Which of the following are roots of the polynomial function?
Check all that apply.
F(x)=3-2-5x-3
A. 3-√√2
B. 1-√√3
□ C. -1
D. 3
DE 1+√3
F. 3+√√2

Answers

Answer 1

Answer:B

Step-by-step explanation:


Related Questions

In isosc tri(ABC),AC=BC,AB=6 in., line segment cd is parrelel to line segment ab, and CD= sqrt(3) in find the perimeter of the isosc triangle

Answers

On solving the provided question we can say that median from the vertex in an isosceles triangle is perpendicular to the base.

What is triangle?

ƒ(x)=sin(x)

consider Asin(Bx + C) = y +D changes the amplitude of the function (how high or low it is).

if you want to

Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.

Let O be the circle's centre and P be the midpoint of BC. After that, OP LBC.

Let AP =x and PB = CP -y.

Applying Pythagoras theorem in As AP B and OP B, we have

AB2 = BP2 + AP2 and OB2 = OP2 +BP2

Y2 +x2 ... (i) and, 81 = (9 —x)2 + Y2

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can someone help me please hurry
Question 1: Find the distance between the following points: a) (-2,-2) and (-3, -1) b) (-1,-4) and (5, 4)​

Answers

Answer:

a

Step-by-step explanation:

What is the answer
? I’ve been having triuble

Answers

Answer:

120°

Step-by-step explanation:

We need to find the missing angle <SRM

The angles inside a triangle always add up to 180°. So this means:

<TSR+<STR+<TRS=180°

65°+55°+<TRS=180°

120°+<TRS=180°

<TRS=180°-120°=60°

All angles along a straight line add up to 180°. This means:

<TRS+<SRM=180°

60°+<SRM=180°

<SRM=180°-60°=120°

Answer:

120° is the answer please mark. brainly

Please help me with this question

Answers

Answer:

I don't know

Step-by-step explanation:

Given sin 0 = and angle Ø is in Quadrant I, what is the exact value of cos ✪ in simplest form? Simplify all radicals if needed.

Answers

Answer:

cosΘ = [tex]\frac{\sqrt{21} }{5}[/tex]

Step-by-step explanation:

using the identity

• sin²Θ + cos²Θ = 1 ⇒ cos²Θ = 1 - sin²Θ

given Θ is in quadrant 1 , then cosΘ > 0

sinΘ = [tex]\frac{2}{5}[/tex] , then

cos²Θ = 1 - ( [tex]\frac{2}{5}[/tex] )² = 1 - [tex]\frac{4}{25}[/tex] = [tex]\frac{25}{25}[/tex] - [tex]\frac{4}{25}[/tex] = [tex]\frac{21}{25}[/tex] , then

cosΘ = [tex]\sqrt{\frac{21}{25} }[/tex] = [tex]\frac{\sqrt{21} }{\sqrt{25} }[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]

Please help meeeee with this

Answers

Answer:

30 mm

Step-by-step explanation:

just add the length of each side together

Jenny swam 8 kilometers against the current in the same amount of time it took her to swim 16 kilometers with the current. The rate of the current was 1 kilometer per hour.

How fast would Jenny swim if there were no current?

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let the time taken by Jeeny in both the cases be " t " ~

Now, during upstream : current flow opposes the flow of swimmer (Jenny)

Let her actual speed without current be " v ", so her speed in current (upstream) will be :

[tex]\qquad \sf  \dashrightarrow \: v - 1 \: \: kmph[/tex]

Now, according to formula :

[tex]\qquad \sf  \dashrightarrow \: distance = speed \times time[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8 = (v - 1)t \: \: \: \: \: - (1)[/tex]

Next, durijg dowstream : current flow supporta the flow of swimmer (Jenny)

So, her speed while going downstream will be :

[tex]\qquad \sf  \dashrightarrow \: v +1 \: \: kmph[/tex]

By same formula,

[tex]\qquad \sf  \dashrightarrow \: 16 = (v + 1)t \: \: \: \: \: - (2)[/tex]

Now, solve the two equations ~

[ since time taken by her in both the cases is same, we use t in both equations ]

Divide equation (1) by equation (2) :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{16} = \dfrac{v - 1}{v + 1} [/tex]

[ t gets canceled out ]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} = \dfrac{v - 1}{v + 1} [/tex]

[ cross multiply ]

[tex]\qquad \sf  \dashrightarrow \: v + 1 = 2(v - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v + 1 = 2v - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2v - v = 1 - ( - 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 1 + 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 3 \: \: kmph[/tex]

That's the required answer ~ [ Jimmy would swim at the rate of 3 kmph if she there was no current ]

8. Write the fraction from the number line that is greater than
4
but less than
5
18
3
8

Answers

The fractions greater than 5/8 are 6/8, 7/8 and 8/8

The fractions less than 3/8 are 1/8 and 2/8The fractions greater than 3/8 are 4/8, 5/8, 6/8, 7/8 and 8/8

How to determine the fractions

Fractions greater than 5/8

Using the number line as a guide, we have the following:

Fractions greater = 6/8, 7/8 and 8/8

Fractions less than 3/8

Using the number line as a guide, we have the following:

Fractions less = 1/8 and 2/8

Fractions greater than 3/8

Using the number line as a guide, we have the following:

Fractions greater = 4/8, 5/8, 6/8, 7/8 and 8/8

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Circles and answers please just need help please sap

Answers

On solving the provided question, we can say that  x = central angle = 60 degrees, r = radius = 9 inches and L = 9.42

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

x = central angle = 60 degrees

r = radius = 9 inches

L = arc length

[tex]L = (x/360)*2*pi*r\\L = (60/360)*2*pi*9\\L = 3*pi\\L = 9.42477796076938\\L = 9.42[/tex]

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Jack works as a waiter and is keeping track of the tips he earns daily. About how much does jack have to earn in tips on sunday if he wants to average $19 a day?.

Answers

Jack needs to make at least $95 in tips on Sunday to reach an average of $19 per day.

Average = (Sum of all values) / (Number of values)

Average = ($19) / (7 days)

Average = ($19) / (7)

Average = $2.71

Sunday = ($2.71) x (7)

Sunday = $19.00 + $76.00

Sunday = $95.00

Jack is working as a waiter and needs to keep track of his tips. He wants to make an average of $19 per day and needs to figure out how much he needs to make on Sunday. To calculate this, he needs to first figure out the average he wants to make per day. For this, he needs to divide the amount he wants to make daily ($19) by the number of days he is working (7). This gives him an average of $2.71 per day. To get to the amount he needs to make on Sunday, he needs to multiply this average by the number of days he is working, which is 7. This gives him an amount of $19.00 + $76.00, which equals $95.00. Thus, Jack needs to make at least $95 in tips on Sunday to reach an average of $19 per day.

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A savings account increases from ​$150 to ​$159. What is the percent increase of the savings​ account? Question content area bottom Part 1 The percent increase of the savings account is enter your response here​%.

Answers

Answer:

6%

Step-by-step explanation:

percent of change formula = difference between new and original values divided by original value, then multiply by 100 to get a percent

(159 - 150) / 150 = 9/150

9/150 = .06 = 6%

Show the expression ^2−−6 in factored form and explain what the solution would mean for the equation.

Answers

The expression  x²−−6 can be factored as:

[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]

What is Factoring an expression?

A numerical or algebraic expression is factored when it is written as a product of factors. The distributive property can be used to factor expressions.

The expression  x²−−6 can be factored as:

[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]

The solutions for this equation would be x = √6 or x = -√6. These are the values of x that make the expression equal to zero.

Factoring the expression in this way can be useful in solving related equations or in finding the roots of a quadratic function. It also helps in visualizing the graph of the function, as the factored form shows the x-intercepts, which are the points where the graph crosses the x-axis.

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Which of the statements is true about the graph for the system of inequalities?
y ≤-2x
y ≥ 3

A The graph of the boundary line for y ≥ 3 should be dashed.

B Area C should be the shaded region.

C Area A should be the shaded region instead of the region shaded on the graph.

D The equations y < -2x should be an uphill line, not a downhill line.

Answers

Answer Option C

The point-slope form of the equation of the line is:

Where m is the slope and b is the intersection with the y-axis.

In the line , you can identify that:

The symbol of the inequality "" indicates that you must shade the region below the boundary line and for the symbols of inequalities "" and "" the line must be solid (Observe the graph attached).

Then the answer is the option C.

please mark me brainliest

Answer:

C

Step-by-step explanation:

Area A should be the shaded region instead of the region shaded on the graph.

Find the indicated outputs for f(x) = 4x - 5x. f(2)=​

Answers

Answer:

[tex] \sf \: f(2) = - 2[/tex]

Step-by-step explanation:

Given function,

→ f(x) = 4x - 5x

Now we have to,

→ Find the required value of f(2).

Then the value of f(2) will be,

→ f(x) = 4x - 5x

→ f(2) = 4(2) - 5(2)

→ f(2) = 8 - 10

→ [ f(2) = -2 ]

Hence, the value of f(2) is -2.

An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the investment
when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find (e) the doubling time T
for the given interest rate.
P= $1500, r = 3.95%, t = 5 yr
a) The future value of the investment when interest is compounded annually is $
(Type an integer or a decimal. Round to the nearest cent as needed.)

ANSWER ALL PARTS
A, B, C, D, E

Answers

The future value of the investment when interest is compounded continuously is; $3408.29

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Given Data

P= $1500, r = 3.95%, t = 5 yr

To Calculate the number of periods: in this case we have 5*12= 60 months.

- The monthly interest rate, we have to divide the annual nominal rate by 12 (the number of periods in the year).

Then, we can calculate the future value as:

A = P (1 + r/n)^nt

A = 1500(1 + 3.95/365)(365)^(5)

P = 1500/ (1 + 0.00010137)^(5)

P = $3408.29

The future value when compounded monthly is $3408.29.

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2. I am a regular polygon. One of my interior angles is 135°. What size is one of
my exterior angles?

Answers

Answer:

  45°

Step-by-step explanation:

Given a polygon with an interior angle of 135°, you want to know the measure of the corresponding exterior angle.

Exterior angle

At any given vertex of a polygon, the interior and exterior angles are supplementary:

  exterior angle = 180° - interior angle

  exterior angle = 180° -135°

  exterior angle = 45°

Answer: The sum of the interior angles of a regular polygon can be found using the formula:

(n-2)180°, where n is the number of sides of the polygon.

Let's call the number of sides of the polygon "s".

We know that one of the interior angles is 135°, so we can set up an equation using the formula for the sum of the interior angles:

s * 135° = (s-2)180°

Expanding the right side of the equation:

s * 135° = (s-2) * 180°

s * 135° = s * 180° - 360°

Solving for s:

135° = 180° - 360°/s

135° = 180° - 2 * 180°/s

135° = 180° - 2 * (180°/s)

180° - 135° = 2 * (180°/s)

45° = (180°/s)

So, s = 180° / 45° = 4 sides.

The size of one exterior angle can be found by subtracting each interior angle from 360°:

360° - 135° = 225°.

Therefore, one exterior angle of the polygon is 225°.

Step-by-step explanation:

Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d. Justify your answer.2x + 4y = f
cx + dy = g."
Not quite sure what is meant by the question "what can you say." My only thought so far is that If the system is consistent, that means x and y have the same value for both equations:
x(2 + c) + y(4 + d) = f + g, which, if c = f+g, fits into the form ax + by = c. But that's about it.

Answers

We can know that she can be any value but these 15 times the value of C. The given system is consistent to all the possible values of f and g, the reduction of the row of the augmented matrix must not result in the row of form  [0 0 ... 0 | b]where  B is nonzero.

By looking the row reduction in the system we can see the 2nd row reduces to  [0 0 ...0 | d-15c-g+f]. Since f and g can be any values we can make them both 20 which denotes d - 15 C is equals to zero, or d equals to 15C.

d-15c = 0, or d = 15c.

Therefore we can know that she can be any value but these 15 times the value of C.

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What is an equation of the line that passes through the points (0, -3) and (0, -8)?​

Answers

Answer:

Step-by-step explanation:

here is a step-by-step explanation for finding the equation of the line that passes through the points (0, -3) and (0, -8):

Identify the two points that the line passes through: (0, -3) and (0, -8)

Determine the slope of the line: The slope of a line is given by the formula "rise over run," or (y2 - y1) / (x2 - x1). However, in this case, the line is vertical and has an undefined slope.

Write the equation of the line in slope-intercept form: y = mx + b, where "m" is the slope and "b" is the y-intercept. Since the slope of the line is undefined, the equation of the line cannot be written in slope-intercept form.

Write the equation of the line in point-slope form: y - y1 = m(x - x1), where "m" is the slope and (x1, y1) is a point on the line. Since the slope of the line is undefined, the equation of the line cannot be written in point-slope form.

Write the equation of the line as an x-intercept form: The x-intercept form of a line is given by the equation x = a, where "a" is the x-coordinate of the point that the line passes through. In this case, the line passes through the point (0, -3) and (0, -8), so the equation of the line is x = 0.

So, the equation of the line that passes through the points (0, -3) and (0, -8) is x = 0.

18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B

Answers

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Bill works for the stuff-it mailing service. He receives 25 cents for each document he puts together and prepares for mailing. Last week, bill prepared 2,000 documents for mailing for a local politician. He received a check with gross pay of $474 and is certain the amount is incorrect. A. What is bill's correct total piecework pay? b. How much does his boss owe him?.

Answers

Using the unitary method we found that the amount that Bill should receive is $500 and the amount that his boss owes him is $26.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. Once we have determined the value of a single unit, we may multiply that value by the number of units needed to determine the value of the other units. The concept of ratio and proportion is mostly applied using this way. Recognizing the units and values is crucial when using the unitary technique to a problem.

Given,

    Money received for each document = 25 cents

  Number of documents prepared by Bill = 2000

  The amount he received = $474

a) The correct total pay that Bill should receive = 2000*25 = 50,000cents

   Using the unitary method,

                   1 dollar = 100 cents

                  50,000 cents = 50000/100 = $500

b) The amount that his boss owes him = 500 - 474 = $26

Therefore using the unitary method we found that the amount that Bill should receive is $500 and the amount that his boss owes him is $26.

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What is the first quartile of the data set represented by the box plot shown
below?
13 20 25
A. 25
B. 40
C. 20
D. 13
40
48

Answers

The first quartile of the data set represented by the box plot shown in the figure is 20 option 'C' is correct.

What is the first quartile of the data set?

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order. The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

Since we have given a box and whisker plot.

As we know about the box and whisker method that :

Left most part of the box represents the first quartile and the rightmost part of the box represents the third quartile.

And the middle value is for median

so, we can conclude that

First quartile = 20

Third quartile = 40

Median = 25

Hence, the first quartile of the data set represented by the box plot shown in the figure is 20 option 'C' is correct.

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The wheel of a car has an outer radius of 25 cm. Calculate: a how far the car has travelled after one complete turn of the wheel, b how many times the wheel turns for a journey of 1 km.​

Answers

Answer: a) 1.57 m .

b) 637.79 turns

Step-by-step explanation:

a) The circumference of the wheel can be used to determine how far the vehicle has travelled after making one full turn.

Circumference = 2πr = 50π

C = 157 cm

b)By dividing the entire distance traveled by the diameter of the wheel, we can determine how many times the wheel will turn over a ride of 1 km (1000 meters): 1000 m / 1.57 m = 637.79 turns.

What is the volume 

Answers

On solving the provided question, we can say that total volume of figure = total volume of cuboid = lbh =  18+24 = 32 in cubic

what is cuboid?

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

volume of figure 1 = volume of cuboid = lbh = 8*3*1 = 24 in cubic

volume of figure 2= volume of cuboid = lbh = 6*3*1 = 18 in cubic

total volume of figure = total volume of cuboid = lbh =  18+24 = 32 in cubic

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On solving the provided question, we can say that total volume of figure = total volume of cuboid = lbh =  18+24 = 32 in cubic

What exactly is a cuboid?

In geometry, a cuboid is a solid or three-dimensional form. A cuboid is an 8-vertex, 12-sided polyhedron with 6 rectangular faces. A cuboid is another name for a cuboid. A cube is a six-square-faced cuboid. Books and bricks are examples of items found in boxes. The key distinctions between cubic and cubic are as follows: A cube has six equally sized square faces, as opposed to a cube's rectangular faces. Although the cube and cuboid structures appear similar, they differ in terms of side length, diagonal, and area.

Figure 1 volume = cuboid volume = lbh = 8*3*1 = 24 in cubic

Figure 2 volume = cuboid volume = lbh = 6*3*1 = 18

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How much pure alcohol must a pharmacist add to 10^3 of a 10% alchohol solution to strengthen it to a 70% solution? (ASAP)

Answers

Answer:

60% i mean it sounds right

Step-by-step explanation:

A study found that a student's GPA, g, is related to the number of hours worked each week, h, by the equation
g = - 0.0007h? + 0.012h + 3.04. Estimate the number of hours worked each week for a student with a GPA of 2.21.

Answers

Using the equation provided, you can estimate the number of hours worked each week for a student with a GPA of 2.21. The equation can be rearranged to solve for h, the number of hours worked each week.

h = (g - 3.04) / (0.012 + 0.0007)

Plugging in the GPA of 2.21, we get:

h = (2.21 - 3.04) / (0.012 + 0.0007)

h = -4.83 hours

Therefore, a student with a GPA of 2.21 would need to work an average of -4.83 hours per week in order to achieve that GPA.

What was the first target of the huac hearings? communist infiltration in the u. S. State department communist infiltration in the entertainment industry communist influence in the democratic party communist influence in non-governmental organizations.

Answers

"Communist infiltration in the entertainment industry" was the first target of the HUAC hearings among the following choices given in the question.

HUAC was created in 1938 to investigate alleged disloyalty and rebel activities on the part of private citizens, public employees and organizations suspected of having Communist ties.

Originally organized as a minor congressional committee investigating domestic subversion, HUAC (also known as the House Un-American Activities Committee) rose to such power in the late 1940's and early 1950's that the mere threat of investigation by it could ruin a person's career. By the time it was abolished in 1975, HUAC had widened its scope of investigation to include almost every aspect of American society.

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Arithmetic Reasoning
How many 5-pound bags of apples can be made from 400 apples, each weighing 1/4 pound?
A
20
B
C
50
100

Answers

Answer: To find the total weight of 400 apples, we need to multiply the number of apples by their weight. Each apple weighs 1/4 pound, so 400 apples weigh 400 * (1/4) = 100 pounds.

Since each bag should weigh 5 pounds, we can divide the total weight of apples (100 pounds) by 5 to find the number of bags: 100 / 5 = 20 bags.

So, the answer is 20 bags.

Step-by-step explanation:

¿Que probabilidad hay de que al lanzar dos dados la suma sea 11 en la primera tirada y 5 en la segunda? ​

Answers

Answer:

Step-by-step explanation:

The probability of rolling a sum of 11 on the first roll of two dice is 1/36, as there is only one combination of dice that can add up to 11 (a 5 and a 6).

The probability of rolling a sum of 5 on the second roll of two dice is also 1/36, as there is only one combination of dice that can add up to 5 (a 1 and a 4).

The probability of two independent events occurring is equal to the product of their individual probabilities. So, the probability of rolling a sum of 11 on the first roll and a sum of 5 on the second roll is:

1/36 * 1/36 = 1/1296

So, the probability of rolling a sum of 11 on the first roll and a sum of 5 on the second roll is 1/1296.

1. Ben purchased a used car for $25,500 and had to pay 9.5% sales tax. How much did he pay in sales tax?
2. The cost of an ad in a local paper is given by the piecewise function.
x≤5)
c(x) = {40 +7(x-4), x> 5}
Find the difference in cost between a one-line ad and a four-line ad.

Answers

The difference in cost between a one-line ad and a four-line ad is $14.

What is percentage ?

Percentage can be defined as product of ratio of given value, total value and hundred.

To find how much Ben paid in sales tax, we need to first calculate the amount of the sales tax.

The sales tax is 9.5% of the purchase price of the car, which can be expressed as a decimal by dividing by 100:

Sales tax rate = 9.5% = 0.095

To find the amount of sales tax, we can multiply the purchase price by the sales tax rate

Sales tax = 0.095 x $25,500 = $2,422.50

Therefore, Ben paid $2,422.50 in sales tax.

The cost of an ad in a local paper is given by the piecewise function:

c(x) = 40, for x ≤ 5 (one-line ad)

c(x) = 40 + 7(x - 4), for x > 5 (four-line ad)

To find the difference in cost between a one-line ad and a four-line ad, we can subtract the cost of a one-line ad from the cost of a four-line ad:

c(6) - c(1) = (40 + 7(6 - 4)) - 40 = 14

Therefore, the difference in cost between a one-line ad and a four-line ad is $14.

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HELP PLSSSSSSSSSSSSSSSSSS

Answers

Answer: A) 6

Step-by-step explanation:

This is geometry. The two angles are corresponding angles, because they are both cut by the same **transversal line**. When that occurs, corresponding angles are created.


now importantly: corresponding angles are equal to each other, or **congruent**. Knowing this, we can set them equal to each other.


17x+11=19x-1

Solve...

11=2x-1

12=2x

x=6


hope this helps

MM

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autocorrelation a. should cross-section or time-series multiple regressions be checked for autocorrelation? b. explain what autocorrelation is. c. what is the name of the test for determining if a regression has autocorrelation? d. how do you correct for autocorrelation? For some reason, Brainly keeps saying that the question I'm asking hurts their feelings though I am just typing out the question from the screenshot. please take a lookThere is part A and Part B. Describe the molecular structure around the indicated atom or atoms:(a) the sulfur atom in sulfuric acid, (b) the chlorine atom in chloric acid, (c) the oxygen atom in hydrogen peroxide, HOOH(d) the nitrogen atom in nitric acid, (e) the oxygen atom in the OH group in nitric acid, (f) the central oxygen atom in the ozone molecule, (g) each of the carbon atoms in propyne, (h) the carbon atom in Freon, (i) each of the carbon atoms in allene, What does it mean when someone writes (n k) or n choose k? Nicholas works at the car dealership, if he gets a 4% commission, and 10 pantssells the two cars ($33,500/car) to Mr. Sherman, how much commissionwill he earn?A $2,917.85B. $3,040C $3,309 80D $2,680 21.The Cold War dominated international politics during the 1950s and 1960s. Select all the events that show the impact of the Cold war on international politics during this period. (A)Created an arms race between the U.S. and USSR (B)Produced great cooperation between the U.S. and USSR (C)Brought the world close to nuclear war over Cuba (D)Provoked military conflicts in Korea and Vietnam (E)Cause the U.S. to boycott the UN Security Council (F)Led to the creation of NATO and Warsaw Pact alliances 22.The Korean peninsula was taken from Japan at the end of World War II. The Soviet Union and the United States clashed over how this territory should be governed. How did the ideological conflict between the Soviet Union and the United States affect the division of the Korean peninsula? (A)It increased religious tensions, leading to a Buddhist north and a Christian south. (B)It created political conflict, leading to a communist-controlled north and an anti-communist south. (C)It intensified ethnic conflict, leading to a north controlled by China and a south controlled by Korea. (D)It created tensions over natural resources, leading to a mineral-rich north and an agriculturally rich south 23.The United States was concerned about the spread of communism throughout most of the 20th century. Following World War I, suspected communists were persecuted in what was known as the Red Scare. A similar pattern of persecution resurfaced after World War II. What was this development known as? (A)progressivism (B)the Marshall Plan (C)the counterculture movement (D)McCarthyism 24.Following World War II, the United States experienced an era of unprecedented prosperity and economy growth. Which factor contributed to this post-war prosperity? (A)increased barriers to international trade (B)development of a nationwide network of railroads (C)increased consumer demand for goods and services (D)new government regulations imposed on large corporation25.Select all of the causes that led to the increased consumer demand for goods and services in the era following World War II. (A)decreased immigration from Asian countries (B)increased income for a large percentage of the U.S. workforce (C)rapid population growth following the homecoming of American military personnel (D)establishment of the New York Stock Exchange (E)establishment of a free trade agreement among the United States, Mexico, and Canada 26.How did the Marshall Plan aim to contain the spread of communism? (A)It built up the western European armed forces. (B)It helped to rebuild and strengthen European economies. (C)It forced Americans to take loyalty oaths to avoid losing their jobs. (D)It created a military alliance among western European and North American nations. 27.The following question has two parts. First, answer part A. Then, answer part B. [Part A] Which issue was the leading cause of political debate over national security in the United States during the 1940s and 1950s? (A)Fear about communist infiltration in the government. (B)Fear about future terrorist attacks on major American cities. (C)Concern about the escalation of the military conflict in South Vietnam, (D)Concern about the nation being pulled into conflict as a result of international alliances. [Part B] Why did the issue you identified in part A lead to political debate over national security during this time period? (A)Some Americans supported the United States' membership in the League of Nations, while others felt that the nation should follow an isolationist foreign policy. (B)Some Americans supported new laws allowing the government to monitor communications, while others saw these new laws as an infringement of personal privacy. (C)Some Americans supported the investigations conducted by Senator Joseph McCarthy, while others felt that the investigations infringed in citizens' rights. (D)Some Americans supported actions taken by the United States to contain the international spread of communism, while others felt these actions did not align with the nation's values. Review the section "Computerized Conservation"on pages pages 3 and 4.Click or tap the TWO underlined sentences onthese pages that BEST support the inference thatcommercial boats are failing to adhere to rulesthat prohibit fishing. If x = -2, what is y = ? If I am allergic to penicillin, is it safe to use amoxicillin? A. ) Find the value of each inverse trigonometric ratio in degrees. B. ) Find the exact value of each inverse trigonometric ratio in radians what is the difference between assignment and equality? during assignment, the result of the calculation on the right side of an equals sign is assigned to a variable on the left of the equals sign. equality is a logical test that evaluates whether two values are equivalent. assignment is a logical test that evaluates if two values are equivalent. during equality, the result of the calculation on the right side of an equals sign is set to a variable on the left of the equals sign. assignment and equality perform the same action. none of the above The sales clerks of Teresas Treasures are paid a salary of $225 per week plus a commission rate of 8% on all sales they make. Calculate the gross earnings for the employees---Remember to add their commission! Tina Valendez-Sales for the week: $2,392.50 C6H6 (l) + Cl2 (g) C6H5Cl (s) + HCl (g)If 45.6g of benzene (C6H6) reacts completely with the chlorine gas (Cl2), how many atoms of hydrochloric acid will be produced a researcher is comparing iq and poverty rates among a group of 5-year-olds, 8-year-olds, and 11-year-olds. this is an example of a(n) study. Simplify the expression.-9(a + b) - 3a is 5.2481 a ratinal number according to the textbook, which of the following statements about corporate strategy with legal counsel is/are true? multiple choice it is considered a sound strategy for a corporation to rely exclusively on attorneys to drive the legal decision-making process because they are the experts in the law and will generally understand the business side of things better than many corporate managers. research indicates that management working cooperatively with attorneys will add value to the business. if one can understand the fundamentals of legal theory and how they impact a business, this is all that is needed to be able to understand how legal decisions should be made in a business context. all of the answer choices are correct. the rn on the neuromedical unit is assigned 4 patients which should he/she assess first? a. pt with skull fracture with a bleeding nose b. older pt with 2 days post stroke who is confused and agitated c. pt with meningitis who has suddenly become agitated and reporting headache 10/10 d. pt who had craniotomy for brain tumor and who is now 3 days post op with continued vomiting Some of the physical adaptations that humans have gone through that allow us to do language are actually disadvantages in other areas such as survival. TRUE OR FALSE EXPLAIN! The minimum amount of ammonium carbonate that reacts to produce 1.0 mole of ammonia is