Pls help my homework is due in 7mins

Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.

Given

Antawan determines the distance between two points as 9.

Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9

Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.

The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.

hence option 2 is right.

Learn more about absolute values here:

https://brainly.com/question/5012769

#SPJ9

The  number corrected to 1 decimal place is 78.5

The number corrected to the nearest hundredth is 78.47

From the question, we are to estimate the given number to the nearest 1 decimal place

The given number is

78.4695

Correcting to 1 decimal place

In the given number, we can observe that the hundredth digit is greater than 5, thus we will add 1 to the tenth digit

Thus,

78.4695 corrected to 1 decimal place is 78.5

Correcting to the nearest hundredth

The thousand digit is greater than 5, thus we will add 1 to the hundredth  digit

Thus,

78.4695 corrected to the nearest hundredth is 78.47

Hence,

The  number corrected to 1 decimal place is 78.5

The number corrected to the nearest hundredth is 78.47

Learn more on Estimation here: https://brainly.com/question/886963

#SPJ1

If a road was made directly from his home to his place of work, its distance will be 16.6 mi.

If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).

if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.

Using Pythagorean theorem, we can solve for the distance of the road.

c^2 = a^2 + b^2

where c is the distance of the road

a is the distance he travels to the east

b is the distance he travels up north

c^2 = a^2 + b^2

c^2 = (14 mi)^2 + (9 mi)^2

c^2 = (196 + 81) mi^2

c^2 = 277 mi^2

c = 16.64331698 mi

distance of the road = c = 16.64331698 mi

Rounding off to the nearest tenth of a mile:

distance of the road = 16.6 mi

Learn more about Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ4

Answer:

4 years old

Step-by-step explanation:

3x = x + 8

2x = 8

x = 4

Answer:

4 y/o

Step-by-step explanation:

x = age now

  add 8 years

x+8    and this equals   3 times as old as he is now, or  3x

x+8 = 3x       subtract 'x' from both sides

8 = 2x           divide both sides by 2

x = 4 y/o

Answer:

56.25π in²

Step-by-step explanation:

The area of a circle is given by πr², where r is the radius of the circle.

Given that the diameter is 15 inch, let's calculate the radius.

Diameter= 2 ×radius

Radius

= 15 ÷2

= 7.5 in.

Applying the formula for area of circle,

area of circle

= π(7.5)²

= 56.25π in²

Since the question requires for the answer to be in terms of π, we have arrived at our answer.

For more about area of circle, do check out: https://brainly.com/question/19168464?utm_source=android&utm_medium=share&utm_campaign=question

The ratio of circumference/diameter for all circles is π. And the ratio of force/mass for all freely-falling bodies will be g.

Let d be the diameter of the circle. The circumference of the circle will be

C = πd units

The ratio of circumference to diameter for all circles is pie.

C/D = πd / d

C/D = π

Then the ratio of force to mass for all freely-falling bodies will be

The force acting on a free-falling body of mass (m) is mg. Then we have

Force/Mass = mg / m

Force/Mass = g

Where g is the acceleration due to gravity.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ4

X = 0.6444

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

tan x +sec x =2

⇒sin x /cosx + 1/ cos x = 2

⇒1+sin x / cos x  =2

⇒ (sin² x/2 +cos ² x/2 +2 sin x/2 cos x/2 )/( cos ² x/2 - sin²x/2 ) = 2

⇒(cos x/2 +sin x/2)² / ( cos ² x/2 - sin²x/2 ) = 2

⇒( cos x/2+sin x/2)² / (cos x/2 + sin x/2)(cos x/2-sinx/2) = 2

⇒(cos x/2 +sin x/2)/ (cos x/2-sin x/2) = 2

Dividing by cos x/2 in both numerator and denominator,

⇒(1+tan x/2)/(1-tan x/2) =2

⇒ 1 + tan x/2 = 2 - 2tanx/2

⇒ tan x/2 = 1/3

⇒ x= 0.6444

To learn more about trigonometric identities, refer to https://brainly.com/question/7331447

#SPJ9

Answer:

Q=-8

Step-by-step explanation:

Q-2-6

After simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

- ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y)

First we will multiply 2 and open the brackets.

So, we get that:

- 7 x + 3 y + 3/2 x + y

Combining the like terms, we get that:

= ( - 14 + 3 ) x / 2 + 3 y + y

Simplifying and solving the expression to obtain the result, we get that:

= - 11 / 2 x + 4 y.

Therefore, after simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

Learn more about expression here:

https://brainly.com/question/723406

#SPJ9

Using linear functions, we have that:

a. For 6 or more games, the cost a bowling alley A is less, and for 4 or less games, the cost at bowling alley B is less.

b. For any number of games, the cost at alley B will be less.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we have that:

Hence they are given as follows:

The cost for A will be less when:

A(x) < B(x).

Hence:

4x + 7.5 < 4.5x + 5

-0.5x < -2.5

0.5x > 2.5

x > 2.5/0.5

x > 5.

Hence for 6 or more games, the cost a bowling alley A is less, and for 4 or less games, the cost at bowling alley B is less.

For item b, with the increase of $0.5 per game, we have that:

A(x) = 4.5x + 7.5.

Then the costs per game will be the same, while alley B has the lower intercept, meaning that for any number of games, the cost at alley B will be less.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

Step-by-step explanation:

      Atsu  :  Sabu

         3     :     7

         x     :    x + 20

x is equal to the number of cedis

cross multiply the ratio above

3(x+20) = 7x

3x + (20×3) = 7x

3x + 60 = 7x

3x - 3x + 60 = 7x - 3x                  (put - 3x on both sides of the equation)

60 = 4x

60/4 = 4x/4                                (divide both sides by 4)

15 = x

Answer:

a) P(X < 24) = 0.1151

b) P(24 < X < 36) = 0.7698

c) X value for P(x < X) = 0.95 is X = 38.225

Step-by-step explanation:

a) P(X < 24)

Since μ = 30  and   σ = 5 we have:

[tex]\text {z value = } \dfrac{24-30}{5}} = -1.2[/tex]

P(X < 24) =  P(Z < -1.2) = 0.1151
You can use a calculator or the standard normal tables to determine P(Z < -1.2)

b) P(24 < X < 36)

First find P(X < 36) using the technique detailed in part a)

For 36, the Z value is  
[tex]\dfrac{36-30}{5} = 1.2[/tex]

P(X < 36) = P(z < 1.2) = 0.8849

P(24 < X < 36) = P(X < 36) - P(X < 24) = 0.8849 - 0.1151 = 0.7698

c) X value below which 95% of the area is covered

Using a calculator (or tables) the z value corresponding to P(z < Z) = 0.95 is Z = 1.65(approx)

[tex]\text{We have } \dfrac{X - \mu}{\sigma} = z\\\\\dfrac{X - 30}{5} = 1.645\\\\\text{Multiplying both sides by 5: }\\\\X - 30 = 1.645 \times 5 = 8.225\\\\X = 30 + 8.225 = 38.225[/tex]

So X value is 38.225-

Answer:

C

Step-by-step explanation:

(2x - 12)(2x + 12)

4x² + 24x - 24x - 144

4x² - 144

The individuals of a set are the various data or variable of a data set.

The study's participants or study subjects are referred to as individuals. The trait of the person being measured or observed is known as a variable. For instance, if we were to do a research on climbers of Mount Everest, the participants would be the real climbers who succeeded in reaching the summit.

A categorical variable places each individual in to a category such as male or female.

A quantitative variable has numerical values that measure some characteristic of each individual, such as height in centimeter or salary in dollars.

The problem deals with the concept of types of variables. We use the definition of variables to identify/determine the type variable from the known information.

The individuals in the data set are vehicles or cars.

The given information is related to the different types of cars and its model, and specifications. Hence, the vehicles or cars are individuals in the data set.

To learn more about individuals in a dataset:

https://brainly.com/question/3744191

#SPJ9

Answer:

2,3,4,6,8

Step-by-step explanation:

prime factorization: 2^3×3×7 which has: 2, 3, 4, 6, 8

Answer:

It is divisible by 1, 2, 3, 4, 6, 7, 8

Step-by-step explanation:

Everything is divisible by one, so this is obvious.

168 is an even number, therefore being able to be divided by 2

1+6+8=15 which is in the 3 times tables (3x5=15)

If the last two digits are divisible by 4 (which 68 is) then you can divide it by 4.

168 doesn't end in 5 or 0 so it can't be divided by 5

This number can be divisible by 2 and 3 so it can be divided by 6

160 is divisible by 8 so if you add 8 it is divisible.

1+6+8=15 again which is not divisible by 9

It doesn't end in 0 meaning it cannot be divisible by 10

Hope this helped! <3

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Learn more about the Inferential statistic visit:

https://brainly.com/question/15713806

#SPJ4

Answer: The equations are:

X+3=Y;

45X + 75Y  = 1455 ;

The variables used are X and Y specifying number of small and large boxes

Step-by-step explanation:

Let X be  the number of small boxes

Let Y be  the number of big boxes

The first equation is:  X+3=Y;  (  Since there were 3 more small boxes shipped than large boxes )

The second equation is:    45X + 75Y  = 1455   ( this is because the small box weighs 45 pounds and big box weighs 75 pounds.  The total weight of the small boxes is 45 times the weight of each individual box. And the total weight of the second boxes is equal to 75Y.)

Learn more here about equation in two variable

 https://brainly.com/question/28499639

#SPJ9

Answer:

Step-by-step explanation:

The variables used are A and B specifying number of small and large boxes

Let the number of small box is A

Let the number of large box is B

The first equation is:  A+3=B;

(  Since there were 3 more small boxes shipped than large boxes )

The second equation is:    45A + 75B  = 1455   ( this is because the small box weighs 45 pounds and large box weighs 75 pounds.  The total weight of the small boxes is 45 times the weight of each  box. And the total weight of the second boxes is equal to 75B.)

Learn more here about equation in two variable: https://brainly.com/question/28499639

The area of the circular plate is 9234 inches²

The plate is circular and have a circumference of 34.54 inches.

Hence, let's find the radius of the circular plate using the circumference of the circular plate.

circumference of the circular plate = 2πr

where

Therefore,

34.54 = 2π × r

r = 34.54  / 2π

r = 17.27π

Therefore,

area of the circular plate = πr²

area of the circular plate = π × ( 17.27π)²

area of the circular plate = π³ × 298.2529

area of the circular plate = 3.14³ × 298.2529

area of the circular plate = 9233.65447952

area of the circular plate = 9234 inches²

learn more on area here: https://brainly.com/question/19583208

#SPJ1

=========================================================

Explanation:

The output of an absolute value is never negative.

The result of |2x+2| can never be negative, so we will have no solutions for the portion |2x+2| < 0

There will be one solution for |2x+2| = 0 as shown in the steps below

|2x+2| = 0

2x+2 = 0

2x = -2

x = -2/2

x = -1

------------------

Check:

|2x+2|  ≤ 0

|2(-1)+2| ≤ 0

|-2+2| ≤ 0

|0| ≤ 0

0 ≤ 0

We get a true statement at the end to fully confirm the single solution of x = -1

Answer:

2,957,468

Step-by-step explanation:

Each digit to the left is worth 10 times more than the same digit one place to the right.

If 2,957,648 becomes 2,957,468, the 4 moves from the tens place to the hundreds place, and now its value is 400 instead of 40, so it's 10 times greater.

Answer:

Step-by-step explanation:

One

23 + 52 = 75    This can be done using columns

2  3

5  2      No carries Add.

7   5

Two

72 - 33 = 39

7    2

3    3     You have to borrow a ten from the 7 to make this work

3   9

Three

82 + sqrt(100)

sqrt(100) = 10

82 + 10 = 92

Answer:

it is 3

Step-by-step explanation:

beacuse i did it

Answer:

-16=0.2b

-16/0.2=b

b= -80 answer

Answer:

In the equation "-16 = 0.2b", b is equal to -80.

Step-by-step explanation:

-16 = 0.2b

Turn the decimal into a fraction. This will make solving simpler.

-16 = [tex]\frac{1}{5}b[/tex]

Multiply both sides by 5.

-80 = 1b

Simplify.

b = -80

Let the middle integer be x.

We're given:

[tex](x-1) + x + (x+1) = -27[/tex]

Open up the brackets:

[tex]x-1 + x + x+1 = -27[/tex]

Combine like terms:

[tex]3x = -27[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]

[tex]x=-9[/tex]

The value of the middle integer is -9.

Answer:

66

Step-by-step explanation:

Step-by-step explanation:

x1=2 , y1= -8

x2=5 , y2=-6.

distance= rootunder x2-x1 whole square + y2-y1 whole square

=(5-2)whole square + (-6-(-8)) whole square

= root under 9+4

=rootunder 13 units

Step-by-step explanation:

f(x) = 2x² - 5x

= f(x-4) + f(x)

= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]

= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]

= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]

= [2x² - 21x + 52] + [2x² - 5x]

= 4x² - 26x + 52

The height of the cylinder is 20 meters.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the material. Check the shape's volume here.

Formula= V = π r² h

According to the given value,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 500π cubic meters.

Its radius is given as 5 meters in the figure.

volume of the cylinder.

V = π r² h

We have,

V = 500π cubic meters

500π cubic meters = πr²h

Find the height of the cylinder.

We have,

500π cubic meters = πr²h

Divide both sides by π

500cubic meters = r²h

We have,

r = 5

500 cubic meters = 5² square meters x h

500cubic meters =  25 square meters x h

Divide both sides by 25

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

Learn more about volume of a cylinder visit,

brainly.com/question/27033747

#SPJ9