In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.

The measure of angle c is 54 degrees

The given parameters are

a = 15x + 81

c = 10x + 24

Angles a and c are supplementary angles

So, we have

a + c = 180

This gives

15x + 81 + 10x + 24 = 180

Evaluate the like terms

25x = 75

Divide by 25

x =3

Substitute x =3 in c = 10x + 24

c = 10 * 3 + 24

Evaluate

c = 54

Hence, the measure of angle c is 54 degrees

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Lashonda biked for 50,51, and 63 miles on the first three days, to make average 54 miles per she needs to bike 52 miles on the last day.

As given,

Lashonda biked for first three days = 50, 51, 63 miles

Let x miles she bike last day

Average = 54 miles per day

Average = (50 + 51 + 63 + x) /4

⇒ 54 = (164 + x) /4

⇒ x = 216-164

⇒ x= 52 miles

Therefore, Lashonda needs to bike 52miles last day to make average 54miles per day.

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Answer:

J. 1

Step-by-step explanation:

Plug the x values into the equation:

f(-1)=3-(-1)^2

f(2)=3-(2)^2

Solve each one, then add.

3-(-1)^2=

=3-1=2

3-(2)^2=

=3-4=-1

Combine the answers together.

2-1=1

The answer is J. 1.

Hope this helps!

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Los ciclistas se encuentran aproximadamente 140 segundos después de partir.

En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:

ω = 2π / T         (1)

Donde:

A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:

x / R = cos ωt   (2)

y / R = sin ωt    (3)

Donde:

Primero, determinar la rapidez angular de cada ciclista:

ω₁ = 2π / 105 s

ω₁ ≈ 0.060 rad / s

ω₂ = 2π / 60 s

ω₂ ≈ 0.105 rad / s

Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).

Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.

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DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.

∠TAC = ∠ABC  (The angle between the chord and the tangent is equal to the angle in the alternate segment)

Since, EDCB is a cyclic quadrilateral,

     ∠CBD + ∠CED = 180  ----- I

-      ∠CED + ∠AED = 180   -----II

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

   ∠ CBD =  ∠AED

Also, ∠ CBD = ∠ EAT( A is tangent to the circle)

So, ∠ EAT = ∠ AED ( Alternate interior angle)

So, DE || ST

Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.

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The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.

The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.

Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.

For the given data points,  Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.

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The Interquartile Range (IQR) is the appropriate measure of variation for the given data points. Q1 and Q3 are 2 and 5 respectively.

The IQR is a method that gives the value of data at the 25th and 75th percentile. Alternatively, it gives the average of the two values which are nearest to these two percentiles, in case a single value does not exist. These values are called Q1 and Q3.

Because these values are less impacted by outliers than the standard deviation, it is best to use them with skewed data.

For the given data points,  Q1 and Q3 are 2 and 5 respectively. Q1 is the average of 5th and 6th values. Q3 is the average of 15th and 16th values.

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Answer: $16.67

Step-by-step explanation:

8% of $48 = 16.67

The first one would be $ 3.59

Explanation-  15% of 23.95 = 3.5925

Rounded off to max. 2 decimal places:

Percentage of

15% of 23.95 ≈ 3.59

Answer:

The graph in the top right hand corner.

Hope this helps :)

Step-by-step explanation:

The formula y = mx + b

shows that m is the slope and b is the y-intercept.

m = 34

b = - 3

So to find the equation of the graph I looked at the y-intercept which is -3 and the graph in the right hand corner has a y-inyercept of -3 so that graph represents the equation y = 34x - 3

Reason:

The equation is y = (3/4)x - 3 which is in y = mx+b form

m = slope = 3/4

b = -3 = y intercept

The y intercept of -3 means the point (0,-3) is on the line. Start at this point and go up 3, then to the right 4 to arrive at (4,0) which is the x intercept. The motion "up 3, right 4" is directly from the slope 3/4

slope = rise/run = 3/4

rise = 3 = go up 3

run = 4 = go right 4

The probability that atleast one students is taking a language class is 0.7

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes are;

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

Atleast 1 is taking a language class out of 2 selected

The probability that atleast one students is taking a language class :

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)

= 0.7

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The height of the boat floating above the seafloor at high tide is 17.5 feet.

In this question, we have been given a boat which is anchored in the water.

At low tide, the boat is floating 20 feet above the seafloor and is a horizontal distance of 40 feet away from its anchor.

And at high tide, the boat is a horizontal distance of 35 feet away from its anchor.

We need to find the distance the boat floating above the seafloor at high tide.

Consider the following diagram.

Let the boat floating m feet above the seafloor when the boat is a horizontal distance of 35 feet away from its anchor.

Since both the triangle are similar triangles, the corresponding sides must be in proportion.

⇒ 20/40 = m/35

We need to find the value of m.

⇒ 20 × 35 = m × 40

⇒ m = 35 / 2

⇒ m = 17.5 feet

Therefore, the height of the boat floating above the seafloor at high tide is 17.5 feet.

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Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.

Who, in brief, is an astronaut?

As the astronaut brought 550 lbs sample,

2.20lbs = 1 kg.

1 lbs = 1/2.20

1 lbs = 0.45

so, 500 lbs nearly implies 227kgs.

Thus, the correct option is D.

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Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

The value of y in expression is 14-2x/-9

The expression is written as

2x - 9y = 14

We are asked to calculate the value of y in the expression

2x - 9y = 14

-9y= 14-2x

Divide by the coefficient of y which is -9

y= 14-2x/-9

Hence the value of y is 14-2x/-9

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Answer:

Step-by-step explanation:

1.

1) =7+(-4)=3

2) =13-8=5

3) =11+5=16

4) =-5-9=-14

5) =-8-1=-9

6) =-1-(-7)=6

7) =-10+13=3

8) =15-7=8

9) =-2+6=4

10) =9-4=5

11) =-1-8=-9

2.

[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

The complementary solution is Ус = C₁е¯ + C₂е¯ -6x

Consider the differential equation

=y" + 7y' + 6y = 30...(1)

Rewrite the equation,(D² + 7D + 6)y = 30 where

d /D = dx

Auxiliary equation is,

f(m) = 0

3 m³ +7m+6=0

m² + 6m+m+6=0

m(m+6) +1(m+6) = 0

(m +6)(m + 1) = 0

m = −1, −6 -6

Hence,

The complementary solution is Ус = C₁е¯ + C₂е¯ -6x

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14, 4, 11, 7

1. 14, 42

   14 = 2 x 7

    42 = 2 x 3 x 7

GCF = 14

2.  16a , 20

     16a=  2 x 2x2x2xa

      20 = 2 x 2 x 5

GCF = 4

3) 22d,33e,99f

        22d = 2 x 11x d

        33e = 3 x 11 x e

         99f = 3 x3 x 11 xf

 GCF = 11

4)21b, 14ab, 49bc

    21b= 3 x 7 xb

    14ab = 2 x 7 x a x b

     49bc = 7 x7xb x c

GCF = 7

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The number of adult plates sold are 30.

It is given in the question that:-

Total money raised by math club = $277.50

Cost of a child plate = $2.25

Cost of an adult plate = $4.75

There are twice as many child plates sold than adult plates.

Let the number of adult plates be x.

Hence, according to the question,

Number of child plates = 2x

Using this data, we can form a linear equation,

2.25*2x + 4.75*x = 277.50

4.50x + 4.75x = 277.50

9.25x = 277.50

x = 277.50/9.25

x = 30

Hence, the number of adult plates sold are 30.

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Answer:

D. Negative 1 over 12

Step-by-step explanation:

-1/3*1/4=-1/12

Hope this helps!

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Answer:

-1/12, so D.

Step-by-step explanation:

-1/3(1/4)

-1/12

Please give brainliest, lol.

According to the given statement:

Equation one:

(7x)[tex]\frac{2}{3}[/tex]

Equation two:

√(9x)²

Equation three:

√(7x)³

Equation four:

∛(9x)²

Equation five

√(7x)³

Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or expression. A radical equation is one that uses radical expressions as the radicands for variables.

The expression's root is represented by the symbol known as the radical. n√x.

The following radical expression can be used to write the given statement:

Equation one:

(7x)[tex]\frac{2}{3}[/tex]

Equation two:

√(9x)²

Equation Three:

√(7x)³

Equation four:

∛(9x)²

Equation Five:

√(7x)³

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I understand that the question you are looking for is:

Rewrite the expression with rational exponents as a radical expression.

The simplest radical form. 2√5 (√6 +2).

Given that

To find

We know that

Simplest radical form is the expression in radical form that, after rationalizing the denominator, leaves no more square roots, cube roots, fourth roots, or other roots to find

So, according to the question

We have

To find the simplest radical form of the given problem, we must first solve those brackets, then multiply under root numbers in root and without root numbers with without root numbers. 

So now, let's follow that process

We will get,

       2√5 (√6 +2)  = 2√5 ×√6 +2√5 ×2

                              = 2√(5×6) + 2×2×√5

                              = 2√(30) + 4√5

So the radical form of that given problem is B) 2√(30) + 4√5

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The solution to the expression -10 + |6 + -17| -- 14 is 15

The expression is given as:

-10+l 6+-17l - - 14

Rewrite properly as

-10 + |6 + -17| -- 14

Evaluate the sum and the difference

So, we have:

-10 + |6 + -17| -- 14 = -10 + |-11| + 14

Remove the absolute bracket

-10 + |6 + -17| -- 14 = -10 + 11 + 14

Evaluate the sum

-10 + |6 + -17| -- 14 = 15

Hence, the solution to the expression -10 + |6 + -17| -- 14 is 15

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The multiplicative rate of a change of the function is 0.5

To solve this question, look at the y coordinates. To get from 10 to 5, and from 5 to 2.5, you divide them by 2. In other words, you multiply them by 0.5. So, the multiplicative rate will be 0 .5.

if we want to find the multiplication. The rate of change of a function, that just means we need to divide one item by the one that comes before it .

An exponential function is a nonlinear function that has the form of. y=abx,wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right,this is the multiplicative rate in exponential function.

You can also calculate exponential growth using the formula f(x) = a(1 + r)x, where:

The f(x) term represents the function.

The a variable stands for the beginning value of your data.

The r variable represents the growth rate.

The x variable is the time interval.

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The gross pay for this week after working overtime is $471.75.

What is the overtime pay rule?

The civil overtime vittles are contained in the Fair Labor norms Act,  Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.

Usual earning Earning = $8.5 for 30 hours for a week

Overtime = 47 hours-30 =17 hours

Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week

Gross pay= ($8.5*30)+($12.75*17)

      = 255 + 216.75

       = 471.75.

The gross pay for this week after working overtime is $471.75.

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Answer:

6.21 × 10⁵

Step-by-step explanation:

move thee decimal from .21000 thats how you get 5

Answer: input is h, output is k

Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution

Answer:

Step-by-step explanation:

Answer:

xy + z = 16

5(2) = 10 + 6 = 16

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

l...................................................