Rectangle GHIJ is dilated to be a smaller shape. What is the name of the image after the dilation? GHIJ G prime H prime I prime J prime IGJH J prime I prime H prime G prime

Answer:

15\(\pi\)

Step-by-step explanation:

with diameter

A=\(\pi\)d

A=\(\pi\)(15)

A=15\(\pi\)

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

Hence the correct option is Option b that is the same for each interval.

Step-by-step explanation:

The PDF for Uniform distribution in [a,b] is given by  

\(f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b\)  

So the probability that the random variable assumes a value in​ [a,b] is given by  

\(\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1\)

Therefore the correct option is b. the same for each interval.

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

To learn more about integers

https://brainly.com/question/1768254

#SPJ4

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

Answer: 10/27

Step-by-step explanation:

Your multiplying the top and bottom yw :)

Answer:

I GOT YOU I GOT YOU

THE ANSWER IS 10/27

given the following answers:

0, 5, 1, 2, 4, 0, 1, 3, 2, 2, 0, 1, 5, 3, 4, 4, 2, 1, 6

to get the mean, you add up all the values given and divide by the outcome or the number of values

so,

the mean = 0 + 5 + 1 + 2 + 4 + 0 + 1 + 3 + 2 + 2 + 0 + 1 + 5 + 3 + 4 + 4 + 2 + 1 + 6/19

since the total number is 19

Mean = 46/19

Mean = 2.4211

Therefore,

Mean = 2.4 ( To the nearest tenth)

Answer:78

Step-by-step explanation:

very simple

acb is an enlargment of fdc

39/18=2 3/18

2 3/18x36=78

Step-by-step explanation:

Since y= -7x you will want to substitute the y in the other equation.

2x -(-7x) = -9

2x + 7x = -9

9x = -9

so x will be -1

y= -7(-1)

x= -1

y= 7

Answer:

x = -1 , y =7      (-1,7)

Step-by-step explanation:

\(y=-7x\\2x-y = -9\\\)

\(2x+7x = -9\)

\(2x+7x = 9x\\\)

\(9x = -9\\\)

\(\frac{9x}{9} =\frac{-9}{9}\)

\(x = -1\\\)

\(y = -7(-1)\\y = 7\)

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

i need help with this to

Step-by-step explanation:

the table of values will be values of x and y respectively.

x= -2,0,0,and 3

y= 0,1,-4 and 0.

Solution:

√y - ⁴√y - 6 = 0

(⁴√y)² - ⁴√y - 6 = 0

u² - u - 6 = 0

u = 3 and u = -2

⁴√y = 3

y = 81

⁴√y = -2

y ∈ R

Answer: y = 81

Best of Luck!

Answer:

The value of y is 81.

Step-by-step explanation:

See the steps below :

\( \sqrt{y} - \sqrt[4]{y} - 6 = 0\)

\( {y}^{ \frac{1}{2} } - {y}^{ \frac{1}{4} } - 6 = 0\)

\(let \: {y}^{ \frac{1}{4} } = x\)

\( {x}^{2} - x - 6 = 0\)

\((x + 2)(x - 3) = 0\)

\(x = - 2\)

\( {y}^{ \frac{1}{4} } = - 2\)

\( log( {y}^{ \frac{1}{4} } ) = log( - 2) \: (rejected)\)

\(x = 3\)

\( {y}^{ \frac{1}{4} } = 3\)

\( log( {y}^{ \frac{1}{4} } ) = log(3) \)

\( \frac{1}{4} log(y) = log(3) \)

\( log(y) = 4 log(3) \)

\( log(y) = log( {3}^{4} ) \)

\( log(y) = log(81) \)

\(y = 81\)

The answer is to complicated for my small brain so ask someone else

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

Answer:

7

Step-by-step explanation:

you just multiply from the least and once you get to the greatest, it should be 7

Answer:

x<-4

Step-by-step explanation:

7 - 2x > 15

15+2x=7

x=-4

It has to be less than -4, so it can make the inequality true, you can plug in a number to the equations as well for example:

7-2(0)>15 Not True

7-2(-5)>15 True

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

Read more about positive numbers at

https://brainly.com/question/1782403

#SPJ1

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

Learn more about the Statistics here: https://brainly.com/question/218301

#SPJ1

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

Read more about inequalities

https://brainly.com/question/25275758

#SPJ1

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

*see attachment for the graph

Answer:

Unit rate = 50

It means 50 miles per hour

Step-by-step explanation:

On the graph given, two points are noted in the line. They are (2, 100) and (5, 250).

The graph is a proportional graph because the line passes through the point of origin, (0, 0). Thus, unit rate of variable x and y of this kind of graph = y/x.

Using one of the points, (2, 100):

Unit rate = y/x = 100/2 = 50.

This means Darius traveled 50 miles per hour.

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650

The exponential value equation is A = 1/√x = 1/x^(-1/2)

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = x ^ ( 1/6 ) / x ^ ( 2/3 )

On simplifying , we get

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

So , A = x ^ ( 1/6 - 2/3 )

On further simplification , we get

A = x ^ ( -3/6 )

A = x ^ ( -1/2 )

So , the value of A is

A = 1/√x

Hence , the exponential equation is solved

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ1