The coordinate of the vertices for square CDEF translated 3 units right and 4 units up if the vertices are C(-3,1), D(1,5), E(5,1), and F(1,-3) are. C’(0,5), D(4,6), E,(8,6) and F(4,-1). Is it true or false

Answer:105cm to the power of three

Step-by-step explanation:

We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.

Trapezoid has height 3 cm and bases of 2 cm and 5 cm.

Hence, the area of the trapezoid is given by

[tex]A=\frac{a+b}{2} \times h\\ \\ A=\frac{2+5}{2} \times 3\\ \\ A=\frac{21}{2}[/tex]

Therefore, the volume of the right prism with height h=10 cm is given by

[tex]V=\text{Base area }\times { height}\\ \\ V=\frac{21}{2} \times 10\\ \\ V=105 cm^3[/tex]

Therefore, the volume of the right prism is 105 cubic centimeters.

The volume of a prism is given by:

Volume of a prism = base area * height

From the the problem, we have been given volume of the prism = 1360 feet^3

Base area = 160 feet^2

height = x

1360 =160 * x

x = 1360/160 = 8.5 feet

Height of the container = 8.5 feet

Hi there!

Step-by-step explanation:

First, you use slope formula.

[tex]SLOPE=\frac{Y^2-Y^1}{X^2-X^1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{(-4)-0=-4}{0-(-2)=0+2=2}=\frac{-4}{2}=\frac{-4/2}{2/2}=\frac{-2}{1}=-2[/tex]

Slope is -2

Answer is -2

*the answer must have a negative sign.*

I hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

:D

We have been given that the probability of Jaden making a free throw is 15%.

Now, we have to predict the number of free throws that he can expect to make if he attempts 40 free throws.

In order to find the total number of free throws, we will find 15% of 40.

Therefore, the number of free throws should be

[tex]15\%  \text{ of  }40\\ \\ =\frac{15\times 40}{100} \\ \\ =\frac{600}{100} \\ \\ =6[/tex]

Therefore, the number of free throws that he can expect to make if he attempts 40 free throws is 6.

Inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

" Inequality is defined as the algebraic expression which relates the given variables as per the condition with the sign of inequality <,> , ≤, ≥."

According to the question,

Given,

Number on the number line = 07.06

Number on number line with open circle = 9

Inequality shown on the number line drawn we get,

Condition : shaded to the left

Inequality as per the condition: x < 9

Hence, inequality representing the relation of 07.06 number line with open circle on 9 and shading to the left is given by x < 9.

Learn more about inequality here

https://brainly.com/question/20383699

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The complex number √-81-14 is best represented as 9i - √14 (option A)

Why is this correct?

In order to determine the correct notation for the complex number;

The square root of -81 yields the imaginary unit, [tex]\(i\)[/tex], multiplied by 9 (as [tex]\(\sqrt{-81} = 9i\)[/tex]).

The value -14 represents the real part of the complex number.

Hence, the precise notation that combines the imaginary and real parts of this complex number is 9i - √14.

Therefore, in a concise and accurate manner, the complex number √-81-14 is best represented as 9i - √14.

Complete question:

Which of the following is the correct notation for the complex number √-81-14

a) 9i - √14 b) √-81 + √-14 c) √-81 - 14i

Kiesha will have more than 97% of the products working. The experimental probability is 0.98, not 1/30 or 1/50. When the inventory is 4000 clocks, the prediction is that 3880 clocks will work.

To determine if Kiesha will have enough working clocks to please the manager, we need to calculate the percentage of clocks that are functioning properly. We know that 6 out of 300 clocks tested were not working, which means 300 - 6 = 294 clocks were working properly. The percentage of working clocks is (294/300) x 100% = 98%. This means that Kiesha will have more than 97% of the products working, so the statement 'Kiesha will have more than 97% of the products working' is true. The statement 'Kiesha’s experimental probability is 1/30' is false because the experimental probability is calculated by dividing the number of successful outcomes (294) by the total number of trials (300), giving 294/300 = 0.98. The statement 'Kiesha will not meet 97% because more than 3% of her clocks will be broken' is false because the percentage of working clocks is 98%. The statement 'Kiesha’s experimental probability is 1/50' is false because the experimental probability is 0.98, not 1/50. When the inventory is 4000 clocks, the prediction is that 97% of the clocks will work, which is (0.97 x 4000) = 3880 clocks.

Kiesha's experimental probability of a clock not working is 1/50, and with 98% of her clocks working properly, she will exceed her manager's 97% requirement. When scaled to an inventory of 4000 clocks, Kiesha can expect 3920 to be functioning correctly.

When analyzing Kiesha's prediction about her clocks, we find that if 6 out of 300 clocks are not functioning, then 294 clocks are working properly. To determine if Kiesha will have enough working clocks to please her manager (who requires 97% to be in working order), we calculate the percentage of working clocks:

294/300 = 0.98 or 98%

This is higher than the manager's requirement of 97%. Therefore, the following statements about Kiesha's prediction are true:

Thus Kiesha's prediction that she will meet the quality requirements is accurate.