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3 years ago

Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.

Mathematics

2 answers:

yulyashka [42]3 years ago

4 0

The answer is 300 as 2.5x10x12=300

Zinaida [17]3 years ago

3 0

Answer:

D.300

Step-by-step explanation:

did it on a test.

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Express 0.68 as a percent.

ahrayia [7]

The answer is 68%
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7 0

4 years ago

Read 2 more answers

F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

4 0

3 years ago

Make a list of 5 numbers with a mean of 12 and a mode of 15. <br><br> Explain if you can

mart [117]

The mean is the average value of the numbers given in the series

The mode is the number that is appears more than any other number given in the series

Step-by-step explanation:

Given challenge is make a list of 5 numbers

The list of 5 number is = 8,10,12,15,15

$Mean value = (8+10+12+15+15)/5 =60/5 = 12$

so required mean is 12 has been computed

Mode = 15 ( the number 12 is appeared in two times 8,10,12,15,15)

Final answer

The required numbers are = 8,10,12,15,15

6 0

3 years ago

Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use

Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

(h, k) - Coordinates of the center.
r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0

1 year ago

Solve the following system by graphing.<br> Y =<br> 2 + 5<br> y = -x-1

Klio2033 [76]

Answer:

Step-by-step explanation:

2x + 5 = -x - 1

3x + 5 = -1

3x = -6

x = -2

y = 2 - 1

y = 1

(-2, 1)

4 0

3 years ago