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BlackZzzverrR [31]

3 years ago

10

Michael consumes a 16 ounce bag of potato chips and 12 ounce bag of pretzels every day after school. How many more ounces of pot

ato chips than pretzels will Michael have eaten at the end of a 5 day school week?
A.
20 ounces
B.
80 ounces
C.
60 ounces
D.
28 ounces

1 answer:

icang [17]3 years ago

5 0

Answer:

b

Step-by-step explanation:

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Suppose <br> f '(x) = xe^−x^2

iogann1982 [59]

<h3>Answers:</h3>

(a) The function is increasing on the interval (0, infinity)
(b) The function is decreasing on the interval (-infinity, 0)

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

Explanation:

You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).

The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)

Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)

6 0

3 years ago

Geometry :))), please help me

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

$x+23=0.5(x+41)$

Now we multiply out the brackets and move the terms to different sides:

$x+23=0.5x+20.5$

$0.5x = -2.5$

$x = -5$

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0

3 years ago

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

$s = 4$ -- base sides

$V = 36$ -- Volume

<u>Pyramid B</u>

$s = 6$ --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

3 years ago

Read 2 more answers

Which statement is true about the parts of this expression?

olganol [36]

<span>A) The constant is 7.5. FALSE. 7.5 is a coefficient, not a constant.

</span><span>B) The coefficients are 7.5 and -9. FALSE. The coefficients are 7.5, -1/9 and 2. 50, being a constant, could be regarded as a coefficient in this case.

</span><span>C) The variables are x and y. FALSE. There are three variables: x, y and z.

</span><span>D) The like terms are 7.5y and 2y. TRUE. The variable (y) is the same in each term.</span><span>

</span>

4 0

3 years ago

Read 2 more answers

Your work<br> START<br> f(x)=2x² – 12x-5

MrMuchimi

Answer:

range = (− 23 , ∞ )

domain = ( − ∞ , ∞ )

y-intercept = -5

5 0

3 years ago