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3 years ago

4.) Mindy works for an ice cream cart vendor. She receives $38 for taking the cart out for a

Mathematics

2 answers:

Ivanshal [37]3 years ago

7 0

Mindy from the office so what she doing without the paper

vodka [1.7K]3 years ago

7 0

Answer:

10 year old virgin nerddddd

Step-by-step explanation:

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The fence is 68 feet long and 1/2 feet thick. 7 feet of space is between each post. How many posts are used for the fence. I thi

kolezko [41]

Answer:

We could say 10

Step-by-step explanation:

1) Remove unneeded info

2) Divide the length by the distance between posts

68/7

3) Will give you a decimal but ro7nd up to 10

8 0

3 years ago

What is the slope of the following graph? (write your answer as a fraction unless divided by 1. Do not use spaces in your answer

alexira [117]

The slope of the graph is 4/5

<h3>How to determine the slope</h3>

Using the formula

Slope = Δ y-axis / Δ x- axis

y2 = -4

y1 = 0

x2 = -5

x1 = 0

Slope = $\frac{y2 - y1}{x2 - x1}$

Substitute the values into the formula

Slope = $\frac{-4 - 0}{- 5 - 0}$

Slope = $\frac{-4}{-5}$

Slope = $\frac{4}{5}$

Therefore, the slope of the graph is 4/5

Learn more about slope here:

brainly.com/question/3493733

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5 0

2 years ago

Michael Pedro and Kevin were saving money. All together they saved $130. Kevin saved 3 times more than Pedro. Michael saved $20

yKpoI14uk [10]

Answer:

The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Step-by-step explanation:

Given as :

The three person namely Michael , Pedro , Kevin

The total saving of all together = $ 130

Let The Michael's saving = $ M

The Pedro's saving = $ P

The Kevin's saving = $ k

I.e Michael's saving + Pedro's saving + Kevin's saving = $ 130

Or, M + P + K = $ 130

again ,

Kevin saved 3 times more than Pedro

I.e K = 3 × P

And , Michael save $ 20 less than Pedro

I.e M = P - $ 20

Now

∵ M + P + K = $ 130

or, ( P - $ 20) + P + 3 × P = $ 130

Or, 5 P - $ 20 = $ 130

Or, 5 P = $ 130 + $ 20

Or, 5 P = $ 150

∴ P = $ $\frac{150}{5}$

I.e P = $ 30

So The Pedro's saving = P = $ 30

And

M = P - $ 20

∴, M = $ 30 - $ 20

I.e M = $ 10

So, The Michael's saving = M = $ 10

Similarly

K = 3 × P

∴ k = 3 × $ 30

I.e K = $ 90

So, The Kevin's saving = k = $ 90

Hence The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Answer

5 0

3 years ago

Calculus Problem

Roman55 [17]

The two parabolas intersect for

$8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2$

and so the base of each solid is the set

$B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}$

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, $|x^2-(8-x^2)| = 2|x^2-4|$ . But since -2 ≤ x ≤ 2, this reduces to $2(x^2-4)$ .

a. Square cross sections will contribute a volume of

$\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x$

where ∆x is the thickness of the section. Then the volume would be

$\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}$

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

$\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x$

We end up with the same integral as before except for the leading constant:

$\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx$

Using the result of part (a), the volume is

$\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}$

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

$\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x$

and using the result of part (a) again, the volume is

$\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}$

7 0

2 years ago

Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, mul

prisoha [69]

Answer:

l = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

l = length

w = l - 5/4

2l + 2(l - 5/4) = 11/4

2l + 2l - -5/2 = 1/4

multiply each side by 4

8l + 8l - 10 = 11

16l = 21

l = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

8 0

3 years ago