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Vitek1552 [10]
3 years ago
13

What is the unit rate of $4 and 8 pounds

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

32

Step-by-step explanation:

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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
The Johnson family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $476. There was a 5% sales tax
Natasha2012 [34]

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

<h3>How does sales affect cash flow?</h3>

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1)    for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 +  (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

To learn more about sales affect cash flow refer to:

brainly.com/question/24179665

#SPJ1

5 0
1 year ago
A dolphin is swimming to the surface of the ocean while at the same time a bird is flying towards the surface of the ocean. The
maksim [4K]

They are at the same position at 0.5 seconds because with respect to the ocean's surface, they are both 9 feet away.

Hope this helps!!

5 0
3 years ago
Read 2 more answers
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar
Marina CMI [18]

Answer: 35 square centimeters

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
P and W are twice-differentiable functions with P(7)=2(W(7)). The line y=9+2.5(x-7) is tangent to the graph of P at x=7. The lin
fiasKO [112]

Using the product rule, we have

m(x) = x W(x) \implies m'(x) = xW'(x) + W(x)

so that

m'(7) = 7W'(7) + W(7)

The equation of the tangent line to <em>W(x)</em> at <em>x</em> = 7 has all the information we need to determine <em>m'</em> (7).

When <em>x</em> = 7, the tangent line intersects with the graph of <em>W(x)</em>, and

<em>y</em> = 4.5 + 2 (7 - 7)   ==>   <em>y</em> = 4.5

means that this intersection occurs at the point (7, 4.5), and this in turn means <em>W</em> (7) = 4.5.

The slope of this tangent line is 2, so <em>W'</em> (7) = 2.

Then

m'(7) = 7\cdot2 + 4.5 = \boxed{18.5}

4 0
3 years ago
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