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2 years ago

Multiply your answer should be in a monomial standard form (7h^3)(3h^7)

Mathematics

2 answers:

KonstantinChe [14]2 years ago

5 0

Answer:

21 h^10

Step-by-step explanation:

(7h^3)(3h^7)

Lets multiply

7*3 h^3 h^7

When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)

21 h^(3+7)

21 h^10

alexdok [17]2 years ago

3 0

$Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}$

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The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 whe

algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

$C(x) = 0.09x^3 - 4.5x^2 + 180x$

Where,

x = number of wheel,

So, the average cost per wheel,

$A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180$

Differentiating with respect to x,

$A'(x) = 0.18x - 4.5$

Again differentiating with respect to x,

$A''(x) = 0.18$

For maxima or minima,

$A'(x) = 0$

$0.18x - 4.5 = 0$

$0.18x = 4.5$

$\implies x = \frac{4.5}{0.18}=25$

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0

3 years ago

А 78 = 21 34 615 78 → b

lyudmila [28]

Answer:

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Step-by-step explanation:

4 0

2 years ago

PLEASE HELP!!

navik [9.2K]

Answer:

B) 8x - 20 + 2x = 11

Step-by-step explanation:

4(2x - 5) + 2x = 11

use pemdas

parenthesis comes first

open the parenthesis

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6 0

3 years ago

For the arithmetic sequence below, find the common difference and the next 3 terms. 12, 16, 20, 24, 28,

earnstyle [38]

Answer:

Step-by-step explanation:

6th term.

7th term.

6 0

3 years ago

Read 2 more answers

Correct notation? im lost someone help?

joja [24]

The correct notation for the $\sqrt{-100} -84$ is -84+10i.

Answer: Option B.

Step-by-step explanation:

A square root is the inverse function of exponential function.

Square root of positive numbers either result natural numbers or rational numbers.

But the square root of negative number is not possible. So that an imaginary number system was founded to represent the square root of negative number.

It is represented with i with the result of the solution of the square root.

Here the given problem is $\sqrt{-100} -84$ ,

-84 will remain the same and let us convert $\sqrt{-100}$ .

$\sqrt{-100}$ can be written as $\sqrt{100}$ × $\sqrt{-1}$ .

$\sqrt{100}$ = 10

$\sqrt{-1}$ = i.

∴ $\sqrt{-100}$ =10i.

The correct notation for the $\sqrt{-100} -84$ is -84+10i

5 0

3 years ago