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1 year ago

--Multiplying Polynomials--Use the given formulas to express the volume of each object as a polynomial.

Mathematics

1 answer:

sasho [114]1 year ago

6 0

32.

V = L*w*h

Where:

V= Volume

L= Length = x+5

w= width = x-2

h= height = 6

Replacing with the values given:

V= (x+5) * (x-2) * 6

V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6

V= [ x^2 - 2x + 5x - 10 ] * 6

V= [ x^2 + 3x - 10] *6

V= (x^2*6) + (3x*6)+ ( - 10 * 6)

V= 6x^2 + 18x - 60

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Answer:

251.2

Step-by-step explanation:

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3 years ago

K=mv^2/2 solve for v

matrenka [14]

Answer: $v=\sqrt[]{\frac{2K}{m} }$

Step-by-step explanation:

$K=\frac{mv^2}{2}$

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

$2*K=\frac{mv^2}{2}*2$

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Divide by m to isolate $v^2$ .

$\frac{2K}{m}=\frac{mv^2}{m}$

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To eliminate the square and isolate v, extract the square root.

$\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}$

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let's rewrite it in a way that v is in the left side.

$v=\sqrt[]{\frac{2K}{m} }$

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3 years ago

The length of a screwdriver is 19 centimeters. The handle is 5 centimeters long. What is the length of the top of the screwdrive

ira [324]

19 minus five is 14.

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3 years ago

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A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?

zepelin [54]

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

$\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
n = number of times interest applied per time period
t = number of time periods elapsed

Given:

P = $2,000
r = 3.25% = 0.0325
n = 1
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Substitute the given values into the formula and solve for A:

$\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}$

$\implies \sf A=2000(1.0325)^{10}$

$\implies \sf A=2753.788608...$

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

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