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3 years ago

32 lb 12 ounces equals in pounds

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

32 3/4 lb

Step-by-step explanation:

32 lb 12 oz = ? lb

Rewrite 12 oz as (12/16) lb.

Then:

32 lb 12 oz = 32 lb + (3/4) lb, or 32 3/4 lb

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Derivative of 2 tan^3(x)+5 csc^4(x) ?

Leni [432]

Answer:

f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

Step-by-step explanation:

f' of tan(x) = sec²(x)

f' of csc(x) = -csc(x)cot(x)

General Power Rule: uⁿ = xuⁿ⁻¹ · u'

Step 1: Write equation

2tan³(x) + 5csc⁴(x)

Step 2: Rewrite

2(tan(x))³ + 5(csc(x))⁴

Step 3: Find derivative

d/dx 2(tan(x))³ + 5(csc(x))⁴

General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)
Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)
Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)
Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

3 0

3 years ago

Calculate the volume of the rectangular prism

KonstantinChe [14]

Answer:

$v = 336 {mm}^{3}$

Step-by-step explanation:

The formula to find the volume of a triangular prism is

$v = \frac{1}{2} base \: \times height \times length$

From the diagram we are given we can see that

$base = 8 \: \: \ \: \: \: height = 6 \\ length = 14$

Therefore the volume of the triangular prism is

$v = (\frac{1}{2 }b \times h)l \\ \\ v = (\frac{1}{2} 8 \times 6)14\\ \\ v = 4 \times 6\times 14 \\ \\ v = 336 {mm}^{3}$

5 0

2 years ago

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The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w

sukhopar [10]

Answer:

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Step-by-step explanation:

we have

$n(x)=\frac{3}{4}x$ -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to $m=\frac{3}{4}\frac{homeruns}{game}$

therefore

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

<u>Verify</u>

the average rate of change is equal to

$\frac{n(b)-n(a)}{b-a}$

In this problem we have

$n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns$

$n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns$

$a=12\ games$

$b=60\ games$

Substitute

$\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}$

4 0

3 years ago

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garri49 [273]

Answer:

whats up?

Step-by-step explanation:

4 0

3 years ago

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Which of the following terminating decimals is equivalent to Negative 1 and three-fourths?

Tems11 [23]

Answer:

-1.75

Step-by-step explanation:

This should be it, but you didn't provide options although you put "Which of the following.."

3 0

2 years ago

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