How do you simplify this

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Answer 1

Answer: You ALWAYS remove parentheses first.

That gives you [ 1/4 a⁴ b⁻² ] in the denominator, and then
you can start dividing the numerator and denominator by
their common factors ("canceling").

Answer 2

Answer: I think the answer to that might be 1/2 or .5ab^3 because I multiplied the bottom part -2*-2 which is 4ab^4 then the top part is 2ab -3+2= 2ab^-1 then divide 2/4 and subtract -1-4 so it's = 1/2 or .5ab^3

100πcm².

None of the options is correct

Step-by-step explanation:

Total surface area of a cone $S$ = $\pi r^(2)+\pi rl\n$

Since the diagram is half of a cone, its surface area will be $S = (\pi r^(2) +\pi rl)/(2)$

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

$S = (\pi (8)^(2) +\pi (8)(17))/(2)\nS = (64\pi + 136\pi )/(2) \nS = 32\pi + 68\pi \nS = 100\pi cm^(2)$

A librarian wants to know many of her card members would buy used DVDs from the library. The library has 1162 card members. The librarian randomly selects 80 of those members and finds that 63 of them would buy used DVDs from the library. Based on this sample, about how many of the card members would buy used DVDs from the library?

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The answer is around 914.

About 914 card members would buy used dvds from the library.

The endpoints of GE are located at G(–6, –4) and E(4, 8). Using slope-intercept form, write the equation of GE.

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The equation of the line in slope-intercept form is:

Where,

m: slope of the line

b: cutting point with the y axis.

For the slope of the line we have:

$m=(y2-y1)/(x2-x1)$

Substituting values we have:

$m=(-4-8)/(-6-4)$

Rewriting we have:

$m=(-12)/(-10)$

$m=(6)/(5)$

Then, we choose an ordered pair:

Substituting values in the generic equation of the line we have:

$y-8 = (6)/(5) (x-4)$

Rewriting we have:

$y = (6)/(5)x -(24)/(5) + 8$

$y = (6)/(5)x -(24)/(5) + (40)/(5)$

$y = (6)/(5)x + (16)/(5)$

Answer:

The equation of the line in slope-intercept form is:

$y = (6)/(5)x + (16)/(5)$

Answer:

y = $(6)/(5) x + (16)/(5)$

Step-by-step explanation:

The slope-intercept form is y = mx + b, where "m" is the slope and 'b" is the y-intercept.

Given: G(-6, -4) and E(4, 8)

Now we can use these points G(-6, -4) and E(4, 8) and find the slope.

Slope (m) = $(y2 - y1)/(x2 - x1)$

Here x1 = -6, y1 = -4, x2 = 4 and y2 = 8

Plug in these values in the above formula, we get

slope(m) = $(8 - (-4))/(4 -(-6))$

= $(12)/(10)$

Slope (m) = $(6)/(5)$

Now we can use the formula (y - y1) = m(x - x1) and find the required equation.

We can plug in m value and (x1, y1) value and find the equation.

y - (-4) = 6/5(x - (-6))

y + 4 = 6/5(x + 6)

Using the distributive property a(b + c) = ab + ac, we get

y + 4 = 6/5 x + 36/5

y = 6/5 x + 36/5 - 4

y =6/5 x +( $((36 - 20))/(5)$

y = $(6)/(5) x + (16)/(5)$

Which of the following integrals cannot be evaluated using a simple substitution? (4 points) Select one: a. the integral of the square root of the quantity x minus 1, dx
b. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
c. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
d. the integral of x times the square root of the quantity x squared minus 1, dx

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Answer:

B. and C.

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Integration

Integrals
Indefinite Integrals
Integration Constant C

U-Substitution

Step-by-step explanation:

*Note:

It seems like B and C are both the same answer.

Let's define our answer choices:

a. $\displaystyle \int {√(x - 1)} \, dx$

b. $\displaystyle \int {(1)/(√(1 - x^2))} \, dx$

c. $\displaystyle \int {(1)/(√(1 - x^2))} \, dx$

d. $\displaystyle \int {x√(x^2 - 1)} \, dx$

Let's run u-substitution through each of the answer choices:

a. $\displaystyle u = x - 1 \rightarrow du = dx \ \checkmark$

∴ answer choice A can be evaluated with a simple substitution.

b. $\displaystyle u = 1 - x^2 \rightarrow du = -2x \ dx$

We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.

∴ answer choice B cannot be evaluated using a simple substitution.

C. $\displaystyle u = 1 - x^2 \rightarrow du = -2x \ dx$

We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.

∴ answer choice C cannot be evaluated using a simple substitution.

D. $\displaystyle u = x^2 - 1 \rightarrow du = 2x \ dx \ \checkmark$

Using a little rewriting and integration properties, this integral can be evaluated using a simple substitution.

∴ answer choice D can be evaluated using a simple substitution.

Out of all the choices, we see that B and C cannot be evaluated using a simple substitution.

∴ our answer choices should be B and C.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest?

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Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date.

32% is the annual interest rate
1 month is the term
200 is the principal

32% / 12 months = 2.67% per month

200 * 2.67% = 5.34 monthly interest

200 * 32% = 64 annual interest
64/12 = 5.33 monthly interest

She has to pay $5.34 in interes

Answer: A. $5.33

Step-by-step explanation:

I took the test on edge

Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2
16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

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Answer:

Option A is correct.

Value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Step-by-step explanation:

To find the value of: 16 to the power of 1 over 4.

$16^{(1)/(4)}$

we can write 16 as:

$16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4$

⇒ $(2^4)^{(1)/(4)}$

⇒ $(2)^{4 \cdot (1)/(4)}$ [∴ $(a^n)^m = a^(nm)$ ]

⇒2

Hence, the value of $16^{(1)/(4)}$ is, 2.

Therefore, the value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Ans. 16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4

How do you simplify this

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100πcm².

None of the options is correct

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