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2 years ago

HELP PLEASE PLEASE 50 PTS

Mathematics

1 answer:

Andrew [12]2 years ago

3 0

Answer:

972

Step-by-step explanation:

The first term is (9x)^3, so the coefficient of x is 9. Since the degree is 3, the second term must have a multiplier of (3 choose 1). 1458 / (3 choose 1) = 486.

486 / (9^2) = 6. Therefore, the coefficient of y must be 6. Since the second term is negative, the coefficient of y is also negative. Thus, this can be written as (9x-6y)^3. Solving for the xy^2 term gives us (3 choose 2) * 9 * 6^2 = $\boxed{972}$ or the third option.

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HELP!! <br> Determine the length of side CB.

bazaltina [42]

Answer:

3√2 is the answer as:

sin45°=p/b

1/√2= AC/CB

1/√2= 3/CB

cross multiplication

CB = 3√2

4 0

2 years ago

A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collec

grin007 [14]

9514 1404 393

Answer:

12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

0.25q +0.10(16 -q) = 2.20

0.15q +1.60 = 2.20 . . . . . . . simplify

0.15q = 0.60 . . . . . . . . subtract 1.60

q = 4 . . . . . . . . . . . divide by 0.15

16-q = 12

There are 12 dimes in the collection.

5 0

2 years ago

It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins

katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0

2 years ago

One more guys. Please make sure you use PEMDAS!

Alexxx [7]

Answer:

-14

Step-by-step explanation:

Replace the 2 for each k.

$\frac{1}{4}2^{5} - 3k^{3} + k^{2} - k$

then solve it using PEDMAS: exponents first

= -14

Avocado out!!!!!!!!

5 0

2 years ago

ATCE Learning Center wants to make a net profit of $650,000 on the manual it sells to schools. The fixed costs for producing the

Elanso [62]

We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85

The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994

The price per unit is $20.99 and the answer is letter "D".

6 0

2 years ago