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ValentinkaMS [17]
3 years ago
13

Using the foil method, multiply the terms of the binomials below. Show your work in the blanks provided. Then, add any like term

s and write the polynomial in standard form in the space provided. Show your work. (x^2+2x)(5x^2-3x)
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

5x^4+7x^3-6x^2

Step-by-step explanation:

(x^{2} +2x)(5x^{2} -3x)\\\= 5x^{4}-3x^{3} +10x^{3}  -6x^{2}\\= 5x^{4}+7x^{3} -6x^{2}

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What is the probability of throwing a number greater than 4 when rolling a number cube that has sides labeled 1, 2, 3, 4, 5, 6?
Leona [35]
What is probability rolling a number greater than 4?

The only numbers there are is 5 and 6.
That means that there are 2 outcomes out of 6 total outcomes.
That would be 2/6.
Divide the the top and bottom by 2.
In simplest form it would be 1/3.
2/6=1/3

The answer is 1/3. The probability of throwing a number greater than 4 is 1/3.
4 0
3 years ago
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

A = P(1 + \frac{r}{n})^{nt} to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

nt = 4 \times 30 = 120

r/n =  0.065/4 = .01625

1 + r/n = 1.01625

(1 + r/n)^{nt} = 1.01625^{120}

Therefore

A = 25000 \times 1.0625^{120} = 172,984.44


4 0
2 years ago
Triangle ABC is similar to triangle XYZ solve for t?
inna [77]
I need a picture bud
3 0
3 years ago
Pauline gets a 2% commission on her sales at her job. She sells $23,500 worth of products in May.
Illusion [34]
470 dollars . 2% Of 23,500
7 0
3 years ago
Five Cs Bank issues credit cards to its customers. In the past 3.4% of the out-of-state nonfraudulent credit card transactions w
kolezko [41]

Answer:

0.0838 (8.62%)

Step-by-step explanation:

defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is

P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent =  0.033 * 0.092 + 0.977 * 0.034 = 0.0362

then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent  , then

P(F/G)=P(F∩G)/P(G) =  0.033 * 0.092 /0.0362 =  0.0838 (8.62%)

where

P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station

P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station

7 0
3 years ago
Read 2 more answers
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