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valkas [14]
3 years ago
9

Which expression is equivalent to (4 + 7¡)(3 + 4¡)?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

37i-16

Step-by-step explanation:

(4+7i)(3+4i)

12+21i+16i+28i^2

12+37i+28(-1)

37i+12-28

37i-16

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Find the 14th term of the arithmetic sequence - 4x - 1, - 9x - 6 , -14x-11
Yanka [14]

Answer:

-69x-66

Step-by-step explanation:

1) given: a₁=-4x-1; a₂=-9x-6; a₃=-14x-11. Find: a₁₄-?

2) a₁₄=a₁+13d, where d - the difference between neighbor-terms;

3) d=a₂-a₁; ⇔ d= -9x-6+4x+1= -5x-5;

4) a₁₄= -4x-1+13*(-5x-5)= -69x-66.

3 0
3 years ago
A square rug has an area 99 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
STALIN [3.7K]

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

This means the side length of our square rug is √99.

A rational number is one that can be written as a fraction of two integers. If you put √99 into your calculator, you get 9.949874371....

This is not a rational number because it goes on forever in no particular order, so we cannot write it as a fraction of two integers. The closest number we could use to have a rational square root would be 100, as its square root is 10.

Have a wonderful day! :D

7 0
3 years ago
When Hiroto is writing, there is 0.920.920, point, 92 probability that there will be no spelling mistakes on a page. One day, Hi
Usimov [2.4K]

Complete question :

When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.

Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?

Answer:

0.60

Step-by-step explanation:

The question meets the requirement for a binomial probability distribution :

Recall:

P(x = x) = nCx * p^x * q^(n-x)

Given :

Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08

Hence,

p = 0.08 ; q = 0.92

n = 11

P(x ≥ 1) = 1 - p(x = 0)

P(x = 0) = 11C0 * 0.08^0 * 0.92^11

P(x = 0) = 1 * 1 * 0.3996373778857415671808

P(x = 0) = 0.399

P(x ≥ 1) = 1 - p(x = 0)

P(x ≥ 1) = 1 - 0.399

P(x ≥ 1) = 0.601

P(x ≥ 1) = 0.60

3 0
3 years ago
Which of these transaction types<br><br> DECREASE how much you owe the credit card<br><br> company?
lord [1]

Options:

a. Balance Transfers

b. Cash Advances

c. Payments

d. Interest Charges

Answer:

c. Payments

Step-by-step explanation:

Of all the given options, only (c) Payments decreases amount owed.

(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.

As analysed , each of the above transactions increases debts.

However, (c) Payments implies a credit transaction and as such, reduces the amount owed.

6 0
3 years ago
Read 2 more answers
How to solve this equation?
pochemuha

Answer:

Take it slowly

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
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