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3 years ago

Someone answer 1-8 please! (Please do help!) QUESTION: Find each quotient.

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Sorry, but I generally respond to only 1 or 2 problems when someone gives me a long list of homework. It would take you just a little longer to post one problem at a time.
75 5 -375
Let's look at #5: 75 / (-1/5) is the same as -------- = 75 * ------ = --------- -1 -1 1
---
5

and this is equivalent to -375 (answer to #5)

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If 7x+3=24 what is the value of 5-4x?

sleet_krkn [62]

If 7x+3=24, that means x would be 3 so if you take 5-4x then that would be -7.

5 0

3 years ago

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

What is the answe ?????

patriot [66]

1)-9,-6,-3,7,11
2)8
3)1

3 0

2 years ago

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If n represents an odd interge, write expressions in terms of n that represents the next three consecutive odd integers. If the

Wewaii [24]

next three are n+2, n+4, and n+6

four consecutive odd have sum 56

n + n+2 + n+4 + n+6 = 56

4n + 12 = 56

4n = 44

n = 11

the numbers are 11, 13, 15, and 17

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2 years ago

Edin has £300 in his savings account.his bank offers him 5% simple intrest rate ped annum for a period of 3 years.how much intre

Marianna [84]

Answer:

$45

Step-by-step explanation:

We are given the following information;

Money invested (Principal) is $300
Rate of interest is 5% per annum
Time the money is invested is 3 years

We need to determine the amount of interest the money will earn after three years.

Simple interest is calculated by the formula;
Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

= $45

Thus, the money invested earned a simple interest of $45

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3 years ago