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4 years ago

The question is above please help

Mathematics

1 answer:

serious [3.7K]4 years ago

6 0

Answer:

i believe it's C i may be wrong

Step-by-step explanation:

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What is the seventh term of (x + 4)8?

Arisa [49]

The (p+1)-th term of the Newton binomial expansion

$(a+b)^{n}$

is given by

$t_{p+1}=\dbinom{n}{p}\,a^{n-p}\,b^{p}$
__________________________

We want the 7th term. Hence, we set $p+1$ to be $7:$

$p+1=7~~\Rightarrow~~p=6$

Then, the 7th term is

$t_{7}=\dbinom{8}{6}\,x^{8-6}\,4^{6}\\\\\\ t_{7}=\dfrac{8!}{6!\cdot (8-6)!}\cdot x^{8-6}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7\cdot \diagup\!\!\!\! 6!}{\diagup\!\!\!\! 6!\cdot 2!}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=\dfrac{8\cdot 7}{2\cdot 1}\cdot x^{2}\cdot 4^{6}\\\\\\ t_{7}=28\cdot x^{2}\cdot 4,096\\\\ \boxed{\begin{array}{c} t_{7}=114,688\,x^{2} \end{array}}$

Correct answer: $\text{A. }114,688\,x^{2}.$

8 0

4 years ago

What is the slope of the line that passes through (-2,-2) and (3,-1)?

JulsSmile [24]

Answer:

+1/5

Step-by-step explanation:

3 0

3 years ago

Andre can run 5 miles in 40 minutes. At that rate of speed, how long would it take him to run 10 kilometers? Use the conversion

matrenka [14]

Answer:

50 minutes = B

Step-by-step explanation:

Andre can run 5 miles in 40 minutes

for 1 miles = 40/5 = 8 minutes

for 10 kilometres

1 mile = 1.61 kilometres

x = 10 kilometres

x= (10x1)/1.61= 10/1.61 = 6.21miles

for 1 miles = 40/5 = 8 minutes
6.21 miles = 8 x 6.21 = 49.689 minutes ≈ 50 minutes = B

7 0

3 years ago

PLEASE HELP ME FAST I NEED HELP PLEASE

ziro4ka [17]

Answer:

2 - Ratio B

3 - Ratio B

4 - Ratio B

5 - Ratio A

7 0

3 years ago

Read 2 more answers

Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option would be the best for him at

Brut [27]

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

6 0

4 years ago