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olga nikolaevna [1]
3 years ago
15

Simplify (2a^3) (5a^4)

Mathematics
2 answers:
Contact [7]3 years ago
8 0
(2a^3)(5a^4)
With this, you multiply the coefficients first, (2)(5)=10
Then when you multiply the variables, you add the exponents, (a^3)(a^4)=(a^(^3^+^4^))=a^7

So you would end up with: 10a^7
Leviafan [203]3 years ago
3 0

Answer: 10a^{7}

Step-by-step explanation: Think of this problem of having two parts. The coefficients 2 and 5 and the powers a^{4} and a^{7}. To multiply these two terms together, simply multiply their coefficients and we have to add the exponents because we are multiplying powers.

2 × 5 = 10

a^{3} × a^{7} = a^{10}

Therefore, our answer is 10a^{7}.

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What is y=3x and y=2x+2 solution ??
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Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

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Rajan bought 5 copies of a book to give as
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Answer:

Step-by-step explanation:

the original price was the one she started at

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Which of the following is an equivalent form of the compound inequality
blondinia [14]

Answer:

pls mark brainy

Step-by-step explanation:

option (d) is correct.

An equivalent form of the  given compound inequality −44 > −2x − 8 ≥ −8 is  −44 > −2x − 8 and −2x − 8 ≥ −8

Step-by-step explanation:

Given a compound inequality −44 > −2x − 8 ≥ −8

We have to write  an equivalent form of compound inequality.

Compound inequality  consists of two inequalities joined together and the solution is the intersection of each inequality.

Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.

For given compound inequality, −44 > −2x − 8 ≥ −8

we have

Left side of inequality as  −44 > −2x − 8

and right side of inequality as  −2x − 8 ≥ −8

Thus, option (d) is correct.

Thus, An equivalent form of the  given compound inequality −44 > −2x − 8 ≥ −8 is  −44 > −2x − 8 and −2x − 8 ≥ −8

3 0
3 years ago
a car can travel 476 miles in 14 gallons of gas write an equation relating the distance to the number of gallons how many gallon
shutvik [7]
476/14 is 34
You are very welcome
5 0
3 years ago
On the 1st January 2014 Carol invested some money in a bank account.
Ghella [55]

Answer:

\large \boxed{\text{\pounds 23 360.00}}

Step-by-step explanation:

The formula for the accrued amount from compound interest is

A = P \left(1 + \dfrac{r}{n}\right)^{nt}

1. Amount in account on 1 Jan 2015

(a) Data:

a = £23 517.60

r = 2.5 %

n = 1

t = 1 yr

(b) Calculations:  

r = 0.025

\begin{array}{rcl}23517.60 & = & P\left (1 + \dfrac{r}{n}\right)^{nt}\\\\& = & P\left (1 + \dfrac{0.025}{1}\right)^{1\times1}\\\\& = & P (1 + 0.025)\\ & = & 1.025 P\\P & = & \dfrac{23517.60 }{1.025} \\\\& = & 22 944.00 \\\end{array}

The amount that gathered interest was £22 944.00 but, before the interest started accruing, Carol had withdrawn £1000 from the account.

She must have had £23 944 in her account on 1 Jan 2015.

(2) Amount originally invested

(a) Data

A = £23 944.00

\begin{array}{rcl}23 944.00 & = & 1.025 P\\P & = & \dfrac{23 944.00 }{1.025} \\\\& = & \mathbf{23 360.00} \\\end{array}\\\text{Carol originally invested $\large \boxed{\textbf{\pounds23 360.00}}$ in her account.}

3. Summary

1 Jan 2014      P = £23 360.00

1 Jan 2015     A =    23 944.00

     Withdrawal = <u>    -1  000.00 </u>

                     P =     22 944.00

1 Jan 2016    A =    £23 517.60

5 0
3 years ago
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