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2 years ago

Determine if the following equation is true or false. (a^9)^1/ a^4 = a^8 x a^1/ a^4

Mathematics

1 answer:

Tom [10]2 years ago

8 0

Answer:

True

Step-by-step explanation:

$\frac{a^9}{a^4} = a^8 . \frac{a^1}{a^4}$

$a^8 . a^1 = a^9$

$\frac{a^9}{a^4} = \frac{a^9}{a^4}$

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Compute the requested value.

vitfil [10]

1 + .1 = 1.1 (Making the multiplier)
1.1 * 38.75 = 42.625

The price is $42.625

3 0

3 years ago

What property justifies that 6x+9/3 =2x + 3? (see the pic of how the fraction is)

spayn [35]

Answer:

C. Distributive property

Step-by-step explanation:

Distributive property says that

$a\cdot (b+c)=a\cdot b+a\cdot c$

Consider left part of the expression

$\dfrac{6x+9}{3}=\dfrac{1}{3}\cdot (6x+9)$

By distibutive property,

$\dfrac{1}{3}\cdot (6x+9)\\ \\=\dfrac{1}{3}\cdot 6x+\dfrac{1}{3}\cdot 9\\ \\=2x+3$

3 0

3 years ago

Orlando wants to borrow $3,000 for the purchase of a used car. he has to pay back the loan after 4 years. the two loan options a

gtnhenbr [62]

The amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

<h3>What is compound and simple interest?</h3>

Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

Here we have the principle is $3000 for 4 years at the rate of interest of 5.2%. Now we will calculate the total amount by simple interest and compounded annually.

By using Simple interest:-

$\rm SI=\dfrac{P\times T\times R}{100}=\dfrac{3000\times 4\times 5.2}{100}=624$

So the total amount will be =3000+624=$3624

By using the Compound interest formula:

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

$A=3000(1+\dfrac{5.2}{1})^{4}$

$A=\$3674$

The difference between the two amounts will be =3764-3624=$50

Hence amount in simple interest is $3624 and in compound interest is $3674 the difference is of $50. So he should choose Simple interest.

To know more about Compound interest Follow

brainly.com/question/24924853

#SPJ1

7 0

1 year ago

Can I get some help please?

Travka [436]

Answer and Step-by-step explanation:

A) The first three terms are:

5, 8, 11

B) The tenth term is 32

You find the answer by plugging in the value for n. So for A), you would plug in 1, 2, and 3 (the first 3 terms), then to find the tenth term, you plug in 10 for n.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0

2 years ago

What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?

vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.