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3 years ago

What is the value of this expression when a=3 and b=-2?

Mathematics

2 answers:

navik [9.2K]3 years ago

4 0

You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1

The value of the expression is 1.

erica [24]3 years ago

3 0

Answer:

The test answer is 1.

Step-by-step explanation:

My answer was incorrect and the test said 1 was the correct answer, i apologize.

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Giving brainliest!!!! Plzz put the correct answers.

sleet_krkn [62]

Answer:

See below

Step-by-step explanation:

<em>aⁿ = a×a×a×....×a (power n of the number a = number a multiplied by itself n times)</em>

2^(10)= 2x...x2 how many times = 10 times 2

15^(57)= 15x...x15 how many times = 57 times 15

(-4)x...x(-4) 7 times = (-4)^(7)

(1.5)x...x(1.5) 12 times = (1.5)^(12)

4 0

3 years ago

A sofa depreciates at 20% of its original value each year. If the sofa was $349 at its time of purchase, what is the value of th

klemol [59]

Answer:

$142.95

Step-by-step explanation:

Given Original value of the sofa = $349

Rate of depreciation each year = 20%

Number of years = 4

To find the value of the sofa after 4 years use depreciation formula:

If the constant decrease in population be R% per annum. Then the population after n years is $P \times\left(1-\frac{R}{100}\right)^{n}$

$349 \times\left(1-\frac{20}{100}\right)^{4}=349 \times\left(\frac{100-20}{100}\right)^{4}$

$=349 \times\left(\frac{80}{100}\right)^{4}$

$=349 \times\left(\frac{4}{5}\right)^{4}$

= 142.9504

= 142.95 (Nearest cent)

Hence, the value of sofa after 4 years is $142.95.

7 0

3 years ago

If the angles of a triangle are 10 45 and 23 what is the perimerter of the triangle

djverab [1.8K]

Answer:

No Solutions

Step-by-step explanation:

In a triangle, the sum of the angles has to be 180 degrees. It also is impossible to find the length of sides without at least one side, since the range of lengths is practically infinite. There are no solutions to this problem.

3 0

3 years ago

If arctan(3/5)=K Tan(k)=?

hichkok12 [17]

$arctan(x)=y$

this function is the inverse function of tan...

$arctan(x)=tan^{-1}(x)$

then...

$x=tan(y)$

in this case

$arctan(\frac{3}{5})=K$

$\frac{3}{5}=tan(K)$

$\boxed{\boxed{tan(K)=\frac{3}{5}}}$

3 0

3 years ago

Read 2 more answers

Which of the following statements is not true about the numbers 7 and -7? They are opposite numbers. They form a zero pair. They

Irina-Kira [14]

We need to find which statement is not true:

Let us check each statement:

-They are opposite numbers.

Opposite numbers have the same distance away from zero. Hence, 7 and -7 are opposite numbers.

-They form a zero pair:

7-7 =0, the statement is true.

- They have the same absolute value

The absolute value is the not negative value no matter the sign.

Hence, l7l= 7 and l-7l= 7.

-They have a sum of -14.

Then:

7+(-7) = 0

Therefore, the last statement "They have a sum of -14" is not true.

7 0

1 year ago