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3 years ago

POTW 1

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer:

Step-by-step explanation:

I went on calculator .__.

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Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

Which of the following is the inverse of the function {(1,2),(3,4),(6,8)}

GREYUIT [131]

C.<span>{(2,1),(4,3),(8,6)}</span>

6 0

3 years ago

Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?

oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

$\text{Magnitude of debt in dollars}=|-\$18.50|$

Since absolute value of a negative number is opposite of the number.

$\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50$

Therefore, option C is the correct choice.

5 0

3 years ago

Read 2 more answers

Fill in the table for the exponential function given f(x)=3(2)^n

mina [271]

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

So we have 2^-1. This is the same as $3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2}$ = a

Now do $3(2^0) = 3$ = b

Then do $3(2^1) = 6$ = c

Finally do $3(2^2) = 12$ = d

6 0

3 years ago

LC Motor Sales conducted a survey to find out why people who bought cars at the dealership did not use it for ongoing service. T

Alenkasestr [34]

Answer: D

Step-by-step explanation:

42+23+102+124+17+26 = 334 total responses

LC Motors charged too much = 102

102/334 = .305..

Move the decimal 2 places to the right = 30.5

Rounds to 31%

8 0

3 years ago