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3 years ago

HELP PLZZ Which figure shows a reflection of pre-image DEFG over the x-axis?

Mathematics

1 answer:

scoray [572]3 years ago

5 0

The first one is a reflection over the x-axis :)

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol

koban [17]

Answer:

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

Step-by-step explanation:

$\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228$

$=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}$

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

4 0

3 years ago

Lins father is paying $20 for a meal. He has 15%-off coupon for the meal. After the discount, 7% sales tax is applied, How much

tankabanditka [31]

Answer: $18.19

Step-by-step explanation:

The tax is applied after the discount so first find the discounted price:

= Price * ( 1 - discount rate)

= 20 * ( 1 - 15%)

= $17

The sales tax of 7% can then be applied:

= Price * ( 1 + tax rate)

= 17 * ( 1 + 7%)

= $18.19

3 0

3 years ago

If two cards are randomly drawn from a standard 52-card deck, what is the probability that both cards are hearts?

Anettt [7]

Answer:

Step-by-step explanation:

You have to divide the two numbers, which are 2 and 52

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4 years ago

A home improvement store rents vacuums at $45 for the first day and $22 for each day thereafter. If y represents the total cost

Gwar [14]

Answer with explanation:

Amount charged by Home Improvement Store for first day=$ 45

Amount charged per day after first day = $ 22

y= Total cost

x=Number of days Rented

Writing the above statement in terms of function

→y=1×$45 +(x-1)×$22

→→Total amount charged(y)=45+22x-22

→→→y=22x+23

is, the required function.

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3 years ago

Read 2 more answers

I will give extra points please help

kotegsom [21]

Answer:

z is less than 3/4

Step-by-step explanation:

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3 years ago