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Jet001 [13]
2 years ago
9

erica makes a banner using 4 sheets of paper. Each paper measures 9 inches by 19 inches. What is the total area of Erica's banne

r?
Mathematics
1 answer:
pickupchik [31]2 years ago
8 0
To find the area of the paper. You must multiply the width and the height, which is 9 and 19. 9 x 19 is 171 And multiply that by 4 171 x 4 = 684 Total area is 684
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The reciprocal parent function is translated 5 units right and 3 units up. Write an equation to represent the new function.
ladessa [460]

Answer:

The new function is y=\frac{1}{x-5}+3 , where x ≠ 5

Step-by-step explanation:

The reciprocal parent function is f(x)=\frac{1}{x} , where x ≠ 0

The translation of f(x) to the right h units is f(x - h)

The translation of f(x) up k units is f(x) + k

The translation of f(x) to the right h units and up k units is f(x - h) + k

∵ The equation of the reciprocal parent function is  y=\frac{1}{x}

∵ The function is translated 5 units right

∴ h = 5

- That means 5 is subtracted from x ⇒ (x - 5)

∵ The function is  translated 3 units up

∴ k = 3

- That means y added by 3

∴ y=\frac{1}{x-5}+3

The new function is  y=\frac{1}{x-5}+3 , where x ≠ 5

3 0
3 years ago
A company that makes​ hair-care products had 5,000 people try a new shampoo. Of the 5,000 ​people, 10 had a mild allergic reacti
Margarita [4]

Answer:

0.002%

Step-by-step explanation:

10/5,000 = 0.002

Hope this helps!

4 0
2 years ago
Read 2 more answers
The set of ordered pairs represents a functuon. Write a rule represents the function. (0,0),(1,6),(2,24),(3,54),(4,96)
Lubov Fominskaja [6]
It’s super self explanatory it’s right there
3 0
3 years ago
Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?
expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with \alpha.

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of  \alpha by using arctangent:

\alpha= arctan(\frac{opposite}{adjacent})

In this case you can identify that:

opposite=260\\adjacent=270

Therefore, substuting values into  \alpha= arctan(\frac{opposite}{adjacent}), you get that the angle of depression is:

 \alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°

4 0
3 years ago
Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0
Nastasia [14]

For this case we have, by definition:


a^{-b} =\frac{1}{a ^ b}

So, we have:


\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}

On the other hand we have that by definition:


a^{\frac{1}{2}}=\sqrt{a}

Thus, the expression can be written as:


\frac{1}{\sqrt {\frac{1}{4}}} =

\frac{1}{\frac{1}{\sqrt{4}}}

\frac{1}{\frac{1}{2}}

\frac{1*2}{1*1}=2

So, we have:


\frac{1}{4}^{-\frac{1}{2}}= 2

Answer:


\frac{1}{4}^{-\frac{1}{2}}= 2


4 0
3 years ago
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