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ad-work [718]
3 years ago
12

Elsie, who loves to garden, has the garden plot above. The width of her current garden is 12 the length. Elsie wants to increase

both the width and length of her garden to twice the size. What is the area of the original garden? What is the area of the new garden? How do the areas compare?

Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

14*7=98    (Original area)

28*14=392      (New area)

The area of the new one is 4 times the original, since the width and length wee doubled.

28 is the doubled amount of 14. 14 is the doubled amount of 7.

Please but brainliest if you can.

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Can anyone help me!​
zhenek [66]

Answer:

\large \text{$ \sf 2^{-64}$}

Step-by-step explanation:

Given:

\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}

This reads as:  256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}

\large \text{$ \sf \implies -2^{3}$}

Therefore:

\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}

Replace "-4 to the power of 3/2" with -8 :

\large \text{$ \sf \implies 256^{-8}$}

Rewrite 256 as 2⁸ :

\large \text{$ \sf \implies (2^8)^{-8}$}

\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:

\large \text{$ \sf \implies 2^{(8 \times -8)}$}

\large \text{$ \sf \implies 2^{-64}$}

In one complete calculation:

\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf  (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf  2^{-64}\end{aligned}

Learn more about exponent rules here:

brainly.com/question/28211147

brainly.com/question/27959936

4 0
2 years ago
Read 2 more answers
The table shows values of f(x) What is f(2)? f(x) = 4, 2, 3, 9, 1 x= 0, 1, 2, 3, 4
Artyom0805 [142]
I’m confused ???can you post the table that they provide you with?
3 0
3 years ago
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
Read 2 more answers
To make 100g of jam you need 23g of strawberries, 51g of blackberries and the rest should be
Gelneren [198K]
More explain please?????
8 0
3 years ago
Please help me solve x-6=-4x-11
labwork [276]

Answer:

<h2>-1  2/3</h2>

Step-by-step explanation:

x-6=-4x-11

+x     +x

-6=-3x-11

+11     +11

5=-3x

________

-3  -3

x=-1.66 or about -1  2/3

<em>PLEASE MARK BRAINLIEST</em>

8 0
3 years ago
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