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V125BC [204]
3 years ago
11

Please help with these

Mathematics
1 answer:
kherson [118]3 years ago
4 0

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10

c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

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Emily is making a meal for her family. She uses coconut milk for the dessert she is making.
Artyom0805 [142]

Answer:

576 cm^3

Step-by-step explanation:

Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation.  Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π:  V = 3*(4)^2*12 cm^3, or V = 576 cm^3.


3 0
3 years ago
What's the answer ?<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B255%20-%2030%7D%20" id="TexFormula1" title=" \sqrt{255
Aloiza [94]

Answer:

\sqrt 255-30

= -14.0312805773

7 0
3 years ago
Read 2 more answers
If $-2 &lt; x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
Check the image needed more words :p
Olin [163]
I got 16.8 , but she’ll need roughly 17 gallons of paint :)

how i did it :

1. so you know she’ll need 4/5 per book case, and there are 16 bookcases.
2. So you do 16 x 5, then you get 84
3. and you divide 84 by 5. and you’ll get 16.8, that’s how many gallons of paint she needs
6 0
3 years ago
Read 2 more answers
Solve the system using elimination
Mamont248 [21]

13x - y = 3 .....(1)

x - 6y = -33 ......(2)

eqn (2) × 13

13x - 78y = -429 .....(3)

(3) - (1)

13x - 78y = -429

13x - y = 3

(-). (+). (-)

_________________

- 77y = 431

_________________

-77y = 431

y = 431 ÷ -77

y = -5.5

5 0
2 years ago
Read 2 more answers
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