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Goryan [66]
4 years ago
10

Mario simplified the expression (4z^8)^-3 as shown (4z^8)^-3 = 4z^-24= 4/z24

Mathematics
2 answers:
Alex17521 [72]4 years ago
6 0

Multiply each term by term.  

= (4z)(z) - (4z)(2) + (3)(z) + (3)(-2)  

= 4z² - 8z + 3z - 6  

Combine like terms.  

= 4z² - 5z - 6

STALIN [3.7K]4 years ago
4 0

Answer:

Given the expression:  (4z^8)^{-3}

Use exponent rules;

(ab)^m = a^m \cdot b^m

(a^m)^n = a^{mn}

Apply the rules in the given expression we get;

(4z^8)^{-3}

⇒4^{-3} \cdot (z^8)^{-3}

⇒\frac{1}{4^3} \cdot z^{-24}

⇒\frac{1}{64}z^{-24}

Therefore, the correct  Mario simplified form of the given expression is \frac{1}{64}z^{-24}




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Denise bought a book that cost $9.95, a set of bookmarks that cost $1.95, and a magazine that cost $4.95. What was the cost of t
Andrej [43]

Answer:16.05 $

Step-by-step explanation: Put all the numbers in a vertical format and add them all up

                  9.95

                 +1.15

                 +4.95

                  --------

                   16.05

5 0
4 years ago
Please help me with this question
kramer

Answer:

1. 1 1/2 feet

2. 0.46

3a. 0.62 I'm not sure if this one's correct, it's worded weird

3b. -3.43

3c. 0.14

3d. -0.481

4 0
3 years ago
A club is making posters to raise money. The printer charges a base fee of $270 and $2 per poster for supplies. A person sells e
sesenic [268]

<u>Answer:</u>

He must sell 190 posters make a profit of $300.

<u>Explanation: </u>

Given:

Base fee= $270  

Fee for supplies= $2

Cost of poster=$5

To find:

The number of posters to be sold to get a profit of $300=?

Solution:

Let the number of posters sold be n.

Now, we know that,

profit = selling price – cost price

$ 300 = $ 5 for each poster – ( $ 270 base fee + $ 2 for each poster)

300 = 5 x n – (270 + 2 x n)  

300 = 5n – 270 – 2n  

5n – 2n = 300 + 270  

3n = 570  

n=\frac{570}{3}

n = 190

6 0
3 years ago
Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is corr
Paraphin [41]

~Hello There!~

\frac{m}{s} =\frac{2}{5}

Rearrange for s

s = \frac{5m}{2}

After 8 years, the new equation would be:

\frac{m+8}{s+8} =\frac{1}{2}

Cross multiply

2m+16 = s+8

Subtract 8

2m+8=s

Substitute old equation

2m+8 = \frac{5m}{2}

Solve to get m as 16.

s = 40.

Their current ages are 16 and 40 and the different is 24 years. Therefore, Caitlin is correct.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

3 0
4 years ago
Make v the subject of the formula in H=m(v²-u²)/2gx​
goldfiish [28.3K]

Answer:

v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}

Step-by-step explanation:

The given formula is :

H=\dfrac{m(v^2-u^2)}{2gx}

We need to find the formula for v.

Cross multiplying the given formula.

H\times 2gx=m(v^2-u^2)

Dividing both sides by m. So,

\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}

Adding both sides by u².

(v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}

Hence, this is the required formula.

4 0
3 years ago
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