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lord [1]
3 years ago
15

Which expression is equal to the equation in the picture?

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

The answer is A, -4z^3+4z^2+6z+35


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If 32^2c= 8^c+7, what is the value of c
Leona [35]

\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3

3 0
3 years ago
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An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please
Anettt [7]

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

8 0
3 years ago
For the following right triangle, find the side length x.​
never [62]

Answer:

x = 10

Explanation:

Using Pythagoras Theorem:

  • a² + b² = c²

Solve:

8² + 6² = x²

x² = 64 + 36

x² = 100

x = √100

x = 10

8 0
2 years ago
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Which polygon has the most sides? pentagon nonagon hexagon octagon
spin [16.1K]

Answer:

nonagon - 9

Step-by-step explanation:

  • pentagon - 5
  • nonagon - 9
  • hexagon - 6
  • octagon - 8
6 0
3 years ago
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Samantha is making soup. to make the broth, she combines 2/5 cup of vegetable stock and 2/3 cup of chicken soup stock. Boiling
storchak [24]
First,you do,2/5+2/3,but since you will need a common denominator,you will find the least common denominator for 5 and 3.The LCD(Least Common Denominator) will be 15 since both 5 and 3 could go in 15.Now,the equation looks like this: 2/15+2/15 since whatever you do to the bottom numbers,you NEED to do to the top numbers:2 and 2.Now you will need to do,2x3,since 5x3=15 and the answer to 2x3=6 then you do 2x5,since 3x5=15 the answer is 10 now the equation looks like this:6/15+10/15 now you add them together,and the answer will be 16/15 and if you want the answer to be a mixed number,it would look like this: 1 1/15. Hope this helps!
6 0
3 years ago
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