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3 years ago

How to simplify using the laws of exponents

1 answer:

5 0

Here are the laws of exponents:

$(a^b)^c = a^{bc}$

$(a^b) (a^c) = a^{b+c}$

$\frac{a^b}{a^c} = a^{b-c}$

Hope that helps :)

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Surface area and volume

Wittaler [7]

Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210

6 0

3 years ago

• Chandra bought a 2-liter bottle of

frosja888 [35]

Answer:

Step-by-step explanation:

1 liter = 33.8 fl oz

Hence

2 liter = 33.8 * 2 = 67.6 fl oz

Now, we need to determine, how many 8 fl oz glasses can be filled with 67.6 fl oz of juice. For that, we need to divide total amount of juice (in fl oz) by 8. We will get:

$\frac{67.6}{8}=8.45$

So there is enough juice to fill around 8.5 glasses, but we need to know how many FULL GLASSES can be filled, NOT PARTIAL.

Thus, we can say:

8 glasses max can be filled with 2 Liters of juice

Answer choice D is right

3 0

3 years ago

Can you help me with the first two questions?

melisa1 [442]

$1.\\\$55\ 000-\$1\ 000=\$54\ 000\\\\\$54\ 000:2=\$27\ 000\\\\\\Answer:B$

$2.\\-4(x-11)=16\\\\-4\cdot x-4\cdot(-11)=16\\\\-4x+44=16\ \ \ /:(-4)\\\\-4x:(-4)+44:(-4)=16:(-4)\\\\x-11=-4\\\\Answer:G$

7 0

2 years ago

Read 2 more answers

kendall knows that a 45-ounce pitcher can hold enough lemonade for 6 people. At this rate, how many ounces of lemonade will kend

Angelina_Jolie [31]

THIS IS A PROPORTION QUESTION.

45 x CROSS MULTIPLY.
__ = ____
6 26

45*26=1170
6*x=6x

1170=6x DIVIDE 6 ON BOTH SIDES
_________
195=x

THE OFFICIAL ANSWER IS 195 OUNCES OF LEMONADE WOULD BE NEEDED TO SERVE 26 PEOPLE. HOPE THIS HELPS!!!!!!!!!! :)

5 0

3 years ago

Read 2 more answers

Chicago has a temperature of -15oF. It is colder in Minneapolis than in Chicago. Select all the values that could represent the

amid [387]

Answer:

A and E

Step-by-step explanation:

if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF

6 0

2 years ago