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Korolek [52]
2 years ago
13

What exponential expression is equal to 2^-5 . 2^8

Mathematics
1 answer:
sineoko [7]2 years ago
8 0

~~2^{-5} \cdot 2^8\\\\=2^{-5+8}~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=2^3

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A yard is 3 times as long as it is wide. 176 feet of fencing is needed to enclose the yard. Find the dimensions of the yard
svet-max [94.6K]
The perimeter of a rectangle is twice the sum of its side lengths.

P=2(L+W), we are told that L=3W and P=176 so

2(3W+W)=176

2(4W)=176

8W=176

W=22 ft, since L=3W

L=66 ft

So the yard is 22 feet wide and 66 feet long.


5 0
3 years ago
Read 2 more answers
Someone please solve all equations
Tamiku [17]

17. (a) The formula with CP subject is CP=\frac{SP}{1.1}

(b) The Cost Price of item without GST is $59.50

(c) The GST of item is $5.95

Step-by-step explanation:

Given formula is;

SP = 1.1 * CP

SP = Selling price

CP = Cost price

(a) Rearrange the formula to make CP the subject;

SP = 1.1 * CP

Dividing both sides by 1.1

\frac{SP}{1.1}=\frac{1.1*CP}{1.1}\\\\\frac{SP}{1.1}=CP\\\\CP=\frac{SP}{1.1}

The formula with CP subject is CP=\frac{SP}{1.1}

(b) Use your formula from (a) to find the Cost Price of an item without GST if the selling price is $65.45

SP = $65.45

CP=\frac{65.45}{1.1}\\\\CP=\$59.50

The Cost Price of item without GST is $59.50

(c) Calculate the amount of GST on an item whose selling price is $65.45.

GST = 10% of CP

GST = \frac{10}{100}*CP

GST = 0.1CP

From part (b)

CP = $59.50

GST = 0.1 * 59.50

GST = $5.95

The GST of item is $5.95

Keywords: percentage, multiplication

Learn more about multiplication at:

  • brainly.com/question/10764770
  • brainly.com/question/1087090

#LearnwithBrainly

3 0
3 years ago
(x^3+6x^2-8x-43)/(x+2) dividing polynomials
Bess [88]
X^2 + 4x - 16 - 11/(x + 2)
4 0
3 years ago
Let g(x) = 3x + 2. If g(x) = 11, what is x?
astraxan [27]

Answer:

3=x

Step-by-step explanation:

11=3x+2

5 0
2 years ago
Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your
balu736 [363]

Answer:

Always

Step-by-step explanation:

An acute angle is an angle that is less than 90. Supplementary angles add up to 180.

So 180-89= 91

An obtuse angle is any angle that is greater than 90.

Here's a link to a better explanation.

brainly.com/question/14180317

7 0
3 years ago
Read 2 more answers
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