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Mandarinka [93]
3 years ago
11

Evaluate the expression 4^x/2^x for x=3

Mathematics
1 answer:
o-na [289]3 years ago
4 0

Since x = 3, you can substitute/plug in 3 for "x" in the expression:

\frac{4^x}{2^x}    Plug in 3 into "x", as x = 3

\frac{4^3}{2^3}

\frac{4*4*4}{2*2*2}= \frac{64}{8}    Simplify the fraction

8

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Evaluate (y - 10) - 8x<br> when x = 4 and y = 16
hjlf

Answer:

-26 :)

Step-by-step explanation:

Fill in y and x with the subs

do parentheses which is 6

6-8(4) - do 8 times 4 which is 32

then 6-32 which is -26

7 0
3 years ago
Read 2 more answers
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o
emmainna [20.7K]

Answer:

The 95% confidence interval   81.852  <  \mu <  280.098

Step-by-step explanation:

From the question we are told that

   The  sample mean is  \= x  =  180.975

   The standard deviation is  \sigma  =  143.042

   The sample size is n = 8

Given that the confidence level is  95%  then the level of significance is  

    \alpha =( 100- 95) \%

=>  \alpha =0.05    

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>  E = 1.96 *  \frac{ 143.042 }{\sqrt{8} }

=>  E = 99.123

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>    180.975 -99.123 <  p <  180.975 +99.123

=>    81.852  <  \mu <  280.098

   

5 0
3 years ago
The relationship between gallons and liters and a currency exchange rate between United States dollars and Canadian dollars are
ludmilkaskok [199]

The cost of the gasoline in US dollars is  $53.24.

<h3 /><h3>Definition of exchange rate</h3>

Exchange rate is the rate at which one currency is exchanged for another currency. In this question, $1 would be exchanged for 1.26 Canadian dollars.

<h3>Conversion of 15 gallons to liters</h3>

In order to convert 15 gallons to liters, multiply 15 by 3.79

15 x 3.79 = 56.85 liters

<h3>Total cost of of 56.85 liters in Canadian dollars </h3>

56.85 liters x C$1.18 = C$67.083

<h3>Total cost in US dollars</h3>

C$67.083 / 1.26 = $53.24

To learn more about exchange rate, please check: brainly.com/question/25780725

4 0
3 years ago
The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevat
Ymorist [56]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Equipment elevator Descent = 4 fts per Second

Miners elevator descent = 17 ft/sec

Miner's elevator begins descent 25 seconds after equipment elevator :

Elevation after another 12 seconds :

Descent = (speed * time)

Equipment elevator = 4 * (25 + 12) = 148 ft descent

Miner's elevator = 17 * 12 = 204 ft descent

The Miner's elevator is deeper at 204 feets.

8 0
4 years ago
The length of a rectangular tabletop is 18 inches more than the width. The perimeter is 244. What is the width of the tabletop?
Colt1911 [192]

Answer:

52 in.

Step-by-step explanation:

Let the width = x.

The length is x + 18.

perimeter = 2(L + W)

244 = 2(x + x + 18)

122 = 2x + 18

2x = 104

x = 52

The width is 52 in.

5 0
3 years ago
Read 2 more answers
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