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allsm [11]
2 years ago
11

Evaluate the given question

Mathematics
1 answer:
Natali5045456 [20]2 years ago
5 0

The value of the given expression is 1/16

<h3>Exponential functions</h3>

Given the exponential function below as shown;

(1/2)^4

This means the product of 1/2 in 4 places. This can be expressed as;

(1/2)^4 = 1/2 * 1/2 * 1/2 *1/2

(1/2)^4 = 1/4 * 1/4

(1/2)^4 =1/16

Hence the value of the given expression is 1/16

Learn more on exponent here: brainly.com/question/725335

#SPJ1

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The cube root of the difference of a number and 2
julia-pushkina [17]

Answer:

The difference of two cubes is equal to the difference of their cube roots times a trinomial, which contains the squares of the cube roots and the opposite of the product of the cube roots. A number's opposite is that same number with a different sign in front.

Step-by-step explanation:

8 0
3 years ago
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
FrozenT [24]
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

7 0
3 years ago
Read 2 more answers
(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=
Luda [366]

Answer:

The 99% confidence interval is  71.67 < \mu < 78.33

Step-by-step explanation:

From the question we are told that

     The sample  size  is  n  =  15

      The  sample  mean is  \= x  =  75

        The  standard deviation is  s =  5

 Given that confidence is  99%  then the level of significance is mathematically represented as

              \alpha  =  100 -  99

             \alpha  =  1\%

             \alpha  =  0.01

Next we obtain the critical values of  \frac{ \alpha }{2} from the normal distribution table

   The  value is

                  Z_{\frac{ \alpha }{2} } = 2.58

Generally the margin for error is mathematically represented as

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

=>         E =  2.58  *  \frac{ 5}{ \sqrt{15} }

=>         E =  3.3307

   The  99% confidence interval is mathematically represented as

             \= x  -E  <  \mu  <  \= x  +E

=>          75 -  3.3307 <  \mu

=>          71.67 < \mu < 78.33

3 0
3 years ago
It takes a ant farm 3 days to comsume 1/2 of an apple.At that rate,in how many days will the ant farm consume 3 apples?
alexgriva [62]

Answer:

18

Step-by-step explanation:

In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.

6(3)=18 days

5 0
3 years ago
What is the third measure of a triangle who’s angles are 37 and 61
Makovka662 [10]

Answer:

37+61+x=180

98+x=180

x=180-98

x=82°

the third angle is 82°

7 0
3 years ago
Read 2 more answers
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