Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8

Answers

Answer 1

Answer:

D. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/4(2)ˣ

f(5) is x = 5 for function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(5) = 1/4(2)⁵Exponents:                                                                                                        f(5) = 1/4(32)Multiply:                                                                                                             f(5) = 8

Related Questions

Which equation shows that the Pythagorean identity is true for 0 = 360°?
Select the equation that is in the form sin20 + cos20 = 1.
A. (-1)² +02 = 1
B. 02 + 12 =1
O c. 12 + 02 = 1
D. 02 + (−1)2 = 1

Answers

If the measure of an angle is 360°, then the value of sin²θ + cos²θ = 1 will be  0² + 1² = 1. Then the correct option is B.

What is a Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The equation is given below.

sin²θ + cos²θ = 1

If the angle is 360°. Then the equation will be

sin²360° + cos²360° = 1

                      0² + 1² = 1

Then the correct equation is B.

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Answer:

Step-by-step explanation:

it’s B

The value of which of these expressions is closest to e ?

Answers

B I did this to it’s pretty easy

Answer: B.

Step-by-step explanation: took the quiz.

Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?

Answers

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((

Answers

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

it would be amazing if you marked this brainliest :)

URGENT!!! PLEASE HELP

Answers

Answer: System 1 has an infinite number of solutions and System II has no solutions.

Step-by-step explanation:

If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.

If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.

The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?

Answers

Answer:

89.75

Step-by-step explanation:

Sorry if its wrong!

Can someone help me on this?

Answers

Answer:

<2=107

Step-by-step explanation:

Alternate interior angles are congruent they have equal measure

What is the area of a circle that has the diameter of 4?

Answers

The answer to this question is A≈12.57

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

What combination of transformations is shown below?

Answers

Answer:

B. or the second one

Step-by-step explanation:

Rotation then reflection

I need help with both of these please..

Answers

Answer:

20. bcg

21. 124

Step-by-step explanation:

help fast i’m bad with math help

Answers

Answer:

D. She should find the average of 4.4 and 4.5

Explanation:

(4.4 + 4.5)/2 = 4.45

4.45² ≈  19.80

4.45² is closer to 20 than 4.4² and 4.5²

next she will repeat the same process: (4.45 + 4.5)/2

Using the graphing function on your calculator, what is the solution to the system of equations show below?
y + 2x5
4y+ 5x = 14
A. x=2, y=1
B. More than 1 solution
C. x= 1, y = 2
D. No solution

Answers

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

4.2+7/20=420/100+BLANK/100

Answers

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

___ - 35 = -103
answer fast pls

Answers

Answer:

-103 + (-35) = -138

138 - 35 = -103

138= answer

Step-by-step explanation:

yw <3

a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?

Answers

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

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Find the angle measures in the regular polygon.

A) 720*

B) 140*

C) 135*

D) 360*

Please help!!

Answers

the angle measures in the regular polygon is B)140

Write an equation of the form y = mx for the line shown below.

Answers

Answer:

y = -3x

Step-by-step explanation:

To get slope intercept, you divide both y values by both x values like this

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case this will be [tex]\frac{(-3 - 6)}{(1 - (-2))}[/tex]

This will become [tex]\frac{-9}{3}[/tex]

Divide those two to get -3, and now you get your slope intercept.

The distance from one point on the circle to another that passes through the circle is called a:

Answers

Answer: i think diameter, because the line passes through the center of the circle.

Step-by-step explanation: have a great day!! :)

9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.

Answers

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

PLEASE HELP ME PLEASE

Answers

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

What specific measure of a geometric figure is shown in the image?
O A 165 degree angle
O A 15 degree angle
O a 15 mm side length
a 180 mm side length

Answers

Answer:

15

Step-by-step explanation:

i) It takes the climber 800 seconds to climb to the top of the cliff.
During this time the energy transferred to the climber equals the work done by
the climber.
Calculate the power of the climber during the climb.
Power =
W
(Total 5 mar
Page 6 of 6​

Answers

Answer:

gracias por lo 20 puntos

Step-by-step explanation:

b) If it costs £4 to buy 5 pens, how much will it cost to buy 8?

Answers

Answer:

10 because you need to find how much one pen would cost. So you decide 5 and 4. the result would be 1.25 then you multiple the result by 8. you get 10

A local elementary school claims that 59% of its students bring their own lunch on a daily
basis. The principal surveyed 100 students and found that only 48% bring their own lunch.
What does the test statistic calculation look like in this situation for an appropriate
hypothesis test? (4 points)

Answers

Answer:

[tex]z=\frac{0.48-0.59}{\sqrt{\frac{0.59(0.41)}{100}}}[/tex]

Step-by-step explanation:

The z score in terms of the null hypothesis and surveyed statistic is in the form [tex]z=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}[/tex], (similar to [tex]z=\frac{x-\mu}{\sigma}[/tex]) where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and [tex]\hat{p}[/tex] is the statistic (in this case, 0.48). Finally, [tex]n[/tex] is the sample size, 100. Substitute in your values, and you get the above answer.

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

A local elementary school claims that 59% of its students bring their own lunch on a daily basis.

What is the z score in terms of the null hypothesis and surveyed statistic is in the form?

The z score in terms of the null hypothesis and surveyed statistic is in the form,

[tex]\frac{P-P_0}{\sqrt{P_0(1-P_0)/n} }[/tex]

where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and P is the statistic (in this case, 0.48)

Finally,  is n the sample size, 100.

Substitute in your values, and you get the above answer,

[tex]Z=\frac{0.40-0.59}{\sqrt{\frac{0.59(0.41}{100} } }\\ \\=-3.8630[/tex]

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

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Who is the founder of macdonald

Answers

Answer:

Richard Mcdonald and Maurice Mcdonald

Step-by-step explanation

those are the people that found Mcdonalds

Does a triangle with these side lengths exist?
28, 41, 13

Answers

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

the graph of liner function f passes through the point (1,-9) ad has a slope of -3 what is the zero of f

Answers

Answer:

answer is 4 im pretty sure

Step-by-step explanation:

did da math

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The difference of the range and the interquartile range of the data set represented by the box plot is
.

Answers

Answer:

the answer is 10

Step-by-step explanation:

The difference between the range and the IQR of the data set represented by the box plot is 10.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.

In this case, the range is:

Range = highest value - lowest value = 34 - 16 = 18

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:

IQR = Q3 - Q1 = 29 - 21 = 8

So the difference between the range and the IQR is:

Range - IQR = 18 - 8 = 10

Therefore,

The difference between the range and the IQR of the data set represented by the box plot is 10.

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What quadrant does Cos A < 0, Tan A < 0

Answers

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants


WILL MAKE BRAINLIEST!!

find the slope of each line

Answers

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

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