Let f(x)=1/2(4)^x−1 Evaluate

Answers

Answer 1

Answer:

[tex]f(x)=\frac{4^{x} }{2}-1[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{1}{2}(4)^{x} -1[/tex]

Combine [tex]\frac{1}{2}[/tex] and [tex]4^{x}[/tex]

[tex]f(x)=\frac{4^{x} }{2}-1[/tex]

Let F(x)=1/2(4)^x1 Evaluate

Related Questions

if a number contains decimal places then it is an irrational number​

Answers

Answer:

sometimes true

Step-by-step explanation:

28 points. I need help ASAP please

Answers

Answer:

1) Thousands

2) 5

3) ten million

4) 3,000,000

Step-by-step explanation:

Answer:

1.  hundred thousands

2. 5

3. ten millions

4.  3,000,000

Step-by-step explanation:

Help!NOW please!! I’ll do anything!

Answers

Answer:

16 1/2

Step-by-step explanation:

find the absolute value of both and add them, there's you answer

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

-16 1/2 units away

A car dealership finds that a certain model of new car has something wrong with its transmission 15% of the time. How likely is it that a particular model of that car has something wrong with its transmission? Select the correct answer below: Very likely, the probability is close to 1. Somewhat likely, the probability is closer to 1 than to 0. Unlikely, the probability is close to 0. Somewhat unlikely, the probability is closer to 0 than it is to 1. Equally likely, the probability is 0.5.

Answers

Answer:

Unlikely, the probability is close to 0

Step-by-step explanation:

Given

[tex]Transmission = 15\%[/tex]

Required

Determine the likelihood

The given probability, 0.15 is close to 0. This implies that the event is unlikely.

From the list of given options, option C answers the question

Administrators at Riverview High School surveyed a random sample of 100 of their seniors to see how

seniors at the school felt about the lunch offering at the school's cafeteria.

Identify the population and sample in this setting.

Choose 1 answer:

А

The population is all high school seniors in the world; the sample is all of the seniors at

Riverview High.

B

The population is all students at Riverview High; the sample is all of the seniors at Riverview

High.

The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.

Answers

Answer:

C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.

Step-by-step explanation:

The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.

In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.

The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.

What is a Population?

A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.

What is a Sample?

A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

To learn more about population, please check: https://brainly.com/question/12982972

Help me plzzzzz
It’s late cuz I’m dum
8th grade math...

Answers

The answer is B

Hope this helps! i just learned this today lol

Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of point A.

Answers

Answer:

The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Step-by-step explanation:

Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.

We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:

[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)

Where:

[tex]A(x,y)[/tex] - Original vector, dimensionless.

[tex]U(x,y)[/tex] - Translation vector, dimensionless.

[tex]A(x',y')[/tex] - Translated vector, dimensionless.

If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:

[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)

If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:

[tex]A(x',y') = (4,7)+(5,-3)[/tex]

[tex]A(x',y') = (9, 4)[/tex]

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Winter coats are marked 70% off on February 1st. if a coat costs $57.75 on January 31st, how much will it cost on February 1st.

Answers

Answer:

57.75-(57.75*0.7)=17,325

Or 100-70=30

So 57.75*0.3=17.325

Answer:

$40.425

Step-by-step explanation:

hope it helps good luck

4y-27=3y then y is equal to ?

Answers

Answer:

y=4/3y -9

Step-by-step explanation:

just divide both sides of the equation by 3

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Answers

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

Cedrick is writing a report. It takes him 4 min to type 5/8 page of the report. At this rate, how many minutes does it take cedrick to type 1 full page of the report?

Answers

Answer:

It will take 6.4 minutes for Cedrick to type 1 full page of the report.

Step-by-step explanation:

1. First, we want to find out how long it takes Cedrick to type 1/8 of a page. If it takes him 4 minutes to write 5/8 of a page, we can do 5/8 divided by 5, which equals 1/8. We also have to divide 4 by 5 which equals 4/5. So, it takes Cedrick 4/5 of a minute to write 1/8 of a page.

2. We now want to find out how long it takes him to write one page, so we should multiply 1/8 and 4/5 by 8. 1/8 times 8 equals one, and 4/5 times 8 equals 32/5. That means that it takes 32/5 (in decimal form it is 6.4) minutes to write one page of the report.

Cedrick will type one whole page of the report in 6.4 minutes.

What is an expression?

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Cedrick is writing a report. It takes him 4 min to type 5/8 pages of the report.

In the beginning, we need to ascertain how long it takes Cedrick to type 1/8 of a page. We can do 5/8 divided by 5 to get 1/8 if it takes him 4 minutes to write 5/8 of a page.

Additionally, we must divide 4 by 5, which is 4/5. Cedrick, therefore, needs 4/5 of a minute to complete 1/8 of a page.

We need to multiply 1/8 and 4/5 by 8 to get how long it takes him to write one page. 8 divided by 1/8 = 1, while 8 multiplied by 4/5 equals 32/5.

This suggests that writing one page of the report requires 32/5 (6.4 in decimal form) minutes.

To know more about an expression follow

https://brainly.com/question/14145813

#SPJ2

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

How can you express (15+30) as a multiple of us some of her numbers with no common factor?

Answers

can you reword that please

the simple interest on $15000 for three months at 10% per annum is​

Answers

9514 1404 393

Answer:

  $375

Step-by-step explanation:

The interest formula for simple interest is ...

  I = Prt . . . . on amount P, at annual rate r for t years.

Here, t = 3/12 = 1/4, r = 0.10, P = $15,000, so the interest is ...

  I = $15,000·0.10·0.25 = $375

The simple interest is $375.

HELP I WILL MARK BRANLIEST PLEASE HELP ASAP​

Answers

Answer:

120

Step-by-step explanation:

if you need the decimal it’s -44.91 i tried doing my best i hoped this helped

The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%

Answers

Answer:

1/5

Step-by-step explanation:

We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.

We know that, percent means we need to divide the value by 100 i.e.

[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]

So, the required fraction is 1/5.

an airplane is change in alitude before landing is shown in the table

Answers

Answer:

wheres the table can you please provide one

Step-by-step explanation:

AnswerA= -4,000m

Step-by-step explanation:

1    35,000

2   31,000

3   27,000

4   23,000

Youre subtracting 4,000 everytime.

help! 50 points and brainliest if u answer all of em

Answers

Answer:

The first one is C the second and third are correct.

Step-by-step explanation:

Find the unknown angle measure.

Answers

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22

890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .

a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass . ​

Answers

Density ρ is equal to mass m per unit volume v, or

ρ = m / v

Solve for volume:

v = m / ρ

(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of

v = (890 g) / (8.9 g/cm³) = 100 cm³

100 g of zinc, with density 7.1 g/cm³, has a volume of

v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³

(b) The density of brass is then

ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³

The population of Philadelphia, Pennsylvania, is about 1.5 × 106 people. The population of Moscow, Russia, is about 8 times greater than the population of Philadelphia. Drag the buttons to the correct places to show how to use a calculator to find the population of Moscow.

Answers

Answer:

8 x (1.5EE6)

Step-by-step explanation:

2,940 ÷ 48 pls help
i need to get the answer

Answers

Answer:

61.25

Step-by-step explanation:

48 goes into 2940 that many times.

Hope this helped :)

Answer:

61.25

Step-by-step explanation:

2,940 / 48 = 61.25

Hope this helps.

Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3

Answers

Answer:

x = 2 ± √ 3

Step-by-step explanation:

You work for a swimming pool cleaning service. The pool you are cleaning holds 15,000 gallons of water. The cleaning solution you have to add to the pool calls for a ratio of 1:6,000 (1oz to 6,000 gallons of water). What is the ratio of solution you must use for this specific pool?

Answers

Answer:

The answer would be 2.5 oz. of solution

Step-by-step explanation:

If you need 1:6,000 ratio and the pool you are cleaning is 15,000 then you divide 15,000 by 6,000 and you get what your ratio should be

Which is the correct comparison symbol to make the number sentence true ( )? 6.53 _____ 6.534

Answers

Answer:

<

Step-by-step explanation:

6.53 < 6.534

Problem 9.4 Given the system of equations -3x2 + 7x3 = 4 x1 + 2x2 - x3 = 0 5x1 -2 x2 = 3 (a) Compute the determinant. (b) Use Cramer’s rule to solve for the x’s. (c) Use Gauss elimination with partial pivoting to solve for the x’s. As part of the computation, calculate the determinant in order to verify the value computed in (a) (d) Substitute your results back into the original equations to check your solution.

Answers

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

(a) I suppose this is asking for the determinant of the coefficient matrix.

[tex]\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}[/tex]

Using a cofactor expansion along the first row, this reduces to

[tex]0\begin{vmatrix}2&-1\\-2&0\end{vmatrix}-(-3)\begin{vmatrix}1&-1\\5&0\end{vmatrix}+7\begin{vmatrix}1&2\\5&-2\end{vmatrix}= 3(0 - (-5))+7(-2-10)=\boxed{-69}[/tex]

(b) Using Cramer's rule, we have

[tex]x_1=\dfrac{\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_2=\dfrac{\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_3=\dfrac{\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

That is, solving for n-th variable consists of dividing [the determinant of the coefficient matrix with its n-th column replaced with the right side of the system, the numbers in boldface,] by [the determinant of the coefficient matrix].

Compute each determinant:

[tex]\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}=3\begin{vmatrix}2&-1\\-2&0\end{vmatrix}+3\begin{vmatrix}-3&7\\2&-1\end{vmatrix}=3(0-2)+3(3-14)=-39[/tex]

(expanding along the first column)

[tex]\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}=-1\begin{vmatrix}3&7\\3&0\end{vmatrix}+5\begin{vmatrix}3&7\\0&-1\end{vmatrix}=-1(0-21)+5(-3-0)=6[/tex]

(again, along the first column)

[tex]\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}=-1\begin{vmatrix}-3&3\\-2&3\end{vmatrix}+5\begin{vmatrix}-3&3\\2&0\end{vmatrix}=-1(-9-(-6))+5(0-6)=-27[/tex]

(first column)

So, we get the solution

[tex]x_1=\dfrac{-39}{-69}=\boxed{\dfrac{13}{23}},x_2=\dfrac6{-69}=\boxed{-\dfrac2{23}},x_3=\dfrac{-27}{-69}=\boxed{\dfrac9{23}}[/tex]

(c) Using elimination:

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

Swap the first two equations:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

5 x₁ - 2 x₂ = 3

Add -5(equation 1) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 12 x₂ + 5 x₃ = 3

Add -4(equation 2) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 23 x₃ = -9

Multiply through equation 3 by -1/23:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

x₃ = 9/23

Add -7(equation 3) to equation 2:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ = 6/23

x₃ = 9/23

Multiply through equation 2 by -1/3:

x₁ + 2 x₂ - x₃ = 0

x₂ = -2/23

x₃ = 9/23

Add -2(equation 2) and equation 3 to equation 1:

x₁ = 13/23

x₂ = -2/23

x₃ = 9/23

PLZ HELP!!!!!
how can 28/8 be a decimal?

Answers

Answer:

What is 28/8 as a decimal you ask? Converting the fraction 28/8 into a decimal is very easy.

To get 28/8 converted to decimal, you simply divide 28 by 8. Don't worry. You don't need to get the calculator out, because we did this for you.

28/8 as a decimal is:

3.5

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, please bro..

Answers

Answer:

Ooooook?

Step-by-step explanation:

Fine

Somebody tell me whats the answer and how do i find the oder pair thing

Answers

Answer:

( 2,0)

Step-by-step explanation:

The line crosses the Y intercept at the coordinates at (2,0)

Answer:

the y-intercept of the graph is 2

the ordered pair is (0,2)

Step-by-step explanation:

The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y)  (the x is always in the front)

So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.

PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answers

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000

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