If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?

Answers

Answer 1

Answer:

f( x ) = 4( [tex]2^x[/tex] )

Step-by-step explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) = [tex]2^x[/tex] ... then this new function should be -

f( x ) = 4( [tex]2^x[/tex] )

The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )


Related Questions

The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no

Answers

Answer:

no

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others

For a moving object,When. The force acting on the object varies directly with the object's acceleration. When a force of 64 N acts on a certain object, the acceleration of the object is 8 m/s2. If the acceleration of the object becomes 9 m/s2, what is the force?

Answers

Answer:

72 N

Step-by-step explanation:

From the question.

Force is directly proportional to acceleration, with the mass of the object constant.

F α a

F = ka

F₁/a₁ = F₂/a₂....................... Equation 1

Where F₁ = Initial force, a₁ = initial acceleration. F₂ = final force, a₂ = Final acceleration.

make F₂ the subject of the equation

F₂ = (F₁/a₁)a₂................ Equation 2

Given; F₁ = 64 N, a₁ = 8 m/s², a₂ = 9 m/s²

Substitute these values into equation 2

F₂ = (64/8)(9)

F₂ = 72 N

In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?

Answers

Answer:18

Step-by-step explanation:

There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Since we know that

1 Quarter = 0.25 of Dollar

1 Dime = 0.10 of Dollar

1 Nickel = 0.05 of Dollar

Let's say we make Q number of the quarter, D number or dime, and N number of nickel.

Then equation formed will be

0.25Q + 0.10D + 0.05N = 0.75

From it is clear that the possible outcomes are

Qarteres =1, Dime =1, Nickel =2

Qarteres =1, Dime =2,Nickel = 4

Qarteres =1,Dime =3, Nickel = 6

Qarteres =1,Dime =4, Nickel = 8

Qarteres = 2, Dime =1,Nickel = 1

Qarteres = 2, Dime =2, Nickel = 3

Hence there will be a total of 6 outcomes.

For more about the equation

brainly.com/question/2263981

#SPJ2

What is the length of the line?

Answers

Answer:

[tex]\boxed{\sqrt{37} }[/tex]

Step-by-step explanation:

Use Pythagorean theorem.

Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.

[tex]6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}[/tex]

Answer:

When you use Pythagorean theorem, the answer is √37.

Step-by-step explanation:

WILL GIVE BRAINLIEST Find the value of x, rounded to the nearest degree. 26° 25° 28° 62°

Answers

Answer:

X rounded to the nearest degree can me calculated based on parallel lines or if there is a straight line bisected by a line, 180 degress is a staright line. There is not enough info nor a picture to give a direct answer.

Answer:

its D

Step-by-step explanation:

The Venn diagram shows the results of two events resulting from rolling a number cube.

Answers

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

[tex]A={1,2}[/tex]

[tex]B={1,2,3,4,5,6}[/tex]

[tex]A\cap B={1,2}[/tex]

Since the intersection of A and B is non-empty, therefore by conditional probability

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]

[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]

Therefore, the correct option is B.

can somebody please helpp

Answers

Answer:

The Answer is the first option

Step-by-step explanation:

If you take the 3x-4>5

than: 3x>5+4

3x>9

x>9/3

x>3

Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey. Preference Male Female TOTAL Prefers dogs 36 20 56 Prefers cats 10 26 36 No preference 2 6 8 TOTAL 48 52 100 Of students in the sample, what fraction were male?

Answers

Answer:

12/25

Step-by-step explanation:

There were a total of 48 males, so 48/100 = 12/25.

+---------------+------+--------+-------+

|           | Male | Female | Total |

+---------------+------+--------+-------+

| Prefers Dogs  | 36 | 20 | 56   |

+---------------+------+--------+-------+

| Prefers Cats  | 10   | 26 | 36   |

+---------------+------+--------+-------+

| No Preference | 2 | 6  | 8   |

+---------------+------+--------+-------+

| Total         | 48   | 52     | 100   |

+---------------+------+--------+-------+

A scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answers

Answer:

last option

Step-by-step explanation:

Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

Answer:

option D

Step-by-step explanation:

What is the perimeter of the parallelogram?

Answers

Answer 18

Solve 5+5+4+4=18

help me out??? first pic is the graph second is the answer choices

Answers

Answer: Choice D.   2x^2+2y^2 = 32

=================================================

Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim

Answers

Answer:

[tex]H_{o}[/tex]: Larger proportion of news media = democrats

Ha : Large proportion of news media [tex]\neq[/tex] democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

Which equation represents a proportional relationship that has a constant proportionality equal to 0.7

Y/x=7/10

Y/x=1/7

XY=7/10

XY=1/7

Answers

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation

The shaded rectangle in the diagram consists ofthree squares. (Picture for full question)

Answers

Answer:  243 cm²

Step-by-step explanation:  If the diameter is 18, the radius is 9. Each square is  9×9, so 81 cm² for each.   Multiply:  81×3 = 243

Or take the length times width  to get area  27×9= 243

Which of the following is the reciprocal parent function?
A. F(x) = -X
B. F(x) = x^3
C. F(x)=1/x
D. F(x)= (x)
SUBMIT

Answers

Answer:

  C. F(x)=1/x

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...

  F(x)=1/x . . . . . . matches choice C

Find the value of x
44 and 55in

Answers

Answer:

C

Step-by-step explanation:

Use Pythagorean theorem

X^2 + 44^2 = 55^2

X^2 = 55^2 - 44^2

= 3025 - 1936

X^2 = 1089

X = sqrt (1089)

X = 33

The following sphere has a diameter of 11 inches.

What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in.3
O 696.6 in.)
O 174.1 in."
O 126.6 in.3

Answers

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 11/2 = 5.5 inches

[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]

Where r = 5.5

V = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

V = [tex]\frac{2090.7}{3}[/tex]

V = 696.9 in.³

what is the value of [3.6]

Answers

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Solve the following: (1 point) 7x − 2y = −3 14x + y = 14

Answers

Answer:

Step-by-step explanation:

7x - 2y = -3

14x + y = 14

7x - 2y = -3

28x + 2y = 28

35x = 25

x = 25/35= 5/7

14(5/7) + y = 14

10 + y = 14

y = 4

(5/7, 4)

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =

Answers

Answer:

[tex]x=20[/tex]

[tex]y=10\,\sqrt{3}[/tex]

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]

and also:

[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]

Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67

Answers

Answer:

the range is 10

Step-by-step explanation:

70 is the highest and 60 is the lowest

70-60=10

Please can someone help me ASAP

Answers

a) [tex]\frac{8}{2}[/tex]

b) [tex]\frac{9}{4}[/tex]

c) [tex]\frac{3}{-1}[/tex]

Can somebody please help me with this & show work ?? :)

Answers

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

Water is essential for our life. Here r the few uses of water. Arrange these activities in order from least to most, according to the amount of water used. To water the fields,kneading the dough,taking a bath,to drink, swimming

Answers

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

WILL MARK BRAINLIEST
PLEASE HELP x

Answers

Answer:

3. time = 6.4999  approximately 6.5 years

4. $2235.35

5.  $ 3950

Step-by-step explanation:

4. amount of interest =  final amount - principle= 7535.35 - 5300 = 2235.35

5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950

Please answer this in two minutes

Answers

Answer:

m<B = 63.4°

Step-by-step explanation:

tangent = opposite ÷ adjacent

tan B = [tex]\frac{4}{2}[/tex]

tan B = 2

B = tan⁻¹ (2)

B = 63.4°

Hope this helps.

II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.

Answers

Answer:

C) Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

You need to have both equations in slope-intercept form.

4x - 6y = -6

-6y = -4x - 6

y = 2/3x + 1

The two equations are

y = 2/3x + 1

y = 2/3x - 17

For lines to be parallel, the slopes must be equal.  The y-intercepts don't matter.

Since the lines have the same slopes but different y-intercepts the answer is C.

use the cross product property to solve the proportion

5/r = 9/10​

Answers

Answer:

[tex]5.\overline{55}[/tex] or  [tex]5\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{r} =\frac{9}{10}[/tex]

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

[tex]50 \div 9 = 5.555555...[/tex]

So, r = [tex]5.\overline{55}[/tex]

As a fraction, this is [tex]5\frac{5}{9}[/tex]

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r

Please answer this in two minutes

Answers

Answer:

14.

Step-by-step explanation:

From the question given, we obtained the following information:

When angle θ = 60°

Adjacent = 7

Hypothenus = s

When angle θ = 30°

Opposite = 7

Hypothenus = s

We can use any of the above to determine the value of 's'.

Here, we shall consider when angle θ is 60°.

Cos θ = Adjacent /Hypothenus

Angle θ = 60°

Adjacent = 7

Hypothenus = s

Cos θ = Adjacent /Hypothenus

Cos 60° = 7/s

But Cos 60° = 1/2

1/2 = 7/s

Cross multiply

s = 2 x 7

s = 14

Therefore, the value of 's' is 14

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