Use the drop-down menus to complete each statement about the functions f and g.

Note: Exponential functions are of the form f(x) = abx.

The function f is (linear, exponential, neither)
.

Consecutive (differences, quotients)
are (constant, nonconstant )
.
The function g is (options are same for the rest)
.

Consecutive
are
.

Use The Drop-down Menus To Complete Each Statement About The Functions F And G.Note: Exponential Functions

Answers

Answer 1

The function f(x) is the linear and the function g(x) is the exponential. Then the equations are f(x) = 6x and g(x) = 3(2)ˣ.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The functions f(x) and g(x).

The table is shown below.

Let the function f(x) be the linear function and the function g(x) be the exponential. Then we have

Then the function f(x) will be

f(x) = mx + c

Then we have

12 = 2m + c

6 = m + c

Then we have

m = 6 and c = 0

Then the equation will be

f(x) = 6x

Then the function g(x) will be

g(x) = abˣ

Then we have

48 = ab⁴

24 = ab³

We have

a = 3 and b = 2

Then the function g(x) will be

g(x) = 3(2)ˣ

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Related Questions

Stephanie is helping a midwife weigh new-born babies. The scales are in pounds but the sheet she has to complete is in kilogrammes. The baby weighs 8.06 lbs. When she converts this on a calculator the display reads 3.65595152. What is this in kilogrammes to 3 decimal places?

Answers

The weight of baby in kg is, 3.659 kg.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The baby weighs 8.06 lbs.

Now, We know that;

⇒ 1 pound = 0.454 kg

Hence, The weight of baby in kg is,

⇒ 8.06 pounds = 8.06 × 0.454 kg

                        = 3.659 kg

Thus, The weight of baby in kg is, 3.659 kg.

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use the information provided to write the equation of each circle. center: (3, -15) radius: 3

Answers

Equation of circle in general

(x-h)²+(y-k)²=r²

For centre at (h,k)

So our equation is

(x-3)²+(y+15)²=3²(x-3)²+(y+15)²=9

If f(x) = x2 + 7, what is the equation for f'(x)?

A f'(x) - IVX+7
B f'(x) - +X-7
C f''(x) = 5x +7
D f'(x)= 7/8-7

Answers

Answer:

2x

Step-by-step explanation:

[tex]\bullet\ (x^2)^{\prime}=2x\\\\\bullet\ (7)^{\prime}=0[/tex]

[tex]\Longrightarrow f^{\prime }\left( x\right) =\left( x^{2}+7\right)^{\prime } =(x^2)^{\prime}+(7)^{\prime}=2x[/tex]

T
yler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. Which type of inference test should Tyler use?

Answers

The appropriate test is the chi-squared test for association/independence.

What is an inference test?

A statistical inference involves hypothesis testing about a population using a sample.

In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.

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Answer:

chi-squared test

Step-by-step explanation:

Got it right on the test.

PLEASE HURRY
no links please

Stef rolls two six-sided number cubes. What is the probability that she rolls a 1 on
the first cube and a number greater than 1 on the second cube?
Use the diagram of
the sample space to help you.

A. 3/36 = 1/2

B. 5/36

C. 6/36 = 1/6

D. 1/36

please get this right because i might failll :(

Answers

Answer:

The answer is 5/36.

Step-by-step explanation:

Test approved.

The probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube is 5/36.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Given that Stef rolls two six-sided number cubes.

Based on the diagram of the sample space.

Therefore, the probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube

=  5/36.

Hencce, the correct option is B.

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i need help with this question

Answers

Answer:

Simulation --> An imitation

Sample --> The part of a population

Biased sample --> A sample that is not

Population --> A group

Mitch walks 30 meters in 20 seconds. How many meters does Mitch walk per second?

Answers

Distance =30m, Time= 20s
Speed= distance/time
So speed= 30/20 = 1.5 m/s

Answer:

1.5 meters per second

Step-by-step explanation:

30 ÷ 20 = 1.5


Please help! I need the right answer : (

A cone with the height h radius r has volume v=1/3 m2h. if the cone has a height of 6 in. And volume of v=8♊︎(pie)x+24m♊︎(pie), what is the radius r in terms of x? A. r=3x+2. B. r=4x^2+12x+9. C. r=2x+3 D. r= (2x+3) (2x-3)

Answers

Answer:9514 1404 393

Answer:

 h = 3V/(πr²)

Step-by-step explanation:

The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.

 

_____

Additional comment

Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.

 V = ah   ⇒   V/a = (ah)/a = h(a/a) = h·1 = h

Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.

Step-by-step explanation:

3 years ago, the residents of Planet X found a black hole leading to another galaxy. Since then, they have been leaving Planet X at a rate of 120 residents per year.
The following equation describes this situation:
\quad -120\cdot 3 = -360−120⋅3=−360minus, 120, dot, 3, equals, minus, 360
What does -360−360minus, 360 tell us?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A total of 360360360 residents left Planet XXX in the past three years.

(Choice B)
B
360360360 residents left Planet XXX each year.

(Choice C)
C
None of the above

Answers

Answer:

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.

Answers

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.

Answer correctly for branliest!

Answers

Slope is rise/ run, or change in y/ change in x. the error was that the person out run/rise, so the correct answer is 4/6.

Select ALL the expressions that have a value of 2² – 3³ + 29.
1. (78 ÷ 3) – 24
2. 83 – 14 × 62 – 2
3. –|–6|
4. |–6|
5. 72 – 3.1 – 19 × 2.1

Answers

There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.

Simplification of the given expression

To simplify the expression 2² – 3³ + 29. is as follows:

2² – 3³ + 29 = 4- 9+29

= 29 -5

= 24

(78 ÷ 3) – 24. To simplify is = 78/3=26-24 = 2 (false)

83 – 14 × 62 – 2. To simplify is = 69- 60 = 9 (false)

–|–6|. To simplify is -(-6) = +6( false)

-6( false)

72 – 3.1 – 19 × 2.1: To simplify is = 49.9×2.1 = 104.79 (false)

Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.

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Samuel worked 1/4 of a day on Tuesday and 3/8 of a day on Wednesday. Which
of these represents the fraction of a day he spent working on both days?

Answers

Rewrite 1/4 to have 8 as the denominator: 1/4 = 2/8

Now add the two days together:

2/8 + 3/8 = 5/8

Answer: 5/8

47/6m+n- 7/2m-6/5n
Simplify

Answers

Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Assume that 48% of the voters in New York favor a certain legislative proposal. De- termine how many voters in New York need to be sampled so that the magnitude of the difference between the observed relative frequency of those favoring the proposal and the population frequency does not exceed 0.01 with probability 0.99.

Answers

The number of the voters in the Newyork need to be sampled will be P=19,782.

What is Probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given in the question that:-

Voters percentage=48%

Margin of error=0.01

Z value at 0.99 = 2.58

By using the formula:-

[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]

By putting the values:-

[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]

[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]

[tex]n=19784[/tex]

Hence the number of the voters in the Newyork need to be sampled will be P=19,782.

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John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?​

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hour

To find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hours

this question can be easily solved by using unitary method ~

[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]

hope helpful ~

2. What is the measure of angle A?

Answers

Answer:

the answer is 63 degrees

Step-by-step explanation:

answer for branliest!

Answers

Answer: 19.62 * 10^7 cm

Step-by-step explanation:

Let a and b be rectangle sides.Area = a * bPerimeter = a + b + a + b = (a + b) * 2

a = 9.2 * 10^7 cm

Area = 5.612 * 10^14 cm^2

Find: Perimeter - ?

Area = a * bb = Area / a

b = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm

Perimeter = (a + b)*2

Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm

PLEASE I NEED HELP ASAP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered

Answers

Question 1: Option BQuestion 2: [tex]k[/tex] ≤ [tex]1[/tex]

Answer:

B, B

Step-by-step explanation:

< less than

> Greater Than

If it has a line under it it is equal too as well as greater or less.

The close dot means equal too and the open mean not equal to

The circumference of a circular garden is 122.46 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer. feet

Answers

The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.

What is the Circumference of a Circle?

Circumference = 2πr, where r is the radius of the circle.

Given the following:

Circumference = 122.46 feetRadius (r) = ?π = 3.14

122.46 = 2(3.14)(r)

122.46/2(3.14) = r

r = 19.5 feet.

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Help. Please and thanks.

Answers

Answer:

D

Step-by-step explanation:

the other 3 options are all true.

the sum of all angles in a triangle is always 180°.

so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.

and of course the 2 sides are equal (hence "isoceles").

A shirt on sale for 25%off. Sandy paid 7.50 for the shirt. What was the shirts regular price

Answers

£10

Step-by-step explanation:

firstly what you have to do is

since the percentage is decreased

we will say 100 - 25% = 75%

then we say 7.50/75% = 10

So we know that the original price was

£10 pounds

As 10- 25%= 7.5

The shirt's regular price is 10.

Given,

A shirt on sale for 25%off.

Sandy paid 7.50 for the shirt.

We need to find the regular price.

The regular price is the same as the selling price.

We have,

Regular price = Paid price  + offer discount%

offer discount = 25%

Paid price = 7.50

If after 25% off Sandy paid 7.50 which means Sandy paid only 75% of the price.

The regular price is always 100%

= Paid price  + offer discount%

= 75% + 25%

So we have,

75% = 7.5

Multiplying 25/75 on both sides.

25/75 x 75% = 7.5 x 25/75

25% = 2.5

We see that the offer discount is 2.5.

We have,

Regular price = Paid price  + offer discount%

                       = 7.50 + 2.5

                       = 10

Thus the shirt's regular price is 10.

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5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry

Answers

TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.

Vertical line of symmetry

Analysis

Volume=Base area×height

If the rectangle rotated around horizontal line of symmetry

V1=Ah=πr²h

=π×9×10

=90π

If the rectangle rotated around short line

V2=Ah=πr²h

=π×10²×6

=π×100×6

=600π

If the rectangle rotated around vertical line of symmetry

V3=Ah=πr²h

=π×5²×6

=π×25×6

=150π

Therefore the correct option is C.

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The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?

Answers

Answer:

35%

Step-by-step explanation:

Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:

21/60 = 0.35

0.35 x 100 = 35%

Hope this helps!!

Answer:

35%.

Step-by-step explanation:

Fraction that  are cats =  21 / (21+39)

= 21/60

= 100 * 21/60

= 35%.

13 - 6(2 − 6)² +8 evaluate

Answers

Step-by-step explanation:

______________________

13 - 6 ( 2 - 6 )² + 8

= Solution

= 13 - 6 (- 4 ) ² + 8

Now...remove the negative number...because negative number raise to even powers are positive...

= 13 - 6 × 4² + 8

= 13 - 96 + 8

= 13 + 8 - 96

= 21 - 96

= - 75

Hence the answer is - 75....

[tex]..[/tex]

______________________

5) Mary is taking a swimming lesson on a rectangular pool which is 9 meters wide and 12 meters long. Find the area of the swimming pool.


a. What is asked?

b. What are given?

c. What is/are the operation/s to be used?

d. What is the number sentence?

e. What is the answer?​

Answers

Answers:

a) The Area of the swimming pool.
b) 9 meters wide, 12 meters long.
c) 9, 12 & multiplication.
d) 9 • 12
e) 108

A price of a tablet is cut by 30% and the new cost is $210. How much did the tablet cost before the price was cut

Answers

Answer:

     $273

Reason:                                                                                                        

I believe this is right

Write an equation in slope-intercept form for the relationship in the table.

Answers

The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.

What is the Slope-intercept Form?

The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:

m = slope = change in y / change in xb = y-intercept.

Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5

Slope (m) = 1

Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):

y - 42 = 1(x - 37)

y - 42 = x - 37

y = x - 37 + 42

y = x + 5

Equation for the relationship in the table is: y = x + 5

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Consider the line y=-2/3x+9 . Find the equation of the line that is parallel to this line and passes through the point (-8,3) . Find the equation of the line that is perpendicular to this line and passes through the point (-8,3) .

Answers

The equation of line which is parallel to line is y = (-2x-7)/3.

What is Gradient?

Gradient is the ratio between change in y-axis to change in x-axis.

Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]

gradient of line m₁ = -2/3

Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is

(y - y₁) = m₂(x - x₁)

( y - 3) = -2/3(x+8)

3y - 9 = -2x -16

3y = -2x -16 + 9

3y = -2x -7

y = (-2x-7)/3

Thus, the equation of line which is parallel to line is y = (-2x-7)/3

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Write a​ slope-intercept equation for a line that passes through (-2,3) and (2,-5)

The slope of the given line is m
​(Simplify your answer. Type an integer or a simplified​ fraction.)

Answers

Answer:

y - 3 = -2 * (x+2)

Step-by-step explanation:

4 divided by 5yards 1 foot

Answers

4 divided by 5yards and 1 foot is. 1 yard and 1 foot
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