find the average rate of change of f(x) = 3x - 7 over the interval 1 ≤ x ≤ 5

Answers

Answer 1

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

Step-by-step explanation:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.


Related Questions

A chord divides a circle into ______ segments. one three four two

Answers

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Determine the volume of cone. Use 3.14 for pi.

Answers

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

a
Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 5 percentage points and use a confidence level of 90%
Complete parts (a) and (b) below.
b. Assume that 23% of adults can wiggle their ears.
n
(Round up to the nearest integer.)
.

Answers

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

What is a volume of a cube with the width of 7 inches?

Answers

Answer:

343

Step-by-step explanation:

I hope this helps ! Have a good day! <3 :)


I need help I don’t understand it what to do

Answers

x=17.1

by the pythagorean theorem,

a^2+b^2=c^2
6^2+16^2= c^2 (or x^2)
36+256=x^2
292=x^2
x=17.08 or 17.1

The student council held a dance to raise money. The expression below represents the amount of profit the council made based on n, the number of students who bought tickets to the dance.

3n - 150

What is the amount of profit the student council made if 60 students bought tickets to the dance?

Question 8 options:

$30


$60


$180


$210

Answers

Answer:

To answer your question m8 it would be $30

Step-by-step explanation:

60 students times 3 is 180 and subtract that by 150, you get 30.

in x^3, x is called the __

Answers

Answer:

Either the variable or unknown number, it depends on what options you have.

12a+7c=315
how to solve for/what is a?

Answers

Answer:
Well I mean There  are multiple solutions I think, a = 26.25

Step-by-step explanation:

Simplifying

12a + 7c = 315

Solving

12a + 7c = 315

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7c' to each side of the equation.

12a + 7c + -7c = 315 + -7c

Combine like terms: 7c + -7c = 0

12a + 0 = 315 + -7c

12a = 315 + -7c

Divide each side by '12'.

a = 26.25 + -0.5833333333c

Simplifying

a = 26.25 + -0.5833333333c

[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]

HELP ME PLEASE!!

Find the length of segment SV.

A)
13/2
B)
26
C)
5.2
13
D)
V2

Answers

Answer:

check photo for detailed analysis

If one cylinder is r=3 ft and the volume is 756 feet cubed, how do I find the volume of a larger cylinder with a radius of 7feet?

Answers

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

the volume of the smaller cylinder is [tex]V_{0} = 756\; {\rm ft^{3}}[/tex].the radius of the smaller cylinder is [tex]r_{0} = 3\; {\rm ft}[/tex].the radius of the larger cylinder is [tex]r_{1} = 7\; {\rm ft}[/tex].

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

he table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x. x 0 1 2 3 4 g(x) -11 -10 -8 -4 4 Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.

Answers

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

Factor 6y^2(y^2+6y+9) completely.

Answers

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

Silas is a making a wildflower meadow with the dimensions shown. He plans to cover the entire meadow with a wildflower seed mix. One bag of wildflower seed mix covers 22 square yards and costs $12.79. How much will Silas spend on the wildflower seed mix? what is the cost?

Answers

Answer:51.16

I hope this works for you.

6.4 divided by 27.04 spectrum math

Answers

Answer:

40/169

Step-by-step explanation:

-1/5 (-2 1/4) = what is it?

Answers

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

K=100-4n
What is value of n when k =99

Answers

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

Which ordered pair is in the solution set y-5>-3x

(4,-2)
(1,2)
(-1,-3)
(-2,4)

Answers

The ordered pair that satisfies the given inequality is ( 4,-2)

Step-by-step explanation:

By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.

Please Mark this answer as brainliest, thank you :-)

you estimate that a kitten weights 15 pounds.

Answers

Answer:

Congrates

Step-by-step explanation:

What would happen if you put a digit in the wrong place value of a specific number

Answers

Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

What does the sign of your answer (whether it is positive or negative) say about the area of the triangle at that moment?

Answers

Answer:

For ur information...

Area can never be negative

It will always be positive

Sophia made a table and a graph for the equation Y equals 4X Did Sophia make these items correctly? Select the true statement

Answers

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position
a(t) = -40, (O) = 18, S(O) = 0

Answers

The position function for the given object is:

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

How to get the position function?

Here we know that:

a(t) = -40 m/s^2

v(0) = 18 m/s

s(0) = 0m

So, we know the acceleration, the initial velocity, and the initial position.

To get the velocity equation we need to integrate the acceleration equation, we will get:

v(t) = (-40 m/s^2)*t + C

Where C is the constant of integration, which we know that is the initial velocity, then:

v(t) =  (-40 m/s^2)*t + 18m/s

Now, to get the position equation, we need to integrate again:

s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

If you want to learn more about motion equations, you can read:

https://brainly.com/question/19365526

15. The weight of an object on Earth is directly proportional to the weight of that same
object on the moon. A 200 pound astronaut would weigh 32 pound on the moon.
How much would a 50 pound dog weigh on the moon?

Answers

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

Make stem and leaf plot

Answers

Answer:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself

Unit Test Unit Test Active 12 13 15 16 18 20 ► To find the quotient of 4 ÷ 1/5 × 4

Answers

Answer:

9/2

Step-by-step explanation:

Divide: 3/

5

: 2/

3

= 3/

5

· 3/

2

= 3 · 3/

5 · 2

= 9/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

3

is 3/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three fifths divided by two thirds = nine tenths.

Mr Davis buys 5 packages of package. Mr Wilson buys eight packs of packets of the b glue sticks use the equation to find the different and total of number of glue sticks that each person purchased​

Answers

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

If sin^2 x - 2 sin x = 1, then sin x =​

Answers

Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

Help me please I’ll give brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

Solve the equation    70 - 4x = 30 +4x    70 - 30 = 4x + 4x        40    =      8x             x  = 5

    2. Substitute the equation

Classroom A = 70 STUDENTSClassroom B = 30 STUDENTS.70 - 20  =  30 + 20   50   =   5020 students from classroom A in groups of 4 = 20 divide by 4.

                        = 5 groups.

If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.


How do you do this on Delta Math?It is for 7th grade math.

Answers

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

[tex]\frac{21}{0.35} =60[/tex]

Case 2

[tex]\frac{54}{0.9} =60[/tex]

Now the 55% of this number is:

[tex]60(0.55)=33[/tex]

Hope this helps

Compute the NPV for Project M if the appropriate cost of capital is 7 percent

Answers

Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

What is the NPV of Project M?

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

Find out more on Net Present Value at https://brainly.com/question/22785007.

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