The table of values represents an exponential function ​f(x). What is the average rate of change over the interval −2≤x≤2? Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
−3 64
−2 16
−1 4
0 1
1 1/4
2 1/16
3 1/64
(Worth 60pts)

Answers

Answer 1

Answer:

-1456

-864

4

-11

-5,25

-1,93

Step-by-step explanation:

Answer 2

Answer:

-3.98

Step-by-step explanation:

Rate of change is:

[f(2) - f(-2)]/[2 - (-2)] = (1/16 - 16)/4 = -255/16*1/4 = -255/64 = -3.98

Related Questions

In ΔMNO, m = 41 cm, o = 98 cm and ∠O=22°. Find all possible values of ∠M, to the nearest degree.

Answers

Answer:

Step-by-step explanation:

m / sin L M = o / sin L O

41/sin L M = 98/sin 22°

=> sin L M = 41×sin 22°/98

= 41×0,3746 / 98

= 0,1567

so, L M = sin~¹ 0,1567 = 9°

(2x – 1) (2x + 1) (4x2 + 1)(16x4 + 1) + 1

Answers

Answer:

Escribí esto, así que espero que quede claro.

Step-by-step explanation:

Maybe 256x square 8

Work out the size of angle X

Answers

Answer:

x = 105

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines are parallel

x = 105

Answer:

105°

Step-by-step explanation:

The angles are corresponding therefore they are equal

A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?

Answers

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term​

Answers

Answer:

tn=t¹+d(n-1)

Step-by-step explanation:

d=common difference

t¹=1st term

n= the nth term

Answer:

Step-by-step explanation:

Sequence, so easiest way is difference between any 2 consecutive numbers

Neg 3 to 2, difference is 5

2 to 7, difference is 5

7 to 12 , difference is 5

So sequence result for n

= starting point + (n-1)(5)

Eg 2nd, N= 2

Starting point is neg 3

Sequence = -3 + 2-1 (5) = -3 + 5 = 2

9th, n = 9

-3 + 8(5)

-3 + 40

37

PLZ HELP ASAP FOR AP3X

Answers

I don’t know it’s hard

Answer:

A -  y = cos(x-1)

Step-by-step explanation:

This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.

Please give me brainliest if my answer was right. :)

What is the volume of the triangular prism?

Answers

Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

25/20 + 10/y = ? Solve for y.

Answers

Answer:

your answer is y=-8 for sure

Let n be an odd integer with exactly 11 positive divisors. Find the number of positive divisors of 8n^3

Answers

Answer: 124

Step-by-step explanation:

As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.

We know this product is equal to 11.

Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be [tex]$n=p^{10}$[/tex], where p is a prime number.

We take a cube of the prime factorization of n to give us a prime factorization for [tex]n^3[/tex]

[tex]$$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$[/tex]

We see that [tex]n^{3}\text{ has }$30+1=31$[/tex] positive divisors.

Now, [tex]8n^3=2^3\times p^{30}[/tex]

Totald divisiors = [tex](3+1)(30+1)=4\times31=124[/tex]

Hence, the number of positive divisors of [tex]8n^3=124[/tex]

Please help I’ll give brainliest

Answers

Answer:

23

Step-by-step explanation:

I DID 7*3+2 & GOT 23

Tower A and B are 151 m apart.
From the top of tower A at 68 m above ground, the angle of elevation to the top of tower B is 23°.
How tall is tower B to the nearest metre?

Answers

Answer:

132m

Step-by-step explanation:

Height of tower B = Height of tower A + difference in height between tower B and A

The difference in height can be determined using tan

tan 23 = opposite / adjacent

tan 23 = opposite / 151

0.4245 x 151 = opposite

opposite = 64m

Height of tower B =  64m + 68m = 132m

Please help me if yk tha answer :))

Answers

Answer:

cosθ = sinθ/tanθ

Step-by-step explanation:

tanθ = sinθ/cosθ (Given)

cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)

cosθ = sinθ/tanθ (Divided tanθ on both sides)

Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; However, one can deduce from the options that the question refers to percentage change.

I will give two illustrations that shows how to calculate percentage change.

Illustration 1

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$55[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{10}{45} * 100\%[/tex]

[tex]\%Change = \frac{1000}{45} \%[/tex]

[tex]\%Change = 22.22\%[/tex]

This means there is a 22.22% increase

Illustration 2

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$35[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{-10}{45} * 100\%[/tex]

[tex]\%Change = -\frac{1000}{45} \%[/tex]

[tex]\%Change = -22.22\%[/tex]

The negative sign indicates percentage decrease

So, this means there is a 22.22% decrease

The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?

Answers

Answer: 105

Step-by-step explanation:

Given

The ratio of men to women working for a company is 4:7

There are total of 165 employees

Suppose, there is  4x men and 7x women such that the ratio remains constant

[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]

[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]

Can someone help me please???

Answers

Answer:

35,691

Step-by-step explanation:

First step, look at the diagram and you see that you have a sphere and a cone.

The total surface area of a sphere is

[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]

Since you only have half of a sphere, the surface area is 9,556.5

The surface area of the cone is

[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]

You don't need the bottom of the cone however as it is connected to the half sphere.

So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800

The area of the circle is 4,778

Find MN. See image below.

Answers

Answer:

Step-by-step explanation:

Tangents from the point outside the circle are equal

NL = JL  

NM + ML =JK + KL

2x - 7 + 9 = 8 + 10  

     2x + 2 = 18      {Subtract 2 from both sides}

           2x = 18 - 2

          2x  = 16   {Divide both sides by 2}

             x = 16/2

x = 8

MN = 2*8 - 7 = 16 - 7 = 9

MN = 9

what is the correct answer​

Answers

Answer:

Step-by-step explanation:

B is correct answer

The correct answer is B

How many solutions are there to the following equation?
2- 5x= 3(2 – 3x)
A. O
B. 1
C. Infinitely many

Answers

the answer should be c

What is the measure of the unknown angle?

Answers

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?

Answers

Answer:

2.03% Rate of Population Growth.

Step-by-step explanation:

According to the Question,

Given, In 2006 the population was 1148 and in 2014 the population was 1348.

2006⇒2014  (8 Years)

So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]

[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]

(1 + x/100) = 1.0202

x/100 = 0.020276

x = 2.03% Rate of Population Growth

Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week there are 16 cups in I

Answers

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

Jenny rolled a pair of number cubes, each with the numbers 1 through 6.
What is the probability that Jenny rolled two 1s?


A. 1/36
B. 1/18
C. 1/12
D. 1/6

Answers

Jenny rolled 1/18

Answer:

D. 1/18

The scatter plot shows the relationship between tickets sales at a theme park and the number of cloudy days per month for the past year.

Theme Park Ticket Sales

(in thousands)

100

99

98

97

96

95

94

93

92

91

90

87

86

BS

0

9 10 11 12 13 14 15

Number of Cloudy Days per Month

Which statement best describes the relationship shown in the scatter plot?

A Ticket sales are high when there are few cloudy days.

O B. Ticket sales are low when there are many cloudy days.

C. Ticket sales go up if there are more cloudy days per month.

D. Ticket sales go down if there are more cloudy days per month

E Ticket sales are not affected by the number of cloudy days per month.

Answers

Answer:

E Ticket sales are not affected by the number of cloudy days per month.

Step-by-step explanation:

From the scatter plot Given, using visual observation, we can infer that the relationship between theme park ticket sales and the number of cloudy sales is randomly scattered with no defined linear pattern. That is, the plot does not ascertain of the number of ticket sales increases with increasing number of cloudy days, or vice versa. Hence, the relationship will best the described as concluding that ticket sales are not affected by the number of cloudy days per month.

The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?

Answers

Answer:

A. y = -(x + 5)^2 + 4

Step-by-step explanation:

After a small online search, I've found that the options are:

A. y = -(x + 5)^2 + 4

B. y = -(x - 5)^2 + 4

C. y = -(x + 5)^2 - 4

D. y = -(x - 5)^2 - 4

For a quadratic equation with a vertex at the point (h, k) is written as:

y = a*(x - h)^2 + k

Where a is the leading coefficient.

So, if here we have the vertex at (-5, 4)

y = a*(x - (-5))^2 + 4

y = a(x + 5)^2 + 4

Then the correct option is the first one, where a = -1, then the correct option is A.

What is 350-450:90+15x3

Answers

390 is the correct answer!

help I will give brainliest if you do everything

Answers

5a) 2x + 16

5b) The y intercept=16 represents the order cost excluding the prints themself.


Explanation: X = the # of prints ordered and each print costs $2 to add to the order.


6a) 7x + 5

6b) 47 inches

Solve for x and y in the system of equation
3x²+4y=17
2x²+5y=2
I'll mark brainliest​

Answers

Answer:

[tex]x=\pm \sqrt{11} \\y=-4.[/tex]

Step-by-step explanation:

[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Help geometry ……………..

Answers

Answer:

Angle F

Step-by-step explanation:

Answer:   Angle F

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

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY

Answers

1) I’m pretty sure for this one the answer is X = 1, -1 but that’s not an option. So I’d double check with your teacher so make sure there is no typo.
2) Q
3) +/- sq rt 19
The answer is the last one because it is
Other Questions
Where are temperatures rising fastest due to global warming?a.At the equatorc.In the Pacific oceanb.In the arcticd.In the Amazon basinPlease select the best answer from the choices providedABC Name a Radius A. APB. ABC. DED. All of the above please help I'll really appreciate it help pls will give brainliest Which one of the following countrieshas put a limit on the amount of timberthat can be exported (sent to othernations)?A. IndonesiaB. CambodiaC. Thailand Solve x2 3x = 8. (2 points) I need help with 1.5 ,1.6 and 1.7 please a nitrde ion has 7protons,8nutrons and 10 electrons. what is the overall change Breaking information down into manageable pieces can help youA- learn vocabulary more easily.B- Develop a purpose for reading.C- memorize key phrases.D- Avoid information overload. How did President Abraham Lincoln's Reconstruction plan differ from the Wade-Davis Bill? tuyu or yoasobi like artist wise HELPPPPPP don't troll ima report A 3.06 gram sample of an unknown hydrocarbon with empirical formula CH2O was found to contain 0.0170 moles of the substance. What are the molecular mass and molecular formula, respectively, of the compound im so stressed rn i need help pls the answer is robert e lee !!PLEASE HELP 25 POINTS!! The graph of an absolute Value Which best describes this summary? O It is strong because it states the overall central idea, includes only the most important ideas, and contains only objective statements. O It is strong because it presents ideas in the same order as the text, includes many relevant details, and contains only subjective statements. O It is weak because it does not state the overall central idea or include important ideas, and it contains only objective statements O It is weak because it does not present ideas in the same order as the text or include relevant details, and it contains only subjective statements Which example best describes how a bank injects money into the economy?O A bank opens a savings account for a customer.A bank approves a loan for a customer.A bank buys a company's rapidly growing stock.O A bank buys property in a bustling business district. Based on the thesaurus entry, which word would best replace the underlined word without changing the overall meaning of this sentence? 3rd time asking!!!! What are the chemical names of these compounds?KF: Mg3N2: This equation is unbalanced. Which of the following is the correct balanced equation for this reaction?