From the table below, determine whether the data shows an exponential function. Explain why or why not.
х
3 1 -1 -3
у
1 2 3 4
a. No; the domain values are at regular intervals and the range values have a common sum 1.
b. No; the domain values are not at regular intervals.
C. Yes; the domain values are at regular intervals and the range values have a common factor 2.
d. Yes; the domain values are at regular intervals and the range values have a common sum 1.

Answers

Answer 1

Answer:

B because the domains repeat themselves so it can not be a function

Answer 2

No; the domain values are not at regular intervals.

The correct option is b.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

In an exponential function, the domain values are usually at regular intervals, and the range values have a common factor or a common sum.

In the given data, the domain values are not at regular intervals.

The difference between 3 and 1 is 2, and the difference between 1 and -1 is 2, but the difference between -1 and -3 is -2.

This indicates that the domain values are not at regular intervals, which means that the data cannot be modeled by an exponential function.

Additionally, the range values also do not have a common factor or a common sum. The difference between consecutive y-values is 1, which is not a constant factor or sum.

Therefore, the data cannot be modeled by an exponential function.

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Related Questions

What is the solution R-7=1?? Thank

Answers

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

What is the probability of scoring a total of 6

Answers

what are the choices
can you explain some more please

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008
a. Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of .
b. Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
c. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of .
d. Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion?
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?

Answers

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}= p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0204^{2})[/tex].

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0204}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0204})[/tex]

                                          [tex]=P(-1.96<Z<196)\\=P(Z<1.96)-P(Z<-1.96)\\=0.975-0.025\\=0.95[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0306^{2})[/tex].

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0306}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0306})[/tex]

                                          [tex]=P(-1.31<Z<196)\\=P(Z<1.31)-P(Z<-1.96)\\=0.9049-0.0951\\=0.8098\\\approx 0.81[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

oof i forgot to put the picture in thelast question sorry no trolls i will give brainliest to the answer that help me :))

Answers

Answer:

my GUESS would be A

Step-by-step explanation:

because 2+4=6

but also kinda slow soo.....

Answer:was it 3?

Step-by-step explanation:

thats wat i got not sure tho

I need help with this question

Answers

Answer:

The answer is going to be option 1.

Step-by-step explanation:

The answer you get from multiply an number by itself is a perfect square.

Answer:

8×8 =8^2=64 (perfect square)

Step-by-step explanation:

64 is a perfect square because 8^2 =8×8 =64

What did I do wrong? ​

Answers

You have to remember when you divide the sign flips and it doesn’t change to let’s say greater than or equal to it just changes to the opposite side

Answer: For the last answer its actually less than

Step-by-step explanation: Instead of you put less than you put Its less than or equal to which is wrong.





Divide.
636-3
The quotient is
and the remainder is

Answers

Answer:

212

Step-by-step explanation:

3 goes into 6 = 2 times

3 goes into 3 = 1 time

3 goes into 6 = 2 times

2 → 1 → 2 = 212

Hope this helps .


P. S pls mark as brainliest

An ice sculpture is melting at a constant rate. Its weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours

Answers

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

What is rate of change of function?

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}] $$

Answers

Answer:

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Step-by-step explanation:

Given that:

[tex]\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7][/tex]

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)][/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1][/tex]

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

What is the ratio of 20 praise and 2000 rupees

Answers

1:100 because 20 divide by 20=1 and 2000 divide by 20 =100

Answer:

1 rupee=100 paisa

so, 20 paisa:2000 rupees

=>20 paisa:2000×100

=>1:10000.

3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure. ​

Answers

Answer:

can u attach the diagram

Step-by-step explanation:

Determine the ordered pair that satisfies the equation, -5x - 6y = -8.

Answers

Answer:

-2&-4

Step-by-step explanation:

-5x-6y=-8

it is a quadratic equation:

-5x-6y+8=0

(x-2)(x-4)

cross multiple and you'll get

-5x-6y+8=0

I don't know if you want to solve for x or y so I'm gonna do both.

Answer: x=-6/5y+8/5; y=-5/6x+4/3

Explanation: -5x-6y=-8 start by answering for x by adding it to both sides, -6y=-8+5x then add 8 to both sides, -6y+8=5x then divide 5 from both sides x=-6/5y+8/5. Now lets solve for y -5x-6y=-8 add 6y to both sides, -5x=-8+6y then add 8 to both sides, -5x+8=6y, then divide 6 from both sides -5/6x+8/6=y then simplify 8/6 into 4/3 and rewrite the equation y=-5/6x+4/3

Let z = 9 – 2i and zw = 25 + 70i.

What is w?

1 + 8i
1 – 8i
–1 + 8i
–1 – 8i

Answers

Answer:

1+8i

Step-by-step explanation:

Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.

What are complex numbers?

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.

= (9 - 2i)(1 + 8i)

= 9 + 72i - 2i -16i^2

= 9 + 70i + 16  (i^2 = -1)

= 25 + 70i

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It takes 5 quarts of water with 12 lemons to make lemonade. How many lemons would you need for
15 quarts of water?

Answers

Answer:

36 lemons

Step-by-step explanation:

You would need 36 lemons for 15 quarts of water because for every 5 quarts of water, it takes 12 lemons. 15 quarts is 3x5 quarts, and 12x3=36 lemons. Hope it helps!

Evaluate the following question:f(x) = 3x - 7 for f(10)

Answers

Answer:

f(10) = 23

Step-by-step explanation:

you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7

Answer:

x=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=−1

how to simplify 2a³ × a⁴​

Answers

Add the exponents since it’s multiplication, so it would be 2a^7, hope this helps

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

a spring of original length 25 cm was stretched to a new length of 28 cm when a force of 12 n was applied. what would its new length be if the applied force is doubled?
a. 31 cm
b. 35 cm
c. 50 cm
d. 45 cm

Answers

Answer:

A. 31 cm

Step-by-step explanation:

Hopefully its right :)

Help me on these questions

Answers

2) 5:3=15:25
3)18:12=27:8

Find the unit rate for each of the following tables

Answers

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

Write the product using exponents.
(-4).(-4).(-4).y.y

Answers

The product would be -64y^2

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

help im confused..........

Answers

Answer:

rvefncoqjefadsNofvewnvfeeljjnfvqe

Step-by-step explanation:

fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me

Answer:

lol im confused aswell

Step-by-step explanation:

Evaluate the variable expression when a = 5, b = 5, and c = -4.
Bc divided by (2a)

Answers

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

The value of the expression bc ÷ 2a will be negative 2.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

The value of the variable expression when a = 5, b = 5, and c = -4.

The expression is given below.

⇒ bc ÷ 2a

Substitute the value of the variable a = 5, b = 5, and c = -4.

⇒ 5 × (-4) ÷ 2 × 5

Simplify the expression, then the value of the expression will be

⇒ - 20 ÷ 10

⇒ - 2

The value of the expression will be negative 2.

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Please help!
Choose 1 answer:
Monday
Tuesday
Wednesday
Thursday

Answers

Wednesday because Friday is (-4) and you add (-9) it adds too (-13) Wednesday
wednesday is the correct answer

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

find the trig value (with work)

Answers

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5

please help!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?

Answers

Let x = liters 20% solution to be added
then

.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters


Hope this helped!!

4 liters of 20% solution are needed to get a 14% solution.

Suppose x liters of 20% solution is needed to get a 14% solution.

What is a solution?

The solution is a homogenous mixture of two or more substances in relative amounts.

So, according to the question

Final concentration of solution = 14%

So, 12% of 12  + 20% of x = 14% of (12+x)

12*12/100 + 20*x/100 = 14*(12+x)/100

144 + 20x = 168 + 14x

6x =24

x=4

4 liters of 20% solution is needed to get a 14% solution.

Therefore, 4 liters of 20% solution is needed to get a 14% solution.

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15 POINTS!!!

Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?

Answers

Answer:

1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165.  So that's what the premium would have to be in order to get a profit of 0.

 

2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.

 

3. The expected profit on 375 policies would be 375 * 185 = $69375

Step-by-step explanation:

What is 11/9 as a decimal?

Answers

1.2

hope this helped:))

you could put a - over the 2 to show it continues because it’s 1.22222222 and so on

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

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