n exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval
The exponential grows at half the rate of the quadratic.
The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic.
The exponential grows at four times the rate of the quadratic.

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

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Answer:

Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since​ 2013 and is significantly different from 45%

Step-by-step explanation:

Sample size, n = 3603

x = 1697

Phat = x/n = 1697/3603 = 0.4709 =47.09%

H0 : p = 0.45

H1 : p > 0.45

The test statistic :

(phat - p) / sqrt[(p(1 - p)) /n]

(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]

0.0209 / 0.00828810932

Test statistic = 2.5217

The Pvalue :

Using the Pvalue from Test statistic calculator ; α = 0.05 ;

Pvalue at 95% confidence = 0.005839

Pvalue < α ;

Hence, we reject the Null

Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since​ 2013.

Answer:

15⁰

Step-by-step explanation:

a straight line is 180⁰. 180-165=15

Step-by-step explanation:

Since a line is 180°, we can add 165 to x equal to 180

[tex]165+x=180[/tex]

[tex]x=15[/tex]

Hope that helps :)

Answer:

What's the the temperatures?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

If we have to evaluate an expression, we spsolve for whatever variable there is, and simplify. Here, we know x is 17, so we can plug it into the original expression.

17 + 23 = 40

Answer:

D. Maximum when it leaves the ground

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship  going west ( x-direction)   is traveling at 15 mph

Ship going north  (y-direction) is traveling at 10 mph

The distance L between ships is:

L²  = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt  + 2*y*Dy/dt    (1)

In that equation we know:

Dx/dt  = 15 mph

Dy/dt  = 10 mph

At the moment  ship traveling from the east is at 3 miles from the port

then x = 3 m  and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4²    L = 5

By substitution in equation 1

2*5*DL/dt  = 2*3*15 + 2*4*10

10* DL/dt  =  90  +  80

DL/dt = 170 / 10

DL/dt = 17 mph

Answer:

I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance

Step-by-step explanation:

please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.

Answer:

20661046784

Step-by-step explanation:

I couldn't get the pos exponent but hopefully this helps

Step-by-step explanation:

so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.

we want how many minutes that the train will not be there over the total time that is possible so that would be

16/(16+3.5)

16/19.5

32/39

Hope that helps :)

The probability of the train not being at the station on arrival would be:

0.82

Given that,

The duration for which the train makes = 3.5 minutes

The time at which the second train arrives = 16 minutes later

We know that this cycle is repeated.

The duration for which the train is not there would be:

[tex]= 16/(16+3.5)[/tex]

[tex]= 16/19.5[/tex]

[tex]= 32/39[/tex]

[tex]= 0.82[/tex]

Thus, 0.82 is the probability.

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Answer:

The answer is 52.6038

Step-by-step explanation:

Answer:

Step-by-step explanation:

52.6038

Answer:

1. Supplementary angles

2.  alternate exterior

3. verticle angles

4. alternate interior

The box matches the numbers. 1 is the answer in the first box, and so on.

Let me know if you have any questions

Answer:

Long = 5√3

Step-by-step explanation:

Hypotenuse = 10

Short = 5

Long = ?

Apply Pythagorean theorem to find Long:

Long² = hyp² - short²

Long² = 10² - 5²

Long² = 100 - 25

Long² = 75

Long = √75

Long = √(25*3)

Long = 5√3

Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

Answer: false, 44 is not less than 24

Step-by-step explanation:

Substitute-3 for x and -7 for y.

4(-3)-8(-7)<24

-12+56<24

44<24

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

Answer:

A. bananas

Step-by-step explanation:

6-3= 3

8-4= 4

3-3= 0

4-4= 0

Answer:

The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

[tex]AB = 2\cdot BC[/tex]

[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.

[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]

Then, we expand and simplify the expression above:

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]

If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:

[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]

[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]

[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]

In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Answer:

it is biased

Step-by-step explanation:

Answer:

[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)  

Step-by-step explanation:

To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:

[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]

So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.

To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.

Answer:

first one

Step-by-step explanation:

Because the coefficient of x is 3 and coefficient of y is-7

Answer:

A

Step-by-step explanation:

Answer:

12 8/11

Step-by-step explanation:

hope it helps you

Answer:

Amount after 9 year = 8,310 (Approx.)

Step-by-step explanation:

Given:

Amount invested = 12,000

Rate on decline = 4% per year = 0.04

Number of year = 9

Find:

Amount after 9 year

Computation:

A = P[1+r]ⁿ

A = 12,000[1-0.04]⁹

A = 12,000[0.96]⁹

A = 12,000[0.6925]

Amount after 9 year = 8,310 (Approx.)

9514 1404 393

Answer:

  D. y = -1/3x

Step-by-step explanation:

The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...

  k = y/x . . . . . divide the above equation by x

For the given point (x, y) = (-3, 1), the value of k can be seen to be ...

  k = 1/-3 = -1/3

Then the equation for the line is ...

  y = -1/3x . . . . matches D

Answer:

4.094

Step-by-step explanation:

in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094