From the table below, determine whether the data shows an exponential function. Explain why or why not.

Answer:

We are given the following information:

The number of apples Jim has [tex]=15[/tex]

The number of oranges Susie has [tex]=7[/tex]

The number of strawberries Greg has [tex]=3[/tex]

The number of banana Michelle has [tex]=1[/tex]

The number of limes Carrie has [tex]=5[/tex]

The number of pineapples Tim has [tex]=9[/tex]

Therefore, the total would be the sum of the above numbers. Therefore, we have:

[tex]Total=15+7+3+1+5+9=40[/tex]

Hence, the total would be 40.

Answer:

z=4  and z=-1/3  are the zero's

Step-by-step explanation:

To find the zeros of the quadratic function, we need to set it equal to zero.

f(z)=3z^2−11z−4

0 =3z^2−11z−4

Now we need to factor the function

0 = (z - 4) (3 z + 1)

Then using the zero product property set each factor to zero

0 = z-4   0 = 3z+1

Now solve

0+4 = z-4+4          0 -1 = 3z+1-1

4 =z                         -1 = 3z

                                -1/3 = 3z/3

                                   -1/3 =z

Answer:

z=4  and z=-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:9÷3=3 +6÷3=2 for a total of 5 baskets

Answer:

Option a:

a=79

b=1.002

r=0.2%

Step-by-step explanation:

Q = 79 (1.002)^t

Q = a b^t = a (1+r)^t

Comparing with the formulas:

a=79

b=1.002

1+r=1.002

Solving for r: Subtrating 1 both sides of the equation:

1+r-1 = 1.002 - 1

r = 0.002

Writting r as percent:

r = (0.002) 100%

r = 0.2%

Answer:

A quadrilateral has 4 right angles

Step-by-step explanation:

In a conditional statement

If hypothesis, then conclusion

OR

Conclusion, if hypothesis.

The hypothesis goes with the if part.

Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.

-------------------------------------------------------------------------------------

Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.

To provide a short definition,

Parallel lines are lines as the word suggests "parallel" which means they will stay side by side and never cross.

Perpendicular lines are lines that cross, usually to determine perpendicular lines you would take a slope and negatively reciprocate it.

Perpendicular:

1/2 -> -2

Parallel:

1x + 3

1x

Look at the picture.

common part, then "and"

Answer: The answer is A.

Step-by-step explanation: You cant go over the $15 limit and in answer A, the sign shows that 1.80x + 1.95y is less than or equal to 15.

the answer to this question is A

Answer:

80

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]\bold{13\dfrac{1}{3}\ \text{hours}}[/tex]

Step-by-step explanation:

Parabola Skate Rental:   4.50x + 35

Arc Hawk Skate Rental:  5.25x + 25

If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          subtracted 4.50x from both sides

0.75x = 10           subtracted 25 from both sides          

     [tex]x=\dfrac{1000}{75}[/tex]        divided both sides by 0.75

     x = [tex]13\dfrac{1}{3}[/tex]        simplified the fraction

Step 1.

Calculate measure of angle α:

[tex]47^o-38^o=9^o[/tex]

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

[tex]\dfrac{9^o}{360^o}=\dfrac{1}{40}[/tex]

Step 3.

Calculate the circumference of the Earth (circle):

[tex]C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi[/tex]

Step 4.

The length of arc is equal 1/40 of the circumference:

[tex]\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi[/tex]

[tex]\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi[/tex]

The question uses geometry and the concept of arc length to ask the distance between Seattle and San Francisco on the Earth's surface. The distance between the two cities is calculated to be 628 miles.

This is a mathematics problem using geometry, specifically related to the calculation of the arc length. The difference in latitudes between Seattle and San Francisco gives us the angle measurement on the sphere's surface. The difference is 47° - 38° = 9°. Since 9° is 1/40th of a full circle (360°), the arc is 1/40th of the total circumference.

So, to find the distance between the two cities, we calculate 1/40th of the circumference of the Earth (which is 2πr) by using the given radius of the Earth (4,000 miles). The calculation is 1/40 * 2 * 3.14 * 4000 = 628 miles. So, The distance between Seattle and San Francisco via the arc length on the sphere's surface is approximately 628 miles.

Therefore, the correct answer is A) 628 miles.

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Answer:

$27402.    

Step-by-step explanation:

We have been given that Berto invested in a precious mineral. The value of the mineral tends to increase by about 11% per year. He invests $40,000 in 2015.

Let us write a function using our given information for the value of minerals.

We are told that the value of minerals increase by 11% every year, so our function will be an exponential function.

Since an exponential function is in form: [tex]y=a*b^x[/tex]; for growth b=(1+r), where r is rate of growth in decimal form.

a= Initial value.  

Let us convert our given rate in decimal form.

[tex]11 percent= \frac{11}{100}=0.11[/tex]

Let G(t) be the growth of minerals t years after 2015.

Upon substituting our given values we will get our function as: [tex]G(t)=40,000*(1+0.11)^t[/tex]

[tex]G(t)=40,000*(1.11)^t[/tex]    

To find the value of Berto's investment in year 2020 by substituting t=5 in our function as 2020-2015=5.

[tex]G(2020)=40,000*(1.11)^5[/tex]

[tex]G(2020)=40,000*1.6850581551[/tex]

[tex]G(2020)=67402.326204\approx 67402[/tex]    

Therefore, the value of his investment in 2020 will be $67402.

Let us find the difference of values of minerals between 2020 and 2015.

67402-40000=27402

Therefore, Berto's investment will be worth $27402 in 2020.

Answer:

Step-by-step explanation:

20742

Problem 1

Answer: Choice A

Vertically stretching it by a factor of 2 is the same as compressing it horizontally by a factor of 2

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

Problem 2

Answer: choice B

Add up the functions to get

M(s) + L(s) = (225+0.65s) + (54 + 1.15s)

M(s) + L(s) = (225+54) + (0.65s+1.15s)

M(s) + L(s) = 279 + 1.80s

Answer:

A: x+5

B: 4x-1

Step-by-step explanation:

4x^2+19x-5

(4x     )  ( x     )

We know that 1 will be positive and 1 will be negative.

Our choices for the numbers are 5 and 1

4*5 -1 = 19

(4 x - 1) (x + 5)

Answer:

30 feet

Step-by-step explanation:

Interesting question.

The maximum height is 360 inches.

The maximum height reached was 30 feet.

Answer:

C. 20 seconds

Step-by-step explanation:

We want to know when y=0.

We are finding the x intercepts.

The first y is when it started and the second y=0 is when it stops.

Looking at the graph y=0 at x=0 and  y=0 at x=20

The fan started at time 0 and stopped at 20 seconds.

The difference is the length of the test.

20-0 = 20

20 seconds

Answer:

20 seconds

Step-by-step explanation:

Given :

[tex]y=-5x^2+100x[/tex]

Where x  represents time in seconds and y represents the speed in rotations per minute.

To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

Solution:

Since we are supposed to find how long will it take to stop the fan completely

We assumed that  test was complete when the fan stopped spinning completely

i.e. y = Speed = 0

So, Substitute y = 0 in the equation    [tex]y=-5x^2+100x[/tex]

⇒[tex]0=-5x^2+100x[/tex]

⇒[tex]5x^2=100x[/tex]

⇒[tex]5x=100[/tex]

⇒[tex]x=\frac{100}{5}[/tex]

⇒[tex]x=20[/tex]

Thus it took 20 seconds to stop the fan

Hence the test was 20 seconds long.

Answer:

The answer is D

Step-by-step explanation:

Answer:

d. -5/8

Step-by-step explanation:

To find slope, use the following equation

slope (m) = (y₂ - y₁)/(x₂ - x₁)

First, set each coordinate. Let:

(x₁ , y₁) = (-6 , 8)

(x₂ , y₂) = (2 , 3)

Plug in the corresponding numbers for the corresponding variables.

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 8)/(2 - (-6))

Simplify. Note that two negative signs would result in a positive sign.

m = (3 - 8)/(2 + 6)

m = -5/8

d. -5/8 is your answer

~

Answer: w = 7cm

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 Width is 4 cm less than the length, so w = L-4

  36 = 2L + 2(L-4)

 36 = 2L + 2L - 8

 36 = 4L - 8

44 = 4L

 L = 11

w = 7

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

Answer:

7cm

Step-by-step explanation:

36x2= 72

86-72= 14

14/2= 7

1t+45d

i think. could be wrong.

Answer:I Believe the Correct answers are:

x+5y ≤ 50

and

x+y≥50

Answer:

y ≤ 25

x ≥ 5y

x + y ≥ 50

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the five is in the ones place so you count five ones and that equals 5

Good luck!

Answer:

ones

Step-by-step explanation:

look at the pic below

11/12 - 7/9

=>taking L.C.M of the denominator

=>11/36 - 7/36

=>4/36

=>2/18=>1/9

Answer:

it is 5 36

heres why

Step-by-step explanation:

Here's how to subtract 7/9 from 11/12:

11

12

−  

7

9

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 9, and get 99.

Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 9 = 108.

So now our fractions look like this:

99

108

−  

84

108

Step 2

Since our denominators match, we can subtract the numerators.

99 − 84 = 15

So the answer is:

15

108

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

15

108

÷ 3 =  

5

36

Let's try dividing by 3 again...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! The final answer is:

11

12

−  

7

9

=  

5

36

Answer:

The required ratio is: 9:5

Step-by-step explanation:

Let the number of frog's Rimma has be x

Then Julia's will be [tex]\frac{2x}{5}[/tex]

Now, Rimma give 1/2 of her frog to Julia means now, Rimma will have [tex]x-\frac{1}{2}[/tex] frog

Then Julia's frog will be [tex]\frac{2x}{5}+\frac{1}{2}[/tex]

Now, Rimma will have [tex]x-\frac{x}{2}=\frac{x}{2}[/tex]

And Julia will have [tex]\frac{2x}{5}+\frac{x}{2}=\frac{4x+5}{10}=\frac{9x}{10}[/tex]

Hence, the ratio of Julia's frog to Rimma's frog is [tex]\frac{\frac{9x}{10}}{\frac{x}{2}}[/tex]

[tex]Ratio=\frac{9x\cdot 2}{10\cdot x}[/tex]

[tex]\Rightarrow Ratio=\frac{9}{5}[/tex]

The required ratio is: 9:5

Answer:

9

Step-by-step explanation:

Make sure to use PEMDAS.

[tex]6/2(1+2)\\\text{Simplify.}\\3(3)\\\text{Simplify.}\\9[/tex]

Answer: p = $100,  R = $25,000

Step-by-step explanation:

The maximum is the y-value of the Vertex.

Step 1: Use the Axis-Of-Symmetry (AOS) formula to find x: [tex]x=\dfrac{-b}{2a}[/tex]

R(p) = -2.5p² + 500p

        a=-2.5  b=500

[tex]p=\dfrac{-(500)}{2(-2.5)}[/tex]

   [tex]=\dfrac{-500}{-5}[/tex]

   [tex]=100[/tex]

Step 2: Find the maximum by plugging the p-value (above) into the given equation.

R(100) = -2.5(100)² + 500(100)

          = -25,000 + 50,000

          = 25,000

The price that maximizes revenue for the software package is $100, and the maximum revenue attainable is $25,000 based on the given revenue function R(p).

To find the price that maximizes revenue and the maximum revenue itself, we can use the given revenue function R(p) = -2.5p² + 500p.

To find the price that maximizes revenue, we need to find the vertex of the quadratic function, as the vertex represents the maximum point. The formula for the x-coordinate (price in this case) of the vertex of a quadratic function in the form of ax² + bx + c is given by:

x_vertex = -b / (2a)

In our case, a = -2.5 and b = 500:

x_vertex = -500 / (2 * (-2.5))

x_vertex = -500 / (-5)

x_vertex = 100

So, the price that maximizes revenue is $100.

To find the maximum revenue, we need to substitute this price back into the revenue function:

R(100) = -2.5(100)² + 500(100)

R(100) = -2.5 * 10000 + 50000

R(100) = -25000 + 50000

R(100) = 25000

Therefore, the maximum revenue is $25,000.

So, the price that maximizes revenue is $100, and the maximum revenue is $25,000.

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Answer:

f(t)=35,400(1.02)t

Exponential Growth Function:

y=b(1+r)^t

where:

f(t) = 35,400(1 + 0.02)^t

f(t)=35,400(1.02)^t

Answer:

f(t)=35,400(1.02)t

Step-by-step explanation:

im taking the test i gotchu i just finished it and this was the correct answer