1. Which of the following models is an exponential decay model?
a) y = 12 (3.57)^t
b) y = 4 (1.21)^t
c) y = 1 + 6t
d) y = 7 (0.98)^t

2. Which of the following models is an exponential decay model?
A) y = 2,000 (0.07)^t
B) y = 4,000 (3.84)^t
C) y = 26t^2
D) y = 1 + 17t

3. Exponential decay models have a base between ____ and ____.

Answers

Answer 1

Answer:

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. zero and 1

Step-by-step explanation:

General form of an exponential model:  [tex]\mathsf{y=ab^x}[/tex]

If 0 < b < 1 then model decays

1. d) [tex]\mathsf{y=7(0.98)^t}[/tex]

2. A) [tex]\mathsf{y=2000(0.07)^t}[/tex]

3. Exponential decay models have a base between 0 and 1


Related Questions

Simplify the following expression.

(8x + 4) - (2x2 + 4x - 7)

Answers

Answer:

-2x^2 + 4x + 11

Step-by-step explanation:

whats 2x2 ? do you mean 2x^2 ? if so then...

8x + 4 - 2x^2 - 4x + 7

4x + 11 - 2x^2

-2x^2 + 4x + 11

Answer:

this is the answers 2x^2+4x+11

An animal gained 2 pounds steadily over 10 years. What is the unit rate of pounds per year

Answers

Answer:

0.2

Step-by-step explanation:

2 divided by 10

Find the area of each shaded sector. Round to the hundredths place
10. SR = 26m

Answers

Check the picture below.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}[/tex]

Lola bought 6 bracelets for $7.50 and 10 rings for $13.00. At the same time, Bella bought 8 bracelets and 7 rings. What is the total price for the items Bella bought? ​

Answers

Answer:$51.5

Step-by-step explanation:

what is the complement of 37 degrees without using a protractor, sketch the two angles so that they are adjacent

Answers

Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

Use the elimination method to solve the system of equations. Choose the correct ordered pair.
6x+4y=32
-6x+4y=8

Answer Choices:
A) 0,8
B) 2,5
C) 1,5
D) 4,2​

Answers

Answer:

B

Step-by-step explanation:

6x+4y=32

4y=8+6x

6x+8+6x=32

x=2

2×6+4y=32

12+4y=32

4y=20

y=5

Distribute to create an equivalent expression with the fewest symbols possible.

1/2(10x+20y+10z) =

Answers

[tex]\\ \rm\longmapsto 1/2(10x+20y+10z)[/tex]

a(b+c)=ab+ac

[tex]\\ \rm\longmapsto 10x/2+20y/2+10z/2[/tex]

[tex]\\ \rm\longmapsto 5x+10y+5z[/tex]

Answer:

5x+10y+5z

Step-by-step explanation: it was on khan academy and it was right  

1.2y+4.5-3.4y-6.3 pls help me

Answers

Answer:

-2.2y-1.8

Step-byStep-byStep-byStep-byStep-byStep-byStep-byStep-byStep-by

1.2y-3.4y=-2.2y

4.5-6.3=-1.8

ssoso:-2.2y-1.8

A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? how do you put this in a ratio??

Answers

Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long
shadow
5×3=15
4x3=12 so the birdhouse and pole are 12
feet
THANKS!

round these amounts to the nearest whole dollar.3.87cedis.9.28 cedis.11.05 cedis.4.39cedis​

Answers

Answer: 4.00, 9.00, 11.00, 4.00

Step-by-step explanation:

When we round, we round from the digit one smaller than the one we're rounding to. In this case, since we're rounding to the dollar, we round from the 10th place. To round, we need to know whether the number we're rounding from is smaller than, equal to, or larger than 5. If the number is smaller than 5, we round down. Larger, and we round up. If the number is equal to 5, we also round up.

Help
This is really confusing

Answers

Step-by-step explanation:

The 53rd ball will be blue. I don't really know how to explain but I'll try.

So there are black, white and blue balls. If you look closer you'll see that the words 'black,white,blue,black, blue were repeated twice. So let's say that the first 5 letters are a set. To get the 50th color, all you have to do is 5 × 10 which is 50 and the 50th term is blue. Just add black(51st), white(52nd) and you'll get the 53rd color to be Blue.

I don't know how to do <2>.

Hope this helps!

Please mark me brainliest :)

4. If m 1 = (10x + 42)° and m 7 = (2x + 6)º,
what is the value of x, m 1?

Answers

Answer:

Value of x = 8

(3x - 7) = (5x - 23)

-2x = -16

x = 8

Value of m 8 = 17 degrees

5(8) - 23

40 - 23 = 17

Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy​

Answers

Answer:

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Step-by-step explanation:

Let Colombian coffee bought = [tex]x[/tex] lbs

Total weight of mixture bought = 1 lbs

Therefore, French roast coffee beans bought = (1 - [tex]x[/tex]) lbs

Price of 1 lb Colombian coffee = $4.25

Price of [tex]x[/tex] lbs of Colombian coffee = $[tex]4.25x[/tex]

Price of 1 lb French roast coffee beans = $3.75

Price of (1 - [tex]x[/tex]) lbs French roast coffee beans = $3.75(1 - [tex]x[/tex])

It is given that total money spent is $4.

As per given statement:

[tex]4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}[/tex]

Colombian coffee bought = 0.5 lbs

French roast coffee beans bought = 0.5 lbs

Write and equation to represent the function.
Input(x). 1. 2. 3. 4
Output(y). 8. 19. 30. 41

Answers

Answer:

[tex]y=11x-3[/tex]

Step-by-step explanation:

Given ordered pairs:

(1, 8)  (2, 19)  (3, 30)  (4, 41)

As the y is directly proportional to x (y values increase +11 for every +1 increase for the x-values) then the equation will be linear.

Point-slope form of a linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

[tex]\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(1,8)[/tex][tex](x_1,y_2)=(2,19)[/tex]

[tex]\implies \textsf{slope }m=\dfrac{19-8}{2-1}=11[/tex]

Using point-slope equation with m = 11 and point (1, 8):

      [tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-8=11(x-1)[/tex]

[tex]\implies y=11x-3[/tex]

Which of the following is NOT a linear function?

Answers

Answer:

x^2 + 8 = 64 is not a linear function

Step-by-step explanation:

using the process of elimination and a graphing calculator, you can see that the rest of the functions give you a linear function. therefore, the answer is x^2 + 8 = 64 is not a linear function!! i hope this helps you!! <3

The [tex]x^2 + 8 = 64[/tex] is not the liner function.

The following information regarding the linear function is:

It is the function where the graph is in the straight line. The form in the linear function should be y = a + bx.In this, there is one dependent and one independent variable.

Therefore we can conclude that the [tex]x^2 + 8 = 64[/tex] is not the liner function.

Learn more about the linear function here: brainly.com/question/20286983

An object is thrown in the air with an initial velocity of 5 m/sec from a height of 9 m. The following equation models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?

Answers

Check the picture below.

[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&5\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&9\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+5t+9\implies \stackrel{h(t)}{0}=-4.9t^2+5t+9 \implies 4.9t^2-5t-9=0[/tex]

since we don't get any neat integer values from it hmmm let's plug that in the quadratic formula to see what we get as h(t) = 0.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{-5}t\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-5) \pm \sqrt { (-5)^2 -4(4.9)(-9)}}{2(4.9)}\implies t=\cfrac{5\pm\sqrt{25+176.4}}{9.8} \\\\\\ t=\cfrac{5\pm \sqrt{201.4}}{9.8}\implies t\approx \begin{cases} 1.96~~\checkmark\\ -0.94 \end{cases}[/tex]

notice, we do not use the negative value for "t", since the seconds cannot be less than 0.

What critical value of t* should be used for a 98% confidence interval for the population mean based on a random sample of 25 observations?


A. t* = 2.485

B. t* = 2.492

C. t* = 2.787

D. t* = 2.797

Answers

Using a t-distribution calculator, it is found that the critical value of t* for a 98% confidence interval with 25 observations is given by:

B. t* = 2.492

How to find the critical value of the t-distribution?

It is found using a calculator, with two inputs, which are given by:

The confidence level.The number of degrees of freedom, which is one less than the sample size.

In this problem, we have a confidence level of 98% and 25 - 1 = 24 df, hence the critical value is of t* = 2.492, which means that option B is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

#SPJ2

1. Brother has 12 red blocks, 10 blue blocks, and 8 yellow blocks. What is the ratio of red blocks to yellow blocks?

Answers

[tex]ratio-of-red-blocks-to-yellow-blocks = \frac{number-of-red-blocks}{number-of-yellow-blocks} =\frac{12}{8} =\frac{3}{2}[/tex]

Answer: [tex]\frac{3}{2}[/tex] or   3 : 2

Hope it helps!

Answer:

3 : 2

Step-by-step explanation:

Need help asap pleaseeeeee

Answers

200? I’m sorry I’m not that good at math
200 each box is 100 area so 100+100 200

3x+2=2x +13 divided by 3

Answers

Hope this helps

Good luck

Please ANSWER NOW, PLEASE HELP , for math 50 points!!!

Answers

- Around 169.
- Around 150
- Around 600
If I had to guess

ASAP it has to be a full answer no decimals it can be a number, fraction or mixed fraction HELP PLEASE

Write 22/35 as a percent

Answers

Answer: 628571%.

Step-by-step explanation:

Your answer would be 62.86%

If a number is divisible by 10, then its ones digit is 0
TRUE OR FALSE

Answers

Answer:

its true, depending on the times table.

Answer:

True

Step-by-step explanation:

This statement is always true.

36 (highest)POINTS PLS ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

First you find the area, 14 x 10 which is 140 inches
Then, inches to foot (12 inches in 1 foot)
So, 140/12 which is 11 2/3 feet
Now 11 2/3 * 2.50 for each foot is 29.16 (rounded down, 29$) (not sure if this is right btw)

Use the figure below to find angle PNO

Answers

Answer:

31 degrees

Step-by-step explanation:

A line has angle of 180 degrees.

So

[tex](2z+17)+(4z-23)=180\\6z-6=180\\6z=186\\z=31[/tex]

Which graph correctly solves the system of equations below? y = x2 + 3x + 4 y = x2 + 2x + 1 (1 point) Select one: a. two quadratic graphs opening up. They intersect at negative 3, 4. b. two quadratic graphs opening up. They intersect at 0, 3. c. two quadratic graphs opening down. They intersect at 0, 3. d. quadratic graph opening up and quadratic graph opening down. They intersect at 1, 4 and 0, 3. Clear my choice

Answers

Answer:

the answer is b b is the answer I did this before

141,204 dividido entre 82

Answers

The answer to 141,204 divided by 82 is 1,722.

Answer:

1722

Step-by-step explanation:

Find the average distance in Thursday is round your answer to the nearest 10 if necessary 7,20,9,35,12,15,7,10,20,25

Answers

= (7+20+9+35+12+15+7+10+20+25) : 10

with 10 = number of values

average distance = 160 : 10 = 16

At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March earnings total $2500, write and solve an equation that could be used to determine his total monthly sales for the month of March

Answers

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

[tex]Salary = \$1500[/tex]

[tex]Commission = 5\%\ of\ sales[/tex]

[tex]March\ Earnings = \$2500[/tex]

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

[tex]March\ Earnings = Salary + Commission[/tex]

[tex]March\ Earnings = Salary + 5\%\ of\ x[/tex]

Substitute values of March Earnings and Salary

[tex]2500 = 1500 + 5\% * x[/tex]

[tex]2500 = 1500 + 0.05 * x[/tex]

[tex]2500 = 1500 + 0.05x[/tex]

Solve for 0.05x

[tex]0.05x = 2500 - 1500[/tex]

[tex]0.05x = 1000[/tex]

Solve for x

[tex]x = 1000/0.05[/tex]

[tex]x = 20000[/tex]

Hence:

His March Earnings is $20000

what is the solution of the following equation? 2x-5+3x=35

Answers

2x - 5 + 3x = 35

simplify

5x - 5 = 35

add 5 to both sides

5x - 5 + 5 = 35 + 5

simplify

5x = 40

divide both sides by 5

5x/5 = 40/5

simplify

x = 8

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