Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.

Answers

Answer 1

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate  = 2, which is the opposite of what we found)


Related Questions

The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8

Answers

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer:

2) -47, 33, -243, 907, -88

4) C & D

5) 30, 45, 0, -10

6) B

Answer:

1.)-47

33

-243

907

-88

2.)c, d

3.)Lighthouse=45

pls help me a little quick problem!! ty :)

Answers

Answer:

(8-b)/6

Step-by-step explanation:

give me Brainllest Plz

8. A truck is carrying peach juice, pear juice,
and grape juice bottles in a ratio of 4:3:5. If
there are 76 peach juice bottles, then how many
pear juice bottles are there?

Answers

Answer:

57 pear juices

Step-by-step explanation:

because we know we have 76 peach juices and the ratio is 4, so we get 19.  This means that 19=x.  And then we multiply 19 by 3 and we get 57.  

Use the equation below to find v, if u = 24, a=7, and t=4.
v=utat
V=

Answers

Answer:

V=2688

Step-by-step explanation:

V = U * T * A * T

V= 24 * 4 * 7 * 4 = 2688

Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation

Answers

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

 

w = 120 + 5(h - 30).  

 

So, if he works 35 hours, he will earn:

 

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

 

If he works 42 hours, he will earn:

 

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

 

I hope this helps!

2 please help. i will give brainlies and 50 points. if you use my points without an answer i will have your account deleted and i will report you.

Answers

Answer: Area: 5808 Primiter: 308

Answer:

Answer: A-Area: 5808 Primiter: 308

B-Area is needed

Step-by-step explanation:

A graph of a system of two equations is shown. HELP!!!!!

Answers

Answer:

8 and 2

Step-by-step explanation:

8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.

Which symbol correctly compares the fractions below?
2/5 ? 7/10

Answers

Answer:

2/5 < 7/10

I think this is it

Answer:

2/5 < 7/10

The least common denominator is 10 so if you do 5*2 = 10 and 2*2 = 4 then compare it to 7/10, it would be less than because 4/10 is not greater than 7/10.

In the triangle shown, determine Angle A to the nearest degree.
A
12 m
10 m
R
M

Answers

Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:

Step-by-step explanation:

Please help me with this

Answers

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!!

PLEASE HELP ASAPPPP!!!!!!!!

Answers

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

If the loss incurred on selling an article is 7/20 of the cost price, then find the loss percentage.​

Answers

Answer: The loss percentage = 65%

Step-by-step explanation:

Let x be the cost price.

As per given,

Selling price = [tex]\dfrac{7}{20}x[/tex]

Loss =Cost price - Selling price

[tex]=x-\dfrac{7}{20}x\\\\=\dfrac{20-7}{20}x\\\\=\dfrac{13}{20}x[/tex]

The loss percent = [tex]\dfrac{loss}{Cost\ price}\times100[/tex]

[tex]=\dfrac{\dfrac{13}{20}x}{x}\times100\\\\=\dfrac{13}{20}\times100\\\\=13\times5\%\\\\=65\%[/tex]

Hence, the loss percentage = 65%

The volume of a sphere is 62,208π cubic centimeters. Find the radius

Answers

Answer:

The radius of the sphere is 36 centimeters.

Step-by-step explanation:

Given that the volume of a sphere is 62,208π cubic centimeters, to find the radius the following calculation must be performed, knowing that the formula to obtain the volume of a sphere is V = 4/3 π x radius³:

62,208 x 3.14 = 4/3 x 3.14 x X³

195,333.12 = 4/3 x 3.14 x X³

195,333.12 = 4.18666 x X³

195,333.12 / 4.18666 = X³

46.656 = X³

³√ 46,656 = X

36 = X

Therefore, the radius of the sphere is 36 centimeters.

What is the 12th term of the geometric sequence if a1= 30 and r=4.

Answers

Answer:

         a₁₂ = 30·4¹¹ = 15·2²³

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]

Which fraction is equivalent to the fraction below?
18/24

Answers

Answer:

6/8 , 12/16 , 48/64

Step-by-step explanation:

6/8 12/16 48/64 is the answers if you need more reply

f(3) = 12 for a geometric sequence that is defined

recursively by the formula f(n) = 0.5 ∙ f(n – 1), where

n is an integer and n > 0.

Write the equation in explicit form.



Answers

Answer:

[tex]f(n) = 96 * 0.5^n[/tex]

Step-by-step explanation:

Given

[tex]f(3) = 12[/tex]

[tex]f(n) = 0.5 * f(n-1)[/tex]

Required

Write as an explicit function

When n = 3, we have:

[tex]f(3) = 12[/tex]

[tex]f(3) = 0.5 * f(3-1)[/tex]

[tex]f(3) = 0.5 * f(2)[/tex]

Substitute: [tex]f(3) = 12[/tex]

[tex]12 = 0.5 * f(2)[/tex]

Solve for f(2)

[tex]f(2) = 12/0.5[/tex]

[tex]f(2) = 24[/tex]

So, we have;

[tex]f(3) = 12[/tex]

[tex]f(2) = 24[/tex]

Since it is a geometric sequence, calculate the common ratio (r)

[tex]r = \frac{f(3)}{f(2)}[/tex]

[tex]r = \frac{12}{24}[/tex]

[tex]r = 0.5[/tex]

Calculate the first term using:

[tex]r = \frac{f(2)}{f(1)}[/tex]

Solve for f(1)

[tex]f(1) = \frac{f(2)}{r}[/tex]

[tex]f(1) = \frac{24}{0.5}[/tex]

[tex]f(1) = 48[/tex]

The explicit function is then calculated as:

[tex]f(n) = f(1) * r^{n-1[/tex] ----nth term of a gp

[tex]f(n) = 48 * 0.5^{n-1[/tex]

Split the exponent

[tex]f(n) = 48 * \frac{0.5^n}{0.5^1}[/tex]

[tex]f(n) = 48 * \frac{0.5^n}{0.5}[/tex]

[tex]f(n) = 96 * 0.5^n[/tex]

answer 2x + 5 = 4x - 5

Answers

Answer:

QUESTION:

answer 2x + 5 = 4x - 5

ANSWER:

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

x = 5

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer:

x = 5

Step-by-step explanation:

2x + 5 = 4x - 5  

First you will need to add 5 to each side.

2x + 10 = 4x

Then you need to subtract 2x to each side.

10 = 2x

Lastly, you will need to divide each side by 2.

5 = xHave a nice day!

Solve. 40 = -10x + 20

Answers

X=-2 hope this helped :)

Answer:

hi

Step-by-step explanation:

40= -10x+20

40-20= -10x

20= -10x

x=20/-10

x=-2

hope it helps

have a nice day

Help!! Solve 1 1/4 + 5 5/6

Answers

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

Volume? Correct answers please

Answers

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!

Since we are giving the diameter (14) we must divide by 2 to find the radius.

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π [tex]7^{2}[/tex] (9)

We have to distribute pi to 7 square that term and then multiply the value by 9.

V = 1385.44

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

multiply and find the volume

Answers

Answer:

195 cubic centimeters (cm^3)

Step-by-step explanation:

sorry it's late

1) Which of the following expressions has a constant of 7 and a coefficient of 3? 3117 73 7 +3 3 + 72​

Answers

Answer: 3x+7

Step-by-step explanation:

in a school the number of girls exceeds the number of boys by 15%. Find the ratio of the numbers of boys to girls?​

Answers

Answer:

2 : 3 is the correct answer

Step-by-step explanation:

happy to help :)

Please help ASAP thanks:)!!!!!

Answers

Answer:

I think its

Step-by-step explanation:

left second one

If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!

Answers

Answer:

Is A.

Step-by-step explanation:

22 < 7x+57

7x+57>22

7x>-35

x>-5


Find the arc length. Leave your answer in terms of pie no links

Answers

Answer:

7/2[tex]\pi[/tex]

Step-by-step explanation:

I NEED HELP ASAPP!!
Jefferson is working on a planting a garden and set up a coordinate system with units of feet to mark where he wants to plant vegetables. He plants carrots at (–4, 4) and at beans at (4, –2). How far apart are the carrots and beans?

Answers

Answer:

They are 6 feet apart.

Step-by-step explanation:

d = (√(x2-x1)^2 + (y2-y1)^2)

d = (√(-4-4)^2 + (4-(-2))^2)

d = (√0 + 36)

d = √36

d = 6

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

i need help with this

Answers

Answer:

1695.6

Step-by-step explanation:

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