The average rate of change of the function is -59.4
The formula for calculating the rate of change of the function is expressed as:
[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Given the function
[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]
Get the value of f(2)
[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]
Substitute into the formula to have:
[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]
Hence the average rate of change of the function is -59.4
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PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
Well according to the graph it took Elena 6 weeks to pay her brother back
Step-by-step explanation:
Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.
3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks
Forrest Lumber uses the function
S(t) = -75t + 675
to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 8 years B.11 years c. 9 years D.10 years please help
Answer:
C. 9 years
Step-by-step explanation:
For the saw to depreciate completely, the salvage value of the saw would be 0.
Set S(t) = 0 and solve for t
0 = -75t + 675
75t = 675
t = 675/75 = 9 years
Write an equation in
Slope - int form with the
given information
m=2, (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
apply point
4=2(3)+n
4=6+n
n=-2
y=2x-2
Geometry work pls help ASAP
Answer:
3321
Step-by-step explanation:
Which statement is true about the prime polynomial 2x2 + 3x + 3?
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
it cannot be modeled with a rectangle
Step-by-step explanation:
let's eliminate the wrong answers first
1. it cannot be modeled with all positive tiles --- this incorrect because it is all positive, so it CAN be modeled with all positive tiles
2. it can only be modeled with an odd number of tiles -- not true, because 2x^2 is even number of tiles
3. it can be modeled with a square -- to be modeled as a square, the polynomial have to be factored into square ie (x+2)², but cann't be factored as square, so again not true
therefore, first one is the answer. because you cannot factor the polynomial as such (x+2)(x+3), so it cannot be modeled with a rectangle.
Answer:
A: It cannot be modeled with a rectangle.
Step-by-step explanation:
100%
What is the Y-Int, Slope, and Slope-Intercept form? Need help!
At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:$2.95 $1.19 $4.61 $1.74 $3.04 $8.83 $1.16 − $0.75 (coupon) − $1.00 (coupon) The register gives your total bill as $21.77.
Answer:
0 is the best answer 12345
Find the length of side x to the nearest tenth.
х
600
30°
17
Answer:
5.3
Step-by-step explanation:
Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,
Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?
Answer: Tony has 70
kaitlin has 77 david has 79
Step-by-step explanation:
i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped
helpppp meeee mateeee
No, Yes, No, No
-6 = (w/9) - 1
add 1 both side
-5 = w/9
multiply 9 by both sides
w = -45
Answer:
I'm pretty sure -45 is the only answer out of all of those.
Write an equation for the line in slope intercept form
Answer:
y=4x+2
Step-by-step explanation:
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Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square root 18, 22.7 repeating 7
Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1
Answer:
it is D
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = − 1 . Horizontal Asymptote: y = − 1
I need help plz help me I am not good at math HELP
Answer:
600 boys
800 girls
Step-by-step explanation:
Ratio is 3:4
let total number of boys be x
3/4=x/1400-x
4x=3(1400-x)
4x=4200-3x
7x=4200
x=600
600 boys
1400-600 = 800 girls
a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her height at 1.5 second after diving off the springboard
Answer:
4.975 meters
Step-by-step explanation:
[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]
4.975 meters
-Chetan K
Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.
Using sampling concepts, it is found that the suitable populations are:
a) All Richmond residents.
b) Results of all coin tosses.
c) All pairs of the new type of tennis shoe.
d) The average time on all days is takes to drive from her suburban home to her midtown office.
An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.
The population is all Buffalo Bills fans.Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.
Item a:
Sample of 200 Richmond homes, hence, the population is all Richmond residents.
Item b:
Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.
Item c:
Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.
Item d:
Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.
A similar problem is given at https://brainly.com/question/25122507
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answer:
$557.5
Step-by-step explanation:
783/2
391.5 + 83 (more) =
557.5
someone please help me
Answer:
FOURTH ONE DOWN
Step-by-step explanation:
Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).
** also next time please take a better picture i had to squint my eyes so hard **
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
12>x>-7 is the dots on a number line open or closed
Answer:
its open
Step-by-step explanation:
i just did it
Solve the system of equations using elimination.
6y−4x=20−4y+3x=−12
(4, 6)
(−4, 6)
(−4, −6)
Answer: A. (4,6)
Step-by-step explanation: 2(6y−4x = 20) 3(−4y+3x = −12) −8x+12y = 40 9x−12y = −36 -8x+9x +12y-12y 40-36 x=4 6y−4x = 20 6y−(4)(4) = 20 6y−16+16 = 20+16 6y/6 = 36/6 y = 6 x = 4, and y = 6.
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
The given system of equations are 6y-4x=20 and -4y+3x=-12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)
Multiply equation (I) by 3, we get
-12x+18y=60 ----------(III)
Multiply equation (II) by 4, we get
12x-16y=-48 ----------(IV)
Add equation (III) and (IV), that is
-12x+18y+(12x-16y)=60-48
⇒ 2y=12
⇒ y=6
So, 6y-4x=20
⇒ 36-4x=20
⇒ -4x=-16
⇒ x=4
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
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Aspherical model of planet Earth has a radius of 3 ft. What is the approximate volume of the model of planet earth? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Answer:
113.1
Step-by-step explanation:
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what is the zero if the function ?
A -5
b. 2/5
c 2
d 5/2
The answer to that one is C
Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?
The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
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HELP PLZ !!
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)
Answer:D
Step-by-step explanation:
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough
Answer:
11 hours
Step-by-step explanation:
First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.
Need help answering this question for 30 points. ! :)
Answer:
g(- 1) = -2
Step-by-step explanation:
Given the rational function, [tex]g(x) = - \frac{21 + x}{10}[/tex]:
In order to evaluate and find the value of g(-1), simply substitute the input value into the given function.
[tex]g(x) = - \frac{21 + x}{10}[/tex]
[tex]g(-1) = - \frac{21 - 1}{10}[/tex]
[tex]g(-1) = - \frac{20}{10}[/tex]
g(-1) = -2
Therefore, the output value when g(- 1) is: g(- 1) = -2.
The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?
Answer:
1489
Step-by-step explanation:
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.