Answers
The {-4, 0, 1} represents members of the domain of the graphed function.
What is the domain of the function?
A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.
A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.
The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.
The range refers to the outputs which are actually used.
We have,
collection of the ordered pairs represents a function:
{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)
a) Domain of the function is:
{ -2, -3, 0, 1/2, 1, 4, 100}.
b) Range of the function is:
{ 0, 9/5, 10, 19, 77, 100}.
Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77, 100}.
To learn more about the domain of the function visit,
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Related Questions
Lesson 18: Exponentials Unit Test Algebra 1 B Unit 5: Exponentials
What is the value of the function? f(x)=(−2)3(3)0(4)−2
−3/2
0
−3/4
−1/2
Simplify the expression (45y5y744y9)2
This is a 17 question test those are the first 2 please try and find all 17 you have the title first to give all 17 will get brainlist
Answers
Answer:
search mo po sa goggle
Answer:
id k the first one
Simplify the expression (45y5y744y9)2 =
90[tex]y^{758}[/tex]
I don’t get this I need help if you get it right I will mark you as brainlest
Answers
Answer:
Step-by-step explanation:
HELP PLEASE! I WILL GIVE BRAINLIEST
Answers
Answer:
13.89
Step-by-step explanation:
A^2+B^2=C^2
7^2+12^2=C^2
193 = C^2
193 square root = 13.89
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
Answers
Answer:
P=646
R=5%
T=2yrs
I=?
I=PRT/100
I= 646*5*2/100
I= 64.6
Step-by-step explanation:
Answer:
the answer is 100
Step-by-step explanation:
646 X 5 IS 3000
3000/5 is 600
and then round tenth so its 10
600/10 is 60
60 + 40 = 100 and there you go bravo
In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain constant. The death rate is projected to increase from 56 million per year in 2012 to 80 million per year in 2040 and to continue increasing at the same rate.
(a) Assuming the death rate increases linearly, write a differential equation for P(t), the world population in billions t years from 2012.
(b) Solve the differential equation.
(c) Find the population predicted for 2050.
Answers
Answer:
[tex](a)\ \frac{dP}{dt} = 0.078- 0.000857t[/tex]
[tex](b)\ P = 0.078t- 0.0004285t^2 + 7.02[/tex]
[tex](c)\ 9.37\ billion[/tex]
Step-by-step explanation:
Given
In 2012
[tex]P(t) = 7.02\ billion[/tex]
[tex]R_1 = 134\ million/year[/tex] --- Birth rate
[tex]R_2 = 56\ to\ 80[/tex] -- Death rate from '12 to '40
Solving (a): Equation for population from 2012
In 2012, we have the addition in population to be:
[tex]\triangle P= Birth - Death[/tex]
[tex]\triangle P= 134 - 56[/tex]
[tex]\triangle P = 78[/tex] million
From 2012 to 2040, we have the death rate per year to be:
[tex]Rate/yr = \frac{80 - 56}{2040 - 2012}[/tex]
[tex]Rate/yr = \frac{24}{28}[/tex]
[tex]Rate/yr = \frac{6}{7}[/tex] million/year
So, the differential equation is:
[tex]\frac{dP}{dt} = \triangle P - Rate/yr * t[/tex] where t represents time
[tex]\frac{dP}{dt} = 78 - \frac{6}{7} * t[/tex]
[tex]\frac{dP}{dt} = 78 - \frac{6t}{7}[/tex]
Express in millions
[tex]\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}[/tex]
[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]
Solving (b): The solution to the equation in (a)
[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]
Make dP the subject
[tex]dP = (0.078- 0.000857t)dt[/tex]
Integrate both sides
[tex]\int dP = \int (0.078- 0.000857t)dt[/tex]
[tex]P = \int (0.078- 0.000857t)dt[/tex]
This gives:
[tex]P = 0.078t- \frac{0.000857t^2}{2} + c[/tex]
[tex]P = 0.078t- 0.0004285t^2 + c[/tex]
Solve for c.
When t = 0; P = 7.02
So, we have:
[tex]7.02 = 0.078*0- 0.0004285*0^2 + c[/tex]
[tex]7.02 =0-0 + c[/tex]
[tex]7.02 =c[/tex]
[tex]c = 7.02[/tex]
So:
[tex]P = 0.078t- 0.0004285t^2 + c[/tex]
[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]
Solving (c): The population in 2050
We have:
[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]
In 2050, the value of t is:
[tex]t = 2050 - 2012[/tex]
[tex]t = 38[/tex]
So, the expression becomes
[tex]P = 0.078*38- 0.0004285*38^2 + 7.02[/tex]
[tex]P \approx 9.37\ billion[/tex]
WALLAHI HELP ME PLEASE
Answers
9514 1404 393
Answer:
(a) yes
Step-by-step explanation:
Put the numbers in for x and y and see if you get a true statement.
5 ≤ 2(4) +1
5 ≤ 9 . . . . . . true
The point is a solution.
Help a brother out pls
I have a f because of this assignment pls help
Answers
Answer:
error: "I was a newly caged animal that rushed about"
correction: "I was like a newly caged animal that rushed about"
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b^2 = c^2.
Answers
Answer:
c = 8.7 inches
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute in the known values for a and b (the order doesn't matter):
(4.8)^2 + (7.3)^2 = c^2
multiply 4.8 times itself, 7.3 times itself:
23.04 + 53.29 = c^2
76.33 = c^2
Now find the square root of both sides of the equation (square root of c^2 = c):
8.736= c
It says round to the nearest tenth, so c = 8.7 inches
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.
Answers
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Please help I will give brainlist thanks
Answers
Answer:
still need help?
Step-by-step explanation:
A nurse administers 25 milligrams of a drug to a patient. The amount of the drug, A, in milligrams, left in the patient after thours can be modeled by the function A(t) = 25e 0.354
How many hours will it take for the amount of the drug left in the patient to drop to 0.25 milligrams? Round your answer to the nearest tenth of an hour.
hours
Pls helppp
Answers
Answer:
heyy guyss how r u all I'm Aditya from. India I've changed my server to Ireland is this Ireland
Step-by-step explanation:
and plss guyss fo llo w me
Isaac's finish 7 heavy cleans every 5 minutes Ryan finish heavy 8 clean every 4 minutes how many more cleans did Isaac complete than
Ryan
Answers
Answer:
12 more cleans
Step-by-step explanation:
You need to make each person have done work the same amount of time that is a multiple of 4 and 5. The closest is 20. So multiply 5 to 8 cleans for Ryan and 4 to 7 cleans for Issac. 40 cleans for Ryan - 28 cleans for Issac = 12 more cleans for RYAN, not Issac.
Complete the sentence.
9 is 36% of
Answers
Answer:
3.24
Step-by-step explanation:
9 takes up 3.24 of 36%
Answer:
9 is 36% of 25
Step-by-step explanation:
36%×x=9
36/100×x=9
x=9×100/36
x=25
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answers
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Work:
[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]
6 8ths -2 8ths thanks please explain to
Answers
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answers
Can you please do the problem using the formula A(t)=pe^(rt).
20% of _____ is 18
what is the blank
Answers
Answer:
90
Step-by-step explanation:
an influencer had 400 subscribers in January. The number of subscribers have grown by a factor of 1.5 every month since then. write a sequence that represents the number of subscribers for the three months that followed (january through april)
Answers
Answer:
y=400(1.5)^4
Step-by-step explanation:
2 1/4 yd x 1/4 yd
stuck, please help
Answers
Answer:
9/16 yd^2
Step-by-step explanation:
2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2
What is y in this equation
Answers
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
Explanation/ none
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please
Answers
Answer: 58 .23
Step-by-step explanation:
Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Luis solved the following equation below: - x ^ 2 + 10x - 21 = y Line Line Line 1x = (- (10) plus/minus sqrt((10) ^ 2 - 4(- 1) * (- 21)))/(2(- 1)) 2x = (- 10 plus/minus sqrt(100 - 84))/- 2 3x = (- 10 plus/minus sqrt(16))/- 2 Line 4 x= -10 pm sqrt 4 -2 5x = (- 10 plus/minus 2)/- 2 Linedx = (- 10 + 2)/- 2 x = (- 10 - 2)/- 2 x = - 8/- 2 x = - 12/- 2 Line Line 7 Line 8 x = 4 x = 6 Did Luis solve the above function properly ? Justify why or why not and be specific (use the line numbers as reference
Answers
Answer:
Sorry try using the math tool.... it looks like a square root sign with a x inside of it! :)
[tex]\sqrt{x}[/tex] <-- pretty much like this one and is at the bottom of your brainly tab :)
It makes things clearer when it comes to these sort of things and eliminates things like, " plus/minus, sqrt, Linedx, 2 Line Line 7 Line 8x = 4x =6
Hope this helps :)
Step-by-step explanation:
Answer:
x = 7, x = 3Steps:
-x²+10x-21 = 0
x = (-10±√(10²-4×(-1)×(-21)))/2×(-1)
x = (-10±√(100-84))/-2
x = (-10±√16)/-2
x = (-10±4)/-2
x = (-10-4)/-2 , x = (-10+4)/-2
x = -14/-2 , x = -6/-2
x = 7 , x = 3
Luis did not solve the equation properly!
Please help I need it soon
Answers
Answer:
[tex](3 \times 12) + (3 \times 3 \times 0.5)[/tex]
Step-by-step explanation:
answer is 40.5 . please like my answer and brainliest me HSHSSHSHS
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480
How long did it take Jason to reach his maximum height?
Answers
Answer:
5 seconds
Step-by-step explanation:
I did the same question a while ago.
Ava read 126 books in 12 months. How many books per month did she read? Show your work
Answers
My question... please answer asap
Answers
Answer:
slope=1/4
y-intercept=3
y=.25x+3
Step-by-step explanation:
slope=rise over run so
slope=1/4
y-intercept is the value of y where the line crosses the y axis..
y-intercept=3
In y=mx+b form m is slope and b is y-intercept so...
y=.25x+3
Can someone pls help me with this question
Answers
Pls help,
Type the answers and leave each part as abcd so I don’t type it in wrong
I WILL MARK BRANLIST IF U GIVE ME AN ACTAUL ANSWER
Answers
Answer:
a
If they are vertical angles, they are equal.
5x - 24 = 3x + 24 Add 24 to both sides
5x -24 +24 = 3x + 24 + 24 Combine
5x = 3x + 48 Subtract 3x
5x - 3x = 3x-3x + 48 Combine
2x = 48 Divide by 2
x = 24
<A =5*24 - 24
<A = 96
Step-by-step explanation:
Trigonometric ratios can be used with any type of triangle.
O
True
O
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers
Answers
Answer:
Step-by-step explanation:
28 : 50 and 15 : 30
14 : 25 and 1 : 2 are not equivalent