The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
Learn more about proportional relationship variable here:
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The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele
Answer:
1001 m/s
300 [tex]m/s^2[/tex]
0.299.
Step-by-step explanation:
Given that:
[tex]D=f(t)=t^3+1[/tex]
[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].
[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]
To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.
Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:
[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]
[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]
Relative rate of change:
[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]
What is the blank answer?
Answer:
you.. need to provide a picture
Step-by-step explanation:
Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.
number of weeks: w is the x value, and the number of money saved: m is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)
3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.
Answer:
well you could do 26 groups of 6 people
Step-by-step explanation:
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
Can y’all answer the middle one Ill mark you brainlist.
Answer:
4.44 infinet
Step-by-step explanation:
If you are asking and need to round it up it will come up to
4.444
You need to round it up because the 4.444 goes on and on infinitely.
If you needed another answer comment what it is you need and I will answer you on there.
YW
(5x + 2) 6x
Solve for x and y
X =
y =
Answer:
x = 8
y = 138
Step-by-step explanation:
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Answer:
its A
Step-by-step explanation:
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)
Answer:
It’s the 2nd,3rd,and 4th
Step-by-step explanation:
I just took the quiz
Answer:
2,3,4
Step-by-step explanation:
What is the length of the missing side of this triangle? *
Answer:
8.9
Step-by-step explanation:
- there are two given sides and its a right angle triangle so you can use pythagoras
- 12^2 = 8^2 + y^2
- rearrange
y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]
y = 8.9
whats5666778877 x 81 + 1
Answer: 459009089038
Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...
HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.
Divide the binomial by the monomial to find the quotient.
Answer:
9x²-36[tex]y^{5}[/tex]
Step-by-step explanation:
PLEASE HELP ASAP
Use trigonometry to resolve the following vectors into components. Describe the vectors
using vector notation.
Help plssssssssssssssss
Answer:
less than 5
Step-by-step explanation:
im pretty sure
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.
2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = -4(x - 2)(x - 4) [/tex]
[tex]y = -4 {x}^{2} + 24x - 32 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The expression for the quadratic function will be y = -4x² + 24x - 32.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-
The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).
y = -4(x-2)(x-4)
y = -4x² + 24x - 32.
Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.
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Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).
Answer:The other endpoint is at ( − 4 , 3 )
Explanation:
The line segment passing through ( − 4 , 9 ) and ( − 4 , 6 )
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint i.e. at ( − 4 , ( 6 − 3 )
Step-by-step explanation:
I need help solving this
Answer:
It's D.
Step-by-step explanation:
31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31
Answer:
D) 31
Step-by-step explanation:.
It is a right angle. All right angles equal 90°. So the two angles add up to 90
90= 63 + x - 4
Add 4 to each side
94 = 63 + x
Subtract 63 to each side
31 = x
Which equation has a constant of proportionality equal to 1/2?
Answer:
y=1/2x or y=.5x
Step-by-step explanation:
What is the percent?
32/80 = %/100
Answer: 40% OUT OF 100
What is the value of z in the equation 5(2z+4)
Answer: z = -2
Step-by-step explanation:
5(2z + 4) = 0
10z + 20 = 0 [distributive property]
10z = -20 [carry over the 20]
z = -2 [divide]
please help i’m begging you i’ll give brainlu
Answer:
3 X 5.25 + 2 X 2.00 + 2.25 = 15.75 + 4.00 + 2.25 = $22.00
What is mA?
Enter your answer in the box.
Answer:
X=3.75
Step-by-step explanation:
A=24.25
I guess
In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out
Complete question is;
In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.
How much money should be in the account using the FV formula?
Answer:
FV = $107.78
Step-by-step explanation:
We are given;
Present value; PV = 100
Interest rate; r = 0.25% = 0.0025
We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .
This is a period of 30 years.
Thus, the number of compounding periods is n = 30
Formula for FV is;
FV = PV(1 + r)ⁿ
FV = 100(1 + 0.0025)^(30)
FV = $107.78
.............helppppppppppppppppppp
Answer:
what????????????????
Answer: I think its A
Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.
pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)
HOW MANY WOULD BE IN EACH GROUP?
Answer:
carrot
Step-by-step explanation:
give me brainlyist i never got it pls bt i have snap if you want im a girl
Free Brainlyest for who says bababoi first
Answer:
bababoi .. yay I did something
Answer:
bababoi
Step-by-step explanation:
bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi
Which linear inequality is represented by the graph?
PLEAe help
Answer:
The answer to your problem is the last option