Answer:
the answr is option 4 or also known as b
Step-by-step explanation:
Which equation is the BEST fit for the data in the table?
Answer:
C
Step-by-step explanation:
It cannot be A because it is a parabola, and what that means is the x^2. So, we can immediately eliminate that. This is because if you do a sketch of it it was the "U" shape. I am not positive, but I think that it is C because of the pattern going on in the y-coordinate. It goes +2, +4, then presumably +6. So then the (0,y) is (0,12). This would mean that the equation would end with +12. That is why C is the best choice. I hope that answered your question, and is correct!
the town libary is raising money by selling old books for 4$ each write an equation that can be used to find the amount of money raised if the number of books sold is known.Let x represent the number of books sold and y represent the amount raised.
Answer:
6550
Step-by-step explanation:
You can put this solution on YOUR website!
Call the number of hardcover and paperback books, h and p.
Thus
h + p = 8 and the value equation is
4h + 2p = 26
Now multiply the top one by four and subtract from the second one...we get
4h + 2p = 26
-(4h + 4p = 32)
----------------
-2p = -6
p = 3 so that
h = 5 x + y = 8, (1)
4x + 2y = 26, (2)
where x and y are the numbers of hardcover and softcover books respectively.
To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get
4x - 2x = 26 - 16, or
2x = 10, or x = 5 - the number of hardcover books purchased.
Then from the equation (1) you get y = 3.
Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.
Which graph represents the function ) = -2-1
Answer:
negative 3
Step-by-step explanation:
Mark brainlest
Epert verifyied
A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 313131 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data set.
Answer:
3.5
Step-by-step explanation:
1 / 3
First, let's find the mean.
\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}
4
26+31+39+32
=
4
128
=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text
Hint #22 / 3
Next, let's find the distance each data point is from the mean.
Data point Distance from the mean
262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6
313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1
393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7
323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0
Hint #33 / 3
The mean absolute deviation (MAD) is the mean of the distances from the mean.
\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}
4
6+1+7+0
=
4
14
=3.5 putts I hope it helps.
Which function will have a y-intercept at –1 and an amplitude of 2?
f (x) = negative sine (X) minus 1
f (x) = negative 2 sine (x) minus 1
f (x) = negative cosine (x)
f (x) = negative 2 cosine (x) minus 1
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
[tex]h(x)=A\sin (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
The general form of cosine function
[tex]h(x)=A\cos (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
In function, [tex]f(x)=-\sin x-1[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : -1
In function, [tex]f(x)=-2\sin x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
In function, [tex]f(x)=-\cos x[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : 0
In function, [tex]f(x)=-2\cos x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
B
Step-by-step explanation:
edge2020 quiz
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ASAP
Answer:
7x=42
Solve:
7x=42
7x=42/7
/7
x = 6
6 is the maximum cost lisa can spend for each party favor bag.
What is the product of 2x + y and 5x – y + 3?
Answer:10x^2+11xy-6y^2
Step-by-step explanation:
( 2 x + 3 y ) ( 5 x − 2 y ) = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )
= 10 x 2 − 4 x y + 15 x y − 6y 2
= 10 x 2 + 11 x y -6 y 2 .
Find the mean,median and range of the following list of values and choose the correct result.
8, 9, 10, 10, 10, 11, 11, 11, 12, 13
Mean: 10.5
Median: 10.5
Range: 5
--------------------------------------------
To find the mean you order the numbers then add then divide.
Add
8+9+10+10+10+11+11+11+12+13=105
Divide
105÷10=10.5
Mean = 10.5
--------------------------------------------
Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.
the middle number is 10.5 so therefore it is the median.
--------------------------------------------
To find the range you subtract the biggest number to the smallest number.
Subtract
13-8=5
Therefore 5 is the range
Answer:
The median is 10.5 the range is 5 and the mean is 10.5
Step-by-step explanation:
To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5
Please do this for points and brainleyst awnser
Joseph's company offers a reimbursement package of $0.45 per mile plus
$175 a year for maintenance. If x represents the number of miles, which
equation below models C the total amount of reimbursement the company
offers?
•A. C = 0.45 + 175x
•B. C = 0.45x + 175
•C. C = 45 + 175x
•D. C = 45x + 175
Answer:
B
Step-by-step explanation:
175 is the yearly cost which is the constant
The cost is related to the miles so that’s why they’re multiplied together
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.
Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,
C = 0.45x + 175
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Find def, help geometry
Answer:
d
Step-by-step explanation:
Shane wrapped the kite with paper. How many square inches of paper did Shane use to cover the front and back? 45 POINTS
Answer:
576
Step-by-step explanation:
First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.
Answer:
576
Step-by-step explanation:
Which expression is equivalent to ? Assume that the denominator does not equal zero.
Answer:
A) 4ab^2
Step-by-step explanation:
19*4 = 76
(a^2*b^3)/(a*b) = a*b^2
Implies, option A.
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
a pitcher contains 17.5 cups of iced tea. you drink 0.75 cup of tea each morning and 1.75 cups of tea each evening. when will you run out of iced tea?
Answer:
7 days
Step-by-step explanation:
Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.
The total number of cups drank per day is:
= 0.75 + 1.75
= 2.5 cups
With 2.5 cups being drank per day, the pitcher would last:
= Pitcher quantity / Cups per day
= 17.5/2.5
= 7 days
In conclusion, you will run out after 7 days.
Find out more at https://brainly.com/question/13426420.
the inverse of this equation
Answer:
[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Step-by-step explanation:
[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Which operation should be done first in the expression below? 13 − 2 • 16 + 2
Answer:
Multiply (2 * 16)
Step-by-step explanation:
Our expression is 13 - 2 * 16 + 2. The two operations used here are addition (+) and multiplication (*).
Remember order of operations PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
We see that multiplication comes before addition, so we multiply 2 by 16 first:
13 - 2 * 16 + 2
13 - 32 + 2
Thus, the answer is multiply.
~ an aesthetics lover
Answer:
multiply
[tex](2 \times 16)[/tex]
Step-by-step explanation:
you have to do this sum according to BODMAS Theorem
B - bracketsO - orD - DivisionM - MultiplyA - additionS - subtractso,
[tex]13 - 2 \times 16 + 2 \\ 13 - 32 + 2 \\ 13 - 30 \\ = ( - 17)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Anna takes 2 minutes to perform each exercise of her workout routine at the gym. She has already been at the gym for 20 minutes and wishes to be there no longer than 1 hour in total. Anna wonders if she has time to do 18 more exercises.
(1.) Write an inequality to find the maximum number of exercises x Anna can perform without leaving the gym later than she planned.
(2.) Does Anna have time to do 18 more exercises. Explain.
Answer:
1. 20 + 2x ≤ 60
2. Yes, see explanation
Step-by-step explanation:
Let x equal the amount of exercises Anna can perform.
The inequality will look like this:
20 + 2x ≤ 60
Let's go over each of the values and why there in the equation.
20: The amount of minutes Anna has already spent in the gym
2: The amount of minutes per exercise
x: The amount of exercises Anna can perform
≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.
60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.
Now, plug in 18 for x for question 2.
20 + 2(18) ≤ 60
Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.
Evaluating 20 + 36, the inequality becomes 56 ≤ 60.
Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.
Question 1 of 10
2 Points
Harry took out an 80/20 mortgage to buy a house costing $175,000. The first
(80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
A. $730.31
B. $975.63
C. $245.32
D. $805.87
Answer:
Its b got it correct
The total monthly mortgage payment for the house is $975.63
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
The principle amount is $175000
80% of 175000 is = = $140000
20% of 175000 is = = $35000
Emi formula is :
p*r*(1-r)^n/(1-r)^n-1
For 1st part:
p = 140000
r = 4.75/12/100=0.00395
n = 360
Putting values in formula we get
= $729.508
For 2nd part:
p = 35000
r = 7.525/12/100=0.00627
n = 360
Putting values in formula we get
= $245.301
Adding both the monthly payments:
974.809 dollars
This is closest to option A.
So, option A is the answer.
And for 30 years the mortgage payment will be = 351226.80 dollars
Hence, The total monthly mortgage payment for the house is $975.63.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ5
Suppose the length of an oarfish is normally distributed with a mean of 6.5 m and a standard deviation of 1.5 m. Which group describes 16% of the oarfish population? Select each correct answer. oarfish that are between 6.5 m and 9.5 m oarfish that are shorter than 5 m oarfish that are between 3.5 m and 9.5 m oarfish that are longer than 8 m
Answer:
Step-by-step explanation:
Let x be the random variable representing the length of an oarfish. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
The given probability value is 16% = 0.16. From the normal distribution table, the z score corresponding to the probability value is - 0.99
This indicates that the sample mean is lower than the population mean
Therefore,
- 0.99 = (x - 6.5)/1.5
- 0.99 × 1.5 = x - 6.5
- 1.5 = x - 6.5
x = - 1.5 + 6.5
x = 5m
The correct answer is
oarfish that are shorter than 5 m
Answer:
oarfish that are shorter than 5
oarfish that are longer than 8 m
I Just took the test!
NEEED HELP NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place
Answer:
the answer for the volume of the cylinder is V≈25.13in³
Answer:
h=2 d=4
r=4/2 , radius is half of the diameter
r=2
V=π r^2h
V= π x (2)²×2
substitute variables into formula V=25.132741228718
the nearest tenths place V=25.1 inches
I need to find x in the angle
Answer:
88
Step-by-step explanation:
you do 120-32
Answer:
x = 58 degrees
Step-by-step explanation:
angle x and the 32 degree angle add up to 90 degrees.
so 90 - 32 = 58 degrees
The original cost of Sam’s investment is 10,000 after liquidating investment Sam calculate Israel we tried to be 10,700 what is the return on investment ROI the ROI on Sams investment is what percent
Answer:
The return on investment in dollar terms is $700
The return on investment as a percentage of cost of investment is 7%
Step-by-step explanation:
The return on investment is the value of the investment when liquidated minus the initial amount invested
Liquidated amount is $10,700
initial cost is $10,000
return on investment in dollar terms=$10,700-$10,000=$700
return on investment in % terms=dollar return on investment/initial cost of investment
dollar return is $700
initial cost of investment is $10,000
return on investment in % terms=$700/$10,000=7%
What is the solution to the equation = 3?
x = 1
x = 3
x = 9
x = 27
Multiply both sides by 9.
x/9 = 3
(x/9) * (9) = (3) * (9)
x=27
The solution of the expression x/9 = 3 is,
⇒ x = 27
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ x/9 = 3
Now, Simplify the expression as;
⇒ x/9 = 3
Multiply by 9, we get;
⇒ 9 × x/9 = 9 × 3
⇒ x = 27
Thus, The solution is,
⇒ x = 27
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
c is 120 degrees
Solve for Q. Reduce any fractions to lowest terms. Don’t round your answer, I don’t use mixed fractions.
50q + 43 > -11q +70
Answer:
q > 27/61
Step-by-step explanation:
50q + 43 > -11q +70
Add 11 q to each side
50q+11q + 43 > -11q+11q +70
61q +43 > 70
Subtract 43 from each side
61q+43-43 > 70-43
61q > 27
Divide each side by 61
61q/61 >27/61
q > 27/61
Answer:
q > 27/61
Step-by-step explanation:
hope this helps!!
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction 0 1 2 3
Answer:
a. 0
Step-by-step explanation:
hope this helps!
The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, 9/(n²+1) = (n+3)/4.
Here, 9×4=(n²+1)×(n+3)
36=n²(n+3)+1(n+3)
36=n³+3n²+n+3
n³+3n²+n+3-36=0
n³+3n²+n-33=0
The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.
Dividing both sides of the equation by n-1, we get:
n²+3n+33/(n-1)=0
Factorizing the numerator, we get:
(n+11)(n+3)=0
Solving this equation, we get n=-11 and n=-3.
Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
I really need to solve this quick.
Answer:
a)
Theoretical: 10/30 = 1/3
Experimental: 12/30 = 6/15
Step-by-step explanation:
the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2
30 ÷ 3 = 10
the theoretical probability = 10/30 or simplified 1/3
the experimental probability is the result when one of the numbers from
1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15
Theoretical:
fraction: 1/3
decimal: 0.33∞
percentage: 33%
Experimental:
fraction: 6/15
decimal: 0.4
percentage: 40%
I hope this was helpful :-)
Sam is transferring files from his friend's laptop into his flash drive. This is the formula for the size of the files on Sam's friends drive S (measured in megabytes) as a function of time t (measured in seconds): S(t)=5t+45
Use the above information to answer the following:
When the transfer began the drive had___ megabytes of files on it
Every 10 seconds, an additional___ megabytes are transferred into the drive.
Answer:
1. 45 megabytes
2. 50 megabytes
Step-by-step explanation:
Given
S(t) = 5t + 45
Required
Find S(t) when the transfer began
And find the additional transfer size at interval of 10 seconds
When the file transfer initially began, the value of t is 0.
Given that S(t)=5t+45.
Substitute 0 for t
S(0)=5 * 0 + 45
S(0) = 0 + 45
S(0) = 45.
Hence, the hard drive had 45 megabytes on it when the transfer started.
At every interval of 10 seconds. We take t to be 10, 20, 30...seconds
When t = 10
S(t)=5t+45 becomes
S(10) = 5(10) + 45
S(10) = 50 + 45
S(10) = 95 megabytes
When t = 20
S(t)=5t+45 becomes
S(20) = 5(20) + 45
S(20) = 100 + 45
S(20) = 145 megabytes
When t = 30
S(t)=5t+45 becomes
S(30) = 5(30) + 45
S(30) = 150 + 45
S(30) = 195 megabytes
Calculating the difference
Difference = S(30) - S(20) or S(20) - S(10)
Difference = 195 - 145 or 145 - 95
Difference = 50 or 50
See that the difference is the same.
So, at every 10 seconds interval, there's an additional 50 megabytes transferred