Answers
Answer: A; r = square root (S/4pi)
Step-by-step explanation:
1. Divide 4pi on both sides to get r^2 by itself so the left side becomes S/4pi (you do this because 4, pi, and r^2 are being multiplied together on the right side in the original equation so to cancel that out and get r by itself you do the opposite of multiplication)
The equation should now look like r^2 = S/4pi
2. Square root both sides including r to get rid of the r^2 so it becomes just r (also when you square root both sides, you square root all of S/4pi not just S or 4pi but the whole thing)
After you do that, you get r = square root (S/4pi) which is answer A
Hope this helps! :)
Related Questions
Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve an equation to find the number of cars he needs to wash to reach his goal.
Answers
Answer:
Albert needs 32 cars to wash to reach his goal.
Step-by-step explanation:
We know that the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
It is stated that Albert needs $133 to buy a new hard drive.
Let 'y' be the amount Albert needs.As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.
As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.
Let 'x' be the number of cars he needs to wash to reach his goal.
Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function
y = mx+b
133 = 4.75x - 19
133+19 = 4.75x
152 = 4.75x
x = 152 / 4.75
x = 32
Therefore, Albert needs 32 cars to wash to reach his goal.
write the following as a fraction in simplest form and as a decimal:
143%
6%
1/2%
1.9%
3/4%
Answers
Answer:
1.43
0.06
0.005
0.019
0.0075
Step-by-step explanation:
143% = 143/100 = 1 whole 43/100 = 1.43
6% = 6/100 = 3/50 = 0.06
1/2% = 0.5% = 0.5/100 = 1/200 = 0.005
1.9% = 1.9/100 = 19/1000 = 0.019
3/4% = 0.75/100 = 75/10000 = 3/400 = 0.0075
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?
Answers
Answer:
18%
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
Amy said 49 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A.
0.49
B.
0.444
C.
0.444
D.
0.49
Answers
Help pls fast I really need help
Answers
Answer:
104
Step-by-step explanation:
13x4x2
Answer:
104 cubic inches
Step-by-step explanation:
please help it's the SLOPE
Answers
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Please see the attached picture.
[tex]slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} [/tex]
☆In the gradient formula,
(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.
The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.
Answers
Answer:
No. The lines do not seem to intersect.
Step-by-step explanation:
When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)
Answer:
The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.
Does the system appear to have a solution after the changes?
✔ No. The lines do not seem to intersect.
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
Answers
Y = 4x + b
Plug in the point
1 = 4(-3) + b
1 = -12 + b, b = 13
Solution: y = 4x + 13
Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y = mx+b
Answers
y = 3x + 2 this is the answer if I am right
Please solve and thanks!
Answers
Answer:
1/14(the first one)
Step-by-step explanation:
susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Answers
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?
Answers
9514 1404 393
Answer:
400
Step-by-step explanation:
If x represents the number of employees a year ago, the current number is ...
x + 0.33x = 53,200
x = 53,200/1.33 = 400
The company had 400 employees a year ago.
What is another way to express 48 + 32?
(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)
Answers
Answer:d
Step-by-step explanation: tufryvztgv
-4.8 (6.3x-4.18)=-58.56 what is x?
Answers
Answer:
x = 2.825
Step-by-step explanation:
-4.3(6.3x + -4.18) = -58.56
-4.3(-4.18 + 6.3x) = -58.56
(-4.18 * -4.3 + 6.3x * -4.3) = -58.56
(17.974 + -27.09x) = -58.56
17.974 + -27.09x = -58.56
17.974 + -17.974 + -27.09x = -58.56 + -17.974
0.000 + -27.09x = -58.56 + -17.974
-27.09x = -58.56 + -17.974
-27.09x = -76.534
x = 2.825175341
Find the slope of (-1,4) and (5, 7)
Answers
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 4)
Point (5, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-4}{5+1}[/tex]Subtract/Add: [tex]m=\frac{3}{6}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Solve for x in the parallelogram
Answers
See attachment for math work.
YOU GET 100 POINTS plus BRALLIST!!!
PLEASE DON'T SCAM OR TROLL ME BECAUSE I WILL REPORT YOU and you will lose double the points and will lose your account!
evaluate the following expressions.
a. −58.49−(−95.09)
b. −20.04−74.14
c. −9.73+6.48
d. −69.2+(−5.81)
e. 22.47+(−76.5)
GOOD LUCK!!!
Answers
Answer:
A. 36.6
B. -94.18
C. -3.25
D. -75.01
E. -54.03
Answer:
a. 36.6
b. - 94.18
c. - 3.25
d. - 75.01
e. -54.03
Step-by-step explanation:
Hope this helps, have a great day
Identify the constant of proportionality.
Answers
Answer:
14
Step-by-step explanation:
If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!
4. Mr. Edgett’s Algebra 2 class has both juniors and seniors. The ratio of juniors to seniors is 4:1. If he has 30 students in all, how many of them are juniors? i need answer helpp
Answers
Answer:
Step-by-step explanation:
4•6 = 246=? (24)30÷ 5= 6= 16= 3066665 units = 30WaterOther drinks1 unit = 16= 16JuniorsSeniors1 unit = 6= 16
Mr. Edgett has 24 juniors in his class.
Answer:
24
Step-by-step explanation:
Use the graph to write a linear function that relates y to x .
Answers
Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:
[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]
Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2
Taylor is checking her bank statement for the month of November. She began the month with $175 in her account. She made two deposits for $100 each and also made two withdrawals was for $55. Write an addition expression to represent this situation.
Answers
Answer:
The addition expression that represents the situation is;
175 + 100 + 100 - 55 -55
Step-by-step explanation:
Here, we want to write an addition expression to represent the situation
While the deposits are considered positive, the withdrawals are considered negative
So the addition expression will be;
175 + 100 + 100 - 55 - 55
4x - 2y = 5 and y = 3x - 1
Answers
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Factorise
a) (2+2) a) x2 -11x + 28
b) 6x2 -5x – 4
Answers
Answer:
6264
Step-by-step explanation:
(2+2)×2-11×+28 6×2
= 6264
Answer:
I...what kinda question is dis
Gayle made a
baby quilt using 24 equal squares. What
are the dimensions of 1 square? Describe
two different ways to find the answer.
Answers
Answer:
[tex]Measurement = 0.75ft[/tex]
Step-by-step explanation:
See attachment for complete question
Method 1:
Considering the width and length of the quilt
Given
[tex]Number\ of\ squares = 24[/tex]
Required
Determine the dimension of 1 square
The width of the quilt is 4.5ft and there are 6 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{4.5ft}{6}[/tex]
[tex]Measurement = 0.75ft[/tex]
Or
The length of the quilt is 3ft and there are 4 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{3ft}{4}[/tex]
[tex]Measurement = 0.75ft[/tex]
Method 2:
Calculate the area of the quilt.
[tex]Area = 4.5ft * 3ft[/tex]
[tex]Area = 13.5ft^2[/tex]
The area of 1 of the 24 squares is calculated by dividing the total area by number of squares
[tex]Area = \frac{13.5ft^2}{24}[/tex]
[tex]Area = 0.5625\ ft^2[/tex]
Represent the dimension of individual square with L
Area of a square is:
[tex]Area = L * L[/tex]
This gives:
[tex]L * L = 0.5625[/tex]
[tex]L^2 = 0.5625[/tex]
Take square root of both sides
[tex]L = \sqrt{0.5625[/tex]
[tex]L = 0.75ft[/tex]
Hence, the dimension of each square is 0.75ft
HELP PLEASEEEE<3!!!!
Answers
Answer:
a = b = 40°
Step-by-step explanation:
∠ a and 140° are adjacent and are supplementary , thus
a = 180° - 140° = 40°
a and b are alternate angles and are congruent, thus
b = a = 40°
Answer:
b=40 okkkkllllllkkkkkkkkkkkkkkkkkkkkkllllllkkkk
Answer this question and if right ill make branilliest
Answers
Answer:
I think that removing (1, 3) would make the most sense
Answer:
(1,3)
Step-by-step explanation:
Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.
Use the functions
f(x) or g(x) to
answer the
following:
Function f(x) has the equation f(x) = 3x – 4.
Function g(x) has the table of values shown
below.
Which y-intercept
is smaller and how
do you know?
x|g(x)
0] 4
3 5
6 6
9 7
14
Answers
Answer:
3 5
Step-by-step explanation:
It just is trust
Round 545 to the nearest hundred
Answers
Answer:
500
Step-by-step explanation:
Answer:
500
When rounding to the nearest hundred, like we did with 545 we use these rules
first you would have to round the number up to the nearest hundred if the last two digits in the number are 50 or above.
then you would have to round the number down to the nearest hundred if the last two digits in the number are 49 or below.
lastly you would have to see if the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
1) Veronica's new car requires 12 gallons of gas to run for 100 miles. The
gas' price is $2.20 per gallon. How much will Veronica spend on gas on a
trip from Houston to Austin (160 miles). Round your answer to the
nearest cent (HUNDREDTH)
Answers
whats 80-40=
im dum answer this now.
Answers
Answer:
1010101001001010010100010100101011010101011010101101010100101010101001*****Error*****(bsys2EVRYBODY7dgheHATESjsdjhdjMEndbndnd822b3)*****Error*****
Step-by-step explanation:
Answer:
40 Thnxxx soooo muchhh really appreciate ittt