Answers
A(2L) = r/2L(2L) (multiply 2L to both sides to isolate r)
A(2L) = r is your answer
hope this helps
2L cancels itself out and the new equation is (A)(2L) = r.
Related Questions
M is the midpoint of CF for the points c(3,7) and f(5,5). Find MF
Answers
To find the length of MF, the distance formula is used after calculating the midpoint M of CF with coordinates C(3,7) and F(5,5), resulting in MF being √2 units.
Explanation:The question asks to find the distance MF, where M is the midpoint of segment CF given the coordinates of the points C(3,7) and F(5,5). To find the coordinates of M, we need to use the midpoint formula:
Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2)
Using the given points C(3,7) and F(5,5), we get:
M = ((3 + 5)/2, (7 + 5)/2) = (4, 6)
Now, we will use the distance formula to calculate MF:
Distance formula: D = √((x2 - x1)² + (y2 - y1)²)
Since M(4,6) and F(5,5) are the points in question, plugging in these values yields:
MF = √((5 - 4)² + (5 - 6)²) = √((1)² + (-1)²) = √(1 + 1) = √2
So, the length of segment MF is √2 units.
Kai calculates that he spends 75 minutes of a school day in science class. if he spends 500 minutes in school, what percent of his school day does kai spend it science class
Answers
=(3/20) x100
=15%
John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?
Answers
Hope this helps!
Answer:
Will be the second choice!
Step-by-step explanation:
This is because for 5hours is 100bucks correct?
So if we divide 5by100 it will equal 20.just like 5x20=10 we add and extra 0!
so 5x20=10.
How many significant digits are in 4.0×10^4
Answers
What is m∠PTS??????????
Answers
11(y-10) = 4y-5
11y-110 = 4y-5
7y -110 = -5
7y =105
y = 105/7 = 15
PTS = 11(15-10) = 11*5 = 55 degrees
Answer:
55
Step-by-step explanation:
We are given with two lines that intersects each other .
the vertical opposite angles are same.
So we equate the angles and solve for y
[tex]11(y-10)= 4y-5[/tex]
[tex]11y-110=4y-5[/tex]
Subtract 4y from both sides
[tex]7y-110=-5[/tex]
Now we add 110 on both sides
[tex]7y=105[/tex]
Now we divide by 7 on both sides
y=15
now we find m∠PTS
m∠PTS=[tex]11(y-10)[/tex]
Plug in 15 for y
m∠PTS=[tex]11(15-10)=55[/tex]
If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers
Answers
You set up a proportion
10mi/16km = 45mi/x
multiply 16 and 45
so you are left with 720 = 10x
x = 72
If you know that a line has a slope of 2/3 and a y-intercept of 7, what is the equation for that line in slope-intercept form?
Answers
the equation for a line is y = mx+b
m = slope
b = y intercept
you know the slope is 2/3 and the y intercept is 7 so just replace them in the equation:
y =2/3x +7
George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220. How many words did Bill's page contain initially?
Answers
George's page contains twice as many typed words as Bill's page
Bill's page contains 50 fewer words than Charlie's page
each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220
Let Charlie's page be x.
Let Bill's page be x - 50
Let George's page be 2(x-50)
After 1 minute:
Charlie's page: x + 70
Bill's page: x - 50 + 70
George's page: 2(x-50) + 70
Difference between George's page and Charlie's page is 220.
[2(x-50) + 70] - (x + 70) = 220
2x - 100 + 70 - x - 70 = 220
2x - x - 100 + 70 - 70 = 220
x - 100 = 220
x = 220 + 100
x = 320
Let Charlie's page be x. → x = 320
Let Bill's page be x - 50 → x - 50 = 320 - 50 = 270
Let George's page be 2(x-50) → 2(x-50) = 2(320-50) = 2(270) = 540
Bill's page initially contained 270 words.
The ratio of boy to girls in a class is 3 : 2. there are 15 boys in the class. how many total boys and girls are in the class?
a.15
b.23
c.25
d.35
Answers
the answer is c. 25
expalnation: A 3:2 ratio can be used in a proportion.
3/2=15/girls, girls =15*2÷3=10.
10÷15=25
LITERALLY THE MOST HARDEST QUESTION TO EVER EXIST ON THIS PLANET AND QUITE POSSIBLY THIS DIMENSION IF DIMENSION QARPING WAS EVEN POSSIBLE LIKE IN RICK AND MORTY!
if f(x)=1/2 x-2 what is the value of f(4)
Answers
f(4)= 1/2(4)-2
f(4)= 2-2
f(4)= 0
Final answer: 0
Answer:
all you got 2 do is plug in 4 for the value of x.
Step-by-step explanation:
What is the value of ?
Answers
[tex]\frac{x^m}{x^n}=x^{m-n}[/tex]
and
[tex]x^{-m}=\frac{1}{x^m}[/tex]
so
[tex]\frac{3^2}{3^4}=3^{2-4}=3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
3x^2+7x+3
+ 5x^2+12x
Answers
Answer:
8x^2+19x
Step-by-step explanation:
Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.
3x^2+7x+3+5x^2+12x
x^2 terms: 3x^2+5x^2=8x^2
x terms: 7x+12x=19x
constants: 3
Together is is 8x^2+19x+3.
I need to find the equation for this.. I keep getting confused please explain
Answers
Lets substitute our given information.
y = a(x-1)^2+5
Now, lets put in the coordinate it needs to pass through.
8 = a(2-1)^2 + 5
8 = a + 5
a = 3
Now, lets make the equation now that we know a.
y = 3(x-1)^2+5
Hope this helps!
The Sum of 3 consecutive integers is 1,623
Answers
divide 1623 by 3
1623 / 3 = 541
now subtract 1 from that
541-1=540
then add one to 541, 541+1 = 542
540 + 541 + 542 = 1623
the numbers are 540, 541, 542
3x = 1620
x = 540
540, 541, 542 is your answer
hope this helps
The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse?
15 centimeters
17 centimeters
20 centimeters
28 centimeters
Answers
The Pythagorean's Theorem is: a^2 + b^2 = c^2
Basically, leg1 squared plus leg2 squared = hypotenuse squared
So the two legs are 12 and 16, so we can put them in the equation.
12^2 + 16 ^ 2 = hypotenuse ^2
Or,
144 + 256 = hypotenuse ^ 2
400 = hypotenuse ^ 2
Then we can do the square root of 400 to find the hypotenuse.
√400 = 20
The length of the hypotenuse is 20 centimeters.
The length of the hypotenuse is 20 centimeters.
In order to solve this question, we'll use the Pythagoras formula which will be:
a² + b² = c²
where,
First leg = a = 12 centimeters
Second leg = b = 16 centimeters
Hypothenuse = c = Unknown
It should be noted that the hypothenuse is the longest side and therefore the formula will be:
a² + b² = c²
12² + 16² = c²
144 + 256 = c²
400 = c²
Therefore, c = ✓400
c = 20
Therefore, the length of the hypotenuse is 20 centimeters.
Read related link on:
https://brainly.com/question/5037947
Need help Identify three solutions of the graph shown
Answers
(4, -5)
(3, -3)
(1, 1)
(0, 3)
(-1, 5)
and so on.
Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b.
Answers
In other words:
length of SP + length of PT = length of ST
3b-11 + b+4 = 21
4b - 7 = 21
4b = 21+7
4b = 28
b = 28/4 = 7
Therefore:
SP = 3b-11 = 3(7)-11 = 21-11 = 10
PT = b+4 = 7+4 = 11
PLEASE HELP ME !!
Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79 a pound, bananas are $0.36 each, and potatoes are $2.99 for a 3 lb. bag. If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys, which expression represents the amount of change she receives after her purchases? Choices are
A. 30.00-a-b
B. 1.79a + 0.36b+2.99
C. 30.00 – (1.79a + 0.36b + 2.99)
D. 30.00 + (1.79a + 0.36b + 2.99)
Answers
Answer:
[tex]30-(1.79a+0.36b+2.99)[/tex]
Step-by-step explanation:
Let a represents the number of pounds of apples Abigail buys
Cost of 1 pound of apple = $1.79
So, Cost of a pounds of apple = 1.79a
Let b represents the number of bananas she buys,
Cost of 1 pound of banana = $0.36
Cost of b pounds of banana = 0.36b
Abigail buys 3 pounds of potatoes
Cost of 3 pounds of potatoes = $2.99
So, Total cost = [tex]1.79a+0.36b+2.99[/tex]
Abigail has $30.00 to buy groceries.
So, the amount of change she receives after her purchases=[tex]30-(1.79a+0.36b+2.99)[/tex]
So,Option C is correct.
Hence The expression represents the amount of change she receives after her purchases is [tex]30-(1.79a+0.36b+2.99)[/tex]
A restaurant compiled the following information regarding 40 of its employees. Of these employees, 9 cooked food, 14 washed dishes, 22 operated the cash register, 4 cooked food and washed dishes, 2 cooked food and operated the cash register, 7 washed dishes and operated the cash register, and 1 did all three jobs. Complete parts a) through e) below.
a) How many of the employees only cooked food?
Answers
just cooked food : 4
just washed dishes : 4
just worked register : 14
cooked food and washed dishes : 3
washed dishes and worked register : 6
worked register and cooked : 1
did all 3 : 1
did none of them : 7
Answer: 2
Step-by-step explanation:
Let Set A represents the number of employees cooked food.
Set B represents the number of employees washed dishes.
Set C represents the number of employees operated the cash register .
Given : n(A)=9 ; n(B)=14 ; n(C)=22
n(A∩B)=4 ; n(A∩C) = 2 ; n(B∩C)=7 ; n(A∩B∩C)=1
Using the given information, we have made a Venn diagram below.
Using Venn diagram , we have
n(only A)= n(A)-(n(A∩B)+n(A∩C)+n(A∩B∩C))
⇒n(only A)=9-(4+2+1)=9-7=2
Hence, 2 employees only cooked food.
what transformations change the graph of f(x) to the graph of g(x)?
f(x)=x^2
g(x)=(x+3)^2-7
Answers
Notice the difference:
from 'x' to 'x + 3'
and then from 'x²' to '(x+3)² - 7'
The transformation that changes 'x' to 'x + 3' is the translation across the x-axis, three units to the left
The transformation that changes 'x²' to (x + 3)² - 7' is the translation across the y-axis, seven unit down
Refer to the graph attached below to visualize the transformation. Take the vertex of f(x) = x² and translate it three unit left and seven unit down to get g(x).
Answer:
B. The graph of g is the graph of f translated to the left 3 units and down 7 units.
Step-by-step explanation:
f(x) = x² to g(x) = (x + 3)² - 7
Notice the difference:
from 'x' to 'x + 3'
and then from 'x²' to '(x+3)² - 7'
The transformation that changes 'x' to 'x + 3' is the translation across the x-axis, three units to the left. The transformation that changes 'x²' to (x + 3)² - 7' is the translation across the y-axis, seven unit down. Refer to the graph attached below to visualize the transformation. Take the vertex of f(x) = x² and translate it three unit left and seven unit down to get g(x).
Stacy bought a skateboard at a local sporting goods store. The skateboard was on sale for 10% off the original price. The store then charges 10% sales tax.
a. how does the original price compare to the final price?
b. would the final price be different if the 10% sales tax was added first and then the 10% discount was applied to this new amount
Answers
0.9-0.09=0.81 of the original price
If the 10% sales tax was added first, it wouldn't matter since you're still getting 10% twice either way
If the maximum acceleration that is tolerable for passengers in a subway train is 1.74 m/s2 and subway stations are located 930 m apart, what is the maximum speed a subway train can attain between stations?
Answers
To calculate the maximum speed a subway train can reach between stations, given the maximum tolerable acceleration, we use the equation Vmax = sqrt(2 × a × d), resulting in a maximum velocity of approximately 40.21 m/s.
To find the maximum speed a subway train can attain between stations, given a maximum tolerable acceleration for passengers, we need to use the equations for uniformly accelerated motion. Since the train starts and ends at rest at the stations and because the stations are 930 meters apart, we can think of the train's trip as two identical parts: an acceleration phase and a deceleration phase.
Let's denote the maximum speed as Vmax, the acceleration as a, and the distance for each phase as d (half the distance between stations). We have:
Acceleration: a = 1.74 m/s2Total distance to the halfway point: d = 930 m / 2 = 465 mUsing the equation Vmax2 = 2ad, we can solve for the maximum speed (Vmax) as follows:
Vmax = sqrt(2 × a × d)
Substituting the values, we get:
Vmax = sqrt(2 × 1.74 m/s2 × 465 m)
Vmax ≈ sqrt(1617) m2/s2 ≈ 40.21 m/s
Therefore, the maximum speed the subway train can attain between stations is approximately 40.21 m/s.
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $39 . The total cost to rent 9 chairs and 7 tables is $63 . What is the cost to rent each chair and each table?
Answers
9c + 7t = 63
----------------
-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75
3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair
HELP ME OUT PLEASE I REALLY NEED SOME HELP ON THIS QUESTION PRETTY PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x^4 + x by observing the equation of the function g(x) = x^4 – x.
I think it might be on the y axis
Answers
Problem page the ratio of men to women working for a company is 5 to 8 . if there are 169 employees total, how many women work for the company?
Answers
5/13(169) = 845/13 = 65 men
8/13(169) = 1352/13 = 104 women <===
Olivia's work and solution to the equation -6x+ 11 =43 is shown. identify each error in Olivia's work and explain what she should have done instead . please help
-6x + 11 = 43
+ 11 +11
-6x =54
-6x/6 = 54/6
x =9
Answers
-6x + 11 = 43
- 11 - 11
-6x = 32
-6x/-6 = 32/-6
x = [tex]-5 \frac{1}{3} [/tex]
what's x^2+3x-3=0 in radical and decimal form
Answers
x^2+3-3: x^2
x^2=0
radical form
What are the quotient and remainder when 6x3 + 13x2 + x − 2 is divided by x − 1?
Answers
Final answer:
The quotient when dividing 6x³ + 13x² + x - 2 by x - 1 is 6x² + 19x + 20, and the remainder is 18. This solution can be found using synthetic division.
Explanation:
The question asks to find the quotient and remainder when the polynomial 6x³ + 13x² + x - 2 is divided by x - 1. To solve this, we can use polynomial long division or synthetic division. As the divisor is in the form of x - a, where a is 1, synthetic division is a streamlined approach.
We set up our synthetic division with 1 as our key number outside the division symbol and the coefficients of our polynomial (6, 13, 1, -2) inside:
Bring down the 6.
Multiply 1 by 6 to get 6, add this to the next coefficient 13 to get 19.
Continue the process: Multiply 1 by 19 to get 19, add this to 1 to get 20.
Repeat: Multiply 1 by 20 to get 20, add this to -2 to get 18.
The numbers now inside the division symbol represent the coefficients of the quotient polynomial, giving us 6x² + 19x + 20 with a remainder of 18. Therefore, the quotient is 6x² + 19x + 20, and the remainder is 18.
How do you write "the difference between twenty and a number and four is six" as an algebraic expression?
Answers
20 - (x + 4) = 6
is your answer!
Hope I helped :)
Find the measures of two complementary angles if the difference in the measures of the two angles is 14
Answers
To find the measures of the two angles, divide 90 by two to say two angles of 45 degrees. Now divide 14 by 2, which you get 7 with. Now add 7 to 45 and subtract it from 45 as well, to get 52 and 38.
The measures of the angles are 52 degrees and 38 degrees.
so let's say they are x and y
and x>y
x+y=90
the differenc is 14
x-y=14
neat
x-y=14
add y to both sides
x=14+y
subsitut 14+y for x in other equation
x+y=90
14+y+y=90
14+2y=90
minus 14 both sides
2y=76
divide both sides by 2
y=38
sub back
x=14+y
x=14+38
x=52
the 2 angles measure 38 degrees and 52 degrees