A is directly proportional to the square root of B
When A = 50, B+4 . Find A in terms of B
Answers
Answer:
A=50, B=4
A is directly proportional to the square root of B
name the constant 'k'
A = k*B^0.5
50 = k*4^0.5
50=2k
k=25
=> A =25 root B
i.e, A = 25*B^0.5 (The answer should be written the way it is written in the attached picture)
A written in terms of B is 25√B.
What is direct and inverse proportion ?In direct proportion if one quantity increases the other quantity also increases and vice versa.In case of inverse proportion when one quantity increases the other quantity decreases and vice versa.
According to the given question A is directly proportional to the square root of B.
∴ A = K[tex]\sqrt{B}[/tex]
Given when A = 50 B = 4.
50 = K[tex]\sqrt{4}[/tex]
50 = 2k
k = 25.
So, A =25√B.
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Related Questions
A glider begins its flight 7/10 mile above the ground. After 45 minutes, it is 2/5 mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last?
The change in height ___ is
mile(s).
The entire descent lasts ___ hour(s).
Answers
Answer:
Answer One: 3 miles. Answer Two: 105.
Step-by-step explanation:
Answer One: Due to it being 7/10s we have to get 2/5 to a tenth. We multiply 2 and 5 by 2 to get 4/10s subtract 7/10s to 4/10s getting 3/10s which is equal to 45 minutes. So that means 4/10s is equal to an hour. The change in height is 3/10s. Answer Two: It begins it's flight at 7/10s above ground so after 45 minutes it's now at 4/10s due to 45 minutes equaling 3/10s, you need another hour to reach the ground so add 45 minutes to 60 minutes to get 105.
I swear I'm not dumb I just cbf rn. I feel like sleeping can someone help??
Answers
F- 25/35, 31/35, 36/35 or 1 and 1/35
Why in the world did I have nearly 800 points worth of questions deleted? Every single one of them were right! What do I do now?
Answers
Answer:
read your username :)
Step-by-step explanation:
How to you post a picture of a graph
Answers
Factor the Greatest Common Factor 6x+12
Answers
Answer:
6 is the greatest common factor
Step-by-step explanation:
6 goes into 6 once evenly
6 goes into 12 twice evenly
6(x + 2)
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
zero
one
two
infinitely many
Answers
Answer:
Zero Solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+13=3(x+6)+1
3x+13=(3)(x)+(3)(6)+1(Distribute)
3x+13=3x+18+1
3x+13=(3x)+(18+1)(Combine Like Terms)
3x+13=3x+19
3x+13=3x+19
Step 2: Subtract 3x from both sides.
3x+13−3x=3x+19−3x
13=19
Step 3: Subtract 13 from both sides.
13−13=19−13
0=6
Answer:
There are no solutions.
Use compositions to verify that g and g^-1 are in fact inverses.
g(x): 1/x+2
g^-1(x): 1/x - 2
Answers
Answer:
as written there, they are not inverses
proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1
Step-by-step explanation:
g(g^-1(x)) == x if they are indeed inverses
1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses
highest to lowest
-0.6 , 0.38, -0.41, 0.09, 0.7
Answers
Answer:0.38 0.09 0.7 -0.6 -0.41
Step-by-step explanation:
y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24
Answers
Answer:
D
Step-by-step explanation:
It just is
The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answers
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
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solve for l:
p = 2(l +w)
Answers
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up ?
Answers
Answer:
5 tables
Step-by-step explanation:
if four adults and three children are seated at each table, there can be a total of 5 tables.
The point (4, 1) is reflected over the line y = –x to create Point B. What are the coordinates of B?
Answers
Answer:
(-4,-1) You flip them both and switch the signs.
Estimate the product. Then find the exact product.
7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979
Answers
Answer:
79.79
Step-by-step explanation:
7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER
Answers
Answer:
[tex]\frac{14}{16}[/tex] simplified to [tex]\frac{7}{8\\}[/tex]
Step-by-step explanation:
[tex]\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}[/tex]
4 (3q-2) = 4q + 2q
Show your work
Answers
Answer:
8/6 or 1 1/3
Step-by-step explanation:
Step 1:
4 ( 3q - 2 ) = 4q + 2q Equation
Step 2:
12q - 8 = 4q + 2q Multiply
Step 3:
12q - 8 = 6q Combine Like Terms
Step 4:
12q = 6q + 8 Add 8 on both sides
Step 5:
6q = 8 Subtract 6q on both sides
Step 6:
q = 8 ÷ 6 Divide
Answer:
q = 8/6 or 1 1/3
Hope This Helps :)
Answer:
Hi there! The answer is q=4/3.
Step-by-step explanation:
First—Distrubute the 4 on each side of 3q-2. You should get 12q-8 on the left side of the equation.
Second— Combine like terms. You should see the 4q+2q obviously. Since they have the same letters, they should be combined Into 6q.
as a result you should have 12q-8 on the left side and 6q on the right side.
Switch 6q’s place with -8. But make sure you change the signs of negative and positives as you switch.
Now you should have 12q-6q=8.
Combine like terms again which will be 12q-6q Which will become 6q.
Now you should have 6q=8. divide 6 to both sides of the equation.
Since 6/6 = 1, there should be no coefficients stuck on the q.
when 8 is divided by 6, you should get 8/6.
WAIT YOU ARE NOT FINISHED YET!! YOU HAVE ONE MORE STEP AND YOU WILL HAVE ANSWER.
simplify 8/6 top and bottom divided by 2 each, then you should have 4/3.
Comment if you are confused!! :)
A food bank sends a truck with 400 pounds of food to each of five local food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the begining of July , how much will it have six weeks later?
Answers
Answer:
6,400
Step-by-step explanation:
The calculation is shown below:-
But before that find the total number of pound in five local bonds
= 400 × 5
= 2,000
Now the amount at six week later is
= Food pounds + 3 × number of pounds + 3 × suplus shipment
= 10,000 + 3 × 2,000 - 3 × 3,200
= 10,000 + 6,000 - 9,600
= 6,400
Therefore according to the given situation the correct answer is 6,400
1/a+1/b=1/x solve for x
Answers
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )
[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
What do I do on this question
Answers
Good luck!
Answer:
the ratio is 2:11
Step-by-step explanation:
I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.
when all the measurements of the ingredients are added together, that makes 11.
according to the recipe, there's 2 cups of mixed nuts.
so the ratio is 2 cups of mixed nuts to 11 cups of granola.
During spring break, a class of 14 children went to Walt Disney World in Florida. The price for each child’s ticket was $75, while each adult ticket was $85. If the total amount spent on tickets was $1,475, how many adults went on the trip?
Answers
Answer:
5 adults went on the trip.
Step-by-step explanation:
There are 14 children ($75 each) and the total was $1475. We need to find out how many adults were there ($85 each)
c is for children and a is for adults
equation: $75c+ $85a = $1475
$75(14)+ $85a= $1475
$1050 + $85a = $1475
-1050 -1050
$85a = $425
85a/85 = 425/85
a = 5
5 adults went on the trip. Hope this helps! :)
There were 5 adults that went on the trip.
What is unitary method ?Unitary method is finding the value for a single unit.
According to the given question During spring break, a class of 14 children went to Walt Disney World in Florida the price for each child’s ticket was 75 dollars.
So, Cost of tickets of 14 children is
= (14 × 75) dollars.
= 1050 dollars.
Total amount spent on tickets for children and adults is 1475 dollars.
∴ Total amount spent for tickets for the adults is
= ( 1475 - 1050 ) dollars.
= 425 dollars.
Given price of one ticket for adult is 85 dollars, So for 425 dollars the no. of tickets will be
= 425/85 dollars.
= 5 tickets which states there were 5 adults.
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Which system is independent and inconsistent? x-y+Z = 2 O x-y-Z=2 (x+y+Z = 2 x-y+z= 2 O X+y-Z=3 X-y-z=4 2x+2y + 2z=4 -X-y-Z=-2 X+y+z=2 x-y-Z = 2 X+Y-Z=3 -X+y+Z=4
Answers
Answer: D
Step-by-step explanation:
7. Which is better? 500 people giving you $200 each or 200 people
giving you $500 each? Explain.
Answers
Answer:
both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option
at is the equation in slope-intercept form for a line that goes through the points (- 2, 16) and (2, - 8)
Answers
Answer:
y=-6x+4
Step-by-step explanation:
HELP ME PLS ITS DUE SOON
Answers
Answer:
B
Step-by-step explanation:
what is 8+4*5+5-9+2+45-12+95463/8+34/2=?
Answers
Answer:
12008.875
Step-by-step explanation:
CAN ANYONE PLZZZ HELP ME? I WILL MARK THE FIRST AND THE RIGHT ANSWER THE BRAINLIST!!!
Answers
Answer:
The answer would be 17.
Step-by-step explanation:
The temperature at the base of the mountain was 14°F. The temperature at the summit was 16°F lower
than the base. What was the temperature at the summit?
Answers
Answer:
-2°F
Step-by-step explanation:
12-16=-2
the temperature at the base will be -2
If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
OA) 2 + y = 13
B) x= 13- y
OC) x+ 2 = 13
OD) y = 13 - x
Answers
Answer:
b
Step-by-step explanation:
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answers
Answer:
21
Step-by-step explanation:it's 22222222211111211111112211
Help pls
10 - 3x = 22
Answers
Answer:
its 7
Step-by-step explanation:
