Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The total amount of money Carson would have to pay to use the studio for tt hours can be determined using the equation P=50t+100.P=50t+100. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
Find the inverse of the function f(x) = 2x - 4.
g(x) = 1/2x - 1/4
g(x) = 1/4x - 1/2
g(x) = 4x + 2
g(x) = 3x+2
Answer:
None of the options are correct, but I got g(x)=1/2x+2.
Step-by-step explanation:
You start with the equation. You first need to change f(x) to y, and switch the x and y values. After this, your equation would be x=2y-4. Then, you need to icolate the y value, and to do that you first cancel out the four by adding it to both sides, and now your equation should be x+4=2y. The second step in icolating the y value is dividing everything in the equation by two. Now that the y is icolated, you equation should be y=1/2x+2. You then change the y to be g(x), and that's how I got my answer, g(x)=1/2x+2. You should ask your teacher about this, becuase from my calculations, none of the given responses would be correct. Sorry if that doesn't help you at all but yeah
Answer:
D, g(x) = 1/2 x + 2
Step-by-step explanation:
The second answer IS ONE TO ONE
What fraction of the student finished in less than 20 minutes?
Answer:
that depends on the number of students
Answer:
how many kids were involved
A byciclist travels 1 mile in 5 minutes. If m represents minutes what does the expression m/5 represents
Answer:
It represents 5 miles in 5 minutes
Step-by-step explanation:
Because, if the bycicleist travels 1 mile in 1 minute, in 5 minutes he traveled 5 miles
Jim is going from town A to town B.town B is located at (-4,5).he makes a stop at his friends house, which is halfway along the trip.what are coordinated of his top?
Answer:
Well hm It would help a lot if you told us where town A is on the map or showed us a picture. Could you do that?
Step-by-step explanation:
1. 30% of ___ = 90
2. 20% of ___ = 40
Answer:
1. 300
2. 200
Hope this helps!
Answer:
30% of 300 = 90
20% of 200 = 40
A house is purchased for $150,000 in 2002. The value of the house
depreciates at a rate of 7%. How much is the house worth in 2013? *
Growth:
Decay:
y=a(1+r)*
y= a(1-r)*
a = initial amount before measuring growth/decay
r = growth/decay rate (often a percent)
X = number of time intervals that have passed
9514 1404 393
Answer:
$67,516
Step-by-step explanation:
"Depreciates" means the value is getting smaller. The function that describes the situation is a decay function:
y= a(1-r)^x
Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...
y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53
The house is worth about $67,516 in 2013.
2/3x -4= -2
A.-3
B.-4
C.-9
D.3
Answer:
D
Step-by-step explanation:
mark me as brainliest?
Answer:
D. 3
Step-by-step explanation:
if you were trying to find the value of x, heres how i got the answer:
2/3x - 4 = -2
- add 4 to both sides
2/3x = 2
- divide both sides by 2/3
x = 3
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:
1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0
4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0
2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2
Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most four nonconforming transducers?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following data:
X: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0
4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0
2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2
Value __frequency (F)__Relative frequency
0________ 7 ___________ 7/60 = 0.1167
1 ________ 13 __________ 13/60 = 0.2167
2 _______ 13 ___________ 13/60 = 0.2167
3 _______ 14 ___________ 14/60 = 0.2333
4 _______ 5 ____________ 5/60 = 0.0833
5 _______ 3 ____________ 3/60 = 0.0500
6 _______ 2 ____________ 2/60 = 0.0333
7 _______ 2 ____________ 2/60 = 0.0333
8 _______ 1 _____________ 1/60 = 0.0167
B.) b. What proportion of batches in the sample have at most four nonconforming transducers?
X = 0 + x = 1 + x = 2 + x = 3
0.1167 + 0.2167 + 0.2167 + 0.2333
= 0.7834
How do you figure out
k+43=118
Answer:
Step-by-step explanation:
k+43=118
k=118-43
k=75
Answer:
Your answer is: k= 75
Step-by-step explanation:
Hope this helped : )
can you please answer the following
Answer:
5. 4
6. ?
7. c- 8
8. b-13
9. ?
10. d. 12
Step-by-step explanation:
i hope this helps, sorry for the question marks :)
Which number line can be used to find the distance between (4, -1) and (8,-1)?
Answer:
the first one
The number line which can be used to find the distance between (4, -1) and (8,-1) is 1
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
Given the points;
(x1, y1) = (4, -1)
(x2, y2) = (8, -1)
Here, we have the same values of y for both points.
This means that the line that contains both points is a horizontal line.
To find the distance, apply the formula:
[tex]d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
Since they have the same y values, the number line to represent the distance between both points must have the points 4 and 8;
Hence, we have;
[tex]d= \sqrt{(8-4)^{2}+(-1+1)^{2} }[/tex]
[tex]d= \sqrt{4^{2} + 0^{2} }[/tex]
d= 4
The distance between both points is 4;
Therefore, the number line that can be used to find the distance between both points is the number line in option A.
Learn more about distance between two points here:
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Sara has 4 pints of juice she wants to pour a equal amount of juice into 5 cups using all the juice. Which equation show how to find the amount of juice, in pints, in each glass?
Answer:
what are you in 5th? cause I might have the answer
An equation shows the amount of juice, in pints, in each glass is x =4/5.
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 =.
Sara has 4 pints of juice she wants to pour a equal amount of juice into 5 cups using all the juice.
Quantity of juice poured into cups be x.
Now, x= 4/5
Therefore, the equation is x= 4/5.
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HELPPP ME ASAPPPP.......it for mathhhhhhh
Answer:
4
Step-by-step explanation:
Answer:
d=4
Step-by-step explanation:
Flip the equation.
−d+15=11
Subtract 15 from both sides.
−d+15−15=11−15
−d=−4
Divide both sides by -1.
−d
−1
=
−4
−1
d=4
Billy wants to buy a golf cart that costs $12,000. He has already saved $8,500 and will continue to save $100 a week. Write and solve an equation to find the number of weeks, w, he must save until he has enough to purchase the golf cart.
Answer:
35 weeks
Step-by-step explanation:
12000=8500+100x
8500 from 12000 is 3500.
3500/100 is 35. 35 is x.
to check answer:
(35*100)+8500=
12000
Urgent. Solve -3−4x≤21.
Answer: x => -6
Step-by-step explanation: All you gotta do is alternate the form
The solution for the given inequality is x ≥ -6.
What are inequalities in mathematics?A declaration of an order connection between two numbers or algebraic expressions, such as greater than, equal to, less than, less than, or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, stipulates that the length of the remaining side of a triangle is more than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, like the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.
Given an equation -3−4x ≤ 21.
Solve for x
-3−4x ≤ 21
add three to both sides
-4x ≤ 24
divide by -4 into both sides (signs will be changed)
x ≥ -6
Therefore solution for the given equation in the form of inequalities is
x ≥ -6.
Learn more about inequalities here:
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120 eggs from 20 chicken
Answer:
60 eggs from 1 chicken
Step-by-step explanation:
You would like to know whether forwards in a basketball league average the same (or different) numbers of points than the overall league average of 7.5 points. Drawing a random sample of 10 forwards from the league, their averages were: 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10 points. If you were going to compare the obtained average of scoring by the sampled forwards with the population value of 7.5.
Required:
What is the critical t-value for such a test given an alpha level of 0.05?
Answer:
The critical t-value for such a test given an alpha level of 0.05 is 2.26
Step-by-step explanation:
Null hypothesis : [tex]H_0:\mu = 7.5[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 7.5[/tex]
Population mean = [tex]\mu = 7.5[/tex]
Data : 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10
Mean = [tex]\bar{x}=\frac{\text{Sum of all observations}}{\text{no. of observations}}[/tex]
Mean =[tex]\frac{10+9+6+11+13+14+9+9+ 9+ 10}{10}[/tex]
Mean =10
Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]
Standard deviation :[tex]\sqrt{\frac{(10-10)^2+(9-10)^2+(6-10)^2+(11-10)^2+(13-10)^2+(14-10)^2+(9-10)^2+(9-10)^2+(9-10)^2+(10-10)^2}{10}}[/tex]
Standard deviation s :2.144
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}t = \frac{10-7.5}{\frac{2.144}{\sqrt{10}}}t=3.687[/tex]
Df = n-1 = 10-1 = 9
T critical =[tex]t_{(df,\alpha)}=t_(9,0.05)=2.26[/tex]
T calculated > T critical
So, We failed to accept null hypothesis
Hence the critical t-value for such a test given an alpha level of 0.05 is 2.26
Find the average of the numbers 9 5/9 , 7 2/9 , 2 7/36 4 3/4.
Answer:
5.93
Step-by-step explanation:
[tex]Average= \frac{9+5/9+7+2/9+2+7/36+4+3/4}{4} = 5.930555[/tex] or [tex]\frac{427}{72}[/tex]
v/3=1 Please help what is V
Answer:
3
Step-by-step explanation:
v=1*3
Answer:
3
Step-by-step explanation:
Multiply each side by 3 and you get 3
v=1*3=3
v=3
On Monday, 255 students went on a trip to the zoo. All 6
buses were filled and 9 students had to travel in cars. How many students were in each bus ?
Answer:
41
Step-by-step explanation:
255-9=246
246/6=41 students
What is 5(x-2)-14x when x=4
Answer:
-46
Step-by-step explanation:
5 (x - 2) - 14x. x=4
5 (4 - 2) - 14(4) (distribute)
20 - 10 - 14(4) (multiply)
20 - 10 - 56 (subtract and solve.)
10 - 56 = -46 - solution
hope this helps (:
what is the greatest number of penss that can be bought with $ 8.15 if each pen costs 85 cents?
Answer:
9
Step-by-step explanation:
x=pens
.85x=8.15
.85x/.85= 8.15/.85
x=9.58
so 9 whole pens can be bought
An oil factory used 2/3 of a tin of
peanuts to prepare 3 drums of peanut
oil. How many tins of peanuts does the
factory use to fill in each drum?
Answer:16
Step-by-step explanation:
Find the lengths of side BC.
Give your answer to 3 significant figures.
Step-by-step explanation:
The perimeter of a rectangle is the sum of all the sides and the width sides are equal, as well as the two length sides.
For this problem that would mean that two sides are equal to BC and two sides are equal to AB.
Since the perimeter (P) is equal to 60 , we can write:
P = 2 * BC + 2 * AB
We can substitute the expressions we are given for AB and BC and 60 for the perimeter:
60 = 2 (2z + 3 ) + 2 (3z + 2)
Using the distributive property and combining like terms, we can find the value of the variable , z:
60 = 4z + 6 + 6z + 4
60 = 10z + 10
Subtract 10 from both sides of the equation:
60 - 10 = 10z + 10 -110
50 = 10z
Divide both sides of the equation by 10:
50/10 = 10z/10
5 = z
Since z = 5, then BC is 2z + 3 or 2*5 + 3
BC = 13
Tell me if that's correct!
What is the remainder when 18,049 is divided by 14? (Input numeric values only)
Answer:
18049/14= 1289 with a remainder of 3
Answer:
3
Step-by-step explanation:
use a model to divide 5/7 divided by 3 Express the answer in simplest form
Answer:
5/21
You flip the number 3 which will be "1/3", then you multiply that by 5/7 and you get 5/21
Given expression;
We are to divide 5/7 by 3;
Now;
[tex]\frac{\frac{5}{7} }{3}[/tex]
So;
[tex]\frac{5}{7}[/tex] divided by 3
= [tex]\frac{5}{7} x \frac{1}{3}[/tex]
= [tex]\frac{5}{21}[/tex]
The solution is [tex]\frac{5}{21}[/tex]
Which of the following is NOT true about the following equation. y= -4
Answer:
Answer is D.
Step-by-step explanation:
Which is not true?
So, lets assess the answers given to the question.
A. It is the equation of a horizontal line.
Yes, it is. Since there is only one y - value which is y = -4, we can confirm this is the y intercept, so therefore the x value is zero. But it's not the answer we're looking for.
B. It's slope is zero, yes the slope is zero. It only lists the y-intercept which confirms that the slope is 0.
C. Yes, I mean i can't really explain how. Just use desmos calculator, the graph is exactly perpendicular.
D. The line actually does cross the x-axis, -4 is the y intercept and the x value is 0, and zero is still a point. So D is the one which isn't correct making it the correct answer.
find the slope of the line that passes through points (-18,2) and (-18,17)
Answer:
there is no slope
Step-by-step explanation:
cause both x variables are the same
In ΔUVW, u = 380 cm, ∠W=89° and ∠U=33°. Find the length of w, to the nearest 10th of a centimeter.
Answer:
697.6
Delta math