Answer:
The correct solution is "27x".
Step-by-step explanation:
Throughout the question, the given values are:
Fixed cost,
= $3000
Variable cost,
= $12
Sales prize,
= $27
Let,
The number of skateboards produced will be "x".
Now,
⇒ [tex]Cost = Fixed \ cost+ Variable \ cost[/tex]
[tex]C(x) =3000+12x[/tex]
hence,
Reverse R(x) will be:
= [tex]Price\times Number \ of \ skateboard[/tex]
= [tex]27\times x[/tex]
= [tex]27x[/tex]
You lean a 12 foot ladder against the wall. If the base is 2.5 feet from the wall, what angle does the ladder make with the ground?
Answer:
77.975degrees
Step-by-step explanation:
Given the following;
Length of the ladder = 12foot (Hypotenuse)
Distance from the wall to the base of the ladder = 2.5feet (adjacent)
Using the SOH CAH TOA identity;
Cos theta = adjacent/Hypotenuse
Cos theta = 2.5/12
Cos theta = 0.2083
theta = arccos (0.2083)
theta = 77.975
Hence the angle that the ladder makes with the ground is 77.975degrees
A and B are supplementary angles. If m A = (x + 15)° and m
ZB = (x – 13), then find the measure of ZB.
Answer:
76 degrees
Step-by-step explanation:
We know that supplementary angles equal 180 degrees. So, set up the equations:
[tex]180=(x+15)+(x-13)\\[/tex]
[tex]180=(2x+2)\\[/tex]
[tex]178=2x[/tex]
[tex]x=89\\[/tex]
Then, you just plug 89 back into ZB, and simplify:
[tex](89-13)\\[/tex]
[tex]=76[/tex]
So, the measurement of angle ZB is 76 degrees.
EXPLAIN the difference between surface area and volume in your own words
Pilates never uses equipment other than a mat. O A True O B. False
Answer:
B. False
Step-by-step explanation:
broooooooooo why would it just be a mat nah it can be more smh
Find the area of the figure area composite figures
Answer:
21.9 ft²
Step-by-step explanation:
Hello!
To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.
Area square:
6 x 636Area semi-circe:
A = 1/2(πr²)A = 1/2(6/2)²πA = 1/2(9π)A = 14.1Area shape:
36 - 14.121.9The units are ft², so the answer is 21.9 ft²
What’s this ? I’ll mark up brainless .
Answer: 0.7 i believe not sure
Step-by-step explanation:
The inverse of the function f(x) = one-half x plus 10 is shown. H(x) = 2x- What is the missing value?
Answer:
The missing term is 20
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{2}x + 10[/tex]
[tex]h(x) = 2x -[/tex] --- inverse of f(x)
Required
Complete h(x)
We have:
[tex]f(x) = \frac{1}{2}x + 10[/tex]
Express f(x) as y
[tex]y = \frac{1}{2}x + 10[/tex]
Swap x and y
[tex]x = \frac{1}{2}y + 10[/tex]
Multiply through by 2
[tex]2x = y + 20[/tex]
Make y the subject
[tex]y = 2x - 20[/tex]
Replace y with the inverse function
[tex]h(x) = 2x - 20[/tex]
Compare
[tex]h(x) = 2x - 20[/tex]
with
[tex]h(x) = 2x -[/tex]
The missing term is 20
Answer:
its d on edge
Step-by-step explanation:
: Marjorie is a 50% partner in Callie's Candies. Under the terms of the partnership agreement, she is to receive 50% of partnership income, but no less than $30,000. If the Partnership's net income for the year is 90,000 what amount of income does Marjorie earn from this partnership? ?
Answer:
$45,000
Step-by-step explanation:
Income = percentage of income she receives x income
50% x 90,000
0.5 x 90,000 = 45,000
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
Learn more about patterns with shapes here:
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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Solve the following system of equations using the substitution method.
-6x + 2y = 8
y = 3x + 4
O A) No solution
B) (8,8)
C) (0,4)
D) Infinitely many solutions
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
6.16 hours
Step-by-step explanation:
Let the number of hours that washed the car together = T
Number of hours Matthew washed = m = 14 hours
Number of hours Arianna washed = a = 11 hours
The formula to calculate how many they wash the cars together is given as
1/a + 1/m = 1/T
1/14 + 1/11 = 1/T
Lowest Common Denominator = 154
Hence:
(11 + 14)/154 = 1/T
25/154 = 1/T
Cross Multiply
154 × 1 = 25 × T
T = 154/25
T = 6.16 hours
Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together
Answer:
below
Step-by-step explanation:
A)1 can be interpreted as the job, the project, the whole thing or all of the cars
B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)
C)multiply both sides by 14 hours/1 job and simplify to get t=14hours
D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11
E)t=154/25=t= 6.16 hours
Ricardo wants to install two security cameras at point A so the parking lot from side AE to side AB of the building can be monitored. Can he use two cameras, both with a field of view of 110 degrees, installed at point A? Explain. If not, what is the minimum field of view that each camera should have?
Select the correct choice below, and fill in any answer box(es) within your choice.
(Type an integer or a decimal.)
A. No. The full field of view at point A is ____ . Each camera must have a field of view of at least ____
B. Yes. The full field of view at point A is _____
Answer:
b yes the full field of veiw sta point a is
find the value of
indices
Answer:
8/27
Step-by-step explanation:
What is the first step to solve the equation 5x-6=44?
Answer:
Muliply 5 x6 then minus
Step-by-step explanation:
Select the correct answer from each drop-down menu. The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes. The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %. The probability of a randomly selected student completing the test in 95 minutes is %.
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
We solve using z score formula
z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.
a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.
z = 45 - 70/25
b) The probability of a randomly selected student completing the test in 95 minutes is %.
z = 95 - 70/25
A meteorologist in a city recorded the type of weather for each day last year. The table shows the results.
Answer:
C
Step-by-step explanation:
93/35= 2.657
100/2.657= 37.636
round up
A truck driver traveled 120 miles in 2.5 hours. How many miles can he
drive in 2 hours?
Answer:
110
Step-by-step explanation:
-2.5/2.5
2.5-5x=110
110/2.5-1.3=5x
need help fast on a timer
Answer:
D, [tex]10i\sqrt{2}[/tex]
Step-by-step explanation:
Separate -1, 2, and 100 from each other inside the radical. You can take out -1 as i, and 100 as 10. You now have 10i on the outside of the radical and 2 on the inside. Hope this helps.
Answer:
the answer is D.
!!!!!!!!!!!!!!!!!!!!!!!!
Hannah invested $600 for 8 years at a rate of 3% per year simple interest.Calculate the interest Hannah receives.
Given:
Principal = $600
Rate of simple interest = 3% per year
Time = 8 years
To find:
The simple interest.
Solution:
Formula for simple interest is:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percent and t is the number of years.
Substituting [tex]P=600,\ r=3,\ t=8[/tex] in the above formula, we get
[tex]I=\dfrac{600\times 3\times 8}{100}[/tex]
[tex]I=6\times 3\times 8[/tex]
[tex]I=144[/tex]
Therefore, the simple interest is $144.
a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
Jenna's dogs used 9 99 chew toys last year. The animal shelter used 2 , 277 2,2772, comma, 277 chew toys. How many times as many chew toys did the animal shelter use? Choose 1 answer: Choose 1 answer: (Choice A) A The animal shelter used 20 , 493 20,49320, comma, 493 times as many chew toys, because 9 × 2 , 277 = 20 , 493 9×2,277=20,4939, times, 2, comma, 277, equals, 20, comma, 493. (Choice B) B The animal shelter used 2 , 053 2,0532, comma, 053 times as many chew toys, because 2 , 277 ÷ 9 = 2 , 053 2,277÷9=2,0532, comma, 277, divided by, 9, equals, 2, comma, 053. (Choice C) C The animal shelter used 253 253253 times as many chew toys, because 2 , 277 ÷ 9 = 253 2,277÷9=2532, comma, 277, divided by, 9, equals, 253.
Answer:
253
Step-by-step explanation:
Given
[tex]J = 9[/tex] --- Jenna's dog
[tex]A = 2277[/tex] -- Animal Shelter
See comment for proper format of the question
Required
How many times did A use than J
The options are not clear. So, the general solution is as follows.
To solve this, we simply divide the chew toys used in A by the chew toys used by J
So, we have:
[tex]n = \frac{A}{J}[/tex]
This gives:
[tex]n = \frac{2277}{9}[/tex]
[tex]n = 253[/tex]
The probability that Dan buys a sandwich is 0.2. The probability that Dan gets the bus is 0.8. Assuming the events are independent, what is the probability that Dan buys a sandwich and gets the bus?
The probability that Dan buys a sandwich and gets the bus will be 0.16.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.8.
Assuming the events are independent.
Then the probability that Dan buys a sandwich and gets the bus will be
P = 0.2 × 0.8
P = 0.16
More about the probability link is given below.
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The difference between the upper-class limit and lower class limit of a class interval is called *
2 points
A. Frequency
B. Width
C. Grouped data
D. Ungrouped data
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
Pretty sure is convergence lines
Hi, those are Horizon lines.
If you want to be specific, you can say eye-level horizon lines. Horizon lines show the depth in an art piece. I hope this helps.
Arturo is making an appetizer for a dinner party. The recipe calls for three cloves of garlic for 7 servings. There are 50 people attending to the dinner party, approximately how many cloves of garlic will a Toro any? Round to the nearest whole number
Answer:
21 cloves of garlic
Step-by-step explanation:
50 ÷ 7 = 7.14
7.14 x 3 = 21.42
Then rounded to the nearest whole number it would be 21.
Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
If you want to learn more about percentages.
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Solve for x.
.......................
Answer: For both 3x+1 and 7x-1 is There are no like terms.
I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing
Step-by-step explanation: Hope this help :D
A field in the shape of a trapezoid has a perimeter of 460m determine the length of fencing needed for each side of the field?
what's the equation of this table
1 13
2 17.5
3 22
4 26.5
Answer:
y = 4.5x + 8.5
Step-by-step explanation:
this is true