Answer:
Part 1)
[tex]f(g(x))=10x^3+16[/tex]
Part 2)
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+16[/tex]
Which represents the amount of money Raul earns per ticket and:
[tex]g(x)=\sqrt{5x^3}[/tex]
Which represents the number of tickets Raul sells per hour.
Part 1)
We want to find f(g(x)).
So, we substitute g(x) for f(x). This yields:
[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]
This can be expanded a simplified as such:
[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]
Part 2)
Recall that f(x) outputs the amount of money Raul earns per ticket.
And g(x) inputs the amount of hours Raul works.
When we composed f(g(x)), the input and output stayed the same.
So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).
Answer:
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
I need help I been hitting a roadblock for the past hour. Can anyone help me?
Answer:
hhuh
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. A. Find the circumference of the tire.
B. About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
Answer:
A. The circumference of the tire is approximately 7.854 feet.
B. The tire rotates about 672 times to travel 1 mile.
Step-by-step explanation:
A. The circunference ([tex]s[/tex]), measured in feet, in terms of diameters is defined by the following formula:
[tex]s = \pi \cdot D[/tex] (1)
Where [tex]D[/tex] is the diameter of the tire, measured in feet.
If we know that [tex]D = 2.5\,ft[/tex], then the circunference of the tire is:
[tex]s = \pi\cdot (2.5\,ft)[/tex]
[tex]s \approx 7.854\,ft[/tex]
The circumference of the tire is approximately 7.854 feet.
B. The value found in A. represents the distance travelled by the tire per revolution. Then, the number of revolutions ([tex]n[/tex]), no unit, associated to the distance travelled is calculated by this expression:
[tex]n = \frac{s}{\pi\cdot D}[/tex] (2)
If we know that [tex]s = 5280\,ft[/tex] and [tex]D = 2.5\,ft[/tex], then the number of revolutions done by the tire to travel 1 mile is:
[tex]n = \frac{5280\,ft}{\pi\cdot (2.5\,ft)}[/tex]
[tex]n \approx 672.270[/tex]
The tire rotates about 672 times to travel 1 mile.
Type the missing numbers in this sequence:
-34, , -18, -10, , 6
Drag each tile to the correct box.
Fran, Robert, and Becky all got summer jobs. Fran earned $140 for 20 hours of work, Robert earned $150 for 25 hours of work, and Becky earned $120 for 15 hours of work.
Sequence the three workers in order from least amount of money earned per hour to greatest amount of money earned per hour.
Order from least to Greatest
Robert Fran Becky
Answer:
Becky, Fran, Robert
Step-by-step explanation:
Becky - $120
Fran - $140
Robert - $150
I reallyyyy need help and i gotchu wit a lot of points if you can help me
Answer:
a. $14.99k + $24+ $25 = x
b. $14.99(3) + $24+ $25 = x
$44.97 + $24 + $25 = $93.97
Step-by-step explanation:
Answer:
i) C= $14.99 k + $24
ii) $93.97
Step-by-step explanation:
Let the number of models be represented by -----------k
Let the amount spent on books to be--------$24
The equation that represent amount spent in the mall is given as;
C= $14.99 k + $24 ---------------where ;
C= the equation for the total amount spent in the mall
k = the number of plane models
ii)
Using the equation : C= $14.99 k + $24 and if k = 3 and the amount spent on the store is $25 then ;
C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97
C+ 25 = $68.97 + 25 =$93.97
Can anybody help me with this please
Answer: y = 2x³ + 1 . non-linear
y = 3x . linear
y = x/5 linear
Step-by-step explanation:
The attachment shows graphs of the three equations. If the line is straight, the equation is linear. If it curves, it is not linear.
Equations with exponents are not linear.
Please hurry, I'm doing an Exam!!
The multiplication table below can be used to find equivalent ratios. Which ratio is equivalent to the ratio 20 to 35?
5 to 7
7 to 5
8 to 14
14 to 8
Answer:
14 to 8 I think
Step-by-step explanation:
Not too sure but looked on my old ratios sheet and there's 80:140 so that could be right but honestly none of these look right, I attached the photo of what my teacher told us to use last year to check answers
w6+58=-138!! what is x PLEASE
Answer:
the answer is -196 im sorry if i got it wrong
Step-by-step explanation:
Answer:
w = ~ - 32.7
Step-by-step explanation:
w6 + 58 = -138
Subtract 58 on both sides
w6 + 58 - 58 = -138 - 58
w6 = -196
Divide by 6 on both sides to isolate the variable
w6/6 = -196/6
w = - 32.66666666666667
w = ~ - 32.7
Hope this helped!
Have a supercalifragilisticexpialidocious day!
of the 300 people who entered the zoo, there were 210
children and 90 adults. Write a ratio comparing adults
to children.
help me plz plz plz geometry
Answer:
64
Step-by-step explanation:
Answer:
x = 8°, y = 28°
Angles are 64° and 116°
Step-by-step explanation:
Parallelogram
Opposite angles of a parallelogram are congruent, that is, they have the same measure, thus:
4y = y + 87
8x = 7x + 8
These are two separate equations that can be solved independently.
Subtracting y to the first equation:
3y = 87
Dividing by 3:
y = 87/3 = 29
y = 29°
Subtracting 7x to the second equation:
x = 8°
The internal angles of the parallelogram are:
8x = 64°
4y = 116°
The question doesn't have any specific requirements, so I solved the variables and calculated the angles.
Victor planned to buy a video game for $ 40, but the actual cost was $ 50. What was his percentage of error?
25%
30%
20%
22%
Find the values of x and y.
Answer:
x = 15; y = 21
Step-by-step explanation:
The vertical angles have the same measure.
The sum of the measures of the angles of a triangle is 180 deg.
Left triangle:
4y - 18 + y + 14 + 6x - 11 = 180 Equation 1
Right triangle:
6x - 11 + 81 + x + 5 = 180 Equation 2
Simplify Equation 1.
4y - 18 + y + 14 + 6x - 11 = 180
6x + 5y = 195 Equation 3
Simplify Equation 2.
6x - 11 + 81 + x + 5 = 180
7x = 105
Solve last equation for x.
7x/7 = 105/7
x = 15
Substitute 15 for x in Equation 3 and solve for y.
6x + 5y = 195
6(15) + 5y = 195
90 + 5y = 195
5y = 105
y = 21
Answer: x = 15; y = 21
Michael has 567 pennies, Jorge has 464 pennies, and Jamie has 661 pennies. If the pennies are shared equally by the 3 boys and 33 of their classmates, how much money will each classmate receive? ( please show me the steps)
Answer:
Everybody, including the three boys, will get 47 pennies.
Step-by-step explanation:
First, you add the number of pennies each of the boys has, 567+464+661 = 1,692. Then you take the 1,692 and divide it by 36 to get 47. You divide by 36 because the pennies are getting shared by the 3 boys and 33 classmates, which comes out to be 36 classmates in total.
Steve has 1 1/2 cups of flour. One of his recipes requires 1/8 cup of flour. What is the maximum number of times (batches) Steve can complete the recipe?
Answer:
12 batches
Step-by-step explanation:
Total cups of flour = 1 1/2
Flour used per batch = 1/8 cups
What is the maximum number of times (batches) Steve can complete the recipe?
Maximum batches Steve can make = Total cups of flour / Flour used per batch
= 1 1/2 ÷ 1/8
= 3/2 ÷ 1/8
= 3/2 × 8/1
= (3*8) / (2*1)
= 24 / 2
= 12 batches
Maximum batches Steve can make = 12 batches
Use the box-and-whisker plot to answer the following question.
100
150
200
250
300
350
400
450
What is the median value?
I
Answer:
275
Median is the middle number. In this scenario there are 2 middle numbers thus the avg between 250 and 300 are found.
Madison and Tanisha went out to lunch. The bill came to $18.94. Madison knows that her lunch cost 9.72. How much did Tanisha's lunch cost?
Answer:
Tanisha's lunch cost $9.22.
Step-by-step explanation:
Given that,
Total bill = $18.94
Cost for Madison cost = $9.72
Total cost = Tanisha's lunch + Madison's lunch
18.94 = Tanisha's lunch + 9.72
Tanisha's lunch = 18.94 - 9.72
Tanisha's lunch = 9.22
So, Tanisha's lunch cost $9.22.
Original Price = ? Percent of Discount = 5% Sale Price = $57
Answer:
$60
Step-by-step explanation:
If it's 5% off, the sale price will be 95% of the original price.
you have [tex]0.95x = 57\\[/tex] where x is the original price
solving:
multiply both sides by 100
[tex]95x = 5700[/tex]
divide both sides by 95
[tex]x = 60[/tex]
The original price is $60
18 divided by 5 - (6-5)-1) pemdas
Answer:
The answer is 6
will mark brainliest if you mark me and it has to be right
Answer:
5
Because it is something that I know
Answer:
a^2+b^2=c^2
the answer should be 5
Step-by-step explanation:
Does the letter A represent the value of 1/2
Answer:
write the questions properly and make it sure that the question is right
Answer:
yes
Step-by-step explanation:
i think
its represent the value of 1/2
Why is 4 +(-3) equal to 1
Answer:
bc u really subtracting three
Step-by-step explanation:
several ways to explain this, but the simplest way to show this is using a number line.
See attached for number line.
If we start at zero and add 4 (i.e the blue line) we will get a value of 4.0
subsequently, if we subtract 3 from this (green line), we will end up at 1.
Pls someone answer this I will give you a lot of points
Answer:
Part A: 4 3/4
Part B: 1 1/4
Step-by-step explanation:
A: sum of 2 1/2 and 2 1/4 = 2 2/4 + 2 1/4 = 4 3/4
B: 6 can be made to be 5 4/4 because it is 5 + 1
5 4/4 - 4 3/4 = 1 1/4
In exponential form, 3×3×3×3=3^4 true or false
Answer:
true
Step-by-step explanation:
Jackie bought a 3-pack
Answer:
Good for her
Step-by-step explanation:
Click on a factor pair of 12
2 and 3
3 and 4
6 and 7
2 and 4
Is this a function? Yes or no
{(2,3), (-3,5),(2,6), (-1,0), (3,7)}
Answer:
no
Step-by-step explanation:
A man invested $10,500 for 7 years at 5 ½ % per annum simple interest.
(A) Determine the simple interest payed
(B) Calculate the amount of money he collected after the period of 7 years
Money invested by a man = $10,500
No.of years for which he invested his money = 7
Rate of interest = 5.5%
We know that :
[tex] \tt \: Simple \: interest = \frac{Principal × Rate × Time}{100} [/tex]
Principal = 10500
Rate = 5.5%
Time = 7 years
Simple interest the man payed :
[tex] = \tt\frac{10500 \times 55 \times 7}{10 \times 100} [/tex]
[tex] = \tt \frac{4042500}{1000} [/tex]
[tex] \color{plum}=\tt 4042.50[/tex]
Therefore, the simple interest payed by the man = $4042.50
Solution (B) :Money invested by the man (principal) = $10,500
The simple interest he payed = $4042.50
We know that :
[tex]\tt \: amount = principal + interest[/tex]
The amount the man collected after a period of 7 years :
[tex] = \tt10500 + 4042.50[/tex]
[tex] =\tt 14520.50[/tex]
Thus, amount = $14520.50
Therefore the amount he collected after a period of 7 years = $14520.50
1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.
Answer:
58
Step-by-step explanation:
57.5 round up. 58
Express in simplest radical form.
\frac{\sqrt{96}}{2}
Answer:
[tex] \frac{ \sqrt{96} }{2} = \frac{ \sqrt{16 \times 6} }{2} = \frac{4\sqrt{6} }{2} = \boxed{2 \sqrt{6}}\\ [/tex]
2√6 is the right answer.I NEED ANSWERS FAST PLEASE
Point Alies on Quadrant IV. If it is rotated 180° about the origin which quadrant will the image A' lie on.
A . Quadrant III
B . Quadrant 11
C . Quadrant l
D . Quadrant IV
Answer:
c. Quadrant 1
Step-by-step explanation:
I did this in class like yesterday
Answer:
Quadrant I: Both x and y-coordinate are positive. Quadrant II: x-coordinate is negative and y-coordinate is positive. Quadrant III: Both x and y-coordinate are negative. Quadrant IV: x-coordinate is positive and y-coordinate is negative.
Step-by-step explanation: