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Related Questions
find (g o f)(x) where f(x)= x^2-2, g(x)=5x-8
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The composite function (g o f)(x) of f(x) and g(x) is 5x^2-18.
We have given that,
f(x)= x^2-2, g(x)=5x-8
What is the value of (g o f)(x)?The value of (g o f)(x)=g(f(x)
g(f(x)=5(f(x))-8
=5(x^2-2,)-8
=5x^2-10-8
=5x^2-18
Therefore the composite function of f(x) and g(x) is 5x^2-18.
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In Marissa's Calculus course, attendance counts for 5% of the grade, quizzes count for 10% of the grade, exams count for 60% of the grade, and the final exam counts for 25% of the grade. Marissa had 100% average for attendance, 93% for quizzes, 86% for exams, and 85% on the final exam. Determine Marissa's course average.
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Quizzes: 10% value × 93% ( Marissa grade )
= 9.3%
Exams : 60% value × 86% ( Marissa grade )
= 49.6%
Final Exam : 25% value × 85% ( Marissa grade)
= 21.25%
Add all the grades:
5 + 9.3 + 49.6 + 21.25 = 85.15
Marrissa's average grade is 85.15%
I hope you understood my brief explanation. And please consider marking this awnser as Branliest if you think it deserves it. Thank you :) !
Marissa's course average is calculated by weighting each grade by its importance and then summing. This results in an overall average grade of 87.15%.
Explanation:To calculate Marissa's course average given the percentage weight of each grading category and her averages in each category, we multiply each of her grades by the respective weight, then add the weighted grades together.
So, the calculation would be as follows:
Attendance grade: 100% * 0.05 = 5
Quiz grade: [tex]93 * 0.10 = 9.3[/tex]
Exams grade: [tex]86 * 0.60 = 51.6[/tex]
Final exam grade: [tex]85 * 0.25 = 21.25[/tex]
Adding these up, we get [tex]5 + 9.3 + 51.6 + 21.25 = 87.15[/tex]
So, Marissa's course average is 87.15%
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75 percent of 88 is the same as 60 percent of what number?
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To find this number we multiply 88 by 0.75.
Hence, 0.75 * 88 = 66
Therefore, 60% of a certain number equals 66.
Then 1% of that certain number equals 66 / 60
Finally, to find our number (which equals 100%) we multiply by 100.
So 66 / 60 * 100 = 110.
Hence, 75 percent of 88 is the same as 60 percent of 110.
Sue plays on a soccer team. In one game this season, she scored 8 goals, which was one-fourth of the goals she scored for the whole season. How many goals in all did she score this season? (Please show work)
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or
8 ÷ 1/4 = 32
or
x = number of goals Sue scored this season
x × 1/4 = 8
now divide both sides by 1/4
x × 1/4÷1/4 = 8÷1/4
x = 32
Answer: 32 goals in all scored Sue this season.
Sue scored 8 goals in one game, which was one-fourth of her total goals for the season. Multiply 8 goals times 4, we find that Sue scored a total of 32 goals for the season.
Explanation:The problem describes Sue's performance in soccer which tells us that the 8 goals she scored in one game are equivalent to one-fourth of the total goals she scored for the season. To find the total score for the whole season, we have to multiply the periods' score by 4 which is the quotient of the total goals to the periods' goals. So, if 8 goals equals to one-fourth, her total score for that season is 8 goals * 4 = 32 goals. So, Sue, who plays on a soccer team, scored a total of 32 goals for the season.
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What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
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Answer:
b
Step-by-step explanation:
The equation of the line parallel to y = x + 4 passing through the point (6, 5) is y = x - 1, which has the same slope as the given line but a different y-intercept, determined by the given point.
Explanation:The question asks for the equation of a line that is parallel to y = x + 4 and passes through the point (6, 5). Since the line we are looking for must be parallel, it will have the same slope as the given line, which in this case is 1 (since the coefficient of x is 1 in the given equation). The general form of the line we're looking for is y = x + b, where b is the y-intercept. To find the specific equation, we substitute the point (6, 5) into the equation to solve for b:
5 = (1)(6) + b5 = 6 + b
b = 5 - 6
b = -1
Thus, the equation of the line that meets the conditions is y = x - 1, which is not represented in the options given. Since none of the options match, it's possible that there might have been a mistake in the options provided or an error in the transmission of the question. However, based on the information given, this is the correct equation for the line parallel to y = x + 4 that passes through (6, 5).
Kyle bought a pair of socks for $6. Last month, his friends bought the same socks for $5. What is the percent increase in the price of the socks?
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Price this month = $6
Increase in price = $6 - $5 = $1
Percentage increase = 1/5 x 100 = 20%
---------------------------------------------------
Answer: Percentage increase = 20%
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A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
a.find an explicit formula for anan: .
b.determine whether the sequence is convergent or divergent: . (enter "convergent" or "divergent" as appropriate.)
c.if it converges, find limn→∞an=limn→∞an= .
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[tex]a_2=23-13=(2\times12-1)-(12+1)[/tex]
[tex]a_3=34-14=(3\times12-2)-(12+2)[/tex]
[tex]a_4=45-15=(4\times12-3)-(12+3)[/tex]
[tex]a_5=56-16=(5\times12-4)-(12+4)[/tex]
Clearly, the general for the [tex]n[/tex]-th term is
[tex]a_n=(12n-(n-1))-(12+n-1)=10n-10[/tex]
(Aside: given the simple pattern, it's curious why the terms would be given the way they are. It's easier to divine [tex]10n-10[/tex] from [tex]a_1=0,a_2=10,a_3=20,\ldots[/tex], but that's just my opinion.)
The sequence does not converge. As [tex]n\to\infty[/tex], so does [tex]a_n\to\infty[/tex].
Please help me pleaseee
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the answer is D
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please explain how you got the answer.
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1. using the property of the inscribed quadrilateral it is possible to make up the system of linear equations:
2.
[tex] \left \{ {{A+C=180} \atop {B+D=180}} \right. \ =\ \textgreater \ \ \left \{ {{2x+3+C=180} \atop {3x+9+2x-4=180}} \right. \ =\ \textgreater \ \ \left \{ {{C=107} \atop {x=35}} \right. [/tex]
answer: 107°
The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 seats and 28 wheels. The equation representing the total number of seats is u+b=20 where u is the number of unicycles and b is the number of bicycles. Select the equation representing the number of wheels.
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A bicycle has 2 wheels. b bicycles have 2b wheels.
In u unicycles and b bicycles, there are a total of
u + 2b wheels.
We are told there are 28 wheels, so u + 2b must equal 28.
The answer is choice C. u + 2b = 28
The equation u+2b=28 represents the number of wheels, which is correct option(C).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 20 seats and 28 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 20 seats
⇒ u+b=20
unicycle has 1 wheel and bicycle has 2 and total there are 28 wheels
⇒ u+2b=28
Hence, this equation represents the number of wheels.
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Rosa has 5 pounds of apples how many pies with 8 ounces of apples can Rosa make
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80 divided by 8 is 10.
Hope this helps, sorry if wrong :)
16 ounces are in 1 pound. So, [tex]16*5=80[/tex]
Next you divide [tex] \frac{80}{8} =10[/tex]
The answer is 10 pies.
a proportion relationship is represented by the equation 2x=18y.If y=kx,where k is the constant of proportionlaity,then what is the value of K?
A.9
B.2
C.1/2
D.1/9
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.. 18y/18 = 2x/18
.. y = (1/9)x
selection D is appropriate
The total area of the state of tennessee is 69,919 square miles. The area of Nashville is 604 square miles. if a meteor were its land somewhere in the state, estimate the probability that it would land within the city limits of the capital.
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Answer:
44000
Step-by-step explanation:
e
i have done this before
how can you find x in the equation ax-bx+y=z
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A human hair was measured to be 8.0×10−4 inch thick. A cat hair was measured to be 4.0×10−1 inch thick. How much greater is the thickness of the cat hair than the human hair? Write the answer in standard form.
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Human hair: 8.0 x 10-4 = 0.00080
Cat hair: 4.0 x 10-1 = 0.40
Subtracting: 0.40 - 0.00080 = 0.3992
Using rules of precision, the answer becomes 0.40
Answer:
time 4learning answer is 500
Step-by-step explanation:
Would this be correct?
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whats the equation for this problem?
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if so please mark as Brainliest
Which situation CANNOT be represented by this equation? −14x+14=8
A hot-air balloon has a 14-foot diameter that each 14 of an hour gets steadily smaller.At what rate, x, does the balloon have to shrink per hour before it has shrunk to a diameter of 8 feet?
A hot-air balloon has a 14-foot diameter that is getting smaller at a rate of 14 foot per minute. How many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet?
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
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A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
We observe that when we clear x we have:
-14x = 14-8
-14x = 6
Which means that the balloon will not reach a diameter of 14 feet
Answer:
The third option is the answer.
Step-by-step explanation:
[tex]-14x+14=8[/tex]
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
The equation in this case will be : [tex]8-14x= 14[/tex]
What is the value of x? Enter your answer in the box. x=
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Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
A tee box is 48 feet above its fairway.
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Part A:
Factoring we have:
0 = -16 (t ^ 2 - 2t + -3)
0 = (t ^ 2 - 2t + -3)
0 = (t + 1) * (t-3)
t> 0
t-3 = 0
t = 3
Answer:
The ball is in the air for 3 s.
Part B:
h (t) = - 16t ^ 2 + 32t + 48
We evaluate for t = 1
h (1) = - 16 * (1) ^ 2 + 32 * (1) + 48
h (1) = 64
Answer:
The height of the ball at 1 second is:
h (1) = 64 feet
Part C:
We derive the equation and we equate to zero:
h '(t) = - 32t + 32
0 = -32t + 32
32t = 32
t = 1
h '' (t) = - 32 <0 (t = 1 is a maximum)
Answer:
Yes, The ball at its maximum height at t = 1 second.
f(t)=5t−7 please help
lllll
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-7
t= - -----
f-5
James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
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Based on the table:
Honor students:
315/356 = 88.48% is the total number of people who got the math class requested whereas
Non-honor students:
64/144 = 44.44% did not get the math class requested
So…
They will not have equal chance to get the math class they demanded, if both percent’s were equal, it would be just. For honors students, 88% of them will get the class they demanded, but for non honors students it's 44%.
Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?
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Colby will have 50 X (2 ^ 12) = 204,800
Jaquan finishes with 204,800 after its doubled 8 times (24 / 3). So she needs to start with 204,800 / 2 ^ 8 = 800
Answer:
800
Step-by-step explanation:
204,800 / 2 ^ 8 = 800
A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4,000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets in the factory after days. 2) After how many days will the factory begin producing trinkets?
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The expression for the number of trinkets in the company after d days would be 50000-4000d. The inequality going along with it would be:
50000-4000d<15000
We start by cancelling 50000 from both sides by subtracting:
50000-4000d<15000-50000
-4000d<-35000
Divide both sides by -4000:
-4000d/-4000 < -35000/-4000
d > 8.75
This would round up to 9 days.
Let x be a random variable with pareto distribution with parameter α . determine the probability distribution function of the random variable y = ln ( x ) . what kind of distribution does y have?
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[tex]F_X(x)=\mathbb P(X\le x)=\begin{cases}1-\dfrac1{x^\alpha}&\text{for }x\ge1\\\\0&\text{otherwise}\end{cases}[/tex]
and so
[tex]F_Y(y)=\mathbb P(Y\le y)=\mathbb P(\ln X\le y)=\mathbb P(X\le e^y)=F_X(e^y)[/tex]
[tex]\implies F_Y(y)=\begin{cases}1-e^{-\alpha y}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}[/tex]
[tex]\implies f_Y(y)=\dfrac{\mathrm d}{\mathrm dy}F_Y(y)=\begin{cases}\alpha e^{-\alpha y}&\text{for }y>0\\0&\text{otherwise}\end{cases}[/tex]
which is the PDF of an exponential distribution with rate parameter [tex]\alpha[/tex].
Nayati wants to swim 50 miles this school year. She plans to swim 1/4 mile each day. How many days will it take her to swim 50 miles. Show your work.
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200 x 1/4 = 50
which scale facor would produce an expansion under a dilation of the original image
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A junior baseball team plays 16 games each summer. Last summer the team scored an average of 3.25 runs per game during the first half of the season. The tteam scored a total of 29 runs during the second half of the season. How many runs were scored by the team last season?
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Final answer:
To determine the total number of runs scored by the team last season, we calculate the runs from both halves of the season. The team scored 55 runs in total, with 26 runs in the first half and 29 runs in the second half.
Explanation:
To calculate the total number of runs scored by the junior baseball team last season, we need to add the runs from the first half of the season to the runs from the second half of the season. The team played a total of 16 games, so the first half constitutes 8 games. They scored an average of 3.25 runs per game during the first half. To find the total runs for the first half, we multiply the average runs per game by the number of games:
First-half runs = Average runs per game × Number of games in the first half
First -half runs = 3.25 runs/game × 8 games = 26 runs
For the second half of the season, the team scored a total of 29 runs. Therefore, the total runs scored last season is the sum of the first and second halves:
Total runs = First half runs + Second half runs
Total runs = 26 runs + 29 runs = 55 runs
So, the team scored 55 runs in total last season.
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many gallons of water would be used?
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3 2/4 -------------> is (3*4+2)/4--------> 14/4-------> 7/2
2 2/3 --------------> is (2*3+2)/3--------> 8/3
if a new washing machine used 7/2 gallons of water ------------> one full load cloths
X gallons of water------------------------------------------------------> 8/3 of load cloths
X=(8/3)*(7/2)---------> X=56/6------->28/3 gallons of water
28/3--------> 9 1/3 gallons of water
the answer is
9 1/3 gallons of water
Least to greatest 1/2, 2/5, 6/10
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1/2=0.50
2/5=0.40
6/10=0.60
Least to greatest: 2/5, 1/2, 6/10
Hope this helped☺☺