Jeremy likes to paint. He estimates the number of paintings he completes using the function P of w equals one third times w plus four, where w is the number of weeks he spends painting. The function J(y) represents how many weeks per year he spends painting. Which composite function would represent how many paintings Jeremy completes in a year
Answers
Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.
What is meant by the word function?Math is a science that studies numbers, their variants, math and the tissues in the area, shapes, and both their real and possible locations. 'Function' refers to the relationship between a set of inputs, which each have a corresponding output. A function is a relationship between inputs in which each input yields a single variable, distinct output.
Here,
Given:
The quantity of paintings is returned by the function P, which accepts a number of months as an argument.
The function J returns the number of weeks in a year after accepting an undefined parameter.
P(weeks annually) = P(J(y)) seems to be the composites function that will provide the annual number of paintings.
Choice C is compatible with P(J(y)) = 1/3J(y) +4.
Therefore , the solution of the given problem of function comes out to be it is compatible with P(J(y)) = 1/3J(y) +4.
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Related Questions
so its really just bots on here dayum
Answers
Answer:
Yes only bots
Step-by-step explanation:
Answer:
ikr its so annoying
Step-by-step explanation:
Simplify the following expression. Pls help me. Im a 9th grader that cant algebra correctly.
Answers
Answer:
Step-by-step explanation:
i am sorry im in geomatry now and i don'teven know this
How long does it take for $250 to grow to $600 at 4% annual percentage rate compounded continuously? Round to
the nearest year.
Answers
Answer:
22yrs
Step-by-step explanation:
So, the money will grow to $600 in about$$ 22 years.
Which set of line segments could create a right triangle?
A. 24, 30, 35
B. 12, 18, 30
C. 18, 24, 30
D. 18, 24, 35
Answers
Answer:
C. 18, 24, 30
Step-by-step explanation:
Step by step
The answer above obeys pythagoras theorem law
Which system of equations can be used to find the roots of the equation 12 x cubed minus 5 x = 2 x squared + x + 6?.
Answers
We use the quadratic formula to find the roots of the quadratic equation.
The quadratic equation is given below:
f(x) = a\(x^{2}\) + bx + c = 0 where a, b, c
The system of equations used to find roots of equation is y = 12\(x^{3}\)-5x and y=2\(x^{2}\)+x+6.The given equation will be,12\(x^{3}\)-5x=2\(x^{2}\) + x + 6.
Now we take the root of equation into two parts:
1. Left-hand side
2. Right-hand side
Equation no.1 : 12\(x^{3}\)-5x=0
Equation no.2: 2\(x^{2}\)+x+6=0
Now we contains system of equation 0 with y.
So, the equation will be:
12\(x^{3}\)-5x=y
2\(x^{2}\)+x+6=y
However,system of equations can be used to find the roots of the equation 12\(x^{3}\)-5x=2\(x^{2}\)+x+6 is:
y = 12\(x^{3}\)-5x and y = 2\(x^{2}\)+x+6
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Let f be a continuous function on the closed interval [0, 2] . If 2 ≤ f(x) ≤ 4, then the greatest
possible value of (integral from 0 to 2)f(x)dx is
a. 0
b. 2
c. 4
d. 8
e. 16
Answers
The correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].
Given that 2 ≤ f(x) ≤ 4 for all x in the interval [0, 2], we know that the function f(x) is bounded between 2 and 4 throughout the interval. To find the greatest possible value of the integral of f(x) over the interval [0, 2], we want to maximize the area bounded by the function and the x-axis.
Since the function is continuous and bounded, we can use the Fundamental Theorem of Calculus to find the integral. The integral of f(x) over the interval [0, 2] represents the area under the curve of f(x) between x = 0 and x = 2.
The maximum possible value of this integral occurs when the function is at its upper bound of 4 throughout the interval. Therefore, the greatest possible value of the integral is the area of the rectangle with a base of 2 (the width of the interval) and a height of 4, which is 2 * 4 = 8.
Hence, the correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].
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Solve the following system of equations:
2x + 4y = 18
-3x + 2 = y
A.(-1, 4)
B.(1, 4)
C.(-1, 5)
D.(1, -1)
Answers
Answer:
Option C
Step-by-step explanation:
Given the following question:
\(2x+4y=18\)
\(-3x+2=y\)
To find the answer we need to find the values of each of the variables by solving one equation at a time, and then substitute those answers into each equation in till we have our answers.
\(2x+4y=18\)
\(-3x+2=y\)
\(y-y=0\)
\(-3x+2+ -y=0\)
\(2-2=0\)
\(-3x+-y=0+-2\)
\(-3x+3x=0\)
\(-y=3x-2\)
\(-y\div-1=y\)
\(3x+2\div-1=-3x+2\)
\(y=-3x+2\)
Substitute y for -3x + 2:
\(2x+4y=18\)
\(y=-3x+2\)
\(2x+4(-3x+2)=18\)
\(2x+4(-3x+2)=18=-10x+8=18\)
\(-10x+8=18\)
\(8-8=0\)
\(18-8=10\)
\(-10x=10\)
\(-10x\div10=x\)
\(10\div-10=-1\)
\(x=-1\)
Substitute x for -1:
\(y=-3x+2\)
\(x=-1\)
\(y=-3(-1)+2\)
\(-3\times-1=3\)
\(y=3+2\)
\(3+2=5\)
\(y=5\)
\(x=-1\)
\(y=5\)
Your answer is "(-1, 5)" or option C.
Hope this helps.
What is the approximate standard deviation of the returns on an average stock?
a. 15 percent
b. 25 percent
c. 20 percent
Answers
The approximate standard deviation of the returns on an average stock is typically around 15 to 25 percent. This indicates the volatility or risk associated with the stock's returns.
However, it's important to note that the actual standard deviation can vary depending on various factors, such as market conditions, industry trends, and company-specific factors.
Therefore, it is recommended to consider historical data, market analysis, and professional guidance when evaluating the standard deviation of a specific stock.
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Ernesto saves $5.25 every week about how many weeks will take Ernesto to save $315
Answers
Answer:
It will take 60 weeks for Ernesto to save $315
Answer:
60 weeks or 15 months.
Step-by-step explanation:
y = mx + b
315 = 5.25x + 0
Divide 315 by 5.25 and you get 60, so 60 weeks or 15 months. Check by plugging it into the equation.
315 = 5.25(60) + 0
315 = 5.25(60)
315 = 315
Lou Ann needed to mail 150 invitations to her school play. The invitations came 6 to a package. Which number sentence could be used to find out how many packages Lou Ann needed?
Answers
Lou Ann needed 25 packages that contains all the 150 invitations.
Lou Ann needed to mail 150 invitations to her school play. The invitations came 6 to a package.
What is Statistic?The statistic is the study of mathematics which deal with relations between comprehensive data.
Here, 1 package contains 6 invitation
so 1 package = 6 invitations
total invitation= 150 invitations
now number of packages = Total invitation/ 6 invitation = 150/6
=25
Thus the required number of packages is 25.
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Find the quotient of
1 2/3 ÷ 2 3/5
Give your answer as a fraction in its simplest form.
Answers
Answer:
25/39
Step-by-step explanation:
1 \(\frac{2}{3}\) = \(\frac{5}{3}\) (Multiply the denominator (3) by the whole number (1). Then add the numerator (2) to get the new numerator and convert to improper form).
3 × 1 + 2 = 5
2 \(\frac{3}{5}\) = \(\frac{13}{5}\) (Multiply the denominator (5) by the whole number (2). Then add the numerator (3) to get it the new numerator and convert to improper form).
5 × 2 + 3 = 13
Now we can more easily divide \(\frac{5}{3}\) ÷ \(\frac{13}{5}\).
To divide by \(\frac{13}{5}\), we can multiply by it's reciprocal: \(\frac{5}{13}\) (switch the numerator and denominator).
\(\frac{5}{3}\) × \(\frac{5}{13}\) = \(\frac{5*5}{3*13}\) = \(\frac{25}{39}\). There are no common factors between 25 and 39 besides 1. So it's already simplified.
What will be the cost of the paving if cement costs $26.50 per square metre?
Answers
Answer:
hey
Step-by-step explanation:
A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10 seniors. Four players are selected at random to serve as captains. Find the probability that
Answers
On solving the provided question, we can say that Probability ( At least one of the students is a senior) = 0.4632 approx
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
P(All four players are senior) = 0.00033 approx
P(There is one each: freshman, sophomore, junior and senior) = 0.0944 approx.
P(There are 2 sophomores and 2 freshman) = 0.0568 approx
P( At least one of the students is a senior) = 0.4632 approx
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Volume and Surface Area
Answers
1 )
\(volume = 20 \times 5 \times 8\)
\(volume = 800 \: \: {m}^{3} \)
\(surface \: \: area \: = 4 \times 20 \times 8\)
\(surface \: area \: \: = 640 \: \: {m}^{2} \)
_____________________________________________
2 )
\(v = 15 \times 3 \times 4\)
\(v = 180 \: \: {m}^{3} \)
\(s \: a \: = 4 \times 15 \times 4\)
\(s \: a \: = 240 \: \: {m}^{2} \)
_____________________________________________
3 )
\(v = ( \frac{1}{2} \times 4 \times 5) \times 10 \\ \)
\(v = 100 \: \: {m}^{3} \)
\(s \: \: a = (10 \times 5) + (10 \times 4) + (10 \times \sqrt{41} ) \\ \)
\(s \: a \: \: = 50 + 40 + 10 \sqrt{41} \)
\(s \: a \: \: = 90 + 10 \sqrt{41} \)
_____________________________________________
4 )
\(v = ( \frac{1}{2} \times 3 \times 4) \times 7 \\ \)
\(v = 42 \: \: \: {m}^{3} \)
\(s \: a \: \: = (3 \times 7) + (4 \times 7) + (5 \times 7)\)
\(s \: a \: \: = 21 + 28 + 35\)
\(s \: a \: \: = 84 \: \: \: {m}^{2} \)
Please Help Me Guys :)
Answers
Answer:
5. x=80°, y= 80°
Step-by-step explanation:
5.x=80 (Vertically opposite angle V.O.A)
y=80 (alternate angle)
Here is an equation that is true for all values of x: 6(x + 3) = 6x + 18. Londyn saw this equation and says she can tell 18( x + 3) + 32 = 3(6x + 18) + 32 is also true for any value of x. How can she tell? Explain your reasoning.
Answers
We need to decide whether the given equations are always or never true for values of x .The given equations are ,
\(x - 12 = x + 1\)solve out for x,
\(\longrightarrow x -x =12+1\\ \)
\(\longrightarrow 0 =13\\ \)
This can never be true. Hence the equation is never true for any values of x.
\(x + \frac{3}{4} = x - \frac{3}{4} \)solve out for x,
\(\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ \)
\(\longrightarrow 0=\dfrac{3}{2}\)
This can never be true. hence the equation is never true for any values of x.
\(4(x + 3) = 8x + 12 - 4x\)solve out for x,
\(\longrightarrow 4x +12=8x+12-4x\\\)
\(\longrightarrow 4x -8x +4x =12-12\\\)
\(\longrightarrow 0=0\)
hence this equation is true for all values of x.
\(2x - 8 - x = x - 8\)solve out for x,
\(\longrightarrow 2x -x -x =8+8\\ \)
\(\longrightarrow 0=0 \)
hence the equation is true for all values of x.
\(2(x + 5) + 3x = 5(x - 5)\)solve out for x,
\(\longrightarrow 2x +10+3x =5x-25\\ \)
\(\longrightarrow 5x -5x =-25-10\\\)
\(\longrightarrow 0 =-35\)
This can never be true. hence the equation is never true for any values of x.
and we are done!
(1 point) Consider the function f(x) = 2x^3 + 18x^2 - 42x + 2, -7 ≤ x ≤ 2. Find the absolute minimum value of this function. Answer: Find the absolute maximum value of this function. Answer:
Answers
The absolute minimum value of this function is -20 and the absolute maximum value of this function is 492.
To find the absolute minimum and maximum values of the function f(x) = 2x³ + 18x² - 42x + 2 in the interval -7 ≤ x ≤ 2, we need to follow these steps:
1. Find the critical points by taking the first derivative of the function and setting it equal to zero:
f'(x) = 6x² + 36x - 42
2. Solve for x:
6x² + 36x - 42 = 0
x = -7 or x = 1
3. Determine the value of the function on the critical points and endpoints of the interval:
f(-7) = 2(-7)³ + 18(-7)² - 42(-7) + 2 = 492
f(1) = 2(1)³ + 18(1)² - 42(1) + 2 = -20
f(2) = 2(2)³ + 18(2)² - 42(2) + 2 = 6
4. Compare the values:
The absolute minimum value is -20 at x = 1, and the absolute maximum value is 492 at x = -7.
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A house in Portland is worth $450,000 if it got appreciates at 7% per year how much will it be worth in three years? Pls help me asap
Answers
Answer:
$360,000
Step-by-step explanation:
Answer:
360,000 is the answer for that question
Part B
The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?
Answers
The volume of Kristina's second model pyramid is 66.15 cubic inches.
To find the volume of the second model pyramid, we first need to know the volume of the first model pyramid. We are given that the volume of the first model pyramid is 73.5 cubic inches.
Next, we know that the volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. Therefore, we can assume that the volume of the second model pyramid needs to be 9/10 the volume of the first model pyramid.
To find the volume of the second model pyramid, we can multiply the volume of the first model pyramid by 9/10:
73.5 cubic inches x 9/10 = 66.15 cubic inches
Therefore, Kristina needs to make the second model pyramid with a volume of 66.15 cubic inches to match the 9/10 ratio of Khafre’s pyramid to Khufu’s pyramid.
Note: The question is incomplete. The complete question probably is: The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid which is 73.5 cubic inches, what volume should she make the second model pyramid?
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What is the simplified form of each expression? (6 + 3)^2 - 4
Answers
Answer:
77
Step-by-step explanation:
(6 + 3)² is same as (a + b)²
Since (a + b)² = a² + 2ab + b²
Therefore,
(6 + 3)² - 4
= (36 + 36 + 9) - 4
= 81 - 4
= 77
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: \(\boxed{77}\)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Since PEMDAS exists, we will do parentheses "(6+3)" first to get 9.
Then we do the exponent which is:
\(9^{2}\) = 81.
Then we subtract.
81 - 4 = 77.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
More broken down explanation:
\((6+3)^{2} -4\)
Add 6 and 3 to get 9.
\(9^{2} - 4\) ≈ \(77\)
Calculate 9 to the power of 2 and get 81.
\(81-4\) = \(77\)
Subtract 4 from 81 to get, you guessed it, 77!Every month, Mr. Jones pays his school loans through automatic payments (withdrawals) from his savings account. He pays the same amount on his school loan each month. At the end of the year, his savings account balance changed by -$3,183 from payments made on his school loan. What is the change in Mr. Jones savings account balance each month due to his school payment?
Answers
Answer:
i think the answer is 265.25
Step-by-step explanation:
because there are 12 months in a year so 3,183 ÷ 12 = 265.25
part 2 of Question please help me
and thank you for your help
Answers
1 tick represents 8 units
A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?
Answers
Answer:
6
Step-by-step explanation:
10 runners
explanation:
1/4 x 10 = 2 1/2
Which exponential function is represented by the table
Answers
Answer:
for x = 0 ; we have f(x) = 0,5
We can eliminate the first and the last proposal because
f(x) = 0,2(0,5ˣ) ⇒ f(0) = 0,2(0,5⁰) = 0,2 × 1 = 0,2 ≠ 0,5
f(x) = 0,2(0,2ˣ) ⇒ f(0) = 0,2(0,2⁰) = 0,2 × 1 = 0,2 ≠ 0,5
Try for x = 1, we have f(x) = 0,1
f(x) = 0,5(5ˣ) ⇒ f(1) = 0,5 × 5 = 2,5 ≠ 0,1
f(x) = 0,2(0,5ˣ) ⇒ f(1) = 0,2(0,5) = 0,1 ⇒ ok
So the answer is f(x) = 0,2(0,5ˣ)
a proud parent made 2 batches of muffins for breakfast on the last day of school, only for the children of the house. if there are 11 muffins in each batch and 3 children in the house, what is the number of muffins per capita? round to 2 decimal places.
Answers
Number of muffins per capita is 7.33
Two batches of 11 muffins in each batch are made.
Therefore, Total muffins = \(2 \times 11 = 22\)
The muffins to be given to 3 children assuming that the parent won't have any.
\(\therefore \text{Per captia} = \frac{22}{3} = 7.33 \text{ muffins}\)
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Twenty caravans are traveling across the desert one day apart. The first caravan reached the oasis, and the camels drank half of the water in the pool. On the second day, the second caravan reached the oasis, and the camels drank one-third of the water that was left. On the third day, the camels in the third caravan drank one-quarter of the water that was left. On the first day, the pool contained 1050 m³ of water. How much water was left after the 20th caravan passed through?
Answers
The water that was left after the 20th caravan passed through the pool is 50 m³. Using fractions, the required value is obtained.
What are fractions?A fraction is a rational number that has the required part and whole part of an object.
Calculation:It is given that,
The total volume of the water in the pool is W = 1050 m³
Twenty caravans are traveling across the desert one day apart.
1) On the first day, the camel consumed half of the water in the pool.
Then we can write, water consumed by the camels on the first day = 1/2 × W
So, the remaining water left in the pool = W - W/2 = W/2 ...(i)
2) On the second day, the camel consumed one-third of the water in the pool.
Then, water consumed by the camels on the second day = 1/3 × W/2 = W/6
So, the remaining water left in the pool = W/2 - W/6 = 4W/12 = W/3 ...(ii)
3) On the third day, the camel consumed one-quarter of the water in the pool.
Then, water consumed by the camels on the third day = 1/4 × W/3 = W/12
So, the remaining water left in the pool = W/3 - W/12 = 3W/12 = W/4 ...(iii)
From (i), (ii), and (iii) we can observe that the denominator of the remaining water volume is increased by 1 every next day.
I.e., the general form we can write here is W/(n + 1)
Where W - the volume of the water; n - the number of days it reaches the pool.
Thus, on the 20th day, the camels will consumed the remaining water. I.e.,
The remaining water left in the pool = W/(20 + 1) = W/21
But we have W = 1050 m³
On substituting,
The remaining water left in the pool after the 20th caravan passed through = 1050/21 = 50 m³
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The total length of a road trip was 13.2 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answers
There will be 221 highway signs on the road trip.
What is Total Length?
Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).
The total length of the road trip is 13.2 hours.
Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:
(number of signs) = (total length of road trip) / (interval between signs) + 1
Substituting the values, we get:
(number of signs) = 13.2 / 0.06 + 1
(number of signs) = 220 + 1
(number of signs) = 221
Therefore, there will be 221 highway signs on the road trip.
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When is the exponential smoothing model equivalent to the naive forecasting model?
- a = 0
- a = 0.5
- a = 1
- never
Answers
Answer:
Step-by-step explanation:
a=0.5
Just need help with this one
Answers
Answer:
perimeter is 20 cm
Eight squared plus B squared equals 14 squared
Answers
\(8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}\)