Answers
Let f(x) be the integrand.
[tex]f(-2)=-8 \\ \\ f(0)=0 \\ \\ f(2)=8 \\ \\ f(4)=64 \\ \\ \implies \int^{4}_{-2} x^3 \text{ dx}=\approx \frac{1}{2}(2)[-8+64+2(0+8)] \\ \\ =\boxed{72}[/tex]
Related Questions
The inventor of a new game believes that the variable cost for producing the game is $0.50 per unit and the fixed costs are $4,300. the inventor sells each game for $1.89. let x be the number of games produced. (a) the total cost for a business is the sum of the variable cost and the fixed costs. write the total cost c (in dollars) as a function of the number of games produced. c = (b) write the average cost (in dollars) per unit c = c x as a function of x. c =
Answers
The total cost is represented as C = $0.50x + $4300 and the average cost as avgC = $0.50 + $4300/x
We have been given that,
The variable cost for producing the game = $0.50 per unit
The fixed cost for producing the game = $4300
Let the total cost be denoted by C.
And let x be the number of games produced.
a) Total cost = variable cost + fixed cost
C = $0.50x + $4300
b) Average cost = total cost/number of games produced
= C/x
= ($0.50x + $4300)/x
= $0.50 + $4300/x
Hence the total cost is C = $0.50x + $4300 and the average cost is $0.50 + $4300/x
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Write the fraction 12/28 in simplest form.
Answers
Answer:
3/7
Step-by-step explanation:
12/28=3*4/4*7=3/7
que es limite al infinito en calculo diferencial?
Answers
helpppp plssssssssss
Answers
Answer:
x=2
Step-by-step explanation:
11-2x=5x-3
the first step, move the 3 over
14-2x=5x
In the second step moves 2x over
14=7x
finally, we just isolate the x from 7 by dividing 7
14/7=7x/7
simplify
2=x or x=2
Answer:
x=2
Step-by-step explanation:
*Shown two ways to solve.
11-2x=5x-3
+2x +2x
11=7x-3
+3 +3
14=7x
Divide by 7.
2=x
11-2x=5x-3
-11 -11
-2x=5x-14
-5x -5x
-7x=-14
Divide by -7.
x=2
Check to see if you're right.
11-2(2)=5(2)-3
11-4=10-3
7=7
Yep, it's correct.
Hope this helps.
Given [tex]f(x)=\frac{1}{x+5}[/tex], find the average rate of change of f(x) on the interval
[1,1+h]. Your answer will be an expression involving h.
Pls halp
Answers
The average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h
How to find the average rate of change of f(x) on the interval [1,1+h]?The function is given as
f(x) = 1/(x + 5)
The interval is given as
[1, 1 + h]
Calculate f(1) as follows
So, we have
f(1) = 1/(1 + 5)
f(1) = 1/6
Calculate f(1 + h) as follows
So, we have
f(1 + h) = 1/(1 + h + 5)
f(1 + h) = 1/(h + 6)
The average rate of change of f(x) on the interval [1,1+h] is then calculated as
Rate = [f(1 + h) - f(1)]/[1 + h - 1]
This gives
Rate = [1/(h + 6) - 1/6]/h
Hence, the average rate of change of f(x) on the interval [1,1+h] is [1/(h + 6) - 1/6]/h
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7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds
Answers
Answer: B
Step-by-step explanation:
PLEASE HELP.. Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 46,638(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
A. y ≥ 0
B. y < 46638
C. 0 < y ≤ 46638
D. ℝ
Answers
Using it's concept, the range of the given exponential function is:
C. 0 < y ≤ 46638.
What is the range of a function?The range of a function is the set that contains all possible output values for the function.
In this problem, the function is:
y = 46,638(0.78)^x.
It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:
C. 0 < y ≤ 46638.
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Help?? The answer isn't -1026 btw i already guessed :(
Answers
Answer:
153
Step-by-step explanation:
12² - 3 [ 4([tex]\frac{1}{4}[/tex] - [tex]1^{8}[/tex] ) ] ← evaluate the inside part of the bracket
= 144 - 3 [ 4([tex]\frac{1}{4}[/tex] - 1) ]
= 144 - 3 [ 1 - 4 ]
= 144 - 3(- 3)
= 144 + 9
= 153
What is the difference between -21 and -8?
Answers
Answer:
-13
Step-by-step explanation:
(-21) - (-8) = -13
-21 - -8 = -13
Because of the two subtract signs next to each other before the number 8, they change to an addition sign.
From -21, move right 8 places along the number line because it is add 8.
-21 -20 -19 -18 -17 -16 -15 -14 -13
And you get to -13
Therefore, -21 + 8 = -13
Three times a number k minus 5/3 is no more then 4/9
Answers
Answer:
right that is good try hard
Answer:
( 3 * k ) - [tex]\frac{5}{3}[/tex] [tex]\leq[/tex] [tex]\frac{4}{9}[/tex]
Hope this helps.
Step-by-step explanation:
What’s the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?
7, 28, 63, 112.. 175..
Answers
Answer: 7, 28, 63, 112, 175, 252, 343, ...
Step-by-step explanation:
7, 28, 63, 112, 175
7*1, 7*4, 7*9, 7*16, 7*25, ...
7*1², 7*2², 7*3^2, 7*4², 7*5²
Hence, 7n², n=1, 2, 3, 4, ...
7*6²=
7*6*6=
252
7*7²=
7*7*7=
343
Thus,
7, 28, 63, 112, 175, 252, 343, ...
Answer:
good luck brooooooooooo
Which image displays a segment perpendicular to AC?
Answers
Answer:
B
Step-by-step explanation:
Image B displays a segment perpendicular to AC.
What is geometry?
Constructions are precise drawings of geometric shapes, angles, and lines. We'll need a pencil, a ruler (a straight-edge), and compasses to do this. The fundamental constructions are the perpendicular bisector and the angle bisector.
Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
If two geometric objects intersect at a right angle, they are perpendicular. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
In image B, the bisector BD is dividing the line AD into two equal halves.
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Systems by elimination
2x - y = 2
-8x + 4y = −8
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by elimination.
2x−y=2;−8x+4y=−8
Multiply the first equation by 4,and multiply the second equation by 1.
4(2x−y=2)
1(−8x+4y=−8)
Becomes:
8x−4y=8
−8x+4y=−8
Add these equations to eliminate x:
0=0
i need help please thanks
Answers
Answer:
the answer is the answer of the answer okay answer
Step-by-step explanation:
the answer is the answer of the answer okay aanswer
CRAFT FAIR Kylie is going to try to sell two of her oil paintings at the local craft fair. She is hoping to earn at least $400.
a. Write the inequality that represents the constraint of the situation, where x is the price of the first oil painting, and y is the price of the second.
b. Graph the inequality that represents the constraint on the sale.
Answers
The inequality that represents the constraint of the situation is x+y ≥ 400.
Inequality is defined as the mathematical expression in which both sides are not equal .
In inequalities the two vales are compared by "≤" , "≥" , "≠" .
For Example : 2x+3y≥4 is an example of inequality .
In the given question
Part (a)
Given Kylie sell first oil painting in $x
and second oil painting in $y.
Kylie is trying to earn at least $400.
the term at least means she can earn $400 or greater than $400, so ≥ sign will be used,
According to the question
we get , x+y ≥ 400
So , x+y ≥ 400, is the inequality that represents the constraint of the situation.
Part (b)
The Graph of the inequality x+y ≥ 400 that represents the constraint on the sale is shown below .
Therefore , the inequality that represents the constraint of the situation is x+y ≥ 400.
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Multiply. 6/7 ⋅ 4/15
A. 8/35
B. 14/45
C. 5/11
D. I don't know
Answers
Answer:
A
Step-by-step explanation:
Multply = 24/105
Divide by 3
8/35
6•4 = 24
7•15 = 105
simplify and you get 8/35 :)
matthew wants to estimate the mean number of sales from l'oreal makeup ads. he records the number of sales from 100 randomly selected l'oreal makeup ads. what is the population?
Answers
The population is the ads selected.
What is a population?A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data gathering and analysis in statistics and other branches of mathematics.
Now,
In the given number of sales from 100 randomly selected L'oreal Makeup ads,
The population is all the ads that are being selected for the sales, as it satisfies the definition of Population.Hence, the population is the ads selected.
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Which is traveling faster, the car or the train? be prepared to explain your reasoning.
Answers
This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems.
It also allows students to estimate decimal calculations.
Students are likely to approach the question in a few different ways. As students work, notice students using each strategy.
By finding or estimating the speed of the train in miles per hour and comparing this to the speed of the car
By finding the distance the car travels in 4 hours and comparing it to the distance the train travels in 4 hours
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GUYS HELP 4-10! ASAP IF YOU CAN EXPLAIN STEP MY STEP SO I CAN UNDERSTAND NEED MY GRADES UP! PLEASE HELP Please help. I need to get my grades up so the help would really mean a lot!
Answers
Step-by-step explanation:
so, the best way to help you is to help you understand how to solve such problems yourself.
let me know if you still don't understand something :
4.
this you can solve just by common sense.
let's see if you understand it with smaller numbers :
1 ball costs $3. how much will 2 balls cost ? well, twice as much : 2×3 = $6.
how much will 3 balls cost ? hmmm ? three times as much : 3×3 = $9.
and so on.
so, how much will 10 balls cost ? right, ten times a much : 10×3 = $30.
now,
8 eggs for 3 cups of flour.
how many eggs for 30 cups of flour ? you notice that 30 is 10 times 3, right ?
yes, ten times a many eggs : 10×8 = 80 eggs.
5.
3 quarters simply means 3/4.
if we want to know how much 3/4 of something is, we have to multiply that something by 3/4.
so, for 60 students :
60 × 3/4 = 180/4 = 45 students bring a lunch from home.
6.
similar to 4.
5 books in 2 days.
how many books in 8 days ?
you notice that 8 is 4 times 2 ?
so, yes, 4 times as many books : 4×5 = 20 books.
7.
now we are getting into areas, where we need more thinking and apply formal mathematics.
10 pounds jam requires 5 pounds apples.
8 pounds jam require x pounds apples.
the easiest way is to use ratios :
jam to apples = 10/5 = 2/1 = 2
8 pounds jam to x pounds apples must follow the same ratio, as we are using the same recipe.
8/x = 2
8 = 2x
x = 4
so, to get 8 pounds of jam we need 4 pounds of apples.
8.
it seems they were very, very hungry ...
Jenny ate 6 1/4 pizzas.
Dolly ate 5 1/4 pizzas.
6 1/4 = (6×4 + 1)/4 = 25/4
5 1/4 = (5×4 + 1)/4 = 21/4
so, Jenny ate 25/4 / 21/4 = 25/21 = 1.19047619... times more pizza.
or in other words she ate
25/4 - 21/4 = 4/4 = 1 more pizza.
9.
so, he wins 5 of every 15, that is a ratio of 5/15 = 1/3.
he had 75 matches. 1/3 of 75 matches (see also 5.) means
75 × 1/3 = 75/3 = 25.
he won 25 matches.
10.
Mrs. Paul is 145 cm tall.
the daughter is 1/5 of that. see 5. and 9. :
1/5 of 145 means
145 × 1/5 = 145/5 = 29 cm
her daughter is 29 cm tall (a baby).
The perimeter of Figure 1 is four times a number minus three.
The perimeter of Figure 2 is two times the same number plus five. The perimeters
of Figure 1 and Figure 2 are the same.
a. Write an equation to find the number.
b. Solve the equation to find the number.
c. What is the perimeter of Figure 2? Explain.
d. Find the perimeter of Figure 1. Compare the perimeter of Figure
perimeter you found for Figure 2 to justify the value of k is correct.
Answers
The answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.What is the circumference?The perimeter of a shape is the distance around its edge.So, there have been two figures provided.
Figure 1's perimeter is four times a number minus three, whereas Figure 2's perimeter is two times the same number plus five.Based on the data provided, we must solve the given subparts of the question.Let x be the number.
Figure 1's perimeter will be equal to 4x - 3.Figure 2's perimeter will be equal to 2x + 5.(A) According to the question, the perimeters of both figures are equal.
As a result, the equation will be:
4x-3 = 2x+5(B) By solving the equation:
4x -3 = 2x + 54x-2x = 3 + 52x = 8x = 4As a result, the answer is 4.
(C) Figure 2 perimeter = 2x + 5
= (2 × 4) + 5= 13As a result, the perimeter of figure 2 equals 13.
Therefore, the answers to all the subparts are:
(A) The number will be found using the equation 4x-3 = 2x +5.(B) We obtain a value of 4 after solving the equation.(C) Figure 2's perimeter will be equal to 13.Know more about equations here:
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how many 20mm long wire pieces could be cut from a 1 meter long wire piece
Answers
Step by step
1 meter wire = 1000 mm wire
Divide 1000mm wire by 20mm length pieces = 50 pieces
You can cut 50 x 20mm pieces from 1 meter of wire
Tulong bukas na deadlinee plss
Answers
Answer:
I don't know it like off
Given that
3x8 7:2
Calculate the value of x.
Give your answer in its simplest form.
X =
Answers
The value of x in the equation is x = -8/30
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the value of x?The equation is given as
3x + 8 = 7.2
Subtract 8 from both sides of the equation
3x = -0.8
Divide both sides by 3
x = -0.8/3
Rewrite as
x = -8/30
Hence, the value of x in the equation is x = -8/30
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Torvald uses an equation to produce the following table of
ordered pairs:
X
-2
0
y
-7
-3
1
5
Which equation describes this list?
24
Answers
Answer:
x + 4
For the equation to be true, you have to input the x value and it should give you the y value that corresponds. For example, we will input -2. Hopefully we get -7
-2 + 4
2
this means that x + 4 is not correct.
What about -3x? lets see
-3(-2)
-6
nope!
2x - 3
2(-2) - 3
-4 - 3
-7!!
2x - 3 is the answer!!
Step-by-step explanation:
I am willing to give a brainliest to anybody, just please help !!!
During which game is she more effective serving?
How did you find this answer and please show your work?
Answers
Answer: The First game with 16/19 serves
Step-by-step explanation: Fraction also means division. So once you divide both fractions, you'll see that 16/19 > 13/16. That shows that she was more effective in the first game.
please im begging you help me
Answers
Answer: Translation means you move a shape without rotating or flipping it and reflection is a mirror image of the shape. In the current example, the shape is translated right and down a noncalculable amount.
what is 5,435,778 expressed in scientific notation? a.5.435778 x 10 b.5.435778 x 10 c.5.435778 x 10 d.5.435778 x 10
Answers
5,435,778 in scientific notation will be 5.435778×10⁶.
Scientific notation is the way to represents huge numbers in simple form. This ease understanding and calculation of the numbers. When written in a scientific notation, the number is called coefficient, the number to which power is raised is called base and raised power is called exponent. For instance, in the given answer, 5.435778 is coefficient, 10 is base and 6 is exponent.
While converting the numbers into scientific notation, we need to remember following points -
If the number is greater than 1 or is a multiple of 10, the decimal will be placed on the Left Hand Side. Like in the number in question, decimal moved to left and we got positive exponent. If the number is less than 1, then decimal will be placed at Right Hand Side. In this case, the exponent will be negative. For instance, we will represent 0.005 as 5*10-³.Learn more about scientific notation -
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The complete question is -
what is 5,435,778 expressed in scientific notation? a.5.435778 x 10⁷ b.5.435778 x 10³ c.5.435778 x 10⁶ d.5.435778 x 10⁵
Pleasee help I need the answer rn
Answers
I'll give you the answer if you cas ap $2
there are eight friends each friend wants five gummy bears and there are nine gummy bears and each box how many boxes will they need
Answers
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
What is Division by Sharing?
A technique used to introduce the idea of division is sharing equally. It entails dividing a sum equally across groups, one at a time, until each group has the same amount. When teaching division by sharing, physical objects like counters are frequently used.let the number of gummy bears bag = x
9x/8 = 5
9x = 40
x = 4.4
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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It took Jane 3.5 hours to write 1 paper. At this rate, how long would it take Jane to write all 8 of her papers due this semester?