We need to find the integration of (36x²)x.dx .
We know,
[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]
Now,
[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]
Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .
Hence, this is the required solution.
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
Which pair of numbers has the greatest common factor of 3?
3 and 12
3 and 33
4 and 9
9 and 12
Answer: 9 and 12
Step-by-step explanation:
Answer:
9 and 12
I HOPE IT WILL HELP YOU?:-)
If points A,B and C are collinear, determine the value of x in the diagram.
Answer:
x equal four-teen... I'm pretty sure brainliest plsss
can someone please help? i need to find the slope of a line. it’s for a test!
Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
The slope is 2/3
Step-by-step explanation:
The equation that the graph gives us is y = 2/3x + 3.
With this equation, we know that the slope is 2/3.
Bonus:
With this equation, we also know that the y-intercept is 3.
Solve 6y + 2x = 14 for x.
SOMEONE PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
Recall that (a-b)(a+b) = a^2 - b^2
So,
(x-2i)(x+2i) = x^2 - (2i)^2 = x^2+4
(x+i-i)(x+1+i) = (x+1)^2 + 1 = x^2 + 2x + 2
(x-2+2i)(x-2-2i) = (x-2)^2 + 4 = x^2 - 4x + 8
4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?
Answer:
3/4
Step-by-step explanation:
there was 4/5 you just had to minis 3and 4
A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college students at her university, selects 500 of them at random, and emails a questionnaire to them 107 questionnaires are returned. Of these, 71% stated that they believe that the federal student loan program needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.
Population
all undergraduate college students all researcher's university
the 1196 undergraduate college students whose names were obtained
the proportion of all undergraduate college students at the researcher's university who believe that the federal student loan program needs to be completely overhauled
Sample
the 500 undergraduate college students who were randomly choosen
the 71% who stated that the federal student loan program needs to be completely overhauled
Complete Question
The complete question is shown on the first uploaded image
Answer:
Population
All undergraduate college students at the researcher's university ,
Sample
The 107 undergraduate college students who returned the questionnaire
Step-by-step explanation:
From the question we are told that
The list of undergraduate college students obtained from her university is n= 1196
The number of student that are randomly selected is n = 500
The number of e-mail that was returned is k = 107
The proportion that believes that the federal student loan program needs to be completely overhauled is [tex]\^{p} = 0.71[/tex]
Generally the population for this particular study is
All undergraduate college students at the researcher's university ,
this is because they are the total pool of data from which the statistical sample are randomly selected from
Generally the sample for this particular study is
The 107 undergraduate college students who returned the questionnaire
this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid
Do these ratios make a proportion? 4:10 and 6:15
I NEED THIS ASAP!!! Thanks!
To see if these ratios make a proportion let us first change them into fractions
= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5
= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5
= Since both these ratios are getting simplified into a same fraction , they are proportional .
Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )
Write in slope intercept form:
(-3,7) and (6,-8)
Answer:
[tex]y=-\frac{5}{3}x+2[/tex]
Step-by-step explanation:
So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.
Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]
So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).
[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]
Distribute the -5/3 on the right side.
[tex]y-7=-\frac{5}{3}x-5[/tex]
Add 7 to both sides.
[tex]y=-\frac{5}{3}x+2[/tex]
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3,7) and (6,-8)
m=-8-7/6-(-3)
m=-15/6+3=-15/9
m=-5/3
Now let us find the y intercept b.
7=-5/3(-3)+b
7=5+b
b=7-5
b=2
The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)
y=-5/3x+2
Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
To learn more on slope of line click:
https://brainly.com/question/14511992
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will made his mini pecan tarts for the southern themed school party he bought 20 pounds (320 ounces) of pecans for $78.40 he put 2 ounces of pecans in each pecan tart he made what was the cost of the pecans in each mini pecan tart
Answer:0.49$
Step-by-step explanation:
so now lets take a look. 320/2=160. 7840/160=49, so one pecan is 49 cents, or 0.49$
For babysitting, Zou Jing charges a flat fee of $10, plus $15 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? How many hours does Zou Jing need to babysit to afford a PS5 ($500)?
Answer:
C=5h+3 when h=5
C=28
Step-by-step explanation:
Use the image to answer the question below. 10 8 A B 10 8 10 -10 Which series of transformations would result in a figure that is congruent to the triangle ABC?
Answer:
c b a
Step-by-step explanation:
Answer:
cba
Step-by-step explanation:
sorry if its wrong
whats the square root of 10?? For each to the nearest 0.05.
Answer:
3.16(i think)
Step-by-step explanation:
Square the following numbers 4,6,13,10
Answer:
16 36 169 100
Step-by-step explanation:
Answer:
16, 32, 169, 100
Step-by-step explanation:
What does 3g=
In math 8th grade
Answer:
3g can mean several things, depending on the context of the problem. g can be a variable, but it can also mean "grams"
Step-by-step explanation:
Please help me!! Find the distance between points (-7,-4) and (-2,0)
Answer:
This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.
Step-by-step explanation:
3x - 6 + 4 = -20
Solve the multi-step equation and place the steps in the correct order.
ITEM BANK: Move to Bottom
3x - 2 = -20
3x - 6 + 4 = -20
3x = -18
x = -6
1
drag and drop answer here
2
drag and drop answer here
3
drag and drop answer here
4
drag and drop answer here
sally has $15,208 and wants to buy a tv for 16,000 round 15,208 to the nearest hundred
Answer:
15,200
Step-by-step explanation:
Answer:
15,200
Step-by-step explanation:
208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number
2/3-3/5 = ?/15-?/15
Answer:
10/15-9/15
Step-by-step explanation:
Answer:
2/3-3/5=10/15-9/15
Step-by-step explanation:
You want a common denominator which here is 15. To get to 15 in 2/3 you needed to multiply by 5 and in 3/5 you needed to multiply by 3.
What is 0.4 as a decimal
Answer: 0.40 and 40%
Answer:
40%
Step-by-step explanation:
Which choice is the correct answer for: 2.78 * 6?
12.78
16.28
13.18
16.68
Answer:
16.68
Step-by-step explanation:
You can either enter it into the calculator or do it the long way.
A. 48+1.2m>40
B. 40+1.2m<48
C. 48+1.2m<40
D. 40+1.2m>48
what is the denominator of 7/2 and 1/2?
9514 1404 393
Answer:
the denominator of each fraction is 2
Step-by-step explanation:
The numerator of a fraction is the number above the fraction bar; the denominator is the number below the fraction bar. In the fraction ...
[tex]\dfrac{7}{2}[/tex]
the numerator is 7, and the denominator is 2.
__
Similarly, the number 2 is below the fraction bar and is the denominator in the fraction ...
[tex]\dfrac{1}{2}[/tex]
The numerator is 1, and the denominator is 2.
_____
The denominators of both of these fractions are 2. Since they are both the same, that value (2) can be used as the common denominator of the sum or difference of these fractions:
[tex]\dfrac{7}{2}+\dfrac{1}{2}=\dfrac{7+1}{2}\qquad\text{or}\qquad\dfrac{7}{2}-\dfrac{1}{2}=\dfrac{7-1}{2}[/tex]
Easy math problem help me.I will give brainliest
Answer:
25
Step-by-step explanation:
plz help me find x!!!!!!!!!!!!!!!!
Answer:
A: 45
B: 110
C: 25
Step-by-step explanation:
all angles of a triangle always add together to make 180
x + 25 + x + 65 = 180
combine like terms
2x + 90 = 180
subtract 90 from both sides of the equation
2x = 180 - 90
divide both sides of the equation by 2
x = 90/2
x = 45
2/7 divided by 8/9. HURRY
Answer:
9/28 in fraction , 0.3214285714 in decimal
Step-by-step explanation:
0.32142857142 in decimal form
15/16 pi radians in degrees
Answer:
960 degrees
Step-by-step explanation:
16pi/3 times 180/pi
16/3 times 180
16 times 60= 960
hope this helps!!
Answer:
168
Step-by-step explanation:
e2020
A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?
Answer: 20
Step-by-step explanation:
Answer:
20 gal of gas
Step-by-step explanation:
200÷10=
20
South America's greatest river system is the ___________.
Mississippi-Missouri
Nile
Amazon
Rhine
Answer:
amazon
Step-by-step explanation:
its the biggest