Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
Helpppppppppppppppp
My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain
Answer:
yes and no a.a
Step-by-step explanation:
Car A travels the fastest on 1 gallon of gas.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.
Consider us solving for the miles per gallon of individual cars
A. miles driven =140
A gallons= 5
x= 140/5
x= 28 miles per gallon
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ5
answer this asap plsssssssssssssssssssssss
Answer =6
Step-by-step explanation:
-2 through positive 3, i'm sorry if this is incorrect!
help please, thx <3
Answer: n=-42
Step-by-step explanation:
Take the given equation
-67 = n - 25
+25 +25
Add 25 to each side to cancel out the negative 25 on the right side
-67 + 25 = -42
n = -42
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answer:
increasing sequence of +7
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.
Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem:
The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
More can be learned about the t-distribution at https://brainly.com/question/16162795
A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?
Answer:
464 kg butter
Step-by-step explanation:
45% of 320 kg - 144
320+140-464
Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?
Answer:
0.37
Step-by-step explanation:
I need help. 18 = a/2
[tex]a = 36[/tex] ✔
Step-by-step explanation:
[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Um.. would anyone like to help? !
Answer:
12
Step-by-step explanation:
The function is just saying that 1/3 of a number is 4
Of the list given the only number when you take 1/3 of it equals 4 is 12
There is only one solution
12
Simplify the expression 2(10)+2(x-2)
Answer:
16 + 2x
Step-by-step explanation:
What's all equivalent to 7/8
Answer:
0.875?
Step-by-step explanation:
I just did 7 divided by 8
Answer:
14/16
49/56
Step-by-step explanation:
I looked it up for you!!!
If each side of the prism is three times longer, what is the volume of that prism
Answer:
1620 m³
Step-by-step explanation:
To find the answer, we simply have to multiply the three values by three, and then multiply those new values together. 5 x 3 = 15, 4 x 3 = 12, 3 x 3 = 9, Multiply 15 x 12 x 9 and you get 1620.
(P.S. Make sure you put meters cubed [m³]! Some teachers are very picky about that.)
A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence
Answer:
48 cans must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
PLEASE HELP ME I WILL GIVE BRAINLIEST
DONT STEAL POINTS PLEASE
HELP don’t answer of u don’t know ty
Answer:
Telling Now magazine costs the least per issue.
Step-by-step explanation:
Cost of Roller's Magazine per issue=$18/6=$3
Cost of International Traveler per issue=$32/8=$4
Cost of Telling Now per issue=$25/10=$2.5
Cost of Greatest Adventures per issue=$36/12=$3
The cost of Telling Now magazine per issue is the least one of all.
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
(>﹏<)
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of the lengths of their edges?
Answer:
8:1
Step-by-step explanation:
Volume of a cube = Length of edge³
So the equation for the small cube is,
V=L³
If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:
V = (2L)³
= (2³)L³
= (8)L³
Combining these two in ratio form:
(8)L³ : (1)L³
You can remove the L³ from each side because they are equal
So the answer is 8:1
A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.
9514 1404 393
Answer:
158,000
Step-by-step explanation:
Using the given square feet for x in the equation, we have ...
y = 0.071×1483 +52.48 = 157.773
We presume this is supposed to represent the estimated value of the house in thousands.
The fair price is estimated to be 158,000.
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
Mary has a garden shaped like the figure below. The drawing is not to scale.
22 ft
18 ft
18 ft
11 ft
14 ft
5 ft
What is the area of the garden?
Answer:
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
14 x 5=70
22 x 4 = 88
14 x 6 =84
84/2= 42
70 + 88 + 42 = 200
find an ordered pair (x, y) that is a solution to the equation 4x-y=5
Answer:
An ordered pair that is a solution to the equation is (2,3).
Step-by-step explanation:
To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.
4x-y=5
Using y = 3
4x - 3 = 5
4x = 8
x = 8/4 = 2
An ordered pair that is a solution to the equation is (2,3).
Which angle measure is a complement of an angle whose measure is 62 degrees?
A 96
B 118
C 16
D 28
angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.
Answer:
D 28 is your answer
the first one help please asap, i will mark as brainliest
Answer:
They originally paid $28,750
Source:
Trust me bro, I used a calculator
59,000-1500= 57,500/2=28,750
Need help question #4. Show steps please
Answer:
C.
Step-by-step explanation:
We are given the integral:
[tex]\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx[/tex]
And we want to select its equivalent form.
We can simply divide the fraction. Therefore:
[tex]=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx[/tex]
Simplify:
[tex]\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx[/tex]
Our answer is C.
WHAT'S 675 DIVIDED BY 8 HELPPPP PLEASE TELL ME THE NUMBERS TO SHOW MY WORK
Answer:
85.625 is the answer
Step-by-step explanation:
or, 85 whole 5/675
SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT
Answer:
a F
Step-by-step explanation:
Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.
If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.
Answer:
option A F is the answer
3.6 x 10^-5
Step-by-step explanation:
i have a tip for you,
if the number is smaller starting with 0.000....
then the exponent will be a negative number
what about this one. pls help me
Answer:
54
Step-by-step explanation:
486(1/9)
Answer:
I believe it’s 54 more people
Step-by-step explanation:
Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.