Answers
Answer:
A. 2
Step-by-step explanation:
[tex] \int_0^1 \: 5x \sqrt x \: dx \\ \\ = \int_0^1 \: 5x . \: {x}^{ \frac{1}{2} } \: dx \\ \\ = 5\int_0^1 \: {x}^{ \frac{3}{2} } \: dx \\ \\ = 5 \bigg( \frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1 } \bigg)_0^1\\ \\ = 5 \bigg( \frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2}} \bigg)_0^1 \\ \\ = 5 \times \frac{2}{5} \bigg({x}^{ \frac{5}{2} } \bigg)_0^1 \\ \\ = 2 \bigg( {1}^{ \frac{5}{2} } - {0}^{ \frac{5}{2} } \bigg) \\ \\ = 2(1 - 0) \\ \\ = 2[/tex]
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Related Questions
Dorothy put $470 into a savings account for one year. The rate of interest on the account was 5.5%. Find the interest earned on the amount.
Answers
Answer: $25.85 assuming annual compounding.
Step-by-step explanation:
PV=470
I/Y=5.5
N=1
CPT_FV
How much wrapping paper did he use ,in square inches
Answers
Answer:
96.76 square inches
Step-by-step explanation:
5.2x5.2=27.04
6.7x5.2/2=17.42
17.42x4=69.68
69.68+27.04=96.76
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
PLS HELP! Given the angles in the diagram below, what is m<2
Answers
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answers
Answer:
3 feet per minute
Step-by-step explanation:
Find how far the baby gets per minute by multiplying 3/4 by 4:
3/4(4)
= 3
So, the baby crawls 3 feet per minute
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answers
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12
Choose the correct description of the graph of the compound inequality:
x-3<-9 or x+5>equal to 12
Answers
Answer:
C
Step-by-step explanation:
x - 3 < -9
simplifies to x < -6, which is to the left with an open circle
x + 5> 12
simplifies to x > 7, which is to the right a closed circle
(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.
Answers
yeah yeah that’s what she was saying she didn’t yyyyyyyyu
I don't need a language ABC
Answers
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:
m∠A=45∘
m∠B=53∘
m∠C=82∘
What is the measure of angle Y?
Answers
9514 1404 393
Answer:
53°
Step-by-step explanation:
The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.
m∠Y = 53°
Answer: 53
Step-by-step explanation:
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
Answers
Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
A new scooter is valued at $15 000.
At the end of each year its value is reduced
by 15% of its value at the start of the year.
What will it be worth after 3 years?
Answers
here
p= 15000
r=15%
t= 3 yrs
now
depreciation = p(1-r/100)^t
= 15000(1-15/100)^3
=9211.875
=9212 or 9211.88
Given two consecutive integers whose sum is 45, find the smaller of the two integers.
Answers
Answer:
22 and 23
Step-by-step explanation:
let two consecutive number be
x and x+1
now,according to the question
x+x+1=45
or,2x=45-1
or,2x=44
or,x=44/2
:-x=22
Hence, the two consecutive numbers are
22 and 23
please help, i really dont understand. will give brainliest.
At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.
For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered?
*The answer is not 120 btw*
Answers
Answer:
I've done the math and it's 120, people say it's 120 and online 120, I really wanna help but I just
A hot air balloon is flying at an altitude of 2926 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 25°
25
°
, how far is the house from the pilot? Round to the nearest tenth.(1 point)
Choices:
The house is 1236.6 feet from the pilot.
The house is 6274.8 feet from the pilot.
The house is 3228.5 feet from the pilot.
The house is 6923.5 feet from the pilot.
Answers
Answer:
The house is 6274.8 feet from the pilot.
Step-by-step explanation:
if f(x)=3(x+5)+4/x, what is f(a+2)
Answers
Instructions: Find the missing side of the triangle.
25
20
х
X =
Answers
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 20² = 25²
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
HELPPP PLEASE!!!
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
Answers
Answers:
The expression is 12n
He reads 84 books in 7 months
==================================================
Explanation:
For 1 month, he has read 12*1 = 12 books
For 2 months, he has read 12*2 = 24 books
For 3 months, he has read 12*3 = 36 books
and so on
If we let n represent the number of months, then 12*n or 12n represents the number of books read after n months. The variable n is some placeholder for a positive whole number.
If we replaced n with say n = 7, then 12*n = 12*7 = 84 books are read in 7 months.
Find the value of y.
Answers
y=65
3 angles
triangle
in
ratio 1:3:3
3:.
Find the angles
Answers
Answer:
1st angle = 30
2nd angle = 60
3rd angle = 90
Step-by-step explanation:
let ,1st angle be x , 2nd angle be 2x and 3rd angle be 3xx+2x +3x =1806X =180x =180/6x =30what is x 4 +7x 2 +10
Answers
Answer:
[tex]\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
Step-by-step explanation:
[tex]x^4+7x^2+10:\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
if f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Answers
Answer:
18x-3
Step-by-step explanation:
f(x)= 3x + 10x
g(x)=5x - 3
f(x)+g(x) = 3x + 10x + 5x - 3
Combine like terms
= 18x -3
Answer:
3^x+15x-3
Step-by-step explanation:
this is the right answer i just did it
\
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
Answers
================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
Need help ASAP please
Answers
Answer:
10
Step-by-step explanation:
1. AB
2 BC
3. CD
4. DE
5. AC
6. B D
7.CE
8.AD
9.BE
10. A E
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
Submit Answer
PLS HELP ASAP
Answers
Answer:
(10,-1)
Step-by-step explanation:
A translation to the right is (x+5)
A translation down 2 is (y-2)
(5+5, 1-2)
(10,-1)
Answer:
(10, - 1 )
Step-by-step explanation:
A translation right 5 units means add 5 to the x- coordinate
A translation down 2 units means subtract 2 from the y- coordinate
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )
someone help please
Answers
Answer:
x=4
Step-by-step explanation:
3/4x +4 = 7
3/4x +4-4 = 7-4
3/4x = 3
Multiply each side by 4/3
4/3 * 3/4x = 3 *4/3
x = 4
Answer:
x = 4
Step-by-step explanation:
3/4x + 4 = 7
3/4x = 3
To remove the denominator, we multiply by 4 on both sides
3x = 12
x = 4
Plz tell me how to do question 18
Answers
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
i really need your help
Answers
What would be the 1st step in solving this problem:
(4-2+6) +9x7
Answers
Answer:
doing whatever is in the brackets or paranthesis
When 12% discount is given a calculator is sold for Rs 1760 find the marked price of the calculator.
Answers
Answer:
- Hello Risap!
[tex] \large{ \red{\tt{❃ } \: \blue{ PROVIDED}}}[/tex] : Discount % = 12% & Selling price [ SP ] = Rs 1760[tex] \large{ \tt{ \red{❀ \: \blue{TO \: FIND}}}}[/tex] : Marked price of the calculator [ MP ][tex] \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}[/tex]
[tex] \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}[/tex]
[tex] \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}[/tex]
[tex] \large{ \tt{⟶ \: 88 \: MP = 176000}}[/tex]
[tex] \large{ \tt{⟶ \: MP= \frac{176000}{88} }}[/tex]
[tex] \large{ \tt{⟶ \: MP = Rs \: 2000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \red{ \tt{MP = Rs \: 2000}}}}}}}[/tex]
Hope this helps! Let me know if you have any other questions regarding my answer and also , notify me if you need any other help! :)pi = c/d solve for d?
Answers
Answer:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
Step-by-step explanation:
Hi there!
[tex]\pi =\displaystyle\frac{C}{d}[/tex]
Multiply each side by d:
[tex]d\pi =\displaystyle\frac{C}{d}*d\\\\d\pi=C[/tex]
Divide both sides by π:
[tex]d=\displaystyle\frac{C}{\pi}[/tex]
I hope this helps!
