Answer:
Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)
Step-by-step explanation:
2 5 7 Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? 0 2y - 12 0 207-12) O 200 + 12) 0 2y + 12
Answer:
2y - 12
Step-by-step explanation:
1. Two times of a number n is 2n2. Minus 12 is - 123. Together it is 2n - 12Correct answer choice is:
2y - 12Calculus (2) Master Needed to show steps of evaluating the integral b=0, a= pi/2 :[tex]\int\limits^a_b {(t^2-3t)sint} \, dt[/tex] I get stuck after applying integration by parts and simplified the negative, I get [tex](t^2-3t)*-cost |\frac{\pi /2}{0} + \int\limits^a_b {cost * (t-3)} \, dt[/tex] what am I supposed to do at this stage? Or did I do it wrong? Step by step is needed!
Answer:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin t\, dt = \pi -5[/tex]
Step-by-step explanation:
We want to evaluate the integral:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt[/tex]
Since this is a product of two functions, we can use Integration by Parts. Recall that:
[tex]\displaystyle \int u\, dv = uv - \int v\, du[/tex]
Let u be t² - 3t and let dv be sin(t).
Thus:
[tex]du = 2t - 3\, dt[/tex]
And:
[tex]\displaystyle v = \int \sin t\, dt = - \cos t[/tex]
So:
[tex]\displaystyle =\left(-\cos t\right)\left(t^2-3t\right)\Bigg|_0^{\pi/2}-\int_{0}^{\pi/2} \left(-\cos t\right)\left(2t-3\right)\, dt[/tex]
Simplify:
[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_{0}^{\pi /2}+\int\limits^{\pi/2}_ {0} \,\cos(t)(2t-3)\, dt[/tex]
We can use IBP once more.
Let u be 2t - 3 and let dv be cos(t). Therefore:
[tex]du = 2\, dt[/tex]
And:
[tex]\displaystyle v = \int \cos t\, dt = \sin t[/tex]
So:
[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_0^{\pi/2}+\left(\sin(t)(2t-3)\Bigg|_0^{\pi /2}-\int\limits^{\pi/2}_0 \, 2\sin(t)dt \right)[/tex]
Evaluate:
[tex]\displaystyle =-\left(\cos t\right)(t^2-3t)+\sin(t)(2t-3)+2\cos(t)\Bigg|_0^{\pi /2}[/tex]
Evaluate the first section:
[tex]\displaystyle \begin{aligned} &= -\cos\left(\frac{\pi}{2}\right)\left(\left(\frac{\pi}{2}\right)^2-3\left(\frac{\pi}{2}\right)\right)+\sin\left(\frac{\pi}{2}\right)\left(2\left(\frac{\pi}{2}\right)-3\right)+2\cos \left(\frac{\pi}{2}\right)\right) \\ \\ &= (0) + (1)(\pi -3) + (0) \\ \\ &= \pi -3 \end{aligned}[/tex]
And the second:
[tex]\displaystyle \begin{aligned} &= -\cos(0)((0)^2-3(0))+(\sin(0))(2(0)-3)+2\cos(0 ) \\ \\&=(0)+(0)+(2) \\ \\ &= 2\end{aligned}[/tex]
Therefore:
[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt = (\pi -3) -(2) = \pi -5[/tex]
You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled
using the function (0) - ** - 3x' . dx - 6, where x is the number of stops the bus makos. If the bus makes 2 stops after you board, how long does it take you to get to
school?
Answer:
7 minutes
Step-by-step explanation:
In order to find the zeros of f(x)=x2−8x+12, Jessica needs to first factor the quadratic function. Which of the following is the factored form of the function?
1000 coins are tossed find the probability of getting exactly 500 heads.
Answer:
probability of getting exactly 500 heads= 1
Step-by-step explanation:
If a coin is tossed, the probability of obtaining a head = 0.5
If a coin is tossed, the probability of obtaining a tail= 1- probability of obtaining a head
If a coin is tossed, the probability of obtaining a tail=1-0.5
If a coin is tossed, the probability of obtaining a tail=0.5
So if 1000 coin are tossed, the probability of getting exay 500 heads which is already the half of 1000 is 1
what is equivalent to 48+12.
Answer:
60
Step-by-step explanation:
x=48+12 Find what x is
x=60 X is 60
Tasha finds the length of the sides of the quadrilateral
before finding the perimeter. Which statement is true
about the length of the sides of quadrilateral ABCD?
O Side DA has a length of 13 units.
O Side AB has a length of 5 units.
O Side BC has a length of 2/5 units.
O Side CD has a length of 2/10 units.
Answer:C.
Step-by-step explanation:just took on edge
pls pls help meee Provide the missing reasons for the proof.
Answer:
b. common sides
c. from statement a and b
d. from statement c
f. from statement e
g. by SAS axiom
h. from statement g
What numbers is 90 divisble by
90 tiene 12 divisores:
1; 2; 3; 5; 6; 9; 10; 15; 18; 30; 45; 90
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; 10\, \;\ \\ $ } }\\[/tex]
Step-by-step explanation:
What numbers are divisible by 90?
For this question, there are more than 1 answer. I am doing the number 10 because it is easier.
I have attached an image. You will have to turn the image because it was taken from mobile.
Hope this helps!
How do you answer this question?
Answer:
Step-by-step explanation:
You would have 58 hours per day of work. We need to divide 720 by 58 in order to get your answer. Because 720 is 30 days times 24 hours.
Find FH
Need help ASAP !!
Answer:
FH=24
Step-by-step explanation:
37-13=24
Consider triangle GHJ. What is the length of line segment HJ.
Answer:
5 sqrt 3
Step-by-step explanation:
on edge 2020
If a car travels 10 ft due north and then 15 feet due west, how far is the car from it starting point?
Answer:
initial velocity = o
then , answer will be 0 because initial velocity.
displacement =o
A study was conducted on the relationship between speeds of cars and gas mileage. The correlation coefficient was 0.45. Later, the researchers found the speedometers read 5 mph too high. Researchers recomputed the coefficient. The new value will be:
Answer:
0.45
Step-by-step explanation:
The correlation coefficient is used to measure the relationship between how two variables change. In this question, the two variables are cars speed and gas mileage. Since the speedometers were wrong as they were 5 mph too high in a constant manner, then the correlation between how changes in speed affect gas mileage will not be changed.
For example, if we are measuring how an increase of 15 mph decreased gas mileage, we are looking at the change in speed and it is the same if we start with 75 mph and then increase speed to 90 mph, or if we start with 45 mph and then increase to 60 mph. The change in speed for both cases will remain unchanged at 10 mph.
Now, since we have seen that the change in speed remains unchanged and since correlation coefficient is a measure of the relationship between how two variables change, then the new value of the correlation coefficient will remain the same as 0.45.
Combine these radicals.
– бу 100 +36
оооо
о – бу 136
0 – 616
What the answer!
Answer:
Answer. 5.0/5. 6.
Step-by-step explanation:
I am not doing step by step you should know this
henry begins to drain a water tank by opening a valve. Then he opens another valve. Then he closes the first valve. He leaves the 2nd valve open until the tank is empty. Discrete or Continuous?
Answer:
Continuous
Step-by-step explanation:
There is never a period of time when the water's flowing halts because the opening and closing of the first and second pipe are overlapping. Hope this helps (:
9. Margie and Glenn are trying to solve the following system of equations.
5x - 4y= 23
7x + 8y = 5
Glenn thinks that the elimination method will not work. Margie is not so sure about that.
With your team, decide whether Glenn is correct and write a few sentences justifying
your conclusion. If the elimination method will work, show how. If not, use another
method to solve the system.
A scale drawing of a house shows 9cm
x10cm. If 6cm=12 ft, what are the actual
dimensions?
Answer:
what the answer is b
Step-by-step explanation:
hope this helped
a number is multiplied by 8 and that product is added to 2. The sum is equal to the product of 2 and 25 . Find the number
Answer:
6
Step-by-step explanation:
So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:
[tex]8x+2[/tex]
And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:
[tex]8x+2=50[/tex]
To find the number, we just need to find x. Thus, subtract 2 from both sides:
[tex]8x=48[/tex]
Divide both sides by 8:
[tex]x=6[/tex]
And we're done!
So, our original number was 6.
A tree is 4 1/2 feet tall. It is expected to grow 1 3/4 feet per year. At this growth rate, how many years will it take for the tree to have a height greater then 40 feet?
Answer:
21 years
Step-by-step explanation:
Given
[tex]Initial\ Height = 4\frac{1}{2}[/tex]
[tex]Final\ Height = 40[/tex]
[tex]Difference = 1\frac{3}{4}[/tex]
Required
Determine the years it'll take to grow to the final height
This question depicts arithmetic progression and will be solved using
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]T_n = 40[/tex]
[tex]a = 4\frac{1}{2}[/tex]
[tex]d = 1\frac{3}{4}[/tex]
Substitute these values in the given formula;
[tex]40 = 4\frac{1}{2} + (n - 1)1\frac{3}{4}[/tex]
Convert all fractions to decimal
[tex]40 = 4.5 + (n - 1) * 1.75[/tex]
Open Brackets
[tex]40 = 4.5 + 1.75n - 1.75[/tex]
Collect Like Terms
[tex]1.75n = 40 - 4.5 + 1.75[/tex]
[tex]1.75n = 37.25[/tex]
Divide both sides by 1.75
[tex]n = \frac{37.25}{1.75}[/tex]
[tex]n = 21.2857142857[/tex]
[tex]n = 21[/tex] (Approximated)
The number of years it will take for the tree to have a height greater than 40 feet is 23 years
Given:
Height of the tree = 4 1/2 feet
Growth rate per year = 1 3/4 feet
Expected growth rate = 40 feet
Expected Number of years = y
The inequality:
4 1/2 + 1 3/4y > 40
Subtract 4 1/2 from both sides
1 3/4y > 40 - 4 1/2
7/4y > 40 - 9/2
7/4y > (80-9)/ 2
7/4y > 79/2
divide both sides by 7/4
y > 79/2 ÷ 7/4
y > 79/2 × 4/7
y > (79×4) ) (2×7)
y > (316) / 14
y > 22.57142857142857
Approximately,
y > 23 years
Therefore, number of years it will take for the tree to have a height greater than 40 feet is 23 years
Read more:
https://brainly.com/question/3153507
This graph contains a Hamilton circuit? (Picture provided)
True
False
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p: n = 195, x = 162; 95% confidence.a. 0.788 < p < 0.873.
b. 0.789 < p < 0.873.
c. 0.778 < p < 0.883.
d. 0.777 < p < 0.884.
Answer:
c. 0.778 < p < 0.883.
Step-by-step explanation:
The formula for confidence interval for proportion =
p ± z score × √p(1 - p)/n
p = x/n
n = 195, x = 162
z score for 95% confidence Interval = 1.96
p = 162/195
p = 0.8307692308
p ≈ approximately equal to = 0.8308
0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195
0.8308 ± 1.96 ×√0.8308 × 0.1692/195
0.8308 ± 1.96 × √0.0007208788
0.8308 ± 1.96 × 0.0268491862
0.8308 ± 0.052624405
Confidence Interval
= 0.8308 - 0.052624405
= 0.778175595
Approximately = 0.778
= 0.8308 + 0.052624405
= 0.883424405
Approximately = p
0.883
Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883
What is 5.75 divide by 0.08
Answer:
71.875
use long division so the 5.75 goes on top of the 0.08
what is 11.510510510 as a fraction
Answer:
1151051051/100000000
Step-by-step explanation:
11.510510510 as a fraction equals 1151051051/100000000
Solving and Simplifying Equations
5r = -3(r +3) +7
Answer:
-2/8
Step-by-step explanation:
-3r-9+7=5r
-2=5r+3r
r=-2/8
hope this helped you( ꈍᴗꈍ)
Answer:
r = -1/4
Step-by-step explanation:
5r = -3(r + 3) +7
multiplying -3 with r + 3
5r = -3r - 9 +7
taking -3r on the other side of equality sign
5r + 3r = -9 + 7
8r = -2
dividing 8 by -2
r = -2/8
simplifying -2/8
r = -1/4
Find the difference of 3/4 and 1/28. 5/7,21/28,11/14,23/28
Answer:
5/7, pretty sure a 4th of 21
Step-by-step explanation:
Answer:
5/7
Step-by-step explanation:
2) Paul has two and two-thirds pounds of peanuts and a quarter of a pound of cashews . How many more pounds of cashews does he have
Answer:
Step-by-step explanation:
2 2/3
Including a 5% sales tax, an inn charges $160.65 per night. Find the inn's nightly cost before tax is added
Answer:
$80.12
Step-by-step explanation:
Step 1:
$160.65 × 0.5
Answer:
$80.12
Hope This Helps :)
Answer:
160.65*0.05-8.0325
160.65-8.0325=152.6175 so $152.62
Step-by-step explanation:
Multiply (2x - 3) and (3x + 6)
Answer:
Step-by-step explanation:
(2x−3)(3x+6)
=(2x+−3)(3x+6)
=(2x)(3x)+(2x)(6)+(−3)(3x)+(−3)(6)
=6x2+12x−9x−18
=6x2+3x−18
example of an irrational number between 5 and 6. thank you :)
Answer: 25 and 30 is an example... hope this helped. If you have any more question lmk