Answer:-4.683
Step-by-step explanation:
Took the test
If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?
Answer:
Step-by-step explanation:
[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]
so it is concave upward at t=0
Frame a linear equation for each of the following statements.
1. [tex]b[/tex]47 is 23 more than two times p.
2.[tex]b[/tex]One-fourth of p decreased by 3 gives −12
3.[tex]b[/tex]2 times p exceeds 15 by 3.
4. [tex]b[/tex]One-fifth of p decreased by 4 gives 6
Answer: chopstick
Step-by-step explanatio
Vhich number line represents the solution of 4x - 9> -21?
Answer:4x -9 >= -21
4x >= -12
x >= -12/4
x >= -3
so this number line started with -3 and go away till + infinity
hope this will help you
Step-by-step explanation:
Please find the correct answer will give high points, mark brainliest, give 4 stars, and hearts. PLS
Integrate :
[tex]\red{\footnotesize\displaystyle\bf \int cos^3 4x\:\:dx}[/tex]
Recall the half-angle identity for cosine:
cos²(x) = 1/2 (1 + cos(2x))
Then we can rewrite the integrand as
cos³(4x) = cos(4x) cos²(4x) = 1/2 cos(4x) (1 + cos(8x))
So we have
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int (\cos(4x) + \cos(4x)\cos(8x)) \, dx[/tex]
Next, recall the cosine product identity,
cos(a) cos(b) = 1/2 (cos(a - b) + cos(a + b))
so that the integral is equivalent to
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac12 \int \cos(4x) \, dx + \frac14 \int (\cos(4x - 8x) + \cos(4x + 8x)) \, dx[/tex]
[tex]\displaystyle \int \cos^3(4x) \, dx = \frac34 \int \cos(4x) \, dx + \frac14 \int \cos(12x) \, dx[/tex]
Computing the rest is trivial:
[tex]\displaystyle \int \cos^3(4x) \, dx = \boxed{\frac3{16} \sin(4x) + \frac1{48} \sin(4x) + C}[/tex]
3|x + 7| + 6 = 18 How many solutions are there to the equation?
Answer:
There are two solutions.
Step-by-step explanation:
x = -3
x = -11
Which equation could be represented by the number line?
[tex]Hiya![/tex]
Sokka is here to help!!
I believe it is D..
Hopefully, this helps you!
[tex]Sokka[/tex]
Answer:
I think it is C.
Step-by-step explanation:
It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.
Use your work from above to find the sum of 501+502+503+…+800
Answer:
Step-by-step explanation:
Gauss n(n+1)/2
which is n? the last number of the sum
500(500 + 1)/2 = 125,250
800(800+1)/2 = 320,400
uh oh forgot to read the last one, give me a minute. done
(800 - 501 + 1)(800 + 501)/2
300(1301)/2 = 195,150
or
320,400 - 125,250 = 195,150
Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?
Answer:
112
Step-by-step explanation:
32*2+29*2=112
solve for x someone pls help
Answer:
50+90+3x+1=180.....................
I DONT KNOW THIS QUESTION
there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects
Answer:
175000.(or around that number)
Step-by-step explanation:
half of 350,000 is 175000.
Use the similar triangles below to find the height of the tree
Answer:
D. 44 feetStep-by-step explanation:
The ratio of corresponding sides is same for similar triangles:
H/5.5 = 24/3H = 5.5*8H = 44 feetCorrect choice is D
SOMEONE PLEASE HELP ME
Answer:
D
Step-by-step explanation:
0.4 = 4/10 = 2/5
HELP I NEED THIS!! I'LL MARK BRAINLIEST
lines AB and CD are straight lines. find x and y
What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?
Answer:
-3 ,-4
Step-by-step explanation:
Answer: ( 3 , -4)
Step-by-step explanation:
i got it wrong at first and it told me the right answer
How do the slopes of A B ↔ and the parallel line through point C compare?
Answer:
The slopes of AB↔ and the parallel line through point C are equal.
Step-by-step explanation:
Edmentum
Answer:
The slopes of the parallel AB lines through point C are equal.
Step-by-step explanation:
Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.
Answer:55 nail boxes
Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304
when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.
to find out the number of nails in eadh box we divide 330/6=55
7x+3y=m, solve for y
the number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will
Answer:
Given:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
To Find:
Expansion of the given number = ?
Solution:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
By opening the squares, we get
⇒ \frac{23}{2\times 2\times 5}
2×2×5
23
⇒ \frac{23}{4\times 5}
4×5
23
⇒ \frac{23}{20}
20
23
⇒ 1.151.15
Simplify the following and write your answer in simplest radical form: Multiply the polynomials
25a² + 10ab² + b²
X.................5a + b²
________________
Answer:
Step-by-step explanation:
125a³ + 50a²b² + 5ab² + 25a²b² + 10ab⁴ + b⁴
125a³ + 75a²b² + 5ab² + 10ab⁴ + b⁴
1. In the expression at aⁿ,n is called
a. exponent
b.base
c. variable
d.number
The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.
Answer:
76377/9338912
Step-by-step explanation:
Which of the following statements are correct?
Please help
Answer:
True A. angles one and five are corresponding angles.
True B. angles three and six are alternate interior angles.
False C. angles two and seven are alternate interior angles.
Angles two and seven are alternate exterior angles.
False D. angles five and eight are alternate exterior angles.
Angles five and Eight are verticle angles.
False E. angles two and four are same-sided consecutive angles.
Angles two and four are supplementary angles
True F. angles four and six are same side consecutive angles.
True G. angles one and eight are alternate exterior angles.
Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and then spent half of the remaining money on a calculator. She had $8.00 left. How much money did she start with?
Answer:
$43.50
Step-by-step explanation:
(Work out backward to find the answer)
Remaining money => $8
=> 8 x 2 = 16
=> 16 + 4 = 20
=> 20 x 2 = 40
=> 40 + 3.50 = 43.50
= $ 43.50
Hence, she had $ 43.50 at the beginning.
What is the volume of a cylinder in cubic feet of a cylinder with a height of 3ft and a base diameter of 18ft, round to the nearest tenths place
Answer:
763.4 ft^3 to the nearest tenth.
Step-by-step explanation:
The base radius = 1/2 * 18 = 9 ft.
The volume = π r^2 h
= π * 9^2 * 3
= 763.407 f^3.
You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?
Answer:
Hi there, this is what I got but sorry if it is incorrect.
Hamburger Patties Package of 10 $15.50 Package of 8 $12.40
Hot Dogs Package of 12 $6.23 Package of 10 $4.99
Hamburger Buns Package of 8 $3.79 Package of 8 $3.55
Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55
Potato Salad Gallon $4.33 Gallon $5.55
Ice Cream Gallon $7.55 Gallon $6.99
Answer:
its )B
Step-by-step explanation:
Umm how to do rates
The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.
Which graph represents a proportional relationship?
Answer: The first graph
Step-by-step explanation:
A proportional graph always goes through the origin
Answer:
The first graph
Step-by-step explanation:
(x-4)2 = 36
Which of the following expressions represents the solutions to the given equation?
0-4+ V(36)
O4 + V(36)
16+ (36)