Question:
The velocity function, in feet per second, is given for a particle moving along a straight line. [tex]v(t) = t^2 - t - 42[/tex] [tex]1 \le t \le 12[/tex]
Find the displacement
Answer:
The displacement is 42.17ft
Step-by-step explanation:
Given
[tex]v(t) = t^2 - t - 42[/tex] [tex]1 \le t \le 12[/tex]
The displacement x, is calculated using:
[tex]x = \int\limits^a_b {v(t)} \, dt[/tex]
[tex]x = \int\limits^{12}_{1} {t^2 - t - 42} \, dt[/tex]
Integrate
[tex]x = \frac{1}{3}t^3 - \frac{1}{2}t^2 - 42t|\limits^{12}_{1}[/tex]
Substitute 12 and 1 for t respectively
[tex]x = (\frac{1}{3}*12^3 - \frac{1}{2}*12^2 - 42*12) - (\frac{1}{3}*1^3 - \frac{1}{2}*1^2 - 42*1)[/tex]
[tex]x = (576 - 72 - 504) - (\frac{1}{3} - \frac{1}{2} - 42)[/tex]
[tex]x = (0) - (-42.17)[/tex]
[tex]x = 42.17[/tex]
Divide. Give the exact answer, written as a decimal. 0.4) 399
Answer:
0.001002506
Step-by-step explanation:
:) hehe oml word limitttt
Answer:
997.5 if you mean 399 divided by 0.4
0.00100250626 if you mean 0.4 divided by 399
Step-by-step explanation:
whats yall zodiac signss ima pisces also dont report me thx <3
Answer:
I'm gemini
Step-by-step explanation:
I won't report u cause I need these points
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Which table of ordered pairs represents a proportional relationship
Please help me if you are good at geometry! Thank you.
Ans:
TV = QS
Step-by-step explanation:
Because TV are parallel to QS
so TV is equals to QS
Answer:
1. angle PRS and angle VUW are supplementary - Given
2.m(angle PRS) + m(angle VUW) = 180. - Definition of supplementary angles
3. m(angle PRS) + m(angle SRU) = 180. - Angles forming a linear pair sum to 180 degrees.
4. m(angle PRS) + m(angle VUW) = m(angle PRS)
+ m (angle SRU) - Algebra
5. m(angle VUW) = m( angle SRU) - Transitive property of equality
6. Line TV || Line QS. - Converse of Corresponding Angles Postulate
Find the perimeter of the figure
Answer:
51
Step-by-step explanation:
Hey There!
To find the perimeter of any figure all you have to do is add up all of the side lengths
5+5+7+11+7+16=53
so the perimeter is equal to 51
Note: the 18 is from the bottom length of the figure
you would have to add the 5 and 11
the extra seven is from the very right side length
choose all that are correct.
1. Random samples from the same population will vary from sample to sample.
2. as the sample size increases, the sample distribution more closely resembles the population distribution.
3. vallues of a sample statistic of different random samples of the same size from the same population will be the same
4. if a random sample is chosen from a population with a large cluster of points at the maixmum, the sample is likely to have at least one element neat the maximum
Answer:
ennenennenenenenenennnnnnnnnnnnn nn
Answer: the answer is 1, 2, and 4
Step-by-step explanation:
I know this cause my teacher told me
Find the area of the figure below
Answer:
96m²
Step-by-step explanation:
Hello there!
The figure shown is an irregular figure so to make it easier we are going to split the irregular figure into two regular figures
A triangle with a height of 6 m and a base of 12 m
and a parallelogram with a base of 10m and a height of 6m
Now lets find the area of each individual shape
For the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h = height
Knowing the base and height all we have to do is plug in the values into the formula
[tex]A=\frac{6*12}{2} \\6*12=72\\\frac{72}{2} =36[/tex]
so we can conclude that the area of the triangle is 36 m²
Now lets find the area of the parallelogram
The area of a parallelogram can simply be found my multiplying the base and height
so A = 10 * 6
10 * 6 = 60
so the area of the parallelogram is 60 m²
Finally we add the two areas together
60 + 36 = 96m²
Thus the area of the irregular figure is 96m²
Rosnah gave 3/5 of a sum of money to her parents and divided
the remainder equally among her 4 brothers. Her parents
received $240. How much did each of Rosnah's brothers receive?
Answer:
$36 each
Step-by-step explanation:
240÷5=48
48x3=144
144÷3=36
b divided by 8 equals 21
Answer:
what
Step-by-step explanation:
Answer:
b = 168
Step-by-step explanation:
8* 21 = 168
17 = 4x - 3
A. X = 5
B. X = 17
C. X = 10
D. X = -5
Answer:
D. = 5
Have a great day! Hope this helped!
What do you do if a variable does not cancel out?
Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 14 hours and traveled 840 miles. At what rate did he travel on the first day, in miles per hour?
A.
60 miles per hour
B.
63 miles per hour
C.
58 miles per hour
D.
62 miles per hour
Answer:
A
Step-by-step explanation:
He traveled at a rate of 60MPH
I need help ASAP pls help me with this question on my no check in
Answer: The answer is C
What is the slope of the line that passes (3,8)(5,-4)
Answer:
The slope is 2
Step-by-step explanation:
Find the missing length indicated?
Answer:
D. 15
Step-by-step explanation:
Let the missing length be represented as x.
Thus:
(24 - x)/12 = x/20 => angle bisector theorem
Cross multiply
20(24 - x) = x(12)
480 - 20x = 12x
480 - 20x + 20x = 12x + 20x
480 = 32x
480/32 = 32x/32
15 = x
Missing length = x = 15
Can someone solve this ?plzz!!
Answer:
25/m^3
Step-by-step explanation:
(5m^2)^3 is just an expanded way of saying 125m^6. 125m^6/5m^9 is going to get you 25/m^3, as the 6 and the 9 cancel to get you 3 on the denominator, and 125/5 gets you 25.
what are these TwT i actually have no idea
Answer: The first one is 2
The second one is 2:1
Third one is 2
Step-by-step explanation:
hope these are right (not 100% sure)
ill mark brainlist plss help
HELP ME PLS I NEED HELP FOR THIS QUIZZ!!!
Find the Volume of the rectangular prism
PLEASE ANSWER ASAP!!!!
Answer:
280m^3
Step-by-step explanation:
here's your solution
=> l = 20 m
=> b = 7 m
=> h = 2 m
=> volume of cuboid = l*b*h
=> volume = 20*7*2
=> volume = 280m^3
hope it helps
Answer:
Volume of the rectangular prism=l×b×h=20×7×2=280m³
What is £21,067 divided by 12 to 2 decimal places
At a real estate agency, an agent sold a house for $327,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission? The agency made $ nothing on the house. The agent earned $ nothing in commission.
Solve x/-4-(-8)=12
Is the Answer -80, 80, 16 or -16
Look at the pic plz I need help!!!!!!!
Answer:
A) He used 2/3 yard of wire
B) He had 4/15 yard of wire left
Step-by-step explanation:
An electrician had 14/15 yard of wire
He used 5/7 of the wire
A) How many many parts of wire did the Electrician use?
This is calculated as:
5/7 of 14/15 yard of wire
= 5/7 × 14/15 yard
= 2/3 yard of wire
He used 2/3 yard of wire
B) How many yards of wire does the Electrician have left?
This is calculated as
14/15 yard - 2/3 yard
Lowest common denominator is 15
Hence:
14 - 10/15
= 4/15 yard of wire left
PLEASE ANSWER ASAP !!!
Answer:
Your best guess would be B
Step-by-step explanation:
Factor the polynomial: 8x^2 - 24x + 18
HELP I WILL MAKE BRAINLIST I NEED THIS QUICK
Answer:
DONT PRESS THAT ITS A VIRUS AND HACK ILL REPORT
Step-by-step explanation:
HOPE THIS HELPS YOU REMEMBER NOT TO PRESS THESE LINKS!
Need help ASAP! Due soon please -15 points and brainliest
Answer:
Answer D
Step-by-step explanation:
1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
She only has 8 remaining. How many friends does she have? 2) Jane spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $20. What is
her weekly allowance if she ended with $32? 3) 229 students went on a field trip. Six buses were filled and 5 students traveled in cars. How many students were in each bus?
Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus
Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.
2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).
3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.
I NEED HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2.1
Step-by-step explanation: