Answer:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]
And we want to solve for g, the acceleration due to gravity.
Proceed with algebra:
[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Answer:
g = [tex]\frac{2(h - vt)}{t^2}[/tex]
Step-by-step explanation:
Given
h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )
h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )
2(h - vt) = gt² ( divide both sides by t² )
[tex]\frac{2(h-vt)}{t^2}[/tex] = g
Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?
Answer:
Import in 2012 was the greatest
Step-by-step explanation:
Given
l(t) = -33t² + 800t - 3000
9 ≤ t ≤ 13
Required
Determine the year with highest import.
To do this we simply substitute the values of t from 9 to 13 in the given function.
When t = 9
l(t) = -33t² + 800t - 3000
l(9) = -33 * 9² + 800 * 9 - 3000
l(9) = -33 * 81 + 800 * 9 - 3000
l(9) = -2673 + 7200 -3000
l(9) = 1527
When t = 10
l(10) = -33 * 10² + 800 * 10 - 3000
l(10) = -33 * 100 + 800 * 10 - 3000
l(10) = -3300 + 8000 - 3000
l(10) = 1700
When t = 11
l(11) = -33 * 11² + 800 * 11 - 3000
l(11) = -33 * 121 + 800 * 11 - 3000
l(11) = -3993 + 8800 - 3000
l(11) = 1807
When t = 12
l(12) = -33 * 12² + 800 * 12 - 3000
l(12) = -33 * 144 + 800 * 12 - 3000
l(12) = -4752 + 9600 - 3000
l(12) = 1848
When t = 13
l(13) = -33 * 13² + 800 * 13 - 3000
l(13) = -33 * 169 + 800 * 13 - 3000
l(13) = -5577 + 10400 - 3000
l(13) = 1823
Comparing the values of l(t) for the range of t = 9 to 13,
The highest value of l(t) is:
l(12) = 1848
Hence, the year with the highest import is 2012
The oil imports to the country are greatest during the year 2012
Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000
The oil imports more oil during the year 2012, is t = 12
I(12) = −33(12)² + 800(12) − 3,000
I(12) = -33(144) + 9600 - 3000
I(12) = -4752 + 6600
I(12) = 1848
Hence the oil imports to the country are greatest during the year 2012
Learn more on functions here: https://brainly.com/question/17192405
The length of a rectangle is 4 yd longer than its width. If the perimeter of the rectangle is 40 yd, find its area.
Answer:
96
Step-by-step explanation:
help me please this is due today
Answer:
T(-10, 7) U(-3, 7) V(-3,10) W(-10,10)
Step-by-step explanation:
I'm not 100% but I'm 90% sure I think all you have to do is flip the y to x and the x to the y value. Pls tell me if it is right??
Answer:
T(-10, 7) U(-3, 7) V(-3,10) W(-10,10)
Step-by-step explanation:
Three friends went to the movies. They shared a popcorn and a pack of
candy which cost $9, and altogether they spent $45. a) Write an
expression to represent the situation. b) How much was the price of each
movie ticket?
Answer:
Step-by-step explanation:
A) x+9 =45
x=45 - 9
x=36 cost the tickets
B) 36 :3=12 $cost a ticket
What is (-7) x (-3) in multiplying integers
Answer:
21
Step-by-step explanation:
negative x negative = positive the negatives cancel out each other
SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
I want to know-24 divided by -4
Answer: 6
Step-by-step explanation: -24/-4 = 6.
the answer is: 6
explanation: ...
The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?
Answer:
$26.82
Step-by-step explanation:
9 * 2.98 = 26.82
pls mark brainliest, thanks :)
What is the value of x?
Answer/Step-by-step explanation:
well, first figure out how many units/times prism A was enlarged to become prism B...
16 ÷ 2 = 8
Now if we apply that info to the length of the prism, then...
80 ÷ 8 = 10
Therefore x = 10
And the Prisms remain congruent and proportional!
Hope this helps!Please mark Brainliest!!! =DFind the indicated side of the
right triangle.
X=
Answer:
tan 30 = p/b
1/√3= 3/x
x= 3√3
please give brainliest as i am 3 short to expert
Step-by-step explanation:
Chris is going to play baseball every 2 days and he is going to play soccer every 3 days. what are the first 3 days that he will do both on the same day?
Answer:
6,12,18 days
Step-by-step explanation:
Just add 6 to 12 or 6 x 3
6th, 12th and 18th are the first 3 days that he will do both on the same day.
What is Number system?A number system is defined as a system of writing to express numbers
Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.
We need to find the three days that he will do both on the same day
To find this we need to find the common multiples between 2 and 3.
The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..
The multiples of 3 are 6, 9, 12, 15, 18...
Let us take first three common multiples of 2 and 3
Which are 6, 12 and 18
Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ3
PLZZZ HELP WILL GIVE BRAINLIST PLZZZ I REALLY NEED HELP At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? Show all of your work
Answer:
126
Step-by-step explanation:
90 / 500 = 0.18 = 18% probability.
So now what is 18% of 700?
0.18 * 700 = 126
A company’s sales increased 17% this year, to $8267. What were their sales last year?
Answer:
eekk im not shure sorry but it might be 8156 i no no
Step-by-step explanation:
2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it
by extending cach side 7 feet.
a. Represent the length and width of the original garden using an appropriate variable.
Width:
W.4
w
Length:
b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is
enlarged
Perimeter:
Answer:
P = 10W + 28
Step-by-step explanation:
Let L be the original length of the garden
W be the original width of the garden
If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W
If he is going to enlarge it by extending each side 7 feet, then;
The new length l = (4W + 7) feet
The new width will be w =(W+7) feet
Perimeter of the rectangular gerden P = 2(l+w)
l and w are the new length and width
Substituting l = 4W+7 and w = W+7 into the formula;
P = 2(4W+7+W+7)
P = 2(5W+14)
open the parenthesis
P = 10W + 28
Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28
Alg 2 Honors questions giving brainliest
Answer:
2h/ t^2 - 2v/t =g
Step-by-step explanation:
h = vt+1/2 gt^2
Subtract vt from each side
h - vt = vt+1/2 gt^2 -vt
h - vt = 1/2 gt^2
Multiply each side by 2
2( h-vt) = 2 * 1/2 g t^2
2 ( h-vt) = gt^2
Divide each side by t^2
2 ( h-vt) / t^2= gt^2/t^2
2/t^2 (h -vt) = g
Distribute
2h/ t^2 - 2v/t =g
what is f(0) ?
12 only
2 and 3 only
-2 , -1, 1 and 2 only
-2,-1, 1, 2 and 12
plzzzz help
Answer: it's 12 only
Step-by-step explanation:
4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)
4. Kamau wants to get change for a sh 1000 note. The change
is to consist of sh 500, sh 200, sh 100 and sh 50 notes
What is the smallest number of notes he can get?
[2003 No.
A. 4
B.
c.6
D.2
Answer:
2 notes
Step-by-step explanation:
500+500=1000/=
Kamau needs 2 notes
Define alternate interior angles
10 blue marbles, 3 white marbles, 15 violet marbles, and 5 green marbles, ratio of white marbles to green marbles?
Answer:
3:5
Step-by-step explanation:
10 Blue Marbles
3 white marbles
15 violet marbles
5 green marbles
Ratio: white to green marbles
ratio symbol ":"
3 White & 5 Green
Answer: 3:5
Hope this helps :) !!!
Solve: 2x + 27 = 3x - 9
x = 36
Step-by-step explanation:2x + 27 = 3x - 9
27 + 9 = 3x - 2x
x = 36
Answer:
ok
Step-by-step explanation:
box contains five while balls, four red balls and three blue balls. Suppose that three balls are randomly selected. a. What is the probability that exactly two of the balls are white ? b. What is the probability that one ball of each color is selected ? c. What is the probability that all three of the selected balls have the same color ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of white balls = 5
Number of red balls = 4
Number if blue balls = 3
Probability = required outcome / Total possible outcomes
Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12
a. What is the probability that exactly two of the balls are white?
(White, white, not white) or (not white, white, white) or (white, not white, white)
Assume balls were picked without replacement ;
P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606
P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606
P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606
P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818
b. What is the probability that one ball of each color is selected ?
(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)
P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545
(0.0454545 × 3) = 0.272727
c. What is the probability that all three of the selected balls have the same color ?
P(white, white, white) or P(blue, blue, blue) or P(red, red, red)
P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545
P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454
P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818
(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817
What is 456,345,698,746 ft in cm?
Answer:
13909416897778.08 cm
Step-by-step explanation:
Answer:
13909416897778.08 cm
Step-by-step explanation:
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Answer:
If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work
Step-by-step explanation:
State the domain and range and determine if its a function?
if jessie had 3 feet of string and maxine had 34 inches of string, who had more string
Answer:
Jessie
Step-by-step explanation:
12 inches = 1 foot
Jessie has 3 feet of string. So, multiply 12 by 3.
12 × 3 = 36 inches
36 inches is greater than 34 inches. So, Jessie has more string.
Hope that helps.
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4
make 2 2/5% a fraction in simplest form
Answer: 3/125
Step-by-step explanation:
Answer:
24/1000
Step-by-step explanation:
Step 1:
2 2/5% = 2.4%
Step 2:
2.4% = 0.024
Step 3:
0.024 = 24/1000
Answer:
24/1000
Hope This Helps :)
I really need help with this question
Answer:
The answer is 235.6
Step-by-step explanation:
You plug in the numbers to the equation.
(01.06)
i’m please help
Answer:
the answer is -6
Step-by-step explanation:
x^2+36=0
x^2= -36
√x^2 = √-36
x= -6