Suppose h(t) = -5t^2 + 3 is the height of a diver above the water (in meters), t seconds after the diver leaves the springboard. PLEASE HELP 50 POINTS!!!!
a. How high above the water is the springboard? Explain how you know.
b. When does the diver hit the water
c. At what time on the diver's descent toward the water is the diver again at the same height as the springboard?
d. When does the diver reach the peak of the dive?
Answers
Answer:
brainliest please i work really hard for this
Step-by-step explanation:
Hit Water:
He hits the water when his height, h(t), is 0 meters above water.
0 =
This is no factorable so we use the quadratic formula.
(-b±√(b²-4ac))/2a
(-10±√(10²-4*-5*3))/2*-5
(-10±√(100+60))/-10
(-10±√160)/-10
(-10±√16*10)/-10
(-10±4√10)/-10
(-10±4√10)/-10 Seperate to two equations
(-10+ 4√10)/-10 and (-10- 4√10)/-10
(-10+12.65)/-10 (-10-12.65)/-10
-.265 Not Solution 2.265 Seconds
Becasue there is no negative time
The diver hits the water at 2.265 seconds
For when he is at the same height as the spring board, we need to find the height of the spring board, and we do that by substituting 0 for t because we need the height 0 seconds after he jumps.
h(0) = -5*0^2 +10*0 +3
h(0) = 3 The height of the spring board is 3 so we need to know when he is at 3 meters again.
3= -5t^2 + 10t + 3 Subtract 3 from both sides
0= -5t^2 +10t
0= -5(t^2-2t) Factor out -5 and divide both sides by -5
0= t^2-2t
0= t(t-2) Factor out t.
Solve.
t= 0 t-2=0
t= 2
He will be at the same height as the spring board at t= 2 seconds
Related Questions
For khan academy. Need help immediately. Explain if you can
Answers
Help will mark brainliest answer
Answers
Answer:
i think its 75
Step-by-step explanation:
bend your head to the right and compare to a 90 degree square
it's acute
Answer: 75°
Step-by-step explanation:
m∠BGC + m∠AGB + m∠AGE = 180°
m∠BGC + 31 + 74 = 180°
m∠BGC + 105 = 180°
m∠BGC = 75°
Could you write 9 inches and 180 as a ratio?
Answers
Answer:
9:120 but if simplified 1:20
Step-by-step explanation:
I hope this helps
crash my math class
i will put the link in the comment section. half of it in one comment and the other one in the next comment.
my class ends at 11:30 so hurry!!
Answers
Answer:
ok
Step-by-step explanation:
Answer:
didn't work
Step-by-step explanation:
Tyler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Equation:
Answer: X =
Answers
Answer:
Step-by-step explanation:
hblhhbbhbbhubulvt
Equation: 43.22 = 24x + 1.94
43.22 = 24x + 1.94
-1.94 -1.94
41.28 = 24x
/24 /24
1.72 = x
Answer: $1.72 per bottle of juice
HELPPPPPPPPP PLSSSSSSSSS
Answers
Answer:
The slope between (8, 10) and (14, -5) will be:
[tex]m=-\frac{5}{2}[/tex]Step-by-step explanation:
Given the points
(8, 10)(14, -5)Finding the slope between (8, 10) and (14, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(8,\:10\right),\:\left(x_2,\:y_2\right)=\left(14,\:-5\right)[/tex]
[tex]m=\frac{-5-10}{14-8}[/tex]
[tex]m=-\frac{5}{2}[/tex]
Therefore, the slope between (8, 10) and (14, -5) will be:
[tex]m=-\frac{5}{2}[/tex]What are the coordinates of point K?
Answers
Answer:
i think its b
Step-by-step explanation:
im not sure but i hope this helps
Answer:
the answer is the last one or D
Step-by-step explanation:
Courtney got 64 out of 75 correct on a test. What is the best estimate of the percent Courtney got correct?
85%
75%
117%
64%
Answers
Answer:
A
Step-by-step explanation:
trust me
The required percentage that Cortney got correct on the test will be; 85.33%.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
We have been given that Cortney got 64 out of 75 correct on a test.
We Need to determine the best estimate of the percentage Courtney got correct.
Here,
The Total question = 75
The correct question = 64
Then Percentage = 64 / 75 × 100
Percentage = 85.33%
Thus, the required percentage that Cortney got correct on the test will be; 85.33%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2
I really need help for this geometry question, I would appreciate any help thank you.
Answers
Answer:
75=x
Step-by-step explanation:
They are the same triangle indicated by the dashes and the angle marks
so x would be the same as the angle A
Triangles add up to 180 degrees
so
180-45-60=75
solve the equation by combining like terms: 3x-5+12-2x=12
Answers
Answer:
482
Step-by-step explanation:
3x-5=178+12=82-22x=482
X+7=12 (by combining like terms you have your X’s and your regular numbers. So in this equation we have 3x and -2x as like terms and -5 and 12 as like terms. We combine them to simplify the equation. So by combing 3x and -2x, 3+(-2x), we get 1x or just x. Then we combine -5 and 12, -5+12=7).
X+7=12
-7 -7
X=5
Good luck and I hope this helps!
A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are there in 3 cups of the cereal?
Answers
Evaluate the expression.
−14(−8) + 6 − 118 =
Answers
Answer:
0
Step-by-step explanation:
please actually help me. ill give brainliest if you explain your answer.
Answers
Answer:
subtract 11 from both sides
Step-by-step explanation:
-3x+11=44
-3x=33
x=-11
Answer:
Subtract 11 from both sides
Step-by-step explanation:
[tex]-3x+11=44\\\\Subtract 11 from both sides\\-3x+11-11=44-11\\\\simplify\\\\-3x=33\\\\Divide both sides by -3\\\frac{-3x}{-3} =\frac{33}{-3} \\x=-11[/tex]
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answers
Answer:
x=3
y=1
Step-by-step explanation:
We know that y is basically two less than x, so we can plug that into the second equation:
x+ (x-2) = 4
We can now simplify:
2x-2=4
2x=6
x=3
After finding x we can now find y with any equation (both work):
y= 3-2
y=1
Hope this helped!
Answer:
x = 3, y = 1Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 3 , 1 )
Hoped this helped :}write the slope-intercept form of the equation of the line.
Answers
Answer: y=x+2
Step-by-step explanation:
ok, so the points from the graph in the picture that i used were (0, 2) and (-2, 0).
(0, 2) is the y-intercept, which will replace b.
y=mx+2
the slope of the line is 1.
y=1x+2
y=x+2
What is the simplified version of the expression below? 1/2(3/4x+10)-2(x+1)
Answers
Answer: -1 5/8 + 3 or -13/8 + 3
Step-by-step explanation:
1/2 (3/4x + 10) - 2 (x + 1)
3/8x + 5 - 2x - 2
Combine like terms
3/8x - 2x + 5 - 2
-1 5/8 + 3
or
-13/8 + 3
Some campaigners want a maximum wage. This would be in a ratio of 10:1 with the minimum wage. If the minimum wage is £8.72 an hour for over 25's, what would the maximum wage be
Answers
Answer:
The value of the maximum wage is £87.2
Step-by-step explanation:
Here, we want to get the maximum wage given the ratio it has with the minimum wage
To get the value of the maximum wage, we proceed to multiply the value of the minimum wage by 10
Mathematically, that would be;
8.72 * 10 = £87.2
5. A cube has width of 8 cm. What is the volume of the cube?
Anyone got an answer?
Answers
Answer:
8×8×8 =512
Step-by-step explanation:
prove me wrong
Answer:
512 cm
Step-by-step explanation:
the formula to find volume is length × width + height (L×W×H) and since it is a cube all of the sides are equal so simply multiple 8 × 8 × 8 to get 512
Help please!
Write an inequality that represents the situation. A cat weighs less than 8 pounds.
Answers
w is a place holder for the cat's weight. It's some positive real number.
To describe all weights less than 8, we simply write w < 8.
For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.
Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.
help!!!!!!!! i have no clue
Answers
Answer: Non-proportional
Step-by-step explanation:
The unit rate for the gas per gallon is $3.17. You want to find out if that is equal to the amount you would pay for 10 gallons at once. If you multiply the unit rate by ten, you would get 10 gallons = $31.70
So...you know that it is not proportional
7:5 is equivalent to 21: ?
Answers
Answer:
7:5 is the same as 21: 15
Step-by-step explanation:
21/7 = 3 and 3*5=15
i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5
I hope this helps :)
Answer:the answer is 15
Step-by-step explanation:
I got it right lol
(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)
Answers
Answer: 11/3 or 3.6 or 3 2/3
Step-by-step explanation:
All you have to do is simplify the expression
help please !! Given sin theta= 2/5
and 0°
Answers
Answer:
C
Step-by-step explanation:
sinθ=[tex]\frac{2}{5}[/tex]
θ=sin⁻¹ ( [tex]\frac{2}{5}[/tex] )
θ=23.57817848
2θ=47.15635696
sin2θ=sin(47.15635696)=0.7332121112°≈ ((4[tex]\sqrt{21}[/tex])/25)
Khan Academy question thanks for whoever answers
Answers
Answer:
A.
Step-by-step explanation:
3х - 7= 2х + 3 help !
Answers
just add 7 to 3 and then subtract 2x from 3x and u get 1x=10
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answers
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answers
Answer 6
Step-by-step explanation:
I found the answer on calculator
Find the HCF of 32 and 50 using prime factors
Answers
Answer:
It’s 32
Step-by-step explanation:
they finish
There are 4 athletes at a track meet. How many different ways can
first, second, and third?
Answers
Answer:
4 ways i think
Step-by-step explanation:
Hope this helps!
Answer:
its 20
Step-by-step explanation:
hope this helps
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answers
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
