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
lydia wants to purchase guitar lessons she sees a sign that gives the price is 47 guitar lessons and 11 guitar lessons write a linear equation to find the total cost c for d lessons
Answers
Answer:
c = 58x
Step-by-step explanation:
A linear equation is an equation in the form of f(x) = mx + c. Where m is the slope and c is the intercept.
Let the price of one guitar lessons be x, then 47guitars will be 47x and 11 guitar lessons will be 11x. All together will be 47x + 11x = 58x.
Thus, the total cost, c, is
c = 58x
There are 12 green,22 white, 12 purple and 4 blue gum balls in the gum all machine what is the probability of getting white gum all write the probability as a percent
Answers
Answer: If you add all of these numbers of gumballs up you get 50. Since there is 50 gumballs,and 100 percent of that amount has to be filled,then you must make each gumball worth 2 percent. (12x2)+(22x2)+(12x2)+(4x2)=100
Green percent of getting=24 percent
Purple percent of getting=24 percent
Blue percent of getting=8 percent
White percent of getting=44 percent
The percent of getting a White gum is 44 percent.
how do I find the direction of the rotation and the magnitude
Answers
I dont know I would.ask the teacher
Han has Spent 75 minutes practicing the piano over the weekend priya practice the violin for 152% as much time as hand practicing piano how long does she practice
Answers
Answer: 114 minutes
Step-by-step explanation:
From the question, we are informed that Han has Spent 75 minutes practicing the piano over the weekend while Priya practice the violin for 152% as much time as Han used in practicing the piano.
Therefore, the number of minutes used in practicing by Priya would be gotten by multiplying 152% by 75 minutes. This would be:
= 152% × 75 minutes.
= 152/100 × 75minutes
= 1.52 × 75 minutes
= 114 minutes
can y’all help me???
Answers
Hiya! I need help please! Thanks I really appreciate it!
(2 screenshots included)
Answers
Answer:
8. the line the vertical
9. y=3/4x-10
Step-by-step explanation:
For number nine, you must find b with the information given if you were to use slope intercept form.
4= 3/4(-8)+b
4= -6+b
-10=6
Now, just plug this number back into the equation.
y= 3/4x-10
HELPP I'LL GIVE YOU BRAINIEST!! PLEASE SHOW WORK TOO!! ( ONLY PROBLEMS 1-8 )
25 PTS!!
Answers
Answer:
look in explanation
Step-by-step explanation:
1) bisector means cutting an angle in half. the small lines between segment SM and MT mean they are congruent. this means MW is a bisector. Since both halves of ST are congruent, we know SM = 19. 19+19=38
2) same logic here, M bisects ST. set both halves of ST equal to each other and solve.
3x-6=x+8
2x+14
x=7
plug back in to find MT (7)+8=15. MT=SM so double 15 to get ST. ST=30
3) the bisector will be exactly halfway between the points.
4) find difference between x and y values, and divide by 2
2-2=0 0/2=0 x moves 0
13-1=12 12/2=6 y moves 6
so add 0 and 6 to 2,1 to get (2,7)
5) same process
6--6=12 12/2=6
6-0=6 6/2=3
add 6 and 3 to -6,0 to get (0,3)
6) find the change in x and y between the coordinate sets. (x: 1- -1=2) (y: 2-4=-2) take the opposite of those values and add them to M
(x:1-2=-1) (y:2+2=4)
(-1, 4) are the other coordinates for C
7) take the same steps
(x:3-1=2) (y:7-1=6)
use -2 and -6
(x:3-2=1) (y:7-6=1)
(1,1) are other coordinates for C
8) use distance formula
sqrt (x1-x2)^2 + (y1-y2)^2
sqrt(1--1)^2 +(2-4)^2
sqrt (2)^2 +(-2)^2
sqrt 4+4
sqrt 8
9) same process
sqrt (-1-3)^2+(-5--8)^2
sqrt (-4)^2 +(3)^2
sqrt 16+9
sqrt 25
5
The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?
Answers
Answer:
y = 2.3x
Step-by-step explanation:
y = kx
52.9 = 23x
52.9 ÷ 23 = x
x = 2.3
heres what i needed help on
Answers
Answer:
1. 6000
2. 40.83%
3. 51.67%
4. misc
Step-by-step explanation:
1 add all the numbers together
2 divide payroll amt by entire amt
3 add the rent and inventory then divide by total spent in the month
4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)
Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
Answers
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
Learn more about the equation of a circle here-
https://brainly.com/question/10618691
#SPJ2
Need help with solving this equation
Answers
An angle measures 3.8° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer: 41.2 degrees
Step-by-step explanation:
Complementary angles are angles that add to 90 degrees, so if they were equal, they would be 45 and 45, but since one is 3.8 more, it is 45+3.8 = 48.8 and the other, to add to 90 degrees is 90-48.8 = 41.2
Evaluate the expression:
-(-49)
-48
-49
49
50
PLEASE HURRY AND ANSWER THIS
Answers
49, here's why...
a negative multiplied by a negative equals a positive, and if you're working with parentheses, and you don't see a sign, at all, then it means you have to multiply.
hope I helped :)
6a + 5a = 11
Just a little confused thats all
Answers
Answer
11a = 11
a = 1
Step-by-step explanation:
after graduating from college Carlos received two different job offers both pay starting salary of 62,000 per year but one job promises a 3720 raise per year while the other guaranteed to 5% raise each year complete the tables below to determine what salary will be after t years round your answers to the nearest dollar salary with 3720 t years 1 5 10 15 20 salary with 5% raise t years 1 5 10 15 20
Answers
Answer:
what the funk
make it shorter or something
Step-by-step explanation:
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answers
Answer:
< is greater sign and = is equal to sign
i need help on this
Answers
Answer:
(500÷1.8)÷60
By dividing 1.8 out of 500, u can know
16. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will
be blue?
Answers
Answer:
the probability of getting blue is 3/12 or 25%
Step-by-step explanation:
A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3
Answers
Answer:
9.85
Step-by-step explanation:
$68.95 Divided by seven friends = 9.85
You're Welcome :D
Which sentence represents the following inequality?
9(x+3) < 6x – 12
A. Nine times the sum of a number and three is less
than six times the same number decreased by
twelve.
B. The product of nine and a number increased by
three is less than the product of six and the same
number decreased by twelve.
C. Nine multiplied by the sum of a number and
three is greater than the product of six and the
Answers
Answer:
A is correctStep-by-step explanation:
Given
9(x+3) < 6x – 12Answer choices:
A. Nine times the sum of a number and three is less than six times the same number decreased by twelve.
9(x + 3) < 6x - 12CorrectB. The product of nine and a number increased by three is less than the product of six and the same number decreased by twelve.
9x + 3 < 6x - 12 WrongC. Nine multiplied by the sum of a number and three is greater than the product of six and the ...
9(x + 3) > 6x ...The last choice is incomplete but is wrong anyway by saying "greater"Convert the equation
2y + 4x = 10 to y = mx + b form
Show your steps.
I’ll mark as brainiest
Answers
Answer:
y=-2x+5
Step-by-step explanation:
Answer:
y=-2x+5
Step-by-step explanation:
First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.
The graph shows the number of miles you and a friend run each week while training for a race.
Answers
Answer: 4 miles
Step-by-step explanation:
Can someone help me? And explain it to me pls<3
Answers
Well, since they lost 9 1/1 yards after, we would go negative on the number line meaning that we would move 9 1/2 spaces to the left of the number line.
Now, when we move 9 1/2 spaces to the left of the number line, we get the answer if 0.5 yards.
Glad I could help
Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a StartFraction b Over c EndFraction a = 1, b = 5, c = 9 a = 10, b = 18, c = 1 a = 9, b = 5, c = 1 a = 1, b = 10, c = 18
Answers
Answer:
a = 1, b = 5, c = 9
Step-by-step explanation:
3 1/2 ÷ 2 1/4
= 7/2 ÷ 9/4
= 7/2 × 4/9
= (7*4)/(2*9)
= 28/18
= 14/9
= 1 5/9
Therefore
3 1/2 ÷ 2 1/4 = a b/c
Where,
a = 1, b = 5, c = 9
Answer:
above is right
Step-by-step explanation:
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
Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylor & Marty?
Answers
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Think about expecting an addition to your family. Think about the emotional preparations. Then think about having a miscarriage. In the space below, describe what it would feel like to have a miscarriage. Include steps you might take in the healing or recovery process?
Answers
Answer: I would be so sad if I had a miscarriage. I would surround my self with friends and family and get my favorite food and go to my favorite places to make me happier, and soon I would be happy again.
Step-by-step explanation:
Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive
Answers
Answer:
23 orange pins did Shelby receive.
Step-by-step explanation:
25% = 0.25
92 × 0.25 = 23
6th grade math help me plzzzz
Answers
I need an answer stat no guessing or be warned and....
Answers
Answer:
138 pieces
Step-by-step explanation:
You would expect 11.5 per oz because 184/16=11.5.
Then, you multiply 11.5 and 12.
138
160z=184p
184/16=11.5
11.5x12=138
Method 2
12x184= 2208
2208/16=138
Ans =138
12oz=138