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
78=6 f please help solve ion have much time
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Answer:
hii
Step-by-step explanation:
will give brainliest
Which of these options are linear?
Answers
Answer:
B table
Step-by-step explanation:
The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.
Pls helpppp what’s the y in the solution
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Answer:
Y axis
Step-by-step explanation:
Answer:
Y axis
Step-by-step explanation:
2.6 times 10 to the power of 21
Answers
Answer:
2.6e+21
Step-by-step explanation:
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answers
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
i need help with this question...
2x + 3 ≤ 13
Answers
Answer: x ≤ 5
Step-by-step explanation:
The two circles have different diameters in the ratio 5:3.
(A) Calculate the radius of circle B if circle A has a radius of 35mm
(B) Calculate the area of circle A giving your answer to the nearest cm squared.
Answers
Answer:
a) 21 mm
b) 39 cm^2
Step-by-step explanation:
a) The ratio of the diameter from A to B is 5:3
Let the diameter of B be x
If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm
Thus;
5/3 = 70/x
5* x = 70 * 3
5x = 210
x = 210/5
x = 42 mm
So the radius of circle B will be 42/2 = 21 mm
b) The area of circle A
Mathematically we apply the area of a circle formula here
A = pi * r^2
A = 22/7 * 35 * 35
A = 3,850 mm^2
To convert this to cm^2, we will
need to divide by 100
That would be 3850/100 = 38.5 cm^2 = 39 cm^2
Express in the form n : 1.
Give n as a decimal.
6:4
Answers
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the loan?
a. 6
b. 7
c. 8
d. 9
e. 10
Answers
Answer:
7 Weeks
Step-by-step explanation:
Each week is 105 because 1500*.07=105
Then through the process of elimination I found it would take 7 weeks.
Simplify:
2 11/12 + 5 1/2 + 3 3/8
Write you answer as a mixed number.
Answers
Answer:
[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)
[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)
[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)
[tex]\frac{283}{24}[/tex] (this is improper, so you need to convert back to mixed by dividing)
[tex]11\frac{19}{24}[/tex] (this is your answer)
At the market you can buy 6 bags of apples for$31.02. At the orchard you can get 5 bags of apples for $25.40. Which is the better deal
Answers
Orchard: $25.40/5 bags of apples
Market: $5.17/bag of apples
Orchard: $5.08/bag of apples
So, in conclusion, the apples at the orchard have a better deal than the apples at the market by $0.09.
Have a great day and also, can you please mark my answer as the brainliest answer?
Thanks.
Buying bags of apples from orchard will be the better deal.
What is unit price?Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.
Formula used for finding unit price[tex]price of one item=\frac{total price }{total number of items}[/tex]
According to the given question
At the market:
Cost of 6bags of apples=$31.02
⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]
At the orchard:
Cost of 5bags of apples =$25.40
⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08
Therefore, unit price of a bag of apples from orchard is less as compared to the bag of apples from market.
Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.
Learn more about the Unit Price here:
https://brainly.com/question/10706678
#SPJ2
Hurry!! pls answer!! Rewrite this exponential equation as a logarithmic equation.
4e1
=
16
Answers
divide round and nearest hundredths place 4.05 / 0.07
Answers
Answer:
divide round and nearest hundredths place 4.05 / 0.07 the answer would be:
57.86
Np.
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answers
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answers
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
1. Dilate the function p(x) = (x+2),
by (2x + 4)
Answers
Answer:
Hi how are you doing today Jasmine
Please help like please, please 30 PTS to anyone that gets it correct+ plus brainly
Answers
Answer:
2 and 1/2
Step-by-step explanation:
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answers
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
i need help please right answers only
Answers
Answer:
-3/2
Step-by-step explanation:
Count up three times and to the left twice. Let me know if you need help with other questions!
Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm
Answers
Answer:
This other side of the triangle is equal to about 11.7 cm
Step-by-step explanation:
In order to find out the third side of the triangle we will just use the Pythagoras Theorem.
[tex]c^{2} =a^{2} + b^{2}[/tex]
Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...
[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]
[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]
And so b ≈ 11.66190
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answers
Answer:
25% chance
Step-by-step explanation:
Is the expression 2(5-4) numerical or algebraic
Please help asap
Answers
Answer:
Numerical
Step-by-step explanation:
This is a numerical expression because there are no variables; there are only numbers.
Answer:
The expression is numerical.
Step-by-step explanation:
It is numerical because it contains numbers and operations. Algebraic expressions contain variables.
for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37
Answers
9x = 180
X= 20
A is the answer
Hope this helps! Have a great day ^W*
Can someone help me with this ???
Answers
Y=-3/1 +2
Y-Intercept at (0,2)
If abc=dec, b=5x and e = 45
What is x?
Answers
Answer:
9
Step-by-step explanation:
5(9)=45
Answer:
Step-by-step explanation:
a5xc=d45c
according to this equality,
x=5
is 1 +4(3x -10) -12 equivalent to -9?
Answers
Solve for n.
6 = 2n − 2
n =
Answers
(-1,-4) and (3, -4) slope intercept equation
Answers
Answer: y = 0 - 4
Step-by-step explanation:
how many zeros would you need to write 10 to the power of 12 as a numeral in our base ten system
Answers
Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?
Answers
9514 1404 393
Answer:
$91
Step-by-step explanation:
The amount of interest earned is given by the formula ...
I = Prt
where P is the invested amount at rate r for t years.
Filling in the given values, we find the interest to be ...
I = $650·0.035·4 = $91
Ben will earn $91 interest in 4 years.