Answer:
6 + 29t - 16t^2 = 18
16t^2 - 29t + 12 = 0
t = (29 +- √(29^2 - 4*12*16))/32
t = (29 +- √73)/32
t = 0.639249882958827, 1.1732501170411
Step-by-step explanation:
The values of t for which the ball's height is 10 feet are approximately 0.71 seconds or 0.35 seconds
The given equation for the height of the ball is a quadratic equation, which is solved using the quadratic formula to find the values of t.
The quadrature formula for ax² + bx + c = 0 is:
[tex]x = \frac{-b \pm \sqrt{(b^2- 4ac)}}{2a}[/tex]
Given that,
The initial height of the ball: 6 feet
The initial upward velocity of the ball: 17 ft/s
The equation for the ball's height after t seconds: h = 6 + 17t - 16t²
The goal is to find the values of t for which the ball's height is 10 feet.
To find the values of t when the ball's height is 10 feet,
Set the equation h = 10 and solve for t.
Plugging in the given equation h = 6 + 17t - 16t²
And substituting h with 10, we get:
10 = 6 + 17t - 16t²
Rearrange the equation to solve for t.
16t² - 17t + 4 = 0
To find the values of t, we can use the quadratic formula:
In this case,
a = 16,
b = -17, and
c = 4.
Plugging these values into the quadratic formula, we get:
[tex]t = \frac{17 \pm \sqrt{((-17)^2- 4 \times 16 \times 4)}}{2 \times 16}[/tex]
Simplifying this equation, we have:
[tex]t = \frac{(17 \pm \sqrt{(289 - 256)}}{32}[/tex]
[tex]t = \frac{(17 \pm \sqrt{33})}{32}[/tex]
t ≈ 0.710 or 0.351
Hence,
Rounding to the nearest hundredth, we get two possible values for t:
t ≈ 0.71 seconds or 0.35 seconds
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This is due today by 12 pls help me, progress reports are tomorrow. I really need help.
I will thank you and give you 5 stars if you help me and 55 points.PLEASE HELP!!!!!!!!!!
Answer:A
Step-by-step explanation:
Arif’s grandfather is 9 times as old as Arif. Which of these could be the age of Arif’s grandfather? PLSS THIS IS SO CONFUSING!1
Answer:
what is the multiple choice how old is arif
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Ah
Step-by-step explanation:
Answer:
i belive it is Kilogram per cubic meter
Step-by-step explanation:
let me know if this helps!
when r=42, what is the value of 3r-3^3
Here please solve my mom is mean
Answer:
-3(2×7)= -6×-21
Step-by-step explanation:
You should just multiply the -3 by the missing place
In New York City, the cost to take a taxi can be represented with the equation y = .40x + 2.50, where x is the number of miles driven and y is the total cost. The cost of a taxi in San Francisco is shown in the table below.
Answer:
y = 0.45x + 2.85
Step-by-step explanation:
to solve we can first subtract the initial cost by taking the price at 0 miles and subtracting it from one of the higher numbers, we will go with $5.10 at 5 miles for this example
5.10 - 2.85 = 2.25
now we have the price for just the 5 miles separated from the initial cost, but we still need to figure out what each single mile is, so now we just divide by 5, one for each mile
2.25 / 5 = 0.45
so $0.45 is the cost to ride for one mile, and the initial cost is 2.85, now all we have to do is implement those numbers into a formula, since 0.45 is for each mile, it is multiplied by the miles, or x, so that will be put together below
0.45x
then we have the value to add to that, 2.85
0.45x + 2.85
and that is = to y, the cost to ride in a San Francisco taxi
The cost of a taxi in San Francisco is higher compared to New York and the equation of line is y = 0.75x + 2.85
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 0.40x + 2.50 be equation (1)
where y represents the cost of the taxi in New York for x miles driven
Let the first point be P ( 0 , 2.85 )
Let the second point be Q ( 5 , 5.10 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5.10 - 2.85 ) / ( 5 - 2 )
Slope m = 0.75
And , the equation of line for the cost of the taxi in San Francisco for x miles driven is given by
y - ( 2.85 ) = ( 0.75 ) ( x - 0 )
Adding 2.85 on both sides , we get
y = 0.75x + 2.85 be equation (2)
So , when x = 1 mile
y = $ 3.60
And , when x = 1 in equation (1) , we get
y = $ 2.90
Therefore , the cost of a taxi in San Francisco is higher compared to New York
Hence , the equation of line is y = 0.75x + 2.85 for the cost of taxi in San Francisco
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Can you please explain how to do this ..... a<4.7;a=5
Answer:
4.7= r/5
Step-by-step explanation:
Answer:
4.7= r/5
Step-by-step explanation:
Can someone please help me with this? It is due soon for a assignment at school....
please help me with these 2 questions
Determine the type of relationship that you would expect for the graph of the date below:
the number of hours spent studying and the test score
Answer:
Step-by-step explanation:
Negative I think
plz help on my math again
Solve the problem below, and use 3.14 for pi. 3. Find the volume of the cone. 12 in. d 8 in.
[tex] \frac{1}{3} \times 3.14 \times {4}^{2} \times 12[/tex]
=200.96
Volume of a right cone=
[tex] \frac{1}{3} \pi \: r ^{2} h[/tex]Answer:
Step-by-step explanation:
A circular soccer field has a radius of 9 ft. The circular fence around the field has a radius of 11ft. What is the area between the field and the fence?
Answer:
99 or 20 one of those lol
Step-by-step explanation:
Answer:
125.66 is the difference between the did and the fence.
Step-by-step explanation:
I'm not 100% sure. but hope it helps!
I NEED HELP AS FAST AS POSSIBLE
Answer:
68ft
Step-by-step explanation:
So first I separated the figure into two rectangles and found the area of each. The the first figure's area was 8ft and the next was 60ft. Therefore, 60 + 8 = 68ft.
Hope this helps!
PLZ ANSWER ASAP WILL AWARD BRAINLIEST!!!!
A 3-D printer is used to produce plastic models of crayons, which will be used as part of a larger model. The dimensions of the crayons will be shown in the attachment.
How much plastic is needed to make each crayon?
Use π=3.14 and round your answer to the nearest millimeter.
Enter your answer in the box.
hey i need help with this question
Answer:
C
Step-by-step explanation:
Hey There!
The answer to this question is C because the graph is telling us how many chirps per minute there will be as the temperature rises.
As the temperature rises by 1/4 of a degree the chirping per minute rises by 1
the y intercept represents the temperature at when the crickets aren't chirping
Answer this question please and thank you
Step-by-step explanation: 13.93 + 7.37 = 21.3 14 + 7 = 21
will give brainliest
Answer:
your answer will be A, C, D, and E
Step-by-step explanation:
hope it helps
have a nice day ^_^
Answer:
A,C,D,E
Step-by-step explanation:
HELP ASAP!!FIRST CORRECT ANSWER WILL GET BRAINLIEST!! which is the correct answer!!
BRAINLIEST IF CORRECT
PLEASE HURRY
Answer:
D- 8/7 × 3 because the fraction is greater than 1
Step-by-step explanation:
Hope that helped you and have a wonderful day!
Answer:
I think it would be D
Step-by-step explanation:
Which is greater, 40% of 70, or 70% of 40? Justify your explanation with work and/or an explanation.
Answer:
0.4 * 70 is 28
.7 * 40 is 28
Step-by-step explanation:
Both are the same.
pls help|
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All of them are equivalent expressions, except for the fourth one
Answer: All of the above, apart from four.
Step-by-step explanation:
Is the data symmetrical? If not, which way is the data skewed?
Answer:
The data is symmetrical
Step-by-step explanation:
In order for the data to be symmetrical, the mean and median have to be the same number, if they're not, then the data is skewed one way or another.
Hope this helps and have a good day/night!
Help and the one with the best answer gets branlest.
Answer:
uhhhh there's no question
Amelia works as a babysitter for an hourly wage of $8. Which equation represents the relationship between Amelia's total earnings (y) and the number of hours she works (x)?
1. 8y = x
2. y + 8 = x
3. y = 8x
4. y = x + 8
Answer:
3. y = 8x
Step-by-step explanation:
y = 8x
earnings (y)=$8×number of hours (x)
8 dollars is her hourly wage and that multiplied by the number of hours she works will give you her total earnings.
Hope this helps! :)
Jason claims that the value of x - r must be greater than the value of x - q. His reasoning is that r is closer to zero than q
Explain why Jason’s claim and reasoning are incorrect
Provide a correct claim and reasoning, explaining how the distances of r and y from zero support your reasoning
Answer:
Jason is not wrong
Step-by-step explanation:
What unit of measurement would you use to measure the distance from your home to the grocery store?
Should be meters right?
Centimeter
Meter
Millimeter
Kilometer
Answer:
the answer is kilometer.
Step-by-step explanation:
Unit of measurement would you use to measure the distance from your home to the grocery store is Kilometer.
What is distance?Distance is defined as the amount of space between two things or the state of being far apart.
The distance from your home to the grocery store is very far.
We know the far distance can be calculated in huge measurements.
From the given options, centimeter and millimeter are used for which can we see clearly enough means not soo much far.
Meter is quite large but not in comparison to calculate the road distance.
The best measurement for distance is Kilometer.
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The table of a linear function is partially completed below. What is the missing y-value to complete the table?
x y
-3
-2 0
-1 2
0 4
Help :(
Look at the screenshot please
Answer:
I’m pretty sure
Step-by-step explanation:
6 faces
7 edges
5 vertices
Answer:
There are 6 faces solid
There are 6 edges solid
There are 3 vertices solid
Step-by-step explanation:
I am not sure about the vertices though