Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
If C is the midpoint of AB, find the value of x.
Answer:
5x+6= 10x-8
14= 5x
x= 2.8
Step-by-step explanation:
Please help me! Will actually mark Brainliest!!!!
Answer:
B
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
can someone see and answer this
Answer:
D
Step-by-step explanation:
you can rule out answers A through C because the y values never match up to the ones on the table. D shows an increase in y by 4
what is the answer? please
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
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Answer:
reasonable range: 0 ≤ y ≤ 5.5
Step-by-step explanation:
Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...
0 ≤ y ≤ 5.5
Someone please help me
Answer:
Hundreds is 8, tenths is 5, and thousandths is 1!
Answer:
Hundreds: 8
Tenths: 5
Thousandths: 1
Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) 8(8+4) 32(2)+1 32(2+1)
Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
i need help on questions 4, 5, and 6. please help!
Step-by-step explanation:
4) d = √(3-1)²+(7-(-1))²
=√2²+8² = √4+64 =√68
5) AD=29
AB =2x+4,BC=2x,CD=x
AD = 2x+4+2x+x
29=2x+4+2x+x
29=5x+4
29-4=5x
x=25/5
x=5
AB =2x+4
=2(5)+4 =14
BD = BC +CD
= 2x+x
=2(5)+5 =15
Rajesh and his brother Mohib are each mailing a birthday gift to a friend. Rajesh package weighs three more pounds than twice the weight of mohib's package The combined weight of both packages is 15 pounds
Answer:
Weight of Mohib package = 4 pounds
Weight of Rajesh package = 11 pounds
Step-by-step explanation:
Let
Weight of Mohib package = x
Weight of Rajesh package = 2x + 3
Total weight = 15
Total weight = Weight of Mohib package + Weight of Rajesh package
15 = x + (2x + 3)
15 = x + 2x + 3
15 - 3 = x + 2x
12 = 3x
x = 12/3
x = 4 pounds
Weight of Mohib package = x
= 4 pounds
Weight of Rajesh package = 2x + 3
= 2(4) + 3
= 8 + 3
= 11 pounds
Find each function value f(-7) if f(x) = 3x + 6
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)
Thanks to the rise of texting, emojis are becoming increasingly common. What does this suggest about graphics?
Question 2 options:
They are now a significant part of communication.
They are only used by young people in our society.
They will replace written language entirely one day.
They serve the exact same function as medieval illustrations.
PLEASE IM BEING TIMED
Answer:
A. They are now a significant part of communication
Step-by-step explanation:
take care
help a brother out ya boy is lazy and don't wanna work.
Answer:
10
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
Jessica earned some money babysitting. She spent 1/5 of her money on lunch. She spent 1/6 of her money on gas for her car. She saved the
remaining $78.40. How much money did she earn babysitting
The radius of a circle is 12 centimeters. What is the circle's area?
r=12 cm
Use 3.14 for a
square centimeters
Answer:A=452.16
Step-by-step explanation:
A=π·r²
A=3.14·12²
A=3.14·144
A=452.16
please help me with this
:(((
will give 5 stars
Answer:
3x^2+6x
Step-by-step explanation:
the 3rd one
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Pls help, SHOW WORKINGS/ explain
Answer:
C. corresponding angles
Step-by-step explanation:
I think this because 1 and 5 are on the same side and they're angles formed by the transversal line that cuts across
Can someone help me on this
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Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.
Find the missing side length
Maddie can not decide which of two Ski sets to buy. The original price of each is $850. The first ski set is marked 50% off. The second was marked down by 30% then a few days later an additional 20% off. 1. Find the sale price of the first ski set... 50% off. Show your work. 2. Find the Sale Price of the Second Ski Set Marked 30% then 20%. Show your work. 3. Which one is a better deal for Maddie and why?
Answer:
$425i. $595 ii. $476First skiStep-by-step explanation:
1. The first ski was valued at $850 but was then given a 50% discount. The sales price will therefore be:
= 850 * ( 1 - 50%)
= 850 * 50%
= $425
2. The first one was first discounted by 30% so the sales price was:
= 850 * ( 1 - 30%)
= 850 * 70%
= $595
It was then marked down by a further 20%:
= 595 * ( 1 + 20%)
= $476
3. The first ski is a better option because the discount makes it cheaper than the second ski even after the second ski had been discounted twice.
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Which of the following statements about JK and JL is true?
A. JK is longer than JL
B. JK and JL are the same length
C. JL is longer than JK
JK IS 9 units long
Answer:
jk is longer than jl
Step-by-step explanation:
The distance between J and L is more than J and K hence, the correct option will be (A).
How to find the distance between any two points?
To find the distance between any two points first assign any one point by (1) whose coordinates will be (x₁, y₁) and assign the remaining point with (2) whose coordinates will be (x₂,y₂).
Now, use the below formula to find out the distance
[tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
Let's assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign L by (2) whose coordinate (1,-1) work like (x₂,y₂).
Now by the distance formula, the distance JL is
⇒ [tex]\sqrt{(1-2)^2 +(-1-4)^2}[/tex]
⇒ [tex]\sqrt{(-1)^2+(-5)^2}[/tex]
⇒ [tex]\sqrt{26[/tex] = 2.236
Now again assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign K by (2) whose coordinate (7,-8) work like (x₂,y₂).
Now by the distance formula, the distance JK is
⇒ [tex]\sqrt{(7-2)^2 +(8-4)^2}[/tex]
⇒ [tex]\sqrt{(5)^2 +(4)^2}[/tex]
⇒[tex]\sqrt{(41)}[/tex] = 6.403
Hence, it's clear that the JK is longer than JL.
For more information about the distance formula
https://brainly.com/question/12441680
#SPJ5
Rose has a rectangular patio that is 5 tiles long and 8 tiles wide. She is changing the dimensions to 10 tiles long by 10 tiles wide. Draw a picture to determine how many new tiles Rose will add to her patio.
A. 5
B. 50
C. 60
D. 100
Answer:
C. 60
Step-by-step explanation:
First we mjust know that area is length times width (this will be the key to help you)
To find the old area we must: 5*8=40
Then we must find the new area: 10*10 = 100
Now we must subtract the tiles to get the new from old: 100-40=60
Therefore, your answer is 60.
Please mark me brainliest.
Please answer this I’ll give you brainliest!!!
Step-by-step explanation:
im not sure
X
X
60°
60°
X=[ ? 1°
Enter
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
How many quarters and dimes must Jada have to equal $2 and 17 coins?
quarters: 8
dime: 1
explanation: 8 quarters = 2$ and 1 dime = 10 cents
list the sides for shortest to longest
Answer:
ac ab bc
Step-by-step explanation: