John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
could you help me with this
Answer: 40
Step-by-step explanation:
All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.
Answer:
There would be 40
Step-by-step explanation:
give the answer of this question by using prime factorization in exponential form 486×768
Answer:
its 373248
Step-by-step explanation:
I got this by 2squared 9 and 3squared 6
I need help with this
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
help me!!!!!!!!!!!!!
Answer: 17
Step-by-step explanation:
2 x2 is 4 4+13 is 17
At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.
Answer:
-140C
Step-by-step explanation:
∆T = T2-T1
∆T = -50-90= -140C
60% of what number is 880?
Answer:
1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.
What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?
Answer:
The approximate probability that a random vehicle is a passenger car is 74.67%
Step-by-step explanation:
Probability
The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.
We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:
[tex]\displaystyle p=\frac{112}{150}[/tex]
p = 0.7467
p = 74.67%
The approximate probability that a random vehicle is a passenger car is 74.67%
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
a) complete the table of values of y=6-2x
b) draw the graph on the grid
c) solve 6- 2x = 3
10/9 in simplest form pls
[tex]1\frac{1}{9}[/tex]
60% is equal to what fraction in simplest form?
Answer:
3/5
Step-by-step explanation:
60 percent is the fraction 60/100 and simplifyping that by ten is 6/10
6/10 divided by two is 3/5
what is the rate of change for the function y= 5x+ 25
Answer:
5
Step-by-step explanation:
100% right!!
Answer:
5 or -5
Step-by-step explanation:
rate of change is the same thing as slope (or m)
I thought of a 2-digit number. It's a multiple of 9 and the sum of its digits is five times smaller than the number itself. What is my number?
Step-by-step explanation:
Since the sum of the digits must be an integer, the number itself must also be a multiple of 5.
Lowest common multiple of 5 and 9 = 45.
Therefore the number could be 45 or 90.
5(9 + 0) =/= 90, so 90 is incorrect.
Since 5(4 + 5) = 45, 45 is the answer.
Answer: 45
Step-by-step explanation:
We know that it has to be a 2-digit number. Its the multiple of 9. We see there is a number in the question. Five. I simply took 9 and multiplied it by 5 which gave me a total of 45.
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849
6. Two sides of a right triangle are 8" and 12".
A. Find the the area of the triangle if 8 and 12 are legs.
Answer:
a
Step-by-step explanation:
I will give you the brainlist and 5 stars if you answer this. This is for simple probability.
A refrigerator has a variety of drinks. The contents are shown below. if one drink is picked randomly, then which of the following is NOT true. This is the content:
Drinks: Quantity:
Water - 14
Cola - 28
Lemonade - 7
A. You are twice as likely to select a cola than a water.
B. You are half as likely to select a lemonade than water.
C. You are more likely to select a cola than a water or a lemonade.
D. You are twice as likely to select a water than a cola.
Answer:
d is false
Step-by-step explanation:
water = 14 and cola is 28
you are half as likely to select a water than cola
Find the value of x. 42 58 x
Answer:
38 48
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side.
PLS HELP!! answer the pic below
PLEASE HELP ME
Factor the quadratic equation x2 + 2x – 15 into the following format: (x + a) (x -b)
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2
Tell which number is greater.
1/3, 30%
please help me on this! will give u brainliest tyy.
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
anyone know the answer??
Answer
[tex]3.5 x 10^{3}[/tex]
Step-by-step explanation
5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m
9514 1404 393
Answer:
(b) 24 m²
Step-by-step explanation:
After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...
A = 1/2bh
A = 1/2(6 m)(8 m) = 24 m²
ANSWER NOW AND YOU GET 12 and ill answer one of ur questions
Answer Im going to geuss the last, Im not sure but it looks right.
Step-by-step explanation: heres my question--> https://brainly.com/question/20473783