If a certain cannon is fired from a height of 9.8 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Answer:
6.53 s
Step-by-step explanation:
The height of the cannon ball is represented by a quadratic function as:
h(t) = -4.9t² + 30.5t +9.8.
At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8
That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:
h(t) = -4.9t² + 30.5t +9.8
It touches the ground when h(t) = 0. Hence:
0 = -4.9t² + 30.5t + 9.8
Solving the above quadratic equation gives:
t = 6.53 s and t = -0.31 s
Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.
Plz help need help please
Answer:40 teenagers
Step-by-step explanation:
To find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%. After you find that, you would multiply the answer by 2. Equation: 2000÷100= 20 · 2= 40.
40 teenagers
So we know that to find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%.
After you find that, you would multiply the answer by 2.
Equation: 2000÷100= 20 · 2= 40.
Final result: 40
Is(1, 9)a solution to the inequality y ≤ 6x + 2?
Answer:
nope
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot
You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set? You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set?
Answer:
Original price = $49.98
Step-by-step explanation:
Target has it listed for $34.99 which is 70% of the original price.
Let the original price be x.
ATQ,
[tex]70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98[/tex]
So, the original price of the Lego set is $49.98.
Graph y-4=2x and identify
the slope and y-intercept.
Answer:
slope is 2 and y-intercept is (0, 4)
Step-by-step explanation:
Answer:
s- 2 y int- 4
Step-by-step explanation:
Hi can you help me with this?
Answer:
-3.9/1
Step-by-step explanation:
Answer:
I think 5
Step-by-step explanation:
9 ×+1-4 hdjxnxnnxnx
Mario is a landscape architect who needs to buy 17 shrubs for a foundation planting. Azalea plants cost $20 each, rhododendrons cost $25 each. If he spent exactly $400, how many of each shrub did he buy?
Answer:
he bought 45 shrubs. Let me know if this worked for you.
Step-by-step explanation:
Find the percent of change when 40 is increased to 83.If necessary, round your answer to the nearest tenth.
Answer:0.5
Step-by-step explanation:
Because you put the old figure over the new figure(in this case 40/83)
Answer:
107.5
Step-by-step explanation:
Hope this helps. God Bless
Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out the probability that both the desserts and the drink are sugar free. Give your answer as a fraction
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
The probability of selecting a sugar free dessert and drink is 2/5
Number of sandwiches = 6
Number of dessert = 3
Number of drinks = 5
Sugar free drinks = 3
Sugar free dessert = 2
Recall :
Probability = required outcome / Total possible outcomes
P(both dessert and drink are sugar free) :
(sugar free dessert) × p(sugar free drink)
(2 /3) × (3 / 5) = 6/15 = 2 / 5
Hence, the probability of selecting a sugar free dessert and drink is 2/5
Learn more : https://brainly.com/question/18153040
To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent decrease for calorie intake?
Answer:
22%
Step-by-step explanation:
The change in calories = 1950 - 2500 = -550
percent decrease for calorie intake = (change in calories / initial calorie intake ) x 100
[tex]\frac{-550}{2500}[/tex] X 100 = -22%
Answer:
22%
Step-by-step explanation:
i did the quiz
1 Ft = 12 in ? Need help
hi pls help i’ll give brainliest if you give a correct answer
Answer:
0.47..................
Step-by-step explanation:
..........
Help me out I’m trying to sleep :(
Answer:
It’s a
Step-by-step explanation:
goodnight go sleep
There are 12 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Select the correct answer.
Which statement is true about the y-intercept of a quadratic function?
O A. A quadratic function can only have one y-intercept.
OB. A quadratic function can have up to two y-intercepts.
OC. The y-intercept is also called a zero of the function.
OD. The y-intercept is located at the point where the value of yis 0.
Answer: Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.
Step-by-step explanation:
Judy studied for 7/12 of an hour and her sister studied for 2/3 of an hour about how much time did they spend studying all together
Answer:I need that answer for my TEST!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
They studied for a little more than an hour.
Step-by-step explanation:
write a linear function with the values f(-1)=8 and f(5)=6
18w2(squared) - w - 39
Answer:
w = 1.5 and -1.44
Step-by-step explanation:
Given the quadratic equation 18w^2 - w - 39
Using the general formuls
w = 1 ±√1²-4(18)(-39)/2(18)
w =1 ±√1+2808/36
w =1 ±√2809/36
w = 1+53/36 and 1-53/36
w = 54/36 and -52/36
w = 1.5 and -1.44
I need help with this math assignment!! Will mark brainliest!
Answer:
Sorry but i can't help u.
Step-by-step explanation:
Determine if 2 is a solution to the equation 4 = 8 - 6x
Answer:
No
Step-by-step explanation:
Help Meeeeeeee!!!!!! please please please
Last year 27% of the people who applied to a graduate school were accepted. The graduate school accepted 648 people last year.
How many people applied to the graduate school last year?
A 2,400
B 175
C 823
D 1,752
Write a quadratic equation for a parabola with roots at (-2, 0) & (4,0) and a y-intercept at ( 0, -16) Write your answer in factored form
9514 1404 393
Answer:
y = 2(x +2)(x -4)
Step-by-step explanation:
The y-intercept will be a constant times the product of the roots. Here, the product of the roots is (-2)(4) = -8, so the constant of interest is -16/-8 = 2. That constant is the coefficient of the leading term of the quadratic, so is a multiplier of the factored form.
y = 2(x +2)(x -4)
__
For root p, (x-p) is a factor in the factored form.
Andre must water his cactus plant every 8 days. He must also feed it every
41days. He watered and fed his cactus today.
In how many days will he water and feed his cactus on the same day again?
First you need to find the LCM of 8 and 41
The LCM is 328
So he will water and feed his cactus again in 328 days.
:) almost one year
Brainiest plz
Find the product. Write your answer as a decimal 0.01(4.6)(-200) =
Answer:
I believe the answer is -9.2
Step-by-step explanation:
If Jose can make 3 baskets in 20 seconds, what is the unit rate?
NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER
estimate 60% of 52 (WITH WORK!)
Answer:
Step-by-step explanation:
52 is 100%
you divide 52 by 10 to get 10%
5.2*6(because 60%)
=31.2
what is the expanded form of 340,729
Answer:
(300,000 + 20,000 + 0 + 700 + 40 + 9)
Step-by-step explanation:
The expanded form of 320, 749
Segmenting each digit in the figure based on its place value :
3 = 100 thousand place = 3 * 100,000 = 300000
2 = ten thousand place = 2 * 10,000 = 20000
0 = thousand place = 0 * 1,000 = 0
7 = hundred place = 7 * 100 = 700
4 = tens place = 4 * 10 = 40
9 = unit place = 9 = 9
(300,000 + 20,000 + 0 + 700 + 40 + 9)
16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Freedom of the press
Step-by-step explanation:
The freedom of the press is the principle that communication and expression through media like printed and electronic media should be considered a right to be exercised freely.
In your problem, they are confiscating this media and violating this right.