The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.
When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?
Answer:
Object will reach the max height in 10 seconds.
Max. height is 1817.
It will hit the ground in 20 seconds.
Step-by-step explanation:
In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.
h'(t)=-12t+120=0
t=10
The object will reach its maximum height in 10 seconds.
h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817
Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.
10.2=20
I need help please.
Answer:
x=33
Step-by-step explanation:
1) write the equation: 180=90+(x+15)+(x+9)
2) subtract 90 on both sides and add x+15 and x+9 together: 90=2x+24
3) subtract 24 from both sides: 66=2x
4) divide both sides by 2: x=33
A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'
1. At Antonio's Pizza, a pepperoni pizza costs $6.95. Extra toppings are available for $0.50 each. If Greg bought a pizza for $8.45, how many extra toppings did he order?
he got 3 extra toppings
8.45-6.95=1.50
1.50/0.50=3
Find the value of x.
Can someone help please?
Find the sum of the digits in the product of: 1001x1001x1001
Answer:
1003003001
Step-by-step explanation:
1001x1001x1001=1003003001
Answer:
1,003,003,001
Step-by-step explanation:
[tex]1001^3=1,003,003,001[/tex]
Data collected in a mall recorded the shoe color worn by 30 customers. Based on this information, if there are 360 customers in the mall, how many customers would you expect to have a black shoe?
Answer:
200 people
Step-by-step explanation:
I did the math on my calculator
please please please please please please help help!!!
Answer:
25
Step-by-step explanation:
the number of plants can be determined by adding the frequencies together
2 + 5 + 6 + 8 + 3 + 1 = 25 plants
suppose you lean out a window of a tall building and use a sling to launch a stone straight up. the stone starts with a velocity of 69 feet per second. it leaves the sling 365 feet above the ground.
Answer:
y= 69x + 356
Step-by-step explanation:
y= 69x + 356
It goes 69 feet per second hence the 69x and it starts 356 feet in the air
The height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t^2 + 69t + 365.
How to write a function?Assuming that the acceleration due to gravity is -32 feet per second squared (neglecting air resistance), we can use the following kinematic equation to describe the height of the stone as a function of time:
h(t) = -16t²+ vt + h₀
where:
h(t) is the height of the stone above the ground at time t
v is the initial velocity of the stone (69 feet per second, in this case)
h₀ is the initial height of the stone (365 feet above the ground, in this case)
Substituting the values of v and h0, we get:
h(t) = -16t² + 69t + 365
Therefore, the height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t² + 69t + 365.
To know more about a function follow
https://brainly.com/question/20350422
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Convert to millimeters: 21 centimeters A. 210 millimeters B. 21,000 millimeters C. 2,100 millimeters D. 2.1 millimeters
Answer:
A. 210
Step-by-step explanation:
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):
r = m + 5
r = 4m – 10
Which is the correct method to find Rose's and Milton's ages?
Find the domain of the relation:
{(-5, -4), (-2, -1), (1, 0), (2, 2), (4,3)}
O {-5, -4, -2, -1, 0, 1, 2, 3, 4}
O {-5.-2. 1. 2. 43
(-4,-1.0.2, 3)
-4.-1.2.3)
Write 1.888888... as a mixed number.
Answer:
17/9
Step-by-step explanation:
Answer:
the answer is 1 8/9.
Step-by-step explanation:
it is an improper fraction
Theo has x beach toys. He shares them with 6 other friends. Each of them got 4 beach toys. Find x. Show all work
Answer:
24 beach toys
Step-by-step explanation:
We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.
Hope this helps!!
it's all on the picture
How far is mercury from Neptune?
Gabe mails two packages. One package weighs as much as the other
package. The total weight of the packages is 7 lb. Write and solve an equation
to find the weights of the two packages. Show your work.
I have to write an equation and then solve it. Help.
Answer:
Both packages are 3.5 lb.
The equation is 7 / 2
Step-by-step explanation:
All you have to do is divide 7 by 2.
7 / 2 = 3.5
3.5 * 2 = 7
So, the answer is 3.5
Hope this helps! :)
Fill in the blank in the sentence below with the correct term. The ___________ is the number or numbers that occur most often in a set.
An art dealer makes 17.5% commission on every painting sold. If a painting sold for $1,500, what was the commission?
Answer:
262.5 dollars
Step-by-step explanation:
17.5% of 1500 is 262.5
Answer:
262.50
Step-by-step explanation:
change 17.5% into 0.175 then multiply it by 1,500
Please help i need help bad please i have so much work ugh
Step-by-step explanation:
Meeting ID: 436 406 7407
Passcode: 12345
1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours
of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
I need help with this
3 (x - 4)= 2x + 6
Answer:
x=18
Step-by-step explanation:
3(x-4)=2x+6
3x-12=2x+6
3x-2x=6+12
x=18
Answer:
[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]
Hope it helps!
Can someone please help me with this.
Answer:
use a calculator so the multiple choice question isn't a cd
Can anyone help me with this I’m not too god at math an this is worth 50 points
Answer:
The answer is irrational
Last season, Ken made 73% of his free throws. If he attempted 59 free throws all season, estimate how many free throws he made. F 15 H 45 G 38 J 60
Answer:
H 45
Step-by-step explanation:
Given data
Total number of free throws= 59
he made 79%
Hence the number of throws made
=79/100*59
=0.79*59
=46.61
Approximately he made 45 of the throws
Will give crown help
Answer:
First one is linear
2. Scattered
3. Leniar
4. Porabola
Step-by-step explanation:
what is the height of the object at the time of the launch?
Answer:
100 meters!
Step-by-step explanation:
36abc + 54ad = ? im struggling with math
Answer:
18a(2bc+3d)
Step-by-step explanation:
36abc + 54ad = ?
Rewrite as ;
=2*18abc+3*18ad
Factor out common term 18a
18a(2bc+3d)
I HOPE THIS HELPED!!!
Help!! Ok give brainlest to the correct
Answer:
that looks like 50 degrees to me
Step-by-step explanation:
hope i helped have a great day!!!
it's all on the picture
Answer:
The variable is D
Step-by-step explanation:
a variable is an unknown quantity among an equation