In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
which figure shows that M is a midpoint ? select all apply
Answer:
I don't see the figures.
Step-by-step explanation:
Hello, I need an answer for this.
Answer:
3.19 x 10^6 kilometers
Step-by-step explanation:
Please help answering these questions 10 points help please (look at the picture)
Answer:
46. -22
47. -22
48. 8
Answer:
46) -22
47) -22
48) 8
49) -8
50) -4
51) 4
Step-by-step explanation:
can someone help with this please . questions 3 and 4
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.
Answer:
Simon started High school in the year 2012.
One usually starts highs school when is 14 years old.
So we can assume that Simon was born 14 years before 2012:
2012 - 14 = 1998
Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.
Then Simon's parents should have met before 1998.
Then the inequality that we have:
x < 1998.
And Simon was born when his father was 25 years old.
Then in 1998, Simon's father was 25 years old.
Meaning that he was born around:
1998 - 25 = 1973.
This means that Simon's parents met in-between the years 1973 and 1998.
1973 < x < 1998
For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.
6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work
Answer:
$140
Step-by-step explanation:
8x+6x
Answer this is your dont like the Teletubbies. Literally there your sleep paralysis!
Search them up if your dont know them!!!!
10 points!
Answer:
I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.
Step-by-step explanation:
Answer:
tramuatized
Step-by-step explanation:
teletubies are h e l l a wierd
Which of these expressions has the same product as ()?
Select all that apply.
A.
()
B.
()
C.
()
D.
()
E.
()
Answer:
none
Step-by-step explanation:
I can't find any question there
Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
4
Step-by-step explanation:
Answer:
8/32 =4 so 4 per min
Step-by-step explanation:
The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)
Answer:
The body is falling at 98 m/s after 4 seconds later.
Step-by-step explanation:
The magnitude of the speed of a body dropped from rest is:
[tex] v = gt [/tex]
So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:
[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]
Hence, the body is falling at 98 m/s after 4 seconds later.
I hope it helps you!
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
Jayden already owns 47 stamps, and additional stamps are priced at 0.05 per dollar. How
much money does Jayden need to spend on new stamps in order to have a total of 51
stamps in his collection?
Answer: If its .05 cents then only 20 cents to finish the collection I got that because 51 - 47= 4 and if it is .05 cents then I did 4 * 5 = 20
can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math
Answer: Is it 24
Step-by-step explanation:
A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.
Answer:
Step-by-step explanation:
Club A charges $30 membership fee and charges $7 for each movie.
You can write this as :
A = 30 + 7m (where m = number of movies)
Club B charges no membership fee and it costs $12 for each movie.
B = 12m
If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.
30 + 7m = 12m
Now you can just subtract 7m from both sides.
30 = 5m
Divide both sides by 5 to find "m'.
m = 30/5 = 6
Therefore a member must purchase 6 movies
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
72 + (7x+24) = 180
need to find value of x with steps
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Write the equation of the parabola in vertex form.
Vertex: (−3,7); Point: (−2,−5)
Answer:
y = - 12(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 3, 7 ), thus
y = a(x - (- 3))² + 7 , that is
y = a(x + 3)² + 7
To find a substitute (- 2, - 5) into the equation
- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )
- 12 = a(1)² = a
y = - 12(x + 3)² + 7 ← equation in vertex form
Dai is comparing trading cards with his friend Maura
Answer:
a- n= 2x+ 4
b- n= 2x + 4 - 8
Is this a function or no
Answer:
No
Step-by-step explanation:
It is not properly done.
The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?
9514 1404 393
Answer:
divide fees by hours$12 per credit hourStep-by-step explanation:
To find fees per hour, divide fees by hours.
$1728/(144 h) = $12/h
Toby's cost is $12 per credit hour.
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
Answer:
Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution
Step-by-step explanation:
We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.
This means the chance of success is p = 45% = 0.45
Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
Where;
x is the number of possible successes
n is the number of trials
p is the chance or probability of success
C(n, x) is the number of possible combinations that could occur
This formula represents the binomial probability distribution formula.
So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution
Which property is illustrated by the following statement
Answer:
Communitive
Step-by-step explanation:
It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7
Hope this helps