A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30 feet per second.
Answer:
I guess that we want to find the position equation for the ball.
First, we know that any object that is in the air has acceleration equal to the gravitational acceleration (where we ignore forces like air resistance and others) so we can write the acceleration equation as:
a(t) = -32 ft/s^2
Where 32 ft/s^2 is the gravitational acceleration, and the negative sign is because this acceleration is downwards.
To get the velocity equation, we can integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where v0 is the initial velocity.
We know that the ball is thrown upwards with a velocity of 30 ft/s, then:
v0 = 30ft/s
And the velocity equation becomes:
v(t) = (-32 ft/s^2)*t + 30 ft/s
Finally, for the position equation we need to integrate again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + p0
where p0 is the initial position.
We know that the ball is thrown from an initial height of 4 ft, then:
p0 = 4ft
Then the position equation (or height equation) of the ball is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + 4 ft
PLEASE HELP!!!! it’s very urgent due in 10 minutes please help ASAP!
Answer:
s is bigger than m because m is small
4g+1 5 − G−7 4 = 2g−5 10
Hi could someone pls help me with this problem !
( This is 10th grade math )
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25) a 53ft cable runs from the top of an antenna to the ground. The angle of elevation made by the ground to the top of the antena is 25°
How tall is the antena ??
Answer:
B
Step-by-step explanation:
work below
AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons
Answer:
x = 152°
Step-by-step explanation:
∠ BDE = ∠ ABD = 76° ( alternate angles )
Since DE = BE then Δ BDE is isosceles with base angles congruent
∠ DBE = ∠ BDE = 76°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, then
x = 76° + 76° = 152°
The point (2,9) undergoes a translation given by (x,y) (x+3,y-8) the new coordinate of the point is
Answer:
(5 , 1)
Step-by-step explanation:
coordinate point is (2 , 9)
translation rule is
(x , y) = (x + 3 , y - 8)
here x is 2 and y is 9
so the new coordinate will be
(x + 3 , y - 8)
(2 + 3 , 9 - 8)
(5 , 1)
PLZZ HELP. ONLY ANSWER IF YOU THINK YOU HAVE THE CORRECT ANSWER PLZZ!
Answer:
$232.75
Step-by-step explanation:
If you do 175 divided by 100, you get 1.75. Then you take 45 (45%) and subtract it by 12 (12%) you 33 (33%). Now you take 1.75 and times it by 33 and you get 57.75. Take the 175 and add 57.75 and you get 232.75 ($232.75)
I hope this helps with the problem. See ya.
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.00045 [tex]m^{3}[/tex]
Step-by-step explanation:
450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]
1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]
= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]
Answer:
450 (cm*3) = 0,00045 (m*3)
Step-by-step explanation:
Simplify this equation (3-2)4
Answer:
C= 1/3^8
Step-by-step explanation:
3^-2×4
3^-8
1/3^8
The ratio of boys to girls in a class is 5:4.There are 36Students in the class.how many students are girls?
Answer:
16 girls
Step-by-step explanation:
boys : girls : total
5 4 5+4 = 9
take the total number of people and divide by 9
36/9 = 4
Each number should be multiplied by 4
boys : girls : total
5*4 4*4 9*4
20 16 36
There are 16 girls
A=9 b=12 c=15 sin b cos b tan b
Answer:
according to right , we use Phythgorous
tanb= 9/12
cosb=12/15
and sinb=9/15
Find the square of 75
Answer:
5625
Step-by-step explanation:
75^2
75x75
5625 is the answer
Answer:
The square of 75 is 5625
75²75×755625hope it is helpful to you
HELP PLSS FAST PLSSSSS
Answer:
function a is linear and its equation is y=(5/3) x
Hep I’ll give brainliest
Answer:
a = 3 b = 6 c= 5
Step-by-step explanation:
3^6/5
when the exponent is a fraction
the denominator is the root
and numerator is the exponent
64 of 80
Express as percentage
Answer:
80%
Step-by-step explanation:
64/80=8/10
Answer:
80%
Step-by-step explanation:
First divide 64 by 80 then multiply answer by 100 which gives you 80
Which statement is true regarding the graphed
functions?
96)
10
18
1509
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
O f(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
654 -3 -2 -12
5 6 x
-4
-6
-8
-10
-124
Answer:
f(2) = 0 and g(-2) = 0
Step-by-step explanation:
0.8 is the slope of the line M'N'.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).
Now, we can find the slope of line M'N' using the slope formula:
slope of M'N' = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).
slope of M'N' = (4 - 3.2) / (2.4 - 1.6)
the slope of M'N' = 0.8
Therefore, the slope of line M'N' is 0.8.
Learn more about Linear equations here:
https://brainly.com/question/11897796
#SPJ7
14. Mr. Crain wants to decorate his door for
the first day of school. The door is 7 feet
tall and 3 feet wide. How many square feet
of paper will Mr. Crain need to cover the
door before he decorates it?
the answer to the question please
Put these numbers in order from least to greatest.
1/8,1/2,0.13, and 7/8
Answer: 1/8, 0.13, 1/2, 7/8
Step-by-step explanation: Mental Math
Step-by-step explanation:
0.13,1/2,1/8,and 7/8
hope it is helpful to you
Triangles ABC and JKL are similar. Find the missing sides.
Answer:
option A
Step-by-step explanation:
the bigger triangle is two times the size of the small one
Hurry please What is the sum of the series below?
Answer: C. 218085
Step-by-step explanation: Scientific calculator helps.
Answer:
C
Step-by-step explanation:
I can get you the answer, but I do not know the proper method of deriving it out other than starting with y = 5 when x = 1 and go all the way up to x = 30 adding the result each time.
I might say that computer languages eat this for a pre breakfast meal. The solution is only five lines long.
The answer is 218085 which is the third one down.
Parrel lines and angles how do I do this one
Answer:
Step-by-step explanation:
if two lines are parallel and a transversal cuts it,then corresponding angles are equal.
?=130°(corresponding angles)
Rena has 30 tickets for the baseball game. She gives 8 tickets to Tariq and 10 tickets to Marita. Which set of equations could be used to represent how many tickets Rena should have left after she gives away the tickets to Tariq and Marita?
A. 8 + 10 = 18
30 - 18 = y
B. 30 + 8 = 38
38 - y = 18
C. 30 - 10 = 20
20 + 8 = y
D. 30 - 12 = 18
18 - y = 10
An electric blender has a price of $240 after import duty is added to the cost price.What is the cost price of the blender if import duty is 20%?
Answer:
$200
Step-by-step explanation:
Given :
Cost of blender + import duty = $240
Import duty = 20% of cost price
Let :
Cost of blender = x
Import duty = 20% of x = 0.2x
Therefore,
x + 0.2x = $240
1.2x = 240
x = 240 / 1.2
x = $200
Cost of blender = $200
Unfortunately, due to a couple of pitiful people (some poor kids who got so lost in life, they resulted to spamming), I’m having to repost this:
OK, so I was learning about how to factorize a quadratic polynomial. And I also wrote notes on it. Now, even though I know that my notes are definitely correct, I’m getting stuck at a certain point. Please look at the attached photo, and explain why the variable X and the number 4 have been removed when we get the factors. I’d greatly appreciate it. Thanks!
Answer:
so when factorising, you first remove the common factors. in this case it is (x+3)
so what is remaining is the x and 4
you group that together.
my teacher explained that when factorising, after removing the common factor then you divide each term by the common factor, and then group the answers to that in brackets.
so it will be,
[tex]x(x + 3) + 4(x + 3) \\ (x + 3)( \frac{x(x + 3)}{x + 3} + \frac{4(x + 3)}{(x + 3)} [/tex]
so basically whats left after dividing, is x and 4 because the x+3 cancel off.
and thats how you get the answer of
(x+3)(x+4)
hope this helps;)
Which ratio is not equivalent to 3:6?
a. 1:2
b. 4:10
c. 10:20
d. 15:30
Answer:
B. 4:10
Step-by-step explanation:
A. 3:6 is equal to 1:2, which is our given answer for A.
B. Has no equivalent to 3:6
C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.
Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)
Hope this helps, good luck!
why do bank charge transaction fees ?
Answer:
To make a profit of course
Step-by-step explanation:
it
then
yes
Possibly.
CAN SOMEONE HELP ME?
Answer:
D
Step-by-step explanation:
y = 2x + 3
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
Answer:
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
for 5 hours they work
3х + 5y – 20 =0
how do I find the slope and y intercept?