A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?
Answer:
256Step-by-step explanation:
Read the answer carefully and then you'll know hey i need to multiply 8 times 32.
And what do you get...... 256Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.In this problem:
Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]The equation is:
[tex]h(t) = -4.9t^2 + 32t + 8[/tex]
Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].
The maximum height is the output of the vertex, which is:
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, with the coefficients of this question:
[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which [tex]h(t) = 0[/tex], thus:
[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]
[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]
[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at https://brainly.com/question/24626341
-2/7 ÷ (-8/21) step by step answer
please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke
Answer:
1.3
Step-by-step explanation:
first, divide the parentheses:-8/21= -0.380952
second, dived -2/7= -0.285714
now divide both of them -0.380952 ÷ -0.285714 = 1.3
Find the value of x. (Round to the nearest tenth as needed.)
Answer:
Hope that answers your question
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
Please help! I don't understand. view photo.
Answer:
Step-by-step explanation:
they are asking about the exponential
b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial
you can buy 5 cans of black beans for $2.40. What is the unit price?
help me please I beg of you math lords
Answer:
48 cents
Step-by-step explanation:
divsion sorry im not a math lord
What is the reflected across y-axis and reflected across x-axis for (-2, 6)
II.
What is the area of this parallelogram?
in2
h = 5 in.
b = 6 in.
Pls help :)
Answer: 30 in²
Step-by-step explanation:
Area = base x height
A = 6 in x 5 in
A = 30 in²
Solve for x. 2x−5=−x+7
Answer:
x = 4
Step-by-step explanation
2x−5+x=−x+7+x
3x−5=7
3x−5+5=7+5
3x=12
x=4
Answer:
x = 4
Step-by-step explanation:
You need to isolate the variable on one side first so that the equation is easier to solve. To do that, add x to both sides to get 2x + x, which is 3x. This gets rid of the -x on the other side and results with the new equation
3x - 5 = 7. Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.
You can check your work by plugging in 4 for x.
2(4) - 5 = -(4) + 7
8 - 5 = 3
3 = 3
Therefore, x is equal to 4.
Hope this helped! Have a good day!
How tall is a building 100 feet away if the angle of elevation from the ground to the
top of the building is 20 degrees?
Answer:
i think it is 50ft but i'm not too sure
Step-by-step explanation:
if you take the 100ft and than use the 20 degrees and divide them you get 50 ? so maybe, just 100 divided by 20
Find X. This is a 40°, 40°, 90° triangle.
Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation:
Expand 3(m + 7).
3(m + 7) =
DESPERATE WILL GIVE BRAINLIST AND THANKS
Which associations best describe the scatter plot?
Select each correct answer.
Nonlinear association
Positive association
Linear association
Negative association
Answer:
D) I think
Step-by-step explanation:
Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two
decimal places.
4 + 9•In x= 15.8
A. x = 3.56
B. x= 0.27
C. x = 3.71
D. x = 2.09
Answer:
C. x = 3.71
Step-by-step explanation:
4 + 9(ln x) = 15.8
Subtract 4 from both sides.
9(ln x) = 11.8
Divide both sides by 9.
ln x = 11.8/9
x = e^(11.8/9)
x = 3.71
4 + 9 • In x = 15.8
x= 3.71
what quadrant is the coordinate -3,2 in
Answer: the 2nd quadrant
Step-by-step explanation:
The first quadrant
(X,Y)
The second quadrant
(-X,Y)
The third quadrant
(-X,-Y)
The fourth quadrant
(X,-Y)
If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair
Answer:
Not them Still deleting answers
Step-by-step explanation:
please help me, i'll give you brainlyist
20 points (maths)
Answer:
Your answer would be 3/5 or 3:5
Step-by-step explanation:
Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8
Answer: -10 I think
Step-by-step explanation:
Which equation can be used to solve for b?
Answer:
tan(30)=5/b
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
Help I will be marking brainliest!!!
A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet
Show work, if possible. Thanks❤️
Answer:
B
Step-by-step explanation:
A right triangle is formed by the ground, the side of the house and the ladder.
The hypotenuse is the ladder
let the side of the house be h
Using the sine ratio in the right triangle formed, then
sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )
22 × sin77° = h , then
h ≈ 21.44 ( to the nearest hundredth )
The ladder reaches 21.44 ft up the side of the house
HELPP! BRAINLIEST AND 10 POINTS !!
what is the height of this triangle?
A. 2 units
B. 3 square units
C. 3 units
D. cant be determined
Answer:
I think it's 3 units so you got that right
Answer:
its the first one
Step-by-step explanation:
Look below giving brainliest
Answer:
15
Step-by-step explanation:
I think it's 15....yeah
help please and thank you
!!
Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches. Which choice is the closest estimate of the length of the original rope
Answer:
the actual answer is 20.625 and since there aren't any choices I'll give u my estimated answer: 20
Step-by-step explanation:
I got my estimated answer by rounding each length of rope down or up according to if it was less than 4/8 or higher. example: rounded 7 7/8 to 8
hope this helps <3
Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.
What are the coordinates of V' when (T<-3, 1> ° D.)(TUV) of T(-7,-6), U(-8, 3), V(2, 1)?
Answer:(332)
Step-by-step explanation:
find measure of missing angle
Answer:
18
Step-by-step explanation:
properties of a triangle: all the angles add up to 180 degrees
so
180 - 90 - 72 = 18
answer is 18 degrees
hurry what is 1000 x 1000...........
Answer:
1,000,000
Step-by-step explanation:
[tex]21\geq 12+x[/tex]
If Maya’s crew paints the platform at a rate of 720 feet per hour, determine how long to the nearest hour it will take them to paint the entire platform. ( read and respond)
Answer:
400/2.5 = 720/x
400x = 720 x 2.5
x = 4.5
Step-by-step explanation:
The required hours it would take to paint the entire platform is given as x/720. Where x is the length of measure of the platform.
What is rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Maya’s crew paints the platform at a rate of 720 feet per hour,
Let the length of the platform be x,
Now,
Divide the length with the rate, giving the time to paint the complete platform,
Time = length/rate
Time = x / 720
Thus, the required hours it would take to paint the entire platform is given as x / 720. Where x is the length of measure of the platform.
Learn more about rate of change here:
https://brainly.com/question/13103052
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