How do you do the work on this problem I’ve been stuck in it for a couple hours now.
Answers
56.2 m
Step-by-step explanation:
We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,
[tex]\dfrac{dy}{dt} = 0[/tex]
then solve for the time t that satisfies the equation above. The expression for the height y is
[tex]y = 60t - 16t^2[/tex]
Taking the derivative of this expression, we get
[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]
This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get
[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]
Related Questions
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
Answers
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
https://brainly.com/question/2826496
A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
Answers
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
Learn more on compound amount here: https://brainly.com/question/24924853
A square that measures 2 inches by 2 inches.
What is the perimeter of the square?
Answers
Answer:
8
Step-by-step explanation:
this is because a square has 4 and one side has a measurement of 2in
so you would and all the sides (2+2+2+2) which will give you an answer of 8
A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.
Answers
What is m<9 = 130 degrees, What is m<4
Answers
Answer:
50 degrees
Step-by-step explanation:
They are alternate exterior angles, so they add up to 180 degrees.
3. The vertices of a rectangle are R(-5, -5), S(-1,-5), 7(-1, 1), and U(-5, 1). After translation,
R' is the point (-11, -11). Find the translation rule and coordinates of U'.
O(x, y) → (x – 6, y + 6); (-11, 7)
O(x, y) → (x – 6, y - 6); (-11, -5)
(x + 6, y-6); (1, -5)
O(x, y) → (x + 6, y + 6); (1,7)
O(x, y) ☺
Answers
U' = x - 6 , y + 6
U' = ( - 5 - 6 ) , ( 1 + 6 )
U' = ( - 11 ) , ( 7 )
U' = - 11 , 7
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answers
B' = (3,3)
C' = (-3,0)
I actually need help-
Answers
Step-by-step explanation:
The answer im just guessing but teachers like to do false false true true so sorry if im wrong
Can someone please help me solve this
Answers
Answer:
all the numbers +
Step-by-step explanation:
Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I
Answers
Answer:
20+h = 46
Step-by-step explanation:
it doesn't ask to solve it so that's the answer
Answer :-
[tex]20 + h = 46[/tex]• 46 is the sum of 20 and Han's savings. .
So here Question tell that 46 is the sum of Han's Saving .Then it says that to write the equation in this sentence .
• Use the variable h to represent Han's savings.
So 20 and h = 20 + h = 46 .Hope this helps you !!Multiple 120 by 5.
1) 60, 2) 125, 3) 600, 4) 1205
Answers
Answer: the answer is 600 or the letter C
Answer:
3) 600
Step-by-step explanation:
5 x 0 = 05 x 2 = 10 put the 1 from the ten on top of the 1 in 1205 x 1 = 55 + 1 = 6answer 600help me my due is In 10 minutes. I don’t know
Answers
Step-by-step explanation:
You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80
Need help I can’t fail this assignment. Answer asap!
Answers
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
inverse function of y = 3x
Answers
Answer:
f-1(x) = 1/3x would be the answer
Step-by-step explanation:
Answer:
y= 1/3x
Step-by-step explanation:
inverse function perform the opposite.
3/1 becomes 1/3
evaluate 3c + 6y for c=5 and y=6
Answers
Answer:
51
Step-by-step explanation:
because 3(5)+6(6)
Answer:
51
Step-by-step explanation:
3c+6y
3(5)+6(6)
15+36
51
Learn with an example Tony built a new fence in the yard and decided to paint it red. He started painting it at 12:00 P.M. and finally finished at 1:00 P.M. How long did it take to paint the new fence? hours minutes
Answers
Answer:
1 hour
Step-by-step explanation:
if he started at 12 pm, then in 1 hour he would finnish
Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. Write an equation you can use to solve to find c, the cost of one ticket.
Answers
Answer:
104-5/9
Step-by-step explanation:
just divided ND SUBTRACT
Write the square root -10 in simplest radical form
Answers
Answer:
The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602
Step-by-step explanation:
hope this is correct
HELP SOMEONE!!!!!! PLZZZZ!!!
Find all complex numbers $z$ such that $z^4 = -4.$
Answers
Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,
[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]
where k = 0, 1, 2, or 3. Then the 4th roots of -4 are
[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]
[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]
[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]
[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]
4. Out of the 75 people who baked
Christmas cookies, forty six percent
burned the cookies. How many people
burned their cookies?
Answers
Answer:
34.5 people
Step-by-step explanation:
HELLLPPPPPPP! PLZZZZ DUE TODAYYYY!
Answers
Answer:
it is the first one
Step-by-step explanation:
is a persons weight a function of their height why
Answers
Answer:
nope
Step-by-step explanation:
it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.
Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.
Question One:
An Internet-based company that sells discount accessories for cell
phones often ships an excessive number of defective products. The
company needs better control of quality. Suppose it has 20 identical
car chargers on hand but that 5 are defective. If the company decides
to randomly select 10 of these items, what is the probability that 2 of
the 10 will be defective?
Answers
Probability that 2 of the 10 chargers will be defective =0.35
Number of ways of selecting 10 chargers from 20 chargers is 20C10
20C10 = 184756
Number of ways of selecting 10 chargers from 20 = 184756
Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2
5C2 = 10
Since 2 defective chargers have been chosen, there remains 8 to choose
Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8
Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435
Probability that 2 of the 10 will be defective =
(10x6435)/184756
Probability that 2 of the 10 will be defective = 64350/184756
Probability that 2 of the 10 chargers will be defective =0.35
Learn more on probability here: https://brainly.com/question/24756209
PLS HELP ME WITH THIS GEOMETRY QUESTION :000
Answers
Answer:
b. the triangles are congruent by ASA
explanation: you can see that both triangles share the same angles at M and P so they are the first angle then R is the second angle because this is a vertical angle in both triangles then they share a side because of R being the midpoint of PM
If the measure of wyz =27 what is the measure of zyx
Answers
Answer:
27
Step-by-step explanation:
compitative property
write 321.51 to the nearest tenths
Answers
Step-by-step explanation:
321.5 is the correct answer
The tenths is the number after the decimal points always
EXAMPLES
3.4
4.2
You get the point.
Now to round you look at the second number if it is lower than 5 make it a zero
321.50 is equivalent to 321.5
So that's the answer: 321.5.
(If the thingy is bigger than five make the number left to it increase by one)
(If it's equal to five make the number increase, different places have different rules)
What is the slope of the line throught (-9, 6) and (-3, 9)?
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
To find slope, use the formula y2-y1/x2-x1
Plug the points in and solve.
9-6/(-3)-(-9)
3/-3+9
3/6
1/2
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Formula:
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Assign the points as [tex]x_1[/tex], [tex]x_2[/tex], and, [tex]y_1[/tex], [tex]y_2[/tex]
[tex](-9 = x_1, 6=y_1) \:\:\:\:(-3=x_2, 9=y_2)[/tex]
Plug these points into the formula; solve
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{9-6}{-3-(-9)}\\=\frac{1}{2}[/tex]
[tex]\bold{m=\frac{1}{2}}[/tex]
Therefore, [tex]\frac{1}{2}[/tex] is the slope of the line through [tex](-9, 6)[/tex] and [tex](-3, 9)[/tex].
The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answers
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answers
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-
Answers
Refer to attatchment.
Answer:
4x2+4x-5
Step-by-step explanation:
Hopes this helps
Plz markas brainliest