Formula: H(t) = 56t – 16t^2
H(t) = - 16t^2 + 56t
A. What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.
B. What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.
C. After how many seconds will it return to the ground? – 16t^2 + 56t = 0 - 8t =0 t = 0
- 8t (2 + - 7) = 0 2t – 7 = 0 t = 7/2 Ans: 3.5 seconds
The maximum height achieved by the ball is 49 meters at time t = 7/4 seconds.
What is time dependent function?
The time dependent function is the function whose values vary with change in time. For example - f(t) = 3t + 5.
Given is a ball is thrown straight up with a initial velocity of 56 ft/s. The height (h) , of the ball (t) seconds after it is thrown is given by the formula h(t) = 56t - 16t²
The given function is -
h[t] = 56t - 16t²
Now, for maximum height -
dh/dt = 0
d/dt ( 56t - 16t²) = 0
d/dt (56t) - d/dt (16t²) = 0
56 - 16 d/dt (t²) = 0
56 - 16 x 2t = 0
56 = 32t
t = 56/32
t = 7/4 seconds
Now, at t = 7/4 seconds, the height is maximum. Substituting the value
t = 7/4 seconds, we get -
h(7/4) = 56 x 7/4 - 16 x 49/16
h(7/4) = 14 x 7 - 49
h(7/4) = 98 - 49
h(7/4) = 49 meters
Therefore, the maximum height achieved by the ball is 49 meters at time t = 7/4 seconds.
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MATH HELP PLEASE WILL GIVE BRAINLIEST!
This figure shows circle Z with chords AB and RS .
mAR=55°
mRB=66°
AB=8 m
RS=8 m
What is mRS ?
Enter your answer in the box.
The product of what number and 7 is less than 49?
Answer:
All real numbers less than 7
Step-by-step explanation:
Let
x ----> the number
we know that
The inequality that represent the situation is
[tex]7x < 49[/tex]
Solve for x
Divide by 7 both sides
[tex]x < 49/7[/tex]
[tex]x < 7[/tex]
The solution is the interval -----> (-∞, 7)
All real numbers less than 7
12-packs of skwunch apple juice cost $3.00 after a 40% discount.Which equation would allow you to find the original price of the 12-packs?
Answer:
The Iready Answer:
0.6x = 3
A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed
134 bags are needed to pack all the cookies.
To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.
Start with the total number of cookies:
1600 cookies.
Each bag can hold 12 cookies:
1 bag= 12 cookies
Divide the total number of cookies by the number of cookies per bag:
1600 ÷ 12.
Using division:
1600 ÷ 12
= 133.33.
Since you can't have a partial bag, you need to round up to the next whole number.
So, you will need 134 bags to pack all the cookies.
which letter has at least one line of symmetry?
D
J
G
P
DOES ANYONE HAVE THE WHOLE QUIZ???? UNIT 4 Compositions of Isometries
Suzie drew the line of best fit on the scatter plot shown.
What is the approximate equation of this line of best fit in slope-intercept form?
y = 6 over 5x + 3
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6
whats the surface area of a cylinder with a base of 12in and hieght of 40in
Determine the measures of the apothem, the radius, and the perimeter of the regular octagon.
a. a = 14.4, r = 15.6, p = 96
b. a = 14.4, r = 15.6, p = 12
c. a = 15.6, r = 14.4, p = 96
d. a = 10, r = 15.6, p = 96
Answer:
a.) a = 14.4, r = 15.6, p = 96
If you were asked to find the 87th term in a sequence, which formula would you want to be given?
A) analog form
B) digital form
C) explicit form
D) recursive form,
Answer:
C) explicit form
Step-by-step explanation:
Since the explicit form is written in terms of the number of the term, it would be the most useful to find the 87th term. To use the recursive form, you would have to know the 86th term.
Which of the following problem types CANNOT be solved using the law of sines?
**Choose ALL that apply!!!***
A. SAA
B. SSS
C. AAA
D. SAS
E. ASA
**I'm confused :( can you please explain? thank you :)
Answer:
B) SSS C AAA D) SAS
Step-by-step explanation:
The sine rule is used when we are given
a) Two angles and one side (SAA)
b) Two angles and included side (ASA)
Sine rule can not be used in SSS,AAA or SAS.
Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS
1. which two types of clouds indicate fair weather?
a) cirrus and cumulus
b) cirrus and stratus
c) cumulus and stratus
d) cumulus and nimbostratus,
Answer:
a) cirrus and cumulus
Step-by-step explanation:
The two types of clouds that indicate fair weather are :
a) cirrus and cumulus clouds.
Cirrus clouds are usually white and predict fair to pleasant weather.
Cumulus clouds are also called fair weather clouds and look like floating cotton in the sky.
The drop that riders experience on Dr. Doom's Free Fall can be modeled by the quadratic function, h(t)9.8t2 5t 39 where h is height in meters and t is time in seconds. From what height are the riders dropped? What is the height of the riders after 1.5 seconds?
The correct answer is 53.55 meters.
To solve this problem, we need to analyze the given quadratic function h(t) = [tex]9.8t^2 - 5t + 39[/tex], where h is the height in meters and t is the time in seconds.
The given quadratic function: [tex]h(t) = 9.8t^2 - 5t + 39[/tex]
Part 1: From what height are the riders dropped?
[tex]h(0) = 9.8(0)^2 - 5(0) + 39[/tex]
[tex]h(0) = 39[/tex]
The riders are dropped from a height of 39 meters.
Part 2: What is the height of the riders after 1.5 seconds?
[tex]h(1.5) = 9.8(1.5)^2 - 5(1.5) + 39[/tex]
[tex]h(1.5) = 9.8(2.25) - 7.5 + 39[/tex]
[tex]h(1.5) = 22.05 - 7.5 + 39[/tex]
[tex]h(1.5) = 53.55[/tex]
The height of the riders after 1.5 seconds is 53.55 meters.
A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.
What is the volume of the sand pile?
Use 3.14 for pi.
Enter your answer as a decimal
The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].
What is volume?Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.
How to determine volume?It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be
Volume=1/3π[tex]r^{2} h[/tex]
Radius=diameter/2
=18/2
=9 feet
Volume=1/3*3.14*[tex]9^{2}[/tex]*10
=1/3*3.14*81*10
=254.34/3
=847.8 [tex]feet^{3}[/tex]
Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].
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Evaluate log10 0.001
The operation 'log10 0.001' means 'the power to which we must raise 10 in order to obtain 0.001'. The answer is -3 because 0.001 can be represented as 10^-3.
Explanation:The question asks you to evaluate log10 0.001. To solve this, we examine the concept of 'logarithms'. In this case, the logarithm in question is base 10 (often written simply as 'log'), and we're being asked for the power to which we need to raise 10 to obtain 0.001.
We know that 0.001 can be written as 10^-3. Therefore, log10 0.001 = -3. This is because the logarithm indicates the exponent that the base number (10, in this case) must be raised to in order to obtain the specified number (0.001, here). So, when we say log10 0.001 = -3, we're saying '10 raised to power -3 gives us 0.001'.
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Find the area of the regular pentagon if the apothem is 4.9 m and a side is 7.1 m. round to the nearest whole number. 62 m2 34 m2 87 m2 17 m2
The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring. (1 point) (x-6) and (x-2) (x+6) and (x+2) (x-6) and (x+2) (x+6) and (x-2) 17. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point) a. (x+6y)(x-8y) b. (x-6y)(x-8y) c. (x+6y)(x+8y) d. (x-6y)(x+8y) 18. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring. a. (3x-2) and (8x-4) b. (3x-2) and (8x+4) (3x-2) and (8x-4) (3x+2) and (8x-4)
A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it take to fill the cone? Use 3.14 to approximate pi. Enter your answer in the box.
PLEASE HELP ME!!!!!!! Estimate the correlation coefficient for each data set. Explain your reasoning.
HOW DO YOU FIGURE OUT THE SLOPE OF A LINE ON A GRAPH?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
There are different ways to find the slope of a line on a graph
Step-by-step explanation:
One way to find the slope of a line is by putting your line into the equation y=mx+b
In case you don't know m= the slope and b= the y-intercept
If you want to put your equation into y=mx+b; you will need to do rise/run
This means you count how much your line goes up on the y-axis so you rise however many and then you go to the right or left and count until you get to the point that is in line with the y and x axis'.
Also you can use the equation Y2-Y1/X2-X1
You will do that by finding 2 points from the line and take the numbers and make it into Y2-Y1/X2-X1
For Example if you had,
(4,3)(6,8) you would do
8-3/6-4= 5/2 so your m, or your slope would be 5/2
I hope this helps!
PLZ i need anwse ASAP
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Surface area is the sum of area of all the faces .
In the net diagram, we have 6 faces. So we have to find the area of each face and add them to find the surface area .
And since each face is rectangle in shape, so we will use the formula of area of rectangle, which is
[tex]Area= length*width[/tex]
So the required surface area is
[tex]A = (11*5)+(11*4)+(11*5) +(11*4)+(5*4)+(5*4)
\\
A = 55+44+55+44+20+20 =238 mm^2[/tex]
And that's the required surface area of the rectangular prism .
You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorable outcomes when rolling an odd number?
1, 3, 5
2, 4, 6
1, 2, 3, 4, 5, 6
1, 2, 3
Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.
What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?
1.95 mph
2.9 mph
3.9 mph
7.8 mph
EASY MEDAL !!!!!
Given the trinomial, what is the value of the coefficient 'B' in the factored form?
2x2 - 12xy - 32y2 = 2(x - 8y)(x + By)
B= ____________
Numerical Answers Expected!,
A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,
Luisa sells stuffed animals.she sells a stuffed elephant for $34.90, and the sale tax is 6% of the sale price.about how much is the sales tax on the elephant
Jeanette purchased a concert ticket on a web site.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.This website applied a 10% service fee to the discounted price.Jeanette ticket was less than the original price by what percent?
Please help me thank you.
How can you divide 133 nickels into 8 bags so that there are the same number of nickels in each bag and the number in each bag is odd and there are none left over?
Draw a tree diagram to support the area model.
Draw a maze that fits her plan.
Find P(Y). Explain your reasoning.
Find P(N). Explain your reasoning.
Ms. Sweet predicts 50 people will enter the maze next year. Based on your findings, give Ms. Sweets a recommendation for the number of pumpkins to place in the maze.
A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long. What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.
Step-by-step explanation:
Given : A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long.
To find : What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.
Formula used : perimeter = 2* length + 2√[tex]d^{2} -l^{2}[/tex].
Solution : We have diagonal of 360 feet and length = 60 feet .
plugging all the values of d and , l in formula .
perimeter = 2* 160 + 2√[tex]360^{2} -160^{2}[/tex].
perimeter = 320 + 2√[129600 -25600].
perimeter = 964.98 feet = nearest hundredth = 964.98 feet.
Therefore, Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.