A ball is thrown into the air with an upward velocity of 12 meters per second. Its height h in meters after t seconds is given by the function h=-16 + 12t + 5. How long will it take the ball to reach its maximum height? What is the ball's maximum height? What is the range of the function? look at the picture as well
Answers
Answer:
-16(5/8)^ 2 + 20(5/8) + 6 = 12.25 ft
Step-by-step explanation:
h = -16t^ 2 + 20t + 6 the ball will hit the ground when h = 0
0 = -16t^2 + 20t + 6 factor
0 = ( -8t - 2 ) ( 2t - 3) set each factor to 0
-8t - 2 = 0 and 2t - 3 = 0
-8t = 2 2t = 3
t = -2/8 = - 1/4 sec t = 3/2 sec = 1.5 sec
Max hit will be reached at [ -b / 2a ] sec = -20 / [ 2(-16)] = 20/32 = 5/8 sec
-16(5/8)^ 2 + 20(5/8) + 6 = 12.25 ft
Related Questions
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answers
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
[tex]=59+0.720\\=59.720\ kg[/tex]
Total weight
[tex]=190+0.640\\=190.640\ kg[/tex]
Then, the cow weight is given by
[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]
Determine wether each equation is correct. Select yes or no
Answers
help please it’s urgent, don’t know how to do this
Answers
Answer:
[tex]611\:\text{ft}[/tex]
Step-by-step explanation:
In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. In this angle marked as [tex]42^{\circ}[/tex] is actually the same as the angle with point [tex]P[/tex].
Therefore, we can set up the following equation:
[tex]\tan 42^{\circ}=\frac{550}{x}[/tex], where [tex]x[/tex] is the distance from the coast.
Solving, we get:
[tex]x=\frac{550}{\tan 42^{\circ}},\\x\approx610.84\approx \boxed{611\:\text{ft}}[/tex]
Jester has a business that is not doing well. on Friday, he earned 468 dollars. On Saturday, he earned 459. on Tuesday, he earned 432 dollars. How much money did he earned on Thursday?
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Answer:
i think is 424. its what my mom just explain to me
PLEASE HELP!!! need to show work (it already shows the answer)
Answers
The diameter of a circle is 17 cm. Find the circumference to the nearest tenth.
Answers
Answer: C≈53.41cm
If rounded the answer is C=50.00
HOPE THIS HELPS
Step-by-step explanation:
circumference=2πr
r=d/2=17/2=8.5
circumference= 2 x 3.142 x 8.5
=53.4 to the nearest tenth
Who could help me with this please and thank you
Answers
Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
is it possible to construct a triangle with the given lengths? 16, 37, 53
Answers
Answer:
No, you can not create a triangle with these three side lengths.
Step-by-step explanation:
According to the Triangle Inequality Theorem, in order for three given lengths to form a triangle, two of the side lengths must add up to be greater than the length of the largest length. 16+37 makes 53, which is equal to the length of the largest side, not greater.
13% of 160 is 16% of
A. 13
B. 130
C. 1300
D. 13,000
Answers
Answer:
B. 130
Step-by-step explanation:
_______________
Answer:
B - 130
both values are equal to 20.8
Step-by-step explanation:
the first step is figuring out what they want you to compare the multiple choice answers to- 13% of 160, which is equal to 20.8 (160*.13)!
so next, we need to take 16% of each of our answers. we can guess at what our answer isn't going to be, specifically that it cannot be 13 since 20.8 is more than 13. We can also guess its not going to be 13,000, since even ten percent of that is about 130. The same logic can be applied to 1300, ten percent of 1300 (ie dividing 1300 by ten) is 130, again too large.
Therefore, by process of elimination we can guess that its likely B.
As for checking: we have our 20.8 to compare to, and 16% of 130 (.16*130) is in fact 20.8.
calculate the value its asking you to compare to- 13% of 160 (or .13 * 160) is 20.8use process of elimination to eliminate a few answers:the answer cannot be A because A is already smaller than 20.8the answer cannot be D because even 10% of D is 1300 (much more than 20.8the answer cannot be C because 10% of C is 130, more than 20.8that leaves B as our answer- and lets check16% of 130, or .16*130 is equal to 20.8
Amanda increased the amount of protein she eats every day from 48g to 54g. By what percentage did Amanda increase the amount of protein she eats? 11.1%
Answers
Answer:
12.5%
Step-by-step explanation:
Previous grams of protein = 48g
Present grams of protein = 54g
By what percentage did Amanda increase the amount of protein she eats?
Percentage increase in the amount of protein = (present grams - previous grams) / previous grams × 100
= (54g - 48g) / 48g × 100
= 6g/48g × 100
= 1/8 × 100
= 0.125 × 100
= 12.5%
Percentage increase in the amount of protein = 12.5%
make k the subject of the formula y=
Answers
Answer:
You forgot to send the question. Send the full question when you can
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answers
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
https://brainly.com/question/28225662
#SPJ2
PLEASE HELP! Thank you in advance! :3
Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Write an equation that can be used to find y, the total cost to buy x shirts.
Answers
Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.
Which equation can be used to find y, the total cost to buy x shirts?
A) y = 9.5x + 22.5
B) y =22.5x + 9.5
C) y = 9.5x - 22.5
D) y =22.5x - 9.5
He would use equation A.
Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5
If you are considering renting a place for $1,500 a month, and you are one of 3 people on the lease (split evenly, 3 ways), how much does your gross income need to be? (Hint: First, figure out what your portion of the rent is)
a.
$1,800
b.
$1,500
c.
$1,200
d.
$900
e.
$600
Answers
Answer:
our lease is $1500 which is b.
*probability question* There are 6 red, 6 blue, 8 green, 7 purple, and 8 yellow marbles. As students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellow, and the 2nd draws a purple, what is the probability that the third student will draw a yellow also?
Answers
Answer:
21%
Step-by-step explanation:
8+7+8+6+6= 35 total marbles
35-2 used = 33 marbles left
100/33 = 3% per marble
7 yellow left x 3 % = 21%
Answer:
7/25
Step-by-step explanation:
Let's remove all the marbles that were drawn by the bag first. That makes...
Red: 6
Blue: 6
Purple: 6
Yellow: 7
If we have 7 yellow marbles currently in a bag of 25 marbles, then the chance that the third student draws a yellow is...
7/25
If 1 US dollars can be exchanged for 0.55 Euros, how many Euros can be obtained when exchanging 47 U.S. dollars?
Answers
Answer:
25.85 Euros
Step-by-step explanation:
1 US dollar = 0.55 Euros
0.55 x 47 = 25.85 Euros
Hope this helped :)
Answer:
25.85 Euros
explanation:
If 1 US dollar equals .55 Euros then 47*0.55=25.85 Euros
Nine tokens are black on one side and white on the another initially four tokens have the blackside upwards in each turn tell the least number of turns yo need to have all tokens showing the same colour
Answers
Answer:
2
Step-by-step explanation:
Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:
B-B-B-B-W-W-W-W-W
First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:
W-W-B-B-B-W-W-W-W
The second movement is to turn the 3 black ones and thus they would all be blank
W-W-W-W-W-W-W-W-W
This means that, the smallest number of movements is 2.
Lily sort of these solid figures into two groups what is true about the groups
Answers
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER
Answers
Answer:
they are vertical angles
Step-by-step explanation:
hello please help i’ll give brainliest
Answers
Answer: 81
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.
how line did you wait in line? is a statistical question
Answers
Answer:
yes
Step-by-step explanation:
hopes this helped;0
find the slope between the points (1,18) and(4,12)
Answers
Answer:
slope = -2
Step-by-step explanation:
rise/run: y2-y1/x2-x1 .
=12-18/4-1 = -6/3 = -2
Which of the following is equivalent to (5•10^3) + (4•10^6)
A: 4.005 x 10^6
B: 9 x 10^6
C: 4.005 x 10^9
D: 9 x 10^9
Answers
Answer:
A) 4.005*10^6
Step-by-step explanation:
I need this pleaseeee
Answers
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
Find the Slope of the Table
Answers
plzs help it for school
and it you do help you will get something back
Answers
Answer:
[tex]Area=94~sq~units[/tex]
Step-by-step explanation:
[tex]prism=2(lb+bh+hl)[/tex]
[tex]Given: l=5 ~units , b=4 ~units,h=3 ~units[/tex]
[tex]Area=2(5*4+4*3+3*5)[/tex]
[tex]=2(20+12+15)[/tex]
[tex]=2(47)[/tex]
[tex]=94[/tex]
--------------------
hope it helps...
have a great day!!
Answer:
your answer is 94 sq units
Step-by-step explanation:
hope it helps...
A large home improvement store is considering expanding its selection of moving products, such as cardboard
boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers
who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%)
replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval
(0.293, 0.355) for the proportion of all customers who have moved in the past five years. Sheldon, an employee who
wishes to expand the selection of moving products, claims that more than 1 in 4 customers have moved in the past
five years. Zachary, another employee, urges Sheldon to be bolder in his claim and say that more than 1 in 3
customers have moved in the past five years. Based on the confidence interval, which employee's claim is
plausible?
Answers
Answer:
Based on the confidence interval, Sheldon's claim is plausible
Step-by-step explanation:
The number of customers in the sample, n = 620 customers
The number of customers that replied that they had moved at least once in the last five years = 201 (32.4%)
The 90% confidence interval for the sample = (0.293, 0.355)
Let 'p' represent the proportion of all customers who have moved in the past five years
The proportion of customers Sheldon claimed have moved in the past five years, p > 1 in 4 (0.25)
The proportion Zachary urges Sheldon to claim is, p > 1 in 3 (0.[tex]\overline 3[/tex])
Given that the lower estimate of the confidence interval is 0.293 (>0.25) and upper bound of the confidence interval is 0.355 (> 0.[tex]\overline 3[/tex]), and that 0.26 in also more than 1 in 4 but less than 0.293, but however that 0.293 which is within the 90% confidence interval is less than 0.[tex]\overline 3[/tex] or 1 in 3, as opposed to what Zachary urges Sheldon to claim, Sheldon's claim is more plausible.
Answer:D
Step-by-step explanation:
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answers
Answer:
A=4
B=8
C=6
D=10
SA=208
Step-by-step explanation:
Surface area=bh+(s1+s2+s3)H
=6×8+(4+6+10)(8)
=208
anyone wanna be egirl
Answers
Answer:
It’s crossed my mined a couple times
Step-by-step explanation:
Write an equation in slope-intercept form of the line passing through (3, 1) and (4,3)
Answers
Answer:
y=2x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-1)/(4-3)
m=2/1
m=2
y-y1=m(x-x1)
y-1=2(x-3)
y=2x-6+1
y=2x-5
Answer:
y = mx+b
Step-by-step explanation: