Answer:
The height equation is:
h(t)=-16t^2 +100t+10
A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.
v(t) = -2*16*t + 100 = 0
t = 100/(2*16) = 3.125s
Now we put this time in our height equation:
h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.
B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.
C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.
D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,
h(t) = 0 = -16t^2 +100t+10
we can solve it using Bhaskara's equation:
[tex]t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}[/tex]
So the two solutions are:
t = 6.3s
t = -0.1s
We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.
so here the answer is t = 6.3s
E) the domain is 0s ≤ t ≤ 6.3s
The range is 0ft ≤ h ≤ 166.25 ft.
What’s 600 divided by 5
The calculated division of the numbers 600 divided by 5 is 120
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
600 divided by 5
When represented as an equation, we have
600 divided by 5 = 600/5
Divide 7 by 4
So, we have the following result
600 divided by 5 = 120
Using the above as a guide, we have the following:
the result is 120
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A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?
Answer:
10m.
Step-by-step explanation:
Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.
Please help me with my homework!!!!!
What is the simplified form of each expression? a. 108 b. (0.2)5
Answer:
a. 108
b. 2.5
Step-by-step explanation:
a. ex: 108 = 108
b. ex: 5/2 = 5/2
convert to a decimal
2.5
. . .
Random sample size of 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. the mean and the standard error of the mean are?
Answer:
the mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e
[tex]\mu = \bar \mu_x[/tex] = 200
∴ The mean = 200
and the standard error of the mean can be determined via the relation:
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}[/tex]
[tex]\mathbf{standard \ error \ of \ mean =2}[/tex]
Therefore ; the mean and standard error of the mean are 200 and 2 respectively.
Solve the following formula for the specified variable.
B =1/2m(r + k) for r
Answer:
(2B/m) - k = r
Step-by-step explanation:
B =1/2m(r + k)
Multiply each side by 2
2B =m(r + k)
Divide each side by m
2B/m = m/m (r+k)
2B/m =(r+k)
Subtract k from each side
(2B/m) - k = r+k-k
(2B/m) - k = r
Can someone please help me :((
Answer:
Step-by-step explanation:
|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.
However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?
Answer:
£160
Step-by-step explanation:
£160 times 0.6 equals £96
since £96 is 60% of the original price since 40% was taken off
The price of the bicycle before decrease is obtained as £160.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100. And to convert a fraction or a decimal into percentage, they are multiplied by 100.
The new price of the bicycle is £96.
And, the percent of decrease is 40%.
Suppose the original price be x.
Then, the following equation can be written for the given case as,
x - 40% × x = 96
⇒ x - 40/100x = 96
⇒ 60/100x = 96
⇒ x = 160
Hence, the original price of the bicycle is given as £160.
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Ken predicts that the average temperature will be-5C in Decjember. If he predicts the temperature will rise 6 C in January and fall 3 C in February,which of the following equations can he use to fin. the sum of the temperatures for those months?
Answer:
-5+6-3
Step-by-step explanation:
DUH!!!!!
Answer:
[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2
Step-by-step explanation:
DUH!! (as one guy said) this time im right tho.
Question 3 of 10
2 Points
Is ABC= DEF? If so, name the congruence postulate that applies.
GO
E
Given:
AB DE
BC EF
CA = FD
A
C
D
F
O A. Might not be congruent
B. Congruent - SSS
O C. Congruent - SAS
D. Congruent - ASA
Answer: B
Step-by-step explanation:
Should be B because there are no given angles.
The congruence postulate that applies is the SSS postulate
Properties of similar triangles
Triangles are known to be similar if the ratio of their sides is the same and they have equal angles
From the given diagram, we can see that the measure of the similar sides of the triangles is the same, hence we can conclude that the triangles are similar to the Side-Side-Side congruence triangle.
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In 300 people 60% liked to visit Pokhara, 35% liked chitwan and 20%
didn't like both places, find the number of people who like both, also
draw Venn-diagram.
Ans:45
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment.......
psllslsslslslsl help ASAP BRAINLIST
Answer:
24.94
Step-by-step explanation:
To find shipping and handling take the price and multiply by the shipping and handling percent
464 * 5.375%
Change to decimal form
464 * .05375
24.94 for shipping and handling
Please help I only need part b and part c
Answer:
Here is the answer.
Step-by-step explanation:
b) students are the frequency. so we need to add all the frequency.
5 + 4 + 7 + 10 + 4=30 students
c) here we need to use the summation.
total/ frequency= mean
6*5=30
7*4=28
8*7=56
9*10=90
10*4=40
we need to add them all= 244
total frequency= 30
mean = 244/30= 8.133333333...≈ 8 (this is a rounded of value as in 0.13, 3 goes on repeating.
Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $7.16
each. How much profit does Anne make on the sale of these 8 canvases?
OA. $35.92
OB. $45.63
OC.
$57.28
OD. $86.04
Answer:
OC. $57.28
Step-by-step explanation:
It depends on how much she sells them for.
Let's say Anne sells them for $x.
Then her profit is:
8x-(8*7.16)
=8x-57.28
To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.
Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.
To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :
⇒ 8 × $7.16
Apply the multiplication operation and we get
⇒ $57.28.
Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.
Hence, the correct answer would be an option (C).
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Point B lies between points A and C on AC. Let x
represent the length of segment AB in inches.
V
Use the segment to complete the statements.
The value of x is
The length of AB in inches is
A
B
3x
с
The length of BC in inches is
20 inches
Answer:
see below
Step-by-step explanation:
Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.
AB = x = 5 and BC = 3x = 3 * 5 = 15.
answer is this down below
5
5
15
PLEASE HELP I NEED UR HELP!!! 6-y+3
Answer:9-y
Step-by-step explanation:6-7+3= 9-y
Simplified
Answer:
9-y
Step-by-step explanation:
6-y+3=
6+3-y=
9-y
If you were solving for y, then you need to provide a solution for 6-y+3.
If you were solving for the solution, then you need to give y a value.
If you needed to simplify it, then see my answer.
A pair of shoes is originally priced at $120.00 It is on sale for 35% off. What is the price that you would pay?
[tex]answer = $78 \\ solution \\ marked \: price = $120 \\ discount \: percent = 35 \\ discount \: amount = discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 35 \: of \: 120 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ = $42 \\ selling \: price = mp - discount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 120 - 42 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = $78 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]..
What is the solution of the equation 6x - 3 = -51?
OA.
-9
OB.
-8
O c.
00
OD.
9
Answer:
x = -8
Step-by-step explanation:
[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]
Solve the inequality. 3p+7<31
Answer:
p < 8
Step-by-step explanation:
3p+7<31
Subtract 7 from each side
3p+7-7<31-7
3p <24
Divide each side by 3
3p/3 <24/3
p < 8
x² - 36 = 0
solve for x
Answer: +6
Explanation: The equation x² - 36 = 0 is called a quadratic equation because he have a squared term as our highest power.
Our first step in this problem is to get the x²
term by itself by adding 36 to both sides.
That gives us x² = 36.
Next we must get the x by itself and in order to do
that we do the opposite of what is happening to x.
Since x is being squared, the opposite
of squaring is square rooting.
So to get x by itself, we square
root both sides of the equation.
On the left the square root of x² is x and on
the right, remember the following rule.
When square rooting both sides of
an equation, always use plus or minus.
So the answer to this problem would be +6.
So our solution to this equation is +6.
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!!!!
Answer:
Step 2.
Step-by-step explanation:
When you have a coefficient on a side of the equation that you need to get rid of, you must divide by the number. For example, in the problem:
3(x+8)² = 75
Here, you need to divide both sides by '3' instead of multiplying, which was done instead. Then you get:
(x+8)² = 25.
Therefore, his mistake was made at Step 2.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Step-by-step explanation:
h(x) = (x-11)(x+3)
= x^2 + 3 - 11x - 33
= x^2 - 11x -30
Answer:
11 seconds
Step-by-step explanation:
did it on khan
What is x+r if x =4 and r=5
Answer:
9
Step-by-step explanation:
x + r. Substitute
4 + 5 Add
9
at 5% commision, an agent received rs.32,500 by selling a second-hand car. At what price did he/she sell tha car?
Solution,
Let the price of car be X.
Rate(R)=5%
Here,
Commission % of price of car=32500
or,5% of X=32500
or,5/100*X=32500
or,X=32500*20
X=Rs 650000
Hope it helps
Good luck on your assignment........
WILL MARK BRAINLIEST!! Help ASAP PLEASE!!! A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone? Show your work.
Answer:
414.69inches
Step-by-step explanation:
V=pr^2h/3. r^2=36.36xpi=113.097335529. h/3=3.66666666667. 113.097335529x3.66666666667=414.69 inches
Step-by-step explanation:
PARA UN CONO DE BASE REDONDA ES:
V = π[tex](6 in)^{2}[/tex](11 in)/3 = [tex]414.7 in^{2}[/tex]
What is the solution to the system of equations
Y= 2/3*x + 3
X= -2
Answer:
y=-4/3+3 you would multiply the numerator by X
Answer:
( - 2, 1 and 2 / 3 )
Step-by-step explanation:
Check the procedure below;
[tex]y = 2 / 3 * x + 3,\\x = - 2\\\\y = 2 / 3 * ( - 2 ) + 3,\\y = - 4 / 3 + 3,\\y = 5 / 3,\\x = - 2\\\\Conclusion; y = 5 / 3, and, x = - 2[/tex]
To derive this solution, we substituted the known value of x into the top equation, to receive the y value;
Solution - ( - 2, 5 / 3 )
What are the solutions to the nonlinear system of equations below?
Check all that apply.
x² + y² = 9
[tex] {x}^{2} \frac{ {3}^{2} } - {y}^{2} \frac{ {3}^{2} } = 1[/tex]
Answer:
B, E
Step-by-step explanation:
[tex]x^{2} +y^{2}=9[/tex]
[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]1-\frac{2y^{2} }{9} =1[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]-\frac{2y^{2} }{9} =0[/tex]
[tex]x^{2} =9-y^{2}[/tex]
[tex]y^{2} =0[/tex]
[tex]x^{2} =9-y^{2}\\y=0[/tex]
[tex]x^{2} =9\\y=0[/tex]
[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]
Evaluate: 8*2 + 3*5 - 10 + 4^{2}
Two teammates were comparing data from five basketball games.
Andrew scored 10, 14, 8, 12, and 11 points. Leroy scored 2, 12, 9, 11, and 16
points. Who has the higher mean?
Answer:
The answer is andrew!
Step-by-step explanation:
andrew 10 + 14 + 8 + 12 + 11/ 5 = 11
leroy 2 + 12 + 9 + 11 + 16/5 = 10
Simplify:
2[3-5(2+1)2 + 5]
Select one
O a. -74
O b. 89
O c. 14
O d. 74
So the right answer is -74.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = ( - 74)[/tex]
Step-by-step explanation:
[tex]2(3 - 5 {(2 + 1)}^{2} + 5) \\ 2(3 - 5(2 + 1)(2 + 1) + 5) \\ 2(3 - 5 \times 3 \times 3 + 5) \\ 2(3 - 15 \times 3 + 5) \\ 2(3 - 45 + 5) \\ 2( - 42 + 5) \\ 2( - 37) \\ 2 \times - 37 \\ = - 74[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
