Answer:
The time that elapses before the players collide is 4.59 secs
Step-by-step explanation:
The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.
We can write that
S₁ + S₂ = 41 m
Where S₁ is the distance covered by Player 1 before collision
and S₂ is the distance covered by Player 2 before collision
From one of the equations of kinematics for linear motion,
[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]
Where [tex]S[/tex] is distance
[tex]u[/tex] is the initial velocity
[tex]a[/tex] is acceleration
and [tex]t[/tex] is time
Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision
That is, t₁ = t₂ = t
Where t₁ is the time spent by player 1
and t₂ is the time spent by player 2
For player 1
[tex]S[/tex] = S₁
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 2.2 m/s²
Then,
S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]
S₁ = [tex]1.1t^{2}[/tex]
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
For player 2
[tex]S[/tex] = S₂
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 1.7 m/s²
Then,
S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]
S₂ = [tex]0.85t^{2}[/tex]
[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]
Since the time spent by both players is equal, We can write that
[tex]t^{2}[/tex] = [tex]t^{2}[/tex]
Then,
[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]
[tex]0.85S_{1} = 1.1S_{2}[/tex]
From, S₁ + S₂ = 41 m
S₂ = 41 - S₁
Then,
[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]
[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]
[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]
This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
[tex]t^{2} = \frac{23.13 }{1.1}[/tex]
[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]
Hence, the time that elapses before the players collide is 4.59 secs
I REALLY NEED HELP PLEASE HELP ME
Answer:
52^8
Step-by-step explanation:
26^8 = 208827064576 + 26
Ronald wants to paint his drawing room wall which measures 8 feet by 9 feet. The cost of the paint is $14 per square foot. How much will it cost Ronald to paint the wall
Answer:
$1036
Step-by-step explanation:
His room is 8 x 9 = 72 feet. The cost of each square foot is $14.
So 72ft x $14 = $1036. So its going to cost him $1036.
i hope i helped :)
Answer: Answer is 1,008
Step-by-step explanation:
Because 9 x 8 is 72 ft
Take 72 + 14 is equal to 1,008.
HELP I DONT KNOW WHICH CHOICE TO PICK
Answer:
second option
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle
Given
hypotenuse = x[tex]\sqrt{2}[/tex] and
the combined length of the legs = 2x , then
perimeter = x[tex]\sqrt{2}[/tex] + 2x
how do i solve this? xw+vy-xy-vw
Simplify the expression: z8 * z-3
Answer:
z^5
Step-by-step explanation:
z^8 * z^-3
Since we are multiplying exponents and the bases are the same, we can add the exponents
z^(8-3)
z^5
Consider the composite function g (f (x)) = x StartRoot 6 EndRoot. If f(x) = 3x2, what is g(x)?
g (x) = StartRoot 2 x EndRoot
g (x) = StartRoot x + 3 EndRoot
g (x) = StartRoot 6 x EndRoot
g (x) = StartRoot 9 minus x EndRoot
Answer:
The answer is A on edge
Step-by-step explanation:
The required function g(x) = √2x
Given that,
The composite function g (f (x))= x √6
f(x) = 3x²
g(x) = To be determine.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
g (f (x))= x √6
g (3x²)= x √6
g (3x²)= √6x²
g (3x²)= √2*3x²
Let
x ⇆ 3x²
g (x)= √2x
Thus, the required function g(x) = √2x.
Learn more about function here:
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plzzzz Help!!!!!!
A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55
Answer:
The answer is 215=55x+40 or 215=40+55x
Step-by-step explanation:
The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.
Hope that helps
The next model of a sports car will cost 12.9% more than the current model. The current model costs $35,000. How much will the price increase in dollars
Answer:
The price increase in dollars= $4,515
Step-by-step explanation:
Cost of the next model = cost of the current model + 12.9% cost of the current model
Cost of the current model = $35,000
12.9% cost of the current model
= 12.9/100 × $35,000
= 0.129 × $35,000
= $4,515
Cost of the next model = cost of the current model + 12.9% cost of the current model
= $35,000 + $4,515
= $39,515
Cost of the next model = $39,515
The price increase in dollars= next model price - current model price
=$39,515 - $35,000
= $4,515
The price increase in dollars = $4,515
Use the table to complete the work to find the missing value. Conversion Chart Pints Ounces 3 48 7 ? 30 480 3 pints 48 ounces 11 pints ? ounces How many ounces are in 11 pints? o 144 o160 o 176 o 192
Answer:
176 ounces (C)
Step-by-step explanation:
if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..
also i got it right on edge :P
Answer: 176
Step-by-step explanation:
What is the measurement of this angle
Answer:
Acute, 40 degree angle
Step-by-step explanation:
Take 90 - 50 and you get 40
I hope this helps you :)
-KeairaDickson
Answer:
40°
Step-by-step explanation:
Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...
Need help on 3 thank you
Answer:
Cost: $10.00
Number of Tickets:26
Step-by-step explanation:
Each ticket is $0.50
20*$0.50=$10.00
For the tickets:
$13.00/$0.50=26 tickets
This year, Zachary has been babysitting his young cousins after school for $70 a month. His uncle also
gave him an extra bonus of $100 for his excellent work. Since school started, Zachary has earned more
than $500. How many months ago did school start?
Answer:
8
Step-by-step explanation:
Is 225 a perfect square and a perfect cube?
Answer:
Yes, it is!
Step-by-step explanation:
solve for x (2x+1) (x+29)
Can someone plss help mee ??
if f(x)=4-3x*2 then f(-2) is
Answer:
16
Step-by-step explanation:
f(-2)=4-3(-2)*2
f(-2)=4-3(-4)
f(-2)=4+12
f(-2)=16
A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.
Answer:
3(75) + 50C
Step-by-step explanation:
Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :
3(75) ----- Let that be equation (1)
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C --- Let that be equation (2)
here, C represents the total amount of colors in the number of T-shirts
Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:
= 3(75) + 50C
meaning of cube root
Answer:
The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. See: Square Root. Cubes and Cube Roots.
Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?
Answer:
36km/h
hope this helps!
Christine wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.65 per pound and raspberries cost $2.25 per pound. She only has $15 to spend on berries. Which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
Answer:
1.65x + 2.25y ≤ 15
Step-by-step explanation:
Strawberries = $1.65 per pound Raspberries = $2.25 per pound
Amount with Christine = $15
Let
pounds of strawberries = x
pounds of raspberries = y
PxQx + PyQy ≤ 15
1.65x + 2.25y ≤ 15
The inequality which represent the situation where she buys x pounds of strawberries and y pounds of raspberries is 1.65x + 2.25y ≤ 15
1.65x + 2.25y less than or equal to 15
Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)
Answer:
$15.75
Step-by-step explanation:
You can do this a couple of ways.
(1) Compute the tax, and add it to the price to find the total.
5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax
Then the total cost is $15 + $0.75 = $15.75.
__
(2) Add the percentage to 100% and use that to multiply the cost.
total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05
total cost = $15.75
A scientist has two kinds of solutions. The first solution is Solution A, which is an $80\%$ acid solution. The second solution is Solution B, which is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid?
Answer:
Step-by-step explanation:
a ) Let the volume required be v .
v x .8 + 500 x .3 / ( v + 500 ) = .7
.8 v + 150 = .7 v + 350
.1 v = 200
v = 2000 mL
b )
Let the volume of solution A required be v . The volume of solution of B required will be 100 - v
v x .8 + ( 100 - v ) x .3 / 100 = .5
.8 v + 30 - .3 v = 50
.5 v = 20
v = 40 mL
volume of solution B = 60 mL .
c )
It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .
volume of solution B = 60 mL
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?
Answer:
x = 3/2
Step-by-step explanation:
x = 3/2
Step-by-step explanation:
Given the equation 3/2(4x-2)-3x = 5-(x+2)
Open the parenthesis
3/2(4x) - 3/2(2) -3x = 5-x-2
6x-3-3x = 3-x
3x-3 = 3-x
Collect like terms
3x+x = 3+3
4x = 6
Divide both sides by
4x/4 = 6/4
x = 3/2
Hence the value of x is 3/2
PLZ HELP ME ! Solve for k
Step-by-step explanation
Give examples of two substances that look similar, but have different properties.
Answer:
Water and alcohol
Step-by-step explanation:
They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.
their smelltheir PHtheir density27x + 45y and 7(9x + 7y) are these equivalent?
Answer:
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
[tex]27x+45y[/tex]
Since there aren't any like terms here, your answer would be
[tex]27x+45y[/tex]
Let's solve for next one.
[tex]7(9x+7y)[/tex]
Let's add in parenthesis to 7.
[tex](7)(9x+7y)[/tex]
Now we will separate everything. And also you will have to add.
[tex](7)(9x)+(7)(7y)[/tex]
Now that we added we got our answer.
[tex]63x+49y[/tex]
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
No
Step-by-step explanation:
If you want to know whether they are equivalent or no, we will first have to find the value of both.
Since there aren't any like terms here, your answer would be
Let's solve for next one.
Let's add in parenthesis to 7.
Now we will separate everything. And also you will have to add.
Now that we added we got our answer.
Both values were not the same, so therefore, your answer is no, they are not equivalent.
Hope this helps!
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Please solve for a ! 24+5a=-a+6(5a-4)
Answer:
a = 2
Step-by-step explanation:
First of all you should remove parentheses by using distribution
24 + 5a = - a + 30a - 24
Then you should collect all like terms
24 + 5a = 29a - 24
After you should move the terms so the variables are only on one side.
5a - 29a = -24 - 24
Collect like terms
-24a = -48
After dividing both sides you get
a = 2
What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2
Answer:
132°Step-by-step explanation:
If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).
Given
<PQR = 3x-6
<RQS = x+ 2
To get x, we will use the relationship above;
3x-6+x+2 = 180
4x-4 = 180
add 4 to both sides
4x-4+4 = 180+4
4x = 184
x = 184/4
x = 46
Since <PQR = 3x-6, we will substitute the value of x into the formula;
<PQR = 3x-6
<PQR = 3(46)-6
<PQR = 138-6
<PQR = 132°
Hence the size of angle PQR is 132°
The area of a sector is 30 m2 in a circle with radius 4 m. What is the arc length of the sector?
Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15
Let n be a whole number, and consider the statements below. p: n is a multiple of two. q: n is an even number. Which of the following is equivalent to ~q → ~p? A. ~q → ~p B. q → p C. p → q D. ~p →~
Answer:
C. p -> q
Step-by-step explanation:
Just did this on Edge2020. Hope this helps :)