Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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12x-2=12x solve for x or is it no solution
12x - 2 = 12x
Step 1:
12x - 12x = 0
Step 2:
Bring down your -2 and your x
Answer:
x = -2
Mrs.Roberts drives 3/4 miles in 1/2 minute. How many miles can she drive in 1 minute?
Answer:
1 1/2 OR 1.5 in decimal form
Step-by-step explanation:
If Mrs. Roberts drives 3/4 miles in half a minute, 1/2 x what = 1? 2. Multiply both items by 2. 3/4 x 2 = 6/4, also known as 1 1/2 or 1.5 Hope this helped!!
what is the percent of games won if a team won 95 games and lost 65 games?
Answer:
The percent for games that were won is 59.375%.
Step-by-step explanation:
PLEASE PLEASE HELP ILL GIVE U BRAINEST
Answer:
I only / 1 only
Step-by-step explanation:
Function rules: no same x-values and must pass vertical line test
1: all different x-values
2: has two of the same x-values
3: doesn't pass vertical line test
Hopefully this helps!
Brainliest please?
Answer:
1 only (I hope im right)
Step-by-step explanation:
Hope this helps:)
BRAINLY TO WHOEVER GETS IT RIGHT
Lauren has two summer jobs. During the week she works in the grocery store, and on
the weekend she works at a nursery. She gets paid $21 per hour to work at the grocery
store and $16 per hour to work at the nursery. How much does she earn if she works
8 hours at the grocery store and 6 hours at the nursery? How much does she earn if
she works g hours at the grocery store and n hours at the nursery?
total pay, 8 hours at the grocery store and 6 hours at the nursery: ____
Total pay, g hours at the grocery store and n hours at the nursery: ____
4 2/3x4=something/3x4/1=
Answer:
4 2/3x4= 14x^4/3
3x4/1 = 3^4
Step-by-step explanation:
5+4(-20)
Be sure to consider the order of operations!!
Answer:
[tex]5 + 4( - 20) \\ 5 + ( - 80) \\ 5 - 80 \\ = - 75[/tex]
I hope I helped you^_^
Answer:
5+4(-20)
Step-by-step explanation:
So you do the one's in parentheses first, which is -20, and then you do 5+4 which is 9
PLEASE HELP!! Will mark Brainliest!
This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?
Answer:
What is a polynomial?
- In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is a rational function?
- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Are all polynomials rational functions?
.A function that cannot be written in the form of a polynomial, so no they are not all functions.
[tex]6^{4x-9} =(\frac{1}{36} )^{x-4}[/tex]
[tex]\displaystyle \large \boldsymbol {} 6^{4x-9} =\bigg(\frac{1}{36} \bigg)^{x-4} \\\\\\ 6^{4x-9}=(6^{-2})^{x-4 }\\\\\\ 6^{4x-9}=6^{-2x+8} \\\\\\ 4x-9=-2x+8 \\\\\\ 4x+2x=9+8 \\\\\\ \boxed{x=\frac{17}{6}=2\frac{5}{6} }[/tex]
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 4.
O A. F(x) = x and G(X) = A
B. Fx) = 5x and G(X) = 4x
C. F(x) = 4x and G(x) = 5x
D. Fx) = 5x and G(x) = 4
SUBMIT
Answer:
ji aap ka answer number (B) wala hai
hope it's help you (^0^)
The composite function G(F(x)) = 4√x is for the functions when F(x) = √x and G(x) = 4x.
What is Composition of Functions?Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).
h(x) is called the composite function.
Given that, the composite function is,
G(F(x)) = 4√x
We have to find the functions G(X) and F(x).
We know that,
G(F(x)) is the function G(x) when x is changed to F(x).
Let G(x) = 4x
In G(F(x)), x will be replaced by F(x).
In order to get 4√x, x is replaced by √x.
So, F(x) = √x
Hence G(x) = 4x and F(x) = √x.
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Find the slope of the line.
Answer:
The slope is y = x
Step-by-step explanation:
You can find the slope by using the rise over run method with two points.Let's take (1,1) and (2,2). From the first point to the second point, (1,1) goes up one unit and to the right one unit.So the rise over run is 1/1, or 1, which means the slope is 1.
Answer:
m = 1x
Step-by-step explanation:
This is the easiest slope you'll ever have to calculate - if you even need to as it's self explanatory looking at it! Slope = rise/run, thus slope = 1/1 = 1.
solve 4 with exponent -4 without the exponent in other words
4 exponent -4 without exponent
Answer:
[tex] \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} \times \frac{4}{1} = \frac{256}{1} = - 256[/tex]
Step-by-step explanation:
I dont know if I'm right or not
but this is how I learned it
Write an equation with infinitely many solutions that has the Expression 3x+6 on the left side of the equal side. Demonstrate that your equation has infinitely many solutions.
1 table can fit 6 people, but you want to connect them with the short sides. How many tables will you need if you want to combine the tables together?
Answer:
a.The tables to combine together
Please help me solve this problem ASAP
Answer:
x=1.6
Step-by-step explanation:
PLEASE HELP!!!
for questions 8-10 write an equation of the line graphed.
Answer:
8.) y=4/3x+2
9.)y=-0.5x+5
10.)x=1
guys pls help me!!!!!!!
Answer:
The answer is t = 17
Step-by-step explanation:
Sum of angles on a straight line = 180⁰
(2t -7) + 90 + 49= 180
(2t -7) +139 = 180⁰
2t -7) = 180 - 139
2t - 7 = 41
2t = 41 - 7
2t = 34
Divide both sides by 2
t = 17
Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
Help please I really don’t understand this
Answer:
yea i agree with scorpiowo the asnwer is B
Step-by-step explanation:
Mark solved the equation 23x=9 by using the Division Property of Equality to get x=6. Did Mark solve the equation correctly? Explain why or why not.
Answer:
wrong
Step-by-step explanation:
The division property states that when we have an equation in the form [tex]ax=b[/tex], then [tex]x=b/a[/tex](i.e. we "divide" by [tex]a[/tex] on both sides).
So, Mark was supposed to get [tex]x=9/23[/tex], which is not equal to [tex]6[/tex].
So, Mark solved it [tex]\boxed{wrong}[/tex]
No, Mark solve the equation correctly.
because, Mark was supposed to get x = 27/2 , which is not equal to x= 6.
The division property of equality applicable.
The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same. The formula for this property is if a = b, then a / c = b / c.
We have the following information available from the question is:
The equation is:
[tex]\frac{2}{3}x=9[/tex]
It solved by using the Division Property of Equality and get x = 6
If we solved for x: then,
x = 27/2
No, Mark solve the equation correctly.
So, Mark was supposed to get x = 27/2 , which is not equal to x= 6.
Learn more about Division property at:
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The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function ?
Answer:
a
Step-by-step explanation:
divide the cost by the number of goldfish
rewrite 6.00 as 600 and divide by 20 to get 30
then add the decimals back to get 0.30
Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm
Answer:
take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root
how do you solve 2 to the 35th power
Answer:34359738368
Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner
If you sell $1000 worth of popcorn, then your Boy Scout dues are free. Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Boy Scout dues are free.
This conclusion was draw using the law of contrapositive
This conclusion was draw using the law of detachment
This conclusion was draw using the law of syllogism
An invalid conclusion was made
A rainwater collection system collects water into a holding tank. For every 1 cm of rainfall on a 100 m² roof, 1,000 L of water can be colleA. How many liters of water can be crainfall on a 120 m² roof?
Part B. How many centimeters of rainfall are needed to fill a 40,000 L holding tank from a 120 m² roof?
Answer:
A: 3 0 0
B: 150 ;-;
Step-by-step explanation:
Niall poured 2.5 liters of sports drink on
each of his two bandmates' heads after a
concert. How many centiliters did he
dump all together?
Answer:
500 centiliters
Step-by-step explanation:
Using a phase is helpful for conversions. I like this one "King Henry died by drinking chocolate milk".
K- Kilo : 0.001
H- Hecta : 0.01
D- Deca : 0.1
b- base (gram, liter, meter, etc) : 1
d- deci : 10
c-centi : 100
m-milli : 1000
For every step up or down you move the decimal one place over depending on if you go up or down.
So, for 2.5L as centiliters you would move the decimal over two spots giving you 250 centiliters. You can also multiply or divide by 10 for each step taken. so for two steps you would multiply by 100, also giving you an answer of 250 centiliters. This is then multiplied by two as 250 cL was dumped twice.
I'm a 6th grader, does anyone know helpful ways to subtract mixed numbers and divide them?
Answer:
Are you asking how to break down a Fraction?
Answer:
I don't know
Step-by-step explanation:
|3 - 5 + 7|.
O 15
O 5
O -15
O -5
Answer:
5
Step-by-step explanation:
The answer is 5
because 3 - 5 = -2
and -2 + 7 = 5
so the answer is 5
HELP PLEASE
Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of ABC?
it is a polynomial equation of degree two that can be written in tche form, where a,b, and c are real numbers and a =/
Answer:
A quadratic function is a second degree polynomial function. The general form of a quadratic function is this: f (x) = ax2 + bx + c, where a, b, and c are real numbers, and a≠ 0.