Answer:
The small cart has a momentum of 0.6 kg ⋅ m/s and the large cart has a momentum of 0 kg ⋅ m/s
I just took the test.
0.6 kg and 0 kg p=mv100 kg * m/sThe train cars move together in the direction the large car was movingM1V1 i + M2V2 f = M1V1 f +m2 v2 felastic collision, because the law of conservation of momentum was followed.The ratio of useful energy output to energy input.80%Convert 35 miles per gallon to kilometers per liter.
Answer:
14.88 kilometers per liter.
Step-by-step explanation:
^
y = 4x + 3 in standard form (NO LINKS,will give brainliest)
Answer:
4x−y=−3
Step-by-step explanation:
The standard form of a linear equation is Ax+By=C
Rewrite the equation with the sides flipped.
4x+3=y
Move all terms containing variables to the left side of the equation.
Subtract y from both sides of the equation.
4x+3−y=0
Move 3
4x−y+3=0
Subtract 3 from both sides of the equation.
4x−y=−3
Answer:
4x - y = -3
Step-by-step explanation:
Rearrange the equation.
y = 4x + 3
0 = 4x +3 - y
-3 = 4x - y
Quick math question 100 points pls help
Thisbis a general geometric progression
first term=a=9common ratio=2/3=rSo iterative formula
ar^{n-1}9(2/3)^{n-1}Answer:
[tex]a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}a_1=9\\a_n=\frac{2}{3}(a_n-1)\end{cases}[/tex]
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a is the first termr is the common ratioTherefore:
[tex]a = a_1 = 9[/tex][tex]r = \dfrac{2}{3}[/tex]Substitute the given values into the general formula:
[tex]\implies a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
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PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
-3
Step-by-step explanation:
what is 10/7 divided by 4
Answer:
0.3
Step-by-step explanation:
Answer:
5/14Step-by-step explanation:
what is 10/7 divided by 4
10/7 : 4 =
10/7 * 1/4 =
5/14
l=[tex]\lim_{x \to \0} x^{sin x}[/tex]
By applying the exponential and logarithmic functions, we have
[tex]x^{\sin(x)} = \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]
Then in the limit,
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \lim_{x\to0} \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \ln \left(x^{\sin(x)}\right)\right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \sin(x) \ln(x) \right)[/tex]
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\ln(x)}{\csc(x)} \right)[/tex]
As x approaches 0 (from the right), both ln(x) and csc(x) approach infinity (ignoring sign). Applying L'Hopitâl's rule gives
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\frac1x}{-\csc(x)\cot(x)} \right) = \exp \left( -\lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} \right)[/tex]
Recall that
[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}{x} = 1[/tex]
Then
[tex]\displaystyle \lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} = \lim_{x\to0} \frac{\sin(x)}{\cos(x)} = \lim_{x\to0} \tan(x) = 0[/tex]
So, our limit is
[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp(0) = \boxed{1}[/tex]
Find the slope of the line that contains the following pair
of points:
(-4, 1) and (2, 5).
Answer:
[tex]\displaystyle m = \frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify.
Point (-4, 1)
Point (2, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in variables [Slope Formula]: [tex]\displaystyle m = \frac{5 - 1}{2 + 4}[/tex][Order of Operations] Add/Subtract: [tex]\displaystyle m = \frac{4}{6}[/tex]Simplify: [tex]\displaystyle m = \frac{2}{3}[/tex]10. Two-sixths of the marbles are red. If there are 8 more blue marbles than red marbles, how many marbles are there in all? A. 20
B. 22
C. 24
D. 26
pls answer it I need it rn♥
Answer:
The Answer is Option C. 24
Explanation:
Red Marbles = [tex] \frac{2}{6} \times 24 = 8[/tex]
Blue Marble = (Red Marbles [tex] + 8[/tex])
Total Marbles = (Red Marbles+Blue Marbles) =[tex](8 + 16)[/tex] [tex] = 24[/tex]
Find the slope
Find the slope
Answer:
2
Step-by-step explanation:
Given A = {x ∈ ℤ : 4|x} and B = {x ∈ ℤ : 2|x}. Prove A ⊆ B.
Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.
We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.
Therefore A ⊆ B.
Solve the equation. -12=2/3x+6
Answer: it should be -27
Step-by-step explanation:
How many 3/4 can fit into 3?
Answer:
3
Step-by-step explanation:
help me please!!!!!!!!!!
-7.21 < - 7.18 < -7.09 < 6.99 < 7.15
Step-by-step explanation:
-7.21
-7.18
-7.09
6.99
7.15
shara spent $44 dollars on 4 new t-shirts. if each t-shirt is the same price how much did each shirt cost?
-12 exponent-2 equals please help me find
Step-by-step explanation:
[tex] = { (- 12)}^{ - 2} [/tex]
[tex] = \frac{1}{ {( - 12)}^{2} } [/tex]
[tex] = \frac{1}{ {12}^{2} } \: or \: \frac{1}{144} [/tex]
A jar contains n nickels and d dimes. There are 28 coins in the jar, and the total value of the coins is $2.10. How many nickels and how many dimes are in the jar?
Answer:
Step-by-step explanation:
So how u do it is
you take 28 and 2.10 and you add it.
you add it with the bigger number at the bottom and the smaller number at the top. You then add it and that’s how many nickels and dimes are in the jar.
Hope this helped. Hehe
Plz help I need help
Answer:
x=31.5
Step-by-step explanation:
Which of the following is a one to one function ???
Ruben receives a weekly allowance. Each week, he spends $5 on candy and saves $7 for
college. He donates the remaining $2 to a children's hospital.
How much is Ruben's weekly allowance?
Answer: $14
Step-by-step explanation:
We know that Ruben spends $5 on candy, and saves $7 for college. If we add these together we get 12. Remaining: $2, which he donates to a children’s hospital. So 7+5+2=14, so Ruben has a weekly allowance of $14.
I need help with this question. This is my first time using this app so I don’t know how to include multiple images in one message.
Answer:
100
Step-by-step explanation:
you see im very smart
James is making a scale model of his bedroom. The model is
0.6 feet wide. If the actual room is 17.5 times as wide as the
model, what is the width of James's room?
A 18.1 feet
(B) 17.11 feet
© 16.9 feet
D 10.5 feet
Answer:
D
Step-by-step explanation:
0.6x17.5 which is 10.5
A city manager determined that the city’s busiest intersection averages 530 cars per hour during afternoon rush hour. Assume that the standard deviation is 38.4 and a random sample of 60 hours was used to determine the average. Which statements are true about this situation?
A.The sample isn’t large enough to use a normal distribution.
B. The margin of error for 99% confidence is about 11 cars.
C.The margin of error for 95% confidence is about 10 cars.
D. The 95% confidence interval is from about 508 to 552 cars.
E. The 99% confidence interval is from about 517 to 543 cars.
Answer:
its c and e
Step-by-step explanation:
A salesperson receives a commission of $120. He earns 4% commission of his total sales.
What is this salesperson's total amount of sales?
the answer is 3,000
4% × 25 = 100%
$120 × 25 = $3000
Luna goes to the convenience store with $20.00. She buys 3 frozen drinks for
$2.25 each and a snack for $3.85. How much money does she have left?
No links plsss and help fast plss
option B is correct, the money Luna left with is $20.00-(3×2.25+3.85)
What is Expression?An expression is combination of variables, numbers and operators.
Given that Luna goes to the convenience store with $20.00.
Luna buys 3 frozen drinks for $2.25 each and a snack for $3.85.
The cost for 3 frozen drinks will be 3×$2.25
The cost of snacks is $3.85.
To find the money left we have to subtract the amount spend for drinks and snack.
$20.00-(3×2.25+3.85)
Hence, option B is correct, the money Luna left with is $20.00-(3×2.25+3.85)
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Zeke is redoing the floor in his kitchen.the floor has a width of 7 feet and an area of 98 square feet. What is the length of Zeke’s kitchen floor
The length of the floor is obtained as 14 feet.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The kitchen floor can be considered as a rectangle.
The width is given as 7 feet.
Suppose the length of floor be x feet.
Since, the area of a rectangle is the product of length and width, the following equation can be written for the given case,
7x = 98
=> x = 98/7
= 14
Hence, the length of the kitchen's floor is found to be 14 feet.
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1. Is the relation on the right a function? Explain.
2. Can you state the domain and range of a relation that is not a function? If yes, what is the
domain and range of the relation on the right?
Answer:
Step-by-step explanation:
A relation is a function if every input has exactly one output. The domain and range of a relation that is not a function can have multiple outputs for a single input.
1. A relation is considered a function if every input has exactly one output. To determine if the relation on the right is a function, we can examine the x-values and see if any are repeated. If there are no repeated x-values, then it is a function. If there are repeated x-values, then it is not a function.
2. A relation that is not a function can have multiple outputs for a single input. The domain of a relation refers to the set of all possible input values, while the range refers to the set of all possible output values. Without the relation provided, it is not possible to state the specific domain and range.
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Each day David drives to work in the moming, returns home for lunch, drives back to work, and then goes to a gym to exercise before he returns home for the evening. Draw a reasonable graph to show the distance David is from his home for a two-day period
Answer:
9 Km a su casa
Step-by-step explanation:
0j
tha distance y that cam swims in x minutes is a proportional relationship. the data from his most recent swims are shown in the table. Brittney calculates that she swims 51.3 meters per minutes. Who is the lower swimmers?
Step-by-step explanation:
Do not know sorry
........ M
In Isaac's closet, the ratio of short-sleeve to long-sleeve shirts is 5:2.
If Isaac has 30 short-sleeved shirts, how many long-sleeved shirts does he have?
Answer:
12 long sleeved
Step-by-step explanation:
30 / 5 = 6
6 x 2 = 12
Answer:
12
Step-by-step explanation:
The 5 part of the ratio relates to 30 short- sleeved shirts.
Divide by 5 to find the value of 1 part of the ratio
30 ÷ 5 = 6 ← value of 1 part , then
2 parts = 2 × 6 = 12 ← long- sleeved shirts
If f(x)= [tex]\sqrt{x^2-4}[/tex] and g(x)=3x-2, then the derivative of f(g(x)) at x=3 is
Answer:
[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = \sqrt{x^2 -4} \text{ and } g(x) = 3x-2[/tex]
And we want to find:
[tex]\displaystyle \frac{d}{dx}\left[f(g(x))\right] \text{ at } x = 3[/tex]
Recall that from the chain rule:
[tex]\displaystyle \frac{d}{dx}\left[ f(g(x))\right] = f'(g(x)) \cdot g'(x)[/tex]
Hence, find both f'(x) and g'(x).
The derivative of f(x) can be determined using the chain rule:
[tex]\displaystyle \begin{aligned} f'(x) &= \frac{d}{dx}\left[ \sqrt{x^2-4}\right]\\ \\ & = \frac{1}{2\sqrt{(x^2-4)}}\cdot \frac{d}{dx}\left[x^2-4\right] \\ \\ & = \frac{x}{\sqrt{x^2-4}} \end{aligned}[/tex]
Because g(x) is simply a linear function, its derivative will be the slope of the linear function at any point. That is:
[tex]\displaystyle g'(x) = 3[/tex]
Hence:
[tex]\displaystyle \begin{aligned} \frac{d}{dx}\left[f(g(x))\right] & = \frac{(g(x))}{\sqrt{(g(x))^2-4}} \cdot (3) \\ \\ & = \frac{9x-6}{\sqrt{(3x-2)^2-4}} \end{aligned}[/tex]
Then at the point x = 3, the derivative is:
[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]
