Two​ trains, Train A and Train​ B, weigh a total of 378 tons. Train A is heavier than Train B. The difference of their weights is 210 tons. What is the weight of each​ train?

Answer:

d. 60

Step-by-step explanation:

\((2x + 30) \degree = (4x - 90) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 2x + 30 = 4x - 90 \\ \\ 30 + 90 = 4x - 2x \\ \\ 120 = 2x \\ \\ x = \frac{120}{2} \\ \\ x = 60\)

The slope intercept is  mathematically given as

x-intercept(s): (-2,0)

\(y=-\frac{1}{3}\\\\$y$-intercept(s): $\left(0,-\frac{1}{3}\right)$\)

This is further explained below.

Generally,

x+6 y=-2

Find the x-intercepts.

To find the x-intercept(s), substitute 0 for y and solve for x.

x+6(0)=-2

Simplify x+6(0).

x=-2

x-intercept(s) in point form.

x-intercept(s): (-2,0)

Find the y-intercepts.

To find the y-intercept(s), substitute 0 for x and solve for y.

(0)+6 y=-2

Solve the equation.

List the intersections.

x-intercept(s): (-2,0)

\(y=-\frac{1}{3}\)

\(y=-\frac{1}{3}\\\\$y$-intercept(s): $\left(0,-\frac{1}{3}\right)$\)

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If two expressions have the same coefficients of the variable, then the variable can be any number

For the first choice

3(3r + 3) = 9r + 9 === 1st expression

6r + 6 ===== 2nd expression

If we equate them

9r + 9 = 6r + 6

If we solve the equation we will find just one value of r

9r + 9 - 6r = 6r - 6r + 6

3r + 9 = 6

3r + 9 - 9 = 6 - 9

3r = -3

r = -1

But in the other choices, the two expressions have the same coefficients of r

Then when we equate them they will cancel each other

Then r can be any value

Because it does not affect the equation

The better use for paired samples or independent samples is,

a) Paired sample

b) Independent sample

c) Independent sample

d) Paired sample

We have,

To construct a confidence interval for each of the following quantities,

a. The mean difference in height between identical twins.

b. The mean difference in height between men and women.

c. The mean difference in apartment rents between apartments in two different cities.

d. The mean difference in apartment rents in a certain town between this year and last year.

Hence, Identify better use for paired samples or independent samples as,

a. Paired Samples, because the heights of the identical twins are dependent on each other.

b. Independent Samples; the height of men and women are independent of each other.

c. Independent Samples; rents in two different cities are not expected to be dependent on each other.

d. Paired Samples; rent in a certain town between this year and last year is dependent on each other.

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Complete question is,

Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.

a. The mean difference in height between identical twins.

b. The mean difference in height between men and women.

c. The mean difference in apartment rents between apartments in two different cities.

d. The mean difference in apartment rents in a certain town between this year and last year.

Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

2005 is 10 years after 1995.

\(392(10)+5400=\boxed{\$8690}\)

The solution set of an equation is a collection of all the values called "solution set" or "root set" that make the equation true.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The solution set of an equation is a collection of all the values that make the equation true. In mathematical terms, it's the set of all values that satisfy the equation.

The solution set can be represented graphically on a number line or coordinate plane, or it can be expressed as an ordered pair, a set of ordered pairs, or an interval. In some cases, the solution set may be empty, meaning there are no values that satisfy the equation. In other cases, it may contain a single solution, infinitely many solutions, or a range of solutions.

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Answer:

it is 0.34

Step-by-step explanation:

Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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To find the value of the limit given that f is differentiable at 0 and f'(0) = -11, we will use the chain rule.

The student question asks for the value of the limit: lim(x→0) [(f(x) - f(0)) / x].

Step 1: Rewrite the expression using the definition of derivative.
The limit expression is equivalent to lim(x→0) [(f(x) - f(0)) / x] = f'(0).

Step 2: Apply the chain rule.
The chain rule states that if we have a composition of functions, say g(f(x)), then the derivative of the composition is the derivative of the outer function evaluated at the inner function, times the derivative of the inner function. In this case, we are looking for the derivative of f(x) evaluated at x=0, which is f'(0).

Step 3: Use the given information.
We know that f'(0) = -11.

Step 4: Substitute the value of f'(0) in the limit expression.
lim(x→0) [(f(x) - f(0)) / x] = f'(0) = -11.

Therefore, the value of the following limit is -11. The chain rule helps justify this answer, as we used the definition of the derivative and the given information about f'(0) to determine the limit value.

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Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

Answer:

r = -6

Step-by-step explanation:

6r + 7 = 13 + 7r

-6r both sides

7 = 13 + r

-7 both sides

r + 6 = 0

-6 both sides

r = -6

Answer:

r = -6

Step-by-step explanation:

basically send the letters on one side (preferably the left) of the = sign... and the numbers on the other side. Remember when you pelting things across the equal sign, you have to switch the signs... meaning positive (+) will become negative (-) or vice versa...

6r + 7 = 13 + 7r

6r - 7r = 13 - 7

-1r = 6

r = -6

Answer:

A. \(y=-3x+16\)

B. \(y=3x+5\)

C. \(y=\frac{1}{3}x+1\)

Step-by-step explanation:

A.

\(y-10=-3(x-2)\)

\(y-10=-3x+6\)

\(y=-3x+16\)

B.

\(y-2=3(x+1)\)

\(y-2=3x+3\)

\(y=3x+5\)

C.

\(y-2=\frac{1}{3}(x-3)\)

\(y-2=\frac{1}{3}x-1\)

\(y=\frac{1}{3}x+1\)

During the Depth-First Search, the maximum number of nodes stored in the frontier at any provided point will be 4.

In a Depth-First Search (DFS), the maximum length of the frontier refers to the maximum number of nodes stored in the search frontier (also known as the stack) at any provided point during the search process.

In the provided state space, the node with the initial state has 4 successors, and each of those successors has 3 successors.

Since this is the entire state space, we can determine the maximum length of the frontier during a DFS by considering the longest path from the initial state to the solution state.

In this case, the longest path can be found by always choosing the last successor at each level until reaching the solution state.

Therefore, the maximum length of the frontier during a DFS in this state space will be equal to the depth of the longest path.

Based on the provided information, the longest path consists of 4 levels (initial state -> 4 successors -> 3 successors -> 3 successors -> solution state).

Therefore, the maximum length of the frontier during a DFS in this state space is 4.

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Answer:

8/9

Step-by-step explanation:

1/3 divided by 3/8 is 8/9

Step-by-step explanation:

Let L= Liam's weight, and K = Kiwi's weight.

We know that L/K = 7/4

We also know that L = K + 90

Rearrange the first equation to find K:  

Now use K = 4L/7 in the second equation:

Check the math:

If L = 210, then K must be L - 90, or 120 pounds

Does L/K = 7/4?

(L/K) = (210/120) = 7/4  YES

Answer:

Whats ur quetsion?

Answer:

0.489 yards per second

Step-by-step explanation:

Answer:

212 is the correct answer hope it helps

Answer:

(-2,-4)

Step-by-step explanation:

Please make me Brainliest

Answer: 2/10 is larger

Step-by-step explanation:

(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Answer:

0

Step-by-step explanation:

There's no letter "k" in the phrase "super awesome".

Answer:

3

Step-by-step explanation:

Answer:

If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line

Answer:

x = 7

Step-by-step explanation:

since we know y = 4, we can plug this into the equation to find x

8x - 2y = 48

8x - 2(4) = 48

8x - 8 = 48

8x = 56

x = 7

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y=4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x -8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x = 7

Step-by-step explanation:

19 tens

18 hundreds

false

true

true

true

Answer:

wait wut!!!?????????

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

\( Mean = \frac {total \; scores}{number \; of \; games} \)

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.