Train A has a speed 15 miles per hour greater than that of train B. If train A travels 310 miles in the same times train B travels 280 mileswhat are the speeds of the two trains?

9514 1404 393

Answer:

Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

In summary:

The end behavior of the graph of the polynomial function (x)=3x⁶+ 30x⁵ + 75x⁴ is  x→±∞, y→∞.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial function is f(x)=3x⁶+ 30x⁵ + 75x⁴

y=f(x)=3x⁴(x+5)²≥0

The zeros are 0, 0, 0,0,-5 and -5.

x-intercept ( y = 0 ): x = -5.

Local mini/max turning points ( y' = 0 ): 0 0, 0, -10/3 and -5.-,

As x→±∞, y→∞.

Hence, the end behavior of the graph of the polynomial function (x)=3x⁶+ 30x⁵ + 75x⁴ is  x→±∞, y→∞.

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Answer:

the 4th option

Step-by-step explanation:

ed2023

Answer:

solution given:

e^2=36

e=±√36=±6 is your answer

Answer:

it will be in a rectangle shape

Step-by-step explanation:

that go there

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

30 days

Step-by-step explanation:

you earn 10 vacation days a year, multiply that by 3 to get 30 days in 3 years

If you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainly

Answer:

30 vacation days

12 months ÷ 6 months = 2

so 1 yeah has you would earn 10 vacation , multiple that by 3

Here’s some information about what Pi (π) is:

Intro

Pi (π) is a number whose decimal digits go on forever and they don’t repeat itself. It’s in the category called irrational numbers, because you can’t rationalize pi.

History

Before pi was created, famous philosophers used tape measure to measure the ratio between the circumference and diameter of a circle. And when they did, they found out that the ratio between the circumference and diameter was roughly about 3.1. But as mankind evolved to have better tape measures and more technology they can use, they found out that the ratio between the circumference and diameter had a number that kept on going forever. It would go like 3.1415926.... and it would go on and on. So, the number pi was introduced by scientists and mathematicians found out that pi turned out to be an irrational number.

Daily Usage

Pi was turned into the symbol π so people don’t have to write the full digits of pi. But now we use pi now in our daily mathematical lives. Pi is almost in every form of mathematics, especially in geometry and trigonometry. Pi is full of new things and it really expanded our understanding of mathematics.

Pi (π) truly has an interesting and fascinating history

Hope this helps! :)

The matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\)

A collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Given Ax = b, we know that xˆ solves the least squares problem:

xˆ \(= (A^{T} A)^{-1} A^{T} b\)

And that bˆ = Axˆ. Therefore, we get bˆ by multiplying both sides of our previous equation by A:

bˆ = Axˆ \(= A(A^{T} A)^{-1} A^{T} b\)

Therefore, the matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\).

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Answer:it’s divided by 8

Step-by-step explanation:

Hope it help

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Answer: The answers are y=1+i, x=–1+i, and y=1–i, x=–1–i.

Step-by-step explanation: Solve for the first variable in one of the equations, and then substitute the result in the other equation.

Answer: B. 45 degrees

Step-by-step explanation:

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

Yes, This situation represent a function.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The cost of each car = $40

The cost of each person = $8.50

Let the number of car = x

The number of persons in a car = z

Then, Total cost of car = $40x

Total cost of persons in car = $8.50z

So, Total cost (y) = $40x + $8.50z

Thus, The function for this situation is;

y = $40x $8.50z

Clearly, This is a linear function with three variable.

Thus, This situation represent a function.

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Answer:

15x+30y-220

Step-by-step explanation:

The blue shaded portion on the top left side is described as forming lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion W. D.

To graph the system of inequalities y ≥ 1/3x - 2 and y ≤ -4x - 2, we will plot the lines corresponding to each inequality and shade the region that satisfies both inequalities.

First, let's graph the line y = 1/3x - 2.

We can find two points on this line and connect them with a straight line:

Using (6, 0):

y = 1/3(6) - 2

y = 2 - 2

y = 0

So we have the point (6, 0).

Using (0, -2):

y = 1/3(0) - 2

y = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 1.

Next, let's graph the line y = -4x - 2 using the same process:

Using (0.5, 0):

0 = -4(0.5) - 2

0 = -2 - 2

0 = -4

So we have the point (0.5, 0).

Using (0, -2):

-2 = -4(0) - 2

-2 = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 2.

Now, we need to shade the region that satisfies both inequalities.

The shaded region will be the region where Line 1 is above Line 2.

Based on the given descriptions of the shaded portions W, X, Y and Z we can determine the correct option.

The blue shaded portion on the top left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion X.

The blue shaded portion on the left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Y.

The blue shaded portion on the bottom left side is described as forming when lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Z.

Based on this information, we can determine the correct option:

A. X

B. Y

C. Z

D. W

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Answer:

When we have a statement:

If P then Q

Where:

P is the hypothesis.

Q is the conclusion

The Law of Detachment says that:

Statement 1: if P, then Q.

Statement 2: P is true:

the law says that: Q is true.

In this case:

Statement 1: "If A is less than 90°, then A is an acute angle."

P = A is less than 90°

Q = A is an acute angle

Statement 2: A = 75°.

Then by statement 2 we know that A is smaller than 90°.

Then P is true.

This means that, by the Law of Detachment, Q is also true.

Then we can conclude that A is an acute angle.

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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Answer:

Hi and have a great day!

Step-by-step explanation:

Step-by-step

I hope it helps you

Answer: -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The figure is a composite of a cylinder added to a cone.

The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.

So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.

  V = πr²h

  V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³

The volume of the "silo" is 256π ≈ 804.25 m³.

_____

If you use 3.14 for π, you will get 803.84 m³.

Answer:

6x - 3

Step-by-step explanation:

1/2 of (8x-6) = (8x-6)/2 = 8x/2 - 6/2 = 4x  - 3

then:

1/2 of (8x-6) + 2x = (4x-3) + 2x = 4x + 2x - 3

= 6x - 3

The x intercept of y = -2x - 21 is  \(\frac{-21}{2}\)

The y intercept of y = -2x - 21 is -21

What is x - intercept and y - intercept of a line?

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

The given equation of line is

y = -2x - 21

For x intercept, we have to put y = 0

\(-2x - 21 = 0\\2x = -21\\x = \frac{-21}{2}\)

So the x intercept is \(\frac{-21}{2}\)

For y intercept, we put x = 0

\(y = -2\times 0 -21\\y = -21\)

The y intercept is -21

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please