A train traveled at 100 mph for 2 hours,then wen an additional 2 hours at 85mph. Which expression gives the number of miles the train traveled?

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

I think it is the definition of segment bisctor which is KM

But I'm not sure

The side HM ≅ JM , by the definition of line bisector, the correct option is B.

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

The triangle in the figure is Δ HKJ,

It is an Isosceles Triangle, in an isosceles triangle, the two sides are equal, and so the corresponding angles are also equal.

The segment KM bisects the base HJ

The step 1 is

KM bisects the base HJ ( given)

HM ≅ JM   ( this is due to the definition of segment bisector)

According to the definition of segment bisector, when a line is cut by a bisector it divides the line into two equal parts.

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The graph is based on amplitude.

Given the function:

f(t) = 5sin3t

To draw the graph of above function.

The function g(t) = sin t is a periodic function with amplitude \(a_{0}\) = 1 and period \(t_{0}\) = 2\(\pi\)

For our case, the 5 that multiplies g (t) increases the amplitude so that,

a = 5 x 1 = 5 and the 3 that multiplies the variable increases the period being t = 2\(\pi\) x 1/3 = 2\(\pi\)/3

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

See the graph in the bottom of explanation.

Hence, The graph is based on amplitude.

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Answer:

below

Step-by-step explanation:

q=9/2

The solution of the proportion for the value of q will be 9 / 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2 / 3 = 3 / q. The expression will be solved as:-

2 / 3 = 3 / q

q = ( 3 x 3 ) / 2

q = 9 / 2

Therefore, the solution of the proportion for the value of q will be 9 / 2.

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Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

And it is the angle at the centre of a circle

The theorem,

Angle at the centre of a circle = 2 x angle at the other part of the circumference

Hence;

Divide both sides by 2

Part B:

We are to find the angle at the centre in this case

The angle at the centre is NQ and P is the angle at the circumference

Applying the same theorem as we used in part A, that is

Angle at the centre of a circle = 2 x angle at the other part of the circumference

Hence, angle N = 32 degrees and angle NQ = 106 degrees.

Answer:

\(\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)\)

Step-by-step explanation:

Vector Addition

We are given the points A=(1,3), B=(-4,5), C=(-2,10), D=(0,1). Find:

\(\overrightarrow{AB}+\overrightarrow{CD}\)

First, find both vectors from the initial and final points:

\(\overrightarrow{AB}=(-4-1,5-3)=(-5,2)\)

\(\overrightarrow{CD}=(0-(-2),1-10)=(2,-9)\)

Now find the sum of both vector by adding the components separately:

\(\overrightarrow{AB}+\overrightarrow{CD}=(-5,2)+(2,-9)=(-3,-7)\)

\(\boxed{\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)}\)

Answer:

1 DVD cost $6.30

Step-by-step explanation:

Simply divide 25.20 by 4

25.20/4=6.3

1 DVD cost$ 6.30

Hope this helps : )

Answer:

Step-by-step explanation:

8x+9/x^2-13x+42

Write  8 x  as a fraction with denominator 1

8x+9/x^2-13x+42

then we multipuly 8x/1  by x^2/x^2

Answer:

4.6833333 Hours

Step-by-step explanation:

14 hrs=840 min

843/3

281minutes

281 min= 4.6833333 Hours

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Answer:

Give us a graph

Step-by-step explanation:

Bshsjsjfkfnsbxbcu

Answer:

47.1 cm

Step-by-step explanation:

The formula for finding circumference is πd. So, plug in the given values and simplify the expression:

d = 15

π = 3.14

15 × 3.14 = 47.1

The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be 47.1 cm.

Answer:

\(\boxed {\boxed {\sf 47.1 \ cm}}\)

Step-by-step explanation:

The circumference of a circle is the perimeter or the distance around the circle. It is calculated using the following formula:

\(c= \pi d\)

The diameter of the circle is 15 centimeters. We are asked to use 3.14 for pi.

Substitute the values into the formula.

\(c= 3.14 * 15 \ cm\)

Multiply.

\(c= 47.1 \ cm\)

This number only has numbers in the tenth place, so we don't need to round.

The circumference of the circle is 47.1 centimeters.

Answer:

2/15.99 = 0.34 euros is the right answer.

Answer: 60

30

Step-by-step explanation: that’s the first two, good luck!

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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Answer: 5/6, 7/10, 1/2, 1/15

Step-by-step explanation:

5/6=25/30, 7/10=21/30, 1/2=15/30, 1/15=2/30

You'll have three copies of the red "-x" rectangles to represent -3x

Next, you'll need five copies of the blue squares with the label "1". This represents 5 since 1*5 = 5.

Lastly, you'll need one copy of the purple rectangle that has "y" on it.

All of this forms the expression -3x+5+y

All of these figures will be above the dashed line to be in the positive region.

Answer:

10 cm

Step-by-step explanation:

From the question,

Area of a square = (Length)²

A = L²............................ Equation 1

Where A = Area of the screen, L = Length of the Screen

make L the subject of the equation

L = \(\sqrt{A}\).................... Equation 2

Given: A = 100 cm²

Substitute into equation 2

L = \(\sqrt{100}\)

L = 10 cm

Hence the length of the screen is 10 cm

The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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The value of x in ΔSTU is in the range (2, 32).

Given that ΔSTU is a triangle,

ST = 15,

US = x,

UT = 17.

We need to find the length of x in the triangle STU.

To solve this question, we need to apply the triangle inequality theorem.

According to the theorem, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Therefore, using this theorem, we get:

ST + US > UT => 15 + x > 17

=> x > 17 - 15

=> x > 2US + UT > ST

=> x + 17 > 15 => x > 15 - 17

=> x > -2UT + ST > US

=> 17 + 15 > x

=> 32 > x

In this case ST = 15, US = x, UT = 17. Let's apply the triangle inequality to the sides of the triangle STU:

ST + US > UT

15 + x > 17

Simplify the inequality:

x > 17 - 15

x > 2

Triangle STU is valid The length of US(x) must be greater than 2 to be a perfect triangle.

However, without further information, we cannot determine the exact value of x.

You can specify any value greater than 2.

Therefore, from the above conditions, we conclude that 2 < x < 32.

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

There are three answers

Step-by-step explanation:

B is the image of D

B is the image of E

C is the image of D

Answer:

B is the image of D

B is the image of E

C is the image of D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two given angles add to 180 if the 2 angles that look parallel are parallel.

That means that

17x + 14 + 4x - 2 = 180        Combine like terms

21x + 12 = 180                     Subtract 12

21x = 180 - 12                      Combine

21x = 168                             Divide by 21

x = 168 / 21

x = 8

Therefore 17x + 14 is the angle you want.

<B = 17*8 + 14 = 150.

===================

There's another way to do this.

4x - 2 + <B = 180

4*8 -2 +<B = 180

32 -2 + <B = 180

30 + <B = 180

<B = 180 - 30

<B = 150

Every rational number is of form = P/2

where q=0 & p, q are polynomial functions.

Let f(x)= P(x)/q(x),q(x)=0

where p(x) & q(x) are polynomials

Since p(x) & q(x) are polynomials we know that every polynomial function is continuous.

p(x),q(x) are continuous functions if p, q are continuous then  p/q is continuous. Thus f(x)= p(x)/q(x) is continuous except at q(x)=0.

In calculus, the ε-δ definition of a limit is an algebraically precise formulation of evaluating the limit of a function. Informally, the definition states that a limit L of a function at a point \(x_{0}\) exists if no matter how \(x_{0}\) is approached, the values returned by the function will always approach L. This definition is consistent with methods used to evaluate limits in elementary calculus, but the mathematically rigorous language associated with it appears in higher-level analysis. The ε-δ definition is also useful when trying to show the continuity of a function.

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I do not understand what do you mean

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

I'm pretty sure the answer is 48 feet.

Step-by-step explanation:

It can't be any of the negative answers since the question didn't start with a negative number, and it can't be 14 feet since he started with 15 feet, so it has to be 48 feet.

Step-by-step explanation:

I hope this answer is helpful ):

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)