Chris and Pat go on a 30 km run. They both usually run at 10 km/h. If Chris runs at 1/2 his usual running speed, and Pat runs at 3/2 times her usual speed, how many more hours does it take Chris to complete the run than it takes Pat to complete the run?

A. 2 B.4 C.1 d.6

Answer:

y = [tex]x^2+2x+12[/tex] (x and y intercepts under "Step-by-step explanation" section)

Step-by-step explanation:

We can start by finding the vertex form and then expand it to the standard form.

The vertex form of the quadratic equation is

[tex]y=a(x-h)^2+k[/tex], where a is a constant and (h, k) is the vertex.

By plugging in 1 for a, -1 for h, and 11 for k, we have:

[tex]y=1(x-(-1))^2+11\\y=(x+1)^2+11[/tex]

Now we simply expand this vertex form to get the standard form:

[tex]y = (x+1)^2+11\\y=(x+1)(x+1)+11\\y=x^2+x+x+1+11\\y=x^2+2x+12[/tex]

We can find the x and y-intercepts using the vertex form.

To find the x-intercept, we plug in 0 for y:

[tex]0=(x+1)^2+11\\-11=(x+1)^2\\\sqrt{-11}=x+1;-\sqrt{11}=x+1\\ x_{intercepts}:(-1+\sqrt{-11}, 0); (-1-\sqrt{-11})[/tex]

The x-intercepts are non-real answers, so the quadratic equation never intersects the x-axis.

To find the y-intercept, we plug in 0 for x:

[tex]y=(0+1)^2+11\\y=1^2+11\\y_{intercept} =(0,12)[/tex]

Answer: x=5

Step-by-step explanation:

x=5 possibly i put diff numbers

Answer: The answer is a meter or nothing, It depends on the answer you want

Step-by-step explanation:

If he has a rope that is a meter long, but then he takes that meter, he still has a meter, but if you plan on throwing that meter away, then you would have nothing

Answer:3

Step-by-step explanation:

George is 17.55 cm taller than Alex. By simply subtracting the heights of the two, we get the required change between them.

Decimal subtraction is as similar to normal number subtraction. Here the subtraction starts from the decimals or the digits after the decimal point.

It is given that,

The height of George is 89.99 cm and the height of Alex is 72.44 cm.

Since 89.99 cm > 72.44 cm; George is taller than Alex.

To know how much he is taller, we just simply subtract the height of Alex from the height of George.

I.e., 89.99 cm - 72.44 cm = 17.55 cm

Therefore, George is 17.55 cm taller than Alex.

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Answer:x=-7

Step-by-step explanation:

Answer: A.

Step-by-step explanation: On the vertical number line, 2 1/5 is located below 2 3/5.

To compare the values of 2 1/5 and 2 3/5, you need to first convert them to fractions with a common denominator. For example, you can convert 2 1/5 to a fraction with a denominator of 5 by multiplying the numerator (1) and the denominator (5) by 2: 2 1/5 = (2 * 1)/(2 * 5) = 2/10 = 1/5.

Then, you can add the fractions to get a common denominator: 2 1/5 + 2 3/5 = (2 + 2) + (1/5 + 3/5) = 4 + (4/5) = 4 4/5.

Since 4 4/5 is greater than 4, it follows that 2 3/5 is greater than 2 1/5. Therefore, on the vertical number line, 2 3/5 is located above 2 1/5.

B) X union Y complement

How should a set notation function be written?

The set of all functions f: X Y is denoted by the following notation: The set of all functions f: X Y is labeled Y X for any sets X and Y. Another helpful example of standard notation is as follows: Notation: The term |X|, or occasionally #X, is used to represent the number of elements in finite sets X.

In the above diagram we can see that the shaded region occupy the x and X ∩ Y so the correct option is B

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Answer:

(y+1)³

Step-by-step explanation:

(y+1)⁵/(y+1)²

=(y+1)(y+1)(y+1)(y+1)(y+1)/(y+1)(y+1)

=(y+1)(y+1)(y+1)

=(y+1)³✓✓

The equation that can be used to find the amount of bill payments Mike makes, from the $201.58 and the balance in the account of -$57.18, after making the payments is specified in option B.

B.) 201.58 - x = -57.18

An equation in mathematics is a mathematical statement that joins two expressions, with an 'equals to' mathematics symbol.

The initial amount in Mike's account = $201.58

The money in Mike's account after paying his bills = -$57.18

The amount of Mike's bill payment = x

Therefore;

The initial amount of money in Mike's account less the amount Mike paid as bills = The amount Mike has remaining in his account (his account balance)

Plugging in the values of the variables, we get;

The initial amount = 201.58

The amount of bill payments Mike makes = x

The balance in the account = -57.18

The equation, by plugging in the values becomes:

The correct option is therefore, option B

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The equation  201.58 - x = -57.18 with option B is the best equation Mike  can used to find the amount of bill payments from his bank account of  $201.58 and that of -$57.18, after making the payments is specified in

An equation is a mathematical model stating the equality of two sides.

The given parameters are

The initial balance = $201.58

Balance after paying bills = -$57.18

Mikes payment = x

The equation, by plugging in the values becomes:

201.58 - x = -57.18

The correct option is therefore, option B

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The area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,pi]

What is a interval?

Given that:

x-axis on the interval [0,pi]

f(x) = sin x + 1

     = integral 0 - integral π (sin x) dx + integral 0 - integral π (1) dx

     = [- cos π + cos 0] + [π - 0]

     = [-(-1) + 1 ] + π

     = 2 + π

Therefore, the area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,π]

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The correlation of the data set is positive

From the question, we have the following parameters that can be used in our computation:

Line of fit for a data set: -3x+4y=-5

Write out the equation of the line

So, we have

-3x + 4y = -5

Make y the subject of the equation

So, we have the following representation

y = 3/4x - 5/4

A linear equation is represented as

y = mx + c

Where

slope = m

This means that the slope of the equation is

m = 3/4

The above number is a positive number

Hence. the correlation is positive

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The age of Mark, Taylor, & Brian's ages will be Whole numbers 36,37, and 38 respectively.

What exactly is a whole number?

Whole numbers are a collection of positive integers and zero that do not contain any fractions.

                       It is denoted by the letter "W," and its corresponding set of numbers are "0," "1, 2, 3,,","5,,"6,,"7,","8,"..."

It is given that Mark, Taylor, & Brian's ages are consecutive whole numbers, Mark is the youngest, and Brian is the oldest and the sum of their ages is 111.

Suppose the age of mark is x as a result the age of Taylor and brian will be x + 1 and x + 2 respectively.

From the given condition the sum of their ages is 111,

⇒x + x + 1 + x + 2 = 111

⇒3x + 3 = 111

⇒3x = 111 - 3

⇒3x = 108

⇒x = 108/3

⇒x = 36

The age of Mark, x =36

Age of Taylor, x+1 = 36+1 =37

Age of Brian, x+2 =36+2=38

Thus, if their age is in consecutive whole numbers. The age of Mark, Taylor, & Brian's ages will be  36,37, and 38 respectively.

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The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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Fundamental Theorem of Line Integral, also called the Gradient theorem, tells us that line integrals through gradient fields are path independent and depend only on the initial and final values. correct answer is option 4 and 5

What does the Line Integrals Fundamental Theorem teach us?

In general, this theorem, like the Fundamental Theorem of Calculus, states that if we integrate a "derivative-like function" (f′ or f), the outcome depends only on the values of the original function (f) at the endpoints.

                       It is referred to be a conservative vector field if a vector field F is the gradient of a function, F=f.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The workdone by gradient vector field is independent of path..

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Answer:

20.625

Step-by-step explanation:

a=− 3263i/24​ + 1/12 ​ ≈0.083333333−2.380111459i, b= 165/8 ​ =20.625

Hope this helps

Answer:

1.1

Step-by-step explanation:

Here is the answer. Have a good day!

Considering all the option and the question, We cannot determine anything about the angle is the right answer.

An angle is a geometric shape that is formed by two rays that share a common endpoint, called the vertex.

The vertex of an angle is the common endpoint of the two rays that form the angle. The vertex is also sometimes called the "corner" of the angle.

It is not possible to determine whether the angle of the ramp will decrease or increase without more information. The angle of the ramp is determined by the slope of the ramp, which is the change in height divided by the change in distance. If the ramp starts closer to the step, it will have a different slope, and therefore a different angle, than if it starts 5 feet away from the base of the step.

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The value of the angle x will be equal to 36°.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the minor arc is 144. The value of angle x will be calculated by the ratio of the difference between the major arc and the minor arc to the 2.

The angle x will be calculated as,

x = ( Major arc - Minor arc) / 2

x = ( 360-144-144) / 2

x = 72 / 2

x = 36

Therefore, the value of the angle x will be equal to 36°.

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The volume of a sphere is V = 4/3 x pi x r^3 .

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

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Answer:

intercepting lines

The perimeter of the figure is 4d+6c - 6

The distance around the outside of a 2D shape is known as its perimeter. Add together the lengths of all the sides to determine the perimeter.

We have been given a figure. We are asked to write an expression for the perimeter of our given figure.

We know that perimeter of a solid is sum of all of its side.

We can see that opposite side of our given figure are equal and our given figure is a rectangle.

We know that perimeter of rectangle is two times the length and width of rectangle, so the perimeter of our given figure would be:

2×(2d- 3+3c)

Use distributive property:

2 × 2d - 2 × 3 + 2 × 3 c

4d -6+6c

4d+6c-6

Therefore, the perimeter of our given figure is 4d+6c - 6

The complete question is : Write and simplify an expression for the perimeter of each figure

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The value based on the given equation is 22.5

What is an equation?

In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to given info.

u + t = 5        ------(1)

u - t  = 2        ------(2)

adding equation 1, 2  ;we get      

2u = 7

u = 7/2

using value of u in any equation,

7/2 - t = 2

t = 3.5 - 2

t = 1.5

we need to find value of

(u-t) (u²-1²)

(3.5 - 1.5) (3.5² -1²)

2*(12.25 - 1)

2*(11.25)

22.5

Hence the value of the function is 22.5

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Explanation:

Angle R = angle A = 41 since both angles involve a single arc marking.

Angle S = angle B = 74, both involve a double arc

For any triangle, the inside angles always add to 180 degrees.

R+S+T = 180

41+74+T = 180

115+T = 180

T = 180-115

T = 65

The graph of the equation Y = x² and the 5x² + 4 is attached below.

Equation:

Equation is the combination of variables, numbers and constants.

Given,

Here we have to sketch the region enclosed by the given curves for the equations, Y = x² and Y = 5x² + 4.

Here we have to take some sample value for x to find the value of equations.

And then by using the values, we have to plot the graph through this.

x = -2, -2, 0, 1, 2

Then the corresponding value of y is calculated as,

=> x = -1 => y = 1

=> x = -2 => y = 4

=> x = 0 => y = 0

=> x = 1 => y = 1

=> x = 2 => y = 4

Similarly, the value of Y for the next equation is,

=> x = -2 => y = 24

=> x = -1 => y = 9

=> x = 0 => y = 4

=> x = 1 => y = 9

=> x = 2 => y = 24

Then the graph of the given equation is drawn as.

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Answer:

72% of the trip is 169.2 miles

Step-by-step explanation:

[tex]\frac{235}{100} =\frac{y}{72}[/tex]

y · 100 = 235 · 72

100y = 16920

100y ÷ 100 = 16920 ÷ 100

y = 169.2

The adjacents angles are ∠ RTL and ∠ ETL, The obtuse vertical angles are ∠ RTL and ∠ STE, the two supplementary angles are ∠ NTE and

∠ NTR and angles supplementary to ∠ RTS is ∠ RTL

The two rays intersecting at a common point makes an angle.

Given is a figure,

Adjacent Angels =

The angles having one arm in common are called adjacent angles.

Here, adjacents angles are ∠ RTL and ∠ ETL

Vertical angles =

A pair of angles that have the same vertex and are on opposite sides of two intersecting rays makes Vertical angles

Here, vertical angles are ∠ RTL and ∠ STE

Supplementary angles =

When the sum of two angles is 180°, then they are supplementary angles.

Here, supplementary angles are ∠ NTE and ∠ NTR

We see that, the angle supplement to ∠ RTS is ∠ RTL

Hence, the correct answers are, adjacents angles = ∠ RTL and ∠ ETL, The obtuse vertical angles = ∠ RTL and ∠ STE, the two supplementary angles = ∠ NTE and ∠ NTR and angles supplementary to ∠ RTS is ∠ RTL

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Answer:

Step-by-step explanation:

You want to know the nature of the sequences ...

To determine if a sequence is linear, you look at the differences between terms. If they are all the same, then the sequence is linear.

Here, the differences are ...

Neither sequence is linear

A sequence that is exponential will have adjacent terms with the same ratio.

Here, the ratios are ...

The first sequence is not exponential. The second sequence is.

The sequences can be characterized as ...

__

Additional comment

You may have noticed that the differences of the first sequence have a common difference of 2. This constant 2nd difference means the sequence can be described by a 2nd-degree (quadratic) polynomial. In fact, each term is the square of its term number.

Answer:

True

Step-by-step explanation:

|-7| (absolute value) removes the negative sign, and 7 is greater than -7 so the statement is true.

Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

How does this occur?

from a company real estate broker's office. The competitor's sales were equal to the average number of sales 8 months before jured began gathering data and again 2 and 6 months after he began gathering data. The relative minimum number of sales was lower than the relative minimum number of sales of Jared's office.

Use the sliders for a, b, c, and d to create a graph that could model the competitor's number of sales.

Graph is given below in Image.

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