The table shows the distance that Rachel jogged last weekend. How much farther did Rachel jog on Sunday than on Saturday?

Answer:

Part A:

c = 4 + 1.50h

c = 1 + 3h

Part B:

2 hours

$7

Step-by-step explanation:

Part A:

Number of hours = h

Cost = c

Cost for Ice Dream:

c = 4 + 1.50h

Cost for Skating Paradise:

c = 1 + 3h

Part B:

Set the equation equal to each other and solve for h:

4 + 1.50h = 1 + 3h

Collect like terms

4 - 1 = -1.50h + 3h

3 = 1.50h

Divide both sides by 1.50

3/1.5 = h

2 = h

h = 2

The cost for both locations would be equivalent at 2 hours

✔️The cost is:

4 + 1.50h = 1 + 3h

4 + 1.50(2) = 1 + 3(2)

4 + 3 = 1 + 6

7 = 7

The cost is $7

The complete table:

c                       1       2       3

28 - c³ + 6       33    26      7.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic expression is 28 - c³ + 6.

Let A = 28 - c³ + 6.

When c = 1,

then A = 28 - 1³ + 6 = 28 - 1 + 6 = 33

When c = 2,

then A = 28 - 2³ + 6 = 28 - 8 + 6 = 26

When c = 3,

then A = 28 - 3³ + 6 = 28 - 27 + 6 = 7.

Therefore, all the required values are given above.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ1

Answer:

Step-by-step explanation:

PX is 15 which is the radius

Find the circumference of the circle and subtract the length of the minor arc

Circumference of circle = 2 * pi * r = 2 * pi * 15 = 30 pi

length of arc = angle/360 * 2 * pi * r = 23/360 * 2 * pi * 15 = 1.92 pi

subtraction will give 30 pi - 1.92 pi = 28.08 pi

28.08 * 22/7 = 88.25 which is approximately 88

The required explanation of probability distribution that has a mean of 0 and a standard deviation of 1 is describe below.

Probability distributions help to show our reality, empowering us to get evaluations of the likelihood that a specific occasion might happen, or gauge the inconstancy of event. They are a typical method for depicting, and potentially foresee, the likelihood of an occasion

The mean of the z-scores is dependably 0. The standard deviation of the z-scores is dependably 1. The chart of the z-score dissemination generally has a similar shape as the first conveyance of test values. The amount of the squared z-scores is dependably equivalent to the quantity of z-score values.

Thus, it is dependable.

To know more about probability distribution visit:

brainly.com/question/14210034

#SPJ1

Correct question:

A normal probability distribution can have any value of the mean or must have a standard deviation of 1 and a mean of 0?

Answer:

I do not know the full answer, But I do know this;

Maximum: 62

Minimum: 32

Step-by-step explanation:

Answer:

\(n = 5\frac{10}{13}\)

Step-by-step explanation:

Given

\(Call = 6\frac{1}{2}\) cups

\(Recipe = 37\frac{1}{2}\) ounce

Required

Number of ounces per cup (n)

To do this, we simply divide the Recipe by the call

So, we have:

\(n = \frac{Recipe}{Call}\)

\(n = 37\frac{1}{2} \div 6\frac{1}{2}\)

Express as improper fraction

\(n = \frac{75}{2} \div \frac{13}{2}\)

Rewrite as:

\(n = \frac{75}{2} * \frac{2}{13}\)

\(n = \frac{75}{13}\)

\(n = 5\frac{10}{13}\)

Answer:

1,000 meters

Step-by-step explanation:

Answer:

2 hrs

Step-by-step explanation:

d / r = time

40 mi  / 20 m/hr = 2 hrs

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

<95141404393>

Answer

2

Step-by-step explanation:

Answer:

257890 is the function of the equation

Step-by-step explanation:

mark me BRAINLIEST

Answer:

Step-by-step explanation:

Answer:

Use the distributive property

Step-by-step explanation:

bc you have to follow PEMDAS

Answer:

-7

Step-by-step explanation:

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The marked angle can be named in two different ways as: ∠HFG and ∠GFH.

To name an angle, the letter representing the vertex would always be at the middle.

Given the angle marked in the image below, where F is the vertex, we can name the marked angle in two different ways with F at the center as:

∠HFG and ∠GFH

Thus, the two different ways to name the marked angle are:

∠HFG and ∠GFH.

Learn more about angles on:

https://brainly.com/question/25770607

#SPJ1

Answer:

C

Step-by-step explanation:

\(SA = 2(lw) + 2(lh) + 2(wh)\)

Answer:

291

Step-by-step explanation:

2*2*2=8*2=16

16+(11*5*5)=291

Answer:

291cm^3

Step-by-step explanation:

11×5×5=275cm^3

2×2×2=8cm^3

8cm^3 + 8cm^3= 16cm^3

275+16=291cm^3

Answer: 0.3464 (correct upto 4 decimal places )

Step-by-step explanation:

\(\sqrt{3/25}\)= \(\sqrt{3} /\sqrt{25\\}\)     (as the square root of 25 is 5)

=1.73205/5

=0.3464

Answer:

5 4/9

Step-by-step explanation:

Answer:

Exact Form:

49 /9

Decimal Form:

5. 4   repeating

Mixed Number Form:

5  4 /9

Step-by-step explanation:

The population of a city at the beginning of a study is 330,000

Let the first term, y = 330000

If there is an increase of 2.7% yearly, the population for the following year (2nd year) will be

The population the following year is 338910

Since there is an increase of 2.7% every year,

The common ratio, r, is

Hence, the exponential relationship between y and t is

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

Answer:

hello which grade question i

The statements that are true are:

Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.

Clayton could negate both the x and y values in the points to find the points of the image.

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures.

Options A, B, D, E, and F.

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Clayton could use the relationship (x, y) → (y, x) to find the points of the image.

This is the y = x reflection rule.

This is true.

Clayton could negate both the x and y values in the points to find the points of the image.

Reflection of (x, y) along the x-axis and y-axis consecutively will give us

(-x, -y).

This is true.

C’ will remain in the same location as C because it is on the line of reflection.

This is not true.

C’ will move because all points move in a reflection.

This is true.

The image and the pre-image will be congruent triangles.

This is true.

The image and pre-image will not have the same orientation because reflections flip figures.

This is true.

Thus,

All statements are true except the statement:

C’ will remain in the same location as C because it is on the line of reflection.

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ1

Answer:

1) V = 12 π  ㏑ 3

2) \(\mathbf{V = \dfrac{328 \pi}{9}}\)

Step-by-step explanation:

Given that:

the graphs of the equations about each given line is:

\(y = \dfrac{6}{x^2}, y =0 , x=1 , x=3\)

Using Shell method to determine the required volume,

where;

shell radius = x;   &

height of the shell = \(\dfrac{6}{x^2}\)

∴

Volume V = \(\int ^b_{x-1} \ 2 \pi ( x) ( \dfrac{6}{x^2}) \ dx\)

\(V = \int ^3_{x-1} \ 2 \pi ( x) ( \dfrac{6}{x^2}) \ dx\)

\(V = 12 \pi \int ^3_{x-1} \dfrac{1}{x} \ dx\)

\(V = 12 \pi ( In \ x ) ^3_{x-1}\)

V = 12 π ( ㏑ 3 - ㏑ 1)

V = 12 π ( ㏑ 3 - 0)

V = 12 π  ㏑ 3

2) Find the line y=6

Using the disk method here;

where,

Inner radius \(r(x) = 6 - \dfrac{6}{x^2}\)

outer radius R(x) = 6

Thus, the volume of the solid is as follows:

\(V = \int ^3_{x-1} \begin {bmatrix} \pi (6)^2 - \pi ( 6 - \dfrac{6}{x^2})^2 \end {bmatrix} \ dx\)

\(V = \pi (6)^2 \int ^3_{x-1} \begin {bmatrix} 1 - \pi ( 1 - \dfrac{1}{x^2})^2 \end {bmatrix} \ dx\)

\(V = 36 \pi \int ^3_{x-1} \begin {bmatrix} 1 - ( 1 + \dfrac{1}{x^4}- \dfrac{2}{x^2}) \end {bmatrix} \ dx\)

\(V = 36 \pi \int ^3_{x-1} \begin {bmatrix} - \dfrac{1}{x^4}+ \dfrac{2}{x^2} \end {bmatrix} \ dx\)

\(V = 36 \pi \int ^3_{x-1} \begin {bmatrix} {-x^{-4}}+ 2x^{-2} \end {bmatrix} \ dx\)

Recall that:

\(\int x^n dx = \dfrac{x^n +1}{n+1}\)

Then:

\(V = 36 \pi ( -\dfrac{x^{-3}}{-3}+ \dfrac{2x^{-1}}{-1})^3_{x-1}\)

\(V = 36 \pi ( \dfrac{1}{3x^3}- \dfrac{2}{x})^3_{x-1}\)

\(V = 36 \pi \begin {bmatrix} ( \dfrac{1}{3(3)^3}- \dfrac{2}{3}) - ( \dfrac{1}{3(1)^3}- \dfrac{2}{1}) \end {bmatrix}\)

\(V = 36 \pi (\dfrac{82}{81})\)

\(\mathbf{V = \dfrac{328 \pi}{9}}\)

The graph of equation for 1 and 2 is also attached in the file below.

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

For similar question on exponent.

https://brainly.com/question/28843064

#SPJ8

Answer:

Step-by-step explanation:

14/15 +-(3/5) =0.33333333333

2.34-5.612=3.272

Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ1