Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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m=3*-1^2-(-1)-7

m=-9-(-1)-7

m=8-7

m=1

Answer:

NT and MT

Step-by-step explanation:

Sorry I'm late lol.

The two segments form a right angle where they intersect, which is a common indication of perpendicular lines.

Answer:

b+.17

Step-by-step explanation:

Answer:

y=x +10

Step-by-step explanation:

answer is in photo above

Answer:

y = 1x + 10

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - 6 / -6 - (-4)

-2 / -2

= 1

y = 1x + b

4 = 1(-6) + b

4 = -6 + b

10 = b

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

Answer:

8

Step-by-step explanation:

do 8÷1.6 that gives you 5

so then to get your bottom length do 5×5=25

so then do 1.6×5 and that gives you 8

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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A speculative statement about the relationship between two or more variables is known as a b - hypothesis.

Variables:

A variable is a measurable trait or characteristic that is subject to change under different conditions.

Given,

Here we need to find what is meant by a speculative statement about the relationship between two or more variables.

The definition of Hypothesis is,

It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.

So, the option (b) - Hypothesis is correct.

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Mrs. Green can serve a total of six different combinations of two vegetables from the given options.

To find out, we can use the combination formula: \(nCr = n! / (r! * (n-r)!)\)

where n is the total number of items to choose from, and r is the number of items to choose. In this case, n = 4 (carrots, peas, okra, and green beans) and r = 2 (the number of vegetables to be served).

Therefore, the formula becomes: 4C2 = 4! / (2! * (4-2)!)

= (4 * 3 * 2 * 1) / [(2 * 1) * (2 * 1)]

= 6

Mrs. Green can serve six different sets of two vegetables with dinner. These are: carrots and peas, carrots and okra, carrots and green beans, peas and okra, peas and green beans, and okra and green beans.

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Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

\(7c+3l=9.8p\)

5 liters - 9 cups = 6 pints

\(5l+9c=6p\)

Cups and Liters

\(7c+3l=9.8p\)

\(p= 7c+3l/9.8\) (put in equation 2)

\(5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c\)

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

\(7c+3l=9.8p\\3l=9.8p-7c\)

\(l=9.8p-7c/3\)(put in equation 2)

\(5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c\)

1 Pint = 2 Cups.

Step 3:

Pints and Liters

\(7c=9.8p-3l\)

\(c=9.8p-3l/7\)(put in equation 2)

\(5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p\)

​1 Liter = 2.1 Pints.

The scatter diagram for the data with college GPA as the independent variable is illustrated as follows.

In this case, we have a dataset that includes the GPA and salary of graduates ten years after graduation. We can use GPA as the independent variable (or x-axis) and salary as the dependent variable (or y-axis). We can then plot each data point on the graph, where the x-coordinate represents the GPA and the y-coordinate represents the salary.

To create the scatter plot, we first need to organize the data into pairs of GPA and salary values. For example, the first pair is (2.22, 72,000), where 2.22 is the GPA and 72,000 is the salary. We can then plot this point on the graph by locating 2.22 on the x-axis and 72,000 on the y-axis.

We repeat this process for each data point, and then connect the points with a line or a curve. The resulting scatter plot shows us the overall pattern of the relationship between GPA and salary. If there is a positive relationship between the two variables, we would expect to see the points cluster around a line that slopes upwards from left to right.

Overall, the scatter plot provides a useful visual tool for exploring the relationship between college GPA and salary. While it suggests that there is a positive relationship between the two variables, it also reminds us that there are many other factors that contribute to earnings.

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Complete Question:

Do students with higher college grade point averages (GPs) earn more than those graduates with lower GPAs?

Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary (S)

72,000 2.22

48,000 2.29

72,000 2.57

64,000 2.59

86,000 2.77

98,000 3.12

133,000 3.35

130,000 2.85

157,000 3.66

162,000 3.68

Develop a scatter diagram for these data with college GPA as the independent variable

Answer:

D. √180 and 3√20

Step-by-step explanation:

3√20

= √9√20

= √(9 * 20)

= √180

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer:

\(A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\\)

        = $2960.49

option  1

Answer:

the 4th answer : a = 3 and b = sqrt(3)

Step-by-step explanation:

remember that i = sqrt(-1).

so, when you "take out" -1 of -3, you get 3.

sqrt(-3) = sqrt(3×-1) = sqrt(3)×sqrt(-1) = sqrt(3)i

Answer:

I'm sorry, but I cannot provide an answer without more information. The statement "assuming that all direct materials are placed in process at the end of production" is not enough to determine the total cost of the 18,000 units completed during the period. Additional information such as the cost of the direct materials, labor, overhead, and any other costs incurred during production would be necessary to calculate the total cost.

Answer:

Your answer is indeed Saturday.

Step-by-step explanation:

The day before, (Wednesday) the day before, (Tuesday) yesterday, (Monday).

And then after the day before my Birthday, (sunday and then Saturday.)

Answer:

The answer is 4r² – 9

Denise answer is correct.

Step-by-step explanation:

One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method

Using the FOIL method (Used for multiplying binomials)

F stands for first

O stands for outer

I stands for inner

L stands for last

In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.

So, for the equation  (2r – 3)(2r + 3)

First : (2r)(2r) = 4r²

Outer : (2r)(+3) = 6r

Inner : (–3)(2r) =  – 6r

Last :  (–3)(+3) =  – 9

Adding the results we get

4r² + 6r – 6r – 9 (+6r and – 6r cancels out)

= 4r² – 9

∴ (2r – 3)(2r + 3) = 4r² – 9

Hence, Denise answer is correct

The area of the figure which consists of two congruent triangles and a rectangle is calculated as: 52 cm².

In the diagram given above, we see a composite figure consisting of two triangles that are congruent, and a rectangle, therefore:

Area of the figure = area of the two triangles + area of rectangle.

The Area of the two triangles:

base = 8 cm²

height = 4.5 cm²

Area of the two triangles = 2(1/2 * base * height) = base * height

Area = 8 * 4.5 = 36 cm²

Area of rectangle = length * width = 4 * 4

= 16 cm²

Total area = 36 + 16 = 52 cm²

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Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

Answer:

The y intercept is added to the new parent function.

Step-by-step explanation:

The parent function changed because the y intercept (SLOPE) was added into the new parent function. In order to prove that the change took place with the y intercept being added to the function, you can use any value from 2 and up.

Completion of substitution for X:

Original parent function: Plug in 2 for x

(2)^3 = 8

Completion of substitution for X with NEW parent function: plug in 2 for x

(2)^3 + 2 = 10

Answer:

57709

Step-by-step explanation:

Answer:

32 minutes

Step-by-step explanation:

80% = .80

40 * .80 = 32

Answer:

\((a+b)(a^2-ab+b^2)=(a^3+b^3)\)

Step-by-step explanation:

The statement: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

What is 3D to 2D projection?

A three-dimensional (3D) object is displayed on a two-dimensional (2D) surface using a 3D projection, also known as a graphic projection. In order to project a complex object for viewing capability on a simpler plane, these projections rely on visual perspective and aspect analysis.

The fundamental method is: u = x / z; v = y / z; if you're converting from world-space (x, y, z) coordinates to screen-space (u, v) coordinates. Before applying the projection matrix, transform (x, y, z) by the view matrix if the camera is not positioned at the origin.

Hence, the statement transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

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