Matthew and his friends are shoveling snow. They charged $15.00 for each sidewalk they shovel. In 2 hours, they shoveled 8 sidewalks.
What is their unit rate of shoveling sidewalks?

How much money could they earn from shoveling for five hours?

A straight line can be drawn through all the points, and the line passes through the point (0, 0). The correct option A is correct

Given in the question:

A Graph of paired points that form a proportional relationship.

To find the which statement describes a graph of paired points that form a proportional relationship.

Now, According to the question:

A graph with a proportional relationship is represented as:

y = kx  and

(x, y) = (0,0) is a paired point on the graph.

This implies that options (b) and (c) are not true

Hence, A straight line can be drawn through all the points, and the line passes through the point (0, 0). The correct option A is correct .

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Answer:

c

Step-by-step explanation:

A Roth 401(k) plan takes money after tax has been removed from gross income, and has a contribution limit, but withdrawal is tax free.

Answer:

its c

Step-by-step explanation:

Answer:

7.75 is the the correct answer

Answer:

Step-by-step explanation:

13 = 2*6 + 1         (m = 6)

27 = 2(13) + 1

121 = 2(60) + 1

Use the chain rule to compute the second derivative:

\(f(x)=\ln(\sin(2x))\)

The first derivative is

\(f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}\)

\(f'(x)=2\cot(2x)\)

Then the second derivative is

\(f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'\)

\(f''(x)=-4\csc^2(2x)\)

Then plug in π/4 for x :

\(f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4\)

Answer:

1 = 130° , 2 =50° , 3 = 85°, 4=45°

Step-by-step explanation:

1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}

2 = 180 - 1 { angles on a straight line equals 180}

= 180 -130 = 50°

4 = 180 - 135 = 45° { angles on a straight line equals 180}

3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}

3 = 135-50 = 85°

Note : sum of opposite interior angles equals external exterior angle, let's prove it:

If we look at the triangle at the bottom left, we have :

85, 45 and r { let's denote r as the missing angle}

So 85 + 45 + r = 180° { sum of angles of a triangle}

By simple arithmetic

r = 180 - ( 85+45) = 180 - 130 = 50°

but r + 4 = 180° { sum of angles in a straight line equals 180°}

4 = 180 - 50 = 130°

So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}

Answer:

0.19444444444

Step-by-step explanation:

Answer:

7/36

Step-by-step explanation:

(7/9)/4

7/36

Answer:

a). radius if each quarter circle = 3.5 cm

b). Perimeter of the shaded part

= 61.98 cm

Step-by-step explanation:

Let's call the length of the the removed portion x= radius

The ratio of the length of the rectangle to its breadth is 12:5.

Length = 17 + 2x

Breadth = 3+2x

(17+2x)/(3+2x)= 12/5

5(17+2x) = 12(3+2x)

85 + 10x = 36 +24x

85-36 = 24x-10x

49 = 14x

49/14= x

7/2 = x

3.5 = x

Length of the radius if each quarter circle = 3.5 cm

The length is now equal to

17 + 2x = 17 + 2(3.5)

= 17 + 7

= 24

The breadth is now equal to

3 +2x = 3+ 2(3.5)

= 3+7

= 10

Perimeter if the whole shape

= 2(length+ breadth)

= 2(24+10)

= 2(34)

= 68

Arc of the quarter circle

= (2πr)/4

= (2*3.14*3.5)/4

= 21.98/4

= 5.495

Perimeter of the shaded part= perimeter of the whole shape +arc of the 4 quarter circle - 8x

Perimeter of the shaded part

= 68+4(5.495) - 8(3.5)

= 68+21.98-28

= 61.98 cm

Answer:

$1.99/19lb = $.10/lb

Step-by-step explanation:

Divide the total cost by the number of pounds

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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Answer: 24 inches

Step-by-step explanation:

First, remember that 1 ft is equal to 12 in

Then, if 1 ft = 12 in

1 = 12in/1ft

this means that we can write a constant:

C = 12in/1 in

and C = 1, then we can write the width 2ft as:

2ft = 2ft*C = 2ft*12in/1ft = 24in

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer: B. (1, 8)

Step-by-step explanation:

Hope this helps! :)

Answer:

\(\huge\boxed{\sf \{-6, -2\}}\)

Step-by-step explanation:

x² + 8x + 12 = 0

Using mid-term break formula.

x² + 6x + 2x + 12 = 0

x(x + 6) + 2(x + 6) = 0

(x + 6)(x + 2) = 0

By zero's method:

x + 6 = 0     OR   x + 2 = 0

So,

x = -6         OR     x = -2

\(\rule[225]{225}{2}\)

line QS parallel to RT are parallel and

QR parallel to ST

Parallel lines are lines in a two-dimensional plane that never intersect, no matter how far they are extended. They have the same slope and will remain equidistant from each other at every point. In other words, they maintain a constant distance apart along their entire length.

Parallel lines have the following key characteristics:

1. They have the same slope, which means they have the same steepness or incline.

2. They never intersect, so they do not share any common points.

3. The distance between them remains the same at any point along their length.

4. They can be in any orientation, such as horizontal, vertical, or at an angle to each other.

So, from figure we can see that line QS parallel to RT are parallel and

QR parallel to ST

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Answer:

$ 5.5

Step-by-step explanation:

$33 for 6 sandwiches.

For 1 sandwiche = ?

Now,

= 33 ÷ 6

= $5.5

Thus, the unit rate is $5.5

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

According to given question if the revenue is $1,200 then 24 lamps will be sold.

Revenue is the total income generated by the sale of goods or services related to the company's primary operations. Revenue, also known as gross sales, is also termed as the "top line" because it sits at the top of the income statement.

According to the question

cost function is C(x)=30x+400

where 'x' is the number of lamps produced

As given Each lamp is sold for $50

so ,total revenue from sales of lamps will be R(x) = 50x

given total revenue is R(x) = 1200

Substituting R(x) in the total revenue

 50x =1200

∴  x = 1200÷50

    x = 24

So if the revenue is $1,200 then 24 lamps will be sold

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Comparing the three in their simplest form we have the smallest ratio as 3 to 4.

A mathematical phrase that compares two values is called a ratio. It is written as the product of the division of two different quantities. As in 2:1 or 2/1, ratios are frequently expressed as a fraction or with a colon.

Mathematicians employ ratios in many different contexts, such as arithmetic, algebra, and geometry. They are used to compare amounts, identify equivalent values, and resolve proportional and rate-of-change issues.

Convert the ratios in their simplest form:

3 to 4 can be simplified by dividing both terms by their greatest common factor, which is 1. Therefore, 3 to 4 is already in its simplest form.

10 to 12 can be simplified by dividing both terms by their greatest common factor, which is 2. So, 10 to 12 simplifies to 5 to 6.

2 to 1 is already in its simplest form.

Thus, comparing the three we have the smallest ratio as 3 to 4.

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

Bryan had 400$ in his bank account before he withdraw

Step-by-step explanation:

60$ ---- 15%(set what you have)

x$ ------100%(set what you need)

(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )

x=400

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer: $34

Hope this helps +

Answer: 156

Step-by-step explanation:

13x2=26

26x6=156

The required volume of the box is given as 936 cubic centimeters.

Given that, A box of Tyler's favorite snack, Cheesy Snaps, is 13 centimeters tall and 6 centimeters wide. It has twice as long as it is wide.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
height  = 2 × width
height = 2 × 6 = 12
The volume of the box = length × width  × height
                             = 13 × 6 × 12 = 936
                       

Thus, the required volume of the box is given as 936 cubic centimeters.

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