If Jason makes $12 an hour on his new job, how many hours must he work to make the money to afford to buy some shoes that cost $160 at
the local store?

Answer:

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Step-by-step explanation:

The answer is provided above.

Distance =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Hope this helps.

Answer:

-4x + 11

Step-by-step explanation:

Distribute and then Simplify

Answer:

-9.8 > -11.3, and -9.8 is located to the right of -11.3.

Step-by-step explanation:

On a number line, the larger value of numbers always increase towards the right side, becoming more positive.

Same, the numbers which have smaller values decrease towards the left.

The larger the negative number, the smaller the value it has.

The experimental probability of the rolling a 6 is 13%.

Probability is the likelihood of a desired event happening. Experimental probability is a probability that relies mainly on a series of experiments.

From the table:

The total number of times all the numbers appear is:

total number of times = 7 + 4 + 4 +  5 + 6 + 4 = 30

The number six (6) occurred 4 times.

Experimental probability = (occurrence of 6 / total number of times)

Experimental probability = 4/30 * 100

Experimental probability = 13%

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: 3,7,11,15

Step-by-step explanation: Not the right explanation and answer.

Span(u,v) is the set of all linear combinations of u and v, including scalar multiples of both. It does not include the origin.

Span(u,v) is the set of all linear combinations of u and v, meaning any combination of u and v multiplied by scalars. This includes scalar multiples of both u and v, but does not include the origin. To calculate Span(u,v), first write u and v as vectors u = (u1,u2,...,un) and v = (v1,v2,...,vn). Then, any linear combination of u and v can be written as c1u + c2v, where c1 and c2 are scalars, and the set of all such linear combinations is Span(u,v). For example, if u = (1,2) and v = (3,4), then Span(u,v) = {(1,2), (3,4), (4,6), (5,8), (7,10), ...}. In other words, Span(u,v) is the set of all scalar multiples of u and all scalar multiples of v.

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Reason:

The green and yellow planes intersect to form a line. Think of it like a spine of a book.

This line intersects the blue plane at exactly one point. Which means this system has exactly one solution. The solution point is found in all three planes at the same time. It satisfies all three equations simultaneously.

Answer:

To find the angle of elevation, we can use the inverse tangent function (arctan). The angle of elevation is the angle between the ground and the line of sight from the ground to the top of the ladder.

Let's calculate it:

Angle of elevation = arctan(opposite/adjacent)

Angle of elevation = arctan(15 feet / 18 feet)

Using a calculator or table of trigonometric functions, we can find the arctan of (15/18) to be approximately 41.19 degrees.

Rounded to the nearest degree, the angle of elevation from the ground to the top of the ladder is 41 degrees.

Step-by-step explanation:

Answer:

-11/8

Step-by-steexplanation:

The sum of the internal angles of the polygons are

a) The sum is A = 540°

b) The sum is A = 360°

c) The sum is A = 1800°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the internal angles of a polygon be represented as A

Now , the value of A is

The sum of exterior angle of n polygon is = 360°

Now ,

a)

The number of sides of the polygon = 5 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 5 in the equation , we get

nθ = 180° ( 5 - 2 )

nθ = 180° x 3

nθ = 540°

b)

The number of sides of the polygon = 4 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 4 in the equation , we get

nθ = 180° ( 4 - 2 )

nθ = 180° x 2

nθ = 360°

c)

The number of sides of the polygon = 12 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 12 in the equation , we get

nθ = 180° ( 12 - 2 )

nθ = 180° x 10

nθ = 1800°

Hence , the sum of the internal angles of the polygon is solved

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Answer:

c) 118°

Step-by-step explanation:

PN is the diameter of the given circle.

\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)

Now, by inscribed angle theorem:

\( m\widehat {MN} = 2\times m\angle MPN\\

\therefore m\widehat {MN} = 2\times 31°\\

\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)

Now,

\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\

\therefore m(\widehat{MP}) + 62° =180°\\

\therefore m(\widehat{MP}) =180°-62°\\

\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)

Answer:

\(\frac{3}{5}\)

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly

so \(\frac{12}{20}\) ÷ \(\frac{4}{4}\)=\(\frac{3}{5}\) ( Divide Across)

Answer:

A = 56 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

h is the perpendicular height between bases and b₁, b₂ the bases

here h = 7 , b₁ = 10 , b₂ = 6 , then

A = \(\frac{1}{2}\) × 7 × (10 + 6) = 3.5 × 16 = 56 in²

Answer:

B and D

Step-by-step explanation:

they both make srnse to me

The required percentage of individuals is 66.07%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The required data from the given table is as follows,

The total number of individuals is 112.

The number of individuals who ride Ferris wheel but not roller coaster is 74.

As per the question the percentage can be found as below,

Required percent = (The required number ÷ Total number) × 100

                              = (74 ÷ 112) × 100%

                               = 66.07%

Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is  66.07%.

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The equation of the line that is perpendicular to the line that passes through the points (-1, -4) and (4, 2): D. 5x + 6y = 27.

Perpendicular lines have slopes with a product of -1, or are negative reciprocals.

First find the slope of the line that passes through (-1, -4) and (4, 2):

Slope (m) = change in y / change in x = (2 -(-4)) / (4 -(-1))

m = 6/5

The negative reciprocal of 6/5 is -5/6. This means that the perpendicular line is, m = -5/6.

To write the equation of the line that is perpendicular to the given line, substitute m = -5/6 and (a, b) = (-3, 7) into y - b = m(x - a):

y - 7 = -5/6(x - (-3))

y - 7 = -5/6(x + 3)

6(y - 7) = -5(x + 3)

6y - 42 = -5x - 15

6y = -5x - 15 + 42

6y = -5x + 27

5x + 6y = 27

The answer is: D. 5x + 6y = 27.

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Answer:

8/√2 + 2√50​

8√2/2 + 2√50

4√2 + 10√2

14√2

Answer:

h(-2) = -1

Step-by-step explanation:

h(x)=-2x-5

Let x= -2

h(-2)=-2*-2-5

      = 4 -5

h(-2) = -1

Answer:

2/5

Step-by-step explanation:

Answer:

2.25 is your answer

Step-by-step explanation:

ANSWER:

a) -37

b) 9

Given:

f(x)=-x-8 and g(x) = x² + 8x − 15

a) f(1) + g(–3)

f(1) = 1 - 8 = -7

g(-3) = -3² + 8(-3) - 15 = 9 - 24 - 15 = -30

f(1) + g(–3) = -7 + (-30)

= -7 - 30

-37

b) g(−9) − f(–7):

g(-9) = -9² + 8(-9) - 15 = 81 - 72 - 15 = -6

f(-7) = -7 - 8 = -15

Thus,

g(−9) − f(–7) = -6 - (-15)

= -6 + 15

= 9

​

Step-by-step explanation: 20/5 is 20 divided by 5 which is 4.

20/5=4

4x5=20

5x4=20

So the answer is 4.

Answer:

So a sketch of 20/5 well, this is an improper fraction.

Step-by-step explanation:

So this will simplify down to 4.

Answer:

Domain: A, \([2, \infty)\)

Range: \((-\infty, \infty)\)

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The volume of a cube is given by the following formula:

Where V is the volume and s is the side length.

Given the volume, to find the side length find the cubic root of the volume:

The side length of the cube is 8.1 yd.

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Hence , the value of the length of the AB is seven.

It is given that B is between A and C which means that A , B , C are collinear points and can be represented as

     AB + BC = AB

      x + 4 + 2x - 2 = 4x - 1

          3x + 2 = 4x - 1

               3 = x

AB = x + 4

     = 3 + 4 = 7

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Answer:

Vertical angles are congruent so x=145°

Answer:

x= 145° ( Corresponding angles)

Answer:

\(x =\dfrac{45 \sqrt{6}}{ 2}\)

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

\(\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}\)

In order to estimate the point along the shore, x meters from B, the runner should  stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

=\(\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0\)

\(-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0\)

\(\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}\)

\(\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}\)

\(\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}\)

\(\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}\)

squaring both sides; we get

\(\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}\)

\(\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}\)

By cross multiplying; we get

\(49x^2 = 25(54^2+x^2)\)

\(49x^2 = 25 \times 54^2+ 25x^2\)

\(49x^2-25x^2 = 25 \times 54^2\)

\(24x^2 = 25 \times 54^2\)

\(x^2 = \dfrac{25 \times 54^2}{24}\)

\(x =\sqrt{ \dfrac{25 \times 54^2}{24}}\)

\(x =\dfrac{5 \times 54}{\sqrt{24}}\)

\(x =\dfrac{270}{\sqrt{4 \times 6}}\)

\(x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}\)

\(x =\dfrac{45 \sqrt{6}}{ 2}\)

Answer:

-8.3,2.0,8 1/10,8.2 is the answers for the question

Step-by-step explanation:

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