m=p*Vwe have

p=m/V

Solve for m

That means-----> isolate the variable m

Multiply both sides by V

p*V=(m/V)*V

Simplify

p*V=m

rewrite

m=p*V

Answer:

y = - 2x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

2x + y = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

Answer: [tex]f^{-1}(x)=-\frac{1}{9}(x+10)[/tex]

Step-by-step explanation:

[tex]f(x)=-9x-10 \implies x=-9f^{-1}(x)-10\\\\x+10=-9f^{-1}(x)\\\\f^{-1}(x)=-\frac{1}{9}(x+10)[/tex]

Pam is a nurse that earns $93 in 6 hrs .The equation that can represents how much she get paid per hour can be computed below

Given:

Amount Marty spent per day = $3

Number of days = 14

Remaining amount = $68

Since the amount left depends on the number

Answer:

2

Step-by-step explanation:

1.9541 lets only worry about 1.95 because it rounds to this rounding up because its five will be 2

m∠F = 140º

1) Since that trapezoid is a quadrilateral, then we can affirm that the Sum of their interior angles is:

Note that "n" refers to the number of sides:

Notice also that angle H is a right angle since this is not an Isosceles Trapezoid

So we can write out the following

9x +14x +4x + 90 = 360º

27x = 360 -90

27x = 270

x =10

Alternatively, angles between parallel lines are supplementary

2) To find out the measure of angle ∠F We'll need to plug x=10 into that expression:

m∠F = 14x

m∠F = 140º

Considering the situation described, it is found that:

a) The numeric values of the piecewise function are as follows:

b) The new piece-wise function is:

c) The new piece-wise function is:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the rule is one for times up to 40 hours, and another for times greater than 40 hours, hence the numeric values are given as follows:

For item b, the new reference is of 38 hours, hence the function is:

For item c, the new hourly wage is of 12 hours, hence the rule is:

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Answer:

SAS Congruence Rule

A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle.

Answer: SAS (side side angle postulate.)

Step-by-step explanation:

can be used to prove triangles congruent.

sides and the corresponding angle of the other, then the triangles are congruent.

Two triangles are similar if the ratio of their corresponding side equal'

Triangle

Because

Corresponding sides are

Therefore,

Triangle

Equation which is used to determine the maximum safe driving speed from the given equation |x – 55| = 4.2 is equal to x -55 =4.2.

As given in the question,

Given equation :

|x – 55| = 4.2

To determine the maximum and minimum speed in miles per hour from the given equation we have,

x-55 = 4.2 or x-55 =-4.2

Add 55 both the side of the equation,

x-55 +55 =4.2+55  or x-55+55 = -4.2 +55

x =59.2 or x = 50.8

Maximum speed is 59.2 determine by equation x-55 = 4.2

Minimum speed is 50.8 determine by equation x-55 = -4.2

Therefore, equation which is used to determine the maximum safe driving speed from the given equation |x – 55| = 4.2 is equal to

x -55 =4.2.

The complete question is:

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

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The equations that represent proportional relationships are:

A. 2x/12 = 3x/18

C. 4/6 = 10/15

E. 5/5 = 11/11

To determine if an equation represents a proportional relationship, ensure each side of the equation gives the same value when simplified. If they do not have the same value, then the equation does not represent a proportional relationship.

A. 2x/12 = x/6

3x/18 = x/6

Therefore, 2x/12 = 3x/18 represents a proportional relationship.

B. 3/6 = 1/2

6/3 = 2

Therefore, 3/6 = 6/3 does not represent a proportional relationship.

C. 4/6 = 2/3

10/15 = 2/3

Therefore, 4/6 = 10/15 represents a proportional relationship.

D. 4x/18 = 2x/9

x/18 = x/18

Therefore, 4x/18 = x/18 does not represent a proportional relationship.

E. 5/5 = 1

11/11 = 1

Therefore, 5/5 = 11/11 represents a proportional relationship.

F. 8/15 = 8/15

4/30 = 2/15

Therefore, 8/15/2/15 does not represent a proportional relationship.

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Proved the identity sin(x) + sin(3x) = 4sin(x) cos²(x)

Given,

sin(x) + sin(3x) = 4 sin(x) cos²(x)

We have to prove the above given identity:

So,

sin(x) + sin(3x)

sin(x) + sin(2x + x)

By using the identity sin (A + B) we get,

sin(x) + sin (2x) cos(x) + cos (2x) sin(x)

Now use the identities:

sin 2x and cos 2x

We get,

sin(x) + 2sin(x) cos(x) cos(x) + (2cos²(x) - 1) sin(x)

Then,

sin(x) + 2sin(x) cos²(x) + 2sin(x) cos²(x) - sin(x)

We get,

4 sin(x) cos²(x)

Hence proved the identity sin(x) + sin(3x) = 4sin(x) cos²(x)

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EXPLANATION

Let's see the facts:

Temperature at sunrise = 48 °F

Rate = 6°F/h

The equation is given by the following expression:

Let's call "x" to the number of hours elapsed

y = 48 + 6x

The graph is given by the following representation:

Answer:

x = –1/3 and y = 11/3

or can be written as (–1/3, 11/3)

Solve the system of equations:

1x + 2y = 7

y = –2x + 3

Substitute y = –2x + 3 for y in the first equation:

1x + 2y = 7

1x + 2(–2x + 3) = 7

Substract 6 from both sides:

–3x + 6 = 7

–3x + 6 – 6 = 7 – 6

–3x = 1

Divide:

–3x/–3 = 1/–3

x = –1/3

Substitute –1/3 for x in the second equation:

y = –2x + 3

y = –2(–1/3) + 3

y = 11/3

Solution:

x = –1/3 and y = 11/3

or can be written as (–1/3, 11/3)

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so:

Answer:

(c) $252,500

(1) The graph is attached with the answer below.

(2)The equation of the line is y = x + 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The points are ( 3, 0 ) and ( 0, 3). The slope of the line will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - 0 ) ( 0 - 3 )

Slope = 1

Calculate the y-intercept,

y = mx + c

3 = 0 + c

c = 3

The equation of the line will be:-

y = x + 3

Therefore, the graph is attached with the answer below the equation of the line is y = x + 3.

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Explanation

we have a secant and a tangent

To solve the question, we will apply the intersecting secant and tangent theorem

So, for the question

we have

Therefore, the value of PB is 12

Let's begin by identifying key information given to us:

A is a 3 x 2 matrix

B is a 2 x 3 matrix

AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix

Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist

Answer:

3/4 or 0.75

Step-by-step explanation:

The negative sign means that temperature decreases of fell.

Deteremine the change in temperature for 5 hours.

So temperatute fell 4 degrees. Option C is correct.

The original equation is:

5 x^2 + (10 x^2 + 10) = 3 x^2 - 5

The first step the person did was:

15 x^2 + 10 = 3 x^2 - 5

so in this first step the person used the associative property of addition by associating 5 x^2 with 10 x^2 and combining them to give 15 x^2.

Please check if there is an option that states such among your options.

Answer: f(7) = 52

Step-by-step explanation:

x = 7, so you would substitute x for 7

f(7) = 6(7) + 10

f(7) = 42 + 10

f(7) = 52

Hope this helps!

Answer:

2[tex]\sqrt{23}[/tex]

Step-by-step explanation:

The distance between the points (-4, -7) and (-8, -13) is 2√13 units as per the concept of distance between the two points.

To determine the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is as follows:

[tex]Distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)[/tex]

Given the two points (-4, -7) and (-8, -13), we can assign the coordinates as follows:

x1 = -4, y1 = -7 (coordinates of the first point)

x2 = -8, y2 = -13 (coordinates of the second point)

Now, we substitute these values into the distance formula:

[tex]Distance = \sqrt{(-8 - (-4))^2 + (-13 - (-7))^2)}\\\\= \sqrt{((-8 + 4)^2 + (-13 + 7)^2}\\= \sqrt{((-4)^2 + (-6)^2)}[/tex]

= √(16 + 36)

= √52

= 2√13

Therefore, the distance between the points (-4, -7) and (-8, -13) is 2√13 units.

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3 × 90 thus equals 280 degrees.

The figure moves onto the following quadrant of the graph with each 90 degree rotation. In order to shift Figure I to the location of Figure J, you must move the three figure quadrants in a clockwise direction. 3 × 90 thus equals 280 degrees. Only one transformation is needed.

Which transformation corresponds to turning a figure 90 degrees counterclockwise?

The coordinate transformation (x, y) (y, x) is equivalent to a rotation of the origin 90 degrees counterclockwise. The coordinate transformation (x, y) (x, y) is comparable to a 180 degree counterclockwise rotation of the origin.

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, making y negative.

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The property demonstrated by:

a(b+c)=(a.b)+(a.c)

Is the Distributive property

Here we have the next expression:

a*(b + c) = (a*b) + (a*c)

So we have the product between a and the sum of b and c, is equal to the sum between the products of a and b, and a and c, so we "distributed" the product.

This property is called the "Distributive property".

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Answer:

Step-by-step explanation:

yes it does

The student that has the greatest percent error is Ebony.

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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The area of a pool from the given situation is 816 ft².

Given that, the dimensions of plot is 50 ft and 40 ft.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Here, area of a plot = Length × Width

= 50 × 40

= 2000 ft²

Area of a pool = Area of a plot - Area of a grass

= 2000 - 1184

= 816 ft²

Therefore, the area of a pool from the given situation is 816 ft².

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Answer:4 sodas

Step-by-step explanation:

1.75 x 2 = 3.5

10- 3.5 = 6.5

6.5 Divided by 1.50 =  4.33333333

(Round that to 4 and he will be left with cents)

The equation that passes through (-12, 15 with a slope of -1 in point slope form is y - 15 = - 1(x + 12)

Linear equation can be represented in different form such as point slope form, slope intercept form  and standard form.

Therefore, let's represent the line that passes through (-12, 15) with a slope of -1 in point slope form.

Hence,

y - y₁ = m(x - x₁)

where

Therefore,

m = slope = -1

using (-12, 15)

Hence,

y - 15 = - 1(x - (-12))

Therefore,

y - 15 = - 1(x + 12)

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