HELP!! ANSWER FIND THE DOMAIN AND RANGE

Answer:

\(\displaystyle{y-1=5(x+6)}\)

Step-by-step explanation:

A point-slope form is written in the equation of  \(\displaystyle{y-y_1=m(x-x_1)}\). Where \(\displaystyle{(x_1,y_1)}\) is a coordinate point and \(\displaystyle{m}\) is slope.

The definition of parallel is to both lines have same slope. The given line equation has slope of 5. Therefore, we can write the equation in point-slope form as:

\(\displaystyle{y-y_1=5(x-x_1)}\)

Next, we are also given the point p(-6,1). Substitute \(\displaystyle{x_1}\) = -6 and \(\displaystyle{y_1}\) = 1 in:

\(\displaystyle{y-1=5[x-(-6)]}\\\\\displaystyle{y-1=5(x+6)}\)

Hence, the line equation that’s parallel to y = 5x - 4 and passes through a point (-6,1) is y - 1 = 5(x + 6)

Answer:

y - 1 = 5 ( x + 6 )

Step-by-step explanation:

       Here,

          m ⇒ slope

    y = 5x - 4 ← equation of the old line

         Now it is clear to us that,

         m ⇒ slope of the line ⇒ 5

         c  ⇒ y-intercept ⇒ -4

                 That is, m = 5

                   y - y₁ = m ( x - x₁ ).

        m = slope

           ( -6 , 1 ) ⇔ ( x₁ , y₁ )

        Let us solve this now

         y - y₁ = m ( x - x₁ )

         y - 1 = 5 ( x - ( -6) )

         y - 1 = 5 ( x + 6 )

                y - 1 = 5 ( x + 6 )

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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the total cost of the clarinet, including shipping and handling, is $600.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Jordan bought a clarinet priced at $517. Shipping and handling cost an additional 16% of the price.

The cost of shipping and handling is 16% of the price of the clarinet, which is:

0.16 * $517 = $82.72

the total cost of the clarinet including shipping and handling, we need to add the cost of the clarinet and the cost of shipping and handling:

Total cost = $517 + $82.72 = $599.72

Rounding this to the nearest dollar, we get:

Total cost = $600

Therefore, the total cost of the clarinet, including shipping and handling, is $600.

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Answer:

451

Step-by-step explanation:

Answer: 28 ‎‎‎

‎

Step-by-step explanation:

\(\qangle Q =28^\circ\)

Step-by-step explanation:

Given :

Triangle FGH is congruent to triangle QRS.

Solution :

Two triangles are congruent when the three sides and the three angles of one triangle have the same measurements as three sides and three angles of another triangle.

According to given diagram,

\(2x + 10 = 3x+1\)

\(x=9\)

Hence,

\(\angle Q = 3x+1=3(9)+1\)

\(\angle Q=28^\circ\)

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The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:

b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)

This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).

Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).

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The answer is: II. to the right. Mean, median and mode are the three most common measures of central tendency used in data analysis.

The mean is the average of the dataset, calculated by adding up all the values and dividing by the total number of observations. The median is the midpoint value in the dataset, separating the top 50% from the bottom 50%. The mode is the most frequent value in the dataset. In a right-skewed distribution, the tail of the distribution is longer on the right-hand side than on the left.

The mean is always pulled in the direction of the skewness, i.e. towards the longer tail. Therefore, in a right-skewed distribution, the mean is greater than the median and mode and is located to the right of them. So, the correct option is II. to the right.

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The values of the terms are a₂ = 15, a₃ = 30 and a₄ = 45

The definition of the function is given as

a₁= 0

aₙ = aₙ₋₁ + 15

The above definitions imply that we simply add 15 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₂ = 0 + 15

a₂ = 15

Also, we have

a₃ = 15 + 15

a₃ = 30

Lastly, we have

a₄ = 30 + 15

Evaluate the equation

a₄ = 45

Hence, the value of a₄ is 45

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Answer:

x=2

Step-by-step explanation:

5x-7=3

Add 7 to each side

5x - 7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-7=3

Move the 7 from the left side. So you'll add it to both sides

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

Making your formula

5x=10

Then divide 5x on both sides

Since 5x divided by itself is one it's just x

10 divided by 5 is 2

So the answer is x = 2

Answer:

3×1=3 _3×7=9

Step-by-step explanation:

hdjsdvUquwjsidhejeudxiwjekebebej

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

The y-value of each ordered pair based on the given x- value are:

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the standard form of the equation of a straight line is given by this linear function;

y = mx + c

Where:

At points (x, y) = (6, ?), the y-value is given by:

y = 7x - 13

y = 7(6) - 13

y = 42 - 13

y = 29.

At points (x, y) = (-3, ?), the y-value is given by:

y = 7x - 13

y = 7(-3) - 13

y = -21 - 13

y = -34.

At points (x, y) = (1, ?), the y-value is given by:

y = 7x - 13

y = 7(1) - 13

y = 7 - 13

y = -6.

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Tobacco use is linked to several diseases, including asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema.

Tobacco use is a major public health concern due to its association with various diseases. By exploring the diseases linked to tobacco use, we can raise awareness about the harmful effects of tobacco and promote healthier choices.

Asthma: Tobacco smoke contains numerous harmful chemicals that can trigger or worsen asthma symptoms.

Esophageal Cancer: Tobacco use, especially smoking and smokeless tobacco, significantly increases the risk of developing esophageal cancer.

Mouth Cancer: Smoking and smokeless tobacco use are major risk factors for oral cancers, including cancers of the mouth, tongue, lips, and throat.

Liver Cancer: Although primarily associated with alcohol consumption, tobacco use also contributes to the development of liver cancer.

Emphysema: Emphysema is a progressive lung disease characterized by the destruction of lung tissue and impaired breathing.

The association between tobacco use and diseases such as asthma, esophageal cancer, mouth cancer, liver cancer, and emphysema highlights the urgent need for individuals to quit or avoid tobacco use.

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Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

180 degree rotation around the origin

Step-by-step explanation:

Both points are on exactly opposite sides of the graph

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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The total interest paid on the 25-year mortgage is given as $134,439.

If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.

a. What is the total interest paid on the 25-year mortgage? $134,439.

Thus, it can be seen that the total interest paid on the 25-year mortgage is given as $134,439.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.

An increasing exponential function is given by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

Then:

\(A(t) = A(0)(1 + r)^t\)

\(A(t) = 16(1 + 0.02)^t\)

\(A(t) = 16(1.02)^t\)

It will be 30 million after t years, for which A(t) = 30, hence:

\(A(t) = 16(1.02)^t\)

\(30 = 16(1.02)^t\)

\((1.02)^t = \frac{30}{16}\)

\((1.02)^t = 1.875\)

\(\log{(1.02)^t} = \log{1.875}\)

\(t\log{1.02} = \log{1.875}\)

\(t = \frac{\log{1.875}}{\log{1.02}}\)

\(t = 31.7\)

It will take 31.7 years for the state's population to be of at least 30 million people.

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The area of the hub cap is \(493.765sq.cm\) when the circumference of the hub cap of a tire is \(78.81cm\).

What is the circumference?

The boundary of a specific area or geometric figure, esp of a circle. the length of a closed geometric curve, esp of a circle. The circumference of a circle is equal to the diameter multiplied by \(\pi\).

Here given that,

The circumference of the hub cap of a tire is \(78.81\) centimeters.

As we know, the area of circle is :-

Area of circle \(=\pi r^2\)

Circumference of circle = \(2\pi r\)

So,

Circumference \(=2\pi r\)

\(78.81=2(3.14)r\\\\78.81=6.28r\\\\r=\frac{78.81}{6.28}\\\\r=12.54\)

Therefore, the Area aof circle = \(\pi r^2\)

\(=(3.14)(12.54)^2\\\\=(3.14)(157.25)\\\\=493.765\)sq.cm.

Hence, the area of the hub cap is \(493.765sq.cm.\)

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Answer:

Step-by-step explanation:

36 hope it helps

Answer:

48

Step-by-step explanation:

Answer:

180-94=86

Step-by-step explanation:

The purpose of using slang is mostly for social purposes such as:

Slangs is often used in the Sharing and keeping  of a constantly altering vocabulary aids.

It is used to show group solidarity and it is often used to include or exclude members.

The common sports slangs are:

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

thanks

Step-by-step explanation:

really appreciate it

Answer:

Thank youu!

Step-by-step explanation:

hope you have a great day too!

Answer:

4g

Step-by-step explanation:

just subtract it

Answer:

4g

Step-by-step explanation:

the other don't make sence

Answer:

Te diagonal of a kite will form a parallelogram.

explanation:

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

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Answer:  The player runs 7 meters forward and then runs 7 meters in the opposite direction.

Step-by-step explanation: