What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
Ox=-6
OX=-4
O y=-6
O y=-4

In this scenario, if a computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is $470, and its value 3 years later would be $1410.

The straight-line method of depreciation is a method of calculating the decline in value of an asset over time. Using this method, an asset's value is spread evenly over its useful life.

In this scenario, if the computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is ($2350 / 5) = $470.

Three years later, the computer's value would be $2350 - ($470 x 3) = $1410. This is because the value of the computer is decreasing by $470 per year, and after three years, the total amount of depreciation would be $470 x 3 = $1410.

It's important to note that the straight-line method of depreciation is a simple method and it does not reflect the real-world scenario in which assets may have a higher value of depreciation in the initial years and less in the later years. But it's easy to calculate and use.

In conclusion, if an asset is depreciated using the straight-line method, its value decreases evenly over its useful life. It's important for businesses to understand the various methods of depreciation and choose the one that best suits their needs.

Learn more about depreciation at

https://brainly.com/question/15085226

#SPJ4

Answer:

Hamid: 4

Ken: 3

Step-by-step explanation:

Start by finding the LCM (least common multiple) of 80 and 60. To do this we can list all the multiples of 80 and 60 until we get a common multiple.

60: 60, 120, 180, 240

80: 80, 160, 240

They both have a common multiple of 240, so after 240 seconds they will meet again at the start line.

Now we need to find how many laps they'll have to run. To do this we can divide 240 by the amount of time it takes for them to run a lap.

240/60=4

240/80=3

Hamid will have ran 4 laps and Ken will have ran 3 laps

Hello there. To solve this question, we have to remember some properties about ordered pairs and equations.

Given the equation:

We want to determine the ordered pair that is solution to this equation.

First, remember what is an ordered pair:

An ordered pair is a 2 element tuple (list) that has its elements disposed as

In this case, all solutions x to this equation will be given as the following ordered pairs:

And these points lies on the line y = 2x - 4, all across the xy-plane.

Okay. Now, we have to check which of the options are correct.

For this, you take the first coordinate of the ordered pair and plug in the equation:

a) (4, 5)

Plugging x = 4, we get

This is not the correct option.

b) (-3, -7)

Plugging x = -3, we get

Not correct as well.

In the end, we find that the only correct option is:

e) (0, -4).

Since plugging x = 0 yields:

As we wanted.

Therefore the final answer is contained in the last option, (0, -4).

Find partial derivatives, evaluate them at the point, use point-normal form, simplify to get equation of the tangent plane: -8(x + 2) + (y - 2) - (z - 14) = 0 for z = 2x^2 - y^2 + 5y at (-2, 2, 14).

To find the equation of the tangent plane to the surface given by z = 2x^2 - y^2 + 5y at the point (-2, 2, 14), follow these steps: Compute the partial derivatives, . Evaluate the partial derivatives ,  Plug in the normal vector components, Simplify the equation.
1. Compute the partial derivatives of the function with respect to x and y. This will give you the normal vector to the tangent plane.
∂z/∂x = 4x
∂z/∂y = -2y + 5
2. Evaluate the partial derivatives at the given point (-2, 2, 14):
∂z/∂x(-2, 2) = 4(-2) = -8
∂z/∂y(-2, 2) = -2(2) + 5 = 1
3. Now you have the normal vector to the tangent plane: (-8, 1, -1)
4. Use the point-normal form of the equation of a plane:
(ax - a0x) + (by - b0y) + (cz - c0z) = 0
5. Plug in the normal vector components and the point coordinates:
-8(x - (-2)) + 1(y - 2) - 1(z - 14) = 0
6. Simplify the equation to get the final equation of the tangent plane:
-8(x + 2) + (y - 2) - (z - 14) = 0
The equation of the tangent plane to the surface z = 2x^2 - y^2 + 5y at the point (-2, 2, 14) is -8(x + 2) + (y - 2) - (z - 14) = 0.

Learn More About Partial Derivate's: https://brainly.com/question/31399205

#SPJ11

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

Know more about the inequality click here:

https://brainly.com/question/30231017

#SPJ11

Answer:

x = 80 degrees

Step-by-step explanation:

Let's say the angle ABC = 30 degrees and angle BAC = x degrees

angle ACB = 180 - 110

angle ACB = 70 degrees

angle BAC = 180 - angle ABC - angle ACB

x = 180 - 30 -70

x = 150 - 70

x = 80 degrees

In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.

The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
Visit here to learn more about ethical concerns:

brainly.com/question/28318353

#SPJ11

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

Learn more about maximum value  here:

brainly.com/question/23504923

#SPJ4

The red marbles are 3/10 of the total.

The blue ones are 5/10 of the total.

The green ones are 2/10 of the total.

Of these, 5/10=1/2=(1×4)/(2×4)=4/8

Therefore, five tenths is equivalent to four eighths.

Answer:

She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.

The work shown is a mistake, the answer of y=5 isn't.

A point which is a solution of the system of linear equations include the following: A. (1, 1).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x − 3y = −2      ......equation 1.

y = −3x + 4  ......equation 2.

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (1, 1).

Read more on equation here: brainly.com/question/4110837

#SPJ1

Answer:

Tony = 31   Billie = 17

Step-by-step explanation:

17 x 2 = 34

34 - 3 = 31

17(billie's age) + 14(years that Tony is older) = 31

Answer:

what the other person said

Step-by-step explanation:

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

The success rate for choosing your company out of 6 is 1/6

Therefore probability is 1/6 = 0.1667.

Learn more about Probability:

https://brainly.com/question/8449398

#SPJ4

INFORMATION:

We have the following table that shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995

We also have a linear model for the data

With the following scatter plot

And, we must solve the three questions.

STEP BY STEP EXPLANATION:

1.

To determine if the linear model fits the data well, we need to analyze the given scatter plot.

We can see that the blue points are very closed to the linear function, that means the function is a good model for the data.

2.

To estimate the retails sales in 2012, we must calculate which year is 2012 after 1995 and then replace it in the function.

So, we must subtract 1995 from 2012

Now, replacing t = 17 in the function

Then, in 2012 the retails sales were 245 billion of dollars

3.

To predict the year that corresponds to retail sales of 250 billion, we must equal the function to 250, and then solve it for t.

Finally, to find the year we must add 17 to 1995 which is the first year

Then, the year that corresponds to retail sales of 250 billion is 2012

ANSWER:

1. the function is a good model for the data.

2. 245

3. 2012

The expression for the total floor-space area which is square of the room would be total_area = side_length * side_length

The total floor-space area of the room can be calculated by multiplying the length of one side of the room by itself (since it's a square).

Assuming the length of one side of the room is stored in the variable "side_length", the expression for the total floor-space area of the room would be:

total_area = side_length * side_length

However, based on the information provided, it seems like the dimensions of the room are determined by the lengths of the smaller and larger pieces of sheetrock (stored in the variables "small" and "large"). If we assume that the room is a rectangle, with the smaller piece of sheetrock determining the length of one side and the larger piece determining the length of the other side, the expression for the total floor-space area of the room would be:

total_area = small * large

For more such questions on Square area, click on:

brainly.com/question/27307830

#SPJ4

Answer:

1 and 3

Step-by-step explanation:

Ok so you need to start with solving each answer.

1. 5.20

2. 6

3. 4.6

so actually. 1 and 3 have a value less than or equal to 5 1/4 or 5.25

Answer:

823

Method 1

Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)

197 = 1 hundred, 9 tens, 7 units

203 = 2 hundreds, 0 tens, 3 units

423 = 4 hundreds, 2 tens, 3 units

Units: 7 + 3 + 3 = 13

Tens: 9 + 2 = 11 tens = 110

Hundreds: 1 + 2 + 4 = 7 hundreds = 700

Add these together: 700 + 110 + 13 = 823

Method 2

First add 203 to 197:

Borrow the 3 from 203 and add it to 197:  197 + 3 = 200

Add the remaining 200:  200 + 200 = 400

Now add 423 to 400:  400 + 423 = 823

⇒ 203 + 197 + 423 = (203 + 197) + 423

                                = 400 + 423

                                = 823

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

To know more about Fundamental Theorem of Calculus:

https://brainly.com/question/30761130

#SPJ4

____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Step-by-step explanation:

14. e= -25

16. y=7

18. -k=500

20. w= -20

22. x=21

24. y=0

hope it helps.

Answer:

14. e=-25

16. y=7

18. k=-500

20. w=-20

22. x=21

24. y=0

Step-by-step explanation:

big brain

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Answer:

\(g(3) = 11\)

Step-by-step explanation:

Greetings!!!

The given function

\( g(x) = x {}^{2} + 2\)

What we are looking now is what will be the value when 3 is substituted in the variable x.

\(g(3) = (3) {}^{2} + 2\)

Solve the expression

\(g(3) = 9 + 2\)

Add the numbers

\(g(3) = 11\)

Thus, the value of g(3)= 11

Hope it helps!!!

Answer:Using the triangle inequality, we can conclude that the distance between towns B and C must be less than 121 km (the sum of the distances between towns A and B, and between towns A and C).

To find the exact length of the road connecting towns B and C, let's use the Pythagorean theorem.

Let x be the length of the road connecting towns B and C. Then we have:

x^2 = 61^2 + 60^2

x^2 = 3721 + 3600

x^2 = 7321

x ≈ 85.6 km

Therefore, the length of the road connecting town B and C is approximately 85.6 km.

Step-by-step explanation:

Answer: +6

Explanation: The equation x² - 36 = 0 is called a quadratic equation because he have a squared term as our highest power.

Our first step in this problem is to get the x²

term by itself by adding 36 to both sides.

That gives us x² = 36.

Next we must get the x by itself and in order to do

that we do the opposite of what is happening to x.

Since x is being squared, the opposite

of squaring is square rooting.

So to get x by itself, we square

root both sides of the equation.

On the left the square root of x² is x and on

the right, remember the following rule.

When square rooting both sides of

an equation, always use plus or minus.

So the answer to this problem would be +6.

So our solution to this equation is +6.

Answer:-2

Step-by-step explanation: Substitute the given y-value into 4x−3y=18 and solve for x

Answer:

D

Step-by-step explanation:

if you divide the money by the ounce, D is the cheapest with 0.24 per ounce

Answer:

Step-by-step explanation:

My guess is that it is not A.  And A is not the answer.

You have to try each one to see.

3.20 / 8 = .40 cents/ounce.

6.25/25 = .25 dollars per ounce

3.84/16 =  .24

The last one is the better buy.

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

\(\frac{7b}{7} = \frac{-21}{7}\)

b= -3

Answer:

b=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

7b

7

=

−21

7

b=−3