A laptop used to cost $999
was marked down to $850.
What was the percent of
markdown?

Answer:

Since congruent means that they have the same diameter , i'd say that the answer is 1

Step-by-step explanation:

There would be the alcohol content from 2 drinks remaining in the body after 2 hours.

It is commonly estimated that the body can metabolize about one standard drink per hour.

Multiply the rate of metabolism (1 drink per hour) by the number of hours (2 hours).

1 drink/hour × 2 hours = 2 drinks

Subtract the number of drinks metabolized (2 drinks) from the initial number of drinks consumed (4 drinks).

The alcohol content remaining in the body:

4 drinks - 2 drinks = 2 drinks

Therefore, after 2 hours, there would be the alcohol content from 2 drinks remaining in the body.

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ6

Answer:

$12,100

Step-by-step explanation:

1100 * $11 = $12,100

Answer:

it would be 100

Step-by-step explanation:

you just have to divide 1100 by 11

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

For the given triangle when G is the incenter of ABC the value of DG = 12, FC = 35, BG = 13.41, BF = 6.

The intersection of all three of the triangle's interior angle bisectors is where a triangle's incenter is located. It may be thought of as the intersection of the triangle's internal angle bisectors. Due to the junction point of the central axis being the centre of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.

The centre of a triangle's inscribed circle, which is the biggest circle that can fit within the triangle, is known as the incenter.

Given that, G is the incenter of the triangle.

Thus, EG = GF = DG.

Now, the value of DG is determined using the Pythagoras Theorem:

(37)² = DG² + (35)²

1369 = DG² + 1225

DG = 12

Now, FC = 35.

For, BG we have:

BG² = 6² + 12²

BG² = 36 + 144

BG = 13.41

BF = 6

Hence, for the given triangle when G is the incenter of ABC the value of DG = 12, FC = 35, BG = 13.41, BF = 6.

Learn more about incenter here:

https://brainly.com/question/12886536

#SPJ1

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

we have the equation

the equation in slope-intercept form is

y=mx+b

so

Isolate the variable y in the given equation

step 1

subtract x both sides

step 2

Multiply by -3 both sides

Answer:

we don't see an image?

Step-by-step explanation:

Answer:

Step-by-step explanation:

CPCT is corresponding parts of Congruent Triangles. If two triangles are congruent, Their corresponding sides are equal. Their corresponding angles are equal.

your welcome!!

The joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To solve this problem, we can use a probability tree to visualize the information given:

We can see that the joint probability of a customer choosing Movie A and not enjoying it is the product of the probabilities along the "Did not enjoy" branch of the Movie A path:

```

P(Choose Movie A and Did Not Enjoy) = P(Movie A) x P(Did not enjoy | Movie A)

                                   = 0.58 x 0.39

                                   = 0.2262

```

Therefore, the joint probability that a randomly selected customer chose Movie A and did not enjoy it is 0.2262 or approximately 0.23.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ4

Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Answer:

18 miles per gallon

Step-by-step explanation:

We get this by taking 2,250 (the distance traveled) divided by 125 (the amount of gas used)

There are 12,376 different groups of six passengers that can be selected from the plane flight of 17 passengers.

To calculate the number of different groups of six passengers that can be selected from a plane flight with 17 passengers, we can use the concept of combinations.

The number of ways to choose a subset of k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k!(n-k)!)

In this case, we need to select 6 passengers from a group of 17. Thus, we can calculate the number of different groups using the combination formula:

C(17, 6) = 17! / (6!(17-6)!)

        = 17! / (6!11!)

        = (17 * 16 * 15 * 14 * 13 * 12) / (6 * 5 * 4 * 3 * 2 * 1)

        = 12376

Therefore, there are 12,376 different groups of six passengers that can be selected from the plane flight of 17 passengers.

Learn more about formula

brainly.com/question/2074825

#SPJ11

Answer:

4 sigfig is 164.4

3 sigfig is 164.

1 sigfig is 200

hope that answers your question

comment for more explanation

Answer:

y = 6x-13

Step-by-step explanation:

Given: y+1=6(x-2)

Distribute 6: y +1 = 6x -12

Isolate y: y = 6x -13 (subtracted 1 from both sides)

This is now in the form y = mx +b

Hope this helps!

The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

To learn more about Velocity, Visit

https://brainly.com/question/80295

#SPJ4

If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

Learn more about Amortization expense here:https://brainly.com/question/25530648

#SPJ1

The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

Answer:

rectangle 32

triangle 16

Step-by-step explanation:

The area of the rectangle is

A = bh

A = 8*4 = 32

The area of the triangle is 1/2 of the area of the rectangle

A =1/2 bh = 1/2 *32 = 16

Answer:

triangle = 16

rectangle = 32

It's the last option

Step-by-step explanation:

A for rectangle = b * h

= 8 * 4

= 32

A for triangle = 1/2 * b * h

= 1/2 * 32

= 16

Hope this helps!

The improper integral diverges .

Given,

Integral : ∫dx/\(\sqrt[3]{x}\)

Limit varies from -∞ to -8 .

Now,

Apply integral test for series ,

∫f(x) dx = \(\lim_{b \to \ -infty} \int\limits^a_b f{x} \, dx\)

Solving further,

∫\(x^{-1/3}\) dx =  \(\lim_{b \to \ -infty} \int\limits^a_b x^{-1/3} \, dx\)

∫\(x^{-1/3}\) dx =  \(\lim_{b \to \ -infty} (x^{2/3} /2/3 )\)

Substitute the limits in the limit function,

∫\(x^{-1/3}\) dx = 2/3(4 - ∞)

∫\(x^{-1/3}\) dx = ∞

Thus limit does not exist and the improper integral diverges .

Know more about improper integrals,

https://brainly.com/question/31585559

#SPJ4

Correct integral :

Integral : ∫dx/\(\sqrt[3]{x}\)

Answer:

add then simplify

Step-by-step explanation:

Answer:

R = 2524 quarts/s

Step-by-step explanation:

Water flows through a pipe at a rate of 8600 cubic meters per hour.

We know that,

1 m³ = 1056.69 quarts

1 hour = 3600 s

Rate of flow of water = 8600 cubic meters per hour

\(R=8600\ \dfrac{m^3}{h}\\\\=8600\times \dfrac{1056.69\ \text{quarts}}{3600\ s}\\\\=2524.311\ \text{quarts/s}\)

or

R = 2524 quarts/s

So, the rate of flow of water is 2524 quarts/s.

False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.

A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.

Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.

Learn more about  ratio:

brainly.com/question/13419413

#SPJ11

The tangent vector to the path c(t) = (3t sin(t), 8t) is given by T(t) = (3 sin(t) + 3t cos(t), 8).

To compute the tangent vector to the given path c(t) = (3t sin(t), 8t), we need to find the derivative of c(t) with respect to t. Let's differentiate each component separately:

The first component of c(t) is 3t sin(t). To find its derivative, we will use the product rule. Let's denote this component as x(t) = 3t sin(t). The derivative of x(t) with respect to t is given by:

x'(t) = 3 sin(t) + 3t cos(t).

The second component of c(t) is 8t. To find its derivative, we differentiate it with respect to t:

y'(t) = 8.

Therefore, the tangent vector to the path c(t) is given by T(t) = (x'(t), y'(t)) = (3 sin(t) + 3t cos(t), 8).

So, the tangent vector at any point on the path c(t) is T(t) = (3 sin(t) + 3t cos(t), 8).

It's important to note that the tangent vector gives us the direction of the path at any given point. The magnitude of the tangent vector represents the speed or rate of change along the path.

In this case, the x-component of the tangent vector, 3 sin(t) + 3t cos(t), represents the rate of change of the x-coordinate of the path with respect to t. The y-component, 8, is a constant, indicating that the y-coordinate of the path remains constant as t varies.

Learn more about vector at: brainly.com/question/24256726

#SPJ11

Answer:

Hello,

R(2)=-2

Step-by-step explanation:

\(F(x)=q_1(x)*x+0 \ , \ F(0)=0 \\F(x)=q_2(x)*(x+1)+1\ , \ F(-1)=1\\\\F(x)=q_3*x*(x+1)+(a*x+b)\\\\if\ x=0\ then\ F(0)=0=a*0+b \Longrightarrow\ b=0\\\\if\ x=-1\ then\ F(-1)=1=a*(-1)+b \Longrightarrow\ a=-1\\\\\\R(x)=ax+b=-x\\R(2)=-2\\\)

The slope of the tangent line at t = -1 is 1/6 and the point on the curve where the tangent line is vertical is (-1, 4/3).

a) The slope of the tangent line at t = -1 can be found by taking the derivative of both x(t) and y(t) with respect to t and then evaluating at t = -1. Thus,

x'(t) = -12 and y'(t) = -2.

Therefore, the slope of the tangent line at t = -1 is given by

m = y'(t)/x'(t) = -2/-12 = 1/6.

b) To find the points where the tangent is vertical or horizontal, we need to solve for when the derivative of y with respect to x is equal to zero or undefined, respectively.

dy/dx = dy/dt / dx/dt = (-2) / (-12) = 1/6, which is never equal to zero.

Thus, there are no points where the tangent line is horizontal.

For the vertical tangent line, we need to solve for when dx/dt = 0.

dx/dt = -12 = 0 when t = 1/3.

Therefore, the point on the curve where the tangent line is vertical is

(x, y) = (3 - 12(1/3), 2 - 2(1/3)) = (-1, 4/3).

For more questions like Slope click the link below:

https://brainly.com/question/3605446

#SPJ11

There are 3 mangoes left behind after making 39 trays of 9 mangoes each

To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.

Number of mangoes per tray = 9

Number of trays = 354 mangoes / 9 mangoes per tray

Number of trays = 39 trays

So, 39 trays can be made from 354 mangoes.

To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.

Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays

Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)

Number of mangoes left behind = 354 mangoes - 351 mangoes

Number of mangoes left behind = 3 mangoes

Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each

Learn more about Mangoes here

https://brainly.com/question/29211275

#SPJ11

Answer:

72 cards. Aaron is the difference between Linda ad Paul, therefore it is 72. There is a different way to solve it but it's way more complicated

A rhombus is a quadrilateral that has four sides of equal length. A rhombus also has two diagonals, which are perpendicular bisectors of each other. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

To find the perimeter of a rhombus using diagonals, follow these steps:

Step 1: Obtain the length of each diagonal of the rhombus.

Step 2: Use the length of the diagonals to find the length of each side.

Step 3: Add the length of each side to find the perimeter of the rhombus.

The perimeter is the sum of all the sides of a figure. To get the perimeter of a rhombus using diagonals, the length of each diagonal has to be found first. The formula for finding the length of each side of a rhombus is:  where the diagonal is the measure of the diagonal of the rhombus.

To find the perimeter of a rhombus, add the length of all the sides of the rhombus. This formula is given as follows: Perimeter = 4 × a, where a is the length of each side of the rhombus.

Therefore, the perimeter of a rhombus using diagonals can be found by following the above procedure and then using the formula to add all the sides of the rhombus.

Learn more about Perimeter from the given link

https://brainly.com/question/7486523

#SPJ11