In ΔJKL, \text{m}\angle J = (8x-7)^{\circ}m∠J=(8x−7)

, \text{m}\angle K = (x+7)^{\circ}m∠K=(x+7)

, and \text{m}\angle L = (2x+15)^{\circ}m∠L=(2x+15)

. What is the value of x?x?

In JKL, \text{m}\angle J = (8x-7)^{\circ}mJ=(8x7) , \text{m}\angle K = (x+7)^{\circ}mK=(x+7) , And \text{m}\angle

Answers

Answer 1

Answer:

x=15

Step-by-step explanation:

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In JKL, \text{m}\angle J = (8x-7)^{\circ}mJ=(8x7) , \text{m}\angle K = (x+7)^{\circ}mK=(x+7) , And \text{m}\angle

Related Questions

Find the unit rate for each, then tell which is the least expensive brand.

Bugsy-B: $9.99 for 64 ounces, How many dollars per ounce?
Tazi-D: $2.25 for 16 ounces, how many dollars per ounce?

Answers

Answer: Tazi-D

Bugsy-B: 0.16 per ounce

Tazi-D: 0.14 per ounce

Step-by-step explanation:

divide the $ by the ounce for both.

Roy, Sydney, Mila, Taniya invested money on a project. Roy invested twice as Sydney. Mila invested twice as Roy. Taniya invested half as Mila. If the total profit of the project is $27,000. What percentage of profit Mila should receive?

Answers

Mila should receive 44.44% of the profit.

What is equations?

An equation is a statement that asserts the equality of two expressions, typically with one or more variables. Equations are used to represent relationships between different quantities, such as the relationship between the length and width of a rectangle or the relationship between the time and distance traveled by an object.

What is profit?

Profit is the financial gain that is earned by a business or an individual after all expenses and costs have been subtracted from revenue or income. It is the difference between the amount earned from sales or services and the costs incurred to produce or provide those goods or services.

In the given question,

Let's begin by determining the amount of money each person invested in the project.

Let Sydney's investment be x.

Roy's investment is twice Sydney's, so Roy invested 2x.

Mila's investment is twice Roy's, so Mila invested 2(2x) = 4x.

Taniya's investment is half of Mila's, so Taniya invested 0.5(4x) = 2x.

The total amount invested is x + 2x + 4x + 2x = 9x.

Now, we need to find the percentage of profit Mila should receive. Since the profit is shared in proportion to the amount invested, Mila should receive a fraction of the profit equal to her investment divided by the total investment.

Mila's share = (Mila's investment) / (Total investment) x (Total profit)

Mila's share = (4x / 9x) x 27000

Mila's share = 12000

So Mila should receive $12,000 of the profit. To find the percentage of profit Mila should receive, we can divide her share by the total profit and multiply by 100:

Percentage of profit Mila should receive = (Mila's share / Total profit) x 100%

Percentage of profit Mila should receive = (12,000 / 27,000) x 100%

Percentage of profit Mila should receive = 44.44%

Therefore, Mila should receive 44.44% of the profit.

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Arthur can paint a wall in 45 minutes alone. Cheyenne can paint a wall in 1 hour alone. One
room has 4 walls. How many minutes will it take them to paint 3 rooms together?

Answers

The time needed to paint 3 rooms together is given as follows:

308.4 minutes.

How to obtain the time needed?

The time needed is obtained applying the proportions in the context of the problem.

First we use the together rate, which is the sum of each separate rate, for the time needed to paint a single wall, hence:

1/x = 1/45 + 1/60

1/x = 7/180

7x = 180

x = 180/7

x = 25.7 minutes per wall.

The number of walls in 3 rooms is given as follows:

3 x 4 = 12 walls.

Thus the time needed to paint the 3 rooms is given as follows:

25.7 x 12 = 308.4 minutes.

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The statement say a contractor contracted to supply water to three Altein ring road has decided to investigate the financial impact that the monthly installments, salaries and the price of fuel had to his business per month. The contractor will use one of his water tankers to conduct an investigation. The contractor was supplying water to the Altien village 5 km ring road construction site where the road had to be paved using the paving bricks. The paving of the road has started in January 2022 and ran for 10 months.


Questions

1.1 write down the loan term of the truck in years
1.2 determine the monthly repayments that were made towards the water tanker including the insurance cover amount
1.3 the contractor had already made half of the monthly installments towards the truck in June 2022. Determine the total amount of money that was owed to the finance excluding the insurance in June 2022
1.4 give an explanation on the significance of including an insurance cover when a contractor purchases the water tanker

Answers

Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

What is an unitary method?

The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.

Here,

1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.

1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.

M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)

5 years + 60 months Equals n

r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)

P = $100,000

=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)

≈> $1,870.24

As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.

1.3

(Total Amount Borrowed - Amount Paid) / 2

=>  ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.

Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

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At a coffee shop, the first 100 customers'
orders were as follows.
Hot
Cold
Small Medium Large
5
48
22
8
12
5
Find the probability a customer ordered a hot
drink, given that they ordered a small.
P(B|A) =
P(AnB)
P(A)
Round to the nearest hundredth.
P(hot | small) = [?]
Enter

Answers

The probability that a customer ordered a hot drink, given that they ordered a small, is approximately 0.045.

The Bayes theorem is what?

A mathematical technique called the Bayes theorem enables us to revise our views or probability regarding an occurrence in light of fresh data or evidence. It has the name of the reverend Thomas Bayes, a statistician and philosopher active in the 18th century. According to the Bayes theorem, the likelihood of an event A given that an event B has already happened is equal to the likelihood of an event B given that an event A has already occurred, multiplied by the prior likelihood of an event A, divided by the previous likelihood of an event B.

The Baye's Theorem is given as:

P(B|A) = P(A|B) × P(B) / P(A)

Here,

P(A) is the probability that a customer ordered a small drink = 0.22.

P(B) is the probability that a customer ordered a hot drink, regardless of whether it was small or medium or large = 0.05.

P(A|B) is the probability that a customer ordered a small drink, given that they ordered a hot drink = 0.2.

Substitute the value we have:

P(B|A) = P(A|B) × P(B) / P(A) = (0.2 × 0.05) / 0.22 ≈ 0.045

Therefore, the probability that a customer ordered a hot drink, given that they ordered a small, is approximately 0.045.

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Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
0 , x<0
f(x) = ((x^2)/4) , 0 <= x <= 2
1 , 2<= x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) P(X %u2264 1)
(b) P(0.5 %u2264 X %u2264 1)
(c) P(X > 1.5)(d) The median checkout duration [solve 0.5 = F(mew)](e) Use F'(x) to obtain the density function f(x)
(f) Calculate E(X)
(g) Calculate V(X) and %u03C3x
(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

Answers

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. For [tex]0 ≤ x ≤ 2, F(1) = (1^3/12) = 0.0833.So, P(X ≤ 1) = 0.0833.[/tex] Hence, the correct option is (a) P(X ≤ 1).

Given that X denotes the amount of time a book on two-hour reserve is actually checked out, and the cdf is the following:

[tex]cdf: 0 , x<0f(x) = ((x^2)/4) , 0 <= x <= 21 , 2<= x[/tex]

To use the cdf to obtain the following.P(X ≤ 1)

So, the probability distribution function is the derivative of the cumulative distribution function.

∴ f(x) = d/dx(F(x))

Also, from the cdf, we know that:

[tex]f(x) = 0 when x < 0.f(x) = ((x^2)/4) when 0 ≤ x ≤ 2.[/tex]

f(x) = 1 when x ≥ 2.

Using the above conditions, we have to calculate the following:

(a) P(X ≤ 1)

Here, P(X ≤ 1) = F(1).

When[tex]0 ≤ x ≤ 2, F(x) = ∫[0,x] f(t)dt=∫[0,x] (t^2/4)dt=[t^3/12]0x=(x^3/12)[/tex]

Thus, for[tex]0 ≤ x ≤ 2, F(x) = (x^3/12).[/tex]

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The Picture and Sound electronics store has hired Trevor to work in the warehouse. He uses a pulley with a hand crank to lift heavy boxes. There is a proportional relationship between the number of times Trevor turns the crank to lift a box, x, and the height the box has been lifted (in feet), y. He turns the crank 5 times to lift a box 3 feet. Write the equation for the relationship between x and y.

y =

Answers

The relationship between the number of times Trevor turns the crank, x, and the height the box has been lifted, y, is a linear equation y = (3/5)x.

What is a linear equation?

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a variable raised to the first power (i.e., the variable is not squared or cubed). The general form of a linear equation with one variable, x, is:

ax + b = 0

Now,

We are given that there is a proportional relationship between the number of times Trevor turns the crank, x, and the height the box has been lifted, y. Let k = constant of proportionality.

Then, we can write the equation as:

y = kx

We also know that Trevor turns the crank 5 times to lift a box 3 feet.

Now

3 = k(5)

Solving for k, we get:

k = 3/5

Substituting this value of k in the equation, we get:

y = (3/5)x

Therefore, the equation for the relationship between the number of times Trevor turns the crank, x, and the height the box has been lifted, y, is y = (3/5)x.

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Jaya spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7300 feet. Jaya initially measures an angle of elevation of 16^∘ to the plane at point A. At some later time, she measures an angle of elevation of 28^∘ to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to the nearest tenth of a foot if necessary

Answers

The distance the plane traveled from point A with measures an angle of elevation of 16°, to point B with measures an angle of elevation of 28°, is equals to the 11,728.6feet.

Jaya spots an airplane on radar that is currently approaching in a straight line start from point O in above figure, and that will fly directly overhead.

Altitude that plane maintain,h = 7300 feet

Initially, measure an angle of elevation to the plane at point A = 16°

Measure an angle of elevation to the plane at point B = 28°

Now, Let the distance between point A and point B be equal to 'x feet' and distance between point B and point C ( base) be equal to 'y feet'. So, distance between point A to point C = (x + y ) feet. We have to calculate the distance the plane traveled from point A to point B, i.e., x feet. See the above figure carefully, we see in right angled triangle BOC, tan 28° = 7300/y --(1)

In right angled triangle AOC,

tan 16° = 7300/(x + y) --(2)

Cross multiplication in equation (2)

=> tan 16° ( x + y ) = 7300

=> x + y = 7300/tan 16° --(3)

from equation (1), y = 7300/tan 28°

=> y = 7300/0.5317 = 13,729.55

so, x = 7300/tan 16° - y = 7300/0.287 - 13,729.55

= 25,458.12 - 13,729.55

= 11,728.58 ~ 11,728.6

Hence, required distance is 11,728.6feet.

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Unit 10: circles
Homework 8
#2, 4, 6, and & 8

Answers

The measures in the circles are calculated as:

2. FD = 22; 4. US = 58

6. MN = 11; 8. YZ = 34

What is the Intersecting Chords Theorem?

The Intersecting Chords Theorem states that when two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

2. 12(3x - 5) = 15(8) [based on the Intersecting Chords Theorem]

36x - 60 = 120

36x = 120 + 60

36x = 180

x = 5

FD = 3x - 5 + 12 = 3(5) - 5 + 12

FD = 22

4. 30(3x + 1) = 42(x + 11) [based on the Intersecting Chords Theorem]

90x + 30 = 42x + 462

90x - 42x = -30 + 462

48x = 432

x = 9

US = 3x + 1 + 30 = 3(9) + 1 + 30 = 58

6. (2x - 7 + 9)(9) = (8 + 10)(10) [based on the intersecting secants theorem]

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 9

MN = 2x - 7 = 2(9) - 7

MN = 11

8. (2x + 12 + 6)(6) = (x + 3 + 10)(10) [based on the intersecting secants theorem]

12x + 108 = 10x + 130

12x - 10x = -108 + 130

2x = 22

x = 11

YZ = 2x + 12 = 2(11) + 12

YZ = 34

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Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?

Answers

The slope of the linear function that represents the cost of plan B is $0.17.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Since Plan B has the same monthly base charge as plan A, we can logically deduce that the data points (0, 14.45) and (45, 22.10) lie on the linear function.

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (22.10 - 14.45)/(45 - 0)

Slope (m) = $0.17

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Complete Question:

Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?

One x-intercept for a parabola is at the point
(1,0). Use the factor method to find the other
x-intercept for the parabola defined by this
equation:
y = 2x² + 8x - 10
Separate the values with a comma.
Enter the correct answer.

Answers

the other x-intercept would be (-5,0)

In September, Larson Inc. Sold 40,000 units of its only product for $383,000, and incurred a total cost of $325,000, of which $38,000 were fixed costs. The flexible budget for September showed total sales of $400,000. Among variances of the period were: total variable cost flexible-budget variance, $7,000U; total flexible-budget variance, $74,000U; and, sales volume variance, in terms of contribution margin, $45,000U. The total sales revenue in the master budget for September, to the nearest dollar, was:

Answers

Thus, to the closest dollar, the total sales revenue included in the master budget for September was as follows: master budget sales income = $11.71 multiplied by 40,000 Sales master budget.

Let's first get the precise variable cost per unit:

Real variable cost is $7.43 per unit.

Let's next determine the revenue from the flexible budget:

$400 000 in flexible budget revenue

Let's now determine the actual sales revenue:

$383,000 was the actual sales revenue.

Let's figure out the overall variance for the flexible budget:

Overall variance for the flexible budget is $17,000.

Given that the flexible-budget variance is unfavourable (U), we can infer that actual revenue was lower than anticipated.

a... a.. a.. a.. a

Variance in sales volume is 40,000 x ($9.58 - $10.00 + $7.43)

Variance in sales volume = 40,000 x $6.01

Variance in sales volume = $240,400

Let's figure out the overall flexible-budget variation for variable costs:

Variance in the flexible budget for all variable costs is $-106,800.

Let's now determine the precise number of units sold using the sales volume variance.

The budgeted amount of units sold that were sold:

With the actual number of units sold compared to the projected amount (34,132.94), we can determine the budgeted price per unit as follows:

$11.71 is the planned price per unit (rounded to nearest cent)

Thus, to the closest dollar, the total sales revenue included in the master budget for September was as follows:

master budget sales income = $11.71 multiplied by 40,000

Sales master budget

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Find an equation of the line with gradient 4 and that passes through the point
(-5, -5)

Answers

Answer:

y = 4x + 15

Step-by-step explanation:

Using 'y=mx+c' form,

Since m = 4,

y = 4x + c

Substituting (-5, -5) into the above equation:

-5 = -20 + c

c = 15

Hence,

y = 4x + 15

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Answer:

y = 4x + 15.

Step by step solved:

Using the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the gradient and (x1, y1) is the given point, we can substitute the given values to find the equation:

y - (-5) = 4(x - (-5))

y + 5 = 4(x + 5)

y + 5 = 4x + 20

y = 4x + 15

Therefore, the equation of the line with gradient 4 and passing through the point (-5, -5) is y = 4x + 15.

At dominos, each pizza is cut into 8 slices. Chris ate 5 slices from a pizza with a diameter of 20inch pizza, what is the area of the slices Chris ate?

Answers

Answer: The area of each slice of pizza can be calculated by finding the area of the whole pizza and dividing it by the number of slices.

The radius of the pizza is half of the diameter, so the radius is 20/2 = 10 inches.

The area of the whole pizza can be calculated using the formula for the area of a circle:

Area = π × radius^2

Area = π × 10^2

Area = 100π square inches

Since there are 8 slices, each slice has an area of:

100π square inches / 8 = 12.5π square inches

Therefore, the area of the 5 slices that Chris ate is:

5 × 12.5π square inches = 62.5π square inches

This is approximately equal to 196.35 square inches, when rounded to two decimal places.

Step-by-step explanation:

What is the coordinate for G(3,-2) after it is reflected across the x-axis?
(2,3)
(-2,3)
(3,2)
(-3,-3)

Answers

Answer:The coordinates of the resulting point after the reflection across the y - axis will be P'(3, 2).

What do you mean by reflection of coordinates?

A reflection on the coordinate plane is a type of transformation. It takes a geometric figure such as a point, line segment, or shape and transforms it into a congruent geometric figure called the image.

Given is a point (-3, 2) reflected across the y - axis.

Now, when any given coordinate is reflected across the y - axis then, the sign of the x - coordinate is inverted and the y - coordinate remains same.

As given, the coordinates of the point are - P(-3, 2)

Now, after reflection across the y - axis, the new coordinates of the image of this point will be -

x' = - (- 3) = 3

y' = y = 2

P'(3, 2)

Therefore, the coordinates of the resulting point after the reflection across the y - axis will be P'(3, 2)

Answer:

3,2

Step-by-step explanation: Just took the test

PLS HELP ASAP

!!!!!!!!!

Answers

Answer:

3x³- 8x² + 2x +3

Step-by-step explanation:

All you need to do is multiply everything in the second bracket with the first bracket like you would normally do with double brackets.

3x³-3x²-5x²+5x-3x+3=

3x³-8x²+2x+3

problem i need help now

Answers

Answer:

Step-by-step explanation: 55 i think

Answer:

2%?

Step-by-step explanation:

The graph of y = 4sin(x + 3) - 2 is obtained by shifting the graph of y = 4sin x - 2 horizontally 3 units to the right.
True of false

Answers

Step-by-step explanation:

False, it is 3 units to the left

For any function,

[tex]f(x)[/tex]

the function transformation of

[tex]f(x - h)[/tex]

implies a transformation h units to the left

If h is the positive, this implies a transformation to the right

If h is negative, this implies a transformation to the left.

Here's since

[tex](x + 3[/tex]

can be written as

[tex](x - ( - 3))[/tex]

Our h is negative, therefore we move 3 units to the left

Find the discriminant of $3x^2 + \left(3 + \frac 13\right)x + \frac 13$.

Answers

The discriminant, D of the quadratic equation [tex]3x\² + 3 \frac 13x + \frac 13[/tex] when calculated is 64/9

How to determine the discriminant of the equation

The quadratic equation is given as

[tex]3x\² + 3 \frac 13x + \frac 13[/tex]

The discriminant of a quadratic equation of the form ax² + bx +c = 0 is given by the expression b² - 4ac

In this case, we have the quadratic equation [tex]3x\² + 3 \frac 13x + \frac 13[/tex], which can be written in the standard form as

[tex]3x\² + \frac {10}3x + \frac 13[/tex]

Comparing with the standard form ax² + bx + c = 0,

we have a = 3, b = 10/3 and c = 1/3

The discriminant of this quadratic equation is therefore:

D = b² - 4ac

[tex]D = (\frac{10}{3})\² - 4 \cdot 3 \cdot \frac{1}{3}[/tex]

D = 64/9

Hence, the discriminant of [tex]3x\² + 3 \frac 13x + \frac 13[/tex] is 64/9

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What does 100-20-20-30-30+20+30+5+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+20+10=.

100-30-30-20-20=0. 20+30=50. 50+5+1+1+1+1+1=60. 60+1+1+1+1+1+1+1+1+1+1=70.

70+20=90. 90+10=100. So 100 is our answer.

Answers

Answer:  this equals 100

Step-by-step explanation:

A family is traveling a total distance of 532 miles. If the family travels at an average speed of 57 miles per hour, which equation represents the number of miles remaining, m, after h hours?

Answers

m = 532 - (57 * h) represents the number of miles remaining after h hours of traveling at an average speed of 57 miles per hour.

The equation m = 532 - (57 * h) is used to represent the number of miles remaining, m, after h hours of traveling at an average speed of 57 miles per hour. The equation works by taking the total distance, 532 miles, and subtracting the product of the average speed, 57 miles per hour, and the amount of hours traveled, h. The result of the equation is the number of miles remaining, m. For example, if the family has been traveling for four hours, the equation would be m = 532 - (57 * 4). Solving the equation, m = 344, meaning the family has 344 miles left to travel. This equation allows the family to easily determine how many miles they have left to travel, given the average speed and amount of time traveled.

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a particle of mass 0.58 kg is subject to a force that is always pointed towards east or west but whose magnitude changes sinusoidally with time. with the positive x-axis pointed towards the east, the x-component of the force is given as follows: fx

Answers

The work done by the force as the particle moves from x = 0 m to x = 2.2 m is approximately -0.53 J.

A particle of mass 0.58 kg is subject to a force that is always pointed towards east or west but whose magnitude changes sinusoidally with time. With the positive x-axis pointed towards the east, the x-component of the force is given as follows: fx(t) = (2.6 N) sin(2.2t)where t is in seconds.

The work done by the force as the particle moves from x = 0 m to x = 2.2 m: For a sinusoidal force that changes with time, the work done is given by W = ∫F dx where F is the force, and dx is the displacement. For this problem, the force is given by fx(t) = (2.6 N) sin(2.2t)dx is the displacement, which is given by dx = x2 – x1 where x2 = 2.2 m, and x1 = 0 m.

Substituting for F and dx, we get W = ∫02.2(2.6 sin(2.2t)) dx= 2.6 ∫02.2 sin(2.2t) dx= 2.6 [(-1/2.2) cos(2.2t)]02.2= 1.18 (cos(4.84) – 1)≈ -0.53 J. So, the work done by the force as the particle moves from x = 0 m to x = 2.2 m is approximately -0.53 J.

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If two points on a line are A(4, 6) and B(8, −8), the rise is __________, and the run is __________, so the slope of the line is __________.

Answers

rise is =-14 and run is = 4 therefore the slope of the line is -7/2.

PLEASE HELP!!!! DUE TOMORROW AND GRADED!!!! I WILL GIVE BRAINLIEST

Answers

Answer:

  f(-3) = 6

Step-by-step explanation:

You want the value of f(-3) given a graph of f(x).

Reading a graph

To find the value of f(-3), locate -3 on the x-axis. Follow the vertical grid line to where it intersects the graph of f(x). Follow the horizontal grid line from there to the axis marked f(x), and read the value on the vertical scale.

The attachment shows this process, and that the value of f(-3) is 6.

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Additional comment

Unless there is information to the contrary, the usual assumption is that each grid line represents one unit. Positive is to the right of the vertical axis, and up from the horizontal axis. Then x=-3 is 3 grid lines left of the vertical axis.

The notation f(x) means the value of function f depends on the value x. The expression f(-3) is the function value when x=-3. Here, it is found by reading the graph. In other situations, it might be found from a table or by evaluating an algebraic expression.

You rent an apartment that costs $1200 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 8th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

The rent of the apartment during the 8th year would be approximately $2491.4.

To calculate the rent of the apartment during the 8th year, we need to apply the 11% increase per year for a total of 7 years (from the 2nd to the 8th year). Here's the calculation:

Rent for the 2nd year:

$1200 + (11% of $1200) = $1200 + ($132) = $1332

Rent for the 3rd year:

$1332 + (11% of $1332) = $1332 + ($146.52) = $1478.52

Rent for the 4th year:

$1478.52 + (11% of $1478.52) = $1478.52 + ($162.64) = $1641.16

Rent for the 5th year:

$1641.16 + (11% of $1641.16) = $1641.16 + ($180.53) = $1821.69

Rent for the 6th year:

$1821.69 + (11% of $1821.69) = $1821.69 + ($200.39) = $2022.08

Rent for the 7th year:

$2022.08 + (11% of $2022.08) = $2022.08 + ($222.43) = $2244.51

Rent for the 8th year:

$2244.51 + (11% of $2244.51) = $2244.51 + ($246.90) = $2491.41

Therefore, the rent of the apartment during the 8th year would be approximately $2491.4.

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A pair of parallel lines is cut by a transversal.

A pair of parallel lines is shown cut by a transversal. Angle A is located in the upper left exterior next to the transversal, and angle B is located in the bottom right exterior corner of the transversal.

If m∠A = (5x − 4)° and m∠B = (8x − 28)°, what is the value of x?

Answers

Answer:

8 degrees

Step-by-step explanation:

Given in the picture, hope it helps.

there are 6 pure spectral colors: red,blue,orange,yellow,green and violet,Bees can only see 2/3 of these colors.how many of the pure spectral colors can bees see?

Answers

Answer:

Step-by-step explanation:

2/3*6

6*6

12

4.02 Lesson check ! (1)

Answers

1. The sequence is an arithmetic sequence with a common difference of d = -200.

2. The sequence is not an arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

For item 1, each term is the previous term subtracted by 200, hence the sequence is in fact an arithmetic sequence with a common difference of -200.

For item 2, the difference between consecutive terms is difference, hence the sequence is not an arithmetic sequence.

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24f(x)=−x2+1 g(x)=x
​ Exer. 21-34: Find (a) (f∘g)(x) and the domain of f∘g and (b) (g∘f)(x) and the domain of g∘f.

Answers

(a) (f∘g)(x) and the domain of f∘g are defined for real numbers and (b) (g∘f)(x) and the domain of g∘f is defined for real numbers.

The given functions are:f(x) = −x² + 1g(x) = x

Exer. 21-34: To Find

(a) (f ∘ g)(x) and the domain of f ∘ g and (b) (g ∘ f)(x) and the domain of g ∘ f.(a) (f ∘ g)(x) and the domain of f ∘ gTo find the composite of the two functions, substitute the value of g(x) into f(x). Now, (f ∘ g)(x) is given by:f(g(x)) = f(x) = f(x) = f(x) = -x² + 1. The domain of (f ∘ g)(x): Since g(x) is defined for all real numbers, the domain of (f ∘ g)(x) is also defined for all real numbers.

(b) (g ∘ f)(x) and the domain of g ∘ f

To find the composite of the two functions, substitute the value of f(x) with g(x). Now, (g ∘ f)(x) is given by:g(f(x)) = g(-x² + 1) = -x² + 1

The domain of (g ∘ f)(x): The domain of f(x) is defined for all real numbers. However, the domain of g(x) is also defined for all real numbers. Therefore, the domain of (g ∘ f)(x) is defined for all real numbers.

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How many degrees is the sum of the measures of the interior angles of a regular polygon with 18 sides?

Answers

Answer: 2880 degrees

( if you want an explanation, just tell me in the comments, and I shall provide it )
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