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The sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

To be a multiple of 8, a number must be divisible by 8, which means its last three digits must form a multiple of 8. Also, the first digit of the number cannot be 0, since it must be a two-digit number or larger.

Let's start with the two-digit multiple of 8. The smallest two-digit multiple of 8 is 16, which is not a three-digit or four-digit number. The next multiple of 8 is 24, which is also not a three-digit or four-digit number. The smallest two-digit multiple of 8 that is also a three-digit number is 104 (since 112 is not a multiple of 8).

Similarly, the smallest two-digit multiple of 8 that is also a four-digit number is 1008 (since 992 is not a multiple of 8).

Therefore, the three numbers we are looking for are 104, 1008, and 1008, with a sum of:

104 + 1008 + 10008 = 11120

So the sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

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Answer: -2, 0, and 2.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

the numbers that are in the range of the relation R are -2, 0, and 2.

To determine the numbers that are in the range of the given relation R, we need to identify the second components (y-values) of each ordered pair in the relation.

The range of a relation consists of all the unique y-values that are paired with x-values in the relation.

For the given relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}, the second components (y-values) are:

-2, 0, 2, 2.

To find the numbers that are in the range, we look for the unique values among these y-values:

-2, 0, 2.

Therefore, the numbers that are in the range of the relation R are -2, 0, and 2.

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Complete question is below

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the range.

-3

-2

-1

0

1

2

Answer:

it can be use in equation

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.

Answer:

The scale factor is 3/2 or 1 to 1.5

Step-by-step explanation:

Here, we want to find the scale factor of the first to the second

Since the triangles are similar, it follows that the corresponding sides are of equal ratio

So, we have the scale factor for the sides as;

6/4 or 9/6

= 3/2 or 1 to 1.5

Answer:

3/4

Step-by-step explanation:

  3

(-----)*2 = 3/4

  8

Answer:

3/4

Step-by-step explanation:

1) multiply numerator x numerator

3 x 2 = 6

2) mantain the same denominator

6/8

3) divide numerator and denominator by 2

3/4

Answer:

11. It will take about 26 minutes to install a singular tile.

12. It will take about 10 more minutes to install a light than it does to install a cable.

Step-by-step explanation:

11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

It took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time,

We have to divide the total amount of time by the number of tiles.

390/15= 26 minutes

It will take about 26 minutes to install a single tile.

By observing the chart, it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.

22-12= 10 minutes

It takes about 10 minutes longer to install a light than it does a cable.

Hence, it took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.

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Answer:

slope(m)= (9/4) and y intercept =5

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

since 1 was 152 you have to add more to get number 8

The required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given the trigonometry identity;

d=94 secθ.

If the object is sighted at an angle of  25°, then;

d=94 sec25

d = 94 × 1/cos25

d = 94 × 1.1033

d = 103.71feet

If the object is sighted at an angle of  55°, then;

d=94 sec55

d = 94 × 1/cos55

d = 94 × 1.7434

d = 163.88feet

Hence the required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.

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Answer:

(-3, -5), (5, 2)

Step-by-step explanation:

The answer was found by seeing the "vertex" part. For example, the vertex part of a parabola function is (x+whatever)^2, and the one for the absolute value is |whatever|. Plus shifts left and minus shifts right, plus shifts up and minus shifts down on the outside.

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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The fourth power of the complex number 1 + i has an argument of π radians.

In this problem we find a complex number of the form z = (a + i b)ⁿ, where n is the grade of the power of the complex number, whose expanded form is obtained by the De Moivre's theorem:

(a + i b)ⁿ = rⁿ · (cos nθ + i sin nθ)

Where:

And the norm and the argument of the complex number are, respectively:

Norm

r = √(a² + b²)

Argument

θ = tan⁻¹ (b / a)

First, determine the components of the complex number and its power:

a = b = 1; n = 4

Second, calculate the argument of the complex number:

θ = tan⁻¹ 1

θ = π / 4 rad.

Third, find the argument of the power of the complex number according to De Moivre's theorem:

θ' = 4 · (π / 4)

θ' = π

The argument of the power of the complex number is π radians.

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Answer:

146

Step-by-step explanation:

72+4(33+2)−19

=49+4(33+2)−19

=49+4(27+2)−19

=49+(4)(29)−19

=49+116−19

=165−19

=146

Answer:

Step-by-step explanation:

Let the distance be x

Then Jonathan biked for

His mother drew for

The time difference is

So we have

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

Answer:

There are 10 of them like both games.

Answer:

-2x^3 - 4x^2 + 9

Step-by-step explanation:

You have to solve the equations in the parenthesis first then you just add the 9 to the end because it doesn't correspond with the rest of the variables "x"

The range is 250 calories and the standard deviation is 57.5 calories.

In a neighbourhood donut shop, one type of donut has 440 calories, five types of donuts have 350 calories, seven types of donuts have 530 calories, five types of donuts have 330 calories, and five types of donuts have 580 calories

The formula for the range is given by;`

range = maximum value - minimum value`

The minimum value in this case is 330 and the maximum value is 580Therefore, `range = 580 - 330 = 250`

The formula for standard deviation is given by;`s = sqrt [Σ(x - µ)² / N]`

where Σ is a symbol of summation, x is the value, µ is the mean, N is the number of data and s is the standard deviation.

Calculate the mean (µ)`µ = Σ fx / N = 11960 / 23 ≈ 520.87`Substitute the values in the formula above and calculate;

Calories (x)fx(x - µ)² 3301750(-190.87)² 3501750(-170.87)² 440440(-80.87)² 5303710(9.13)² 5802900(59.13)²Total = 352191.55`s = sqrt (352191.55 / 23)≈ 57.5 calories

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Therefore, the average number of machines waiting for service is 0.083 (rounded to three decimal places).

To calculate the average number of machines waiting for service, we can use the concept of the M/M/1 queue, where arrivals follow a Poisson distribution and service times follow a negative exponential distribution.

In this case, the arrival rate (λ) is 1 breakdown every 4 working days, and the service rate (μ) is 1 repair job per day.

The utilization factor (ρ), which represents the system's utilization, can be calculated as ρ = λ/μ = (1/4)/(1) = 1/4.

The average number of machines waiting for service (Lq) can be calculated using the formula Lq = ρ² / (1 - ρ).

Plugging in the values, we have Lq = (1/4)²/ (1 - 1/4) = 1/12.

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Answer:

Step-by-step explanation:

6x^2 - x - 13 = 0

6 * -13 = -78.

So, to factor this we need 2 integers whose product is -78 and whose sum is -1.

There are no such integers so we can't solve this by factoring.

Answer:

grapgh?????

Step-by-step explanation:

In the first case:

The angle is an acute angle. It measures more than zero but less than 90 degrees.

Second case:

The angle is an obtuse angle. It measures more than 90 degrees but less than 180 degrees.

Third case:

The angle is a right angle. It measures exactly 90 degrees.

Fourth case:

The angle is a straight angle. It measures exactly 180 degrees.

Given the function

First I'll rewrite it in terms of y

Next is to determine the values of y (range) for the given values of x

Now you can graph it:

Answer:

2x/5x= 7

Step-by-step explanation:

The given information states that A is the midpoint of PQ, B is the midpoint of PA, and C is the midpoint of PB. By using the midpoint formula, we find that A(0, 0), B(-a/2, 0), and C(-a/4, 0). Drawing a segment congruent to PQ and plotting points B and C on it, we observe that B and C coincide at A. Therefore, A, B, and C are collinear.

According to the given information, A is the midpoint of PQ, B is the midpoint of PA, and C is the midpoint of PB. We are required to use a ruler to draw a segment congruent to PQ from our sketch and to draw points B and C on PQ. Let us represent the points on a coordinate plane.

We can assume that PQ lies on the x-axis, and hence its endpoints can be represented as P(-a, 0) and Q(a, 0). Therefore, the midpoint of PQ can be found as the average of the x-coordinates of its endpoints. Therefore, the midpoint A is given by A((a - a)/2, 0) or A(0, 0).Using this information, we can also calculate the coordinates of B and C.

Since B is the midpoint of AP, we can use the midpoint formula to find that B is given by B = ((-a+0)/2, 0/2) or B(-a/2, 0). Similarly, since C is the midpoint of PB, we can use the midpoint formula to find that C is given by C = ((-a/2+0)/2, 0/2) or C(-a/4, 0).

Using a ruler, we can draw a segment on the coordinate plane congruent to PQ with the same length and endpoints as PQ. We can also plot points B and C on PQ. By examining the drawing, we can observe that B and C are equidistant from A and hence they are equidistant from each other as well. This suggests that B and C are the same point.

Therefore, we can conclude that the three midpoints A, B, and C are collinear, and hence we can say that B and C coincide at A.

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2x + 9

=2(-5) + 9

= -10 +9

= -1

Answer:

That would be C. -1

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

Below

Step-by-step explanation:

● 3 ( -x +2x - 1) = x - 1

● 3 ( -x -1 ) = x - 1

● -3x -3 = x - 1

Add -x to both sides

● -3x -3 - x = x -1 -x

● -4x -3 = -1

Add 3 to both sides

● -4x - 3 + 3 = -1 + 3

● -4x = 2

Divide both sides by -4

● -4x/-4 = 2/-4

● x = -1/2

The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

The correct formats of the equations are:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.

So, we have:

4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

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