HELP PLEASE 24 POINTS

Answer:  D: x = (-9, 0) U (0, 4) U (4, 8)

Step-by-step explanation:

Line 1:      y = -2               where      -9 < x < 0

Line 2:     y = 2)x + 1        where       0 < x < 4

Line 3:    y = -(1/2)x + 6    where       4 < x < 8

Domain represents the x-values.  Since all of them are open dots, the intervals are strictly less than (<).

-9 < x < 0   and   0 < x < 4   and   4 < x < 8 is the union of these intervals

-9 < x < 0   U   0 < x < 4   U   4 < x < 8

Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)

Answer:

1st piece:  

✔ –10 < x < 0

2nd piece:  

✔ 0 < x < 4

3rd piece:  

✔ 4 < x < 8

Step-by-step explanation:

Answer: x=500,000

Step-by-step explanation:

60,000=.12x

60,000/.12=x/.12

500,000=x

Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

Answer:

Angle 2 = 75 degrees, Angle 1 = 105 degrees

Step-by-step explanation:

Step 1:

Angle 8 = Angle 2  Alt. Int.

Step 2:

180 degrees - Angle 2 = 105 degrees

Step 3:

Angle 1 = 105 degrees

Answer:

Angle 1 = 105 degrees, Angle 2 = 75 degrees

Hope This Helps :)

Answer:

  ∠2 = 75°

  ∠1 = 105°

Step-by-step explanation:

∠2 is an "alternate interior" angle with respect to the one marked 75°, so is congruent to that:

  ∠2 = 75°

__

∠1 and ∠2 form a linear pair, so ∠1 is supplementary to ∠2:

  ∠1 = 180° -75°

  ∠1 = 105°

Answer:

D. 17

Step-by-step explanation:

Trust me this one is correct :) Please put brainliest if it's true.

Answer:D)17

Step-by-step explanation:

The required number of days when ship leaves for all the three destinations simultaneously is 336 days.

Ship leaves for Buenos Aires every 16 days.

Ship leaves for New York every 12 days

And Ship leaves for Sydney every 14 days

Number of days ships leave for all three destinations simultaneously is represented by Least common multiple.

Least common multiple (LCM) of 16, 12, and 14 are,

Prime factorization of each number is equal to,

16 = 2 × 2 × 2 × 2

12 = 2 × 2 × 3

14 = 2 × 7

LCM = highest power of each prime factor

       = 2 × 2 × 2 × 2 × 3 × 7

       = 336

Therefore, number of days ships leave for all three destinations simultaneously every 336 days.

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Answer:

2/5

Step-by-step explanation:

Good luck!

Answer:

x=m/2+k , k≠-2

Step-by-step explanation:

2x+kx=m

Factor out x from the expression:

(2+k)x=m

Assume 2+k≠0 and divide both sides of the equation by 2+k:

x=m/2k , 2+k≠0

Rewrite the restriction:

x=m/2+k≠-2

Solution:

x=m/2+k , k≠-2

The value of x in the given expression is x = m / (k+2)

An expression is a mathematical statement containing variables, numerical, and they are related by at least one mathematical operation.

Given an expression, 2x + kx = m

We are asked to rearrange the values and find the value of x.

Therefore,

2x + kx = m

Since, two terms have same variable, therefore, taking x common from both,

x(2+k) = m

x(k+2) = m

Now, transpose (k+2) to right side, we get,

x = m / (k+2)

Hence, we get the value of x as, x = m / (k+2)

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Using translation concepts, y-coordinates greater than 38 identify a location north of the city.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering latitude and longitude, the coordinates of a city are given as follows:

(LON, LAT).

Hence, the given city has coordinates given by:

(25, 38)

As we move north, the latitude increases, hence, y-coordinates greater than 38 identify a location north of the city.

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The population density of deers is the ratio of their population to the area in which they are located, then, to know what is the deer population of the state, we have to multiply the population density by the area of the state like this:

deer population in Pennsylvania = population density * Area of Pennsylvania

deer population in Pennsylvania = 23 * 46055 = 1,059,265

Then, the deer population in Pennsylvania is 1,059,265

The factor of the quadratic equation n² + n = 56 is (n + 8)(n - 7). Then the value of the n is 7 and negative 8.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation will be given below.

n² + n = 56

The equation can be written as

n² + n - 56 = 0

On factorization, we have

        n² + n - 56 = 0

n² + 8n - 7n - 56 = 0

      (n + 8)(n - 7) = 0

                       n = 7, -8

The value of the n is 7 and negative 8.

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Answer:

Figure 7 has 56 blocks.

Step-by-step explanation:

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

4

Step-by-step explanation:

You can rewrite 1 1/2  as 1.5. This just makes it easier if you use a calculator.

6/1.5 = 4

Let's just think of a different way to think about it:

If you add up two 1 1/2 ft sandwiches, (1.5 + 1.5), that equals 3. Two 3's equal 6. Again, the answer is 4.

The correct system of equations that could be used to find x, the cost of a medium drink, and y, the cost of a large popcorn, is:

A) 2x + y = 13.85 3x + 2y = 23.9

To arrive at these equations, you can use the information given in the question to set up a system of linear equations. You know that 2 medium drinks and a large popcorn cost $13.85, so you can write:

2x + y = 13.85

where x is the cost of a medium drink and y is the cost of a large popcorn.

You also know that 3 medium drinks and 2 large popcorns cost $23.90, so you can write:

3x + 2y = 23.9

Then , you can solve the system of equations for x and y using any method you prefer, such as elimination or substitution. For example, one way to solve the system is to multiply the first equation by 3 to eliminate y:

6x + 3y = 41.55

Then you can subtract the second equation from this equation:

6x + 3y - (3x + 2y) = 41.55 - 23.9

Simplifying this equation gives:

3x + y = 17.65

You now have two equations to solve for x and y:

3x + y = 17.65 3x + 2y = 23.9

This system of equations is equivalent to the system shown in answer A.

Answer:

A

Step-by-step explanation:

The answer is (A) because, first off you have 2 medium drinks. So that is 2x. Second you only have 1 large popcorn. So that is just y. Right now the equation is 2x + y =$13.85. The next part of the problem is the same thing. You have only 1 more medium drink this time, so it is 3x. Then you have 1 more large popcorn, so that is 2y. The final part of the equation is 3x + 2y =$23.90. Since 23.90 is just a decimal you can just get rid of the 0. Now the equation should look like this, 2x + y=$13.85

3x + 2y=$23.9

Answer:

the third side must fall between 3 and 13.

Step-by-step explanation:

3) To determine the range of possible values for the third side of a triangle given two side lengths, we use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, for the given side lengths of 23 and 14, the possible range of values for the third side would be:

23 - 14 < x < 23 + 14

9 < x < 37

Therefore, the third side must fall between 9 and 37.

4) Using the same theorem, we can find the range of possible values for the third side with the given side lengths of 5 and 8:

8 - 5 < x < 8 + 5

3 < x < 13

Therefore, the third side must fall between 3 and 13.

Answer:

Scale factor = \(\frac{1}{2}\)

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = \(\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}\)

                    = \(\frac{3}{6}\)

                    = \(\frac{1}{2}\)

Answer:

PQ' : Q'Q = 3 : 1

Step-by-step explanation:

As Given In Question

We Have A Triangle With Side PQ=8cm

PQ' = 3/4 * PQ

PQ' = 3/4 * 8

PQ' = 6 cm

& Q'Q = PQ - PQ'  

            = 8 - 6 = 2cm

so the line segment PQ is divided into PQ' : Q'Q = 3 : 1

Answer:

1000

Step-by-step explanation:

20,000 divided by 20 is 1,000!

Answer:

y=0x-5

Step-by-step explanation:

Answer:

y=0 x -5

Step-by-step explanation:

hope this helps you out

Answer: 155°

because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  3, -1

Step-by-step explanation:

The slope formula is ...

  \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...

  \(m=\dfrac{0-\,-2}{3-\,-1}\)

The first blank shown is filled with x2 = 3.

The second blank shown is filled with x1 = -1.

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

This integral represents the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6.

To express the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6, we will use the arc length formula for parametric curves. The formula is:
Arc length = ∫(√(dx/dt)² + (dy/dt)²) dt
Here, x and y are both functions of a parameter t. In this case, we can use t = x as our parameter. Therefore:
x(t) = t
y(t) = tan(t)
Now, we differentiate x(t) and y(t) with respect to t:
dx/dt = 1
dy/dt = sec²(t)
Now, substitute these derivatives into the arc length formula:
Arc length = ∫(√(1² + sec²(t)²)) dt
Simplify the integrand:
Arc length = ∫(√(1 + sec⁴(t))) dt
Since we want to express the arc length for 0 ≤ x ≤ π/6, we need to consider the bounds of the integral with respect to t. Since t = x, the bounds for t are the same:
Arc length = ∫[0, π/6] (√(1 + sec⁴(t))) dt
This integral represents the arc length of the curve y = tan(x) for 0 ≤ x ≤ π/6.

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Answer:

96

Step-by-step explanation:

Answers:

\(m \angle Q = 96\)

\(m \angle R = 42\)

==========================================

Explanation:

Check out the diagram below. I've formed triangle PQR such that PQ and QR are congruent sides shown by the tickmarks. This isosceles triangle has congruent base angles, which are opposite the tickmark sides. Those base angles are P and R. Since P is 42 degrees, so is R.

Let x be the measure of angle Q

For any triangle, the three angles always add to 180

P+Q+R = 180

42+x+42 = 180

x+84 = 180

x = 180-84

x = 96

Therefore, angle Q is 96 degrees.

The time taken is 1 second to reach the highest point by using std equations of velocity, time and displacement .

What are 3 std equations of velocity, time and displacement ?

The three standard equations are given as :

1st std equation : v = u + at

2nd std equation : s = u*t + (1/2)at²

3rd equation : 2as = v²-u²

By using 1st std equation:

At highest point final velocity will be zero(0).

So, v = 0

u = 16

a = -16

0 = 16 + -16*t

t = 1sec

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There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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Answer:

c = 202 children use the pool, and 284 - 202, or 82 adults.

Step-by-step explanation:

Represent the number of children by c and the number of adults by a.

There are a total of 284 people using the pool, so c + a = 284.

Admission fees are $1.50/child and $2.00/adult.  $1.50c is the amount taken in through ticket sales for c children;  $2.00a for adults.

Then total ticket sales are ($1.50/child)c + ($2.00/adult)a = $467.

Going back to c + a = 284, a = 284 - c, and so the above equation becomes

($1.50/child)c + ($2.00/adult)(284 - c) = $467

After simplifying this equation in c, we get:

1.50c + 568 - 2c = 467, or

101 = 0.5c.  Thus, c = 202 children use the pool, and 284 - 202, or 82 adults.

Answer: (-2, 1)

Step-by-step explanation:

The initial 50 miles distance from the lighthouse and the N 30° W and N 40° W bearing of the ship before and after traveling due east, using the law of sines, indicates.

The law of sines states that in a triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same for each of the three sides of the triangle.

The distance of the ship from the lighthouse = 50 miles

Bearing of the lighthouse from the ship = N 30° W

The direction in which the ship travels = due east

The new bearing to the lighthouse = N 40° W

In the triangle formed by the initial and new locations of the ship and the lighthouse, the interior angles, A, B, C are;

m∠A = 30° + 90° = 120°

m∠B = 90° - 40° = 50°

Therefore; m∠C = 180° - (120° + 50°) = 10°

Angle opposite the initial distance of the ship from the lighthouse = ∠B = 50°

The angle opposite the new distance of the ship from the lighthouse = m∠A = 120°

The law of sines indicate that we have;

\(\dfrac{50}{sin(50^{\circ})} = \dfrac{New \, distance}{sin(120^{\circ})}\)

50 × sin(120°) = The new distance of the lighthouse × sin(50°)

The new distance of the lighthouse = 50 × sin(120°)/(sin(50°)) ≈ 56.53

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From the given function, When the number of classes is 1 the football is less expensive.

When the number of classes is 1, the basketball is less expensive.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Four main categories can be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

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