in order to construct the perpendicular bisector of ab which statement describes the compass settings and the number of arc intersections needed

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

Answer: The second candle can burn for 20 hours before its length is zero inches.

Step-by-step explanation:

If the second candle is 8 inches in length and burns down at a rate of 2/5 inches per hour, we can use a simple formula to find how long it can burn before its length is zero inches:

Number of hours = Length ÷ Rate of burn

Number of hours = 8 inches ÷ (2/5 inches per hour)

Number of hours = 8 inches × (5/2) hours per inch

Number of hours = 20 hours

Therefore, the second candle can burn for 20 hours before its length is zero inches.

Answer:

Step-by-step explanation:

4/mx

The number of homeruns Luis Gonzales will have after 100 games can be expected using probability as 55.

Given that,

Luis Gonzales plays baseball for the Arizona Diamondbacks.

Number of games played in a season = 20

Number of games he had homeruns = 11

So there is a chance to get 11 homeruns from 20 games.

Probability of having homeruns = 11/20 = 0.55

If he played 100 games,

Expected number of homeruns he would get = 100 × 0.55 = 55

Hence the expected number of homeruns he has in 100 games is 55.

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As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).

Confidence interval:

In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.

Given,

According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.

Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.

As per the given question, the value of

Confidence interval = 98%

Number of samples = 4579

Reported numbers = 914

Therefore, the number of failure is calculated as,

=> 4579 - 914

=> 3665

Here the sample proportion is the number of successes divided by the sample size:

=> 941/4579

=> 0.1996

Here for confidence level 1 − α = 0.98,

We have to determine zα / 2 ​= z0.01​ using the normal probability table in the appendix, we get

zα/2 ​= 2.33

Then the margin of error is calculated as,

E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579

E = 0.0137

Then the boundaries of the confidence interval are then:

p⁻ˣ = 0.1996−0.0137 = 0.1859

p⁺ˣ = 0.1996+0.0137 = 0.2133

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Answer:

1,8586

Step-by-step explanation:

Answer:

Explanation:

Here, we want to get the measure of the angle marked AWL

The measure of this angle is simply half the measure of the big arc WHA

Mathematically, we have the measure of the angle as:

Answer:

135

Step-by-step explanation:

3b + B = 180

4b = 180. ÷4

b = 45

a = 135

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

26 points

Step-by-step explanation:

Find the mean number of points by adding up all of the points and dividing it by 5

(21 + 25 + 36 + 16 + 32) / 5

130 / 5

= 26

So, the mean number of points is 26 points

Jody's team scored 21, 25, 36, 16 and 32 points at the last five football games. What is the mean number of points Jody's team scored ?

To find the mean, first of all we have to add up all the given points and then divide by how many number of points there are. So, there are total 5 points. Hence, we have to divide all the given points by 5.

So, Mean = \( \bf \frac{21 \: + \: 25 \: + \: 36 \: + \: 16 \: + \: 32}{5} \)

Mean = \( \bf \frac{130}{5} \)

Mean = \( \bf 26 \)

Answer:

g(x) = -f(x) +5

Step-by-step explanation:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

0.04 rad/sec

Step-by-step explanation:

A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.

The rate of rise = dh/ dt = 4 m/s

h is the height of the balloon = 50 meters

Tanθ = opposite/ adjacent

tanθ = h / 50

Differentiating both sides of the equation with respect to t:

d(tanθ) / dt = (d/dt)(h/50)

dtanθ / dt = (dh/dt)(1/50)

But dh/dt = 4 m/s, dtanθ/dt = sec²θ

\(sec^2\theta\frac{d\theta}{dt} = (4)(1/50)\\\\sec^2\theta=\frac{1}{cos^2\theta}\\\\\frac{1}{cos^2\theta} \frac{d\theta}{dt} =0.08\\\frac{d\theta}{dt} =cos^2\theta(0.08)\\\\At\ h=50/ m\\\\tan\theta=\frac{h}{50}\\ \\tan\theta=\frac{50}{50}=1\\\\\\\theta=tan^{-1}1=45^o\\\\Substituting\ \theta=45^o:\\\\\frac{d\theta}{dt} =cos^2(45)*(0.08)\\\\\frac{d\theta}{dt}=0.04\ rad/sec\)

Answer: 570 cm

Step-by-step explanation: The problem is asking 4560 divided by 8, since they are asking the equal distance each player ran. So 4560 divided by 8 is  570 cm.

The distance each player ran for is 570 cm.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Given that, a baseball team ran with total distance of 4560 cm, there are 8 players on his baseball team, and they all ran the same number of laps,

We are asked to find the distance each player ran,

The same will be calculated by dividing total distance by total number of players.

Therefore, the distance each player ran = 4560 / 8

= 570 cm

Hence, the distance each player ran for is 570 cm.

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Answer:

y=2

Step-by-step explanation:

The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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Answer:

7

Step-by-step explanation:

7²/x²-2 when x=3

49/3²-2

49/9-2

49/7

answer=7

Answer:

(2) 4, 7, 9; 2, 5, 6; 1, 3, 8

Step-by-step explanation:

Let's group them based on how many lines they have inside the shape...

0 lines: 4, 7, 9

2 lines: 2, 5, 6

3 lines: 1, 3, 8

Therefore the answer is (2) 4, 7, 9; 2, 5, 6; 1, 3, 8

Answer:

5x+10

12x+6

18n -45

Step-by-step explanation:

5(x+2)

5x+5*2

5x+10

3(4x+2)

12x+6

9(2n-5)

18n -45

━━━━━━━☆☆━━━━━━━

▹ Answer

a) 5x + 10

b) 12x + 6

c) 18n - 45

▹ Step-by-Step Explanation

a) 5 * x =5x

5 * 2 = 10

5x + 10

b) 3 * 4x = 12x

3 * 2 = 6

12x + 6

c) 9 * 2n = 18n

9 * -5 = -45

18n - 45

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: the value of ac is 36

the value of b is 13

the two numbers that have a product of ac and a sum of a and b are 4 and 9

Don't for get to drop a heart

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

The following equation is given:

7x - 4y = -5

All the possible solutions of the equation must satisfy equality.

Let's test if the following ordered pairs (x,y) are solutions or not.

• (-2,6)

For this ordered pair, x=-2 and y=6. Substitute into the equation:

7(-2) - 4(6) = -5

Operate:

-14 - 24 = -5

-38 = -5

Since equality is false, this point is not a solution: NO

Now test the next ordered pair:

• (1,3)

Here: x=1, y=3. Substitute:

7(1) - 4(3) = -5

Operate:

7 - 12 = -5

-5 = -5

This equality is true, thus (1,3) is a solution of the equation: YES

• (-3,-4)

Here: x=-3, y=-4. Substitute:

7(-3) - 4(-4) = -5

Operate:

-21 + 16 = -5

-5 = -5

The equality is true, thus (-3,-4) is a solution of the equation: YES

• (4,2)

Here: x=4, y=2. Substitute:

7(4) - 4(2) = -5

28 - 8 = -5

20 = -5

This equality is false. The ordered pair is not a solution. NO

.

Answer:

Option 2

Step-by-step explanation:

You can see that the graph of the inequality is x <= -3, so you want to find why inequality matches that. Solve each one:

1

.\(3x \geq -9\\x \geq -3\)

doesn't match

2.

\(-7x\geq 21\\x\leq -3\)

Does match, so this is the answer.

Answer:

x=4

Step-by-step explanation:

the line goes through the x axis at 4

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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The value of Cot (θ) in terms of sin (θ) is \(cot (\theta) = -{{\frac{\sqrt{1-sin^{2}(\theta)}}{sin(\theta)} }\)when θ is in the second quadrant.

A trigonometric function, sometimes known as a circular function, is a function of an arc or angle that is most easily described in terms of the ratios of pairs of sides of a right-angled triangle. Examples of such functions are sine, cosine, tangent, cotangent, secant, or cosecant.

The trigonometric function cot (θ) can be written as:

cot (θ) = cos (θ) / sin (θ)

Now by using the Pythagorean identity,

sin² (θ) + cos² (θ) = 1

cos² (θ) = 1 - sin² (θ)

cos (θ) = ± √ [  1 - sin² (θ) ]

Therefore, substituting the value of cos (θ) in the expression of cot (θ).

cot (θ) = cos (θ) / sin (θ)

cot (θ) = ± √ [  1 - sin² (θ) ]  / sin (θ)

Now, cos (θ) < 0 because the angle θ is in the second quadrant,

Therefore,

cos (θ) = - √ [  1 - sin² (θ) ]

Hence,

cot (θ) = - √ [  1 - sin² (θ) ]  / sin (θ)

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Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500