What is the x-coordinate of the point that divides thedirected line segment from J to k into a ratio of 2:5?1Xmm+nJxX2 - X1) + x1-9-8-7-6-5-4-3-2-1,1 2 3 4 5 6 7 8 9 10 11 X2J(-6,-2)04-3-2-604-748-9-10-11-1213K(8.-9)

Answer:

C AND D

Step-by-step explanation:

Just multiply what’s inside the parentheses by what’s outside and don’t change the signs of the numbers

Answer:

C and D

Step-by-step explanation:

A is impossible : the w- term cannot simply disappear.

B is impossible, because it would create -9v instead of -6v.

C is the best choice, as it simplified the most.

D is possible, but leaves another factor of 3 in the main term.

Answer:

c = 13

Step-by-step explanation:

c = 6(3) - 5

c = 13

Answer:

C. c=13

Step-by-step explanation:

This is how I figured it out:

1. I took the equation (c=6a-b) and I replaced the letters with the numbers given. (a=3 & b=5) so I got the new equation c=6(3)-5.

2. I used PEMDAS (parentheses, exponents, multiplication, division, addition and subtraction. Since we have multiplication and subtraction needed multiplication is shown before subtraction in PEMDAS so we would figure out 6(3) first which is equal to 18.

3. Now we have the new equation of c=18-5. Since subtraction is left we would take away 5 from 18 and now we have the final answer of 13. So the equation would now look like this: c=13. It's pretty obvious that c=13 that c has the value of 13.

I hope this helps:)

Answer:

450 x 1.08 ^ X = N

Step-by-step explanation:

Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:

450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle

450 x 1.08 ^ X = N

Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:

450 x 1.08 ^ 5 = N

450 x 1.4693 = N

661.20 = N

Answer:

step by step explanation:

1. 9 4. -12

2. -48 5. 0

3. 17 6. 1

Answer:

False

Step-by-step explanation:

(x+4)^2 =  x^2 + 8x + 16

Answer:

Hello your question has some missing part below is the missing part

The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:

State your hypothesis and conduct a hypothesis testing using a significance of 0.10.

answer :  We will reject the Null hypothesis

Step-by-step explanation:

μ1 = mean working hours for Baltimore facility  

μ2 = mean working hours  for Burlington facility  

Hence the Hypothesis are :

H0 : μ1 = μ2

Ha : μ1  > μ2

Next:  Conduct a hypothesis testing

we will apply Z - testing attached below is the hypothesis testing

n1 = 145 , X1 = 52.5 , δ1 = 19.7  ( Baltimore )

n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

A generic equation for a line in the plane is y=mx+b, where m is the slope of the line and b is the linear coeficient. Our question gave to us that m=2 and b=-9, so our equation for the line is:

So, in our standard form, we have:

Answer: 20 Pounds

Step-by-step explanation:

1/4 X 5 = 1/20 then reverse it

20/1 = 20 Pounds

(may not be correct!!!)

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

Does the graph represent a function: B. No.

In Mathematics, a function is typically used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).

This ultimately implies that, an independent value (domain or input variable) represent the value on the x-coordinate of a cartesian coordinate while a dependent value (range or output variable) represent the value on the y-coordinate of a cartesian coordinate.

By critically observing the graph, we can logically deduce that it does not represent a function because its independent value (domain) has more than one y-value or dependent value (range).

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The value of x in a complementary angle will be 5.

Complementary angles are defined as angles having the sum of 90 degrees. If the sum of two angles is equal to 90 degrees then the angles are called complementary angles.

Given that the measures of two complementary angles are 7x and 11x. the value of x will be calculated as below:-

7x + 11x = 90

Solve the above equation for the value of x.

18x = 90

x = 90 / 18

x = 5

Therefore, the value of x in a complementary angle will be 5.

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Answer:

32.38 square m

Step-by-step explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

\( = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ \)

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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The trend appears to be linear. Assuming the trend continues, the number of unemployed will first reach 43 in the year 2022.

To determine whether the trend appears linear, we can plot the data points on a graph and check for a consistent pattern. Let's create a scatter plot with the years on the x-axis and the number of unemployed on the y-axis.

Year     |  Number Unemployed

1990     |  750

1992     |  670

1994     |  650

1996     |  605

1998     |  550

2000     |  510

2002     |  460

2004     |  420

2006     |  380

2008     |  320

When we plot these points, we can see that there is a consistent downward trend in the number of unemployed over the years.

Next, we can try to fit a line to the data points to see if it follows a linear pattern. Using a linear regression model or by visual inspection, we can determine that the data points approximately follow a straight line.

Assuming this linear trend continues, we can extrapolate to find the year when the number of unemployed first reaches 43. By extending the line beyond the given data points, we can estimate that it will intersect the y-axis (number of unemployed) at approximately 43.

Therefore, the year when the number of unemployed first reaches 43 would be around 2022.

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

The dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet are 4 feet and 3 feet.

From the information, we are given that the dimensions of a rectangle with an area of 12 ft.² and a diagonal of 5 feet.

It should be noted that the number will be:

= 4 × 3 = 12 ft²

It should be noted that 4² + 3² = 25 and the square root will give 5 which is also the diagonal.

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The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.

1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.

2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.

3. To find the maximum height, we need to determine the vertex of the parabolic equation.

4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).

5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).

6. Simplifying the expression, we find x = 4.44.

7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.

8. Evaluating the expression, we find y ≈ 4.32.

9. The maximum height of the tent is approximately 4.32 feet.

10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.

11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.

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We are 90% confident that the true proportion of houses in the area that cost less than $200,000 is between 0.27 and 0.41.

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence, based on a sample from the population.

The level of confidence is typically expressed as a percentage, such as 90%, 95%, or 99%, and indicates the probability that the true value of the parameter lies within the interval.

We have,

We can interpret the 90% confidence interval as follows.

If we were to repeat the sampling process many times and compute the confidence interval for each sample, about 90% of the intervals would contain the true proportion of all houses in the area that cost less than $200,000.

Therefore,

We are 90% confident that the true proportion of houses in the area that cost less than $200,000 is between 0.27 and 0.41.

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The exponential growth function can be written as P0 * \(e^(rt)\) where P0 is the initial population, r is the annual growth rate expressed as a decimal, t is the time in years, and e is the mathematical constant e. To estimate the population in 2018, we need to find the value of P(t) when t = 6 (since 2018 is six years after 2012).

An exponential growth function is a mathematical function that models the growth of a quantity at an exponential rate over time.

a) The exponential growth function can be written as:

P(t) = P0 * \(e^(rt)\)

where P0 is the initial population, r is the annual growth rate expressed as a decimal, t is the time in years, and e is the mathematical constant e (approximately equal to 2.71828).

In this case, P0 = 5.94 million, r = 0.0377 (3.77% expressed as a decimal), and t is the time in years. Therefore, the exponential growth function for this city is:

P(t) = 5.94 * \(e^(0.0377t)\)

b) To estimate the population in 2018, we need to find the value of P(t) when t = 6 (since 2018 is six years after 2012). So, we plug in t = 6 into the exponential growth function:

P(6) = 5.94 * \(e^(0.0377 * 6)\) ≈ 7.58 million

Therefore, the estimated population of the city in 2018 was 7.58 million.

c) To find when the population of the city will be 9 million, we need to solve the exponential growth function for t when P(t) = 9. So, we plug in P(t) = 9 into the exponential growth function:

9 = 5.94 * \(e^(0.0377t)\)

Divide both sides by 5.94:

1.516835016835017 = \(e^(0.0377t)\)

Take the natural logarithm of both sides:

ln(1.516835016835017) = 0.0377t

Solve for t:

t ≈ 8.39

Therefore, the population of the city will reach 9 million approximately 8.39 years after 2012, which is around 2020.

d) The doubling time is the amount of time it takes for the population to double. We can use the exponential growth function to find this time by solving for t when P(t) = 2P0 (twice the initial population):

2P0 = P0 * \(e^(rt)\)

Divide both sides by P0:

2 = \(e^(rt)\)

Take the natural logarithm of both sides:

ln(2) = rt

Solve for t:

t = ln(2) / r

Substituting r = 0.0377, we get:

t = ln(2) / 0.0377 ≈ 18.38

Therefore, the doubling time for the population of this city is approximately 18.38 years.

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Answer:

the answer is a

Step-by-step explanation:

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

\(\frac{-12}{4}\) = \(\frac{-3}{1}\) = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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9514 1404 393

Answer:

Step-by-step explanation:

You know the general term of an AP is ...

  an = a1 +d(n-1)

Here, a1 = k. The common difference is ...

  2k/3 -k = -k/3

So, the general term is ...

  an = k +(k/3)(n -1) . . . . the general term

__

The 6th term is then ...

  a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term

__

The 20th term is ...

  a20 = k + (k/3)(20 -1) = 22k/3

If this is 15, then the value of k is ...

  22k/3 = 15

  22k = 45

  k = 45/22 . . . . value of k for a20 = 15

The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

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Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)