On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).
Which point on the y-axis lies on the line that passes through point G and is parallel to line DF?

(–2, 0)

Answer:

?

Step-by-step explanation:

Answer:false

Step-by-step explanation:

Answer: 3

Step-by-step explanation: 12 times 1/4 = 3

Answer:

Explanation:

12×1/4 = 12/4 = 3

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer:

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

Answer:

1st, 2nd, 4th

Step-by-step explanation:

Lengthxwidthxheight

Since it is a cube, all 3 are the same

So,

3/4x3/4x3/4 OR 3^3/4^3 OR (3/4)^3

27/64ft^3

The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

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Answer:

1/4 * 1/2 = 1/8

Step-by-step explanation:

1/4 chance of choosing an 'm'

1/2 chance of getting tails

Probability of both events = 1/4 * 1/2 = 1/8

Answer:

i cant help you i cant see the question in the picture or the answers its kind of bler

Step-by-step explanation:

when receiving this kind of questions, you just need to find a figure that you can calculate the area of or split the figure in multiple figures that you can calculate.

Answer:

I believe it would be 14 to 28

Answer:

3rd option

Step-by-step explanation:

(x + 7)(x - 9) = 25 ← expand left side using FOIL

x² - 2x - 63 = 25 ( add 63 to both sides )

x² - 2x = 88

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 88 + 1

(x - 1)² = 89 ( take square root of both sides )

x - 1 = ± \(\sqrt{89}\) ( add 1 to both sides )

x = 1 ± \(\sqrt{89}\)

Answer:

the answer is 12b

Step-by-step explanation

Multiply 4 by 3 and keep b

Answer:

3) p(2) = 22

4) k = 0

Step-by-step explanation:

Remainder theorem: If the polynomial p(x) is divided by the linear polynomial x -a then the remainder is p(a).

3)p(m) = m⁴ - 2m³ +  m² + 12m - 6

p(m) is divided by (m - 2).

m -2 = 0

m = 2. The remainder is p(2)

p(2) = 2⁴ - 2*2³ + 2² + 12*2 - 6

      = 16 - 16 + 4 + 24 - 6

      = 22

p(2) = 22

4) p(x) = 8x³ + 6x² + x + k

p(x) is divided by (2x + 3).

2x + 3 = 0

      2x = -3

         \(x = \dfrac{-3}{2}\)

                               \(p(\dfrac{-3}{2})=-15\)

 \(8*(\dfrac{-3}{2})^3+6*(\dfrac{-3}{2})^2-\dfrac{3}{2}+k=-15\\\\\\8*\dfrac{-27}{8}+6*\dfrac{9}{4}-\dfrac{3}{2} + k = -15\\\\\\-27 + \dfrac{27}{2}-\dfrac{3}{2}+k=-15\\\\\\-27 + \dfrac{24}{2}+k=-15\\\\\)

        -27 + 12 + k = -15

                         k = -15 + 27 - 12

                        k = 0

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

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Answer:103

Step-by-step explanation:vrefdvrt

Answer:

ans 3

Step-by-step explanation:

Circumference is distance round a figure. When diameter is trippled, the circumference will also tripple.

Here is a proof

Take the moon to have circular shape and has diameter d

Circumference is given by C=πd

When the new diameter is trippled, diameter will be 3d and the new circumference will be

C=π3d=3πd

Evidently, the new circumference is three times the original circumference. Therefore, for this case, the new circumference will be 3 times the original

a) Approximately 29.50% of brake pads will contain less than 32.5% copper. b)  The approximate distribution of the sample mean copper percentage is a normal distribution with mean 34 and standard error 0.7.

a)To solve this problem, we can use the z-score formula to standardize the value of 32.5 using the mean and standard deviation given:

z = (x - μ) / σ

where x is the value we are interested in (32.5), μ is the mean (34), and σ is the standard deviation (2.8).

Substituting these values, we get:

z = (32.5 - 34) / 2.8 = -0.536

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than -0.536, which is approximately 0.2950 or 29.50%. Therefore, approximately 29.50% of brake pads will contain less than 32.5% copper.

b) The sample mean copper percentage of 16 pads will also follow an approximate normal distribution with mean μ = 34 and standard deviation σ/√n = 2.8/√16 = 0.7, where n is the sample size.

Therefore, the approximate distribution of the sample mean copper percentage can be expressed as:

X ~ N(34, 0.7)

where X is the sample mean copper percentage.

The mean of this distribution is equal to the population mean μ, which is 34. The standard error of the mean (also known as the standard deviation of the sampling distribution) is given by σ/√n, which is 0.7 in this case.

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Your question is incomplete, but probably the complete question is :

Assume the distribution of copper content (%) in sintered brake pads follows an approximate normal distribution with a mean of 34 and a standard deviation of 2.8

a.) What percentage of brake pads will contain less than 32.5% copper?

b.) What is the approximate distribution of the sample mean copper percentage if we sample 16 pads? Include the mean and standard error of this distribution

Answer:

x+2y=3

Step-by-step explanation: Hope this helps!! :)))

Designs have the same fractions o black and white is 16/2

Given,

Four student, each with 2 distinct colors, and no two subsequent flag may share the same color. Hence, the first stripe may be colored in any of 4 different ways.

The second student can be colored in 4 different ways after it is not the same color as the first.

The third flag should not be the same color as the second; it can be colored in 4 different ways.

The fourth flag should not be the same color as the third, allowing for a total of 4 different color combinations. total = 4 * 2  * 2 = 16

designs have the same fractions o black and white is 16/2

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Let's call the unknown number: X

So, six times a number can be written as:

The quotient of that number and two is:

Therefore, The sum of six times a number and the quotient of that number and two is ten can be written as:

There are 3003  ways are there to distribute 20 (identical) sticks of red licorice and 15 (identical) sticks of black licorice among five children

What is the real meaning of combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

20C5 = 20!/ 15!5!

         = 20*19*18*17*16 / 5*4*3*2*1

         = 15504

15C5= 15!/ 10!5!

       = 3003

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If x is the number 0.222…, then 10x = 2.222…. Subtracting x from 10x eliminates the fractional part, so that

10x - x = 2.222… - 0.222…

==>   9x = 2

and solving for x gives x = 2/9.

Answer:

Option C: 24 is the correct answer.

Step-by-step explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

\(\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24\)

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.

The probability that a randomly selected student is a management major is 0.129.

To calculate the probability that a randomly selected student is a management major, we divide the number of management majors by the total number of students surveyed. From the given information, we know that there were 31 students surveyed, and 3 of them were management majors.

To find the probability, we divide the number of management majors (3) by the total number of students surveyed (31). The probability is calculated as 3/31 ≈ 0.129.

The concept of probability used in this calculation is empirical probability. Empirical probability is based on observed data or outcomes from an experiment or survey. In this case, the probability is estimated by analyzing the actual number of management majors among the surveyed students.

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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Answer:

b.28% of the patients tested received the medication and experienced a decrease in blood pressure

Answer:

The second one

Step-by-step explanation:

The total of patients is 100% wich is equivalent to 1.

● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.

The intersection of both is worth 0.28

So out of 1, 0.28 took medication and experienced a blood pressure decrease

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Answer:

Angle F = m∠C = 20°

Angle E = m∠B = 70°

AC = 11.3 cm

DF = 5.6 cm

DE = 2.0 cm

Step-by-step explanation:

Answer: pi/2

Step-by-step explanation: