negative 3 and 4 over 5 minus 5 and 2 over 3.

Answer:

0.325

Step-by-step explanation:

i don't get the question sorry...

rational

rational

irrational

irrational

irrational

Answer:

L = A/W

L = 10k^2 + 10k + 1 −  3      

                        5k−4

if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853

To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.

However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.

By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853

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Answer:

Step-by-step explanation:

If a person's monthly bill from the number of  kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;

\(b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80\)

Hence the bill for a person who uses 600 kWh in a month is $80

Answer:

-1/3

Step-by-step explanation:

Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

Step 1: redraw the figure given

Step 2: State the relationship between the lines

It can be observed that

(i) line XY is perpendicular to line PS

(ii) line XY is perpendicular to line QT

(iii) line PS is parallel to line QT

Hence, XY⊥PS, XY ⊥ QT, PS ║ QT, The Second option.

The rise, run and slope of the line are 5, 3 and 5/3 respectively

The slope of a line is a measure of its steepness. The slope is determined as rise over run i.e.  change in y divided by change in x

The rise and run of the line are shown in the image and attached

rise = 7-2 = 5

run = 8-5 = 3

Slope = rise/run

Slope = 5/3

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

17/2

Step-by-step explanation:

Work backwards. you have 10, then opposite of subtract 7 is add 7 which gives you 17. then opposite of double is half getting you 8.5 or 17/2

Answer:

Your number is 8.5 or 17/2

Step-by-step explanation:

Let's say your number is equal to the variable n.

Then we can set up an equation for this scenario: 2n - 7 = 10

Now, we need to use algebra to solve:

2n - 7 = 10 → add 7 to both sides

2n = 17 → divide both sides by 2

n = 17/2 = 8.5

Thus, the number you were thinking of was 8.5, or 17/2

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

An equation is a statement of equality between two expressions consisting of variables, numbers and arithmetic operations.

Step-by-step explanation:

The equation 8x = 8(x - 1)+1 can be simplified as

8x=8x-8+1

0=-7( absurd)

This equation does not have any solution.

The equation 2x-5 = 2(x - 5) can be simplified as

2x-5=2x-10

-5=-10(absurd)

This equation does not have any solution.

The equation 22-6x = 2(3x - 11) can be simplified as

22-6x=6x-22

-6x-6x=-22-22

-12x=-44

x=44/12=11/3

This equation has only one solution.

The equation 3(5x - 4) - 8x = 7x -12 can be simplified as

15x-12-8x=7x-12

7x-12=7x-12

0=0, is an identity

This equation has infinite number of solutions.

Hence the equation 3(5x - 4) - 8x = 7x -12 has infinite number of solutions.

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Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

1. 55%

2. 60%

3. 35%

4. 95%

5. 40%

1. The probability that a randomly selected student is male is 0.55 (55%).

2. The probability that a randomly selected female student is registered in the 2-year diploma program is 0.6 (60%).

3. The probability that a randomly selected male student is registered in the 1-year certificate program is 0.35 (35%).

4. The probability that a randomly selected student is female or is registered in a 2-year diploma program is 0.95 (95%).

5. The events “1-year program” and “male” are not independent as the probability of one event affects the probability of the other event. For example, the probability of a randomly selected male student being registered in the 1-year certificate program is 0.35 (35%), which is lower than the overall probability of a randomly selected student being registered in the 1-year certificate program (0.4 or 40%).

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Answer:

1.  \(-1\) \(\frac{1}{3}\)

2. \(-1\) \(\frac{1}{2}\)

3. \(1\) \(\frac{1}{2}\)

4. \(1 \frac{3}{4}\)

-1 1/3 is the least of all the numbers. So, this is the first number.

-1 1/2 is the second least number. So, this is the second number.

1 1/2 is the third least number. So, this is the third number.

Finally, 1 3/4 is the greatest number, so it is the fourth number.

Hope this helps you!

Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

The statement "The normal force is equal to the perpendicular component of the object's weight, which decreases as the angle of inclination increases" is true.

As the angle of inclination increases, the object's weight can be divided into two components: one perpendicular to the inclined surface (the normal force) and one parallel to it. As the angle increases, the perpendicular component (normal force) decreases, while the parallel component increases.

So to directly answer your question, the normal force is never equal to the weight of the object on an inclined plane (unless you count the limiting case of level ground). It is equal to the weight of the object times the cosine of the angle the inclined plane makes with the horizontal.

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Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

20 units is the measure of the length of IK.

A line is defined as the distance between two points. Given the following parameters

IK =5x

IJ = 4

JK =4x

If the point J is on IK, hence;

IK = IJ + JK

Substitute the given parameters to have:

5x = 4 + 4x

5x - 4x = 4

x = 4

Determine the length of IK

IK = 5x = 5(4)

IK = 20

Hence the measure of the length of IK is 20 units
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Complete question

Point J is on line segment IK.Given IK =5x, IJ = 4 and JK =4x, determine the numerical length of IK

The point on the line closest to a given point can be found by minimizing the distance between the point and any point on the line. By using a distance function, we can determine the coordinates of the point that minimizes this distance.

To find the point on the line closest to a given point, we can set up a distance function. Let's denote the given point as (x, y) and the line as y = mx + b. The distance between the point (x, y) and any point (x, mx + b) on the line can be calculated using the distance formula as D(x) = sqrt((x - x)^2 + (y - (mx + b))^2).

To find the point on the line that minimizes the distance, we need to find the value of x that minimizes the distance function D(x). This can be done by taking the derivative of D(x) with respect to x, setting it equal to zero, and solving for x. Once we have the value of x, we can substitute it into the equation y = mx + b to find the corresponding y-coordinate.

In summary, to find the point on the line closest to a given point, we can set up a distance function and minimize it by finding the value of x that minimizes the function. The coordinates of the closest point can be obtained by substituting the optimized x-value into the equation of the line.

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The equations are solved to w = 0 and z = -2. Option B

From the information given, we have the simultaneous equations as

3w-4z=8

2w+3z=-6

Make w the subject from equation 1

w = 8 + 4z/3

Substitute the value into equation 2, we have that;

2(8 + 4z/3) + 3z = -6

expand the bracket, we get;

16 + 8z/3 + 3z = -6

find the LCM, we have;

16 + 8z + 9z/3 = -6

cross multiply

16 + 17z = - 18

add the values

19z = -34

Make 'z' the subject

z =-2

Substitute the value

3w - 4z = 8

3w = 8 - 8

w = 0

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In this phase II study, researchers evaluated the effects of subcutaneous interleukin-2 (IL-2) in combination with medroxyprogesterone acetate (MPA) and antioxidants in advanced cancer patients who had responded to previous chemotherapy. The study aimed to assess the clinical outcomes, quality of life, and laboratory parameters in these patients.

To conduct the study, the researchers recruited advanced cancer patients who had previously shown a positive response to chemotherapy. These patients were administered subcutaneous IL-2, MPA, and antioxidants as part of the treatment.

The researchers then monitored various parameters to evaluate the effects of the treatment. Clinical outcomes, such as tumor response and overall survival, were assessed to determine the effectiveness of the treatment in controlling cancer progression. Quality of life measurements were used to evaluate the impact of the treatment on patients' well-being and daily functioning. Additionally, laboratory parameters were measured to assess any changes in patients' blood count, liver function, and kidney function.

By analyzing the data obtained from the study, the researchers aimed to determine the efficacy and safety of the combination treatment in advanced cancer patients who had previously responded to chemotherapy. The findings of this phase II study can contribute to our understanding of potential treatment options for this specific patient population.

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The difference between the fastest boy's time and the slowest boy's time can be found by comparing their respective times and calculating the difference.

To determine the fastest and slowest times among James, Gilbert, Matthew, and Simon, we examine their recorded times: 2/3, 11/12, 5/6, and 7/12.

To compare these fractions, we need to find a common denominator. In this case, the least common multiple of the denominators 3, 12, 6, and 12 is 12.

Converting the fractions to have a denominator of 12, we get:

James: 2/3 = 8/12

Gilbert: 11/12 (already in terms of 12)

Matthew: 5/6 = 10/12

Simon: 7/12 (already in terms of 12)

Now, we can clearly see that the fastest time is 8/12 (James) and the slowest time is 11/12 (Gilbert).

To find the difference between these two times, we subtract the slowest time from the fastest time:

8/12 - 11/12 = -3/12 = -1/4

Therefore, the difference between the fastest boy's time and the slowest boy's time is -1/4, or in other words, the fastest boy is 1/4 of a unit of time faster than the slowest boy.

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Answer:

B- 168 people

Step-by-step explanation:

300 * .56 is how you would get 56% (or the amount of car owners preferring four car doors) of the sampled population!

That equals 168 people.

Answer:

Step-by-step explanation:

It would be 56% of 300:

Correct choice is B

Answer:0

Step-by-step explanation:

The initial mass of 48Sc in the sample is 1.5115 g, and its decay rate is 401.17 decays per hour. After 147 hours, the remaining mass of 48Sc is 1.15 g.

Explanation:

The decay rate of a radioactive nuclide is proportional to the number of radioactive atoms present in the sample. We can calculate the initial mass of 48Sc by using its atomic mass and the Avogadro constant. The decay rate is given as 401.17 decays per hour, indicating the number of decays occurring in one hour. By multiplying the decay rate by the half-life of 48Sc (43.7 hours), we can determine the number of decays that have occurred in 147 hours.

This can then be used to calculate the remaining mass of 48Sc using the initial mass and the decay constant.

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The statement "the standard deviation is equal to the square of the variance" is False.

In statistics, both the standard deviation and the variance are measures of variability or dispersion within a dataset.

However, they are distinct measures and not equal to each other.

The variance (σ²) is the average of the squared deviations from the mean.

It is calculated by summing the squared differences between each data point and the mean, and then dividing by the total number of data points. The variance is expressed in squared units of the original data.

On the other hand, the standard deviation (σ) is the square root of the variance.

It represents the average amount of deviation or dispersion of data points from the mean.

By taking the square root of the variance, the standard deviation is expressed in the same units as the original data, making it more interpretable and easier to compare across different datasets.

In summary, the standard deviation is not equal to the square of the variance. Rather, it is the square root of the variance.

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Answer: Are you asking for slope?

Step-by-step explanation:

8-0 = 8

7-(-8) = 15

8/15