OVE
5 miles is how many kilometers?
Hint: 1 mi 1.6 km
Round your answer to the nearest tenth.

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

2/5

Step-by-step explanation:

40 divided from 20100 divided by 20 is 25

Answer:

2/5

Step-by-step explanation:

40/100

factor

(2*2*2*5)/(2*2*5*5)

cross off like factors

2/5

The inequality of the third side is 2 < x < 30

From the question, we have the following parameters that can be used in our computation:

Sides = 14 and 16

Using the triangle inequality theorem, we have

a + b > c

Substitute the known values in the above equation, so, we have the following representation

14 + 16 > x

14 + x > 16

16 + x > 14

Evaluate the like terms

30 > x

x > 2

x > -2

Remove the negative and combine the results

2 < x < 30

Hence, the inequality is 2< x < 30

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Answer:

give the full questions

Answer: slope is -1/3

a parallel line answer is below

Step-by-step explanation:

3x+9y=12 can be automatically rewritten as 9y=-3x+12 but the proper form is y= (−1/3)x +(4/3)

to find a parallel line to another slope, you must keep the slope and change the y intercept.

so for example:

y= -1/3x + 4 would follow this rule

but really you can change the y intercept to anything reasonable

Answer:

463×10³

463×1000

=0.463

Answer:

s = 8

Step-by-step explanation:

18 × s =12 × 12

18s = 144

dividing both sides of the equation by 18 gives

s =144/18

s = 8

Answer:

Cot θ is equal to 1/2.

To find cot θ, we need to use the given information:

csc θ = √(5/2)

tan θ = 0

We can use the reciprocal identities and the Pythagorean identity to find cot θ.

Reciprocal Identity:

csc θ = 1/sin θ

Pythagorean Identity:

\(sin^2\) θ + \(cos^2\)θ = 1

Given that csc θ = √(5/2), we can find sin θ:

1/sin θ = √(5/2)

sin θ = 2/√5

Using the Pythagorean identity, we can find cos θ:

\(sin^2\) θ + \(cos^2\) θ = 1

\((2/√5)^2\)+ \(cos^2\) θ = 1

4/5 + \(cos^2\) θ = 1

\(cos^2\) θ = 1 - 4/5

\(cos^2\)θ = 1/5

cos θ = ±√(1/5)

Now, we can find cot θ:

cot θ = cos θ / sin θ

Since tan θ = 0, it means that sin θ is not equal to 0, as tan θ = sin θ / cos θ. Therefore, we can use the positive value of cos θ.

cot θ = (√(1/5)) / (2/√5)

cot θ = (√5/√5) / (2/√5)

cot θ = 1/2

Therefore, cot θ is equal to 1/2.

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Answer:

No, The line x = 3 is not parallel to the line y = 1/3

Step-by-step explanation:

Here's What the graph looks like on Demos graphing calculator.

High Hopes^^

Barry-

The equation describing the intersection of the sphere with the plane z = 9 is (x+8)^2 + (y-4)^2 = 15.

To find the equation of the sphere centered at (-8,4,8) with radius 4 and the intersection with the plane z = 9.

Step 1: Find the equation of the sphere. The general equation of a sphere is (x-a)^2 + (y-b)^2 + (z-c)^2 = r^2, where (a, b, c) is the center of the sphere and r is the radius. In this case, the center is (-8, 4, 8) and the radius is 4. So, we have:

(x+8)^2 + (y-4)^2 + (z-8)^2 = 16

Step 2: Find the intersection of the sphere with the plane z = 9. Since the plane is given by z = 9, we can substitute 9 for z in the equation of the sphere:

(x+8)^2 + (y-4)^2 + (9-8)^2 = 16

This simplifies to:

(x+8)^2 + (y-4)^2 + 1 = 16

Now, move the constant term to the other side of the equation:

(x+8)^2 + (y-4)^2 = 15

So, the equation describing the intersection of the sphere with the plane z = 9 is (x+8)^2 + (y-4)^2 = 15.

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Answer:

This system of equations has no solution since the first one says:

x

2

−

y

=

8

while the second one gives us:

x

2

−

y

=

−

(

y

−

x

2

)

=

−

0

=

0

and  

8

≠

0

Step-by-step explanation:

To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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Answer:

Step-by-step explanation:

To find the lower, middle, and higher quartiles of the given data set, we need to first order the data from lowest to highest:

5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 19

The total number of values in the set is 12, so the middle value (or the median) will be the average of the 6th and 7th values:

Median = (9 + 10) / 2 = 9.5

To find the lower quartile (Q1), we take the median of the lower half of the data set, which includes the first six values:

Lower half: 5, 6, 7, 8, 9, 10

Q1 = median of the lower half = (7 + 8) / 2 = 7.5

To find the higher quartile (Q3), we take the median of the upper half of the data set, which includes the last six values:

Upper half: 12, 14, 15, 17, 18, 19

Q3 = median of the upper half = (15 + 17) / 2 = 16

Therefore, the lower quartile is 7.5, the middle quartile is 9.5, and the higher quartile is 16.

Answer:

90 Square Yards

Step-by-step explanation:

To find the area of a rectangle, all you do is multiply the length by the width.

in your equation, the length is 15 and the width is 6.

And 15 x 6 = 90, so the answer is 90 Square Yards.

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

b

Step-by-step explanation:

Answer:

15

----

153

15=6+3+1

153=18×17÷2

Answer:

For A, I'd probably say 10. Then again, I'm not sure

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

300 multiplied by 0.8 because the decimal form of 80% is 0.8

Answer: undefined

Step-by-step explanation:

Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:

(12 - 16)/(-13 - - 13) = -4/0

We can’t have a denominator of zero, so this is undefined.

Answer:

y = -5/2x - 4

Step-by-step explanation:

When given a point and a slope, we use slope-intercept formula:

y - y1 = m (x - x1)

m = slope  point: (-2,1)

y - y1 = m (x - x1)

y - 1 = -5/2 (x - (-2))

y -1 = -5/2x - 5

 + 1          + 1

y = -5/2x - 4

To check our answer, I attached the graph.

Hope this helps!

An undefined equation can be one where the denominator is 0.

SO here in the option d,

This expression is undefined. All the other expressions can be solved.

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Hope this helps!

Answer:

0.38

Step-by-step explanation:

0×x=0.3 bexuse the angle need works

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

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Answer: 98.6

Step-by-step explanation:

5.8 can be broken down into 5 & 0.8

17 timed 5 = 85

17 timed 0.8 = 13.6

85+13.6 = 98.6

The mode is the category with the highest frequency in the distribution.

In a dataset or distribution, the mode refers to the value or category that appears most frequently. It represents the peak or most common observation in the dataset. Unlike the mean and median, which are measures of central tendency, the mode focuses on the frequency or occurrence of specific values or categories.

For example, if we have a dataset of test scores: 85, 92, 78, 92, 77, 85, 90. In this case, the mode would be 92 since it appears twice, which is more frequently than any other value.

In categorical data, the mode refers to the category or group with the highest frequency or count. For example, if we have a dataset of favorite colors: red, blue, green, blue, blue, yellow, green. In this case, the mode would be blue since it appears more frequently than any other color.

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Answer:

B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.

Answer:

B) {x : 2 \(\leq\) x \(\leq\) 8 }

Step-by-step explanation:

The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is

2 \(\leq\) x \(\leq\) 8