Convert the given polar
coordinates into rectangular
coordinates.
(4,4)=([?],[√

Answer:

5 ft

Step-by-step explanation:

Use Pyth theorem

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 25

b = 5

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The mean score for the test is 80.

We have,

To find the mean score for the test, we can use the relationship between the mean, the standard deviation, and the z-score.

The formula for the z-score is:

z = (x - μ) / σ

Where:

z is the z-score,

x is the given score,

μ is the mean, and

σ is the standard deviation.

In this case, we know that Cathy's score (x) is 74 and it is 1 standard deviation below the mean (z = -1).

The standard deviation (σ) is given as 6.

Plugging these values into the z-score formula, we can solve for the mean (μ):

-1 = (74 - μ) / 6

Multiplying both sides by 6:

-6 = 74 - μ

Rearranging the equation:

μ = 74 + 6

μ = 80

Thus,

The mean score for the test is 80.

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The required kinetic energy is KE = 12mv2

The kinetic energy when an object with mass m starts its motion in one dimension from the origin with speed v and reaches x-point can be calculated using the formula for kinetic energy:KE=12mv2,

where m is the mass of the object and v is its velocity.In this scenario, we know the mass of the object and its initial velocity.

We also know that the object will reach a certain x-point.Let's assume that the object experiences no external forces that might change its kinetic energy.

Then the main answer will be:KE = 12mv2.

The kinetic energy of the object is directly proportional to the square of its velocity and its mass. Therefore, if the mass of the object or its velocity changes, so will its kinetic energy.

In conclusion, when an object with a mass m starts its motion in one dimension from the origin with speed v and reaches a certain x-point, the kinetic energy of the object can be calculated using the formula KE=12mv2.

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SOLUTIONS

Using the Pythagoras theorem

opposite = x

hypotenuse = 10

Final answer = 6

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

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The answer of the given question based on the area of kite is ,  the area of the kite is 60unit².

A diagonal is a straight line connecting two non-adjacent vertices of a polygon or a polyhedron. In other words, it is a line segment that connects two corners of a shape that are not next to each other.

Diagonals play an important role in geometry, as they can be used to determine various properties of shapes. For instance, the length of the diagonal of a rectangle can be used to find its area and perimeter, and the length of the diagonal of a cube can be used to find its volume and surface area.

To find the area of a kite, we need to know the lengths of its two diagonals. Let d1 and d2 be  length of  two diagonals of  kite.

In this case, we know that the two diagonals have lengths 15 and 8. Let's label them as d1 = 15 and d2 = 8.

The area of kite can be calculated using formula:

Area = (1/2) x d1 x d2

Substituting  values of d1 and d2, we will get:

Area = (1/2) x 15 x 8

Area = 60

Therefore, the area of the kite is 60unit².

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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

Answer:

2+2=4

Step-by-step explanation:

Two-tailed because there is no predicted direction of the difference. The correct answer is D.

In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.

A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.

Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.

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Answer:

3 hours and 35 minutes

Step-by-step explanation:

4 to 7 is 3 hours and then add at the 35 minutes

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

\(\frac{|approx-exact|}{exact}\cdot100\).

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

\(\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94\)

Hope this helped!

divide the number of teeth on the gear wheel by the number of teeth on the pinion to get gear ratio. In this case, the gear ratio is 4. To simplify, divide both numerator and denominator by their greatest common divisor (GCD). The question mentions a 30% water and milk mixture, but lacks specific information or questions.

A) To determine the gear ratio, we need to divide the number of teeth on the gear wheel by the number of teeth on the pinion. In this case, the gear wheel has 200 teeth and the pinion has 50 teeth.

Gear Ratio = Number of teeth on gear wheel / Number of teeth on pinion
           = 200 / 50
           = 4

So, the gear ratio is 4.

To reduce the ratio to its simplest form, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, 4 is already in its simplest form, so we don't need to reduce it further.

b) The question seems to be incomplete. It mentions that there is a mixture of water and milk that is 30%, but there is no specific information or question related to it. If you have any specific question about the mixture, please provide more details so that I can assist you better.
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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

\(= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}\)

= 11565 km

Answer:

C. 24,000

Step-by-step explanation:

According to the table, 8000 homes of 100,000 are predicted to have 4 or more telephones

From the table, we have the following parameters:

So, the probabilty that a home has 4 or more telephones  is:

P = 12/150

In a community of 100,000 homes, the expected number of homes that has 4 or more telephones is:

E(x) = 12/150 * 100,000

Evaluate

E(x) = 8000

Hence, 8000 homes are predicted to have 4 or more telephones

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Answer:

It's an irrational number

Step-by-step explanation:

Yes, 8.141141114 is not a rational number . it is a irrational number .generally we can find out a number is rational or irrational by seeing the number. If mentioned number were 8.141141141 then It would be a rational number because after point number 141 is repeated. Hence,Mentioned number is not look like that. so, it is a irrational number

Answer:

I am solving this Question since morning but I am not able to complete

Answer:

1

Step-by-step explanation:

LOL

Answer:

1+1-1=1

Step-by-step explanation:

1+1=2

2-1=1

your answer is 1

Answer:

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

The correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

A line can be defined as a mark with length and direction, that is created by a point that is moving across a surface. Also, a line can vary in length, width, direction, curvature, and color.

A line segment can be defined as the part of a line in a geometric figure that is bounded by two distinct points (end points) and it typically has a fixed length.

In Geometry, a line can be named by using two (2) points on the line in conjunction with the letters associated with it. In this context, the correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

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Answer: m= -1/7

Step-by-step explanation:

Answer:

a = 2.1

b = 1.75

Step-by-step explanation:

5a - 2b = 7

5a + 2b = 14

Combine the equation, we get

10a = 21

a = 2.1

Now put 2.1 in for a and solve for b

5(2.1) - 2b = 7

10.5 - 2b = 7

-2b = -3.5

b = 1.75

Let's Check

5(2.1) - 2(1.75) = 7

10.5 - 3.5 = 7

7 = 7

So, a = 2.1 and b = 1.75 is the correct answer.

Answer:

The error is in the second line.

x = -1

Step-by-step explanation:

When solving for "x", you are trying to isolate it, or move everything else to the other side. You may have learned that "what you do to one side, you do to the other" .

2x + 18 = 16

2x = 34               18 was added to the right side, but not to the other.

If you add 18 on both sides, then the equation would be:

2x + 36 = 34       "x" is not being isolated.

Instead, you should subtract 18 from 16.

Correct solutions steps:

2x + 18 = 16

2x + 18 - 18 = 16 - 18     Subtract 18 from both sides to cancel out 18

2x = -2

2x/2 = -2/2                     Divide both sides by 2

x = -1                              Final answer

Answer:

Yes dentro as options out not is me viking one produtions

\(14 \frac{4}{9}\) inches of ribbon will be left over.

Creating equal groupings or determining how many people go into each group after a fair distribution is the basic objective of division. Multiply the first percentage by the equivalent of the other to equal the quadratic formula. They factor everything and search for common traits after rewriting the partition as multiple of the first statement by the opposite of the latter.

Selena has a 130-inch-long ribbon in her possession.

If she strives to make 9-inch bracelets,

ribbon will be left over = 130/9

= \(14 \frac{4}{9}\)

In the end, Selena will have  \(14 \frac{4}{9}\) a ribbon left with her.

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There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38