a point in rectangular coordinates is given. convert the point to polar coordinates (r > 0, 0 ≤ < 2). (round your answers to two decimal places.) (−6, 8)

Answer: for x=1, it would be y=50

Step-by-step explanation:

Answer: Function 1 is 45 and Function 2 is 50 I think

Step-by-step explanation:

Answer:

c = 6√2 cm

Step-by-step explanation:

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

108 = c²

c = ± √108 = ± 6√2

Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.

Answer:

72 cm or 6 square root of 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=72

c= 72 cm.  or 6 square root of 2

hope this helps.

Answer:

180 cards

Step-by-step explanation:

45x 4= 180

Answer:

d

Step-by-step explanation:

The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

ran throught a cal is

Step-by-step explanation:

Slope (m) =  

ΔY /ΔX =1/3 =0.33333333333333

Answer: I just took the test so the answer would be y=3,000x+12,000

Step-by-step explanation: hope this help thx for the points :D

Simplification form of the expression is -1.5x² after  plugging the values of a and b in the expression a²b

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

If a=-x and b=-1-5, then find the value of the a²b

Plug the values of a and b in the expression a²b

= (-x)²(-1.5)

= -1.5x²

Thus, simplification form of the expression is -1.5x² after  plugging the values of a and b in the expression a²b

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Answer: the population density is approximately 121.75 people/km^2.

Step-by-step explanation: Assuming a scenario whereby the island in question is entirely populated and encompasses a total expanse of 100 square kilometers, it follows that the resulting population density would be as follows:

The formula for population density can be expressed as the ratio of total population to a given geographic area. Mathematically, it is written as Population density = Population / Area.

The metric for measuring population density yields a value of 121.75 individuals per hectare.

The metric expressing the number of individuals residing in a given geographic area is referred to as population density. In this specific instance, the population density is calculated to be 121.75 persons per square kilometer.

Assuming a complete occupancy of the island and a cumulative surface area of 100 square kilometers, it can be posited that...

Sneha's current age is 16 years old. Sneha's mother is 44 years old.

Let's assume Sneha's current age is x.

Sneha's mother's current age = 2x + 12

After 8 years, Sneha's age = x + 8

After 8 years, Sneha's mother's age = 2x + 12 + 8 = 2x + 20

After 8 years, Sneha's mother's age will be 20 less than three times Sneha's age: 2x + 20 = 3(x + 8) - 20

Now we can solve for x:

2x + 20 = 3(x + 8) - 20

2x + 20 = 3x + 24 - 20

2x + 20 = 3x + 4

x = 16

Therefore, Sneha's current age is 16 years old.

Sneha's mother's current age = 2x + 12

= 2(16) + 12 = 44

So, Sneha's mother is 44 years old.

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Answer:

y = 9/6 x + 90

Step-by-step explanation:

1- Move the variable to the right

2- Change the signs

3- Divide both sides

4- Reorder the terms

Answer:

X'(-3,-5)

Y'(-3,-2)

Z'(-7,-2)

Step-by-step explanation:

Write the ordered pairs as a vertex matrix.

To rotate the ∆XYZ 90 degrees counterclockwise about the origin, multiply the vertex matrix by the rotation matrix and then you are done.

Answer:

168°

Step-by-step explanation:

                                          = (6 - 2) x 180.

                                           = 4 x 180 = 720°

Solution

graph the line perpendicular to Y=4 that passes through -6,3​

Since we have a horizontal line we can find the solution just with this:

X= -6

Answer: 2$

Step-by-step explanation:

If six lemonade are equal to 12$, then you have to divide 12$ by the number of lemonade.

12/6=2

The answer is that one lemonade equals 2$

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

The standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.

The normal distribution of height of men is approximately normal with mean 69.2 inches and standard deviation of sigma=2.5 inches

According to the empirical rule of probability, about 95% observations falls within two standard deviation of mean.

Therefore,

Lower bound=μ + 2×σ

=69.2 + 2×2.5

=69.2 + 5.0

Lower bound = 74.2

Upper bound = μ - 2 × sigma

=69.2 - 5

Upper bound = 64.2

2. The distribution of the heights of young men is approximately normal with mean μ = 69.2 inches and standard deviation of σ = 2.5

The standard score of height of 72 inches is calculated by:

z = (72-69.2)/2.5

z = 2.8/2.5

z = 1.12

Therefore the standard score for the distribution with mean at the height of 6 feet or 72 inches is 1.12.

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Answer:

47

Step-by-step explanation:

All the interior angles of a triangle add up to 180 degrees

Answer:

Step-by-step explanation:

The matching of exponential functions to table values involves matching both initial values and rate of growth. The value of a geometric series can be calculated from its formula, or can be shown by a calculator or spreadsheet.

The starting values of the two sequences are different, as are all of the starting values of the answer choices. Matching starting values is sufficient to identify which sum goes with which player.

The series ...

  \(\displaystyle S=\sum_{k=1}^n{AB^{k-1}}\)

gives the sum of a geometric sequence with first term A and common ratio B.

The first term of Erica's series is A=30. The ratio is B=42/30 = 1.4.

The first term of Marquis's series is 50. The ratio is B=75/50 = 1.5.

Using these values in the series formula, the total score after n rounds will be ...

  \(\displaystyle \text{Erica:}\quad \sum_{k=1}^n{30(1.4)^{k-1}}\qquad\text{matches Row 3}\\\\\text{Marquis:}\quad \sum_{k=1}^n{50(1.5)^{k-1}}\qquad\text{matches Row 2}\)

The explicit expression for these sums is ...

  \(S=A\dfrac{B^n-1}{B-1}\)

Then the total scores after 6 rounds are ...

  Erica: 30(1.4^6 -1)/0.4 = 489.7152

  Marquis: 50(1.5^6 -1)/0.5 = 1039.0625 . . . . . matches row 4

Then the required table gets filled in ...

__

Additional comment

The values in the attached table are total scores after each round. One must subtract the previous round's total to find the points scored in a given round.

The purpose of showing totals is to permit matching the value seen in Row 4 of the table.

Transformation involves changing the position of a point.

Original location

From the graph, the original position is:

\(G = (-4,3)\)

Reflection

The rule of reflection over the x-axis is:

\((x,y) \to (x,-y)\)

So, we have:

\((-4,3) \to (-4,-3)\)

So, the new point is:

\(G' = (-4,-3)\)

Rotation

The rule of 90 degrees clockwise rotation is:

\((x,y) \to (y,-x)\)

So, we have:

\((-4,3) \to (3,4)\)

So, the new point is:

\(G" = (3,4)\)

Translation

The translation rule of 4 units left and 3 units up is:

\((x,y) \to (x-4,y+3)\)

So, we have:

\((-4,3) \to (-4-4,3+3)\)

\((-4,3) \to (-8,6)\)

So, the new point is:

\(G"' = (-8,6)\)

See attachment for the original point and the transformed points

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Answer:

Speed of car most likely

Step-by-step explanation:

9 servings are there in 22.5 ounces of trail mix.

Given:

The weight of one serving of trail mix is 2. 5 ounces.

1 serving = 2.5 ounces

Number of servings = 22.5 ounces / 1 serving

= 22.5 / 2.5

= 225/10/25/10

= 225/25

= 9 servings.

Therefore 9 servings are there in 22.5 ounces of trail mix.

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The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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Answer:

100

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Chelsea can make 6 hamburgers with the meat she has.


- To find out how many hamburgers Chelsea can make with 0.90 pounds of meat, we need to divide the total amount of meat by the amount of meat needed to make one hamburger.
- According to the problem, Chelsea uses 0.15 pound of meat to make one hamburger.
- So we need to divide 0.90 (the total amount of meat) by 0.15 (the amount of meat needed for one hamburger).
- When we do the division, we get 6.
- This means that Chelsea can make 6 hamburgers with the meat she has.


To calculate the number of hamburgers that Chelsea can make with 0.90 pounds of meat, we need to use the information given in the problem and perform a simple division calculation.

Firstly, we know that Chelsea has 0.90 pounds of meat. This is the total amount of meat that she has available to make the hamburgers.

Secondly, we know that it takes 0.15 pound of meat to make one hamburger. This is the amount of meat needed for each individual hamburger.

To find out how many hamburgers Chelsea can make with the meat she has, we need to divide the total amount of meat by the amount of meat needed for each hamburger.

So, the calculation looks like this:

0.90 ÷ 0.15 = 6

This means that Chelsea can make 6 hamburgers with the meat she has.

In conclusion, the answer to the problem is that Chelsea can make 6 hamburgers with the 0.90 pounds of meat that she has available.

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Answer:

D.) or (2, -1)

Step-by-step explanation: