5sin(tetha)-r=6 cos(tetha) the equation in the cartesian coordinates is 5X-6 y=(x2 + y2)
5x+6y=(x2+ y2)) 5y+6 x=(x2 + y2)2 None of the others 5 y-6 x=(x2+y2)2

9514 1404 393

Explanation:

∠MRQ ≅ ∠NQR . . . . given

QR ≅ RQ . . . . reflexive property

∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR

ΔQNR ≅ Δ RMQ . . . . ASA postulate

Answer:

b

Step-by-step explanation:

Answer:

2x+y=-6,

as y=X+3,

2x+X+3=-6

3x =-6-3

x =-9÷3

x =-3

y=x+3

y=-3+3

y=0

(-3,0)

B (-3,0)

Answer:

Sorry can't help

Step-by-step explanation:

:p

Answer:

no it can not

Step-by-step explanation:

It is to short

Step-by-step explanation:

All integers are rational number, so yes -93 is rational.

Distance changing at rate of 3.94 inches/sec.

Given,

In the question:

The wall is decreasing at a rate of 9 inches per second.

and this distance is currently 61 inches.

The ladder is 152 inches long.

To find out how fast is the distance changing

Now, According to the question:

we know that

h² + b² = L²   …1

h² + b² = 152²

Apply here derivative w.r.t. time

2h dh/dt + 2b db/dt = 0

h dh/dt + b db/dt = 0

db/dt = - h/b × dh/dt     ….2

Height of distance is currently = 61 inches

Substitute the values

h² + b² = L²

61² + b² = 152²

b² = 19383

b = 139.223

and ,we know dh/dt = -9 inch/sec

From equation 2

db/dt = -61/139.223  (-9)

db/dt = 3.94 inches/sec

Hence, Distance changing at rate of 3.94 inches/sec.

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Probability: P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults).

The probability that a randomly chosen young adult has some education beyond high school but not a bachelor's degree would be:

P(education beyond high school but not a bachelor's degree) = (number of young adults with education beyond high school but not a bachelor's degree) / (total number of young adults)

where "number of young adults with education beyond high school but not a bachelor's degree" refers to the count of individuals in the population who meet this criteria, and "total number of young adults" refers to the count of all individuals in the population who are considered young adults.

The formula calculates the probability of a certain event by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event is a randomly chosen young adult having some education beyond high school but not a bachelor's degree. The numerator, "number of young adults with education beyond high school but not a bachelor's degree," represents the favorable outcomes, while the denominator, "total number of young adults," represents all possible outcomes.

By dividing the favorable outcomes by the total number of possible outcomes, we get the probability of the event occurring, which is a value between 0 and 1. The closer the value is to 1, the higher the probability that the event will occur. The closer the value is to 0, the lower the probability that the event will occur. This formula allows us to quantify the likelihood of an event occurring in a population based on the available data.

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Answer:

216 bats will be female

Step-by-step explanation:

First, you set it up for a cross multiply

9        =        486

4                    x

We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.

   9x = 1944

    x= 216

So 216 bats will be female

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Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

To calculate the probability of a project being completed by the end of period 149, we need to use the PERT distribution and z-scores.

The PERT (Program Evaluation and Review Technique) analysis provides three parameters: the optimistic duration (a), the most likely duration (m), and the pessimistic duration (b). From these parameters, we can calculate the expected value (µ) and standard deviation (σ) using the following formulas:

µ = (a + 4m + b) / 6

σ = (b - a) / 6

In this case, the expected value (µ) is 140 periods, and the standard deviation (σ) is 5.4 periods.

To calculate the probability, we need to find the z-score, which represents the number of standard deviations a value is from the mean. The formula for z-score is:

z = (x - µ) / σ

In this case, x represents the end period we are interested in, which is 149. Substituting the values into the formula:

z = (149 - 140) / 5.4

Calculating the z-score, we get z ≈ 1.67.

Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of 1.67. The probability is approximately 0.9525, or 95.25%.

The probability that the project will be completed by the end of period 149, based on the PERT analysis with an expected value of 140 periods and a standard deviation of 5.4, is approximately 95.25%.

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Answer:

do you have answer choices or is this just fill in the blanks ?

Answer:

6

Step-by-step explanation:

The verticle line in the box is the median

Answer:

Mean: 6.6

Mode: 5

Median: 5.5

Answer:

\(6/17\)

Step-by-step explanation:

I assume you want the question in the picture solved as your written question is different but appears to be copied and pasted from the text.

1. When adding fractions the denominator (number on the bottom) must be the same between the two fractions, i.e. having a common denominator. In this case they are already the same, that is, 17 and 17. Just add the top numbers (numerators) together, and leave the denominator the same. So,

\(\frac{3}{17} +\frac{3}{17} =\frac{6}{17}\)

Answer:

Step-by-step explanation:When the highest exponential in an equation or expression is square(²) then it is quadratic

Answer:

2.

What is the probability of the youngest four members of a 15-member choir being randomly selected for a group of four singers?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

vertex : (3, -3)

maximum

Answer:

Letter A. (First picture)

Step-by-step explanation:

If the tempature rose 15 degrees you will have an arrow going up 15 degrees first. Then if it dropped it will drop 15 degrees hence it would be back at 0

Answer:

the first picture so letter A

Step-by-step explanation:

Answer: it’s the square root of 10

Step-by-step explanation: I took this test

Answer:\(\sqrt{74}\)

Step-by-step explanation:

Accοrding tο the given data, it appears that he is cοrrect in making the stem-and-leaf plοt.

A stem-and-leaf plοt is a graphical display that shοws the distributiοn οf a set οf data values. In a stem-and-leaf plοt, the digits οf each data value are separated intο twο parts: the stem and the leaf. The stem cοnsists οf the leftmοst digits οf each data value, and the leaf cοnsists οf the rightmοst digit.

Tο create a stem-and-leaf plοt fοr the given data:

Identify the stems: the tens digit οf each data value.

The stems fοr the data are: 2, 2, 4, 4, 4, 5, 5, 5, 5.

Write the stems in a cοlumn frοm smallest tο largest.

Write the leaves fοr each data value next tο its stem. The leaves are the οnes digit οf each data value.

The leaves fοr the data are: 5, 6, 2, 4, 7, 0, 1, 5, 5.

The cοmpleted stem-and-leaf plοt lοοks like:

Stem-and-leaf plοt:

  2 | 5 6

  4 | 2 4 7

  5 | 1 0 5 5

Frοm this stem-and-leaf plοt, we can see that the data values range frοm 25 tο 55, and that there are nο apparent errοrs in the plοtting οf the data.

Therefοre, it appears that he is cοrrect in making the stem-and-leaf plοt οf the given data.

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Answer:

Step-by-step explanation:

Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.

The probability that the resulting total is even or greater than 10 is 7/12.

Given that, two fair, six-sided dice are rolled.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, sample space of two dice is

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Number of favorable outcomes = 18

Total number of outcomes = 36

Probability of getting the total is even = 18/36

= 1/2

Number of favorable outcomes = 3

Probability of getting the total is greater than 10 = 3/36

= 1/12

So, probability is 1/2 + 1/12

= 6/12 + 1/12

= 7/12

Therefore, the probability that the resulting total is even or greater than 10 is 7/12.

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The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.

The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:

V = 2π ∫[a,b] x * f(x) dx

In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).

Let's analyze the options provided:

A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy

B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy

C. π ∫[1,2] (2 - (2x - 2))^2 dy

D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy

Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.

Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.

Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.

Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.

Therefore, the correct option is B:

V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.

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Answer:

The equation for this picture(graph) is:

y = -x+3

Slope: Rise/run

= 3/3

= 1

= -1 (negative because the slope is decreasing).

Y-intercept is where the line touches the y-axis

Answer: It would be 4.8

Step-by-step explanation: Each side of a square is equal, there's 4 sides in a square, so you multiply 1.2 by 4. That should give you the perimeter.

Answer:

200.96 units^2

Step-by-step explanation:

50.24/Pi = 16 (diameter)

16/2=8 (radius)

area = Pi(r^2)

area = 3.14(8^2) = 200.96 units^2

Answer:

The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.

Step-by-step explanation:

Answer: The square root of a negative number is an imaginary number. The square root of -100 is 10i where i is the imaginary unit. Therefore, there is no real number that can be added to another real number to get an imaginary number like 10i.

Answer:

the answer would be 14.142

Step-by-step explanation:

we are going to be using the pythaagorean theroem for this, since we know the shape is a square, that means all the sides are the same.

have a nice day.

Answer:

2055 is the answer.

Step-by-step explanation:

If x represents the number of minutes and y represents the hiker elevation in feet.

y = 8.19x + 663

y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3

Hope it helps:)

Answer:

:)

Step-by-step explanation: