In triangle PQR , the measure of angle Q is three times the measure of angle . The measure of angle R is 20⁰ more than the measure of angleP . Find the measure of each angle.

c. Which method of solving looks easier for this problem?

The hot or cold, and they can be served in a variety of containers, including cups, bottles, and cans.

There is no sample size or other information provided in the question, so the probability of 45 or more people in the sample having consumed alcoholic beverages cannot be calculated. More information is needed to solve this problem.What is probability?Probability is a branch of mathematics that deals with calculating the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. A probability of 0.5 represents a 50% chance of the event occurring. Probability is used in a variety of fields, including statistics, finance, and engineering.What are beverages?Beverages are drinks that are intended for human consumption. Beverages come in a variety of types, including alcoholic and non-alcoholic. Beverages can be made from a variety of ingredients, including water, fruit juice, and milk. They can be hot or cold, and they can be served in a variety of containers, including cups, bottles, and cans.

Leran more about Served

brainly.com/question/15924044

#SPJ11

The relative rate of change f′(t)/f(t) at t=1 can be found by first calculating the derivative of the function f(t) and evaluating it at t=1.

f(t) = ln(t^2 - 1)

f'(t) = 2t / (t^2 - 1)

f'(1) = 2 / (1^2 - 1) = 1

Next, we can evaluate f(1) and use the formula for relative rate of change:

f(1) = ln(1^2 - 1) = ln(0) = undefined

Therefore, the relative rate of change f′(1)/f(1) cannot be calculated.

The function f(t) is undefined at t=1 because ln(0) is undefined. This means that we cannot calculate the value of f(1) and hence, cannot determine the relative rate of change f′(1)/f(1).

This is an example of a situation where the relative rate of change cannot be determined due to the function being undefined or having a singularity at the point of interest.

It is important to be aware of such situations when dealing with calculus and to check for any potential issues with the function or point of interest before attempting to calculate the relative rate of change.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Answer: B. 7

The ratio of the two triangles indicates that BOY is 1/2 the size of GRL. Therefore, the ratio of the sides of the triangles is also 1:2. Since the length of BO is given as x + 3, this means that the length of GR must be 2(x + 3) - 1 = 2x + 5. Therefore, the length of GR is 7.

A Colorado blue spruce's first ten years have an average diameter of 0.62 inches.

Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. Measure the diameter of the tree in its first ten years and divide it by 10 to determine the average diameter of a Colorado blue spruce in its first ten years. The outcome is the tree's average diameter during its first ten years. For instance, if a Colorado blue spruce is five years old, you would calculate its diameter and multiply it by 10. You will then know the tree's typical diameter for the first ten years. Any age of Colorado blue spruce tree can use the same calculation. Depending on the age of the tree, a Colorado blue spruce's first ten years' average diameter will vary. The average diameter will be greater if the tree is older than ten years. The average diameter will be less, however, if the tree is less than 10 years old. In general, a Colorado blue spruce's first ten years have an average diameter of 0.62 inches.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Step-by-step explanation:

to answer the originated question first :

we know it is linear from the chart, because the function is a straight line.

we know it theoretically, when we look at x and y data pairs, and the change rate is the same constant for every x, y pair to each other.

the rate of change is also called "slope" or "incline". and it is described as ratio of "y coordinate change / x coordinate change".

it describes in fact how many units y changes, when x changes a certain amount of units (like 1).

having said all that, the most usual form as equation for such a line is the slope-intercept form.

y = ax + b

a is the slope of the line and always the factor of x.

b is the y-intercept (or the "initial value", as it is called here). it is simply the y value when x = 0.

we have 2 marked points on the line : (-2, 0) and (0, 3).

let's use them to find the slope.

going from the first to the second point

x changes by +2 (from -2 to 0).

y changes by +3 (from 0 to 3).

so, the slope (a) is +3/+2 = 3/2.

the initial value or y-intercept we get from the second point directly, as this is the point, where x = 0.

so, the initial value or y-intercept (b) is 3.

our line equation is

y = 3/2 x + 3 or 3x/2 + 3

now, we need to define a line with the same b but an a that is lower than 3/2.

since 3/2 is larger than 1, my choice for the new a would be 1 (lower than 3/2), because it is normally the easiest number to deal with.

so, the new line with lower change rate but the same initial value would be

y= x + 3

we could put it to some extreme and actually choose a = 0 (a change rate of 0).

our line equation would simply be

y = 3

this is a flat, horizontal line (parallel to the x-axis) that goes through y=3 on the y-axis.

as you can imagine, y never charged no matter what value we pick for x, so the change rate is 0. and clearly lower than 3/2.

your choice.

but how can you not know anything about this ? have you not been in the class ? but then you need to solve these questions ? that is not right.

I hope I could explain this now to you.

The solution to the exponential equation in this problem is given as follows:

x = (log(3) - log(2))/(12log(1.5)) + 0.25.

The exponential equation in this problem is given by the image shown at the end of the answer, as follows:

\(2\left(\frac{243}{32}\right)^{2x} = 3\left(\frac{8}{27}\right)^{\frac{2}{3}x - 1}\)

The values can be simplified by their prime factors are follows:

Hence:

Then the equation, applying the multiplication of the powers, is given as follows:

\(2\left(\frac{3}{2}\right)^{10x} = 3\left(\frac{3}{2}\right)^{-2x + 3}\)

Applying logarithm properties, the solution is:

log(2) + 10xlog(1.5) = log(3) + (3 - 2x)log(1.5)

(12x - 3)log(1.5) = log(3) - log(2)

12x - 3 = (log(3) - log(2))/log(1.5)

x - 0.25 = (log(3) - log(2))/(12log(1.5))

x = (log(3) - log(2))/(12log(1.5)) + 0.25.

The function is given by the image shown at the end of the answer.

More can be learned about exponential equations at https://brainly.com/question/27822382

#SPJ1

Psychologists theorize that the mean time on the test for non-schizophrenics (1) will be less than the mean time for schizophrenics (2).

We have two groups: schizophrenics and non-schizophrenics. The time spent on the psychological test is used as a measure of cognitive function.

Let's denote the mean time for schizophrenics as μ2 and the mean time for non-schizophrenics as μ1.

According to the psychologist's theory, they expect μ1 < μ2, meaning that the mean time for non-schizophrenics will be less than the mean time for schizophrenics.

This hypothesis can be tested using statistical analysis such as a t-test or a hypothesis test comparing the means of two independent groups.

Based on the psychologist's theory, they anticipate that the mean time on the psychological test for non-schizophrenics will be lower than the mean time for schizophrenics. Statistical analysis can be conducted to test this hypothesis and determine if there is evidence to support the theory.

To know more about psychological test, visit

https://brainly.com/question/10214707

#SPJ11

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

Answer:

False

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We are given that the expression

\(24x-60y\)

The factors of 24x is given by

1,2,3,4,6,8,12,24,x

The factor of 60 y is given by

1,2,3,4,5,6,10,12,15,20,30,60,y

We have to find the greatest common factor of 24x and 60y.

\(24x=1\times 2\times 3\times 2\times 2\times x\)

\(60y=1\times 2\times 2\times 3\times 5\times y\)

HCF(24x,60y)=\(1\times 2\times 2\times 3\)

HCF(24x,60y)=12

Hence, the greatest common factor of 24x and 60y=12

Answer:

A

Step-by-step explanation:

Only electrostatic fields i.e. fields generated by a static charge distribution, are conservative in nature. So, Electric field intensity is not conservative vector.

This theorem generally implies that if we integrate a "derivative-like function" (f′ or f), the results depend only on the values of the original function (f) at the endpoints. This is similar to the Fundamental Theorem of Calculus.

It is referred to be a conservative vector field if a vector field F is the gradient of a function,

F=f.

The formula for work: W = F · d . 2. Calculating work done when the force field is not constant Now we'll find the work done by a force field F(x, y) =〈x − y, x + y〉 in moving an object along the linear path d from (−2,−2) to (2,2), The force field and the path are shown below.

Green's Theorem states that a line integral around the boundary of the plane region D can be computed as the double integral over the region D. where the path integral is traversed anti-clockwise.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The work done by gradient vector field is independent of path..

Therefore,

Only electrostatic fields i.e. fields generated by a static charge distribution, are conservative in nature. So, Electric field intensity is not conservative vector.

Learn more about Green's Theorem visit :

brainly.com/question/24332269

#SPJ4

Answer:

Slope=2

Step-by-step explanation:

Slope=rise/run

We can start at 2, 3 (you can start anywhere on the line)

Then go to 3, 5 (you can end anywhere on the line)

Rise=2

Run=1

2/1=2

Slope is 2. The uses up there were examples. It doesn't have to be the exact points.

Slope

Answer:

1.D

2.C

3.C

4.B

Step-by-step explanation:

mark me as brainliest

Answer: 34.35 343.5 3.3450 3,435 34​

Step-by-step explanation:

they are already in order from left to right

Answer:

The following is the order of the numbers from least to greatest:

3.3450

34​

34.35

343.5  

3,435

Yellow shirt probability is 1/4, 0.25 and 25%

Answer:

b

Step-by-step explanation:

end of life

edge 2020

Answer:

b

Step-by-step explanation:

Answer:

60

Explanation:

the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:

(100 + 50 + 50 + 50 + 50) ÷ 5

= 300 ÷ 5

= 60

so, the average grade is 60.

i hope this helps! :D

Answer: $689.04

Step-by-step explanation:

The answer is A. $85.50

Answer:

Step-by-step explanation:

its a variable. this one represents x. a variable is something that represents an unknown value.

The number of ways prizes can be distributed is 30240. The probability of getting a all four green balls is 0.0038

a. Seven prizes are distributed to a group of 9 people. So the total number of combinations will be

ₙCr = n!/ r!(n-r)!

₉C₇ =9!/ 7! (9-7)1 = 36

Total permutations between the chosen 7. Each will get either first, second, third or fourth. So the total permutation can be

nPr = n!/(n-r)!

₇P₄ = 7!/(7-4)! = 840

So the total ways the prize can be distributed = 36× 840 = 30240

b. Number of white balls = 5

Number of red balls = 10

Number of green balls = 6

Total number of balls = 5+10+6 =19

The combination of choosing 4 balls from 19 = ₁₉C₄ = 3876

The combination for all four balls to be green = ₆C₄ = 15.

Probability = number of likely events/ Total number of events = 15/3876 = 0.0038

So the answer for question a is 30240 and for b is 0.0038.

For more information regarding probability, kindly refer

https://brainly.com/question/20316023

#SPJ4

Hence, there are 2,408 ways to place the blue king and the yellow king on an empty chessboard so that they do not attack each other.

To determine the number of ways to place a blue king and a yellow king on an empty chessboard such that they do not attack each other, we can consider the possible positions for the blue king.

Since there are 64 squares on a chessboard, we have 64 choices for the blue king's position. Once the blue king is placed, there are 49 remaining squares where the yellow king can be placed. However, we need to ensure that the yellow king is not in a position to attack the blue king.

If the blue king is placed on a corner square (4 corner squares available), then there are 8 squares adjacent to the blue king where the yellow king cannot be placed. Therefore, for each corner square placement of the blue king, we have 41 choices for the yellow king's position.

If the blue king is placed on a square along the edge of the board (24 edge squares available), then there are 11 squares adjacent to the blue king where the yellow king cannot be placed. So, for each edge square placement of the blue king, we have 38 choices for the yellow king's position.

If the blue king is placed on an inner square (36 inner squares available), then there are 12 squares adjacent to the blue king where the yellow king cannot be placed. Hence, for each inner square placement of the blue king, we have 37 choices for the yellow king's position.

Therefore, the total number of ways to place the blue king and the yellow king on the chessboard such that they do not attack each other is:

(4 * 41) + (24 * 38) + (36 * 37) = 164 + 912 + 1,332 = 2,408 ways.

To know more about ways,

https://brainly.com/question/30620566

#SPJ11

Answer:

1

Step-by-step explanation:

I know for sure

Answer:

 Slope = -18.000/2.000 = -9.000

 x-intercept = 1/9 = 0.11111

 y-intercept = 1/1 = 1.00000

You asked for the y-axis intercept:

y-intercept = 1/1 = 1.00000

If this was helpful, please mark brainliest. Have a beautiful day!

Answer:

Ez -3x+25

Step-by-step explanation:

4x+4-7x+21=

-3x+25

Brainliest plzzzz

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

In our example, the resulting expression will consist of 2 terms:

the first term is a product of  and .

the second term is a product of  and .

Answer:

1536/95

Step-by-step explanation:

The difference in length between a 1 1/4-inch bottom and a 3/8-inch bottom is 7/8 inches. To find the difference in length between a 1 1/4-inch bottom and a 3/8-inch bottom, we need to subtract the lengths of the two bottoms.

1 1/4 inches can be written as 1 + 1/4 inches, which is equal to 4/4 + 1/4 inches, resulting in 5/4 inches.

3/8 inch remains as 3/8 inch.

Now we can subtract the lengths:

5/4 inches - 3/8 inch

To subtract fractions, we need a common denominator. The least common denominator (LCD) of 4 and 8 is 8.

Converting both fractions to have a denominator of 8:

5/4 inches = (5/4) * (2/2) = 10/8 inches

3/8 inch remains the same.

Now we can subtract:

10/8 inches - 3/8 inch = (10 - 3)/8 inches = 7/8 inches.

Therefore, the difference in length between a 1 1/4-inch bottom and a 3/8-inch bottom is 7/8 inches.

to know more about length visit :

https://brainly.com/question/32060888

#SPJ11

She make 5 apple pie and 2 peach pie.

In the given statement is:

Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.

To find the how many of each pie did she make

Now, According to the question :

Let start the solution

Total number of slices made by Bonnie is 44

Let Number of apple pies be x

and, number of peach pies is (7 - x) ............(1)

Pieces of an apple pie is 6x

Pieces of peach pie = 7 (7 - x)

Calculation

6x + 7(7 - x) = 44

6x + 49 -7x = 44

-x = 44 - 49

-x = -5

x = 5

Put the value of x in equation (1)

7 - x = 7 - 5 = 2

She make 5 apple pie and 2 peach pie.

Learn more about Pies and slices at:

https://brainly.com/question/12267329

#SPJ4

9514 1404 393

Answer:

  A.  9.6

  B. √92 ≈ 9.59

Step-by-step explanation:

A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.

__

B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.