Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
Α.
99°
B
D
94%
C

Find M/ABC.A. 81B. 86C. 47D. 49.5.99BD94%C

Answers

Answer 1

m/ABC=86° (because of the cyclic quadrilaterals). Hence, Option (B) is correct.

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

m/ABC +  m/ADC  = 180°

m/ABC + 94° = 180°

m/ABC = 180° - 94°

m/ABC = 86°

Similarly, one can find m/DCB

m/DAB +  m/DCB  = 180°

99° + m/DCB = 180°

m/DCB = 180° - 99°

m/DCB = 81°

Hence, m/ABC = 86°

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Related Questions

What numbers are missing from the pattern below? Enter your answer, using
a comma to separate each number.
57, 53, 49, 45, ?, ?, ?, ?, 25, 21, 17, 13
Answer here

Answers

The numbers that are missing from the pattern are 41, 37, 33, and 29

How to determine the numbers that are missing from the pattern

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

57, 53, 49, 45, ?, ?, ?, ?, 25, 21, 17, 13

The above pattern is an arithmetic pattern that has the following features

First term = 57

Common difference = 4

using the above as a guide, we have the following:

Next term = 45 - 4 = 41

Next term = 41 - 4 = 37

Next term = 37 - 4 = 33

Next term = 33 - 4 = 29

Hence, the numbers that are missing from the pattern are 41, 37, 33, and 29

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I want to buy a house in 4 years. I need a down payment of $50,000. How much do I need to have today in order to have a down payment, if I can earn 3%?

Answers

To calculate the amount you need to have today in order to have a down payment of $50,000 in 4 years with an annual interest rate of 3%, you can use the concept of compound interest.

The formula to calculate the future value (FV) of an investment with compound interest is:

FV = PV * (1 + r)^n

Where:
FV = Future Value
PV = Present Value (initial investment)
r = Interest rate per period
n = Number of periods

In this case, you want to find the present value (PV), so we rearrange the formula:

PV = FV / (1 + r)^n

Plugging in the values:
FV = $50,000
r = 3% = 0.03
n = 4 years

PV = $50,000 / (1 + 0.03)^4
PV = $50,000 / (1.03)^4
PV = $50,000 / 1.1255
PV ≈ $44,444.44

Therefore, you would need to have approximately $44,444.44 today in order to have a down payment of $50,000 in 4 years, assuming an annual interest rate of 3%.

Kamila wants a puppy. She and her family want to estimate the mean lifespan, in years, of all dog breeds registered with the American Kennel Association. Kamila selects a random sample of 8 registered dog breeds and looks up their estimated lifespan on the internet. The results are shown. 13 11 12 14 12 10 11 12 Part A What is the mean for Kamila’s sample? Round your answer to the nearest tenth. The mean lifespan for dogs from Kamila’s sample is years.

Answers

Rounding to the nearest tenth, the mean lifespan for Kamila's sample is 11.9 years.

To find the mean (average) for Kamila's sample, you need to sum up all the lifespans and then divide by the total number of breeds in the sample.

Sum of lifespans = 13 + 11 + 12 + 14 + 12 + 10 + 11 + 12 = 95

Total number of breeds = 8

Mean = Sum of lifespans / Total number of breeds

= 95 / 8 = 11.875

Rounding to the nearest tenth, the mean lifespan for Kamila's sample is 11.9 years.

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The figure below is a net for a square pyramid. What is the surface area of the square pyramid, in square inches?

Answers

Answer:

183.89

Step-by-step explanation:

S = square area + area of 4 triangles =

7.1^2 + 4*0.5*9.4*7.1 = 183.89

Answer: your answer is 266.44 square inches

Explanation: Triangles:

6.1x7.6=46.36in

Each triangle is 46.36in

46.36x4=185.44in

Rectangle:

9x9=81in

The rectangle is 81in

All together:

185.44+81=266.44in

So the square is the easiest do 4×4=16

The triangles its just Base×Height/2 in that order so 4×3=12/2=6

Mulitply 6 by 4 because there's 4 triangles and add 16 so 6×4=24+16=40

Hope this helped:)

The area of the triangle below is 17.8cm^2.
work out the size of angle ∅, given that it is acute.
give your answer in degrees (°) to s.f.

Answers

Answer:

Set your calculator to Degree mode.

(1/2)(11.3)(5.2)(sin A) = 17.8

29.38sinA = 17.8

sin A = 890/1,469

A = sin^-1 (890/1,469) = 37.3°

A balloon rises 2,0000ft every 2 min which equation models the relationship between the time x and the distance from the ground y

Answers

Answer:

The equation that models the relationship between the time x (in minutes) and the distance y (in feet) from the ground is:

y = 2000x

This is because for every 2 minutes that go by (i.e. for every increase of x by 1), the balloon rises by 2000ft (i.e. a constant rate of change). So, the equation y = 2000x represents a straight line with a slope (rate of change) of 2000, passing through the origin.

There are 15 ushers and 9 technicians helping at the Harper Middle School fall play.

Answers

The ratio of technicians to all the helpers at the Harper Middle School fall play is 9 : 24.

What is the ratio of technicians to all the helpers at the Harper Middle School fall play?

The ratio of technicians to all helpers can be calculated by dividing the number of technicians by the total number of helpers.

the ratio of technicians to all helpers = number of technicians/number of helpers

Number of technicians = 9

Total number of helpers = 15 ushers + 9 technicians = 24

The ratio of technicians to all helpers = 9 / 24

The ratio will then be:

The ratio of technicians to all helpers =  9 : 24

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Complete question:

There are 15 ushers and 9 technicians helping at the Harper Middle School fall play. What is the ratio of technicians to all helpers?

Which of the following statements is true?

√9 is rational and √10 is rational.

√9 is irrational and √10 is irrational.

√9 is rational and √10 is irrational.

√9 is irrational and √10 is rational.​

Answers

Answer:

[tex]\sqrt{9}[/tex] is rational and [tex]\sqrt{10}[/tex] is irrational

Step-by-step explanation:

The square root of 9 is 3 and the square root of 10 is a decimal that never stops.

Final answer:

The square root of 9 (√9) is rational because it results in an integer, which can be expressed as a fraction (3/1). However, the square root of 10 (√10), yields an approximate decimal that cannot be precisely expressed as a fraction, hence is an irrational number. Thus the statement √9 is rational and √10 is irrational is true.

Explanation:

In Mathematics, a rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Irrational numbers are numbers that cannot be expressed as fractions.

The square root of 9 is √9, which equals 3. This can be expressed as a fraction (3/1), so √9 is rational.

However, the square root of 10 is √10, which equals to approximately 3.16227766017. This cannot be accurately expressed as a fraction, so √10 is irrational.

Therefore, the true statement among the options provided is: √9 is rational and √10 is irrational.

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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The interior angles of the trapezium is as follows:

∠P = 80°∠L = 100°∠N = 70°∠M = 110°

How to find the angle in a quadrilateral?

The sum of interior angles in a quadrilateral is 360 degrees. Therefore, the diagram above is a trapezium with 4 sides.

Let's find the measure of each interior angles

2x + 2x + 20 + 2x - 10 + 3x - 10 = 360

9x  = 360

divide both sides by 9

x = 360 / 9

x = 40

Therefore, each interior angles is as follows:

2x = 2(40) = 80 degrees

2x + 20 = 2(40) + 20 = 100 degrees

2x - 10 = 2(40) - 10 = 70 degrees

3x - 10 = 3(40) - 10 = 110 degrees

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HELPPP MEEE PLEASEE WITH THIS QUESTION

Answers

The values of x and y are given as follows:

x = 18.[tex]y = 6\sqrt{10}[/tex]

What is the geometric mean theorem?

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for this problem are given as follows:

2 and x.

The altitude is given as follows:

6.

Hence the length x is given as follows:

2x = 6²

2x = 36

x = 18.

Applying the Pythagorean Theorem, the length y is given as follows:

y² = 18² + 6²

y² = 360

[tex]y = \sqrt{36 \times 10}[/tex]

[tex]y = 6\sqrt{10}[/tex]

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A university professor and his students did a study to determine the mean length of bass in a lake. Each time a bass was caught, its length was measured in inches, and then it was released. The distribution of the lengths is shown in the graph below.

image
Based on this graph, which measurement represents the BEST estimate for the mean length of bass in the lake?

Answers

Based on this graph, a measurement which represent the best estimate for the mean length of bass in the lake include the following: 17 inches.

What is a mean?

In Mathematics and Statistics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean of a data set can be calculated by using the following formula:

Mean = [F(x)]/n

By critically observing the graph (histogram) shown in the image attached below, we can logically deduce that the distribution is symmetrical. This ultimately implies that, the mean length of bass in the lake would be in the middle, with an estimated value of 17 inches.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Complete Question:

A university professor and his students did a study to determine the mean length of bass in a lake. Each time a bass was caught, its length was measured in inches, and then it was released. The distribution of the lengths is shown in the graph below. Based on this graph, which measurement represents the best estimate for the mean length of bass in the lake?

12 inches

17 inches

20 inches

23 inches

..................................................................................................................

Answers

Answer:

(-3, -2)

Step-by-step explanation:

In terms of a scatterplot, an outlier is an individual data point that lies at an unusually extreme position relative to the other data points in the scatterplot.

To determine which of the given ordered pairs would be considered an outlier for the given scatterplot, plot the ordered pairs and observe how far away they are from the line of best fit.

After plotting the ordered pairs on the scatterplot (see attachment), we can see that point (-3, -2) is farthest away from the line of best fit. The other three points are very close to the line of best fit.

Therefore, (-3, -2) would be considered an outlier comparatively to the other ordered pairs.

Answer: Your answer is (-3, -2)

Step-by-step explanation: Outlier means the one that stands out in the bunch. So when you look at the coordinates of (-3, -2) you can see it is the farthest of the bunch. If you look at the other answers you can see that they are not as far away as (-3, -2)

Hi. Could someone please help me with this !!

Answers

Answer:

The slope is 5.

Hope this helps!

Step-by-step explanation:

( x, y )

( 6, 50 ) and ( 12, 80 )

[tex]\frac{80-50}{12 - 6} < = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{30}{6} = \frac{5}{1} = 5[/tex]

The slope is 5.

What is 35 degree angle in standard position?

Answers

After using ruler and following the steps described below

We get the standard position of 35 degree.

The given angle is = 35 degree

To draw standard position of angle:

We proceed it to draw by ruler

So, in order to get position,

Follow the following steps:

1: Draw a straight line with your ruler.

2: Place your protractor on the line and align the base of the protractor with the line.

3: Find the 35 degree mark on the protractor and make a small mark on the line at that point.

4: Move your protractor to the mark you just made.

5: Align the base of the protractor with the line and make another small mark on the line at the 35 degree mark.

6: Draw a straight line connecting the two points you just marked.

And there you have it! A 35 degree angle drawn on paper.

And after following these steps we get the standard potion angle 35 degree.

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Determine the solutions of a 2x2 system of linear equations given the augmented matrix representation

| 1 5 0 |
| 0 0 0 |

Answers

The general format of the solution to the system of equations in this problem is given as follows:

(x, -1/5x).

How to solve the system of equations?

Considering the augmented matrix for the system, the system of equations in the context of this problem is defined as follows:

x + 5y = 0.0x + 0y = 0.

The second equation is true for any ordered pair (x,y), hence the system has an infinite number of solutions.

The infinite number of solutions has the format given as follows:

x + 5y =  0

5y = -x

y = -x/5.

Hence the ordered pair is:

(x, -1/5x).

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Please help with this I am struggling bad thank you all

Answers

p = speed of the plain in still air

w = speed of the wind

when going headwind, the plane is not really going "p" fast, is really going slower, is going "p - w", because the wind is subtracting speed from it, likewise, when going with the wind the plane is not going "p" fast, is really going faster, is going "p + w", because the wind is adding its speed to it.

we also know that on the way over he flew 2000 miles and on the way back he flew again the same 2000 miles back.

[tex]{\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&2000&p-w&10\\ \textit{with the wind}&2000&p+w&8 \end{array}\hspace{3.5em} \begin{cases} 2000=(p-w)(10)\\\\ 2000=(p+w)(8) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{2000=(p-w)10}\implies \cfrac{2000}{10}=p-2\implies 200=p-w\implies \boxed{200+w=p} \\\\\\ \stackrel{\textit{using the 2nd equation}}{2000=(p+w)8}\implies \cfrac{2000}{8}=p+w\implies 250=p+w \\\\\\ \stackrel{\textit{substituting "p" from above}}{250=(200+w)+w}\implies 250=200+2w\implies 50=2w\implies \cfrac{50}{2}=w \\\\\\ \boxed{25=w}\hspace{10em}\stackrel{ 200+(25) }{\boxed{225=p}}[/tex]

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
a.
b.
5
-—; y(5) -
y-
125
7x²y(5) = 4
175
48
63
when x-3, find y when x = 5.
C.
d.
y=
7
4x²
(5) - 7
100
y = - 52+ (5)
5x²
125

Answers

a. The constant of variation is k = 45.

b. The equation for the relation is y = 45/x².

c. x = 5, y is approximately equal to 1.8.

d. The equation provided, y = -52 + (5)/(5x²), seems to be incorrect or incomplete as there are misplaced parentheses and missing values.

The constant of variation for the relation "y varies inversely as the square of x," we can use the general form of an inverse variation equation:

y = k/x², where k represents the constant of variation.

The given information, we have y = 5 when x = -3.

Substituting these values into the equation, we get:

5 = k/(-3)²

5 = k/9

k = 45

The constant of variation is k = 45.

The equation for the relation is y = 45/x².

To find y when x = 5, we can substitute the value of x into the equation:

y = 45/(5)²

y = 45/25

y = 1.8

x = 5, y is approximately equal to 1.8.

The equation provided, y = -52 + (5)/(5x²), seems to be incorrect or incomplete as there are misplaced parentheses and missing values. Please clarify the equation and I'll be happy to assist you further.

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N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R

Answers

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

SOMEONE HELP 45 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!! PLEASE
RIGHT ANSWER ONLY

If f(x) = 2x + 1 and g(x) = x − 2, find the quantity f divided by g of 7.

3
10
15
75

Answers

Answer:

3

Step-by-step explanation:

Step 1:  First, we must plug in 7 for x in f(x) and g(x):

f(7) = 2(7) + 1

f(7) = 14 + 1

f(7) = 15

g(7) = 7-2

g(7) = 5

Now, we can divide f(7) by g(7)

f(7) / g(7) = 15 / 5

f(7) / g(7) = 3

Thus, the quantity of f divided by g of 7 is 3

Multiply: (Hint - use one of the formulas)
(s - 3)³

Answers

The multiplication of the expression (s - 3)³ is determined as s³ - 9s³ + 27s - 27.

What is the product of the expression?

The product of the expression given as (s - 3)³ is calculated  as follows;

The given expression;

(s - 3)³, this can also be written as;

(s - 3)³ =  (s - 3) (s - 3) x (s - 3)

We will simplify the expression as follows;

(s - 3)(s - 3) x (s - 3)

= (s - 3)(s - 3) x (s - 3)

= (s² - 3s -3s + 9 )(s - 3)

= ( s² - 6s + 9 ) (s - 3)

= s³ - 3s² - 6s² + 18s + 9s - 27

= s³ - 9s³ + 27s - 27

Thus, the given expression can be simplified using binomial theorem or using simple multiplication method as shown above.

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she uses 3 inch by 3 foot strips of nylon. She will cut 12 separate peices. What are the side lengths of each piece? Round to the nearest tenth​

Answers

The solution is: 114 inches of wood, in inches, did Maya use in all.

Here, we have,

First, we must remember:

1 foot = 12 inches

Knowing that, let's solve the exercise:

• She made 5 strips, and in each one she used 14 inches of wood.

So, 5 * 14 = 70 inches

• 3 strips, each with 1 foot. So, 3 * 12 = 36 inches

• 4 strips, each with 1/6 foot. So, 4 * 2 = 8 inches

In all, she used 70 + 36 + 8 = 114 inches of wood.

Hence, The solution is: 114 inches of wood , in inches, did Maya use in all.

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complete question:

Maya cut a length of wood into strips to make 5 small picture frames. She used 4 inches of wood for each frame. For another project she cut another length of wood into 3 strips of 1 foot each and 4 strips of = foot 3 4 each. How much wood, in inches, did Maya use in all? Show your work.

Remove the parentheses from the following expression, and combine like terms: 4(ab²+1/₂c + x) - 2(c+x) A. 4ab² + 2x B. 4ab2 + 2x + C C. 4+abc2 + 2x D. 2ab²+2c + X ​

Answers

Answer:

A. 4ab² + 2x

Step-by-step explanation:

If you want to get rid of those pesky parentheses, you have to use the superpower of distributive property. It lets you multiply everything inside the parentheses by the number outside. For example:

4(ab²+1/₂c + x) = 4ab² + 2c + 4x

Boom! No more parentheses!

To combine like terms, you have to add or subtract the numbers in front of the terms that have the same variable and exponent. For example:

2x - 4x = -2x

Bam! Only one x left!

Here are the steps to simplify the expression:

4(ab²+1/₂c + x) - 2(c+x)

= 4ab² + 2c + 4x - 2c - 2x (use superpower)

= 4ab² + 4x - 2x (combine like terms)

= 4ab² + 2x (simplify)

So, the answer is A. 4ab² + 2x.

Help I don’t know this answer

Answers

Answer:

15*8*10-7*8*11=584

Step-by-step explanation:

Graph by completing the square x2-4x+y2-2y-4=0​

Answers

The graph will look like a circle centered at (2, 1) with radius 3.

To graph the equation [tex]x^2 - 4x + y^2 - 2y - 4 = 0[/tex]  by completing the square, we need to rearrange the terms as follows:

[tex](x^2 - 4x + 4) + (y^2 - 2y + 1) = 9[/tex]

This can be simplified to:

[tex](x - 2)^2 + (y - 1)^2 = 3^2[/tex]

So the equation represents a circle with a center at (2, 1) and a radius 3. To graph the circle, we can plot the center point (2, 1) and then draw a circle with radius 3 around that point.

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A 9-foot roll of plastic wrap costs $1.08. What is the price per inch?

Answers

The price per inch of the wrap is $0.01 or 100cent

What is word problem?

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For example, If the age of Roy is x what will be his age in five years time.

His age five years time will be x+5

9 foot roll cost $1.08

1 foot = 12 inches

9 feet = 9 × 12

= 108 inches

Therefore 108 inches = 1.08

1 inch = 1.08/108

= $0.01

= 100cents

therefore the price of the wrap per inch is $0.01 or 100 cent.

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Help Quickly! Find the slope of the line.

A. -1/3

B. -3

C. 3

D. 1/3

Answers

-1/3 hopefully that helps! <3

Math
Florida's B.E.S.T. Standards: Grade 8 GG.5 Make predictions 38C
Recommendations
Submit
times
Skill plans
4) If you spin the spinner 55 times, what is the best prediction possible for the number of
times it will not land on yellow?
You have prizes to r

Answers

Answer:

Assuming that the spinner is fair (i.e., each color has an equal chance of being landed on), we can find the best prediction for the number of times the spinner will not land on yellow by using probability.

There are 6 colors on the spinner, so the probability of the spinner landing on yellow is 1/6. The probability of the spinner not landing on yellow is therefore:

1 - 1/6 = 5/6

This means that for each spin of the spinner, there is a 5/6 probability that it will not land on yellow. If we spin the spinner 55 times, we can expect the number of times it will not land on yellow to be:

55 x 5/6 = 45.83

However, since we cannot have a fractional number of spins, we need to round to the nearest whole number. The best prediction for the number of times the spinner will not land on yellow is therefore 46.

100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!

Answers

The required exact value of cos(-10π/3) or cos(2π/3) is -1/2.

To find the exact value of the expression cos(-10π/3), we can use the periodicity and symmetry properties of the cosine function.

In this case, we have cos(-10π/3). Since -10π/3 is equivalent to 2π/3 radians (because it completes a full revolution plus an additional 2π), we can rewrite the expression as cos(2π/3).

Now, let's find the exact value of cos(2π/3).

In the unit circle, an angle of 2π/3 (or 120 degrees) is located in the second quadrant. In the second quadrant, the x-coordinate is negative.

Since the cosine function gives the x-coordinate of a point on the unit circle, we can conclude that cos(2π/3) is negative.

Therefore, the exact value of cos(-10π/3) or cos(2π/3) is -1/2.

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PLEASE HELP
Question 7 (5 points)
60°
a
30°
The triangle above has the following measures.
=10 yd
b=10√3 yd
Use the 30-60-90 Triangle Theorem to find the
length of the hypotenuse. Include correct units
Show all your work

Answers

A^2 + B^2 = C^2

100 + 300 = C^2

Sqrt(400) = 20


Y varies directly as x, and y=9 when x = 27

Answers

If y varies directly as x, when x = 15, the value of y is equal to 5.

If y varies directly as x, we can express this relationship using the formula y = kx, where k is the constant of proportionality.

Given that y = 9 when x = 27, we can substitute these values into the equation:

9 = k x 27

To solve for k, we divide both sides of the equation by 27:

k = 9 / 27

k = 1/3

Now that we know the value of k, we can use it to find y for any other value of x.

Let's find y when x = 15:

y = (1/3) x 15

y = 5

Therefore, when x = 15, y is equal to 5.

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The complete question:

Y varies directly as x, and y=9 when x = 27.

Find the value of y, when x =15.

Other Questions
According to Martin Luther King, how did Kennedy abandon Civil Rights? Given begin mathsize 18px style sin theta equals 2 over 5 end style, find begin mathsize 18px style cos theta end style if it is in the first quadrant. 0. 60. 840. 40. 92 let z = a bi and w = c di. prove the following property: ez ew = ez w . 6 How many moles of potassium nitrate (kno3) are produced when six moles of potassium phosphate? test the series for convergence or divergence. [infinity] n2 8 6n n = 1 The mass of a density bottle is 20g when empty, 70g when full of water and 55g when full of a second liquid. Calculate the density of the liquid briefly describe management, operational, and technical controls, and explain when each would be applied as part of a security framework. Lactic acid has a pka = 3.08, what is the pH of a solution that is initially 0.10M? 4.12 2.04 7.00 3.08 Use the following data to calculate the combined heat of hydration for the ions in an imaginary lonic compound: A Hattice = 635 kJ/mol, A Hon=98 kJ/mol Enter a number in kJ/mol to 1 decimal place. Q20Which excerpt from Kennedy's speech contains the logical fallacy of false equivalency? A. For I have sworn before you and Almighty God the same solemn oath our forbears prescribed nearly a century and three-quarters ago. (paragraph 1) B. And yet the same revolutionary beliefs for which our forebears fought are still at issue around the globe--the belief that the rights of man come not from the generosity of the state but from the hand of God. (paragraph 2) C. Let every nation know, whether it wishes us well or ill, that we shall pay any price, bear any burden, meet any hardship, support any friend, oppose any foe to assure the survival and the success of liberty. (paragraph 4) D. If a free society cannot help the many who are poor, it cannot save the few who are rich. (paragraph 8) find the general solution of the given system. dx dt = 9x 4y dy dt = 5 2 x 2y 1. why is the capm determined return considered to be more accurate than the return determined by standard deviation? The index of refraction of crown glass is 1.53 for violet light, and it is 1.51 for red light. a. What is the speed of violet light in crown glass? b. What is the speed The index of refraction of crown glass is 1.53 for violet light, and it is 1.51 for red light.a. What is the speed of violet light in crown glass?b. What is the speed of red light in crown glass? The wife of a rich man fell sick: and when she felt that her end drew nigh, she called her only daughter to her bedside, and said, "Always be a good girl,and I will look down from heaven and watch over you." Soon afterwards she shut her eyes and died, and was buried in the garden; and the little girl wentevery day to her grave and wept, and was always good and kind to all about her. And the snow spread a beautiful white covering over the grave; but by thetime the sun had melted it away again, her father had married another wife. This new wife had two daughters of her own: they were fair in face but foul atheart, and it was now a sorry time for the poor little girl. "What does the good-for-nothing thing want in the parlor?" said they; and they took away her fineclothes, and gave her an old frock to put on, and laughed at her and turned her into the kitchen.Then she was forced to do hard work; to rise early, before daylight, to bring the water, to make the fire, to cook and to wash. She had no bed to lie downon, but was made to lie by the hearth among the ashes, and they called her Cinderella.It happened once that her father was going to the fair, and asked his wife's daughters what he should bring to them. "Fine clothes," said the first. "Pearlsand diamonds," said the second. "Now, child," said he to his own daughter, "what will you have?" "The first sprig, dear father, that rubs against your hat onvnur way home " said she Then he bought for the two first the fine clothes and nearls and diamonds they had asked for and on his way home as he rodeDrag each label to the correct location on the image.The story "Cinderella" from Grimms' Fairy Tales draws on and transforms the original story from The Tales of Mother Goose. Which details applyto Grimms' Fairy Tales, The Tales of Mother Goose, or both texts?portrays Cinderella asmissing her motherfrom CinderellaGrimm's Fairy Storiesportrays Cinderella ashaving physical beauty023 Edmentum. All rights reserved.portrays Cinderella asgood and kindportrays Cinderella'sstepmother as unkind the legal life of most patents is: multiple choice 40 years. 20 years. 50 years. 5 years. The five starters for Wolves scored all of the teams points in the final basketball game of the season. Roger Reporter covered the game, but later his notes were accidentally destroyed. Fortunately, he had taped some interviews with the players, but when he played them back only a few quotes seemed relevant to the scoring. He knew the final score was 95-94. Using the players observations determine how many points each of them scored. the formula i relates the coefficient of self-induction l (in henrys), the energy p stored in an electronic circuit (in joules), and the current i (in amps). find i if p and l. a person in a rocking chair completes 17 cycles in 18 s . What are the periodand frequency of the rocking? Upon reflection, Lucy decided that the best course of action would be to president of the board. What is one adjectives in this sentence The temperature in town is "-12. " eight hours later, the temperature is 25. What is the total change during the 8 hours?