If XY=16, XZ=14, JQ=6, and the radius of the circumscribed circle of triangle XYZ is 10, find QK

Answer:

Step-by-step explanation:

-25/4(x)= -25/8

x= -(25/8) X (4/-25)= 1/2

x=-6 and y=0 are solutions for the equations 2x+5y=-12.

Two or more expressions with an Equal sign is called as Equation.

Given equations,

-x+y=6...(1)

2x+5y=-12 ...(2)

From equation 1

y=6+x

Now put y value in 2

2x+5(6+x)=-12

2x+30+5x=-12

7x+30=-12

Subtract 30 on both sides

7x=-12-30

7x=-42

Divide both sides by 7

x=-6

Now plug in x value in equation 1

-(-6)+y=6

6+y=6

y=0

Hence, x=-6 and y=0 for the equations 2x+5y=-12.

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Answer:

[tex]\frac{13}{30}[/tex]

Step-by-step explanation:

If Sandpiper Company has 25,000 shares of cumulative preferred 1% stock.

Dividends per share for preferred

Common stock

The arrear $75,000 of unpaid dividends from year 1 will be paid to preferred stockholders in year 2

= ($150 x 1% x 25,000) +$75,000

= ($37,500 + $75,000)

= $112,500      

                          Year 1             Year 2            Year 3

Distributed          $75,000        $15,000        $112,500

Preferred             $75,000       $112,500        $25,000

Common                $0                $97,500      $87,500

Dividends per share for preferred

Year 1 =  $75,000/25,000 shares

Year 1 = $3 per share

Year 2 = $112,500 /25,000 shares

Year 2 = $4.5 per share

Year 3 = $25,000/$25,000 shares

Year 3 = $1 per share

Common stock

Year 1 = 0/ 50,000 shares

Year 1 = $0

Year 2 =$97,500 / 50,000 shares

Year 2 = $1.95

Year 3 = $87,500 /50,000 shares

Year 3 =$1.75

Therefore the dividends per share for preferred is $3 per share, $4.5 per share, $1 per share and the common stock $0, $1.95, $1.75.

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Answer: 18 gallons

Step-by-step explanation:

648/36 = 18

The quadratic function that models the graph on the image is given as follows:

y = (x - 1)² - 1.

The features of the quadratic equation given from the graph are given as follows:

The equation of a quadratic function with vertex (h,k) is defined as follows:

y = a(x - h)² + k.

In which a is the leading coefficient of the function.

From the graph, the coordinates of the vertex are given as follows:

(1,1).

As the vertex is the turning point of the function.

Hence the parameters h and k have values of:

h = 1, k = 1.

Hence:

y = a(x - 1)² + 1.

The y-intercept of the function is of:

y = 2.

This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:

2 = a(0 - 1)² + 1

a = 1.

Hence the equation is of:

y = (x - 1)² - 1.

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Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

[tex]\dfrac{364 \times 21}{20349} = 0.3756[/tex]

That, I believe is the answer. Please let me know if it is correct and if you need more info.

Answer: im going to be king of the pierates

Step-by-step explanation: :)

Answer: 7

This is a seventh degree polynomial.

Step-by-step explanation:

The degree of the polynomial is the highest exponent.

Step-by-step explanation:

7 is the degree of the polynomial

7 is the highest exponent.

please mark brainliest

a) The dot plot of the data-set is given by the second image shown at the end of the answer.

b - i) The mean of the distribution is of: 1.6 goals.

b - ii) The median of the distribution is of: 1.

b - iii) The mode of the distribution is of: 1 goal.

The mean is given by the sum of all observations of the data-set, hence it is of:

Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.

The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.

Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.

The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.

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

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Answer:

A and C

Step-by-step explanation:

Answer:  

                 x-intercepts: -0.16 and 3.16

                 vertex: (1.5, 5.5)

Step-by-step explanation:

Answer:No solution

Step-by-step explanation:

The solution of the equation is 4. Once you plug in 4, you will find that it does not fit

1-2 does not equal to 3

Answer: never mind

Step-by-step explanation:

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

Answer:35 divide by 10.50= 3.33 = 4 hrs

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2x²+3x=4-3=1

2x²+3x=1

to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides

=(3/2)²=9/4

Answer: it would be A.

Step-by-step explanation: I did the quiz

Answer:

slope intercept form:

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

m = 5/4

x = 2   from the point (2,-1)

y = -1   from the point (2,-1)

y = mx + b

-1 = [tex]\frac{5}{4}[/tex] ([tex]\frac{2}{1}[/tex]) + b

-1 = [tex]\frac{10}{4}[/tex] + b

-1 = [tex]\frac{5}{2}[/tex] + b   Subtract [tex]\frac{5}{2}[/tex] from both sides

[tex]\frac{-2}{2}[/tex] -+ [tex]\frac{-5}{2}[/tex] = b

[tex]\frac{-7}{2}[/tex] = b

y = mx + b

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Answer:

if you need the equation: y + 1 = [tex]\frac{5}{4}[/tex] (x-2) or y + 1 = [tex]\frac{5}{4}[/tex] x  [tex]-\frac{5}{2}[/tex]

the answer: y = [tex]\frac{5}{4}[/tex] x [tex]-\frac{7}{2}[/tex]  

Step-by-step explanation:

Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)

Answer:

23.4920634921

Step-by-step explanation:

74/315 x 100% = 23.4920634921

Answer: Answer choice B

Step-by-step explanation:

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Answer: C. y=80

Step-by-step explanation:

1. Based on the given conditions, formulate: x=7

2. Calculate: Substitute   x=7 into y=2x(to the power of) - 3x+3

y=80

3. Then find the correct option: C

By using the concept of mean and standard deviation, it can be inferred that

The the drug stays in the system for more than 397 minutes

What is mean and Standard Deviation?

Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used

To know about Standard Deviation, it is important to know about Variance

Variance is the sum of the square of deviation from mean.

Square root of the variance gives the standard deviation

Given n = 35,

Population mean  = 397

Population Standard Deviation  = 18

Here the sample size is large. So the distribution is approximately normal

To test :

Test statistic t =

                      = 1.97

p value at  = 0.0244

Since 0.0244 < 0.05, the null hypothesis is rejected

So the the drug stays in the system for more than 397 minutes

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Answer:x=6

y=7

Step-by-step explanation:

x=5y-29

2(5y-29)-3y=-9

7y=49

y=7

x=5(7)-29

x=6

48 let the unknown part be x. And make it 2/8=