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Dorothy is trying to prove that △PQR is a right triangle.

The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).

Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
in the picture

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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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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When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.

[tex]f(x) = 3x^2 + 2x - 20[/tex]

⇒ Replace every x with 3:

[tex]f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13[/tex]

[tex]f(3) = 13[/tex]

Step-by-step explanation:

A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.

What is a function?

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A certain kind of relationship called a function binds inputs to essentially one output.

As per the given function,

F(x)=3x²+2x-20

Substitute, x = 3

F(3) = 3(3)^2 + 2(3) - 20

F(3) = 3(9) + 6 - 20

F(3) = 13

Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".

For more about the function,

Answer: Answer choice B

Step-by-step explanation:

The true statement about a function and its inverse is, the range of both f(x) and f⁻¹(x) is all real numbers.

The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.

f⁻¹ isn't the reciprocal of f. The composition of the function f and the reciprocal function f⁻¹ gives the domain value of x.

The true statement about a function and its inverse is,

The range of both f(x) and f⁻¹(x) is all real numbers.

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Answer:

1/20

Step-by-step explanation:

You can find the HCF (Highest Common Factor), also known as GCF, by dividing the numbers by the list of answers. And, if they all come out as whole numbers, then the answer you chose will be the answer. But, if there is another answer that also comes out as whole numbers for all of them, we choose the biggest one (HCF):

2 ÷ 1/20 = 40

4 ÷ 1/20 = 80

4/5 ÷ 1/20 = 16

So, 1/20 is definitely one of the answers, but we should check the other ones too:

2 ÷ 1/40 = 80

4 ÷ 1/40 = 160

4/5 ÷ 1/40 = 32

So, even though we also got whole numbers for this one, it isn't the answer because 1/20 is bigger than 1/40 so far. Let's try the last two answers:

2 ÷ 20 = 0.1

So, we already got our answer. We don't need to check the rest of the numbers, because the first one is already not a whole number. Let's try the final answer:

2 ÷ 15 = 0.13333333

This is not the right one either. So, our answer is 1/20 because it is the biggest one that came out as all whole numbers.

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

Answer:

23.4920634921

Step-by-step explanation:

74/315 x 100% = 23.4920634921

192 cm is the length of rectangle.

What is rectangle?

An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.

                     There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.

Area of rectangle  = 72 * 56

                               = 4032 cm²

the second rectangle's area is same as first rectangle  .

             4032 = x * 21

               x = 4032/21

                 x = 192 cm

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Answer: I can’t read it

Step-by-step explanation:

Answer:  

                 x-intercepts: -0.16 and 3.16

                 vertex: (1.5, 5.5)

Step-by-step explanation:

Answer:

Your answer is [tex]y=0.75x[/tex] or [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

Using the formula [tex]\frac{y1-y2}{x2-x1}[/tex] we get [tex]\frac{3}{4}[/tex]

Using the formula [tex]y=kx[/tex] we get [tex]y=\frac{3}{4} x[/tex]

Answer: 18 gallons

Step-by-step explanation:

648/36 = 18

We are given:

Find the product.

[tex](wz+8)^3[/tex]

Solution:

[tex]w^3z^3+24w^2z^2+192wz+512[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Step-by-step explanation:

6kg025g = 6025g

4kg 325g = 4325 g

6025+4325= 10350 g

12kg = 12000g

12000-10350 = 1650g = 1 kg 650 g

Answer: it would be A.

Step-by-step explanation: I did the quiz

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.

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Answer:

Step-by-step explanation:

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

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

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:

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: im going to be king of the pierates

Step-by-step explanation: :)

Answer:

El intercepto en y es 6,1

Step-by-step explanation:

Espero que esto ayude

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

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: never mind

Step-by-step explanation: