what is the length of PR​

Answer:

MP =8

Step-by-step explanation:

QR = 1/2 MP

76 -8x = 1/2 (89 - 9x)             Multiply both sides by 2

152 - 16x = 89 - 9x                Subtract 89 from both sides

152-89 - 16x = - 9x                Add 16x to both sides.

63 - 16x +16x = 16x  - 9x

63 =7x                                  Divide by 7

x = 63/7

x = 9

MP = 89 - 9*9

MP = 8

Answer:

The interquartile range is 30

Step-by-step explanation:

Here, we want to get the interquartile range

We start by arranging the numbers in order

10,20,30,40

The first quartile is;

(n + 1)/4 th term = (4+ 1)/4 = 5/4 = 1.25

This is approximately the first term = 10

Q3 is the third quartile

That is;

3(n + 1)/4 = 3(5)/4 = 15/4 =3.75

This is approximately the 4th term = 40

The interquartile range is the difference between the first and third quartile

Mathematically, we have that as;

40 - 10 = 30

Answer:

18 : 26

Step-by-step explanation:

It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26

Answer:

answer the solution is 3

Answer:

(2,114)

Step-by-step explanation:

g(x)= -16x² + 64x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 64(2) + 80

-16(4)+128+80

-64+128+80

= 144

Answer:

144

Step-by-step explanation:

Answer:

Step-by-step explanation:

cost = 3 pitchers × $0.50/pitcher = $1.50

revenue = 36 cups × $0.15/cup = $5.40

profit = $5.40 - $1.50 = $3.90

Answer:

The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].

Step-by-step explanation:

Let [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex]. we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:

[tex]y' = \frac{1}{2\cdot \sqrt{\frac{1-x}{1+x} }}\cdot \frac{(-1)\cdot (1+x)-(1)\cdot (1-x)}{(1+x)^{2}}[/tex]

[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right][/tex]

[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right][/tex]

[tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex]

The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].

Answer: -9 and 7

Step-by-step explanation: [tex]-9x7=63[/tex] and [tex]-9+7=-2[/tex]

Answer:

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: ... System of difference equations

please give brainliest

Answer:

2

Step-by-step explanation:

Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2

y =  [tex]a (x - -1)^{2}[/tex] + (-2) so if you simplify we get y =  a(x+1)^2 -2

Since we are also given a point we can solve for a so x = 2 and y = 16

16 = a(2+1)^2 - 2

16 = a(3)^2 - 2

18 = 9a

a = 2

Answer:

The slope is 5/4 and the y-intercept is 2.

Step-by-step explanation:

5x-4y=-8

4y=5x-(-8)

4y=5x+8

y=5/4x+8/4

y=5/4x+2

y=mx+b where m=slope and b=y-intercept.

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I guess that you want to find the population of the cats in Year 1. This will be represented by x. Therefore,

x + (25% × x) = 60

x + (0.25 × x) = 60

x + 0.25x = 60

1.25x = 60

x = 60/1.25

x = 48

The population of cats in year 1 is 48

Answer:

y = 1/2x + 3

Step-by-step explanation:

Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.

Answer:

$13,400

Step-by-step explanation:

Simple Interest = principal × rate × time

principal= $9000

Rate= 12/100=0•12

Time=5years

Simple interest =PRT

= 9000× 0•12 × 5

= 5400

Total amount to be paid = 9000 + 5400

= $13400

Answer:

the initial amount of investment is 1000$, it grows at a rate of 1.1%, and the value after 10 years is 2853.12.

Step-by-step explanation:

i hope this helps!

Answer:-8

Step-by-step explanation:

The data represent a linear function because there is a common difference of -9.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.

From the table, we have the following highlight :-

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

Read more about linear functions at:

brainly.com/question/15602982

#SPJ2

Answer:

that's The truth

Step-by-step explanation:

that's more like a trade

Answer:

[tex]\sqrt{61}[/tex]

Step-by-step explanation:

x = 6 units horizontally

y = 5 units vertically

Use the pythagorean theorem[tex]\sqrt{x^{2} + y^{2} } = L[/tex]

Plug x and y into the equation, and you will get [tex]\sqrt{61}[/tex] as the length.

Answer:

7.8 units (which is to the nearest tenth)

Step-by-step explanation:

We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units.  This Theorem is expressed symbolically as

a^2 + b^2 = c^2.  In this particular case, a = 6, b = 5 and c is to be determined.  Performing the calculations, we get

6^2 + 5^2 = c^2, or:

36 + 25 = 61 = c^2

Taking the positive square root of both sides, we get c = √61 ) exactly,

which rounds off to 7.8 units (to the nearest tenth).

The length of the line is 7.8 units.

Answer:

positive slope

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3x+2) + x = 39

6x+4+x = 39

7x = 35

x = 5

Answer:

18 seconds

Step-by-step explanation:

convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.

Hopefully this helps! Let me know if you have any questions!

Step-by-step explanation:

nth term = 1 - 5n

6th term = 1 - 5(6)

= 1 - 30

= - 29

Answer:

A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?

Step-by-step explanation:

h = -16t^2 + 80   Stick hits the ground when h = 0:

0 = -16t^2 + 80    

16t^2 = 80

t^2 = 80/16 = 5

t = POSITIVE root 5 (due to the real world nature of the problem)

t approximately 2.236 seconds.

========================================

Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)

Symmetric about h-axis, though I would only graph on the right side of the h-axis since  

that is where t >= 0.

Answer:

41.2 inches tall

Step-by-step explanation:

53.56 / 1.3 = 41.2

Step-by-step explanation:

Let Raj's sister's height be x

53.56= 1.3x

= 53.56/1.3=x

= 41.2=x

Answer:

2.74 Seconds

Step-by-step explanation:

-16t²+120=0

-16t²=-120

t²=7.5

t=2.74

Answer:

so you're adding up all the numbers together so 16+13+20+16+12+17+18=112

then you are dividing it by how many numbers there are so there are 7 numbers in total 112÷7=16

Answer:

y = 21

Step-by-step explanation:

(3y-8) = 55 (corresponding angles are equal)

3y-8 = 55 (add 8 from both sides)

3y = 63 (divide 3 from both sides to isolate the y variable)

y = 21 (final answer)

Answer:

y = 21

Step-by-step explanation: