A college admits a freshman class of 330 students at the beginning of each academic year and graduates 145 students twice a year. What will be the net change in student population after 5 years?

sooo

5 2/3+64 1/3+87 = 157

that aint right- a triangles angles has to add up to 180

this triangle b trippin

Answer:

[tex]A'' = (6, -34)[/tex]

Step-by-step explanation:

Given (Points)

[tex]C = (-3,8)[/tex]

[tex]A = (3,-9)[/tex]

[tex]P = (-1,-10)[/tex]

Transformations:

Dilation: Center (0,0); Scale factor = 5

Translation: (x, y) --> (x-9,y +11).

Required

Determine the image of A

[tex]A = (3,-9)[/tex]

Apply the first transformation:

i.e. dilation by a scale factor of 5

[tex]A'=A * 5[/tex]

[tex]A'=(3,-9) * 5[/tex]

[tex]A'=(3* 5,-9* 5)[/tex]

[tex]A'=(15,-45)[/tex]

Apply the second transformation:

i.e. translation: (x, y) --> (x-9,y +11).

[tex]A'=(15,-45)[/tex]

[tex]A'' = (15 - 9, -45 + 11)[/tex]

[tex]A'' = (6, -34)[/tex]

Hence, the image of A is (6,-34)

Answer:

2/5

Step-by-step explanation:

4/5*1/2

=2/5

Step-by-step explanation:

Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )

[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}[/tex]

~Plug the known values and then simplify !

⟼ [tex] \tt{ \frac{3- ( - 1)}{0- ( - 3)}} [/tex]

⟼ [tex] \tt{ \frac{3 + 1 }{0 + 3} }[/tex]

⟼ [tex] \tt{ \frac{4}{3}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}} [/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

                                 CONDITION POSITIVE    CONDITION NEGATIVE   TOTAL

TEST POSITIVE                   42                                       51                            93

TEST NEGATIVE                 25                                      152                          177

TOTAL                                  67                                     203                         270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value =  [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] =  [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %

In my Knowledge

x^4-6x^2+8=0

Answer:

3 (7+m)

Step-by-step explanation:

The correct expression is,

⇒ 3 (7 + m)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''3 times the sum of 7 and m''

Now, We can formulate;

⇒ 3 × (7 + m)

⇒ 3 (7 + m)

Thus, The correct expression is,

⇒ 3 (7 + m)

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Answer:

18.5

Step-by-step explanation:

Answer:

$1084.10

Step-by-step explanation:

Answer:

the answer would be i think im right 7

Step-by-step explanation:

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

Answer:

I believe the answer is 13/18

Step-by-step explanation:

if is not sorry but this is for 5th grade exit ticket only

Answer:

The value of A ,when r=5 then A = 14

Answer:

A' is (-1,-1) B' becomes (-1,-4) C' becomes (-3,-1)

Step-by-step explanation:

To take a shortcut, reflecting a figure across both axes is the same as rotating a figure 180 degrees about the orgin using formula x,y goes to -x,-y but to explain it. Use formula (x,y) goes to (x,-y) to reflect it across x-axis then use formula (x,y) goes to (-x,y) to reflect it across y-axis. A' becomes -1,-1. B' becomes -1,-4 . C' becomes (-3,-1)

Answer:x=11/2+y/2

Step-by-step explanation:

The solution of the given system of equation would be (6, 2)

Two or more equations to be solved together, i.e., the solution must satisfy all the equations in the system.

We have Given the equations, 3x + 2y = 22

-x + 4y = 2

Solving by elimination, Multiplying the second equation by 3,

3x+2y = 22

-3x + 12y = 6

Adding the equation, we get;

2y+12y = 22+6

24y = 28

y = 2

Putting y=2 we get;

3x+2*2=22

3x+4 = 22

3x = 18

x = 6

Hence, The solution is (6, 2)

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Answer:

[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]

Step-by-step explanation:

[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].

The value of the exponential equation is A = 7²q⁹ / p⁸

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = p⁻⁸ / 7⁻² ( q ) ⁻⁹   be equation (1)

On simplifying the equation , we get

A = 7² ( q ) ⁹ / p⁸

Therefore , the value of A is 7²q⁹ / p⁸

Hence , the exponential equation is A = 7²q⁹ / p⁸

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Answer:

135.42 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + PH

Where,

Triangular base area (BA) = ½bh = ½*4*3 = 6 yd²

Perimeter of triangular base (P) = 4 + 3.61 + 3.61 = 11.22 yd

Height of prism (H) = 11 yd

Surface area = 2(6) + 11.22 × 11

= 12 + 123.42

Surface area = 135.42 yd²

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if the sides are in proportion set the proportions

6.21/ 5.4 = x/2.6; cross multiply

5.4*x = 6.21 *2.6; divide by 5.4

x= 2.99

Answer:

h = 15 units

Step-by-step explanation:

A = bh

315 = 21h

h = 315/21

h = 15

Answer:

15 sq. units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Answer:

Please look down below

Step-by-step explanation:

∠1 + 69 + 47 = 180 (because straight line)

∠1 = 180 - 116

∠1 = 64

∠2 + ∠1 + 63 = 180 (because triangle)

∠2 + 64 + 63 = 180

∠2 = 180 - 127

∠2 = 53

∠3 + ∠1 = 180 (because straight line)

∠3 + 64 = 180

∠3 = 116

∠5 = ∠4 (given)

∠5 + ∠4 + ∠3 = 180

Denote ∠5 and ∠4 as x, so 2x

2x + ∠3 = 180

2x + 116 = 180

2x = 64

x = 32

∠5 = 32, ∠4 = 32

∠6 + 136 = 180 (because straight line)

∠6 = 44

∠7 + ∠6 + 47 = 180 (because triangle)

∠7 + 44 + 47 = 180

∠7 = 180 - 91

∠7 = 89

Answer:

For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them.

For 18 and 45 those factors look like this:

. Factors for 18: 1,2,3,6,9 and 18

. Factors for 45: 1,3,5,9,15 and 45

As you can see when you list out the factors of each number, 9 is the greatest number that 18 and 45 divides into.

Step-by-step explanation:

l hope it helps❤

Answer:

9 is it HOPE THIS HELPS

Answer:

no need to skip a line between the office equipment and common stock.

Step-by-step explanation:

Answer: %13.56

Step-by-step explanation: