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Mnenie [13.5K]
3 years ago
14

.A mouse population is 25,000 and is decreasing at 20% per year. What is the population after 3 years? Exponential growth or dec

ay?: Write a function that represents the situation: - Initial amount: -Growth/Decay rate: -Answer:
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

its decreasing

Step-by-step explanation:

3 x 25000 is 75000 and 20 percent of that is 15000. hopefully you can construct a function from this.

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Write an equation of a line parallel to the line
Airida [17]

Answer: y = -2x - 5

Step-by-step explanation:

The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.

from the equation given,

y =  -2x  + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute  for x and y in the equation of a line

y = mx + c to get the value of  , the y - intersect.

-3 = -2 x -1 + c

-3 = 2 + c

solve for c

c = -3 - 2

c = -5.

now , to have the equation of the line , we put c = -7 into the equation

y = mx + c

y = -2x  - 5

Therefore the equation of the line parallel to the line

y = -2x + 8 is

y = -2x - 7

4 0
3 years ago
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic
Semenov [28]

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

7 0
3 years ago
WORTH 20 POINTS HELP
vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

6 0
2 years ago
PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP
Scilla [17]

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

y =  - 3x + 3

7 0
3 years ago
Four glasses of milk and 3 snack bars have a total of 74 carbohydrates (carbs), and 3 glasses of milk and 4 snack bars have a to
Korvikt [17]

Answer: Snack=10carbs. Milk=11carbs

Step-by-step explanation:

(4x11)+(3x10)= 74

(3x11)+(4x10)= 73

6 0
3 years ago
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