The population of bacteria M after X minutes is represented by the function M(x)=51(1.03)^x.whqt is the approximate difference between the populations after 3 minutes

Answers

Answer 1
Answer:

The difference between the populations after 3 minutes  is 5.

Population of bacteria

According to the question, the population of bacteria is modeled by the function; M(x)=51(1.03)^x. We have to recall that x refers to the time taken to have an M number of bacteria.

Initially, x = 0 so;

M(x)=51(1.03)^0 = 51

After 3 minutes, we have;

M(x)=51(1.03)^3 = 56

Difference between the populations after 3 minutes = 56 - 51 = 5

Hence, the difference between the populations after 3 minutes  is 5.

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The model represents an equation . What is the solution for this equation . Please help I’ll mark you as brainliest if correct

Answers

Answer:

x=3

Step-by-step explanation:

4x+6=18

4x=18-6

4x=12

x=12÷4

x=3

Points F (0,0), G (9,0), and H (9,12) are the vertices of a triangle.What is the distance from point F to point H?

A. 9
B. 12
C. 15
D. 21

Answers

The distance from point F to point H is 15 units. Option C is correct.

In order to get the distance from point F to point H, we will use the distance formula as shown:

D =√((x_2-x_1)^2+(y_2-y_1)^2)

Given the coordinate points F(0,0) and H(9, 12)

FH=√((12-0)^2+(9-0)^2)\nFH =√(12^2+9^2)\nFH=√(144+81)\nFH=√(225)\nFH = 15units

Hence the distance from point F to point H is 15 units. Option C is correct.

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Answer:

15

Step-by-step explanation:

Because I said so

George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?

Answers

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.

Answers

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

2# Find the missing variable (s). Round to the nearest tenth.

Answers

Answer:

15 cos(33°) m


Step-by-step explanation

Presumably m stands for meters.

If RS were 1, x would be cos(33°)

Multiply sides of triangle by 15 m

When calculating cos(33°) first make sure cos(90°) comes out zero, not -0.448...

The sum of two numbers is -14, if one number is subtracted from the other, their difference is 2, find the numbers.

Answers

Answer:uu

-10 and -12

Step-by-step explanation: