All categories

2 years ago

A colony of 500 bacteria doubles in size every 490 minutes. What will the population be 980

Mathematics

1 answer:

worty [1.4K]2 years ago

3 0

Answer:

2000

Step-by-step explanation:

You might be interested in

The base of a rectangular tank measures 10 ft by 20 ft. The tank is 16 ft tall, and its top is 10 ft below ground level. The tan

sashaice [31]

Answer:

Step-by-step explanation:

Given a rectangular tank with dimension (10ft by 20ft by 16ft)

Then the volume of the tank is

Volume =length × breadth ×height

Volume=10×20×16=3200ft³

V=3200ft³

Then,

∆F= weight density × volume

∆F= 62.4×3200

∆F= 199,680 lb

Then,

Let the 0-point on the x-axis be at the bottom of the tank, so the level of the water ranges from x = 0 to x = 16ft. (It would just as well to let 0 be ground level and let x range from x = −26ft to x − 0.) Then a slice of water at level x is raised (26− x)ft

Then ∆x=(26-x)ft

Work is given as

W= -∫F∆xdx. From 0 to 16

W= -∫199,680(26-x)dx From 0 to 16

W=-199,680∫26-x dx From 0 to 16

W=-199,680 (26x-x²/2). From 0 to 16

W=-199,680(26×16-0.5×16² -0-0)

W=-199,680(288)

W=-57,507,840J

The work done to empty the tank is 57,507,840J

8 0

3 years ago

Read 2 more answers

HELP ASAP, right answers

Brut [27]

Hey~

Possibly C.

It makes the most sense.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3 0

2 years ago

Read 2 more answers

Consider a solid spherical ball made of wood. Suppose a hole is bored (drilled) vertically through the center of the ball and th

lbvjy [14]

Answer:

The volume of solid is 268.08 inches cube.

Step-by-step explanation:

The solid spherical ball has height 8 inches that means the diameter of the sphere is 8 inches. So, the radius will be the half of diameter. Thus, radius is 4 inches.

Now use below formula to find the volume of solid sphere.

$Volume = \frac{4}{3}\pi r^{2} \\Volume = \frac{4}{3}\pi (4)^{2} \\Volume = 268.08 \ in^{3}$

Therefore, the volume of solid is 268.08 inches cube.

5 0

3 years ago

How many years will it take James to recover his investment?

My name is Ann [436]

I don’t think anyone knows this one not even James

6 0

2 years ago

Simplify the expression by arranging the steps in sequence, based on the order of operations.

lubasha [3.4K]

Answer:

$\displaystyle 6x - 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

Distribute: $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
Multiply: $\displaystyle 5x + 4 - 9 + x$
Rearrange: $\displaystyle 5x + x + 4 - 9$
Combine like terms: $\displaystyle 6x - 5$

8 0

2 years ago