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pishuonlain [190]
2 years ago
7

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells

every day after that. How many cells of bacteria are there on day 5?
Mathematics
1 answer:
tresset_1 [31]2 years ago
8 0

Answer:

3^5

Step-by-step explanation:

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A popcorn container is the shape of an inverted cone. It is 9 inches tall, and the circular opening has a diameter of 4 inches.
stealth61 [152]

Answer:

<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>

Step-by-step explanation:

Let's recall that the formula for finding out the volume of a cone is:

Volume of a cone = π * r² * h/3

Replacing with the real values, we have:

diameter = 4 inches ⇒ radius = 2 inches

Volume of a cone = 3.1416 * 2² * 9/3

Volume of a cone = 3.1416 * 4 * 3

Volume of a cone = 37.7 cubic inches

5 0
2 years ago
Read 2 more answers
The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly
ivanzaharov [21]

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

7 0
2 years ago
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to d
Troyanec [42]

Answer:

b_2 =  -2.5

Step-by-step explanation:

Given

\frac{1}{2}(4.5 + b_2) * 6 = 21

Required

Determine the value of T

\frac{1}{2}(4.5 + b_2) * 6 = 21

Multiply both sides by 2

2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2

(4.5 + b_2) * 6 = 42

Divide through by 6

4.5 + b_2 = 42/6``

4.5 + b_2 = 7

b_2 =  7 - 4.5

b_2 =  -2.5

6 0
2 years ago
4. Priya is teaching her younger cousin to ride a bike. She wants to stay on roads that are not too steep and easy enough for a
taurus [48]

Answer:

Having 2 meters and 25 meters legs and 3 meters and 30 meters legs.

Step-by-step explanation:

Priya thinks that an angle of elevation of 7 Degrees or less will be safe for a learner of bike riding.

Now, a 7-degree elevation angle in a right triangle will have a 3 : 25 ratio of its legs.

Therefore, the list of 2 right triangles that would be safe for a new rider will be having 2 meters and 25 meters legs and 3 meters and 30 meters legs.  

I both cases the angle of elevation will be less than 7 degrees. (Answer)

4 0
2 years ago
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t
dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:  

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

3 0
2 years ago
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