Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Suppose the diameter of a circle is 16 units. What is its circumference?
Use 3.14 for
pi and enter your answer as a decimal.
units

Suppose the diameter of a circle is $16$ units. What is its circumference? $\newline$ Use $3$ . $14$ for $\pi$ and enter your answer as a decimal. $\newline$ $\square$ units

View step-by-step help

View step-by-step help

Weighted averages: word problems

Full solution

Q. Suppose the diameter of a circle is

16

units. What is its circumference?

\newline

Use

3

.

14

for

\pi

and enter your answer as a decimal.

\newline

\square

units

Question Prompt: The question_prompt: What is the circumference of a circle with a diameter of $16$ units?
Formula for Circumference: To find the circumference of a circle, use the formula $C = \pi d$ , where $C$ is the circumference and $d$ is the diameter.
Substitute Diameter: Given that the diameter $d$ is $16$ units, we can substitute this value into the formula. $C = \pi \times 16$
Calculate Circumference: We are instructed to use $3.14$ for $\pi$ . Therefore, we calculate the circumference as follows: $\newline$ $C = 3.14 \times 16$
Perform Multiplication: Perform the multiplication to find the circumference. $C = 50.24$ units

More problems from Weighted averages: word problems

Question

Rosie went on a hiking trip. The first day she walked

18

kilometers. Each day since, she walked

90 \%

of what she walked the day before.

\newline

What is the total distance Rosie has traveled by the end of the

10^{\text {th }}

\newline

Round your final answer to the nearest kilometer.

\newline

\mathrm{km}

Posted 10 months ago

Question

A monkey is swinging from a tree. On the first swing, she passes through an arc of

10 \mathrm{~m}

. With each swing, she passes through an arc

\frac{9}{10}

the length of the previous swing.

\newline

What is the total distance the monkey has traveled when she completes her

25^{\text {th }}

swing? Round your final answer to the nearest meter.

\newline

Posted 10 months ago

Question

S E=\frac{\sigma}{\sqrt{n}}

\newline

The given equation relates the standard error,

S E

, of a sample mean to the population standard deviation,

\sigma

, and the size of the sample,

n

. Which of the following equations correctly gives the size of the sample in terms of the standard error and the population standard deviation?

\newline

1

\newline

n=\left(\frac{\sigma}{S E}\right)^{2}

\newline

n=\frac{\sigma^{2}}{S E}

\newline

n=\sqrt{\left(\frac{\sigma}{S E}\right)}

\newline

n=\frac{\sqrt{\sigma}}{S E}

Posted 10 months ago

Question

Avery is designing a large rectangular sign. They want the sign to have an area of

2 \mathrm{~m}^{2}

\frac{4}{5} \mathrm{~m}

\newline

How tall should the sign be?

\newline

Posted 10 months ago

Question

The bacteria in a Petri dish culture are self-duplicating at a rapid pace.

\newline

The relationship between the elapsed time

t

, in minutes, and the number of bacteria,

B(t)

, in the Petri dish is modeled by the following function.

\newline

B(t)=10 \cdot 2^{\frac{t}{12}}

\newline

How many bacteria will make up the culture after

120

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

Posted 10 months ago

Question

A large brine tank containing a solution of salt and water is being diluted with fresh water.

\newline

The relationship between the elapsed time,

t

, in hours, after the dilution begins, and the concentration of salt in the tank,

S(t)

, in grams per liter

(\mathrm{g} / \mathrm{l})

, is modeled by the following function.

\newline

S(t)=500 \cdot e^{-0.25 t}

\newline

What will the concentration of salt be after

10

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

1

Posted 10 months ago

Question

After the closing of the mill, the town of Sawyerville experienced a decline in its population.

\newline

The relationship between the elapsed time,

t

, in years, since the closing of the mill, and the town's population,

P(t)

, is modeled by the following function.

\newline

P(t)=12,000 \cdot 2^{-\frac{t}{15}}

\newline

In how many years will Sawyerville's population be

9000

? Round your answer, if necessary, to the nearest hundredth.

\newline

Posted 10 months ago

Question

Carlos has taken an initial dose of a prescription medication.

\newline

The relationship between the elapsed time

t

, in hours, since he took the first dose, and the amount of medication,

M(t)

, in milligrams (

\mathrm{mg}

), in his bloodstream is modeled by the following function.

\newline

M(t)=20 \cdot e^{-0.8 t}

\newline

In how many hours will Carlos have

1 \mathrm{mg}

of medication remaining in his bloodstream?

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

Posted 10 months ago

Question

To take a taxi, it costs

\$ 3.00

plus an additional

\$ 2.00

per mile traveled. You spent exactly

\$ 20

on a taxi, which includes the

\$ 1

\newline

How many miles did you travel?

\newline

Posted 9 months ago

Question

Y

is a scaled copy of Polygon

X

using a scale factor of

\frac{1}{3}

\newline

Y^{\prime}

's area is what fraction of Polygon

X

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant