Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters

Answers

Answer 1
Answer: Situation: Which one of the following is not equal to 100 meters?
We were given 4 different choices with corresponding values, not let's start finding the correct answer.
=> 0.100 kilometers
1 meter = 0.001 km 
100 meters = 0.1 km
=> 10 hectometers
1 meter = 0.01 hm
100 meters = 1 hm
=> 10,000 centimeters
1 meter = 100 centimeters
100 meters = 10 000 cm
=> 100,000 millimeters
1 meter = 1000 mm
100 meters = 100 000 mm
thus the not equal answer is hectometer
Answer 2
Answer:

Final answer:

When converted to meters, 0.100 kilometers, 10,000 centimeters, and 100,000 millimeters all equal 100 meters. However, 10 hectometers equals 1000 meters, hence it does not equate to 100 meters.

Explanation:

The units you provided for comparison are 0.100 kilometers, 10 hectometers, 10,000 centimeters, and 100,000 millimeters. Let's convert them all to meters using the following metric conversions:

  • 1 kilometer = 1,000 meters
  • 1 hectometer = 100 meters
  • 1 centimeter = 0.01 meters
  • 1 millimeter = 0.001 meters

So, based on the metric conversions:

  • 0.100 kilometers = 100 meters
  • 10 hectometers = 1000 meters
  • 10,000 centimeters = 100 meters
  • 100,000 millimeters = 100 meters

As such, 10 hectometers does not equal 100 meters. Instead, it amounts to 1000 meters.

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Choose the three fractions that are less than 4/8 A) 1/2 B) 1/4 C) 5/8 D) 1/3 E) 1/8 F) 3/4

Answers

Answer:

B. 1/4  

D. 1/3  

E. 1/8

Step-by-step explanation:

4/8 can be represented as 1/2 or a half, therefore, find fractions that are less than half of the denominator.

Doing so will leave you with B, D, and E.

B.

Half of 4/4 is 2/4, 1/4 is less

D.

Half of 3/3 is 1.5/3, 1/3 is less

E.

Half of 8/8 is 4/8, 1/8 is less

Len is baking a square cake for his friend wedding. When served to the guests, the cake will be cut into square pieces 1 inch on the side. The cake should be large enough so that 121 guests get one piece. How long should each side of the cake be?

Answers

You would just need to take the square root of 121 since it is square. So:

√121= 11 inches per side


Final answer:

Len must bake a square cake that's 11 inches on each side to satisfy 121 guests with square pieces of cake.

Explanation:

To calculate the length of each side of the cake, we will use the concept of square root. The square root of a number gives the length of the side of a square whose area is that number. The number of guests, who will each receive one square piece of cake, is the area of the cake in square inches. So, we need to calculate the square root of 121, which is the number of guests.

Step 1: Write down the number of guests, 121.

Step 2: Calculate the square root of the number from step 1. The square root of 121 is 11.

Therefore, the length of each side of the cake should be 11 inches.

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The half-life of Po-214 is 0.001 seconds. How much of a 10g sample is left after the 0.003 seconds. Also, create an exponential function to model its decay.

Answers

\bf \textit{Amount for Exponential Decay using Half-Life} \n\n A=P\left( (1)/(2) \right)^{(t)/(h)}\qquad \begin{cases} A=\textit{accumulated amount}\n P=\textit{initial amount}\dotfill &10\n t=\textit{elapsed time}\dotfill &0.003\n h=\textit{half-life}\dotfill &0.001 \end{cases} \n\n\n A=10\left( (1)/(2) \right)^{(0.003)/(0.001)}\implies A=10\left( (1)/(2) \right)^3\implies A=1.25

Final answer:

After 0.003 seconds, we would have 1.25g of the initial 10g Po-214 left. The decay process can be modeled with the exponential function: N = 10 * (1/2)^{(0.003/0.001), where N is the final amount, N0 is the initial amount, t is time, and T is the half-life.

Explanation:

The subject matter pertains to the concept of half-life in physics which interprets the decay of a radioactive material. In radioactive decay, the number of atoms in a radioactive sample decreases exponentially over time. This time is taken into consideration in the form of their half-lives. In the case of Po-214, the half-life is given as 0.001 seconds.

Before finding how much of Po-214 is left after 0.003 seconds, let's first understand the calculation. After one half-life (0.001 second), half of the sample will be left, i.e., 10g/2 = 5g. After another half-life (another 0.001 second), half of this 5g will be left, i.e.,5g/2 = 2.5g. After the third half-life (the remaining 0.001 second), we will have 2.5g/2 = 1.25g left. So, after 0.003 seconds, we would have 1.25g of Po-214 remaining from the initial 10g.

The decay process can be modeled with an exponential function N = N0 * (1/2)^{(t/T), where N is the final amount, N0 is the initial amount, t is time, and T is the half-life. For this problem, the equation would be: N = 10 * (1/2)^(0.003/0.001).

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What is the correct classification of 7x2 + 9x + 4? Select one of the options below as your answer:A. monomial B. binomial C. trinomial

Answers

Answer:

The correct classification is trinomial.    

Step-by-step explanation:

Given the equation

7x^2+9x+4

we have to choose the options.

Monomial is an algebraic expression containing one term, binomial with two terms and trinomial with 3 terms.

Now, the given expression

7x^2+9x+4

consisting of 3 terms therefore called trinomial.

Hence, the correct classification is trinomial.

B. binomial

this expression has two terms (whole numbers and a x-term

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.Draining Swimming Pool
Hours Draining
Change in Water Level​ (in.)
2
3.5
9
​?
17
29.75
23
​?
The swimming pool is draining at a rate of
nothing inches per hour.
​(Type an integer or a​ decimal.)
Enter your answer in the answer box and then click Check Answer.

Answers

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

Final answer:

The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.

Explanation:

The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.

Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.

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You start at (0, -2). You move down 3 units. Where do you end?

Answers

Answer:

(0, -5)

Step-by-step explanation:

When you move down you subtract the amount from the y-axis.