MATHEMATICS HIGH SCHOOL

What is 1/3 written as a decimal?
O 0.45
O 0.8
O 0.8
O 4.5
What is 1/3 written as a decimal? O 0.45 O - 1

Answers

Answer 1
Answer:

Hey there!

In order to convert a fraction to a decimal you have to DIVIDE the NUMERATOR (the TOP number) by the DENOMINATOR (the BOTTOM number).

The formula is:

a/b

= a ÷ b

= c

Whereas, “a” is your numerator, “b” is your denominator, & “c” is your decimal


Now that we have that information out the way we can answer your question.


4/5

= 4 ÷ 5

= 0.80

Therefore, your answer is: Option B. 0.8


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)
Answer 2
Answer:

Answer:

0.80

Step-by-step explanation:

4/5 as a decimal is 0.80

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The ____ function can be used to determine the number of rows containing a specified value.​

Answers

The COUNT function can be used to determine the number of rows containing a specified value

Which of the following statements shows the distributive property?5 + (4 – 2) = 20 – 10

5(4 – 2) = 20 – 10

5 + (4 – 2) = 9 + 3

5(4 – 2) = 9 – 7

Answers

Answer:

\displaystyle 5(4 - 2) = 20 - 10

This is a genuine statement of you look real closely at it.

I am joyous to assist you anytime.

Emily can ride her scooter 18 miles in 50 minutes.c. What is her unit rate in miles per hour?

Answers

Answer:

22.5 miles per hour (rounded answer)

Step-by-step explanation:

This is a fraction equal to

18 miles ÷ 0.8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.8

18 miles ÷ 0.8

0.8 hours ÷ 0.8

=  

22.5 miles

1 hour

=  

22.5 miles

hour

= 22.5 miles per hour

Answer:

there is no miles per hour because she wasn't riding for an hour

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).

Learn more about Half-life here:

brainly.com/question/24710827

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Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch. a. 65 cu. in c. 60 cu. in b. 75 cu. in d. 11 cu. in Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

r = 2.5 in

V = 4(3.14)(2.5 in)^(3)/3 = 65 in^(3)

What is the square root property of:

​

Answers

The square root property seems to be another name for completing the square

x^2 + 5x + 6 = 0

We move the constant to the other side

x^2 + 5x = -6

We square half the linear coefficient and add that to both sides

x^2 + 5x + (5/2)^2 = -6 + 25/4

Now the left side is a perfect square,

(x + 5/2)^2 = 1/4

Here's the square root property part, we take the square root of both sides, remembering the ±

x + 5/2 = ± 1/2

x = -5/2 ± 1/2

Answer: x = -3 or x=-2

We check by plugging in these values to the original equation, and they work.

------

x^2 + 6x = 16

Again we add half the linear coefficient, squared, to both sides

x^2 + 6x + 3^2 = 16 + 9

(x + 3)^2 = 25

Here comes the square root property, taking the square root of both sides:

x + 3 = ±5

x = -3 ± 5

x = 2 or x = -8

Again we check by substitution, and they both work

Answer: x = 2 or x = -8
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