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2 years ago

What is the radius and diameter of the following circle? 14 cm

Mathematics

1 answer:

patriot [66]2 years ago

6 0

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

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At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes

RoseWind [281]

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

8 0

2 years ago

Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tr

Basile [38]

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.

The amount decays by about 5% per year, hence r = 0.05.

Thus, the equation is given by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 450000(1 - 0.05)^t$

$A(t) = 450000(0.95)^t$

After 11 years, the amount is given by:

$A(11) = 450000(0.95)^{11} = 255960$

The bottle contains 255,960 atoms of tritium after 11 years.

More can be learned about exponential functions at brainly.com/question/25537936

8 0

1 year ago

-2(-6x+3u-1) use the distributive property to remove parentheses

Nikitich [7]

the answer is 12x-6u+2 hope this helps

4 0

2 years ago

Read 2 more answers

Maria is standing next to a tree. The tree cast a shadow that is 5.4 ft long. The angle formed from the sun hitting the tree and

jenyasd209 [6]

Your answer is 27.0 because to get your answer, you need to multiply 5.4x5

6 0

2 years ago

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 1.5% syrup?

Alona [7]

Answer:

He needs 0.075 lbs of sugar and 4.925 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 1.5%

Write a proportion:

$\dfrac{5}{x}=\dfrac{100}{1.5}$

Cross multiply:

$100x=5\cdot 1.5\\ \\100x=7.5\\ \\x=\dfrac{7.5}{100}=0.075$

So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.

6 0

2 years ago