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1 year ago

Which number produces a rational number when multiplied by 1/5

Mathematics

2 answers:

PilotLPTM [1.2K]1 year ago

8 0

Answer:

-2/3

Step-by-step explanation:

A rational number is a number that can be expressed by a fraction so when you add to fractions it’s a rational number.

valentinak56 [21]1 year ago

3 0

Answer:

-2/3

Step-by-step explanation:

Gimme brainliest if I'm correct

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Center (-15,11) radius 2

kodGreya [7K]

Answer:

$(x+15)^2+(y-11)^2=4$

Step-by-step explanation:

<u><em>The question is</em></u>

How do you write an equation for a circle with center (-15,11) and radius 2?

we know that

The equation of a circle in center radius form is given by

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center of the circle

r is the radius of the circle

substitute the given vales

$(x+15)^2+(y-11)^2=2^2$

$(x+15)^2+(y-11)^2=4$

8 0

2 years ago

9. Determine how long it takes for 80% of the material to decay.

Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

$A(t) = A(0)e^{-kt}$

In which:

k is the decay rate, as a decimal.

A(0) is the initial amount.

The half-life is of 8 days, hence $A(8) = 0.5A(0)$ , and this is used to find k.

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-8k}$

$e^{-8k} = 0.5$

$\ln{e^{-8k}} = \ln{0.5}$

$-8k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{8}$

$k = 0.08664339757$

Hence:

$A(t) = A(0)e^{-0.08664339757t}$

The time it takes for 80% of the material to decay it t for which $A(t) = 0.2A(0)$ , hence:

$0.2A(0) = A(0)e^{-0.08664339757t}$

$e^{-0.08664339757t} = 0.2$

$\ln{e^{-0.08664339757t}} = \ln{0.2}$

$-0.08664339757t = \ln{0.2}$

$t = -\frac{\ln{0.2}}{0.08664339757}$

$t = 18.6$

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0

2 years ago

Whats the expanded notation method for 82x3

12345 [234]

80
× 3
------
240

2
× 3
------
6

5 0

2 years ago

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Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver is equally likely to make a fre

jek_recluse [69]

Answer: Then you turn the 6 to a 4 and the 2 into a 4 also. Because Oliver wanted the free throw and the free throw he missed turn both equal so you divide 8 with 2 and get 4.

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2 years ago

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One light year is defined as the distance light travels in 1 year. use this information to determine how many meters there are i

kogti [31]

9.461*10^15 or 9,461,000,000,000,000 meters.

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2 years ago