18. The half-life of a radioactive isotope is 7 years.

Mathematics

2 answers:

lutik1710 [3]2 years ago

6 0

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

maxonik [38]2 years ago

4 0

Answer:

i’m not sure

Step-by-step explanation:

i’m not sure

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Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤

Flura [38]

What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0.

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

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The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.

7 0

2 years ago

Will give brainliest to whoever replies with the correct answer. (Question is in the image)

EastWind [94]

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)

Distribute: 3x + 3 = 6x - 18

Combine like terms: 21 = 3x

Solve for 'x': x = 7

5 0

3 years ago

80 POINTS ANSWER QUICKLY (and correctly)

andrew11 [14]

Answer:

……………………………………………………………

3 0

2 years ago

HELP 5 STAR + THANKS What series of transformations from △ABC to △DEF shows that △ABC≅△DEF ? a reflection across the y-axis

nirvana33 [79]

In the given triangle, the verteces are A(-4, 1), B(-6, 5), C(-1, 2).
A refrection across the x-axis will result in A'(-4, -1), B'(-6, -5), C'(-1, -2)
A translation of 1 unit to the right will result in A"(-3, -1), B"(-5, -5), C"(0, -2)
A translation of 1 unit down will result in A"'(-3, -2), B"'(-5, -6), C"'(0, -3) which corresponds to points DEF.
Therefore, the series of transformation required to transform ABC to DEF are <span>a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down.</span>

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2 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$