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3 years ago

The amount of a sample remaining after t days is given by the equation P(1) - Al2where A is the initial amount of

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

The answer is actually 74 days. I know how to algebraically solve this, however I am unsure how to transpose my work onto the computer.

Step-by-step explanation:

I can also tell you that edgenuity will say 74 is correct.

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures

aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

$x = \dfrac{140^{\circ}}{70} = 2^{\circ}$

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0

2 years ago

What is the length of ? A. 13 B. 9 C. 81 D. 11

andrew-mc [135]

Answer:

C. 81

Step-by-step explanation:

6 0

3 years ago

What is the greatest common divisor of 1665, 4554, 1683, and 4050?

atroni [7]

Nine(9) is the Greatest common divisor

7 0

3 years ago

Please explain so I know how to do it

Roman55 [17]

The square root of 2 is irrational. Because 2 is not a perfect square therefore the square root of 2 must be irrational. 1.4 is its approximate to the tenths place. I hope this was helpful

6 0

3 years ago

Can you help me i don’t know the answers

Advocard [28]

1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly $\frac{1}{3}$ does not pass the first criterion so we look at the second choice.

Let's come back to $\sqrt{2}$ and $\pi$ .

$\frac{2}{9}$ doesn't meet our first criterion, and let's skip $\sqrt{3}$ for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are $\sqrt{2}, \pi, e, \sqrt{3}$ . For now, it's just helpful to know these and recognize them.

So we can check off $\sqrt{2}, \pi$ and $\sqrt{3}$ .

2)

For this next question, we know that $\sqrt{64} = 8$ . Clearly this isn't irrational. Likewise, $\frac{1}{2}$ isn't irrational. $\frac{16}{4} = \frac{4}{4} = 1$ , which is rational, leaving only $\frac{ \sqrt{20}}{5} = \frac{2 \sqrt{5} }{5}$ . By process of elimination, this is the correct answer. Indeed, $\sqrt{5}$ is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say $x=0.36363636...$ . Would you agree that $100x=36.36363636...$ ? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

$100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}$

Voila!

4 0

3 years ago

Read 2 more answers