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3 years ago

PLEASE ANSWER BOTH QUICK

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

3 0

Answer:

1.C

2.A

Step-by-step explanation:

dude trust me

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Suppose a scientist has 13 liters of acid and she needs 16 liters for an experiment.

vekshin1

B cause 13 plus x is equal to the 16 liters that u need and u already have 13 liters

3 0

3 years ago

Which of the following expressions are equivalent to

Alexus [3.1K]

Answer:

$(2^{6})^{\frac{1}{2} } , 4^{\frac{1}{2} } * 16^{\frac{1}{2} },8^{\frac{1}{2} } * 8^{\frac{1}{2}, \sqrt{16*4}$

Step-by-step explanation:

Some facts to establish before we try to solve: $\sqrt{64} =8$ and another way of writing $\sqrt{64}$ is $64^{\frac{1}{2} }$ . Also order of operations: PEMDAS

For the first option:

We solve what is in the parenthesis: 2*2=4*2=8*2=16*2=32*2=64 so $64^{\frac{1}{2} }$ , which is another way to write $\sqrt{64}$

For the second option: If the square root of 64 is 8, the there is no way we can multiply another value by it.

The third option: When dealing with square roots, we can solve the inside first and then take the square root:

$8^{2} *8^{2} = 64 * 64=$ definitely not 64 (though if you're curious it's 4096)

The fourth: Another way to write the square root is to raise the value to the 1/2 power so

$4^{\frac{1}{2} }* 16^{\frac{1}{2} }= \sqrt{4} *\sqrt{16} = 2*4=8$

Which is the same as $\sqrt{64}$

Fifth: Like the third, we solve the inside of the square root first

16*4= 64 and then $\sqrt{64}$

Sixth: We need a nice whole number (8), and $\sqrt{32}$ has no clean roots, so its result will have decimals. It can't be our answer

7 0

3 years ago

What is the volume of the triangular prism

zheka24 [161]

The answer is B!! hope this helps

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to (f + g)(4)?

Akimi4 [234]

Answer:

(f + g)(4) is equivalent to f(4) + g(4)

So, Option A is correct

Step-by-step explanation:

We need to find which expression is equivalent to (f + g)(4)

(f + g)(4) = f(4) + g(4)

So, (f + g)(4) is equivalent to f(4) + g(4)

So, Option A is correct

4 0

3 years ago

Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p

scZoUnD [109]

Answer:

The probability that they will teach different courses is $\frac{2}{3}$ .

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability that they will teach different courses as follows:

$P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}$

Thus, the probability that they will teach different courses is $\frac{2}{3}$ .

3 0

3 years ago