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postnew [5]
3 years ago
11

1)Find the value of the monomial –0.125y4 for y=–2 2)Find the value of the monomial. 12x2y for x=–0.3, y= 1/6 3)Represent the fo

llowing expressions as a power of the number a (a≠0): ((a^2)^-2)^2
Mathematics
1 answer:
olga55 [171]3 years ago
5 0
Please, use " ^ " to denote exponentiation.

<span>1) Find the value of the monomial –0.125y^4 for y=–2

     Replace y with (-2):         </span>–0.125(-2)y^4<span>
                                         =   -0.125(16) = 2 (answer)
</span>
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Find the missing lengths!!!!!!!
Katen [24]

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = \sqrt{169} =  13

5 0
2 years ago
The runner has to race for 21km. She has to finish race before 1h 40min. What avarage speed She has to run to gain such goal?
abruzzese [7]

Answer:

The rate of the runner is 3.5 meters per second.

Step-by-step explanation:

To get this answer in meters per second, we first have to convert each of the terms into either meters or seconds. We can do that by multiplying by unit rates.

21 km * 1000 = 21,000 meters

1 hour * 3600 = 3,600 seconds

40 minutes * 60 = 2,400 seconds

Now we divide the meters by the total number of seconds to get the rate.

21,000 meters / (3,600 + 2,400) secs

21,000 meters / 6,000 secs

3.5 meters per second.

7 0
3 years ago
The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacemen
mamaluj [8]
<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

7 0
3 years ago
PLEASE HELP Im DESPERATE ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
iren [92.7K]

Put 40y and 25.5

Step-by-step explanation:

I js did it lol

7 0
2 years ago
Calculate the missing length for this cylinder
Snezhnost [94]
I assume by the length you mean height so,

\frac{6908}{ \pi * 22^{2} } ≈ <span>4.54.

if you're supposed to round it, it'd be either 4.50, or 5
</span>
I hope this helps
5 0
3 years ago
Read 2 more answers
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