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AleksandrR [38]
1 year ago
10

Factor 169-4d^2 and identify the perfect square

Mathematics
1 answer:
nexus9112 [7]1 year ago
4 0

By definition, a Perfect square is a number that is the square of an Integer.

In this case, you have the following expression given in the exercise:

169-4d^2

You can identify that:

169=13\cdot13=13^2

Therefore, it is a Perfect square.

Notice that:

4d^2=(2d)^2

Therefore, it is a Perfect square.

For this case you must apply the Difference of two squares is:

a^2-b^2=(a+b)(a-b)

Then, you can factor the expression:

=-(2d-13)(2d+13)

The answers are:

- Factored expression:

-(2d-13)(2d+13)

- ´Perfect squares:

\begin{gathered} 169=13^2 \\ 4d^2=(2d)^2 \end{gathered}

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By definition, the volume of a sphere is given by:
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 answer
 the best estimate for the volume of air in the balloon in cubic inches is
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3 0
3 years ago
Read 2 more answers
What is the counter example for 'if you do not eat beef then you're not vegetarian'
slamgirl [31]

Answer: If you're not vegetarian, then you do not eat beef.

Step-by-step explanation:

Dismiss the 'if' and 'then':

- you do not eat beef

- you're not vegetarian

Now, all you have to do is switch their places:

- you're not vegetarian

- you do not eat beef

Now add the 'if' and 'then' back:

If you're not vegetarian, then you do not eat beef.

4 0
3 years ago
Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every
pshichka [43]

The survey was intended for Bill's middle school during the summer. The

survey was administered to students of other schools on a Saturday.

  • The type of error is the <u>selection bias error</u>.

Reasons:

The type of error made is a non sampling error, given that the target of the

study is the number of times in a week students at his middle school

attend the beach during the summer.

The errors are; Selection bias error.

  • The given that the students survey are not from his middle school.
  • The survey was carried out once on a Saturday, where the target was during the summer.

The selection bias error is a type error that is due to the researcher

chooses what to study, such that the participant have common

characteristics rather than being random.

Learn more about selection bias error here:

brainly.com/question/13727092

7 0
2 years ago
A bicycle manufacturing plant is producing the first few frames for their new electric bicycle design. The first batch of 60 fra
Dmitry_Shevchenko [17]

Answer:

a) 131/450

b) 1233/1276  

Step-by-step explanation:

P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)

p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)

= 43/180  

And that of  P(good )

= 1 - 43/180

= 137/180

a)

P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)

= (43/180)*(9/10) + (137/180)*(1/10)

= 131/450

b)

P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)

= (137/180)*(1 - 1/10) / (1 - 131/450)

= 1233/1276  

5 0
3 years ago
Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get t
topjm [15]

Answer: 158

Step-by-step explanation:

Okay so the total is 9 5/10.

Each party goer needs 6/10

So 95/10 / 6/0=. 95/10x10/6

=950/6 = 158.

7 0
2 years ago
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