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3 years ago

If f (n)= - 3n + 2, what is the value of f(12) ?

Mathematics

2 answers:

adoni [48]3 years ago

7 0

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

Gemiola [76]3 years ago

3 0

f (n)= - 3n + 2

f(12) =-3(12)+2

= -36+2

= -34

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Which of the following steps is included in the construction of a perpendicular line through a point on a line?

Molodets [167]

Answer:

Connect arcs that are above the original line with a straightedge ⇒ 2nd

Step-by-step explanation:

* Lets revise how to construct a perpendicular line through a point

on the line

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1. Place your compass pin at P and draw an arc of any size below

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4. Without changing the distance of the compass place the

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5. Using a straightedge, to join P which is on the original line and E

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Connect arcs that are above the original line with a straightedge

* Remember:

- The step of Connect arcs that are above and below the given line

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- The step of Create arcs on either side of a point that is off the

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6 0

3 years ago

In converting 9 inches to yards, what unit (omit the number) would you place

Anna35 [415]

Answer:

9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

1 yard = 36 inches

2. In converting 9 inches to yards, what unit (omit the number) would you place in the numerator of your ratio?

This is the ratio for calculating the answer:

36/1 = 9/x

36x = 9 *1

36x = 9

x = 9/36

x = 1/4 or 0.25 yards

9 inches are 1/4 or 0.25 yards and we used inches in the numerator and yards in the denominator for our ratio.

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3 years ago

1. Let U the set of students of the university of Cambridge. Let the subsets of U:

Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0

2 years ago

What is the greatest negative integer

goldenfox [79]

There are infinite integers, even if they are negative.

7 0

4 years ago

find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent

Serjik [45]

Answer:

Option (1)

Step-by-step explanation:

By the property of alternate segment theorem,

"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"

m(∠EFG) = $\frac{1}{2}$ × m(minor arc FG)

minor arc FG = 2m(∠EFG)

= 2(76°)

= 152°

Therefore, Option (1) will be the correct option.

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3 years ago