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3 years ago

Multiple Choice

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Answer:

c-b

Step-by-step explanation:

Rainbow [258]3 years ago

3 0

Thirty over eighty and six over eighteen

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Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also

n200080 [17]

Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

6 0

3 years ago

a side of a triangle was reduced by a scale factor of 2/3 if the new side is now 18 inches what was the original side

masha68 [24]

Answer:

Step-by-step explanation:

yeah-ya.......... right?

5 0

2 years ago

Read 2 more answers

What is the solution to this inequality?<br><br> −4x−8>−20

77julia77 [94]

Answer:

x < 3

Step-by-step explanation:

−4x − 8 > −20

Add 8 to both sides.

-4x > -12

Divide both sides by -4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.

-4x/(-4) < -12/(-4)

x < 3

4 0

3 years ago

Which theorem is the following?

lord [1]

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

$AB + BC = 10$

Where

$AB = BC$ --- Perpendicular bisector

So, the equation becomes

$AB + AB =10$

$2AB =10$

$AB = 5$

Recall: $AB = BC$

$AB = BC = 5$

7 0

3 years ago

Replacing the maximum value of the data set with a smaller number will also affect the mean. A:always B:sometimes C:never

olga nikolaevna [1]

Answer:

B: sometimes

Step-by-step explanation:

Let's look at two examples.

Example A.

2, 3, 5: mean is 3

Replace 5 with 1. Now you have 1, 2, 3: mean is 2.

In this case, it affected the mean.

Example B.

2, 3, 5: mean is 3

Replace 5 with 4. Now you have 2, 3, 4: mean is 3.

In this case, it did not affect the mean.

As you can see, replacing the maximum value of the data set with a smaller number may or may not change the mean.

Answer: B: sometimes

8 0

3 years ago