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3 years ago

Assume a and b are whole numbers, and a>b. Which expression has the least value?

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

a > b

A . a^5b^3/ab^4 = a^4/b

B. a^4 / a*a*a*a = a^4 / a^4 = 1

C. ab^2 / a^2b = b/a

D. b*b*b/b^3 = b^3/b^3 = 1

B and D, doesn't matter what values of a and b it's always equal 1

Lets say a = 2 and b = 1

A. a^4/b = 2^4 / 1 = 16/1 = 16

C. b/a = 1/2 = 0.5

So C has the least value

Answer:

ab^2 / a^2b

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Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which statements are true? 5 ∉

-Dominant- [34]

x+2 > 10 solves to x > 8 after we subtract 2 from both sides

So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.

Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.

----------------

Summarizing everything, we can say...

5 is not in set A. True

5 is in set B. False

6 is in set A. False

6 is not in set B. False

8 is not in set A. True

8 is in set B. True

9 is in set A. True

9 is not in set B. False

5 0

2 years ago

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A 14-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 fee

timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

$hyp^2 = a^2 + b^2$

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

$14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet$

The wall reaches 10.7 feet high.

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3 years ago

Two percent of half a number is 5. What is the number ?

Anika [276]

Answer:

500

Step-by-step explanation:

If 1% is 2.5 then 100% is 250. Since 250 is half of a number, you went then multiply by 2 to double that number which is 500.

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2 years ago

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Seventy four point three times five point four

kherson [118]

401.22

Hope this helps!

May I have brainliest please? :D

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2 years ago

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At a family reunion, a family friend bring 20 lb of ice and 30 cup. Which expression show the greatest common factor , using dis

Zepler [3.9K]

Answer:

10(2+3)

Step-by-step explanation:

We are given that

Ice=20 lb

Cup=30

We have to find the expression which shows the greatest common factor using distributive property of 20 and 30.

We know that distributive property of integers a,b and c

$a\cdot(b+c)=a\cdot b+a\cdot c$

$20=2\times 10$

$30=3\times 10$

$10(2+3)=10\times 2+10\times 3$

Hence, the highest common factor of 20 and 30=10

Expression:10(2+3)

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3 years ago