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Natali [406]
3 years ago
14

5(2x-3-4z) Use the distributive property to rewrite the expression above​

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0
Answer= 10x-15-20z

Step by Step Explanation:

5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.
Mazyrski [523]3 years ago
3 0

Answer:

= 10x-15-20z

Step-by-step explanation:

5 x 2=10 add the x to the end

5 x 3=15

5 x 4= 20 add the z to the end

Hope this helps (:

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di
lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0
3 years ago
A conversion factor can be written _________ different ways. How do you select the most appropriate conversion factor?
DochEvi [55]

Answer:

can be written two ways

Step-by-step explanation:

A conversion factor is written based on the equality between the two units

5 0
3 years ago
Read 2 more answers
What times what times what times what equals -5/24 i need two different ways please help
saul85 [17]

Answer:

;fjk;rofkfk;;fkslgl;fkfls'rfi;,dfei;se;feieirjeiljlaejre

sfe;jflejflseleijflskfeselselehf

Step-by-step explanation:

ueufaepfsfjseuefkeou;oiwrrsdkuijksgukuisdjyfekefaehkf

4 0
3 years ago
16^5/4•16^1/4/(16^1/2)^2
Kazeer [188]

Answer:

The simplified expression is 16^-1/6

Step-by-step explanation:.

16^5/4•16^1 /4/ (16^1/2)^2

The dot means multiplication. The expression is rewritten as

16^5/4 × 16^1/4 / (16^1/2)^2

Recall the following rules of indices

1) y^a × y^b = y^(a+b)

2) (y^a)^b = y^ab

y^b/ y^a = y^(b-a)

Applying these rules of indices

16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)

(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16

Therefore

16^5/4 × 16^1/4 / (16^1/2)^2

= 16^(5/16) /16

=16^(5/6) × 16^-1

= 16^ (5/6)-1

= 16^-1/6)

,The simplified expression is 16^-1/6

8 0
3 years ago
Is x = 12 a solution to the equation 6 + x = 19
gladu [14]

Answer:

Incorrect.

Step-by-step explanation:

6 + x = 19

Plug in when x = 12

6 + 12 = 19

18 = 19

It is incorrect, so 12 is not a solution.

7 0
3 years ago
Read 2 more answers
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