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nirvana33 [79]
2 years ago
13

4(3+1/4c-1/2d) apply the distributive property to create a equivalent expression

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
5 0
Answer iiiiiiis -2d+c+12

mina [271]2 years ago
5 0

Answer:

4(3+\frac{1}{4}c-\frac{1}{2}d  )=12+c-2d

Step-by-step explanation:

The given expression is

4(3+\frac{1}{4}c-\frac{1}{2}d  )

If we apply the distributive property, we must multiply 4 by each term inside the parenthesis, as follows

3 \times 4 + \frac{1}{4}c \times 4-\frac{1}{2}d \times 4=12+c-2d

Therefore, the equivalent expression is

4(3+\frac{1}{4}c-\frac{1}{2}d  )=12+c-2d

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The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22
NISA [10]

Answer:

a) v(2\,s) = 2.9\,\frac{m}{s}, b) v(4\,s) = -16.7\,\frac{m}{s}, c) t = 2.296\,s, d) h (2.296\,s) = 27.829\,m, e) t \approx 4.679\,s, f) v(4.679\,s) = -23.354\,\frac{m}{s}

Step-by-step explanation:

The velocity function can be derived by the differentiating the height function:

v = 22.5-9.8\cdot t

Velocities after 2 and 4 seconds are, respectively:

a) v(2\,s) = 2.9\,\frac{m}{s}

b) v(4\,s) = -16.7\,\frac{m}{s}

The maximum height is reached when velocity is zero. Then:

22.5-9.8\cdot t = 0

c) t = 2.296\,s

The maximum height is:

d) h (2.296\,s) = 27.829\,m

The time required to hit the ground is:

-4.9\cdot t^{2}+22.5\cdot t +2 = 0

Roots of the second-order polynomial are:

t_{1} \approx 4.679\,s

t_{2} \approx -0.087\,s

Only the first root is physically reasonable.

e) t \approx 4.679\,s

The velocity when the projectile hits the ground is:

f) v(4.679\,s) = -23.354\,\frac{m}{s}

7 0
2 years ago
A manufacturer of skis offered chain discounts of 10/5/4 to many of its customers. Joe Jones ordered skis that had a total list
expeople1 [14]
,Okay, so here is how to calculate the amount of the trade discount:

I: $149,500 * .10 (10%) = 14,950 (this is the 10% discount)
149,500 - 14,950 = 134,550 (how much it costs with a 10% discount)

II: 134,550 * .5 (5%) = 6727.50
134,550 - 6727.50 = 127,822.50

III: 127,822.50 * .4 (4%) = 5112.90

The amount of the trade discount is: $14,950 + $6727.50 + $5112.90 = 26,790.40 dollars.
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2 years ago
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