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aivan3 [116]
2 years ago
15

What expression is equal to (3x^2yz) (5xy^3z^2)

Mathematics
1 answer:
Svetlanka [38]2 years ago
8 0
Your Answer is <span>15x^3y^4z^3</span>
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At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $30.00. Which graph represents the amount of revenue the s
Alexxandr [17]

Answer:

y=15x

Step-by-step explanation:

revenue=cost of hair cut(number of haircuts)

3 0
3 years ago
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How do you do substitutional word problems?
diamong [38]
By multiplying and division
6 0
3 years ago
A greeting card company can produce a box of cards for $7.50. If the initial investment by the company was $50,000, how many box
larisa86 [58]

Answer:

If cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

Step-by-step explanation:

The cost of one box of cards = $7.50

Initial investment = $50,000

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/7.50

No of box of cards produced = 6667 cards.

if the cost of one box of cards is increased = $10.50

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/10.50

No of box of cards produced = 4762 cards.

So, if cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

5 0
3 years ago
Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground
Scorpion4ik [409]

Answer:

125.4\ \text{m/s}

Step-by-step explanation:

u = Initial velocity of baseball

\theta = Angle of hit = 30^{\circ}

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

y_0 = Height of hit = 2.5 ft

a_y = g = Acceleration due to gravity = 32.2\ \text{ft/s}^2

t = Time taken

Displacement in x direction

x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}

Displacement in y direction

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}

The minimum initial velocity needed for the ball to clear the fence is 125.4\ \text{m/s}

5 0
3 years ago
Alex is using synthetic division to divide x^3+4x^2-43x-10 by x-5 <br><br> Which answer is correct?
pantera1 [17]

Answer:

The answer to your question is: The second option is correct

Step-by-step explanation:

Data

                         x³  +  4x²  -  43x  -  10 by  x-5

Synthetic division

                       1        4      -43       - 10             5

                                5        45         10                                                        

                        1       9         2           0

  Result                   x² + 9x + 2

8 0
3 years ago
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