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ahrayia [7]
3 years ago
8

Simplify the expression 14+2y+3-6y

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0
<span>14+2y+3-6y=
14+3+2y-6y=
17-4y</span>
Liula [17]3 years ago
5 0

Answer:

Step-by-step explanation:

How do you simplify an expression?

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

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Rainbow [258]

Answer:

13

Step-by-step explanation:

A triangle is 180º. We have two angles; 60º and 60º

60+60 = 120

180-120 = 60º

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The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 23
dusya [7]

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

tan \: \theta = \dfrac{209}{d}

d= \dfrac{209}{tan\:\theta }

\boxed{d=517ft}

The distance between the cruise ship and the sailboat is 517 feet.

3 0
3 years ago
Given that weekly demand curve of a local wine producer is p = 50 − 0.1q, and that
rusak2 [61]

Answer:

Z(p) = -10p² + 600p - 6500

Step-by-step explanation:

Demand curve <em>p</em> = 50 - 0.1 <em>q</em>

Total cost function <em>C</em>(<em>q</em>) = 1500 + 10q

where q is the number of bottles produced each day and p is the selling prices per bottle.

Now, <em>p</em> = 50 - 0.1 <em>q</em>

o.1 <em>q = </em>50 <em>- p</em>

<em>q = </em>500 - 10<em>p</em>

Revenue = price × quantity =<em> p × q</em>

= <em>p</em> ( 500 - 10<em>p</em>)

= 500<em> p</em> - 10<em>p²</em>

Profit = total revenue - total cost

Let Profit be Z since profit is function of price, therefore

<em>Z(p) = pq - C(q)</em>

<em>Z</em> (p)=  500<em> p</em> - 10<em>p</em>² - (1500 + 10<em>q</em>)

Substituting the value of q in above expression,

<em>Z(p) </em>= 500 <em>p</em> - 10<em>p</em>² - ( 1500 + 10 (500 - 10<em>p</em>))

<em>Z(p)</em> = 500<em>p</em> -10<em>p</em>² - 1500 -5000 + 100<em>p</em>

<em>Z(p)</em> = -10<em>p</em>² + 600<em>p</em> - 6500

So, the weekly profit as a function of price p is Z(p) = -10p² + 600p - 6500.

3 0
4 years ago
If V= 1/3Bh, then what is the value of B?<br><br> Pls answer I need help with this question
gladu [14]

Answer:

Well B is the base of the shape

If thats what you mean

Step-by-step explanation:

5 0
3 years ago
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