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astraxan [27]
4 years ago
8

A carpenter is cutting dowels from a piece of wood that is 10 inches long. How many 1/2 inch dowels can the Carpender cut? Pleas

e help.. HOMEWORK IS DUE TODAY!
Mathematics
1 answer:
Assoli18 [71]4 years ago
6 0
If each dowel is .5 of an inch. Then 2 dowels can be made per inch. If there are 10 inches. Then 20 dowels can be made because 10*2 equals 20.
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Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist
charle [14.2K]

Answer: t = - 5 ∈ I_{1} = ( -∞ , -4 )

Step-by-step explanation:

The standard form of O.D.E is written as :

y^{1} + p(t) = g(t)

Equation given :

(16-t^{2} )y^{1} + 9ty = 5t^{2} ,       y(-5) = 1

The first thing to do is to write the O.D.E in standard form , that is we will divide through by 16 - t^{2} , so we have

y^{1} + \frac{9ty}{16-t^{2}}=\frac{5t^{2}}{16-t^{2}}

With this , we can see that p(t) and g(t) are both continuous in the same domain. Therefore , the intervals are :

I_{1} = ( -∞ , -4 )

I_{2} = ( - 4 , 4 )

I_{3} = ( 4 , -∞ )

recall that y(−5) = 1 , then t = -5

This means that :

t = - 5 ∈ I_{1} = ( -∞ , -4 )

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3 years ago
Can you please help me answer this picture​
natima [27]
<h2><u>EQUATIONS</u></h2>

We'll solve this equation:

<h3>5x + 17 = 4(3x - 1)</h3>

First, let's apply the distributive property:

‎      ‏‏‎5x + 17 = 4(3x - 1)

‎      ‏‏‎5x + 17 = 12x - 4

Now, add 4 to both sides of the equation:

‎      ‏‏‎5x + 17 = 12x - 4

5x + 17 + 4 = 12x - 4 + 4

‎      ‏‏‎5x + 21 = 12x

Substract 5x from both sides:

‎  ‎     ‏‏‎5x + 21 = 12x

5x - 5x + 21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 7x

Now, divide both sides by 7

‎      ‏‏‎‎   21 ÷ 7 = 7x ÷ 7

<h3>‎      ‏‏‎‎   ‎    ‏‏‎‎ 3 = x</h3>

Therefore, x = 3.

‎      ‏‏‎‎    

<h3>B. The equation has one solution.</h3>
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3 years ago
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Suppose Mahkah makes a Native American lunch in a pot that is shaped like a right cylinder. If
Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

  • Step 1: Find the volume of the right cylinder shaped pot.

Diameter of the pot = 8 in

⇒ Radius = 4 in

Height = 6 in

⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

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Sunny_sXe [5.5K]
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3 years ago
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