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Fed [463]
2 years ago
12

Simplify 3x + 4 (3+3) + 2 A. 7X+ 14B. 4x + 9 C. 3X+9 3x 9 D. 7x + 5​

Mathematics
1 answer:
kifflom [539]2 years ago
5 0

Answer:

3x+26

Step-by-step explanation:

Let's simplify step-by-step.

3x+4(3+3)+2

=3x+24+2

Combine Like Terms:

=3x+24+2

=(3x)+(24+2)

=3x+26

Answer:

=3x+26

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shutvik [7]

Answer:

a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

b) A∩ B =  { 2, 4, 6 }

c) A-B = { 8 , 10}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the sets

      U = { 1,2,3,4,5,6,7,8,9,10}

      A = { 2,4,6,8,10}

     B = { 1,2,3,4,5,6}

AUB = { 2,4,6,8,10} U  { 1,2,3,4,5,6}

AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

<u><em>Step(ii):-</em></u>

A∩ B = {  2 ,4, 6, 8,10} ∩ { 1,2,3,4,5,6} = { 2, 4, 6 }

A-B = { 2,4,6,8,10} - { 1,2,3,4,5,6} = { 8 , 10}

<u><em>Final answer:-</em></u>

a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}

b) A∩ B =  { 2, 4, 6 }

c) A-B = { 8 , 10}

5 0
3 years ago
A tourist at scenic Point Loma, California uses a telescope to track a boat approaching the shore. If the boat moves at a rate o
Taya2010 [7]

9514 1404 393

Answer:

  0.4424°/s

Step-by-step explanation:

We can get an answer to the desired accuracy by approximating the rate of change over a small time interval.

0.05 seconds before the time of interest, the boat will be ...

  210 +10(0.05) = 210.5

meters from shore. The angle of depression from the observer is ...

  tan(θ) = (35 m)/(210.5 m)   ⇒   θ = arctan(35/210.5) ≈ 9.440251°

Then 0.05 seconds after the time of interest, the angle of depression will be ...

  θ = arctan(35/(210-0.05(10))) = arctan(35/209.5) ≈ 9.484495°

The rate of change of angle of depression over that 0.1-second period is ...

  (9.484495° -9.440251°)/(0.1 s) ≈ 0.4424°/s

_____

<em>Additional comment</em>

If you write the function relating angle θ and time t, you would have ...

  θ = arctan(35/(210-10t))

The derivative of this with respect to time is ...

  θ' = 1/(1 +(35/(210-10t))²)×(350/(210 -10t)²) = 350/((210 -10t)² +35²)

At t=0, this is 350/(210² +35²) = 2/259 . . . . . radians per second

Then in degrees per second, the rate of change of angle is ...

  (2/259)(180/π) = 360/(259π) °/s ≈ 0.4424°/s

8 0
2 years ago
Vickie made a recipe for 144 fluid ounces of scented candle wax. How many 1-cup candle molds can she fill with the recipe
Gre4nikov [31]

there are 0.125 cups inside 1 fluid ounces

144 / 0.125 = 1152 (divide because you are trying to figure out how many of the volumes of the mold can fit inside the 144 fluid ounces

You can fill 1152 molds with 144 fluid ounces

3 0
3 years ago
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