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1 year ago

4w + 13 = 81 | simplify your answer as much as possible

Mathematics

2 answers:

DochEvi [55]1 year ago

8 0

Answer:

w = 17

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 13 from both sides of the equation:

4w + 13 (-13) = 81 (-13)

4w = 81 - 13

4w = 68

Next, divide 4 from both sides of the equation:

(4w)/4 = (68)/4

w = 68/4

w = 17

w = 17 is your answer.

Aleks [24]1 year ago

7 0

Answer:

w=19.5

Step-by-step explanation:

4w+13=81

4w=81-13

4w=68

w=68÷4

w=17

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Please help me solve this

Viktor [21]

You can factor the 32 out of the sum:

$\displaystyle \sum_{m=1}^\infty 32 \cdot \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1}$

We can also change the index as follows

$\displaystyle 32\sum_{m=1}^\infty \left(\dfrac{1}{2}\right)^{m-1} = 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m}$

Now, we have a theorem that states that the series

$\displaystyle \sum_{m=1}^\infty a^m$

converges if and only if $|a|$ , and in this case we have

$\displaystyle \sum_{m=1}^\infty a^m = \dfrac{1}{1-a}$

This is your case, because you have

$|a|=\dfrac{1}{2}$

which implies that your series converges, and the value is

$\displaystyle 32\sum_{m=0}^\infty \left(\dfrac{1}{2}\right)^{m} = 32 \cdot \dfrac{1}{1-\frac{1}{2}} = 32\cdot 2 = 64$

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What is 3x+2x(x-1)=9x+4

Korvikt [17]

3x+2(x-1)=9x=4
We move all terms to the left:
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We add all the numbers together, and all the variables
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2 years ago

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

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