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professor190 [17]
3 years ago
6

Steps for this equation 6(3e-8)=5e+43

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

  e = 7

Step-by-step explanation:

Eliminate parentheses using the distributive property.

  18e -48 = 5e +43

  13e -48 = 43 . . . . . . . . subtract 5e from both sides

  13e = 91 . . . . . . . . . . . . add 48 to both sides

  e = 7 . . . . . . . . . . . . . . divide both sides by 13

_____

<em>Comment on equation solving</em>

If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.

After the numbers in the equation are mainly integers or decimals, the next step is to look to see where the variable of interest is located. You want to do what it necessary to put all of the variable terms on one side of the equal sign, and everything else on the other side. The procedure generally is to decide what you don't want, and subtract that from both sides of the equation.

Finally, you divide by the coefficient of the variable, so the variable stands alone on one side of the equal sign. This shows you the solution.

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Step-by-step explanation:

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3 years ago
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In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
podryga [215]

<u>Given</u>:

Given that JKL is a right triangle.

The measure of ∠L is 90°

The length of JL = 24, LK = 7, and KJ = 25.

We need to determine the value of sine of ∠K.

<u>Value of sin ∠K:</u>

The value of sin ∠K can be determine using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=K, the side opposite to angle K is JL and the hypotenuse is JK

Thus, we have;

sin \ K=\frac{JL}{JK}

Substituting JL = 24 and JK = 25, we get;

sin \ K=\frac{24}{25}

Simplifying, we get;

sin \ K=0.96

     K=sin^{-1}(0.96)

     K=73.74^{\circ}

Thus, the measure of sine of ∠K is 73.74°

6 0
3 years ago
Can to answer all 4 please?
Tasya [4]
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3 years ago
Given that 7x – 2y = 30
weeeeeb [17]

Answer:

x=32/7

Step-by-step explanation:

7x-2(1)=30  Plug in 1 as y and simplify.

7x-2=30     Add 2 on both sides of the equation.

  <u>+2 +2</u>

7x=32         Divide both sides of the equation by 7.

<u>/7   /7</u>

x=32/7

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3 years ago
A mass oscillating up and down on the bottom of a spring can be modeled as harmonic motion. if they weight is displaced a maximu
snow_tiger [21]

9514 1404 393

Answer:

  1.63 cm (across the centerline from release)

Step-by-step explanation:

If we assume time starts counting when we release the weight from its fully-extended downward position, then the position at 1.15 seconds can be found from ...

  h(t) = -7cos(2πt/4)

  h(1.15) = -7cos(π·1.15/2) = -7(-0.233445) ≈ 1.63412 . . . cm

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If it is released from <em>above</em> the resting position, it will be 1.63 cm <em>below</em> the resting position at t=1.15 seconds.

6 0
3 years ago
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