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3 years ago

5x-(2x+2)=x+2(3x-5)

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

The correct answer to this equation is X=2.

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Hi I need question 5 solved using SOH CAH TOA!

Bond [772]

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

$cos(x)=\frac{27}{30}$

then, if we apply the inverse we can find the value of x,

$\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}$

Answer:

$x\cong25.8$

5 0

1 year ago

Given the rule, find the 8th term in the arithmetic<br> sequence.<br> an =3n + 4

dybincka [34]

Answer:

You simply substitute 8 for n

A₈ =3(8)+4=28

4 0

2 years ago

To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. T

scoundrel [369]

Answer:

$\sigma = 0.07770$

Step-by-step explanation:

Given

The above table

Required

The standard deviation

First, calculate the class mid-point. This is the average of the class interval.

The mid-point x is:

$x_1 = \frac{1}{2}(15.3 + 15.6) =\frac{1}{2} * 30.9 = 15.45$

$x_2 = \frac{1}{2}(15.6 + 15.9) =\frac{1}{2} * 31.5 = 15.75$

$x_3 = \frac{1}{2}(15.9 + 16.2) =\frac{1}{2} * 32.1 = 16.05$

$x_4 = \frac{1}{2}(16.2 + 16.5) =\frac{1}{2} * 32.7 = 16.35$

$x_5 = \frac{1}{2}(16.5 + 16.8) =\frac{1}{2} * 33.3 = 16.65$

So, we have:

$\begin{array}{cccccc}x & {15.45} & {15.75} & {16.05} & {16.35} & {16.65} \ \\ f & {14} & {25} & {84} & {18} & {9} \ \end{array}$

Calculate mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{15.45 * 14 + 15.75 * 25 + 16.05 * 84 + 16.35 * 18 + 16.65 * 9}{14 + 25 + 84 + 18 + 9}$

$\bar x = \frac{2402.4}{150}$

$\bar x = 16.016$

The standard deviation is:

$\sigma = \sqrt{\frac{\sum(x_i - \bar x)^2}{\sum f}}$

$\sigma = \sqrt{\frac{(15.45 - 16.016)^2+ (15.75 - 16.016)^2+ (16.05 - 16.016)^2+ (16.35 - 16.016)^2+ (16.65 - 16.016)^2}{14 + 25 + 84 + 18 + 9}}$

$\sigma = \sqrt{\frac{0.90578}{150}}$

$\sigma = \sqrt{0.00603853333}$

$\sigma = 0.07770$

4 0

3 years ago

Need help solving this for two points for a graph...3x+3=0

coldgirl [10]

3x + 3 = 0 //Subtract -3 on both sides

3x = -3 //Divide 3 on both sides

x = -1

Here x = -1 and y is all the values where x = -1, so basically from negative infinity to infinity.

Make sure when writing the solution, y is any value and x stays the same.

Solution: (-1,0) and (-1,1)

//Hope this helps

7 0

3 years ago

How do you reduce the fraction of 600 out of 25

erik [133]

Answer:

Step-by-step explanation:

600/25

25 goes into 600 24 times

so 600/25 could be reduced to a whole number, 24

4 0

3 years ago