Help on logarithmic equation

Answers

Answer 1

Answer: $\log _( 2 ){ \left( 3-x \right) } +\log _( 2 ){ 5 } =2\log _( 3 ){ 5 } \n \n \log _( 2 ){ \left( 5\left( 3-x \right) \right) } =\log _( 3 ){ \left( { 5 }^( 2 ) \right) } \n \n { 2 }^{ \log _( 3 ){ 25 } }=5\left( 3-x \right) \n \n { 2 }^{ \log _( 3 ){ 25 } }=15-5x\n \n 5x=15-{ 2 }^{ \log _( 3 ){ 25 } }\n \n x=\frac { 15 }{ 5 } -\frac { { 2 }^{ \log _( 3 ){ 25 } } }{ 5 } \n \n x=3-\frac { { 2 }^{ \log _( 3 ){ 25 } } }{ 5 }$

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Which expression is equivalent to 27 + 45?8(3 + 6) 8(19 + 37) 9(3 + 5) 9(18 + 36)

If Jimmy has 530 pieces of paper and Kit comes along and gives him 18 times as much, how many pieces of paper Jimmy have? And if Kit takes 23 pieces away how much does Jimmy have now?

Answers

Answer:

10,070 and 10,047 pieces respectively

Step-by-step explanation:

In this question, we have 2 questions to answer.

Firstly, we are told that Jimmy has 530 pieces of paper and kit comes along to give him 18 times as much, we need to know how much he has now.

Since he was given 18 times as much, the amount given would be 18 * 530 = 9,540

The amount he has now would be 9,540 + 530 = 10,070 paper pieces

Secondly, Kim comes along to take 23 pieces away, we need to know how much pieces he has now. What to do is simply to

Subtract 23 from the previous pieces = 10,070 - 23 = 10,047 pieces of paper

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution.{23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38}

Answers

To characterize the distribution, the data have to be put into a frequency distribution graph.

After graphing the data, the distribution is a bit skewed to the right although it could be considered symmetrical.
Here are the values that define the central tendency:
mean = 22.79
median = 23
mode = 23

The three are almost equal. So, the distribution can be classified as symmetrical.

Answer:

Step-by-step explanation:

The given data set is:

23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38

firstly arrange the given data set in ascending order, we have

1, 7, 12, 14, 17, 18, 18, 23, 23, 23, 23, 24, 27, 28, 29, 32, 33, 38, 43

Now, Mode is the observation point which occurs frequently in the given data set, thus

Mode=23

Mean is given as:

$Mean=(sum of observations)/(total no. of observations)$

$Mean=(433)/(19)=22.7$

$Mean$ ≈ $23$

Median of the given data set is the middle value of the given set, thus

Median=23

Hence, the value that would best describe the central tendency is 23. Since, the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

1. Raymond is repairing wires on a radio broadcast tower. He is in a basket of the repair truck40m from the tower. When he looks up, he estimates the angle of elevation to the top of the
tower as 42°. When he looks down, he estimates the angle of
depression to the bottom of the tower as 32°. How high is the tower
to the nearest tenth of a metre?

Answers

The required height of the tower is given as 61 meters.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

What are Pythagorean triplets?

In a right angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.

here,
To determine the height of the tower,
h = 40 tan 32° + 40 tan 42°
h = 61 m

Thus, the required height of the tower is given as 61 meters.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

Answer:

Step-by-step explanation:

h = 40 tan 32° + 40 tan 42° ≈ 61.0 m

Solve 2/3 (6x+30)=x+5(x+4)–2x

Answers

expand the left hand side of the equation first. this is easy since two thirds of six is four and two thirds or thirty is twenty.
4x + 20 = x + 5(x+4) - 2x
expand the right hand side :
4x + 20 = x + 5x + 20 -2x

Collect up all the x terms on the right hand side: 4x + 20 = x + 5x - 2x + 20
So the total number of "x" 's on the right hand side is 1 + 5 -2 = 4
4x + 20 = 4x + 20
Hey ! look at that ! you've got the same thing on both sides of the equation ! this means that it doesn't matter what value x is, the equation works for ALL values of x . ( ANSWER)

You have a box that measures 11
inches on each side. What is the
volume of that box

Answers

Answer:

1,331in^3

Step-by-step explanation:

Substitution method-
r = -3s
r= 10 - 4s

Answers

$r=-3s\nr=10-4s\n\n-3s=10-4s\ \ \ \ |add\ 4s\n-3s+4s=10\ns=10\n\nr=-3\cdot10=-30$

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