Evaluate the logarithm.

Evaluate The Logarithm.

Answers

Answer 1

Answer:

-7.1931540532314155

Step-by-step explanation:

-7.1931540532314155


Related Questions

The mean of continuous data having term 100 is 20.find the sum of terms

Answers

Answer:

2000

Step-by-step explanation:

let the sum of the two terms be,x

Then,

x/100=20

where

100=no. of terms

20=mean

Then,

x/100=20

x=20×100

x=2000

So,

Sum of terms=2000

Compare and contrast dot plots and histograms. Make a list of the benefits and downsides of each.

Answers

A dot plot displays the individual data values and a histogram displays data ranges along the x-axis and uses rectangular bars to show the frequencies of values that fall into each range.

How to illustrate the information?

It should be noted that dot plots, histograms, and box plots are all common graphical ways to represent data sets.

The dot plot represents data by placing a dot for each data point. Also, the histogram groups the data into ranges and then plots the frequency that data occurs in each range.

The similarities is that the dot plot and the histogram can more easily tell us the mode of our data set. A dot plot gives you a visual idea of your data, but histogram gives you additional information.

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The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity.
Based on the scatterplot, which equation BEST represents the relationship between velocity and time?

Answers

The regression equation that represents the relationship between velocity and time is:

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (t,v), that is, time and velocity, are given as follows:

(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).

Hence, inserting these points into a calculator, the equation is given by:

v = 2.19t + 6.7.

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The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.03) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2012?

Answers

Answer:

343.608 million to nearest thousand.

Step-by-step explanation:

Projected annual percent of growth = 3%  ( from the values 1.03 in the equation)

Worth is 2012 ( 12 years after 2000) is:

241(1.03)^12

= 343.608 million

10) James earned $3,000 interest
on an investment that he put in
the bank for 6 years with a 5%
interest rate. How much was his
initial deposit?

Answers

Answer:

Step-by-step explanation:

assuming that he has an annual interest of 5% then his initial deposit would be rounded to $2,238.65

Which property is shown in the following statement?

(46 + 17) + 3 = 46 + (17 + 3)

associative property of addition
commutative property of addition
identity property of addition

Answers

Answer:

Associative property of addition.

Step-by-step explanation:

The location of the parentheses makes no difference to the sum of these numbers.

The property shown in the statement "(46 + 17) + 3 = 46 + (17 + 3)" is the associative property of addition.

The associative property of addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum

In the given statement, we have three numbers being added: 46, 17, and 3. The statement shows that the addition is grouped differently on each side of the equation, but the result is the same.

On the left side, we have (46 + 17) + 3.

This means we first add 46 and 17, which equals 63. Then we add 3 to the sum, resulting in 66.

On the right side, we have 46 + (17 + 3). Here, we first add 17 and 3, which equals 20. Then we add 46 to the sum, also resulting in 66.

As we can see, no matter how we group the numbers being added, the final sum is the same. This demonstrates the associative property of addition.

Therefore, the property shown in the given statement is the associative property of addition.

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What is the value of y?

Enter your answer in the box.
y =

Answers

Answer:

64°

Step-by-step explanation:

This is a question on angle properties.

Angle y + 37 + 79 = 180 (Sum of angles in a triangle)

Angle y + 116 = 180

Angle y = 180 - 116 = 64°

Given these facts, determine how many cans of paint you would need to buy to paint 2 walls.

1st wall: 20 ft. x 8ft.
2nd wall: 40ft. x 8ft.
1 can will cover 200 square feet of wall.

Answers

You will need 3 cans of paint to cover the two walls

How many cans of paint will you need?

We know that 1 can will cover 200 square feet of wall.

And here we have 2 walls, let's find the total area of these walls.

wall 1 is 20ft by 8ft, then its area is:

A = 20ft*8ft = 160ft^2

wall 2 is 40t by 8 ft, then its area is:

A'  = 40ft*8ft = 320ft^2

The total area is:

160ft^2 +  320ft^2 = 480ft^2

The number of cans of paint needed is given by the quotient between the total area and the area that each can cover.

N = 480ft^2/200ft^2 = 2.4

But we can't have a 0.4 of a can, so we should round to the next whole number, which is 3.

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Which table represents a linear function?


The table shows the number of grapes eaten over several minutes.


What is the rate of change for the function on the table?

15 grapes eaten per minute
15 minutes to eat each grape
60 grapes eaten per minute
60 minutes to eat each grape




Answers

The rate of change for the function on the table is; 15 grapes eaten per minute.

What is the rate of change of the function described by the table?

It follows from the complete question that the table given indicates that;

after 1min, 15 grapes had been eaten,

after the next minute, 30 grapes had eaten,

after the 3rd minute, 45 grapes had already been eaten.

On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

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As of 2018, approximately what percentage of americans rely upon television broadcasts for their news?

Answers

More than 50% of Americans rely upon television broadcasts for their news.

News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.

It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.

Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.

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Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is Wilma's pay for this work period? Round your answer to the nearest hundredth..

Answers

The total pay for hours worked is $980.013

Calculating total pay for the work hours?

The method with which a daily worker's wage is being paid is by calculating the total hours worked and multiplying it with the fixed hourly pay.

From the information given:

Wilma worked for = 38 hours 52 minutes

In hours, we have:

= (38 + 0.9667) hours

= 38.9667 hours

If a fixed hourly pay of $25.15 is being paid, we have:

= $(38.9667 × 25.15)

= $980.012505

= $980.013 to the nearest hundredth.

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help ASAP!!!!!!!!!!!!!!!​

Answers

Answer: 4.0 * 10^0 kg = 4.0 kg essentially

Step-by-step explanation:

No need to convert these to numbers...

Weight of 1 bee: 1 * 10^-4 = (0.0001 kg)

Number of bees: 4 * 10^4 = (40000 bees)

(1 * 10^-4) * (4 * 10^4) =

(1 * 4) * (10^-4 * 10^4) =

(10^0 because when multiply exponential numbers, you add the exponents)

4 * 10^0 =

4 * 1 = 4 kg

My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?

Answers

Using proportions, it is found that the value of n is of [tex]n \geq 11[/tex].

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

On the first 15 games, the team wins 2 games and losses 13. Then, in each week, the team plays 3 games, winning 2. Then:

After n weeks, the team will have won 2 + 2n games.After n weeks, the team will have played 15 + 3n games.

The proportion of wins is given as follows:

[tex]\frac{2 + 2n}{15 + 3n}[/tex]

The proportion is of at least 50%, hence:

[tex]\frac{2 + 2n}{15 + 3n} \geq 0.5[/tex]

We solve the inequality for n, similarly to how we would solve an equality, applying cross multiplication. Then:

[tex]2 + 2n \geq 7.5 + 1.5n[/tex]

[tex]0.5n \geq 5.5[/tex]

[tex]n \geq \frac{5.5}{0.5}[/tex]

[tex]n \geq 11[/tex]

The value of n is of [tex]n \geq 11[/tex].

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Please help me with algebra 2 questions!

Answers

Answer:

5B; 7B; 1,024; see answer

Step-by-step explanation:

5.

We can see from the table that

a1 = 5

a2= 5·2 = 10

a3= 5·2·2 = 5·2² = 20

a4 = 5·2·2·2 = 5·2³ = 40

...

[tex]a_{n} = 5*2^{n-1}[/tex]

7.

Is given that the filter removes 90% of contaminated air

after run 1 :

100% air

90% contamination removed for 100% air

100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%

10% is still contaminated air

after run 2:

10% air

90% contamination removed for 10% air

10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%

1% is still contaminated air

after run 3:

1% air

90% contamination removed for 1% air

1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%

.1% is still contaminated air

11.

Figure 1 = 1 piece

Figure 2 = 4 pieces

Figure 3 = 4² = 16

...

[tex]Figure 6 = 4^{(6-1)} = 4^{5} = 1024[/tex]

12.

[tex](c+d)^{6} \\[/tex]

-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1

-we start with c to the lowest power 0 and d to the highest power 6  and end with  d to the lowest power 0 and c to the highest power 6

[tex](c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}[/tex]

-we simplify to have the final answer:

[tex](c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}[/tex]

Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1

Answers

The sum of the convergent series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex] is 5.31

For given question,

We have been given a series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex]

[tex]\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n[/tex]

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is [tex]a_1=sin(1)[/tex]

So, the sum is,

= [tex]\frac{a_1}{1-r}[/tex]

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

[tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex]

= [tex]\frac{sin(1)}{1-sin(1)}[/tex]

= [tex]\frac{0.8415}{1-0.8415}[/tex]

= [tex]\frac{0.8415}{0.1585}[/tex]

= 5.31

Therefore, the sum of the convergent series [tex]\sum_{n=1}^{\infty}~(sin(1))^n[/tex] is 5.31

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In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.

Answers

The equation that solve for x is as follows;

70 + 60 + x = 180

How to find an angle?

The equation that can be used to find the measure of angle x can be found as follows:

60 + 70 + y = 180

Therefore,

130 + y = 180

subtract 130 from both sides

130 - 130 + y = 180 - 130

y = 50°

70 + 60 + x = 180

130 + x = 180

x = 180 - 130

x = 50°

x and y are  vertically opposite angles.

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A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.

Rounded to the nearest tenth, what is the difference between the possible values of x?

3.0 units
3.4 units
6.4 units
8.0 units

Answers

Answer: B

Step-by-step explanation:

Answer:

3.4 units

Step-by-step explanation:

The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15

Answers

Answer:

2.57

Step-by-step explanation:

The mean absolute deviation(MAD) of a data set is given by the formula

[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]

n = number of data set values. Here n=7

[tex]\bar{x}=[/tex]mean of the data set values   = [tex](20+16+21+16+22+16+ 15)/7 = 126/7 = 18[/tex]

[tex]x_{i}[/tex] are the n individual values

Substituting in the summation we get

MAD = [tex]\frac{1}{7} |20-18| + |16-18| + |21-18| + |16-18| + |22-18| + |16-18| + |15-18|\\= (2 + 2 + 3 + 2 + 4+ 2 + 3)/7\\= 18/7 = 2.571428 \\[/tex]

Rounded to the nearest hundredth, the answer is 2.57


Which point is the circumcenter of the triangle?
A) E
B) G
C) F
D) D

Answers

Answer: Point D

Reason:

The circumcenter is found by intersecting the perpendicular bisectors of each segment of the triangle.

As you can see, the circumcenter is the center of the circumcircle. This special circle is the smallest possible that wraps the triangle so to speak. The vertices of the triangle are on the circle.  The distances AD, BD and CD are all the same.

Please help!! Which figures demonstrate a single translation?

Select each correct answer.

Answers

Answer:

the top 2 and the left bottom corner

Step-by-step explanation:

the first one in the first row is a reflection

the second one in the first row is a rotation

the one on the left bottom corner just moved a unit

Answer:

Option 3

Step-by-step explanation:

The first answer is a reflection across the y-axis, the second is a rotation, and the last one is two translations. So, the third one is correct because it's the only single translation.

20 points !!!
help me please !!

Answers

Minimum: 59

Lower Quartile: 67

Median: 76

Upper Quartile: 86

Maximum: 92

Interquartile Range: 19

5. During the season, the Rangers played 25 games. They won 14 of the games.
What fraction and percent of the games did they lose? Show your work in the
space below. Remember to check your solution.

Answers

Answer is 11/25 games lost which is 44%.

Step by step. 25 games minus 14 they won equals 11 games lost out of 25.

11 out of 25 = 11/25.

11/25 as a % - 11 divided by 25 = .44 which is 44%.

Check your work, 44% of 25 games = 11 games lost.
Problem solved.

-2x + 7x +34 = -2(1-7x)

Answers

           [tex]\boldsymbol{\sf{-2x + 7x +34 = -2(1-7x) \ \ \longmapsto \ \ [Add \ -2x+7x]}}[/tex]

                        [tex]\boldsymbol{\sf{5x+34=-2(1-7x)}}[/tex]

Use the distributive property to multiply −2 by 1−7x.

                            [tex]\boldsymbol{\sf{5x+34=-2+14x}}[/tex]

Subtract 14x on both sides.

                              [tex]\boldsymbol{\sf{5x+34-14x=-2}}[/tex]

Combine 5x and −14x to get −9x.

                                [tex]\boldsymbol{\sf{-9x+34=-2 }}[/tex]

Subtract 34 from both sides.

                              [tex]\boldsymbol{\sf{-9x=-2-34 \ \ \longmapsto \ \ \ [Subtract] }}[/tex]

                               [tex]\boldsymbol{\sf{-9x=-36}}[/tex]

Divide both sides by −9.

                                      [tex]\boldsymbol{\sf{x=\dfrac{-36}{-9} \ \ \longmapsto \ \ [Split] }}[/tex]

                                       [tex]\red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \ x=4 }}}}}[/tex]

[tex] \quad\quad\quad \huge \underline{ \tt{ANSWER}}[/tex]

[tex]\quad\quad\quad\quad\quad\quad[/tex]

[tex]\tt{- 2x + 7x + 34 = - 2(1 - 7x)}[/tex]

[tex]\tt{5x + 34 = - 2(- 7x + 1)}[/tex]

[tex]\tt{5x + 34 = - (- 2 * 7x + 2)}[/tex]

[tex]\tt{5x + 34 = - (- 14x + 2)}[/tex]

[tex]\tt{(5x + 34) + (- 34 - 14x) = (14x - 2) + (- 34 - 14x)}[/tex]

[tex]\tt{5x + 34 - 34 - 14x = 14x - 2 - 34 - 14x}[/tex]

[tex]\tt{5x - 14x + 34 - 34 =14x-14x-2 - 34}[/tex]

[tex]\tt{- 9x = - 36}[/tex]

[tex]\tt{\frac{9x}{9} = \frac{36}{9}}[/tex]

[tex]\tt{x = 4}[/tex]

Can someone please help me with these problems and show work, if the answer isn’t with work I will remove your comment and you won’t get the points, please help

Answers

m∠B = 57.52°, m∠B = 70.8°, AB = 46.03 km and AC = 39.08 ft. This can be obtained using the Laws of cosine formula and Laws of sine formula.

Find the required angles and sides:Laws of cosine formula,

In a triangle ABC,

⇒ a² = b² + c² - 2bc cos A

⇒ b² = a² + c² - 2ac cos B

⇒ c² = a² + b² - 2ab cos C

where a, b and c are sides of a triangle and A, B and C are the angles of a triangle.

Laws of sine formula,

In a triangle ABC,

⇒ [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

where a, b and c are sides of a triangle and A, B and C are the angles of a triangle.

 

In the question we can use the laws of cosine formula and laws of sine formula,

5) Given that,

AB = c = 13 km

AC = b = 21 km

m∠A = 91°

By using Laws of cosine formula,

⇒ a² = b² + c² - 2bc cos A

a² = 21² + 13² - 2(21)(13) cos 91°

a² = 441 + 169 - 546 (-0.0174524064)    

a² = 610 + 9.52901391 = 619.529014

⇒ a = 24.89 km

By using Laws of sine formula,

⇒ [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

sin 91°/24.89 = sin B/21

sin B = 0.999847695×21/24.89 = 0.843583833

⇒ m∠B = 57.52°

 

6) Given that,

AB = c = 11 cm

BC = a = 13 cm

AC = b = 14 cm

By using Laws of cosine formula,

⇒ b² = a² + c² - 2ac cos B

14² = 13² + 11² - 2(13)(11) cos B

196 = 169 + 121 - 286 cos B

196 = 290 - 286 cos B

cos B = 94/286

cos B = 0.328671329

⇒ m∠B = 70.8°

 

7) Given that,

AC = b = 24 km

BC = a = 26 km

m∠C = 134°

By using Laws of cosine formula,

⇒ c² = a² + b² - 2ab cos C

c² = 26² + 24² - 2(26)(24) cos 134°

c² = 676 + 576 - 1248 (-0.69465837)

c² = 1252 + 866.933646 = 2118.93365

⇒ AB = c = 46.03 km

8) Given that,

AB = c = 26 ft

BC = a = 21 ft

m∠B = 112°

By using Laws of cosine formula,

⇒ b² = a² + c² - 2ac cos B

b² = 21² + 26² - 2(21)(26) cos 112°

b² = 441 + 676 - 1096 (-0.374606593)

b² = 1117 + 410.568826 = 1527.56883

⇒ AC = b = 39.08 ft

Hence m∠B = 57.52°, m∠B = 70.8°, AB = 46.03 km and AC = 39.08 ft.

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which function describes this table of value x -8, -4, 4, 8, y -2, 0, 4, 6

Answers

we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

Which function is the one described by the table?

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we can use just the first two points on the given line:

(-8, -2) and (-4, 0)

Then the slope will be:

[tex]a = \frac{0 - (-2)}{-4 -(-8)} = \frac{2}{4} = \frac{1}{2}[/tex]

Then the linear equation is something like:

y = (1/2)*x + b

To find the value of b, we can use one of the two given points, I will use (-4, 0), then:

0 = (1/2)*(-4) + b

0 = -2 + b

2 = b

Then we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

Then the correct option is the first one.

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20 POINTS

Here are the scores of 18 students on a history test. 55, 57, 58, 61, 62, 66, 68, 68, 71, 75, 75, 78, 82, 83, 85, 86, 88, 89. Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.

Answers

The median of this box and whisker plot is 73

A box and whisker plot is defined as a graphical method of displaying variation in a set of data. In most cases, a histogram analysis provides a sufficient display, but a box and whisker plot can provide additional detail while allowing multiple sets of data to be displayed in the same graph. Box and whisker plots are very effective and easy to read, as they can summarize data from multiple sources and display the results in a single graph. Box and whisker plots allow for comparison of data from different categories for easier, more effective decision-making.

From the given data, following can be inferred

Population size: 18Median: 73Minimum: 55Maximum: 89First quartile: 61.75Third quartile: 83.5Interquartile Range: 21.75

which is demonstrated in the box and whisker plot below

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Seven is not an example of _____.

an expression
a term
a variable
a constant

Answers

Answer:

a variable.

Seven is a number and cannot be a variable.

variable
7 is a number

A.22
B.183
C.246
D.213

Answers

Answer:

NMK= 22

Step-by-step explanation:

From N to K equals 177.

N to M equals x

K to M equals to 107

L equals 35

35    177

x        107

it equals to 21.158

Round up to the nearest ones or whole number

Find the midpoint of PM=
Help me please thanks :)

Answers

Answer:

Midpoints are (-1/2 , - 3)

Step-by-step explanation:

Given P (-4, - 2) and Q (3, - 4)

[tex]x1 = - 4 \\ x2 = 3 \\ y1 = - 2 \\ y2 = - 4[/tex]

[tex]midpoints = (\frac{x1 + x2}{2})( \frac{y1 + y2}{2}) \\ = ( \frac{ - 4 + 3}{2})( \frac{ - 2 + ( - 4)}{2}) \\ = ( \frac{ - 1}{2})( \frac{ - 2 - 4}{2}) \\ = ( \frac{ - 1}{2})( \frac{ - 6}{2}) \\ = ( \frac{ - 1}{2})( - 3)[/tex]

Pls answer I’ll mark brainliest if first person is correct

Answers

Based on these data, it is better to describe the centers of distribution in terms of: B. median for both coffee shops because the data distribution is not symmetric.

What is a median?

A median can be defined as the middle number (center) of a sorted data set, which is typically when the data set is arranged in from the least to greatest or the greatest to least.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

Next, we would calculate the mean and median for the two coffee shops as follows.

For coffee shop A, we have:

Mean = [F(x)]/n

Mean = [12+15+33+45+46+51+52+57]/8

Mean = [311]/8

Mean = 38.875.

Median = (45+46)/2

Median = 91/2

Median = 45.5.

For coffee shop B, we have:

Mean = [F(x)]/n

Mean = [17+16+36+35+12+9+34+15]/8

Mean = [174]/8

Mean = 21.75.

Median = (16+17)/2

Median = 33/2

Median = 16.5.

Since both the mean and median are not close, we can infer and logically deduce that the data distribution isn't symmetric for both coffee shops A and B.

Read more on median here: brainly.com/question/9550536

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