6.
Use the Change of Base Formula to evaluate log base 4 20

Answers

Answer 1

Answer:

The answer with calculator would be 2.16096


Related Questions

Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

radius=8

Answers

The formula is 4/3 pi r^3. So 4/3 pi 4^3.

The answer is 267.94 m^3

The volume of a sphere with radius 8 units is 2143.57 units³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as A

Now , the value of A is

Let the radius of the sphere be r

The value of r = 8

Now , the formula to calculate the volume of the sphere is

Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8

Volume of a Sphere = ( 4/3 ) x 3.14 x 512

Volume of a Sphere = ( 4/3 ) x 1607.68

Volume of a Sphere = 2143.57 units³

Therefore , the value of A is 2143.57 units³

Hence , the volume of the sphere is 2143.57 units³

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The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?

Answers

Answer:

the point 6,5 is the maximum Value of c out of the other points

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?



​Enter your answer in the answer box below.

Answers

Answer:

One

Step-by-step explanation:

For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.

Shorter sides:  6 cm and 2.5 cm

Longer side:  6.5 cm

6 + 2.5 = 8.5

As 8.5 > 6.5 this is a unique triangle

As the side lengths are fixed, only one unique triangle can be formed.

Which is closest to the weight of 1 raisin box?

250 grams
84 grams
125 grams
42 grams

Answers

Step-by-step explanation:

answer 42 grams.

since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams

Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.

Answers

Answer:

12 players

Step-by-step explanation:

the team started off with $1386.50

subtract $1137.50 for the rented bus

[tex]1386.50 - 1137.50 = 249[/tex]

the team has $249 left for the meals and a meal costs $20.75 for each player.

249 ÷ 20.75 = 12

the team can bring 12 players to the tournament.

What is mZLKB?
A
65°
K
#
#
B
L

Answers

Answer:

65

Step-by-step explanation:

I got it right on my test!

What is the minimum number of triangles needed to construct a hexagon? a hexagon. 3 4 5 6

Answers

Answer:

6

Step-by-step explanation:

draw a model and fit in some traingles

Answer:

it’s B :)

Step-by-step explanation:

give a that is if u think my dog is cute

Which of 2/5 or 5/8
is closer in value to 1/2?

Answers

5/8 is closer to 1/2 because

Answer:

Step-by-step explanation:

10.6 m 9.1 m 6.8 m find volume

Answers

Answer:

218.36 m^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (9.1*6.8) * 10.6

volume = 1/3 * (61.8) * 10.6

colume = 20.6 * 10.6

volume = 218.36

Answer:

109.3 m³

Step-by-step explanation:

Volume of a pyramid

1/3Bh

Base Area

1/2 x 9.1 x 6.83.4 x 9.130.94 m²

Solving

V = 1/3 x 30.94 x 10.6V = 327.964/3V = 109.321333V = 109.3 m³ (approximately)

I need help with this question

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The probability of picking a 3 is 1/4.

The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.

So 1/4 x 1/3 = 1/12

EVALUATE: -2x-24 WHEN X = 2 AND y = 4.​

Answers

Answer:

-28

Step-by-step explanation:

-2x-24

-2(2)-24

-4-24

-28

Lily is going to invest $750 and leave it in an account for 18 years. Assuming the

interest is compounded daily, what interest rate, to the nearest tenth of a percent,

would be required in order for Lily to end up with $1,180?



Please help!! I need helppppp ASAP

Answers

Answer:

The interest rate would be 2.5%

yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?

Answers

1550 sq. in

hope it helps..!!!

Graph this parabola
Please show all steps thank you!!!

Answers

Vertex form of parabola

y=a(x-h)²+k

From the equation given

Vertex=(h,k)=(3,4)a=-2

As a is negative parabola facing downwards

Graph attached

If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).

Answers

Answer:

[tex]f(4)=8[/tex]

Step-by-step explanation:

Given:

[tex]f(1)=1[/tex][tex]f(n)=2f(n-1)[/tex]

[tex]\implies f(2)=2f(1)=2(1)=2[/tex]

[tex]\implies f(3)=2f(2)=2(2)=4[/tex]

[tex]\implies f(4)=2f(3)=2(4)=8[/tex]

30 POINTS NEED HELP ASAP IN CLASS HURRY!!

Answers

Answer:

5. -6/4

6. 1/2

7. 12/15

8. -21/8

Step-by-step explanation:

Steps are in picture

Answer:

Step-by-step explanation:

Fraction division:

Use KCF method

K - Keep the first fraction

C - Change division to multiplcation

F - Flip the second fraction

[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]

                  [tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]

[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]

                [tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]

[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]

                        [tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]

                    [tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]

HELP PLEASE

A parking lot charges $7 per day to park on weekdays and $12 per day on weekends.
Jamal parked his car in this lot on 6 days last week and spent a total of $52. How many
weekdays and weekend days did Jamal park?

Answers

Answer:

4 weekdays and 2 weekends.

Step-by-step explanation:

6 days.

x = weekdays

y = weekends

7x = amount with weekdays

12y = amount with weekends

7x + 12y = 52, total

x + y = 6, amount of days

solve double variable equation

x = 6 - y, plug in to 1st equation

7(6 - y) + 12y = 52

42 - 7y + 12y = 52

5y = 10

y = 2 weekends

2 + x = 6

x = 4 weekdays

A. -25
B. 15
C. 25
D. 40
E. 65

Answers

Answer:

E.65

Step-by-step explanation:

2x+20+3x-5=180 ??need answer

Answers

Answer:

33

Step-by-step explanation:

2x+3x+20-5=180

5x+15=180

5x=180-15

5x=165

165/5=33

What are the values of a1 and r of the geometric series?

2 – 2 + 2 – 2 + 2
a1 = 2 and r = –2
a1 = –2 and r = 2
a1 = –1 and r = 2
a1 = 2 and r = –1

Answers

Answer:

a1=2 and r=-1

Step-by-step explanation:

"A geometric series is a series with a constant ratio between successive terms".

Here, we can observe that the first term 'a' is '2'.

And the common ratio 'r' =

Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.

First term, a, is 2.  Next term, -2, is the product of 2 and -1 and is -2.  Next term, 2, is the product of -2 and -1.  Thus, the first term, a, is 2 and the common ratio, r, is -1

Answer:

a1 = 2 and r = –1

Step-by-step explanation:

The answer above is correct.

A trapezoidal sum is an underestimate when the function is.

Answers

Answer: Concave down

Explanation:

An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.

Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.

Henri's balance in his savings account was $12,000. The savings
account earns annual simple interest. At the end of four years, the
balance of the account was $13,536. If Henri did not make any
additional deposits or withdrawals during this time, what was the
annual interest rate on this savings account?
18

Answers

Answer:

3.2%

Step-by-step explanation:

I = prt

I = $13,536 - $12,000 = $1,536

1,536 = 12,000 × r × 4

r = 1,536/(12,000 × 4)

r = 0.032 = 3.2%

PLEASEEEE HELPPP I’m BEGGINGGG
When solving the following equation by completing the square, what would be your
first step?
x^2 - 6x – 40 = 0

Answers

Answer: Add 40 to both sides to collect like terms on each side of the equation

Step-by-step explanation: That's the first step

Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.

Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26

Part B
Which statement is true about the difference of the sample means?

1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.

Part C

What can you conclude about the color of the L-Bow Roni box?

Answers

The difference of the sample means is statistically significant because it falls outside the 5% significance level.

How to explain the statistics

The formula for a 95% confidence interval for the difference between two population means is:

(sample mean difference) ± (critical value) x (standard error of the mean difference)

Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.

So, the 95% confidence interval is:

1.74 ± 1.96 x (0.69/√n)

Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:

1.74 ± (some number)

Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.

Blank 1: -1.26

Blank 2: 3.44

In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).

The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.

The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.

So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.

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ANSWER THIS PLEASE !!!!!!

Answers

Answer:

C

Step-by-step explanation:

Becuase 68 is closer to c than b

Please help
What is 94*106 as a difference of two squares
What is 94*106 as a product of a sum and a difference (factored form)

Answers

Answer:

Hi, I am going to help you!

➡ 94 * 106

Formula: ( a+b) (a-b)

a=100

b=6

100+6=106

100+6=106100-6= 94

2. 100² - 6²

= (100 - 6) ( 100 + 6)

= 94 * 106

( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)

A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed boxes would you expect the inspector to find in a batch of 44 boxes

Answers

Answer:

8

Step-by-step explanation:

We can form a simple ratio to solve this problem.

Flaws:Total Box

Plug in current values

4:22

44/22 = 2

Multiply the ratio by 2

8:44

8 boxes would be flawed.

Answer:

8

Step-by-step explanation:

There are 2 ways to do this I have seen.

1. 4/22 will get you .18, you can then multiply that by 44 and get 8

2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8

Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.​

Answers

1) he can divide 54 by 9 to see if he gets 6
2) he can divide 54 by 6 to see if he gets 9

Can I have help on this? I will award brainliest for the correct answer.

Answers

Answer:

7x(x+4)

Step-by-step explanation:

i got answer from mathay

Kimaya guesses that 11 is the mean of this data set. 8, 7, 11, 7, 6,`12 Without calculating, determine if Kimaya's guess could be correct.

Answers

Answer:

you add up the number and then take that answer and multiply that. with the nuber alone

Step-by-step explanation:

add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=

Other Questions
On friday there were x students at a baseball game. On monday there were half as many students than on friday on Wednesday, there were 32 fewer students at the game as there were on friday which expression could represent the total number of tickets sold for all 3 games Complete the steps, which describe how to find the area of the shaded portion of the circle. a circle is shown. 2 raddi are drawn. a chord connects the points of the radii on the circle to each other. the space between the chord and the outline of the circle is shaded. 1. find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2. subtract the area of the triangle from the area of the sector. length of the radius length of the diameter measure of the central angle circumference of the circle Sydney took a trip to a relatives house for Thanksgiving. She drove 65 miles per hour for 1. 5 miles and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled duribg this time? 1. List the three major nutrient classes (a.k.a. macronutrients). 1. _________________________ 2. _________________________ 3. _________________________ (06.01)Four graphs are shown below:Which graph represents a negative linear association between x and y? Graph A Graph B Graph C Graph D Match each sentence part to the question it answers. The total debts to total assets ratio of Ranford Co. was .29. The total of Ranford's assets was $200,000. What's the amount of total debt to the company?A. $68,000B. $75,000C. $58,000D. $65,000 In 2020 a U.S. private entity reported $8 million of goodwill in last year's balance sheet. The entity has elected the accounting alternative for subsequent measurement of goodwill. How should the entity calculate its reported goodwill for the current year? Diego wants to expand his business to build a warehouse and office building for $2 million. He'll use the 5 acre property he owns and currently rents to a local cattle rancher for $5,000. What are the implicit costs of of this expansion what is x/ solve for x 3x + 22 How has information technology impacted the economy? choose three answers. it has allowed economists to better predict how resources should be allocated. it has assisted governments to make better economic policy decisions. it has become more difficult for businesses to identify when shortages will occur. it has steadily increased the amount of time to share data between locations. it has expanded growth and outlook in information technology careers. When treating a patient who hasexperienced trauma, what would indicatethat you should use the jaw thrust method foropening the airway?A. The patient states that they have a headacheand slipped on the iceB. The patient has broken teeth from the falland may choke on themC. The patient has fallen in such a way that theymay have an unstable cervical spine injuryD. The patient appears to have broken their hipI got C right What was President Van Buren's response to the Panic of 1837? please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Imagine youre an explorer traveling the trade routes of the Sahara. How do you travel, who do you meet, what do you see? Write a journal entry. A mental list of characteristics used to define each item is the __________ model. a. character b. exemplar c. image d. prototype Jacob riis is best known for his work in the 1890s as a. PLEASE HELP (WILL MARK BRAINLIEST!)Which sentence from Passage 1 most clearly reveals the central idea that the antislaverymovement laid the foundation for the women's suffrage movement?A "The delegates agreed with Anthony's assertion 'that all men and women are createdequal,' and women should have the right to vote." (paragraph 3)B "Anthony compared the situation of enslaved African Americans to that of women."(paragraph 4)"Anthony called on her listeners to 'make the slave's case our own...." (paragraph 4)"The women who overcame this prejudice and had the courage to campaign in favor ofabolition grew more and more proficient at making speeches and arguing in debates."(paragraph 5)oluc Dyani has been working on constructing a research question to guide her study on the problem of loneliness among senior citizens in her community. She has drafted four versions.Which version is the most effective research question based on Dyani's goal? The cost of renting a moving truck is given by C = 40 + 0.99m , where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent? Anthony is calculating how high a ball is thrown. He has determined the function h(t) = -16t + 20t + 4 torepresent the height of the ball in feet over t seconds. He wants his final answer to be in inches. He knows that thefunction N(f) = 12f will convert f feet into inches. Compose the functions so that he has one equation to determinethe number of inches high the ball will be over t seconds.