Logarithms
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LogarithmsPlease Do Not Answer With A Link, Not Only Can I Not Access It (nor Would I Be Comfortable

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]


Related Questions

find the square root of following by division method
5499025

Answers

the answer to your question is 2345

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

can yall help me please

Answers

I suppose, your answers are already given at the bottom of this page..

Whats the equation of a circle with the center point of 1, -1 and a radius of. 5

Answers

Step-by-step explanation:

For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.

josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?

Answers

Answer:

4items

Step-by-step explanation:

bought 8items

p=10%

10\20×8

How do I solve for x and y?

Answers

Answer:

x = 69y = 21

Step-by-step explanation:

To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.

__

The angles created by the diagonal at the lower left vertex are congruent:

  y° = 21°

__

The angles x° and y° are complementary:

  x° = 90° -21°

  x° = 69°

A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x

Answers

Answer:

8.5 cm

Step-by-step explanation:

volume = height × area of base

since this a square, area of base = x²

so 289 = 4 × x²

x² = 289 ÷ 4

x² = 72.25

so x = √72.25

x = 8.5cm

hope this helps

Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one? ​

Answers

Based on the wording of the question, I believe that the answer allows you to pick more than one. However, there still may only be one answer.

2. You are building a fence around your vegetable garden in your backyard. If
the garden is 12'8" long and 4'6" wide, what is the total length of fencing you
will need?

Answers

The length of fencing required is 34.34 feet.

Data;

Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feet

Perimeter of the Garden

To find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.

[tex]P = 2(L + W)[/tex]

We can substitute the values in the formula of perimeter above and proceed to solve.

[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]

The length of fencing required is 34.34 feet.

Learn more on perimeter of a rectangle here;

https://brainly.com/question/12274271

What is the area of the given quadrilateral?

Answers

Answer:

20 square units

Step-by-step explanation:

as its a square, we just add all the sides together. like a+b+c+d..

5+5+5+5=20 units

25

Length x width= area

So 5x5=25

Hope this helped :)))

help please and thank you!

Answers

(0,3) is the y intercept since is where the line cuts the y axis

Answer:

A (0,3)

Step-by-step explanation:

The Y-intercept is where X equals 0  

When X equals zero, Y equals 3.

1. D=5.9 ft.
calculate the circumference of the circle.



2. D=3.2 ft.
calculate the circumference of the circle.



3. D= 6.1 ft.
calculate the circumference of the circle.




4. R= 3.7 m.
Calculate the circumference of the circle.




5. R=6.2
Calculate the circumference of the circle.




6. R=5.1 Ft.
Calculate the circumference of the circle.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

As we know, we can calculate the circumference of a circle in terms of its diameter as :

[tex]\qquad \sf  \dashrightarrow \:c = \pi d[/tex]

where, c = circumference and d = diameter

And also, circumference of circle is terms of radius (r) is :

[tex]\qquad \sf  \dashrightarrow \:c = 2\pi r[/tex]

Now, let's move on to questions ~

First

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 5.9 [/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx18.53 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Second[tex]\qquad \sf  \dashrightarrow \:3.14 \times 3.2[/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx10.048 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Third

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 6.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx19.15 \: ft[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fourth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 3.7[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×11.62 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx23.24 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Fifth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 6.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2× 19.47 \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx38.94 \: m[/tex]

・ .━━━━━━━†━━━━━━━━━.・

Sixth

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 5.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×16.01 \: ft[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx \: 32.02m[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

You make commission working at Footlocker. On Saturday you sold

$1,500 worth of merchandise and made $120 in commission. On

Sunday you sold $1,300 worth of merchandise. If you made the same percent commission,how much did you earn on Sunday?


A. $8

B. $86. 66

C. $104

D. $1,039. 99

Answers

Answer:

C. $104

Step-by-step explanation:

First, we need to figure out what percent $120 is of $1500.

120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.

0.08 (8%) × 1300 = 104

Thus, you earned $104 on Sunday.

Helpp me with my sister's math​

Answers

Answer:

the 1/2w +22 one is a binomial

Step-by-step explanation:

a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed

what is the area of this figure?

Answers

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

Composition

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

Triangle area

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

Rectangle area

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

Total area

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

<95141404393>

what’s the missing side length?

A. 10
B. 7.1
C. 4
D. 35.4

Answers

Answer:

ans is 10

Step-by-step explanation:

by using pythagoras theorm

26^2=a^2+24^2

a^2=100

a=10

Based on her results, what is the probability that a student randomly picked in her class chose comedy as their favorite?

1. 1/14
2. 2/7
3. 1/2
4. 1/7

Answers

Answer:  2/7

Explanation:

8 people picked comedy out of 14+8+2+4 = 28 people total.

8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.

The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. If enrollment continues in the same trend, which of the following is a good prediction for eighth grade enrollment in 2010?
130
200
165
75

Answers

Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.

What does the graph state?

It states that:

The number of students enrolled in the 7th grade is falling by about 20 students per year.The number of students enrolled in the 8th grade is increasing by about 20 students per year.

In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.

More can be learned about graphs at https://brainly.com/question/24808124

Answer:

165

Step-by-step explanation:

Factoring
Need help pls

Answers

Answer:

2x(2²+3³)

I HOPE THIS HELP, THANKS ME LATER

Answer:

Factor by using the AC method-

1. (x+1) (x+4)

Factor by grouping-

2. (4x-3) (x+2)

Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.

Part A: Determine the probability that a student will like Top-Hits.

Part B: Determine the probability that a student will like country or R&B.

Part C: Determine the probability that a student will not like all three generes of music.

Answers

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

More can be learned about probabilities at https://brainly.com/question/14398287

At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.

Answers

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

What is cost price per pound?

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

[tex]C=\dfrac{4.50}{5}\\C=0.5625[/tex]

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

https://brainly.com/question/20333618

A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?

Answers

They sent 36 coupons to the existing members

use the terms 8 , 3x , 3/2 and 4x to complete the expression below so that’s is equivalent to 9x - 12

Answers

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

Find an equation for the plane that contains the line and is perpendicular to the plane

Answers

For the line and the plane to be perpendicular, they have to meet at right angles

The equation for the plane is x + 2y + 3z= 26

How to determine the equation?

From the complete question, we have:

Point = (5,0,7)

Plane perpendicular to ⟨1,2,3⟩

The general equation is:

a * x+b * y+c * z = d

So, we have:

d = 5 * 1 + 2 * 0 + 7 * 3

Evaluate

d = 26

Recall that:

d = 5 * 1 + 2 * 0 + 7 * 3

Replace the points with x, y and z.

So, we have:

d = x * 1 + 2 * y + 3 * z

Evaluate

d = x + 2y + 3z

So, we have:

d = x + 2y + 3z and d = 26

Equate both equations

x + 2y + 3z= 26

Hence the equation for the plane is x + 2y + 3z= 26

Read more about perpendicular planes at:

https://brainly.com/question/4954460

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Look at where the two lines intersect.

Which choice is equivalent to the fraction below?
5
6

a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6

Answers

Answer:

\ is the same as ÷

=d) 5 divided by 6

D. 5 divided by 6

A fraction line is also and other way to write a division sign
Hope this helps
Please mark as brainliest

can you help me figure this out?

Answers

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

HELP ASAP PLEASE
The graph of a linear function passes through the points (7,0) and (-8, 45). A second linear function is
shown on this graph.
What is the distance, in units, between the y-intercepts of the two functionS?

Answers

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]

[tex]\sf \rightarrow -3[/tex]

equation:

[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]

[tex]\hookrightarrow \sf y = -3x+21[/tex]

the y-intercept of this function:

[tex]\hookrightarrow \sf y = -3(0)+21[/tex]

[tex]\hookrightarrow \sf y =21[/tex]

distance between both y-intercept :

21 - 615

Determine the root of the equation by factoring 3x^2-x-4=0.

I have both of the roots solved, but when I verify it does not come out to a zero. Why is this?

Answers

Answer:

The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]

Step-by-step explanation:

You likely messed up when trying to one or both of the roots back into the equation.

The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please

Answers

The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.

What are box plots?

A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%

The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.

To learn more about box plots, please check: https://brainly.com/question/27215146

Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.

Answers

The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function

It will take 5 seconds for the coin to hit the ground

How to determine the time the nickel hits the ground?

The function is given as:

[tex]y = -5t^2 + 125[/tex]

When the nickel hits the ground, the value of the function is:

y = 0

So, we have:

[tex]-5t^2 + 125 = 0[/tex]

Subtract 125 from both sides

[tex]-5t^2 =- 125[/tex]

Divide both sides by -5

[tex]t^2 =25[/tex]

Take the square root of both sides

[tex]t = 5[/tex]

Hence, it will take 5 seconds for the coin to hit the ground

Read more about quadratic functions at:

https://brainly.com/question/1214333

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