Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
logb 2/3

Answers

Answer 1

Answer:

-0.2084

Step-by-step explanation:

[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]


Related Questions

The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *

Answers

Answer:

89

Step-by-step explanation:

8, 13,

8+13= 21

13+21 =34

21+34=55

34+55=89

It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?

Answers

Answer:

7

Step-by-step explanation:

21/3=7

Answer:

7 dollars/$7

Step-by-step explanation:

21 divided by 3 = 7

$7 to send 1 package.

I need help in number 2 ASAP please

Answers

Answer:

Step-by-step explanation:

angle A + angle B + angle C = 180° [Sum of all angles of a triangle is 180°]

=> 2x+1 + x+15 + x = 180°

=> 4x + 16 = 180°

=> 4x = 180° - 16°

=> 4x = 164°

=> x = ([tex]\frac{164}{4}[/tex])°

=> x = 41°

[tex]\\[/tex]

angle A = 2x+1 = 2×41 +1 = 82 + 1

=> 83°

angle B = x+15 = 41+15

=> 56°

angle C = x

=> 41°

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

HOPE IT HELPS

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the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?

Answers

Answer:

21 monkeys

Work:

The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys

9+21=30

So answer this ok WHO HATES JIJI on ST MATH

Answers

Answer:

me

Step-by-step explanation:

Answer:

st math

Step-by-step explanation:

URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION

Answers

Answer:

a) x=0, x=1

b)x=0, x=4/3

Step-by-step explanation:

I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.

A)

3x²-3x+2=2

3x²-3x+0

x(3x-3)=0

For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.

Therefore..

x=0

or 3x-3=0, ∴x=1

b)

3x²-3x-1 = x-1

3x²-4x=0

x(3x-4)=0

∴x=0, x=4/3

Answer:

I checked it over twice the first guy is correct make him brainliest

Step-by-step explanation:

Fomular for finding perimeter area and circumference of a circle

Answers

Answer:

perimeter of a circle=2πR

The perimeter of a circle is the circumference of the circle.

CIRCUMFERENCE

There are two formulas:

1. C = πd (use if the problem gives you the diameter only)

2. C = 2πr (use if the problem gives you the radius only)

AREA

There are several area formulas for a circle but I think for you at your level of math, A = πr^2 is all you need to know.

Please help me it’s due today at 3:00pm will mark brainiest please help me please

Answers

Answer: 83

Step-by-step explanation:

(88+92+87+x)/4 = 90

(277+x)/4 = 90

x+ 277 = 360

x = 83

88+92+87+93 = 360 / 4 = 90

You'll probably need to get 93 on your fourth grade

8minus 2n +3p has how many terms

Answers

Answer:

It has two terms.

Step-by-step explanation:

Suppose the line of best fit is drawn for some data points. If the mean of the
x-coordinates of the points is 5, and the mean of the y-coordinates of the
points is - 7 the line must pass through which of these points?
A. (-7,5)
B. (7-5)
C. (5, -7)
D. (-5,7)

Answers

the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

How to find the coordinates?

To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).

Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).

The point (5, -7) is not listed as an option, but we can find the point that is closest to it.

Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.

Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).

To know more about coordinates visit :-

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Which graph represents points on the polar curve r = 2 + 5sin(θ)?

Answers

Answer:

Graph 2

Step-by-step explanation:

See image attached. Hope this helps.

The second graph shown the polar curve at r = 7.

Given ,

Equation of polar curve = r = 2 + 5sin(θ)

We have to find ,

Which of following graph show polar curve ,

At  r = 2 + 5sin(θ)

The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.

First graph ;  r = 2 + 5sin(θ)

Where ,

[tex]\theta = 0[/tex]

r = 2 + 5sin0

r = 2 + 5 (0)

r = 2

Second graph : r = 2 + 5sin(θ)

Where

[tex]\theta = \frac{\pi }{2}[/tex]

Then,

r = 2 + sin[tex]\frac{\pi }{2}[/tex]

r = 2 +5 ( 1 )

r = 2+5

r = 7

Third graph ;  r = 2 + 5sin(θ)

where

[tex]\theta = \pi[/tex]

Then,

r = 2 + 5sin[tex]\pi[/tex]

r = 2 + 5(0)

r = 2

Fourth graph ; r = 2 + 5sin(θ)

Where

r = 2 + 5sin[tex]\frac{3\pi }{2}[/tex]

r = 2 + 5 (-1)

r = -3

Fifth graph ; r = 2 + 5sin(θ)

Where

[tex]\theta = 2\pi[/tex]

r = 2 + 5sin(2π)

r = 2+ 5 (0)

r = 2

Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.

Hence, The second graph shown the polar curve at r = 7.

For more information about Polar curves click the link given below.

https://brainly.com/question/1094340

A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.

Answers

Ответ 163.54
Ниже расписано описание

solve 7(x-3)+x+22=17 for x.

Answers

Answer:

x=-13/4

Step-by-step explanation:

hope this helps :)

Answer:

x = 1

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x-3)+x+22-(17)=0  

Step by step solution :

STEP  1:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)  

Equation at the end of step  1:

STEP  2:

Equations which are never true:

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x+1 = 0  

Subtract  1  from both sides of the equation :  

                     x = 1

One Solution Was Made :

x = 1

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN!

Find the area of a compound shape

Can you please explain

Answers

Answer: right there

Step-by-step explanation:

Find area of semi circle, and then rectangle.(rectangle is 20x14). 20xdiameter.

Round 258,177 to the nearest hundred thousand.

Answers

Answer:

It's 300,000

Step-by-step explanation:

if you round (25)0,000 off you get 300000, so you don't have to worry about the other digits too much

What is the simplified value of the expression below?

12.4 x (negative 6.3)

Answers are below this
–78.12
–1.97
1.97
78.12

Answers

Answer:

-78.12

Step-by-step explanation:

a 12.4x-6.3= -78.12

mark as brainlyliest

Answer:

-78.12

Step-by-step explanation:

4 pts
Question 1
(04.01 MC)
The supervisor at an office randomly selected 45 employees and observed their work habits. She recorded the
number of items sold as well as the total time the employees spent at their desk. Classify the random variables
from the survey. (4 points)
Number of items sold, discrete; time spent at desk, discrete
Number of items sold, continuous; time spent at desk, continuous
Number of items sold, continuous; time spent at desk, discrete
Number of items sold, discrete; time spent at desk, continuous
O Unable to determine from information given

Answers

Answer:

Number of items sold, discrete; time spent at desk, continuous

Step-by-step explanation:

The random variables from the survey is number of items sold, discrete; time spent at desk, continuous

What is random selection ?

A selection that is chosen randomly (purely by chance, with no predictability). Every member of the population being studied should have an equal chance of being selected.

According to the question

The supervisor at an office randomly selected 45 employees and observed their work habits.

She recorded

i > number of items sold  

ii > total time the employees spent at their desk  

As per observation

Number of items sold = discrete

as it is not possible to sell items in a continuous manner

But

time spent at desk = continuous

as every employee spend time at there desk

Hence, the random variables from the survey is number of items sold, discrete; time spent at desk, continuous

To know more about random selection here:

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What is the hexadecimal equivalent of the decimal number 241?

Answers

Answer:

241 = f1

    10   16

Step-by-step explanation:

241 Decimal To Hexadecimal Conversion:

step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

241 / 16 = 15   : Remainder is 1 → LSB

15 / 16 = 0   : Remainder is 15 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent hex number

f1

241 = f1

    10   16

Decimal

241

Hex

F1

Binary

11110001

evaluate 8.3s + 7.5t when s=3 and t=4



plz help

Answers

8.3(3) = 24.9
7.5(4)= 30
24.9+30= 54.9
The answer is 54.9 I am sure it is

Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?



TELL ME HOW U DO IT !


I WANT A WHOLE NUMBER OR A DEMSEL..
PLEASE AND THANK U !

Answers

Answer:

$ 0.75 per game

Step-by-step explanation:

Answer:

MAKE BRAINLIEST:

$0.75

Step-by-step explanation:

The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?

Answers

Answer:

This is a bit confusing for me but here we go.

1x110

10x11 and

i don't really know the third

Step-by-step explanation:

Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

Answers

Answer:

x = 4

z = 92°

Step-by-step explanation:

From the picture attached,

Two straight lines are intersecting each other at a point so that,

(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]

25x + 80 = 180

25x = 100

x = 4

Therefore, measure of (13x + 40)° = 13×4 + 40

                                                        = 52 + 40

                                                        = 92°

Since, z° = (13x + 40)° [Vertically opposite angles]

Therefore, z° = 92°

If 4.6 plus 1.9 times a number equals the sum of the number and 94.6, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer:

The number is:

x=99.67

Step-by-step explanation:

Let 'x' be the number

4.6 plus 1.9 times a number 'x' = 4.6 + 1.9xSum of number 'x' and 94.6 = x+94.6

Given that 4.6 plus 1.9 times a number equals the sum of the number and 94.6.

so the equation becomes

[tex]4.9+1.9x=x+94.6[/tex]

[tex]1.9x-x=94.6-4.9[/tex]

[tex]0.9x=89.7[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0.9x\cdot \:10=89.7\cdot \:10[/tex]

[tex]9x=897[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]

[tex]\frac{9x}{9}=\frac{897}{9}[/tex]

[tex]x=\frac{299}{3}[/tex]

[tex]x=99.67[/tex]

Therefore, the number is:

x=99.67

evaluate 6a+4 when a=12

Answers

The answer is 76.........

Answer:

Answer is 76

Step-by-step explanation:

6a+4       a=12

insert the value of "a" into equation

=6(12)+4

=72+4

=76

if a ship travels west for 15 miles and south for 13 miles to the nearest tenth approximately how far away is it from its starting point

Answers

Answer:

23

Step-by-step explanation:

Please answer all of these

Answers

What’s the questions

point P lies on the origin of a coordinate system. if you translate the point 5 units up, then 4 units left, then 4 units down, the result is point P. what are the coordinates of point P

Answers

Answer:

The coordinates of point P after all the translations become: (-4, 1)

Step-by-step explanation:

The point P lies on the origin of a coordinate system.

i.e. P(0, 0)

Translating point 5 units up will translate the coordinates from (0, 0) to :

(x, y) → (x, y+5)

(0, 0) → (0, 0+5) = (0, 5)

THEN

Translating point 4 units left will translate the coordinates from (0, 5) to :

(x, y) → (x-4, y)

(0, 5) → (0-4, 5) = (-4, 5)

THEN FINALLY

Translating point 4 units down will translate the coordinates from (-4, 5) to :

(x, y) → (x, y-4)

(-4, 5) → (-4, 5-4) = (-4, 1)

Therefore, the coordinates of point P(0, 0) after translating point 5 units up, then 4 units left, then 4 units down will be:

(x, y)      →     (x, y+5)     →     (x-4, y+5)     →     (x-4, y+5-4)

(0, 0)     →      (0, 0+5)    →     (0-4, 0+5)   →     (0-4, 0+5-4)  = (-4, 1)

Hence, the coordinates of point P after all the translations become: (-4, 1)

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

A video game has 26 levels. You can score 5,337 points on each level. How many
hurry plzz

Answers

Answer:

Rounded: 205

Orignal:205.269230769...

Step-by-step explanation:

Divide 5337 by 26

Answer: at the end of the game u have 138762 points

Step-by-step explanation: new high score

Find the median of 64,65,67,75,80,85,90,90

Answers

Answer:

75

Step-by-step explanation:

Median means the middle number in a sequence.

The Awnser nser is 75
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