Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log8(12)

Answer:

3 and 27

Step-by-step explanation:

Step 1:  Determine which two terms we can use

We have the following numbers to choose from:  3, 14, 27

Adding two numbers to get a multiple of ten means that the number that we come up with needs to be divisible by ten.  For example:  20, 30, 50, 100 are all multiples of ten.

In this example the only one that would add up to create a multiple of ten is 27 and 3 which would give us 30 which is a multiple of 10.

Answer: 3 and 27

Answer:

Below.

Step-by-step explanation:

7(x + 2) = 91

Distribute the 7 over the parentheses:

7x + 14 = 91

Subtract 14 from both sides of the equation:

7x = 91 - 14

7x = 77

x = 77/7 = 11.

Answer:

X=11

Step-by-step explanation:

[tex]7\left(x+2\right)=91[/tex]

Divide both sides by 7:

[tex]\frac{7\left(x+2\right)}{7}=\frac{91}{7}[/tex]

Simplify:

[tex]x+2=13[/tex]

Subtract 2 from both sides:

[tex]x+2-2=13-2[/tex]

Simplify:

X=11

The price of the advance ticket is  $40 and the price of the same day tickets is $30.

a + b = $70 equation 1

20a + 35b = 1850 equation 2

Where:

a = cost of one advance ticket

b = cost of one same day ticket

Multiply equation 1 by 20

20a + 20b = 1400 equation 3

Subtract equation 3 from equation 2

15b = 450

Divide both sides by 15

b = $30

Subtract $30 from $70.

$70 - $30 = $40

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Answer:

5/2    See below

Step-by-step explanation:

L x W x H = 125/8

for a CUBE   L   W and H are the same

L^3 = 125/8

L = 5/2

Answer:

558.9 miles total

Step-by-step explanation:

See attached spreadsheet.

Answer:

-2x+4>18.

Step-by-step explanation:

Solve and graph a one variable inequality. Solve the inequality and graph the solution on a number line.

An estimate of the number of visitors that vist the museum during a month given the average number of visitors per day is 15,128.

Multiplication is an arthmetic operation that can be used to determine the product of a number. The sign used to denote multiplication is x.

In order to determine this value, multiply the average daily visitors by the number of days in a month

488 x 30 = 15,128

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Answer: 30%

Step-by-step explanation:

because my friend said so? <3

hope this helps!

Answer:

the answer is 11

Step-by-step explanation:

(1) Basket (2) Hands (3) Cart. 3 ways i can think of

Answer:

B)

Step-by-step explanation:

The main feature in a right triangle is that it has a right angle (90°)

Hope this helps

Answer:

red apples

Step-by-step explanation:

1 lb of green apples is 1.5

1 lb of red apples is 2

Answer:

[tex]\large\boxed{\tt x^{\circ}= 90^{\circ}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to find the value of x.}[/tex]

[tex]\textsf{The value of x is an angle for this triangle.}[/tex]

[tex]\textsf{Note that we are given 2 other angles, we can use what is given to us to solve for x.}[/tex]

[tex]\large\underline{\textsf{What is a Triangle?}}[/tex]

[tex]\textsf{A Triangle is a shape with 3 sides, and 3 angles. Sometimes these can be congruent,}[/tex]

[tex]\textsf{other times, and most of the time they're not. These are called Equilateral}[/tex]

[tex]\textsf{Triangles. Every Triangle consists of 3 angles that add up to 180}^{\circ}. \ \textsf{If the angles}[/tex]

[tex]\textsf{don't add up to 180}^{\circ}, \ \textsf{then the shape is not a triangle.}[/tex]

[tex]\textsf{Now that we know a Triangle has 3 angles that add up to 180}^{\circ}, \ \textsf{we can create an}[/tex]

[tex]\textsf{equation where x is the \underline{subject}.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{All 3 angles add up to 180}^{\circ}, \ \textsf{let's create an equation.}[/tex]

[tex]\tt 180^{\circ} = 37^{\circ} + 53^{\circ} + x^{\circ}[/tex]

[tex]\textsf{To make x the subject, move x to the other side of the equation by subtracting x.}[/tex]

[tex]\tt 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} + x^{\circ} - x^{\circ}[/tex]

[tex]\textsf{We should also move 180}^{\circ} \ \textsf{to the other side of the equation as well.}[/tex]

[tex]\tt 180^{\circ} - 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} -180^{\circ}[/tex]

[tex]\underline{\textsf{We should have;}}[/tex]

[tex]\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}[/tex]

[tex]\textsf{We should remove the negative for x by dividing the whole equation by -1.}[/tex]

[tex]\frac{\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}}{-1} \rightarrow \tt x^{\circ}= 180^{\circ} - 37^{\circ} - 53^{\circ}[/tex]

[tex]\underline{\textsf{Simplify the right side of the equation;}}[/tex]

[tex]\large\boxed{\tt x^{\circ}= 90^{\circ}}[/tex]

Answer:

f^−1(x)=x7

Step-by-step explanation:

To find the inverse , inerchange the variable and slove for Y

Answer:

v≈4.7

w≈1.6

Step-by-step explanation:

sin71º＝v/5

v=5*sin71º≈4.7

cos71º＝w/5

w=5*cos71º≈1.6

Answer:

[tex]a_4=19[/tex]

Step-by-step explanation:

Given:

[tex]\implies a_2=a_{1}+4=7+4=11[/tex]

[tex]\implies a_3=a_{2}+4=11+4=15[/tex]

[tex]\implies a_4=a_{3}+4=15+4=19[/tex]

Put values get answer

Answer:

=> -x² + 3x

Step-by-step explanation:

-x (x – 3)

=> -x² + 3x

Answer:The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Step-by-step explanation:Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Answer:

Only C

Step-by-step explanation:

1 4/11 is 1+4/11 and 4/11 is less than 1/2 so it has to be less than 1.5, which is less than 1.75

1.6 is less than 1.75 because 1.75-1.6 is 0.15 which is a positive number

4/7 is 1 3/4 which is 1.75

Answer:

a and c

Step-by-step explanation:

they are over 1

Answer:

$900

Step-by-step explanation:

60/4 = 15

60 x 15 = 900

Answer:

900

Step-by-step explanation:

900 it's not that hard 60/4 15x60

Answer: I think It's 38

Step-by-step explanation:

you can multiply or add all of them together

Answer: Andrew ate 22 grapes on Monday.

Step-by-step explanation:

From Monday to Friday it is 4 days. since he ate 2 more grapes every day. You multiply 2 by 4. To get 8 and subtract 30 by 8 to get 28.

Answer:

64

Step-by-step explanation:

Answer:

180° = pi radians

Step-by-step explanation:

360° = 2pi radians

90° = pi/2 radians

see image

180° is pi radians.

pi radians is equivalent to 180 degrees, option B is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The radian equivalent of 180° is pi radians.

This is because a full circle is 360°, which is equivalent to 2 pi radians. Therefore, half of a circle or an angle of 180° is equivalent to half of 2 pi radians, which is pi radians.

Hence,  pi radians is equivalent to 180 degrees, option B is correct.

To learn more on trigonometry click:

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#SPJ5

Answer:

31

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So we have,

[6(20) + 3(15)] ÷ 5

We first look at Parentheses.

The first case is 6(20)

6(20) = 120

We have [120 + 3(15)]÷ 5

We solve 3(15) as its the next parentheses

3(15) = 45

We have [120 + 45] ÷ 5

Then we solve for [120 + 45] as it's in brackets.

[165] ÷ 5 = 31

The answer is 31.

Answer:

18. Huan sold 18 pizza's. 23 - 5 = 18.

You can also start at 23, and count down to 5.

Step-by-step explanation:

Answer:

[B]

Step-by-step explanation:

Given:

People leaving the library were asked how many books they checked out that day The result are: 1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

To Find:

Which histogram correctly shows the data set?

Solution:
Since it given from the histogram:

0-5, 6-11, 12 - 17,18-23

From the result :

1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20

Thus,

1,2,3,5 = 0-5

8,9,10,11 = 6-11

12,13,14,15,16 = 12-17

18,20 = 18-23

From this we can see that:

for

0 - 5 = 4

6 - 11 = 4

12 - 17 = 5

18 - 23 = 2

Hence, the answer is [B]

Kavinsky

Answer:

[tex]\displaystyle (f\circ g)(-1) = 5[/tex]

Step-by-step explanation:

We are given the two functions:
[tex]\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2[/tex]

And we want to find:
[tex]\displaystyle (f\circ g)(-1)[/tex]

Recall that this is equivalent to:
[tex]\displaystyle (f\circ g)(-1) = f(g(-1))[/tex]

Hence, find g(-1):
[tex]\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}[/tex]

Substitute:
[tex]\displaystyle f(g(-1)) = f(1)[/tex]

Find f(1):

[tex]\displaystyle \begin{aligned} f(x) & = 2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}[/tex]

In conclusion:
[tex]\displaystyle (f\circ g)(-1) = 5[/tex]

Answer:

[tex]f(5)=1249[/tex]

Step-by-step explanation:

Given:

[tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]

[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]

[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]

[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]