Use the properties of logarithms to determine the value of logb 1. Explain your reasoning.

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We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

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In short we have

Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

The answer is choice F) 12 & 1/2 square yards.

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

Step-by-step explanation:

[tex]\small\mathfrak\red{here \: is \: your \: solution...} \\ \\ \small\mathcal\purple{volume \: of \: hemisphere \: = (2 \div 3)\pi \: r ^{3 \: } .} \\ \\ \small\mathfrak\purple{radius \: of \: hemisphere \: = 6 \: cm.} \\ \\ \small\mathfrak\purple{volume \: of \: hemisphere \: = (2 \div 3)(22 \div7 ) \times 6 {}^{3} .} \\ \\ \small\mathfrak\purple{volume \: = 452.16 \: cm {}^{3} .} \\ \\ \huge\mathfrak\pink{hope \: it \: helps.}[/tex]

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

Answer:

x = 4

Step-by-step explanation:

I took the test and it was right :)

Answer:

X + 5 =  X + 5

Step-by-step explanation:

The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.

Answer:

It is 6,4 or 4,6

Step-by-step explanation:

Answer: 0 is y intercept and 6 is x intercept.

Step-by-step explanation:

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

Answer:

gvaaliyar steshan steshan

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

Hope this helps :)

Answer:

Make a graph similar to this picture:

Answer:

make a graph one side being for the -3,-2,-1 and the other for the -2<x<-1?

Step-by-step explanation:

Answer:

A. 23/30

Step-by-step explanation:

2/3+1/10

Find the LCM (Least Common Multiple):

20/30+3/30 = 23/30

Answer:

A

Step-by-step explanation:

you put 2/3 = 20/30 because you add a 0 2 * 10 is 20 and so on. same for 1/10 multiply nand d by 3= 3/30 so 20/30+3/30= 23/30

Answer:

x²

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

Answer:

1,010

Step-by-step explanation:

Answer:

1010

Step-by-step explanation:

Answer:

27°

Step-by-step explanation:

The two lines are parallel, causing them to be equal

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: b

Step-by-step explanation:

Answer:

30-2t^2+16t/t

Step-by-step explanation:

It is to true!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

C)

Step-by-step explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]

reduce fraction:

[tex] \displaystyle m = \frac{3}{ 2} [/tex]

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]

reduce fraction:

[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c