What is the GCF of 22 and 32?

Answer:

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

[tex]log_{\sqrt 2} X = k[/tex]

Required

Find [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{\sqrt 2} X = k[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

So:

[tex]log_{\sqrt 2} X = k[/tex]

[tex]X = \sqrt{2}^k[/tex]

Substitute: [tex]X = \sqrt{2}^k[/tex] in [tex]log_{2\sqrt 2} X[/tex]

[tex]log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)[/tex]

[tex]log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}[/tex]

Apply the following law:

[tex]log_ab = \frac{log\ b}{log\ a}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}[/tex]

Express the square roots as power

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}[/tex]

using the following law of logarithm

[tex]log_ab = n, b=a^n[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}[/tex]

[tex]log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}[/tex]

Rewrite as:

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}[/tex]

[tex]log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}[/tex]

[tex]log_{2\sqrt 2} X = \frac{1}{3}k[/tex]

Answer:

Not sure but I think the answer is 129

Step-by-step explanation:

first, substitute the value of x in the expression like this

18(3*2+1)+3

after substituting, our work has made easier

18(6+1)+3

18(7)+3 or simply 18*7+3

126+3

129

Answer:

13 ft

Step-by-step explanation:

To find the perimeter of a rectangle you have to add the four sides of the rectangle, you have two sides and know the perimeter, this will help you find the length of her room. 12 ft is the width, add 12+12 and you have 24. The perimeter is 50 so subtract 24 from 50 and you have 26 that is the length times two, so divide 26 by 2. Now you have 13, so the length of her room is 13 feet.

Hope you understand now! :)

cylinder

Step-by-step explanation:

the basses is top and bottom so if there circular on top and bottom and curved surface for the body its a cylinder

Answer:

Hello your question is incomplete attached below is the complete question

answer : first 7 terms ( option 3 )

Step-by-step explanation:

Determine the number of terms of the series that is needed to find a sum with an absolute value of its error to be less than 0.001

The number is : 7

attached below is the detailed solution

Answer:

hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him

Answer:

1

Step-by-step explanation:

By the remainder theorem,

(x-2)=0

x=2

p(0)=16-24+8+2-1

=1

I hope this helps  you

Step-by-step explanation:

Answer:The answer is 1

Step-by-step explanation:

Answer:

9  

Step-by-step explanation:

5-(-4) =

5 + 4 = 9

Hope that helps!9

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

Answer:

1.1

Step-by-step explanation:

480/425=1.129

There was a 1.129 rent increase but you round to the nearest tenth so 1.1

Answer:

maybe this can help........... wait is it a time quiz

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

14+14+23+23=74

Opposite sides of a rectangle are congruent or have the same length.

Now, the perimeter of a rectangle is just the

distance around the outside of the figure.

So we add up the dimension, which are the length and width.

So we have 14 + 14 + 23 + 23 which is 74 yd.

Answer:

1<x<3

x <  -4

Hopefully that helps :)

Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50

answer 250

Answer: 30$

Step-by-step explanation:

Answer:

x = 2, x = -3/2

Step-by-step explanation:

Factors to be (x-2)(2x+3) = 0

x =2, x = -3/2

Answer:

Step-by-step explanation:

2x²-x-6=0

2x²-(4-3)x-6=0

2x²-4x+3x-6=0

2x(x-2)+3(x-2)=0

(x-2)(2x+3)=0

Answer:

136.69 ft

im not completely sure but thats my best guess

We need to find the perimeter of the garden.

Perimeter of rectangle:

P= 19*2+29*2

P= 38+58

P= 96 ft

Perimeter of semicircle:

The diameter is 19ft

P= π*d

P= 3.14*9.5

P= 29.83 ft

Perimeter of the garden:

96+29.83

= 125.83 ft

So the fence has to be 125.83 ft

Answer:

I think B

Step-by-step explanation:

It woks for me more than the others.

Answer:

The answer is the (Expenses is between 2,000-2,500) and the (Income is  over 3,000)

Step-by-step explanation:

I just took the test i got it right

The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).

This is also known as a bar graph. It is seen as a chart or graph that depicts a kind of categorical data via the use of rectangular bars that has heights or lengths which are known to be proportional to the values that they stand for.

Note that the bars are often plotted vertically or horizontally and as such, The bar chart that accurately represents Harry's situation is the one that shows his (Expenses that is between 2,000-2,500) and his (Income that is over 3,000).

Learn more about  bar chart from

https://brainly.com/question/24741444

#SPJ1

Answer:

x=2

Step-by-step explanation:

if you move the constant to the right, than calculate than divide both sides you should get x=2

Answer:

C. Miles per hour

Step-by-step explanation:

Answer:

c. miles per hour

Step-by-step explanation:

because he was driving in miles an hour

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

Answer:

108

Step-by-step explanation:

9=height

12=wideness

9times12=108

Answer:

Step-by-step explanation:

[tex]sin60=\frac{\sqrt{3}{2}}\\ \\ \frac{9}{x}\\ \\ x=\frac{18}{\sqrt{3}}\\ \\ x=\frac{18\sqrt{3}}{3}\\ \\ x=6\sqrt{3}[/tex]

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200

Answer:

Step-by-step explanation:

4X15=60 9X5=45

Answer:

Multiples:

9: 9, 18, 27, 36, 45, 54, 63...

15: 15, 30, 45, 60, 75...

LCM: 45

Equivalent Fractions: 25/45 and 12/45