True or false? Show steps

True Or False? Show Steps

Answers

Answer 1

Answer:

TRUE

Step-by-step explanation:

Consider

[tex] log_{ \sqrt{x} }( {x}^{k} ) [/tex]

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

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

we know that

[tex] log( {a}^{b} ) = b log(a) [/tex]

===

[tex]2k (log_{ \sqrt{x} }( \sqrt{x} ) )[/tex]

Also we know that

[tex] log_{a}(a) = 1[/tex]

===

[tex]2k( log_{ \sqrt{x} }( \sqrt{x} ) = 2k \times 1 = 2k[/tex]

Hence

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

Therefore it TRUE


Related Questions

The area of a square is 100. The length of its diagonal is approximately:

Answers

Answer:

10[tex]\sqrt{2\\} \\[/tex] or 14.14 appromiximately

Step-by-step explanation:

Area of square = 100

So length on side = 10 because all sides of square equal.

Length of Diagonal = Side x [tex]\sqrt{2}[/tex]

So the length of diagonal is 14.14 approximately

11. Which two lines are parallel?
1. 5y = 2x - 5
2. 5y = -4+ 3x
3. 5y - 3x = -1

Answers

Parallel lines must have the same slope as they do not cross. The slope is determined by the value before x. 1 and 2 are parallel necause both have 3x slope. (Third line is -3x but if you move it to other side as it should be, it will be 3x)

Simplify a^2-3a2 a^3-8a^2+12a to lowest terms

Answers

Answer:

[tex]\frac{a-3}{(a-2)(a-6)}[/tex]

Step-by-step explanation:

[tex]a^{2}-3a[/tex] has the common multiple of a. If you factor it out, you get [tex]a(a-3)[/tex].

[tex]a^3-8a^2+12a[/tex] also has a common multiple of a. Once factored, you get [tex]a(a^2-8a+12)[/tex]. This equation can be further factored to get [tex](a-2)(a-6)[/tex].

Put these two expressions over one another and you get  [tex]\frac{a-3}{(a-2)(a-6)}[/tex].

please help i have an assignment due TODAY i need to get this done

rules:
NO LINKS! im not getting myself a virus

Answers

Answer:

t = 40

Step-by-step explanation:

The sum of the two angles is 70

70 = t+30

70-30 =t+30-30

40 =t

Answer:

40

Step-by-step explanation:

t = 70 - 30

t = 40

hope it helps

9 - 3 / 1/3 + 1 =
In word form-
nine minus three divided by one third plus one
Please help

Answers

Answer: 1

Step-by-step explanation:

9 - 3 ÷ 1/3 + 1 = 9 - 3 × 3/1 + 1

= 9 - 9 + 1 = 10 - 9 = 1.

' . , ' ' . , "-" & "+" . ' , ' .

. ^-^

Can someone help me please

Answers

Answer:

76 chess sets

Step-by-step explanation:
Since they bought 16 cases and each contains 18 sets, let's multiply them

16 x 18 = 288
There were already 16 sets before that so lets add those as well

288 + 16 = 304
Now since there are 4 teachers we divide this among them

304/4 = 76

76 is the answer.

I don’t get this question

Answers

Answer:

The equation of the line is y = 4.

Step-by-step explanation:

It looks like they are asking for the equation of the bold line.

does anyone know what the answer for this is??

Answers

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!

-4y + 14 = 22

-6x + 5 = -1

Answers

Answer:

x = 1, y = -2

Step-by-step explanation:

help
10 points
brainleist

Answers

Answer:79 degrees i believe

Step-by-step explanation:

Answer:

79 degrees.

Step-by-step explanation:

There is many ways you can take this problem.  The easiest is alternate exterior.  Since the 79 degree angle and angle B is outside and on opposite sides, they are the same value.

Hi can someone help me please

Answers

Answer:

Never seen this before sorry can't help

Step-by-step explination:

133.875 as a fraction

Answers

Answer:

0.875 is just 7/8, so 133.875 is 133 7/8 or (133*8+7)/8 = 1071/8

PLEASE HELP ASAP 100 POINTS⦁ Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities.
⦁ What was the least amount of snowfall in any of the cities?
⦁ In which quarter is the data most concentrated? Explain how you know.
⦁ In which quarter is the data most spread out? Explain how you know.

Answers

Answer:

Least amount - 5 inches

Most concentrated - 3rd quarter (smallest area, more overlap)

Most spread-out - 2nd quarter (largest area)

Step-by-step explanation:

Answer:

Cant you just look this up??? No offense or anything.

Step-by-step explanation:

What is the area of a width=5cm? rectangle with length =8 meter and width =5​

Answers

Answer:

if breadth is in cm then area is 4000cm^2

Step-by-step explanation:

if breadth is in meter area is 40m^2

formula

area =lb

Considering Carlos's dividends and capital gains, which statement is true?
Select the correct answer.
A.Carlos's net profit from his investment is $65, and the pre-tax ROI is 26%.
B.Carlos's net profit from his investment is $65, and the pre-tax ROI is 15%.
C.Carlos's net profit from his investment is $55, and the pre-tax ROI is 26%.
D.Carlos's net profit from his investment is $55, and the pre-tax ROI is 15%.

Answers

Answer:

c

Step-by-step explanation:

The table shows the prices of two types of juice. How much does
each type of juice cost per gallon? There are 4 quarts in a gallon.
Juice Price Volume
Orange $3.25 0.5 gallon
Peach $4.50 1.5 quarts

Answers

Answer:

Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Step-by-step explanation:

Step 1:  Determine the price of the Orange juice

$3.25 per 0.5 gallon

($3.25 * 2) per (0.5 * 2) gallon

($6.50) per (1) gallon

Step 2:  Determine the price of the Peach juice

$4.50 per 1.5 quarts

$4.50 per 0.375 gallon

($4.50 * 2.667) per (0.375 * 2.667) gallon

($12.00) per (1) gallon

Answer: Orange juice is $6.50 per gallon and Peach juice is $12.00 per gallon

Which survey question could have been asked to produce this data display?

Answers

Answer:

b

how far did you walk

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is b

Reflect the given triangle over
the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [

Answers

Answer:

3 3

6 3

Step-by-step explanation:

for reflecting over line y=x, you just change the places of y and x.

(6,3) becomes (3,6).

Explain in a complete sentence on how you would find the area of a triangle when given the base and height

Answers

You first multiply base x height. Next, since it’s a triangle, you divide by 2 because a triangle is half of a square.


Your equation to solve is:

b(h)
——
2

draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)

Answers

Answer: y=2.5x-8, the two points necessary to graph would be (2,-3) and (0,-8)

Step-by-step explanation: If the line passes thru (2,-3), let us plug in and find c. -3-2.5(2)=c

-3-5=c

c=-8 so y=2.5x-8

The line will represent the graph of the equation y=2.5x-8.

The two points necessary to graph would be (2,-3) and (0,-8).

What is the slope-intercept form?

The slope-intercept form is y=mx+c

If the line passes through (2,-3),

let us plugin and find c.

So we get,

[tex]-3-2.5(2)=c[/tex]

[tex]-3-5=c[/tex]

[tex]c=-8[/tex]

So, The equation of the line is y=2.5x-8.

To learn more about the equation visit:

https://brainly.com/question/2972832

Need Help Immediately! Brainly will be given to the best response

Answers

Answer:

Option B

Step-by-step explanation:

Recreate the graph with a vertical intercept that is twice the value of the intercept shown in Figure 2 , because the angular velocity is increased from wy to 2wd . The slope of the line should be the same in both graphs , because the angular acceleration is the same in both graphs .

Can someone help me please?

Answers

Answer:

3/10

Step-by-step explanation:

3 of the vertical bars are highlighted out of the 10 total bars. 3/10 is equivalent to 0.3.

Pleas answer this asap!!!

Answers

Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

The answer is B
Because -3+5=2

The number of boys in a school is 120. If the ratio of boys to girls is 2:3, find the total number of students in the school.

Answers

Answer:
180
Step-by-step explanation:
Take 2/3 cross multiply 120/x
Giving you 360/2x.
Solve for X by dividing 360 by 2

You have to give more than 5 gifts to friends this Christmas. You decide to give everyone scented candles. The candles in plain jars cost $3.79 each, and the ones in decorated jars cost $8.99 each. If you have at most $50 to spend, what is a possible solution to the problem? Let the number of candles in plain jars = x and the number of candles in decorated jars = y.


A. 8 candles in plain jars and 2 candles in decorated jars

B. 2 candles in plain jars and 2 candles in decorated jars

C. 6 candles in plain jars and 4 candles in decorated jars

D. 14 candles in plain jars and 2 candles in decorated jars

Answers

Answer:

B! the answer is b!

Step-by-step explanation:

hope it heellpps! :>

Select all the correct answers.

Which pay rates are common ways employers pay employees?

commission
daily pay
hourly pay
quarterly pay
salary

Answers

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

Help me please math

Answers

Started with $70

Coffee at $8.74/lb

Ended with $35.04

First, subtract $35.04 from $70. Result: 34.96Second, divide $35.04 by $8.74 to see how many pounds she bought. Result: 4 pounds

Susan bought 4 pounds of coffee.

:)

50 POINTS JUST PLS HELP ME
London borrowed $12,900 from a lender that charged simple interest at a rate of 2.56% for 7 years.

What is the amount of interest London paid at the end of the loan

Answers

Answer:

2311.68 dollars

Step-by-step explanation:

12 900  *  7  * .0256 =

London paid interest of $2311.68 at the end of the loan.

What is simple interest?

Simple interest is interest that is only calculated on the initial sum (the "principal") borrowed or deposited.

The basic simple interest formula looks like this:

Simple Interest = Principal Amount × Interest Rate × Time

Given,

Principal amount = $12900

Rate of interest = 2.56%

Time = 7 years

Simple interest = Principal amount × Rate of interest × Time

                         = ($12900 × 2.56 × 7)/100

                         = ($33024 × 7)/100

                         = $231168/100

Simple interest = $2311.68

Hence, $2311.68 is amount of interest London paid at the end of the loan.

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ2

Cristina uses a ruler to measure the length of her math textbook. She says that the book is 4/10 meter long. Is her measurement in simplest form? If not, what is the length of the book in the simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

in 4/10, both the numerator (4) and denominator (5) are multiples of 2, as 4 = 2 * 2 and 10 = 2 * 5. thus, we can divide both the numerator and denominator by 2 to get

(4/2) / (10/2) = 2/5 as our answer.

Find the indicated measures, given that EA is a diameter.
a) mˆEFG=

b) mˆACD=

c) mˆDEF

Answers

Answer: Sombody said it was b but i am not sure

Step-by-step explanation:

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