expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x

Answers

Answer 1

Step-by-step explanation:

log (√1000000x)

Rewrite √1000000x as (1000000x)1/2.

expand long ((1000000x)1/2) by moving 1/2

oby moving logarithm.

1/2 longth (1000000x)

Rewrite

log

(1000000x) as log(1000000)+log(x).

1/2(log(1000000)+log(x))

Logarithm base 10 of 1000000 is 6.

1/2(6+log(x))

Apply the distributive property.

1/2.6+1/2 log(x)

Cancel the common factor of 2.

3+1/2 long(x)

Combine 1/2 and log(x)

3+ long(x)/2

Answer 2

Step-by-step explanation:

See the steps below:

[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]


Related Questions

The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?

Answers

Answer:

The store sold 21 T-shirts and 18 pairs of shorts.

Step-by-step explanation:

x = the number of T-shirts sold

y = the number of pairs of shorts sold

x + y = 53

12x + 9y = 570

x = 21 T-shirts

y = 18 shorts

Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?

Answers

Answer:

229

Step-by-step explanation:  do 1000-771 and u get the answer

Answer:

229

Step-by-step explanation:

To find how many are left, do the total minus the amount found:

1000 - 771 = 229

will mark brainlist if right no links
Four expressions are shown below

I. 2(2x2−2x−60)
II. 4(x2−x−30)
III. 2(x+6)(x−5)
IV. 4x(x−1)−120
The expression 4x2−4x−120is equivalent to


I and II, only
I and II, only

II and IV, only
II and IV, only

I, II, and IV
I, II, and IV

II, III, and IV

Answers

Answer:

1, 2, and 4

Step-by-step explanation:

distribution

Pls solve this, it’s math


And only if you know the answer pls

Answers

Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)

[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].

From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!

Answers

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

Factorize: (x+4)2 - (x- -3)2​

Answers

Answer:

2

Step-by-step explanation:

it’s 2!! i hope you helped

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

What is the slope for this table?

Answers

Answer:   Slope = -3

=======================================================

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

x = 0 and y = 4x = 1 and y = 1

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Help me out I need it be great

Answers

Answer:

A.

How many tiles will you put in each row? 9

How many rows will you make? 3

B.

9x3=27

C.

9 models the amount of tiles in each row

3 models the amount of rows

27 models the total number of chairs/tiles

Step-by-step explanation:

what is 3x3-7=8x9 ??

Answers

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

help me brain pt Part 4

Answers

Answer:

Its an acute bc an acute angle is less than 90 degree

Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term

Answers

Solution:Ali walks 2 5/6 km and Ahmed walks 1 1/2 km.Therefore, the distance they walked altogether

= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km

Answer:

They walked 4 1/3 Km altogether.

Hope it helps.

Do comment if you have any query.

Hey luvvs, can you help me out with this p.s if u do freind meeee

Answers

Answer:

[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]

Step-by-step explanation:

The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex]  is simply [tex]\frac{b}{a}[/tex].  The sign would not change for this reason.

Hope it helps :) and let me know if you want me to elaborate.

PLEASE HELP! ;-;


A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?


Answer= [ ? ] hertz

Answers

The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)

Where:

[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.

The frequency ([tex]f[/tex]), in hertz is defined by this formula:

[tex]f = \frac{\omega}{2\pi}[/tex] (2)

By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):

[tex]f \approx 0.032\,hz[/tex]

The particle has a frequency of 0.032 hertz.

We kindly invite to check this question on simple harmonic motion: https://brainly.com/question/17315536

Pls help this is due today and i have no idea

Answers

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

75 is 15% of what number​

Answers

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

what is a 8096 rounded to 1 significant figure

Answers

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

answer is 8000
8 is the first non-zero digit leaving it the one used

Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4

Answers

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

.−3(4x + 3) + 4(6x + 1) = 43
What is the answer?

Answers

Answer:

43

Step-by-step explanation:

DO the math


What is the measure of angle t

Answers

Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degrees

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

To solve more questions on angles and triangles, visit the link below -

brainly.com/question/18584968

#SPJ2

At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?

Answers

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

To know more about Expression:

https://brainly.com/question/14083225

#SPJ3

what is (997X5) + (6X-979) divided by 2 =?????

Answers

Answer: 2048 I just used a calculator

Step-by-step explanation:

Answer:

2048.

Step-by-step explanation:

(997X5) + (6X-979) /  2

= 4985 + -5874/ 2

The multiply is done before the add   ( Order of operations):

= 4985 + -2937

= 2048

6/9 x 3/8 in simplest form

Answers

refer the attachment for your answer !!

Round 21.897 to the nearest hundredth.

Answers

Answer:

21.900 - 21.9

Step-by-step explanation:

if your rounding it its 21.900 or 21.9

Can someone teach me quadratics?

Answers

Answer:

yeah sure

Step-by-step explanation:

all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).

use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.

then you will find the y or k then make a table of values and put the vertex of the x and y that you found.

then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.

then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.

hope this helps

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

1. Parallel

2. Neither

3. Perpendicular

4. Perpendicular

5. Neither

6. Same Line

7. Perpendicular

8. Parallel

9. Same Line

10. Perpendicular

11. Parallel

12. Perpendicular

13. Parallel

14. Same Line

15. Perpendicular

16. Parallel

17. Neither

18. Parallel

19. Parallel

20. Parallel


Make m the subject of the formula L = m + n

Answers

The ANSWER is m = n - L

What is a slope in math.

Answers

Answer:

A slope in math is basically rise/run on a coordinate plane. If you have the trend line given and a few values given on the 'x' coordinate and the 'y' coordinate, you can find the slope using rise/run.

Hoped this helped.

23. Multiple Choice Luis wants to make a deck that is similar to one that is 10 feet
long and 8 feet wide. Luis's deck must be 18 feet long. What must its width be?
A 20 feet
B 16 feet
C 14.4 feet
0 22.5 feet

Answers

B. 16 feet

I believe that’s the correct answer since you are adding an additional 8 ft to the length you should also at an additional 8 ft to the width. So 8+8 = 16 ft
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