answer fast I will reward 50 points [] are the exponents Use the given information to complete parts I and II. In your final answer, include all calculations. Planet Earth has an approximate diameter of 1.2742 · 10 [10] millimeters. The sun has a diameter of 1.391 · 10 [6] kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters? Part II: Approximate how many times greater the sun's diameter is than planet Earth's.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

given;

Planet Earth has an approximate diameter of 1.2742 x 10¹⁰ millimeters.

The sun has a diameter of 1.391 x 10⁶ kilometers.

find:

Part I:

Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters?

Part II:

Approximate how many times greater the sun's diameter is than planet Earth's.

-------------------------------------------------------------------------------------------------------

part I:

the best measurement to represent the lengths of the sun and Earth's diameters is kilometers.

= planet dia. = 1.2742 x 10¹⁰ mm x            1 km            =  12,742 km  

                                                          1,000,000 mm

= sun dia. = 1.391 x 10⁶ km = 1,391 x 10³ km = 1,391,000 km

part II:

the approximate scale dia ratio of earth to sun is = sun dia. over earth's dia.

=  1,391,000 km

    12,742 km

= 109.17 times

therefore,

109.17 times greater the sun's diameter is than planet Earth's.


Related Questions

6. Simplify the expression. 8.5(4+3h)-h

Answers

Answer:

34+24.5h

Step-by-step explanation:

luke can paint 91 portraits in 7 weeks. how many portraits does he paint each week?

Answers

Answer:

the answer is 13, because you need to divide 91 by 7.

Which table represents the same relation as the set StartSet (negative 6, 4), (negative 4, 0), (negative 3, 2), (negative 1, 2) EndSet?

Answers

Negative 4,0 because I know it

Answer:

Graph b

Step-by-step explanation:

ED2020

In a certain class, 11/20 of the students got problem 20 wrong on Friday's math test.

Answers

Answer:

U need to copy and paste more of the question

Step-by-step explanation:

Start copy at the top go all the way to the bottem of the question and paste into brainly.

use ctrl c for copy and crtl v for paste

Answer:

Then 9/20 got them right

Step-by-step explanation:

20/20-11/20=9/20

there isn't enough context so that's the best i can do

f(x) = -2(x+3)(x - 1)
What is the vertex

Answers

Answer:

see attechment: - vertex  (-1, 8)

Step-by-step explanation:

focus | (-1, 63/8) = (-1, 7.875)

vertex | (-1, 8)

semi-axis length | 1/8 = 0.125

focal parameter | 1/4 = 0.25

eccentricity | 1

directrix | f = 65/8

Find the modulus of z = 3 + 3i.

Answers

Answer: 3√2

Step-by-step explanation:

i had a quiz with this question and it said this was the correct answer

Cassidy is researching the impacts of eating breakfast on college students who have classes prior to 9 am. To do this, she issued a Likert scale questionnaire to the students, with a scale of 1 through 10 to answer a series of 20 questions. What is the type of measurement scale

Answers

Answer:

Interval scale

Step-by-step explanation:

In statistics, there are 4 types of measurement scales namely;

Nominal scales, interval scales, Ordinal scales and Ratio scales.

Now, in this question Cassidy is trying to research the impacts of eating breakfast on college students who have classes prior to 9 am.

This has to do with order as it deals with people who have breakfast before 9 a.m. It also deals with the exact differences in the various answers on the scale of 1 - 10 for each student student in the research for the 20 questions.

This is exactly what the interval measurement scale is all about interval scale deals with order and exact differences in values.

Thus, the scale used is an interval scale.

6 divided by 2 (1+2) = ?

Answers

Answer:

6/2 (1+2) = 9

Step-by-step explanation:

6/2 (1+2)

Order of operations PEMDAS

Parentheses first 6/2(3)

Multiplication and division go left to right

3(3)=9

Answer:6÷2(1+2)×3

Step-by-step explanation:

How to check if a number is a power of another number?

Answers

Answer:

If x^n  = y, then y is a power of x

Step-by-step explanation:

Take two numbers, x & y

To check whether, y is a a power of x

By hit & trial method, calculate x^n (approximately considered to near y). Try for many such no.s

If at any value x^n = y, then y is a power of x

Ex : Let x = 5, y = 625

By hit & trial, n = 3 or 4,

5^3 = 125 , 5^4 = 625

So, 625 is a power of x

4 over 25 as a decimal ​

Answers

Answer:

0.16

Step-by-step explanation:

Simply divide  4 by 25

4/25=0.16

Hope this helps : )

Use the slope formula to find the slope of the line through the points (1,4) and (−5,0).

Answers

Answer:

2/3

Step-by-step explanation:

Using the slope formula

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

    = ( 0-4)/(-5-1)

   = -4/-6

   = 2/3

Answer:

y = -2/3x

Step-by-step explanation:

y2-y1 over x2-x1

0-4 over -5-1

can I get an answer please ​

Answers

Answer:

2 is the answer to the question I think

eratosthenes estimated the circumference of the earth as 250,000 stadia (the length of an athletic stadium). if we assume he used the most common length of stadia of his time, his estimate of the circumference of the Earth would be 46,620 km. Currently, the accepted average circumference of the Earth is 40,030.3 km. Find the percentage error of Eratosthenes' estimate of the circumference of the Earth

Answers

Answer: 16.5%

Step-by-step explanation:

given data:

estimated circumfrence of the earth = 250,000 stadia.

Actual value = 46,620km

expected Value = 40,030.3km

solution:

percentage error = actual value – expected value/ expected value * 100

= 46,620 – 40,030.3 / 40,030.3 * 100

= 6589.7 / 40,030.3 * 100

= 0.16462 * 100

= 16.5%

percentage error is 16.5%

Answer the following question: Melissa was collecting
stickers in her sticker album. She decided to organize
them with an equal amount on each page. If her album
had 40 pages, and she had 32 stickers on each page,
how many stickers will Melissa have if her album is
completely full?

Answers

Answer:

1,280

Step-by-step explanation:

Katarina is buying types of bird seed by the pound. For 11.00, she can buy 2 pounds of thistle seed and 1.5 pounds of sunflower seed. For 23.50 she can buy 3 pounds of thistly seed and 4 pounds of sunflower seed. How much does a pound of sunflower cost

Answers

Answer:

Step-by-step explanation:

2t + 1.5s = 11

3t + 4s = 23.50

6t  + 4.5s = 33

-6t - 8s =   -47

-3.5s = -14

s = $4 a pound for sunflower seeds

what is the opposite 25 degrees

Answers

Answer:

The opposite of 25 degrese is -25 degrese.

Step-by-step explanation:

The opposite 25 degrees will be 205 degrees.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

For the opposite angle, add 180° to the given angle.

The opposite 25 degrees will be

⇒ 25° + 180°

⇒ 205°

The diagram is given below.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Help me I need help with this factorization of 630?

Answers

Answer:

The prime factors are: 2 x 3 x 3 x 5 x 7

or also written as { 2, 3, 3, 5, 7 }

Written in exponential form: 2 x 3 × 3 x 5 ×1  x 7×1

What is x( -3 -x) equal to?

Answers

Answer:

-3x-x^2

Step-by-step explanation:

an oil company fills 1/12 of a tank in 1/4 hour with gasoline at this rate which expression can be used to determine how long it will take for the tank to fill completely​

Answers

Answer:

1/4  * 12

Step-by-step explanation:

It takes 1/4 hour to fill 1/12

It has to do this 12 times to be full

so 1/4 hour times 12

Answer:

An oil company fills  of a tank in  hour with gasoline. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)

Question 10 options:

1)  

⋅  

2)  

⋅ 4

3)  

⋅ 12

4)  

12 ⋅ 4

Step-by-step explanation:

Write the opposite of 47

Answers

Answer:

-47

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

The opposite of a number is just the number on the opposite side of zero on the number line.

For example, the opposite of 5 is -5.

Please show all of the steps to solve the Algebra math problems below.Evaluate the following.|10| = |-4| =Subtract. Write your answer as a fraction in simplest form.5/8 � 3/8 =Subtract.7/8 � 5/6Write your answer as a fraction in simplest form.Multiply.6*(-7/2) =Write your answer in simplest form.Divide. Write your answer as a fraction or mixed number in simplest form.6/5 / (- 12/25) =Evaluate.3 + 4^2 * 2 =Evaluate.2/3 + 5/6 * � =Write your answer in simplest form.Evaluate-16 - 12 / (-4) =Use the distributive property to remove the parentheses.-9(3w � x � 2) =Simplify.-2(w + 2) + 5w =Simplify the following expression.16x^2 + 8 � 10x � 2x^2 � 14x =Evaluate the expression when b = -5 and y = 6b � 9y =Evaluate the expression when y = -3Y^2 + 5y � 4 =Evaluate.(-4)^3 =(-7)^2 =Evaluate. Write your answers as fractions.3/5^3 =(-1/3)^2 =Evaluate the expressions.(-7)^0 =2(1/3)^0 = Multiply.3v^2(-5v^4) =Simplify your answer as much as possible.Multiply.2y^2w^4*6y*2w^8 =Simplify your answer as much as possible.Simplify.(4p^3/3p^7)^-2 =Write your answer using only positive exponents.Simplify.X^-2/x^-3 =Write your answer with a positive exponent only.

Answers

Answer:

See Explanation

Step-by-step explanation:

Please note that I'll replace all � with +

1. |10|

This implies the absolute value of 10 and it always returns the positive value;

Hence;

[tex]|10| = 10[/tex]

2. |-4|

Using the same law applied in (1)

[tex]|-4| = 4[/tex]

3.  5/8 - 3/8 = ?

Take LCM

[tex]= \frac{5 - 3}{8}[/tex]

Subtract the numerator

[tex]= \frac{2}{8}[/tex]

Divide the numerator and denominator by 2

[tex]= \frac{1}{4}[/tex]

Hence:

[tex]\frac{5}{8} - \frac{3}{8} = \frac{1}{4}[/tex]

4. 7/8 - 5/6

Take LCM

[tex]= \frac{21 - 20}{24}[/tex]

[tex]= \frac{1}{24}[/tex]

Hence;

[tex]\frac{7}{8} - \frac{5}{6} = \frac{1}{24}[/tex]

5. 6 * (-7/2)

[tex]= 6 * \frac{-7}{2}[/tex]

Multiply the numerator

[tex]= \frac{-42}{2}[/tex]

[tex]= -21[/tex]

Hence:

[tex]6 * \frac{-7}{2} = -21[/tex]

5. 6/5 /(-12/25)

[tex]= \frac{6}{5} / \frac{-12}{25}[/tex]

Change the divide to multiplication

[tex]= \frac{6}{5} * \frac{-25}{12}[/tex]

Divide 6 and 12 by 6

[tex]= \frac{1}{5} * \frac{-25}{2}[/tex]

Divide 5 and 25 by 5

[tex]= \frac{1}{1} * \frac{-5}{2}[/tex]

[tex]= \frac{-5}{2}[/tex]

Hence;

[tex]\frac{6}{5} / \frac{-12}{25} = \frac{-5}{2}[/tex]

6.  3 + 4^2  * 2

[tex]= 3 + 4^2 * 2[/tex]

Solve the exponent

[tex]= 3 + 16 * 2[/tex]

Apply B.O.D.M.A.S

[tex]= 3 + 32[/tex]

[tex]= 35[/tex]

[tex]3 + 4^2 * 2 = 35[/tex]

7.  2/3 + 5/6

[tex]= \frac{2}{3} + \frac{5}{6}[/tex]

Apply LCM

[tex]= \frac{4 + 5}{6}[/tex]

[tex]= \frac{9}{6}[/tex]

Divide the numerator and denominator by 3

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

Convert to mixed fraction

[tex]= 1\frac{1}{2}[/tex]

Hence;

[tex]\frac{2}{3} + \frac{5}{6} = 1\frac{1}{2}[/tex]

8.  16 - 12/(-4)

[tex]= 16 - \frac{12}{-4}[/tex]

Solve the fraction

[tex]= 16 - (-3)[/tex]

Open the bracket

[tex]= 16 + 3[/tex]

[tex]= 19[/tex]

Hence;

[tex]16 - \frac{12}{-4} = 19[/tex]

9.   -9(3w + x + 2)

[tex]= -9(3w + x + 2)[/tex]

Open brackets: Distributive property

[tex]= -9*3w -9* x -9 * 2[/tex]

[tex]= -27w -9 x -18[/tex]

Hence;

[tex]-9(3w + x + 2) = -27w -9 x -18[/tex]

10.  -2(w + 2) + 5w

[tex]= -2(w + 2) + 5w[/tex]

Open bracket: using distributive property

[tex]= -2*w -2 * 2 + 5w[/tex]

[tex]= -2w -4 + 5w[/tex]

Collect Like Terms

[tex]= 5w-2w -4[/tex]

[tex]= 3w -4[/tex]

Hence;

[tex]-2(w + 2) + 5w = 3w- 4[/tex]

11.   16x^2 + 8 + 10x + 2x^2 + 14x

[tex]= 16x^2 + 8 + 10x + 2x^2 + 14x[/tex]

Collect Like Terms

[tex]= 16x^2 + 2x^2 + 10x + 14x+ 8[/tex]

[tex]= 18x^2 + 24x + 8[/tex]

Expand the expression

[tex]= 18x^2 + 12x + 12x + 8[/tex]

Factorize:

[tex]= 6x(3x + 2) + 4(3x +2)[/tex]

[tex]= (6x + 4)(3x +2)[/tex]

Hence;

[tex]16x^2 + 8 + 10x + 2x^2 + 14x = (6x + 4)(3x +2)[/tex]

12. b = -5 and y = 6

[tex]b + 9y =?[/tex]

Substitute -5 for b and 6 for y

[tex]= -5 + 9 * 6[/tex]

[tex]= -5 + 54[/tex]

[tex]= 49[/tex]

Hence;

[tex]b + 9y = 49[/tex]

13.    y = -3

[tex]y^2 + 5y + 4 =?[/tex]

Substitute -3 for y

[tex]= (-3)^2 + 5(-3) + 4[/tex]

Open all brackets

[tex]= 9 -15 + 4[/tex]

[tex]= -2[/tex]

Hence;

[tex]y^2 + 5y + 4 = -2[/tex]

14.  

[tex](-4)^3[/tex]

Open bracket:

[tex]= -4 * -4 * -4[/tex]

[tex]= -64[/tex]

Hence;

[tex](-4)^3 = -64[/tex]

[tex](-7)^2[/tex]

Open bracket:

[tex]= -7 * -7[/tex]

[tex]= 49[/tex]

Hence;

[tex](-7)^2 = 49[/tex]

15.  Express as fractions:

[tex]\frac{3}{5^3}[/tex]

Evaluate the denominator

[tex]= \frac{3}{125}[/tex]

Hence:

[tex]\frac{3}{5^3} = \frac{3}{125}[/tex]

[tex](\frac{-1}{3})^2[/tex]

Evaluate the exponent

[tex]= (\frac{-1}{3})*(\frac{-1}{3})[/tex]

[tex]=\frac{1}{9}[/tex]

Hence:

[tex](\frac{-1}{3})^2=\frac{1}{9}[/tex]

16. Evaluate

[tex](-7)^0 =[/tex]

Evaluate the exponent

[tex](-7)^0 = 1[/tex]

[tex]2 * (1/3)^0[/tex]

Evaluate the exponent

[tex]= 2 * 1[/tex]

[tex]= 2[/tex]

Hence;

[tex]2 * (1/3)^0 = 2[/tex]

17. Evaluate

[tex]3v^2(-5v^4)[/tex]

Open bracket

[tex]= 3 * v^2*-5* v^4[/tex]

Reorder

[tex]= 3 *-5* v^4 * v^2[/tex]

[tex]= -15* v^4 * v^2[/tex]

Apply law of indices

[tex]= -15* v^{4 +2}[/tex]

[tex]= -15* v^6[/tex]

[tex]= -15v^6[/tex]

Hence:

[tex]3v^2(-5v^4) = -15v^6[/tex]

18.

[tex]2y^2w^4*6y*2w^8[/tex]

Rewrite as

[tex]2 *y^2 * w^4*6 * y*2 * w^8[/tex]

Reorder the terms

[tex]=2*6 * w^4 * w^8*y^2 * y*2[/tex]

[tex]=12 * w^4 * w^8*y^2 * y*2[/tex]

Apply law of indices

[tex]=12 * w^{4+8} *y^{2+2}[/tex]

[tex]=12 * w^{12} *y^4[/tex]

[tex]=12 w^{12} y^4[/tex]

Hence:

[tex]2y^2w^4*6y*2w^8 =12 w^{12} y^4[/tex]

19.

[tex](\frac{4p^3}{3p^7})^{-2}[/tex]

Apply law of indices

[tex]= (\frac{4p^{3-7}}{3})^{-2}[/tex]

[tex]= (\frac{4p^{-4}}{3})^{-2}[/tex]

Apply law of indices

[tex]= (\frac{4}{3p^4})^{-2}[/tex]

Apply law of indices

[tex]= (\frac{3p^4}{4})^{2}[/tex]

[tex]= (\frac{3p^4}{4}) * (\frac{3p^4}{4})[/tex]

Evaluate

[tex]= \frac{9p^8}{16}[/tex]

Hence;

[tex](\frac{4p^3}{3p^7})^{-2} = \frac{9p^8}{16}[/tex]

20.

[tex]\frac{x^{-2}}{x^{-3}}[/tex]

Apply law of indices

[tex]= x^{-2 - (-3)}[/tex]

[tex]= x^{-2 +3}[/tex]

[tex]= x^1[/tex]

[tex]= x[/tex]

Hence:

[tex]\frac{x^{-2}}{x^{-3}} =x[/tex]

Answer: So 5 + x = 8 beacase x is 3

Step-by-step explanation:

i need help guysss please

Answers

Answer:

∠MON = 99

Step-by-step explanation:

∠LON = 180°

∠MON + ∠LOM = 180 -------equation

where:

∠MON = 8x - 13

∠LOM = 7x - 17

plugin values into the equation

8x - 13 + 7x - 17 = 180

8x + 7x - 13 - 17 = 180

15x - 30 = 180

15x = 180 + 30

x = 210 / 15

x = 14

plugin values to ∠MON = 8x - 13

∠MON = 8x - 13

∠MON = 8(14) - 13

∠MON = 99

Answer:

Angle MON = 99

Step-by-step explanation:

...........

..................

is 2/3 a rational number?

Answers

Answer:

Yes

Step-by-step explanation:

A number that can be written as a ratio of two integers, of which denominator is non-zero, is called a rational number.

Therefore 2/3 is a rational number.

PLEASE SOMEONE HELP, ZERO CLUE HOW TO DO THIS, pleaseeeee

Answers

Answer:

4) 15) 4

Step-by-step explanation:

You just need to find the corresponding coordinates on the graph by using one of the coordinates and the graph.

4) Find f(0.8)

Find the point 0.8 on the x-axis and check the point the vertical line from that point crosses the graph. See what that point is on the y-axis.

This is point 1

The answer is 1, the point has coordinates (0.8, 1)

5) Find x when f(x) = 3

Find the point of the graph against 3 on the y- axis

And check what is corresponding point on x-axis, this is point 4

So the answer is 4, the point has coordinates of (4,3)

Answer:?

Step-by-step explanation:

Are BD and CE congruent

Answers

Answer:

no

Step-by-step explanation:

b to d is 4 jumps away and c and e is 10 jumps

edit i meant 8 and d i messed up the calculations but the answer is correct

BD is 8 units long

CE is 10 units long

BD and CE are NOT congruent.

4•6÷2 to the power of 3=

Answers

The answer is 1728

First you must set up the equation

[tex](\frac{4*6}{2})^3[/tex]

Then, you must multiply the numerator

[tex](\frac{24}{2} )^3[/tex]

Next, divide

[tex](12)^3[/tex]

Finally, simplify exponents

[tex](12^3) =12*12*12[/tex]

12*12*12=1728

Answer:

3

Step-by-step explanation:

4 ×6 :2 ^3 =

24 :8 =

3

One leg of a right triangle is 1 cm less than the hypotenuse, and the other leg is 8 cm less than the hypotenuse. What is the length of the hypotenuse?

Answers

Answer:

the hypothesis is 5or 13

Step-by-step explanation:

let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse

-32>-5+9x soLve for x

Answers

Answer:

-3>x

Step-by-step explanation:

Rearrange the equation

1. Move - 5 onto the other side with - 32.

2. - 32 + 5 > 9x now because 5 was moved to the other side so the sign has changed.

3. - 27>9x, move 9 to the other side

4. - 27/9>X DIVIDE 27 by 9

5. - 3>X

Answer:

-4 ≥ x or 3>x

Step-by-step explanation:

y = c1 cos(3x) + c2 sin(3x) is a two-parameter family of solutions of the second-order DE y'' + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  [tex]y  =  5sin3x[/tex]

Step-by-step explanation:

From the question we are told that  

   [tex]y =  c_1\ cos3x + c_2 \  sin 3x[/tex]

given that y(0) =  0

We have that  

     [tex]c_1\ cos3(0) + c_2 \  sin 3(0)  =  0[/tex]

=>   [tex]c_1 =  0[/tex]

This means that

           [tex]y  =  c_2 \  sin 3x[/tex]

We also given that

          [tex]y[\frac{\pi}{6} ] =  5[/tex]

So  

         [tex]c_2  sin (3 *  \frac{\pi}{6} )  =  5[/tex]

=>    [tex]c_2  =  5[/tex]

Hence  

     [tex]y  =  5sin3x[/tex]

[4 marks
c) log2X, log2 (X + 9), and log2 (x + 45) are three consecutive terms of an arithmetic
progression
i)
ii)
Find X
Find the 5th term as a single logarithm.
lanice​

Answers

Answer:

1. x = 3

2. The 5th term = Log₂768.

Step-by-step explanation:

From the question given above, the following data were obtained:

Log₂x, Log₂(x + 9, Log₂(x + 45)

x =?

5th term (T₅) =.?

1. Determination of the value of x.

We shall determine the value of x as follow:

First term = Log₂x

2nd term = Log₂(x + 9)

3rd term = Log₂(x + 45)

Common difference = 2nd term – first term = 3rd term – 2nd term

Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)

Recall

Log M – Log N = Log (M/N)

Therefore,

Log₂(x + 9) – Log₂x = Log₂(x + 9)/x

Log₂(x + 45) – Log₂(x + 9) = Log₂(x + 45) /(x + 9)

Thus:

Log₂(x + 9) – Log₂x = Log₂(x + 45) – Log₂(x + 9)

Log₂(x + 9)/x = Log₂(x + 45)/(x + 9)

Cancel Log₂ from both side

(x + 9)/x = (x + 45)/(x + 9)

Cross multiply

(x + 9)(x + 9) = x(x + 45)

x² + 9x + 9x + 81 = x² + 45x

x² + 18x + 81 = x² + 45x

Rearrange

x² – x² + 81 = 45x – 18x

81 = 27x

Divide both side by 27

x = 81/27

x = 3

Therefore, the value of x is 3.

2. Determination of the 5th term.

We'll begin by calculating the common difference (d)

x = 3

First term = Log₂x

First term = Log₂3

2nd term = Log₂(x + 9)

2nd term = Log₂(3 + 9)

2nd term = Log₂12

Common difference (d) = 2nd term – first term

Common difference (d) = Log₂12 – Log₂3

= Log₂(12/3)

Common difference (d) = Log₂4

Finally, we shall determine the 5th term as follow:

First term (a) = Log₂3

Common difference (d) = Log₂4

5th term (T₅) =.?

T₅ = a + 4d

T₅ = Log₂3 + 4Log₂4

Recall:

nLogM = LogMⁿ

Therefore,

4Log₂4 = Log₂4⁴ = Log₂256

T₅ = Log₂3 + 4Log₂4

T₅ = Log₂3 + Log₂256

Recall:

Log M + Log N = Log (M×N)

Thus,

T₅ = Log₂3 + Log₂256

T₅ = Log₂(3 × 256)

T₅ = Log₂768

Therefore, the 5th term is Log₂768

Other Questions
If f(x)=ln x and g(x)=e^x+1 find f(g(2))-g(f(e)) please help!! 1. What is the impact of the nuance of the word "handled" in the following excerpt: "I was immediately handled and tossed up to see if I were sound by some of the crew"? It shows Equiano was a depressed child who viewed himself as worthless. It shows the Africans were viewed as objects instead of human beings. It shows the slavers were physically careful with Africans because they equalled profit. It shows the crew members of slave ships were violent and oppressive. I chose Racism. I need help on coming up with two arguments that support racism. HELP What are the two things you should notice at the beginning of every lesson?A. Topic questionsB. Key terms and lesson objectivesC. Checkups and practicesD. Tests and quizzes Why was Harry so full of questions after having tea with Hagrid? When is the acquisition program baseline prepared? Why are thresholds of increasing complexity important in Big History? Choose 1 answer: (Choice A) A They explain how the Universe and stars formed after the Big Bang. (Choice B) B They show how humans evolved from a primate ancestor to increasingly complex humans. (Choice C) C They explain times when something entirely new appeared in the Universe that greatly impacted events that followed. (Choice D) D They show us what happened every billion years since the Big Bang. Simplify (x^5/x^2)^2 . Explain your steps. Position-Time Graph30Position (m)10-8)Time (s)The graph above represents the motion of a car. Based on the graph, the car is mostlikely-A) driving up a steep hillB) speeding upC) driving at constant speedD) decelerating find the slope between the following points (3, -4) (-2, 6) What is the volume of a rectangular prism 11 inches long, 6 inches wide and 3 inches high Constance earns $10.00 per hour. Her benefits package is equal to 18 percent of her hourly wages. Constance works a 35-hour work week.How much does Constance earn in a week without benefits? Solve the following inequality for x.-26 + 13r + 2 > 2 13r This protects the surrounding environment, human beings, and thereactor itself from radiation, What are common traits of American business owners, according to the U.S census bureau? 5 reasons Jefferson identified for the colonies to seperate England x and yare supplementary angles. ymeasures 156What is the measure of a? What are sunspots?A. storms on Earths surfaceB. storms on the Suns surfaceC. hot gases on the SunD. holes in the Sun 1. What is distributive property?2. When must you use the distributive property?3. Name the steps in solving multi-step equations with parenthesis. Show an example.Please help me with those three 1/2h+1/3(h-6)=5/6h+2