You send an email with a file size of 4 kilobytes. One kilobyte is 2^{10} bytes. What is the file size of your email in bytes? Write your answer as a power.

Answers

Answer 1

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

[tex]a^x + a^y = a^{x+y}[/tex]

4 KB = 2²⁺¹⁰ B = 2¹² B


Related Questions

PLEASE I BEG OF YOU HELP ME

Answers

It is 90 I believe please tell me if I was wrong

In which data set does the range have the greatest spread?

A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23

Answers

Answer:

D (8, 11, 13, 13,17,20,23)

Step-by-step explanation:

I did this and got it correct.

Simplify.
2
5x² - 7x + 3
-
10
+ 8x² + 9x

I need help

Answers

Answer:

621 i guess

Step-by-step explanation:

18x² + 2x² - 7

Tap on a clip to paste it in the text box.

Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.

Answers

Answer:

the surface of the teachers table measures 1.5 m by 1m what is its surface area

Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?

Answers

The  unit rate can be interpreted as the slope will give  [tex]\dfrac{1}{8}[/tex] of a delivery per hour

What is graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given: The total time for which Noel drives = 152 hours

The total number of successful deliveries = 19

Now, Noel's unit rate for successful delivery is given by:-

[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]

Hence, Noel's unit rate for the successful delivery 1/8  of a delivery per hour

To know more about graph follow

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WILL GIVE BRAINLIEST, STARS, POINTS, AND THANK YOU FOR THE RIGHT ANSWER!!!

PLEASE. PLEASE HELP MEEE.

Computing Residuals


1/3


The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months.


The equation of the line of best fit is y= -1.1x + 91.30



Use the equation of the line of best fit to fill in the blanks below.


Give exact answers, not rounded approximations.

Answers

Answer:

1st blank: $51.00.    3rd blank: 1.1   5th blank: 24.2

2nd blank: $67.00.  4th blank: 91.30.  6th blank: -57.4

Step-by-step explanation:

A couple Invested $6100 in an account some of it went into a savings account paying 3% annual simple interest . The rest was invested in a riskier mini - mall development plan paying 11% annual simple interest . The combined interest earned for the first year was $503 . How much money was invested at each rate ?

Answers

Answer:

4387.63

Step-by-step explanation:

HELP PLS I NEED help this is to get my grade up

Answers

Answer:  Around 10 days.  The real answer is 10 2/3.

Answer:

10 and 2-third days.

Convert mixed number to improper fraction

Initial equation

[tex]\frac{176}{9} / \frac{11}{6}[/tex]

Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11

[tex]\frac{176 * 6}{9 * 11}[/tex]

[tex]= \frac{1056}{99}[/tex]

Simplify.

[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]

which set of measures could be the measures of the interior angles of a triangle?

a.30°, 90°, 30°

b.32°, 59°, 79°

c.35°, 65°, 75°

d.22°, 37°, 121°

Answers

Answer:

D

Step-by-step explanation:

Whatever angle you pick the three possibilities must add to 180.

a) adds to 150

b) 32 + 59 + 79  =  170. Close but not close enough

c) c has three 5s. The total will end in 5. Not the answer.

d) d does add to 180. It's the answer.

Question -:

Which set of measures could be the measures of the interior angles of a triangle?

a.30°, 90°, 30°

b.32°, 59°, 79°

c.35°, 65°, 75°

d.22°, 37°, 121°

Explanation -:

In this question we are asked to find out which one could be the measures of the interior angles of a triangle. Add the three measure angles given if you get 180° then those angles can be the interior angles of a triangle.

We know that,

[tex] \bull \: \small\boxed{ \rm{ Sum \: of \: all \: interior \: angles \: of \: a \: triangle = 180°}}[/tex]

a) 30°, 90°, 30°

→ 30° + 90° + 30° = 180°

→ 150° ≠ 180°

Option a) is not the correct answer.

b) 32° , 59° , 79°

→ 32° + 59° + 79° = 180°

→ 170° ≠ 180°

Option b) is not the correct answer.

c) 35° , 65° , 75°

→ 35° + 65° + 75° = 180°

→ 175° ≠ 180°

Option c) is not the correct answer.

d) 22° , 37° , 121°

→ 22° + 37° + 121° = 180°

→ 180° = 180°

Hence, opition d) is the correct answer


If 27 out of 30 people passed a driving
test, what percent failed?

Answers

Answer:

10% failed the driving test

Step-by-step explanation:

27/30 = 90% and since 90% is what PASSED, 10% is what FAILED

this should be correct... if its not im sorry

Answer:

10% failed

27 / 30 is 90% so, 100% - 90% = 10%

Please mark Brainliest!!

5
5.2
4
Find the area of the parallelogram.
square units

Answers

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram is calculated with the following formula:

b*h (b: base, h: height)

5*4 = 20 square units

need help I don’t know what to do please help !!

Answers

Answer:

Yes, because the monthly service fee is approximately the same each month.

Step-by-step explanation:

At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.

1: solve the following pair of equations simultaneously using the method stated.

a) 2x-3y = 5 and 3x+4y = 6 (elimination method)

b) 4x-y = 9 and 3xy = -6 (substitution method)

c) y=x^2 - 2x and y = 2x -3 (substitution method)​

Answers

Answer:

Your answers are below ↓

Step-by-step explanation:

Given ↓

A) 2x-3y = 5 and 3x+4y = 6  ( The method this has to be solved in is the elimination method. )

Now using these,

(1)×3 - (2)×2 = 6x + 9y - 6x - 8y = 15 - 12

therefore,

y = 3

putting the value of y in eqn. (1)

2x + 6 = 5

therefore,

x = -1/2

B)  y=x^2 - 2x and y = 2x -3  ( The method this has to be solved in is the substitution method. )

Reduce the greatest common factor on both sides of the equation:
[tex]\left \{ {{4x-y=9} \atop {xy=-2}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-y=9-4x} \atop {xy=-2}} \right.[/tex]

Divide both sides of the equation by the coefficient of the variable:

[tex]\left \{ {{y=-9+4x} \atop {xy=-2}} \right.[/tex]

Substitute the unknown quantity into the elimination:

[tex]x(-9+4x)=-2[/tex]

Apply Multiplication Distribution Law:

[tex]-9x+4x^2=-2[/tex]

Reorder the equation:

[tex]4x^2-9x=-2[/tex]

Divide the equation by the coefficient of the quadratic term:

[tex]\frac{1}{4}(4x^2)+\frac{1}{4}(-9x)=\frac{1}{4}*(-2)\\[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}=-\frac{1}{2}[/tex]

Add one term in order to complete the square:

[tex]x^2-\frac{9x}{4}+(\frac{9}{4}*\frac{1}{2})^2=-\frac{1}{2}+(\frac{9}{4}*\frac{1}{2})^2[/tex]

Calculate:

[tex]x^2-\frac{9x}{4}+(\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Factor the expression using [tex]a^2$\pm$2ab+b^2=(a$\pm$b)^2[/tex]:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]

Simplify using exponent rule with the same exponent rule: [tex](ab)^n=a^n*b^n[/tex]

[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +\frac{9^2}{8^2}[/tex]

Calculate the power:

[tex](x-\frac{9}{8} )^2=-\frac{1}{2}+\frac{81}{64}[/tex]

Find common denominator and write the numerators above the denominator:

[tex](x-\frac{9}{8} )^2=\frac{-32+81}{64}[/tex]

Calculate the first two terms:

[tex](x-\frac{9}{8} )^2=\frac{49}{64}[/tex]

Rewrite as a system of equations:

[tex]x-\frac{9}{8} =\sqrt{\frac{49}{64} }[/tex] or [tex]x-\frac{9}{8} =-\sqrt{\frac{49}{64} }[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=\frac{\sqrt{49} }{\sqrt{64} } +\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:

[tex]x=\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over the common denominator:

[tex]x=\frac{7+9}{8}[/tex]

Calculate the first two terms:
[tex]x=\frac{16}{8}[/tex]

Reduce fraction to the lowest term by canceling the greatest common factor:

[tex]x=2[/tex]

Rearrange unknown terms to the left side of the equation:

[tex]x=-\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]

Rewrite the expression using [tex]\sqrt[n]{a} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:

[tex]x=-\frac{\sqrt{49} }{\sqrt{64} }+\frac{9}{8}[/tex]

Factor and rewrite the radicand in exponential form:
[tex]x=-\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]

Simplify the radical expression:

[tex]x=-\frac{7}{8} +\frac{9}{8}[/tex]

Write the numerators over common denominator:

[tex]x=\frac{-7+9}{8}[/tex]

Calculate the first two terms:

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

Reduce fraction to the lowest term by canceling the greatest common factor:

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

Find the union of solutions:

[tex]x=2[/tex] or [tex]x=\frac{1}{4}[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*2[/tex]

Calculate the first two terms:

[tex]y=-9+8[/tex]

Calculate the first two terms:

[tex]y=-1[/tex]

Substitute the unknown quantity into the elimination:

[tex]y=-9+4*\frac{1}{4 }[/tex]

Reduce the expression to the lowest term:

[tex]y=-9+1[/tex]

Calculate the first two terms:

[tex]y=-8[/tex]

Write the solution set of equations:
[tex]\left \{ {{x=2} \atop {y=-1}} \right.[/tex] or [tex]\left \{ {{x=\frac{1}{4} } \atop {y=-8}} \right.[/tex]   -------> Answer

C)   y=x^2 - 2x and y = 2x -3 ( This method this has to be solved in is the substitution method. )

Step 1: We start off by Isolating y in y = 2x - 3

y=2x-3 ----------> ( Simplify )

y+(-y)=2x-3+(-y)   ---- > ( Add (-y)on both sides)

0=-3+2x-y

y/1 = 2x-3/1 --------> (Divide through by 1)

y = 2x - 3

We substitute the resulting values of y = 2x - 3 and y = x^2 - 2x

(2 * x - 3) = x^2 - 2x ⇒ 2x -3 = x^2 - 2x ---->   ↓

                                               (Substituting 2x - 3 for y in y = x^2 -2x )

Next: Solve (2x - 3 = x^2 - 2x) for x using the quadratic formular method

2x - 3 = x^2 - 2x

x = -b±b^2-4ac/2a  Step 1: We use the quadratic formula with  ↓

                                                                                         a = -1,b=4,c= - 3

x = -4±(4)^2-4(-1)(-3)/2(-1) Step 2: Substitute the values into the Quadratic  Formular

x = -4± 4/ - 2         x = 1 or x = 3        Step 3: Simplify the Expression & Separate Roots

x = 1 or x = 3  ------- ANSWER

Substitute 1 in for x in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (1)  - 3 (Substituting)

y = -1 (Simplify)

Substitute 3 for in y = 2x - 3 then solve for y

y = 2x - 3

y = 2 · (3) - 3 (Substituting)

y =  3   (Simplify)

Therefore, the final solutions for y = x^2 -2x; y = 2x - 3 are

x₁ = 1, y₁ = -1

x₂ = 3, y₂ = 3              

Find the simple interest charged for a loan of:
a $2000 for 3 months at 1.1% per month

Answers

Answer:

$5.50

Step-by-step explanation:

I = Prt

P = $2,000r = 1.1% = 0.011t = 3 months = 0.25 years

Solving :

I = (2,000)(0.011)(0.25)I = (500)(0.011)I = $5.50

Need help trying to find the answer

Answers

Answer:

3/20

Step-by-step explanation:

1.  Multiply the numerators

2. Multiply the denominators

3. Your answer, in this case, will be 6/40

4. Simplify fraction to its simplest form* which gives you 3/20

*I halved both numbers as they are both even

Hope this helped :)

i need help with 7th grade math please 45 points need help ASAP + brainleist

Answers

25.13ft is the answer if you need explanation I can give you one but that’s the answer.

Answer:

25.13 ft

Step-by-step explanation:

Okay, simple. So first and foremost, set up the equation for the circumference of a circle

Circumference: [tex]2\pi (r)[/tex]

The diameter of the circle is 8 which means the radius is 4

So plug it in

[tex]2\pi (4)[/tex]

That will give us 25.13 ft

I really hope this helps!

Solve for X, will mark brainliest if right

Answers

Answer:

x = 8

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8

if w=10, x=5, and y=6, what is the surface are of the figure?

Answers

Answer:

hello!!!!

the answer is 280

im not really sure... read the description.... since i dont see a picture attached i dont know the figure shape which makes it difficult to guarantee the correct answer for you....

please read the explanation.. it always helps...

Step-by-step explanation:

okay im going to guess that the figure is a rectangular prism... if not please correct me

if so.... then...

2(10*5 + 10*6 + 5*6)= 280

There is some algebra in it I think! Thanks!! (I’ll add extra points and brainly just ask:)

Answers

Answer:

C. 27

Step-by-step explanation:

27 + 23 = 50

:)

Answer: hii :)

i know this oneeeee ^^ your answer is 27 <3

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

hopefully this helps you

- Matthew ~

What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?

Answers

Answer:

86486400

Step-by-step explanation:

a regular number cube is rolled. What is the probability that a 3 will not be rolled?
•1/6
•1/2
•4/5
•5/6

Answers

Answer:

5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

probability(event) = (number of desired outcomes)/(total number of outcomes)

The total number of outcomes is 6 since there are 6 different sides on the cube.

The number of desired outcomes is 6 minus 1 for rolling a 3, so it is 5.

p(not 3) = 5/6

P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?

Answers

The Gradient of the line PQ is -5/2.

What is Gradient?

Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.

Here, P (2, 7) and Q (6, -3)

Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

           m = [tex]\frac{-3 -7}{6 - 2}[/tex]

           m = -10/4

         m = -5/2

Thus, the Gradient of the line PQ is -5/2.

Learn more about Gradient from:

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In a class test containing 25 questions, 2 marks are given for every correct answer and 1 mark is deducted for every incorrect answer.
a. Aryan attempts only 22 questions and gets all of them correct. What is his total SCore?
b. Dhruv attempts all questions but gets 15 answers correct. What will be his Score? ​

Answers

Answer:

A. 44 (if unanswered questions do not deduct 1 point)

B. 40

Step-by-step explanation:

22 x 2 = 44

25 x 2 - 10 = 40

Find the measure of angle k

Answers

Answer:

30

Step-by-step explanation:

Answer: 30 Degrees

Step-by-Step Explanation:

As we know, a line is 180 degrees.

Hence, 65 + 85 + k = 180
= 65 + k = 180 - 85 = 95
=> k = 95 - 65 = 30

Therefore, k = 30

If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True

Answers

Answer:

HOPE THIS HElps

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function

Which statement best describes ratio

Answers

Answer is the last one
Reason. 3:12 is 3 pints blue paint to the total pints of paint (12 total)

15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.
A. 593.46 cm²
B. 693.46 cm²
C. 793.46 cm²
D. 893.46 cm²​

Answers

Answer:

594

Step-by-step explanation:

A=πrl+πr²

(22/7×9×12)+(22/7×9²)

=594

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?

A. Create a circle using the center with given point tool.

B. Connect the point with a line through the center of the circle.

C. Create another circle with the same radius as the original.

D. Connect the two circles together using the compass tool.

Answers

the answer is D
explanation

Answer:

The answer is D

Step-by-step explanation:

Draw the point at which your circle will be centered.

Use a compass to draw a perfect circle centered at point O.

Use a ruler to draw a vertical line straight through point O.

Draw the points at which the line intersects the circle.

Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.

Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".

Connect points X, Y, and Z using a ruler or straight edge.

if n varies directly with m and m=-12 when n=4 what is the value when n=-3

Answers

Step-by-step explanation:

m and n are directly linked to each other by a factor.

m×k = n

-12×k = 4

k = 4/-12 = -1/3

m×-1/3 = -3

m = 9

For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50
successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.

(a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)

(b)Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)

(c)Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

Answers

The correct answer to your question would be B because it’s computea with the corresponding sample that distributes the value. welcome.
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