What is [tex]log_{2} 1024[/tex] ?

Answers

Answer 1
The logarithm is a mathematical operation that calculates the power to which a given number (called the base) must be raised to obtain a given value. In the case of log2, the base is 2.

So, log2 1024 means, what power must we raise 2 to, to get 1024.

By definition, we have 2^10 = 1024, so log2 1024 = 10.

Related Questions

PLEASE HELP 65 POINTS

Answers

Answer:

1.  40π

2.  7

3.  It's probably wrong because you didn't screenshot the whole chart.

I think it’s 40 and 7 square

look at the model and answer the following questions

Answers

Answer: Can't see the questions clearly, also  3/4 x 1/3 is 1/4

Step-by-step explanation:

HELP GRADE 4 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

i) = num of families having 2 girls/ total num of families
= 475/1500
=19/60
ii) = num of families having 1 girl/ total num of families
= 814/1500
iii) = num of families having no girl/ total num of families
= 211/1500
iv) 475/1500 + 814/1500 + 211/1500 = 1

(1) Total No of families = 1500

Total No of families with 2 girls = 475

Probability of family being chosen at random having 2 girls = 475/1500 = P1 = 19/60

(2) Total No of families = 1500

Total No of families with 1 girl = 814

Probability of family being chosen at random having 1 girl = 814/1500 = P2 = 407/750

(3) Total No of families = 1500

Total No of families with no girl = 211

Probability of family being chosen at random having no girls = P3 = 211/1500

(4) P1 + P2 +P3

=19/60 + 407/750 + 211/1500

= 475 + 814 + 211/1500

=1500/1500

=1

Yes, the sum of there Probabilities does add up to 1

Sebastian is making gingerbread cookies and lemon bars for a holiday party. He needs 2.5 times as much sugar for the bars as he needs for the cookies. If his gingerbread cookie recipe calls for 1.5 cups of sugar, how much sugar does Sebastian need for the lemon bars?

Answers

Answer:

3.75 cups of sugar

Step-by-step explanation:

if he needs 2.5 times as much sugar as 1.5 cups of sugar, he needs

2.5x1.5= 3.75 cups of sugar

Select the statement that correctly explains how to use the benchmark fraction one half to compare the fractions three eighths and six tenths.


three eighths is greater than six tenths because three eighths is greater than one half and six tenths is less than one half.

three eighths is equal to six tenths because three eighths is equal to one half and six tenths is equal to one half.

six tenths is less than three eighths because six tenths is less than one half and three eighths is greater than one half.

six tenths is greater than three eighths because six tenths is greater than one half and three eighths is less than one half.

Answers

Answer:

Step-by-step explanation:

b

Find 62% of 50. Show your work or explain how you arrived at your answer.

Answers

it is 31. in order to find this answer , you multiply 50 by .62.
Answer : 31Answer : 31= 62/100×50/1Answer : 31= 62/100×50/1= 3100/100Answer : 31= 62/100×50/1= 3100/100= 31

Please answer!!!!!!!

Answers

Answer:

angle FDE = 44 degrees

angle DEF = 66 degrees

angle FHG = 44 degrees

angle CDE = 63 degrees

angle BCE = 105 degrees

Step-by-step explanation:

first image

2x + 3x = 110

5x = 110

x = 22

angle FDE = 2x = 2(22) = 44

angle DEF = 3x = 3(22) = 66

angle FHG = 2x = y = 44

second image

2x - 21 + 42 = 3x - 21

42 = x

angle BCE = 3x - 21 = 3(42) - 21 = 105

angle CDE = 3y = 2x - 21 = 2(42) - 21 = 63

6/12 is equal to 1/2 how does the model you shaded in problem 5 show that and solve this one too Write a fraction from the box to complete the expression then complete the model to show the problem

Answers

Answer:

Step-by-step explanation:

1/5=2/10

The high school soccer team can have no more than 26 players. Right and solve an inequality to determine how many more players can make a team in the coaches already chosen 17 players. please include the inequality, solution, and interpretation.

Answers

Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

Answer:

x ≤ 26 only have 9 more players

Step-by-step explanation:

26 is the most amount of players you can have, hence less than or equal to. If you have 17 people, you can only have about 9 more players.

Question Down
T
H
E
R
E
l
V

Answers

Answer:

22

Step-by-step explanation:

"twelve more" means 12 plus something

"product of 5 and a number" means 5x

12+5x

12+5(2)

12+10

22

Is 22 the answer? I think it is

Angles
6-10
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answers

Answers for pictures 1, 2, &3

Question 1: P = 35 degrees

It is given to us that angles N and P are complementary.

Complementary angles means the sum of the angles = 90 degrees.

Because angles N and M are supplementary, meaning they = 180 degrees, you can subtract angle M from 180.

180 - M = N

180 - 125 = 55

N = 55 degrees

Now that we know N = 55 degrees, we subtract that from 90 degrees to find P for N + P = 90 degrees, so if we subtract 55 from 90 we will get the value of angle P.

90 - N = P

90 - 55 = 35

P = 35 degrees!

Question 2: Option 4

We are trying to figure out which angles are congruent to one another.

We can rule out option one, for angles 1 & 4 are supplementary meaning their sum = 180 degrees.

The same applies for options 2 & 3, leaving us with the correct answer, option 4. We can make sure this is true because angles 3 & 5 are alternate interior angles, and alternate interior angles of parallel lines are congruent.

Question 3: x = 5

The three different angles add up to 180 because they are a straight angle.

First, we need to find out what 9 and 10 are equal to.

To do so, we can subtract 85 from 180.

180 - 85 = 9x + 10x

9x + 10x = 95

Now that we have an equation, we can simplify to find the value of x.

9x + 10 = 95

19x = 95

Divide by 19 on each side to isolate the variable x

x = 5

Hope this helps!

You must read 130 pages for homework. Reading at the same rate as the previous question, can you complete the assignment in two hours?

Answers

What is the previous question?
You can’t answer without it.

Answer:

Since you must read 52 page per hour, and there is 2 hours to complete assignment, then you will do this:

52 + 52 = 104

You would be able to read 104 pages in 2 hours, which is less than 130, so you would NOT be able to complete the assignment.

Step-by-step explanation:

Hope it helps! =D

Please help! I will do brainlist
-Screenshot-

Answers

11% is the answer boss

Answer:

44% Option A

Step-by-step explanation:

Percent of people choosing bumper cars =

                                              [tex]\frac{NumberOfPeopleWhoChooseBumperCars}{TotalNumberOfPeople}[/tex] × 100%

                                            = [tex]\frac{22}{50}[/tex] × 100%
                                    Enter in calculator
                                            = 44%

Please Help I need it before morning ET America

Answers

Ok so the first thing you need to do is convert the fraction to hundreds. Since 20 goes into 100 5 times, we are going to multiply the fraction by 5/5.

(3/20)x(5/5)= 15/100

15/100 is the same as 15 percent

ANSWER: (3/20)= 15 percent

Hope that helps! Let me know if you have any questions about what I did!
We will multiply 3/20 by 5/5 because 20•5=100 and percents are fractions over a hundred. But, since we multiplied 5 by 20, we need to do the same to the numerator, 3. 3•5=15. Our new fraction is 15/100. When we have a numerator, in this case 15, over the denominator 100, our numerator would be the percent. So, 3/20 as a percent is 15%

The Pythagorean Theorem and its Converse

Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answers

Since [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex], the angle formed by the sides is a right angle. Therefore, the garden is not a square.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For this problem, we have that:

The side lengths are of 4.The hypotenuse is of [tex]4\sqrt{2}[/tex]

Applying the Pythagorean Theroem, the equality [tex]4^2 + 4^2 = (4\sqrt{2})^2[/tex] hold true, meaning that the triangle is in fact a right triangle.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Im super confused PLEASEEEEE HELPPPPPPP

Answers

Answer:

The required height of the lighthouse is given as 160 ft tall.

Given that,

A scale model of a lighthouse has a scale of 1 in. : 8 ft. The scale model is 20 inches tall.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,

scale factor = 1 / 8 in per ft

Now,

The actual length of the lighthouse =  20 / [1 / 8]

                                                            = 20 × 8 = 160 ft

Thus, the required height of the lighthouse is given as 160 ft tall.

Learn more about Scale factors here:

brainly.com/question/22312172

#SPJ2

Step-by-step explanation:

give the person that first answered brainliest ♥️

Khalil read 88 pages in 2 2/3 hours. At what rate, in pages per hour, did he read? At what rate, in pages per hour, did he read?

First, reason down from 2 2/3 to 1/3 Enter all values as fractions (proper or improper) or whole numbers. You will need to convert mixed numbers to improper fractions.

Answers

Answer:24 im pretty sure

Step-by-step explanation:

A burrito company uses the function C(x) = 1.74x2 to calculate the number of calories in a tortilla with a diameter of x inches.
a) Find the average rates of change for the function over the intervals 6 < x < 8 and 9 < x < 11.
b) Interpret the average rates of change.
c) What does the difference in the average rates of change mean in terms of the situation?

Answers

Answer:

7 and 11 are the rates

Step-by-step explanation:

Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.

Answers

Answer:

The line x=b2a will serve as the parabola's axis of symmetry.

Detailed explanation:

Graph the parabola y=x2−7x+2 .

To get the values of a, b, and c, compare the equation with y=ax2+bx+c.

In this case, a=1, b=7, and c=2.

To write the axis of the symmetry equation, use the coefficient values.

The line x=b2a serves as the axis of symmetry for a quadratic equation of the form y=ax2+bx+c. Therefore, x=(7)2(1) or x=72 is the equation of the axis of symmetry of the given parabola.

To determine the vertex's y coordinate, change x=72 in the equation.

y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84  =−414

The vertex's coordinates are (72, 414) as a result.

Some irrational numbers are whole numbers.


All whole numbers are rational numbers. true or false


No integers are irrational numbers. true or false


All integers are rational numbers. true or false

Answers

Answer:

1 false

2 true

3 true

4 true

Can someone please explain??

Answers

Answer:

Step-by-step explanation:

divide by 6

2k+8=-8

subtract 8 in both sides

2k=-16

divide by 2

k=-8

equal to -8

In order to solve for k you always want to try and isolate the variable (trying to get only k on one side of the equal sign). You can start of by distributing 6 into the numbers in the parenthesis. So 6 times 2k is 12k and 6 times 8 is 48. So in reality, you now have 12k+48= -48. Then you can subtract 48 from the left side to cancel it out. Note: you would not add 48 to cancel out the -48 on the right because you need a number on both sides of the equal sign. So once you subtract -48 from one side you must do it to the other so -48-48 is -96. Now you have 12k=-96. All you have to do now is cancel out the 12k but dividing since it is the inverse of multiplying. Divide 12 from both sides and -96 divided by 12 is -8.

So your answer is k=-8

2/7 divided by 6 equals?

Answers

Answer: 1/21

Step-by-step explanation: Change 6/1 to 1/6 and multiply

Answer:

Step-by-step explanation

If you've ready any of our fraction walkthroughs before, you'll know we always kick the show off with a quick recap for the kids. The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful!

To visualize the question we are trying to solve, let's put 2/7 and 6 side-by-side so it's easier to see:

2

7

÷   6

So here is the incredibly easy way to figure out what 2/7 divided by 6 is. All we need to do here is keep the numerator exactly the same (2) and multiple the denominator by the whole number:

2

7 x 6

=

2

42

Can it possibly be that simply to divide a fraction by a whole number? Yup. I hate to disappoint you but this might be the easiest problem you've had to solve all day long!

In this particular case there is one slight adjustment we can make. The new fraction we have (2/42) can actually be simplified down to a smaller fraction:

your welcom

Find 25% of 80. Show your work or explain how you arrived at your answer.

Answers

Answer:

20Step-by-step explanation:

25/100×801/4×80=20
25% of 80 is 20

Formula:

25÷100×80 which will give you 20 as the answer.

The Pythagorean Theorem and its Converse
6-9
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.

Answers

Answer:

Question 6 & 9 is not a right-angled triangle. However, Question 7 & 8  is right-angled triangle.

Step-by-step explanation:

A triangle can be determined to be a right-angled triangle if and only if one of the following conditions is satisfied:

Pythagorean Theorem: If in a triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right-angled triangle. Symbolically, if a, b, and c are the lengths of the sides of the triangle, with c being the length of the hypotenuse, then a^2 + b^2 = c^2.

Angle criterion: If in a triangle, one of the angles is equal to 90 degrees, then the triangle is a right-angled triangle.

Right Angle Mark: If a triangle has a right angle mark (a small square) on one of its angles, then it is a right-angled triangle.

By using any one of the above methods, you can determine whether a triangle is a right-angled triangle or not.

So, Question no 6

Let the distance between three cities be a, b and c i.e. 45 miles, 56 miles and 72 miles.
using Pythagoras theorem,
a^2 + b^2 = c^2
45^2+56^2=72^2
2025+3136=5184
5161=5184

Hence, It's not a right-angled triangle.


So, Question no 7 has three sides a, b and c i.e. 4 ft, 3 ft and 5 ft.
using Pythagoras theorem,

a^2 + b^2 = c^2
4^2+3^2=5^2
16+9=25
25=25
Hence, it's a right-angled triangle.

Question no 8 also have three sides a, b and c i.e. 5 in, 12 in and 13 in.
using Pythagoras theorem,

a^2 + b^2 = c^2
5^2+12^2=13^2
25+144=169
169=169
Hence, it's a right-angled triangle.

Question no 9 also have three sides a, b and c i.e. 9.5 feet, 16 feet and 18.5 feet.
using Pythagoras theorem,

a^2 + b^2 = c^2
9.5^2+16^2=18.5^2
90.25+256=342.25
346.25=342.25
Hence, It's not a right-angled triangle.

Please help. I WILL make first person to answer brainliest.
Requirments:
Very simple explanation
Answer
No step by steps.
Thank you
Also sub to Graystillplays bc he is GOATED and hilarious

Answers

Answer:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st term: 5m  2nd term:9

coefficient= 5

constant=9

yw it is easy

this is important!! im trying to help my friend out with homework

Answers

Answer:

im sure its 12

Step-by-step explanation:

You need 1 1/4 cups of sugar to make 20 cookies To make 12 cookies, you will need____cups of sugar.

Answers

Answer:

3/4 cup

Step-by-step explanation:

you have 1 1/4 cup for 20 cookies

if you divide them you will get 0.0625

0.0625 x 16 = 0.75

0.75 = 3/4

Answer:

3/4 cup of sugar

whyyyyyyyyyyy mattttttttttttth!!!

Answers

Answer:the third one

Step-by-step explanation: 0.45 is just 45/100

Answer:

C.

Step-by-step explanation:

Can you click the crown on this answer please? Thanks!

can someone help me with these

Answers

question 1: eight goes into the number 52 six times, so that is what goes in the box to the left of “r”. 8 x 6 = 48, so that is what goes into the two boxes below 52. do 52-48 which equals 4, meaning that 4 is what goes to the right of “r”.

question 2: five goes into forty-one 8 times, so put the 8 to the left of “r”. multiply 5 x 8 = 40, and put the 40 below the 41. subtract 41-40= 1, meaning the 1 is what you put to the right of “r”.

question 3: six goes into twenty-seven 4 times, so put the four above the 27. multiply 6 x 4 = 24, so put the 24 below the 27. subtract 27-24= 3, meaning 3 is the number that goes to the right of “r”

Answer:

8.2

4.5

6.5

Step-by-step explanation:

Please help!! (I added a screenshot)

Answers

i am postitive its 40

It is 30, I hope this helped!
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