Answers
Answer:
1. <
2. <
3. >
Step-by-step explanation:
Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.
1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2=32[/tex]
[tex]=32[/tex]
[tex]2^2 = 2\times2[/tex]
[tex]2\times2=4[/tex]
[tex]32\times4=128[/tex]
[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]
128 < 1024
2. [tex]2^2=2\times2=4[/tex]
[tex]5^2=5\times5=25[/tex]
[tex]4\times25=100[/tex]
[tex]=100[/tex]
[tex]2^{10} = 1024[/tex]
100 < 1024
3. [tex]2^5 = 32[/tex]
[tex]5^2=25[/tex]
[tex]32\times25=800[/tex]
[tex]10^2 = 10\times10 = 100[/tex]
800 > 100
Hope this helps.
Related Questions
Which equation describes a relationship such that x = 0 must be excluded from the domain?
Answers
Answer:
Example: f(x) = (1 + x + x^2) / x, x=0 is excluded from the domain, since division by zero is undefined.
Step-by-step explanation:
Determine if the two triangles are congruent. If they are, state how you know.
PLEASE HELP!!!!!!
Answers
What does 1/2 + 1/4 equal
Answers
1/2 is the same thing as 2/4. 2/4 plus 1/4 equals 3/4
Answer:
0.75 as a decimal, and 3/4 as a fraction
Step-by-step explanation:
Watson and Alva each have the same total number of toy cars and trucks Watson has 4 boxes. Each of his boxes has 7 cars and 2 trucks. Alva
has 2 boxes. Each of his boxes has 11 cars and the same number of trucks
How many trucks are in each of Alva's boxes?
Answers
Answer:
Alva has 7 trucks in each box.
Explanation:
You need to determine the total number of toys Watson has. Watson has 4 (7+2) = 4(9) = 36 toys.
Set 36 equal to an expression for the number of toys Alva has. Using t for the number of trucks, 36 = 2 (11+t).Then, solve the equation.
36 = 2(11+t) 36 = 22 + 2t 14 = 2t7 = tSo how many trucks are in each of Alva's boxes?
7 Trucks!The number of trucks that Alva has is 7.
How many trucks does Alva have?A linear function is a function that is made up of a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
y = dependent variable b = constant m = independent variableThe first step is to determine the total number of toy cars and trucks that Watson has.
Total number of toy cars and trucks that Watson has = (4 x 7) + (4 x 2)
= 28 + 8 = 36
Since Watson and Alva have the same number of toy cars and trucks, it means that Alva would also have 36 toy cars and trucks.
The equation that represents the total number of toy cars and trucks that Alva has is:
(2 x 11) + (2 x t) = 36
22 + 2t = 36
36 - 22 = 2t
14 = 2t
t = 14 / 2
t= 7
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ3
Help help help help
Answers
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Answers
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
The area of a rectangle is x^2-4/2x in.2, and its length is (x + 2)2/2 in. Find the width.
Answers
Step-by-step explanation:
the area (length × width) is
A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x
length = (x + 2)²/2 = (x + 2)(x + 2)/2
width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =
= (x-2)/x(x+2) = (x-2)/(x²+2x)
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
Answers
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
https://brainly.com/question/11897796
All items or people of interest in an experiment is called
Answers
Answer: a population
Step-by-step explanation:
Step-by-step explanation:
I think your answer is Population
The decimal form of (-104)/5 is ____________
Answers
Step-by-step explanation:
4.5×10 5 =450000
hope it will help you
"8% of a number is 20."
Answers
Answer: 250
Step-by-step explanation:
Parallelogram A and B are similar. What is the scale factor from rectangle A to B? 12 2 5 А B 4.8
Answers
Answer:
i dont get it
Step-by-step explanation:
Need some help I’m really trying graduate
Answers
A machinist needs to drill 4 holes 6/16” in diameter. What is the hole size in eights of an inch?
Answers
Answer:
3/8"
Step-by-step explanation:
Reduce the fraction. The numerator and denominator are both divizable by 2 which leaves 3/8
Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!
Answers
Answer:
Step-by-step explanation:
slope=(-2-2)/(-2-6)=-4/-8=1/2
eq. of line is
y-2=1/2(x-6)
2y-4=x-6
2y=x-6+4
2y=x-2
or y=1/2x-1
If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?
Answers
Answer: 1:3
Step-by-step explanation:
(add) 16 + 4 + 20, + 8 = 48.
Then simplify 16:48 = 2:6 = 1:3
Hope this helped, have a great day/night!
~IFoundJiminsLostJams~
hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!
Answers
Explanation:
Multiply the numbers up top: 8*1 = 8
Multiply the numbers in the bottom: 9*4 = 36
The two fractions 8/9 and 1/4 multiply to 8/36. Reduce this to 2/9 after dividing both parts by the GCF 4.
In other words,
8/4 = 2
36/4 = 9
Hello there! :)
When multiplying fractions, we multiply the numerator times the numerator and the denominator times the denominator. We reduce if it's necessary.
So multiply:
[tex]\frac{8}{9} *\frac{1}{4} \\[/tex]
Reduce and get:
[tex]\frac{2}{9} *\frac{1}{1} \\\frac{2}{9}[/tex]
And that's our final answer. Hope it helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
Find x and y intercept 5x + 4y = 8
Answers
The x-intercept is: x= 8/5
The y-intercept is: y= 2
Answer:
(8/5, 0)
Step-by-step explanation:
5x - 4(0) = 8
5x = 8
x = 8/5
Tyson can type 49 words per minute. How long will it take him to type a 1000-word essay?
Answers
Answer:
20.4minutes
Step-by-step explanation:
Duration= Number of words/Typing speed
Duration= 1000/ 49 per min
= 20.4minutes
Hope this helped you- have a good day bro cya)
5) Cuando 102 se divide por 2/3 la respuesta es
Answers
Answer:
Cuando 102 se divide por 2/3 la respuesta es 153
Step-by-step explanation:
102 : 2/3 =
102 * 3/2 =
51 * 3 =
153
[tex]1 - \frac{1}{5} \times 2 + 0.5[/tex]
tolong jawab kalau bisa sama penjelasan nya
Answers
Answer:
here is my solution for that problem. i hope it will work.
[tex] = \frac{11}{10} \\ \\ \\ in \: \: alternate \: form \\ \\ 1 \frac{1}{10 \: \: \: } \: \:,1.1[/tex]
hope it helpsWhat is the volume of the storage bin?
Answers
Answer:
Step-by-step explanation:
volume = 180 * 9
volume = 1620 in³
What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement?
Answers
Answer:
65435675e
Step-by-step explanation:
12456764 br5654365
4. Which values are solutions of
2x – 1= 7? Select all that apply.
A) X=-4
(B) x = -3
C=3
D= 4
Answers
Answer:
D. x = 4
Step-by-step explanation:
2x – 1= 7
add 1 to both sides:
2x=8
divide both sides by 2:
x=4
One solution.
Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?
Answers
Answer:
134
Step-by-step explanation:
So assuming x is the score on the computer science exam, it would take 300*0.32+x=500*0.46=230 to get x=134
Mikey is reading a 604-page book. He read 148 pages last week. If he reads for x hours at 19 pages per hour, which equation represents how long it will take him to finish the book?
A.
148x + 19 = 604
B.
19x + 604 = 148
C.
19x + 148 = 604
D.
19x - 148 = 604
Answers
Answer:
C
Step-by-step explanation:
first take off the 148 of the 604 page book then divide the rest by 19 ,
it should be 24 hours - 1-day .
it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.
What's the area of the orange running track going around the field?
Answers
Answer:
NO IDEA
Step-by-step explanation:
Find the geometric mean between each pair of numbers
Show your work please
Thank you❤️❤️❤️
Answers
Answer:
1.26
Step-by-step explanation:
geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26
Add, answer as a fraction:
1/15 + 3/12
A) 10/67
B) 12/27
C) 19/60
D) 4/27
Answers
Answer:
Hello, There! I'll be glad to help!
Question1/15 + 3/12
Answer[tex]\boxed{Option ~C. ~19/60}[/tex]
Step-by-step explanation:
[tex]\frac{1}{15} +\frac{3}{12} =\frac{1 ~x~4}{15~x~4} +\frac{3~x~5}{12~x~5} =[/tex]
[tex]\frac{4}{60} +\frac{15}{60} = \frac{19}{60}[/tex]
Therefore, Your Answer is (Option C.)
Calculate the quotient of 54256/45 round to the nearest tenth
Answers
Answer:
3.4
Step-by-step explanation:
will 3.4 is is rounded of 54256 in decamal