Answer: 10^8
Step-by-step explanation:
Use the law of exponents
10^2X4
10^8
The expression of a function is such that it involves the input to be present as an exponent of some constant, then such function is called an exponential function. You can write (10²)⁴ as a single power of 10 as 10⁸.
What are exponential functions?When the expression of a function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called an exponential function. Their usual form is specified below. They are written in several such equivalent forms.
Given an exponential expression (10²)⁴, which can be written as a power of 10 using the law of exponents. Therefore, the expression can be written as,
(10²)⁴
Using the exponential property, [tex](10^a)^b = 10^{(a \times b)}[/tex]
= 10⁽²ˣ⁴⁾
= 10⁸
Hence, you can write (10²)⁴ as a single power of 10 as 10⁸.
Learn more about Exponential Functions here:
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A circle has a diameter of 8. What is the area in terms of π?
Answer Choices:
4π
8π
16π
32π
Answer:
16π
Step-by-step explanation:
ooohhhh, that makes so much more sense, I wasn't actually supposed to substitute 3.14 for π, whoops, sorry
the question is: examine the triangle shown below. set up and equation and solve it to find the value of x. you must show your equation step by step.
Answer:
x=20 degrees
2x-7+6x+7+20=180
Step-by-step explanation:
the total degrees of a triangle is 180
A ping pong ball (0.02 kg), bowling ball (25 kg), cotton ball (0.3 kg), wrecking ball (500 kg), and baseball (5 kg) are all moving with the same velocity. Which answer choice lists them from least kinetic energy to most kinetic energy?
A
Wrecking ball, bowling ball, baseball, ping pong ball, cotton ball
B
Cotton ball, baseball, ping pong ball, bowling ball, wrecking ball
C
Cotton ball, pin pong ball, baseball, bowling ball, wrecking ball
D
Ping pong ball, cotton ball, baseball, bowling ball, wrecking ball
Answer:
D) Ping pong ball, cotton ball, baseball, bowling ball, wrecking ball.
Step-by-step explanation:
If they are moving at the same time, the objects that have more mass have more kinetic energy.
the heaviest is the wrecking ball, and then the bowling ball, the baseball, the cotton ball, and the ping pong ball.
The only answer that follows this (in reverse) is D
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of spinning an odd number, not flipping heads, then not spinning a 6 is
__
Using it's concept, it is found that the probability of spinning an odd number, not flipping heads, then not spinning a 6 is:
[tex]p = \frac{20}{81} = 24.69\%[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There are 5 odd numbers in the spinner, out of 9, hence the probability of spinner an odd number is 5/9.The coin is fair, hence the probability of flipping tails = not heads is of 1/2.Out of the 9 numbers in the spinner, only one is six, hence the probability of not spinning a 6 is of 8/9.Then, the probability of the compound event is:
[tex]p = \frac{5}{9} \times \frac{1}{2} \times \frac{8}{9} = \frac{20}{81} = 24.69\%[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
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can someone help me please?
Answer:
sin ∠I = 12/13
Step-by-step explanation:
SOH CAH TOA
↑ sin = opposite side/hypotenuse
sin ∠I = 48/52 => sin ∠I = 12/13
Freddie has a bag of jelly beans which has the following colors:
2 purple
1 red
4 yellow
3 orange
What is the probability that Freddie will randomly select a purple jelly bean, eat it, and then select an orange jelly bean?
A: 1/15
B: 1/2
C: 3/50
D: 3/50
In the figure, line m is parallel to line n. The measure of angle 2 is 40 degrees and the measure of angle 3 is 68 degrees. What is the measure of angle 5?
Explain how you found the answer using the relationships of angles.
Answer:
∠1 - 40°
Step-by-step explanation:
∠1 - 40°
b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.
∠2 - 140°
b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.
∠3 - 40°
b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.
∠4 -
b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.
∠5 - 35°
b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.
hope that helps lol >:)
Jessica rented 1 video game and 3 movies for a total of $11.50.
• The video game cost $4.75 to rent.
• The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie?
What is the surface area of the triangular prism shown?
Answer:
Step-by-step explanation:
we need to find the surface area of the shapes before adding them together. the triangles are 6*4 and since there are two, we do not need to divide by 2. (normally to find the area of a triangle it is base times height divided by 2)
so the area of the triangles are 24 units. Next we have the outer rectangles. 7*5=35. Since there are 2, we multiply by 2. Last we have the middle rectangle. 7*6=42.
the whole equation would be: 24+70+42= 136
so your answer would be B: 136.
hope this helps :)
A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.
What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.
Answer: 50 cases per minute
Step-by-step explanation:
1. Select one of the points on the graph. Let's use (2, 100) in this case.
2. Divide the number of cases (y) by the amount of minutes (x) This means the equation would be 100 ÷ 2.
3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.
Look at Question 17
Please Help me
Answer:
3063
Step-by-step explanation:
;D B
I NEED HELP FAST! How much cardboard is needed to make the box shown
Answer:
its c
Step-by-step explanation:
The median and mean scores for a math test are shown.
Which distribution of scores would best account for the difference in the median and mean?
Median score: 82%
Mean score: 70%
Answer:
median score
Step-by-step explanation:
Find the area of the semicircle. Round your answer to the nearest hundredth.
Answer:
56.52
Step-by-step explanation:
This is because in order to find an area of a circle you must do R^2*3.14 and since it is a semicircle add /2 so R^2*3.14/2 and since half of 12 is 6, 6*6 is 36 and 36*3.14 is 113.04 and divide that by 2 which is 56.52
Answer:
177.475 [tex]inches^{2}[/tex]
Step-by-step explanation:
Since the formula for finding the area of a full circle is A = π[tex]r^{2}[/tex], area equals pi times radius squared, we fill out the formula and solve.
A: unknown
Pi: 3.14
Radius: diameter is 12, so you divide it by 2, which is 6.
A = 3.14 x 6 squared.
using pemdas, you do exponents first,
A = 3.14 x 36
A ≈ 113.04
Now that we have the area for the full circle, we divide it by two to find the area of the semicircle,
113.04/2
= 56.52
So, the area of the semicircle is 56.52 [tex]inches^{2}[/tex]
This is my 3rd answer as a helper, I hope it helped!
The data shows the survey results of 75 randomly selected students.
Student Travel Over Spring Break
Travel Plans
Number of Students
Not traveling
34
Traveling by plane
10
Traveling by train
6
Traveling by car
23
Traveling by bus
2
The school has 300 students total. Based on the results of the poll, how many of the school’s students should be expected to travel by plane over spring break?
A.
60
B.
50
C.
30
D.
40
PLEASE HELP THIS ASSINGMENT IS LATE
Answer:
The answer of the other person
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
108
Step-by-step explanation:
Answer:
108 yd^2
Step-by-step explanation:
Cut the figure in half. Make a rectangle and a square.
Now u got a 6ydx6yd square.
And a 6ydx12yd rectangle.
Figure out the square 1st.
6x6=36yd^2
Now figure out the rectangle.
6x12=72yd^2
Now add them together.
72+36=108yd^2
Simplify the expression using positive exponents.
5^9 ⋅ 5^3
Answer:
244140625 or 5^12
Step-by-step explanation:
When it comes to multiplication, you add exponents IF the base (the 5 at the bottom is called base) is the same answer. for example: 1^16 x 1^9, since the exponents are the same you just add the exponents (16 & 9) which is 25 or 1^25
Dividing is the same as multiplying except your subtracting with the examples, adding and subtracting is simplifying and solving, for example
14^2 + 13^3
14 * 14 = 196
13*13*13 =2,197
196+2,197 = 2,393
Same thing for subtraction
13^3 - 14^2
2,197 - 196 = 2,001
Hope this helps
~R3V0
he number line below represents the solution to which inequality?
A.) m ÷ 4 > 1.1
B.) m ÷ 3 < 1.2
C.) 2m < 8.8
D.) 5m > 22
Answer:
i think it is a hope it helps
Step-by-step explanation:
hiya boys answer this for a chance to get a cookie
Answer:
∠4 = 102°
Step-by-step explanation:
∠4 = 180 - 78 = 102°
Answer:
The answer is 3 (112 Degrees).
Step-by-step explanation:
Search it up-
Wheres my cookie- :D
Fares has a container filled with 540 grams of tea leaves. Each morning, he uses 6 grams to make a cup of tea.
Write an expression to represent the grams of tea leaves remaining after x days.
How many grams of tea leaves will remain after 17 days? Show your work.
Answer:
Step-by-step explanation:
Quantity of tea leaves used for one morning = 6 grams
Quantity of tea leaves used for 'x' days = 6 *x = 6x grams
Quantity of tea leaves left after x days = 540 - 6x
Expression: 540 - 6x
Quantity of tea leaves remaining after 17 days = 540 - 6*17
= 540 - 102
= 438 grams
I need help with this please
What is the opposite of 0.917
will give brainliest or however its spelled THis will have to things you need to help me with!! I need help now because its due at 2:30 and where I live its 1:50. 19 points PLEASE HELPPPP!!!!! Tomas got a score of 75% correct on an exam. There were 24 questions on the exam. What number of questions did Tomas get correct?
A
6
B
12
C
16
D
18 Read the question and type your response in the box provided. Your response will be saved automatically.
The Jackson family is driving from Boston to New York for a summer vacation trip. So far, they have driven 84 miles which is 40% of the total miles of their trip. How many miles is the Jackson’s trip from Boston to New York?
Explain how you solved this problem in the box below. Include a description of your strategy and your answer in your explanation.
Answer:
18
Step-by-step explanation:
Given the Following.... please help!
Answer:
The exponential equation is y = -2×(1/2)^x
Step-by-step explanation:
1) The horizontal asymptote of the function is the x axis (always nice)
2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)
3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:
can u give me the brainliest ?
Find the price after tax for a $940 iPhone with a NJ sales tax of 6.625%.
Answer:
$1002.27
Step-by-step explanation:
940×6.625%= $62.27
$940+$62.27= $1002.27
help me its math khan academy 8th grade math
Answer:
95%
Step-by-step explanation:
So, we can see on the chart that 78 out of 82 people from ages 18 to 22 use Face.book. So we're trying to find what percentage 78 is of 82:
The first step is to write 78 as a fraction of 82, which is:
78/82
In order to find the simplest form of 78/82 we cancel out the greatest common divisor of 78 and 82, which is 2 :
78/82 = 37/41
Now we just need to convert this fraction to a percentage :
37/41 = 95% (rounded)
So we have the final answer :
78 is 95% of 82
Which means that:
Approximately 95% of people from ages 18 to 22 use Face.book
hope this helps:)
Answer:
35%
Step-by-step explanation:
A machine produces wooden blocks at a constant rate. At the end of 6 minutes, it has produced 48 blocks. Which table represents the relationship between the number of minutes the machine produces wooden blocks and the number of blocks produced?
Answer:
it would be D. For every minute it is doing 8 peices
Step-by-step explanation:
What is the value of X?
X+9=16
Answer:
5
Step-by-step explanation:
please help please it's on topic systems of equations