Find the value of each of the following. Show work. 10 points for the best answer!
Answers
b. The answer is 16 raise 2 to the power of 4 to get 16
c. The answer is 27 raise 3 to the power of 3 to get 27
d. The answer is 100.000 raise 10 to the power of 5 to get 100.000
Related Questions
A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 200 trials. The results are recorded in the table.Outcome| Number of trials | 10__50___200 Red | 5___36___152 Purple | 5___14___48 Based on the table, how many times can you expect that a purple ball will be selected in 400 tries?
By rounding to 1 significant figure, estimate494.37÷5.12please help tyty x
What is (7m+5)^2 Simpler form of product
Pet Supplies makes a profit of $.5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
1 14/24
B)
1/2
C)
19/12
D)
1 7/12
Answers
To simplify the answer and write it as a mixed number is D)1 7/12
How to Add 1/6+3/4+2/3.
To add the fractions 1/6, 3/4, and 2/3, we need to find a common denominator.
The common denominator for 6, 4, and 3 is 12.
Converting the fractions to have a denominator of 12:
1/6 = 2/12
3/4 = 9/12
2/3 = 8/12
Now we can add the fractions:
2/12 + 9/12 + 8/12 = 19/12
The sum of the fractions is 19/12.
To simplify the answer and write it as a mixed number, we divide the numerator (19) by the denominator (12):
19 ÷ 12 = 1 remainder 7
Therefore, the answer is 1 7/12.
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Rewrite each fraction with the denominator 12.
1/6 = 2/12
3/4 = 9/12
2/3 = 8/12
2/12 + 9/12 + 8/12 = 19/12
This can be written as the mixed number 1 7/12.
The answer is D) 1 7/12
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is
Answers
Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment which is formed by sub - experiments that can occurred in
ways, the total number of ways in which the whole experiment
can be developed is :
x
x ... x
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
(I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have different objects and we want to find the ways that we can choose
objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
a) 840 different ways
b) 35 different choices of books
Final answer:
The number of different ways the course could unfold is 210, and the number of different choices of books the class could make is 35.
Explanation:
The number of different ways the course could unfold is equal to the number of permutations of the 4 books chosen from the list of 7. This can be calculated using the formula for permutations: P(n, r) = n! / (n - r)!. In this case, n = 7 (the number of books) and r = 4 (the number of books chosen). Using the formula, we get P(7, 4) = 7! / (7 - 4)! = 7! / 3! = 7 imes 6 imes 5 = 210.
The number of different choices of books the class could make is equal to the number of combinations of the 4 books chosen from the list of 7. This can be calculated using the formula for combinations: C(n, r) = n! / (r! (n - r)!). In this case, n = 7 (the number of books) and r = 4 (the number of books chosen). Using the formula, we get C(7, 4) = 7! / (4! (7 - 4)!) = 7! / (4! imes 3!) = (7 imes 6 imes 5) / (4 imes 3 imes 2) = 35.
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Answers
The balance after the third payment is $1715.05.
How to find the compound interest?
If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
We are given that;
Amount= $2000
Rate= 1%
Monthly payment = $100
Now,
Plugging these values into the formula, we get:
A = 2000 (1 + 0.01/12)^(12 * 3/12) A
≈ 2015.05
=2015.05 - 100 * 3
= $1715.05
Therefore, by the given interest the answer will be $1715.05
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Answer:
$2.52
Step-by-step explanation:
If you start with the balance being $2000, the monthly payment is $100 with the percentage rate being 1%. You would way 0.84 per month and if you multiply that by three months, you get $2.52.
Answers
Final answer:
The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.
Explanation:
A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).
From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.
Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.
Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.
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Answers
Pic below
Hope this helps :)
Answers
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50