2^3 - (12 divide 6) + 8
Answers
Related Questions
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answers
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
how to find area of irregular shapes?
Answers
Finding the area of irregular shapes can be challenging, as they do not have a regular geometric formula to calculate their area. However, there are a few methods you can use depending on the shape and available information. Here are three common approaches:
Break it into simpler shapes: If the irregular shape can be divided into simpler geometric shapes (such as rectangles, triangles, circles, or trapezoids), you can calculate the area of each individual shape and then sum them up to find the total area. This method is called the “composite shape” or “dissection” method.Approximation using grids: If you have a grid or graph paper, you can overlay it on the irregular shape and count the number of squares that are fully or partially covered by the shape. Multiply the number of squares by the area of each square to estimate the area of the irregular shape. This method is known as the “grid method” or “counting squares.”Using calculus: If you have an equation or a graph of an irregular shape, you can use calculus techniques to find the area. By integrating the function that represents the shape's boundary or using numerical integration methods, you can determine the area under the curve. This method is more advanced and requires knowledge of calculus.It's important to note that these methods provide approximations and may not yield exact results, especially for highly complex irregular shapes. Additionally, there may be specialized techniques for specific types of irregular shapes. In some cases, using computer software or online tools designed for area calculations can also be helpful.
Remember to carefully assess the shape and available information to choose the most suitable method for finding the area of an irregular shape in your specific situation.
halp, me answer please it's hard and I'll make u the brainliest......
Answers
Answer:
activity 2 number 1 is 4cm number 2 is 26cm number 3 is 15 or 14 not sure
Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Answers
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Answers
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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determine the difference of the place value of 7s
in 3701 4472
Answers
Answer:
Place value of 1st digit=7,000,000
,,. ,,,. ,,,. of 2nd digit= 70
Difference= 7,000,000-7
You get 6,999,930
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Helppppppppppp Bobby hill I need help
Answers
Answer:
a and d
Step-by-step explanation:
trust
Vicky's retirement party will cost $114 if she invites 3 guests. What is the maximum number
of guests there can be if Vicky can afford to spend a total of $570 on her retirement party?
Assume the relationship is directly proportional.
Answers
The required number of guests Vicky can afford is given as 15 guests.
Given that,
Vicky's retirement party will cost $114 if she invites 3 guests. What is the maximum number of guests, there can be if Vicky can afford to spend a total of $570 on her retirement party is to be determined.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let the number of the guest be y and the amount spent be x,
According to the question,
y = kx,
Put y = 3 and x = 114
3 = k [114]
k = 3/114
now,
y = 3/114x
Put x = 570
y = 3/114 [570]
y = 15
Thus, the required number of guests Vicky can afford is given as 15 guests.
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Which set is of whole numbers but not natural numbers?
{ -2, - 3, - 4}
{2, T, V3}
(111)
124 81
{ IV-4, 1-5}
{0, 1, 2-1BY
Answers
Answer:
I think its the last one containing zero
What is -(9) fourth power
Answers
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
A machine cuts lengths of rope from a 50-m roll.
The lengths are 2.5 m long, to 1 decimal place.
What areshe minimum and maximum numbers of pieces of rope that can be
cut
Answers
Answer:
the other one or both the best of the individual and the same thing I noticed a lot to do the job in my life in my life
Which has a greater effect on the volume-changing the radius by a given amount or changing the height by the same amount? Why?
Answers
Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.
find the volume of this 12cm sphere. use 3 for pie
Answers
Answer:
I think I is 904.78 cubic centimeters
Step-by-step explanation:
Sorry if I'm wrong
Hope this helps!
What is the angle of elevation to the top of a 45 foot building from 85 feet away?
Round your answer to the nearest tenth.
•31.9°
•58.1°
•27.9°
•62.1°
Answers
Answer:
58.1
Step-by-step explanation:
What does n equal? n^2=100
Answers
Answer:
10
Step-by-step explanation:
100 = 10 x 10 = 10^2
n^2 = 10^2
n = 10
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Determine whether the given binomial is a factor of the polynomial following it. If it is a factor, then factor the polynomial completely.
x+2, x³+4x²-4x-16
Answers
Answer:
x+2 is a factory = (x +4)(x +2)(x -2)Step-by-step explanation:
You want the complete factorization of x³ +4x² -4x -16.
Factor by pairsPairing terms of the given polynomial, we have ...
(x³ +4x²) -(4x +16)
Factoring each pair gives ...
x²(x +4) -4(x +4)
= (x² -4)(x +4)
Difference of squaresThe factorization of x² -4 is found using the form for factoring the difference of squares:
a² -b² = (a +b)(a -b)
x² -4 = (x +2)(x -2)
Note that x+2 is a factor here.
Complete factorizationThe complete factorization of the given polynomial is ...
x³ +4x² -4x -16 = (x +4)(x +2)(x -2)
This is confirmed by the graph, which shows zeros at x = -4, -2, 2.
The figure below displays the SAT scores of three students, but each chart looks different. The two charts have the same data, but the difference seems larger for the graph on the left. Why?
Answers
Answering the presented question, we may conclude that This greater expressions scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
The difference in look between the two charts is due to the choice of the scales on the x and y-axes. In the left chart, the y-axis starts offevolved at 800 and has a range of only 200 points, whilst the x-axis starts offevolved at 1300 and has a vary of 200 points. This compressed scale makes the variations between the ratings of the three students appear larger than they absolutely are.
On the other hand, the proper chart has a y-axis that starts at zero and has a vary of 800 points, whilst the x-axis begins at 1200 and has a range of 800 points. This greater expanded scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.
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Ashley invested $59,000 in an account paying an interest rate of 3 1/8% compounded daily. Fwam invested $59,000 in an account paying an interest rate of 2 3/4% compounded annually. . After 15 years, how much more money would Ashley have in her account than Fwam, to the nearest dollar?
Answers
The difference between the balances of Ashley and Fwam after 15 years is given as follows:
$5,650. (Ashley will have $5,650 more than Fwam).
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.Hence Ashley's amount after 15 years is given as follows:
A(15) = 59000 x (1 + 0.03125/365)^(365 x 15)
A(15) = $94,280.
Fwam's amount is given as follows:
F(15) = 59000 x (1 + 0.0275)^(15)
F(15) = $88,630.
Then the difference is of:
94280 - 88630 = $5,650.
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Answer:5650
Step-by-step explanation:
94279.8393-88629.7389=5650.1009
Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins,
Alan uses 5 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 3 cup of oil and 1 egg. Alan has 4 cups of
oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan
wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and
y represent the number of trays of bran muffins Alan bakes.
What are the constraints for the problem?
Answers
Answer:
1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Step-by-step explanation:
none
Answer:
A on edge :)
Step-by-step explanation:
edge2021
The area of a rectangle is 99 m2, and the length of the rectangle is 7 m more than double the width. Find the dimensions of the rectangle.
Answers
On the Left side is just an example.
On the paper is my answer to your question with explanation.
Hope this will help:)
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 13.6 inches, and standard deviation of 2.2 inches.
If 38 items are chosen at random, what is the probability that their mean length is greater than 13.7 inches?
(Round answer to four decimal places)
Answers
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
What is probability?
Probability is simply the possibility that something will happen. When one doesn't know how something will turn out, one can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
A Z-score is a metric that quantifies how closely a value relates to the mean of the set of values. Standard deviations from the mean are used to measure Z-score.
Given that mean of 13.6 inches, and standard deviation of 2.2 inches.
mean, m=13.6
standard deviation, s=2.2
mx=m=13.7
Sample size,n=38
sx=s/√n=2.2/√38=0.356
P(x<13.6)=P(x-m/s < 13.7-13.6/0.356)
P(Z< -0.2809)
=0.399
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
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In 2006 the median yearly family income was about 48,200 per year suppose the average annual rate of change since then is $1240 per year. Write and graph the equality for the annual family incomes y that are less than the median x years after 2006
Answers
The inequality for the annual family income is:
y < 1240x + 48,200
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Let x=0 be the year 2006
The inequality is:
y < 1240x + 48,200
Graphing:
Consider equal sign in place of < symbol
Take random values for x, find corresponding y values and plot them
Mark it as dashed line as shown in the graph because of the inequality symbol "< "
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5a. find the value of a.
Answers
The logarithmic function f(x) = a·log₃(x - 4), passing through the points (13, 7), has the values;
5 a. The value of a is 3.5
b. Please find attached the graph of the function, f(x) = 3.5·log₃(x - 4), created with MS Excel
What is a logarithmic function?A logarithmic function is a function that contain and involves logarithm operation and it is the inverse of an exponential function
The function is f(x) = a·log₃(x - 4),
x > 4 and a > 0
The coordinates of a point on the graph of the function, f is A(13, 7)
5 a. The value of a can be found by plugging in the value of (13, 7) = (x, f(x)), as follows
f(13) = 7 = a·log₃(13 - 4) = a·log₃9 = a·log₃3²
7 = a·log₃3²
7 = 2·a·log₃3 = 2·a·1 = 2·a
2·a = 7
a = 7 ÷ 2 = 3.5
a = 3.5
5 b. The coordinates of the x-intercept of the graph = (5, 0)
The equation of the function is;
f(x) = 3.5·log₃(x - 4)
A third point on the graph is given when f(x) = 14 as follows;
f(x) = 14 = 3.5·log₃(x - 4)
log₃(x - 4) = 14 ÷ 3.5 = 4
3⁴ = x - 4
x = 3⁴ + 4 = 85
Which gives the point, (85, 14)
Similarly, we have the point (31, 10.5), (7, 3.5)
Please find attached the graph of f(x) created with MS Excel
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what is this please help
Answers
Answer:
the 2nd option is correct.
Step-by-step explanation:
Hope you have a great day!
If it helped mark me as brainliest!
Answer:
It is B
Step-by-step explanation:
All it is asking is what times itself equals 64, 8*8 equals 64 and -8*-8 equals 64 so therefore it is line B, if you want to learn this better by yourself just look at the numbers and ignore the letters, it makes it less scary. Please mark brainlest.
Which function is the inverse of f(x) = 2/3 x³ + 1?
Answers
The inverse of f(x) = 2/3 x³ + 1 is f^-1(x) = (3/2)(x-1)^(1/3).
Which function is the inverse of f(x) = 2/3 x³ + 1?The inverse of a function f(x) is a function that reverses the operation of the original function.The inverse of a function f(x) = 2/3 x³ + 1 can be found by switching the x and y values and then solving for x.In other words, we can set y equal to the original equation and solve for x.
Let y = 2/3 x³ + 1
We can then subtract 1 from both sides to get y – 1 = 2/3 x³
We can then divide both sides by 2/3 to get (y – 1) • (3/2) = x³
Finally, we can take the cube root of both sides to get the inverse function:
x = (y – 1)¹/₃ • (3/2)¹/₃
Therefore, the inverse of f(x) = 2/3 x³ + 1 is x = (y – 1)¹/₃ • (3/2)¹/₃.
The inverse of f(x) = 2/3 x³ + 1 is denoted as f^-1(x). To find the inverse, we need to solve for x in terms of y, since the inverse of a function is a reflection of the function across the line y = x. To do this, we need to rearrange the equation, so that x is on the left side of the equation. We can start by subtracting 1 from both sides.This yields 2/3x³ = y - 1. We can then divide both sides by 2/3 to get x³ = (y - 1)/2/3. To solve for x, take the cube root of both sides. This yields x = cube root[(y - 1)/2/3]. Therefore, the inverse of f(x) = 2/3 x³ + 1 is f^-1(x) = cube root[(y - 1)/2/3].To learn more about the inverse of a function refer to:
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What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?
Answers
The return on equity for the firm is 18.75%.
Return on equityReturn on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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Need help ASAP :)
Question on the picture:)
Answers
Answer:
a. No
b. Yes
Step-by-step explanation:
a.
x - 4 = 12
x - 4 + 4 = 12 + 4
x = 16
16 ≠ 8
Therefore, the following value given for problem a is not a solution to the given equation.
b. (3 + x)/4 = 3
(3 + x)/4 * 4 = 3 * 4
3 + x = 12
3 + x - 3 = 12 - 3
x = 9
9 = 9
Therefore, the following value given for problem b is a solution to the given equation.
10 times the sum of certain numbers x and y
Answers
This can be represented by \(\boxed{10(x+y)}\)
Mr. and Mrs. Rodriguez hope to send their son to college in thirteen years. How much money should they invest now at an interest rate of 9% per year, compounded continuously, in order to be able to contribute $8000 to his education?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
Answer:
$2,482.94
Step-by-step explanation:
\(p {e}^{.09 \times 13} = 8000\)
\(p = \frac{8000}{ {e}^{.09 \times 13} } = 2482.94\)
Answer both questions
Answers
Answer:
First Question - 74.25
Second Question - 23.92
Hope this helps you out