Simplify: (8 2/3)^4
Answers
Answer:
8^8/3
Step-by-step
Related Questions
What is the volume of a cube with an edge length of 2 2/3 yards
Answers
Answer: 512/27 cubic yards.
Step-by-step explanation:
To find the volume of a cube, we need to cube the length of one of its edges.
The edge length of the cube is 2 2/3 yards or 8/3 yards.
Volume of the cube = (edge length)^3 = (8/3)^3 = 512/27 cubic yards.
Therefore, the volume of the cube with an edge length of 2 2/3 yards is 512/27 cubic yards.
Write an expression for 357 decreased by q.
Answers
Answer:
357 - q
Step-by-step explanation:
Decreased basically means minus.
a proportional relationship is represented on a graph with a line that has a slope of 40 what is the unit rate
Answers
Answer:40
Step-by-step explanation:
Morgan painted 3 faces in 12 minutes at the Spring Festival. At this rate, how many faces can she paint
in 40 minutes?
A10
B15
C8
D12
Answers
Answer:
A
Step-by-step explanation:
The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the
kitchen, playroom, and dining room are in the ratio 4: 3:2. The combined area of these
three rooms is 189 square feet. What is the area of each room?
Answers
Answer:
kitchen:84 square feet
playroom: 63 square feet
dining room:42 square feet
Step-by-step explanation
total ratio =9
therefore 1 portion=189/9
=21
therefore area of;
kitchen;21*4= 84 square feet
play room;21*3 = 63 square feet
dining room;21*2 = 42 square feet
The areas of each room are 84, 63, and 42 square feet.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the ratio of the three areas is 4 : 3 : 2.
The sum of the ratios is:
4 + 3 + 2
= 9
Since the total area is 189, it follows:
9 = 189
1 = 21
Therefore, the value of 1 is 21.
Since the value of 1 is 21, the value of 4 is:
4 ×21 = 84
Similarly, the value of 3 and 2 are:
3 ×21 = 63
2 × 21 = 42
Hence, the areas of each room are 84, 63, and 42 square feet.
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True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
Answers
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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Solve the problem of the question here 3(8+2)=
Answers
Answer:
30
Step-by-step explanation:
3(8+2) = 3(10)
= 30
Evaluate 8 + 2 first as it is surrounded by the brackets.
Remember the BODMAS rule, brackets comes before multiplication.
Answer: 30
Step-by-step explanation: You have to do Pemdas so start by adding 8+2 which equals 10. Multiply 10 x 3 which gives you your answer of 30.
Find the area of this composite figure:
A=189.25in2
True
False
Answers
Area of the composite figure is 189.25 in². Therefore, the given area A of the figure is Ture.
First, let us find the area of the rectangle.
Area = Length × Width
= 15 in × 10 in
= 150 in²
Then let us find the area of the semicircle.
Area = \(\frac{1}{2}\) × π r²
= \(\frac{1}{2}\) × 3.14 × 5 × 5
= 0.5 × 3.14 × 25
= 1.57 × 25
= 39.25 in²
Now let us find the total area of the composite figure.
Total area = Area of the rectangle + Area of the semi-circle.
= 150 in² + 39.25 in²
= 189.25 in²
Area of the composite figure is 189.25 in². Therefore, the given area A of the figure is Ture.
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Please get help with us right I have tried many times but still cannot get the correct answer
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
The points in the original figure are: (-5, 6) , ( -2,6) , ( -3, 4) and (-2, 4)
The points in the final figure ( that is after the transformation) are:
(-6, -5) , ( -6, -2) , ( -4, -3) , ( -4, -2)
For the given point;
The point in the original figure is: ( -5, 6)
The point in the final figure ( that is after the transformation)
is ( -6, -5)
He buys a jewel for $180 then sells it for $216 find his percentage profit
Answers
The difference between the selling price and the cost price is the profit he earned.
Profit = Selling Price - Cost Price
Profit = $216 - $180
Profit = $36
To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :
Percentage Profit = (Profit : Cost Price) * 100%
Percentage Profit = ($36 : $180) * 100%
Percentage Profit = 0.2 * 100%
Percentage Profit = 20%
Therefore, his percentage profit is 20%.
What is the intermediate step in the form (x + a)2 = b as a result of completing thesquare for the following equation?6x2 +962 - 13 = -132.Submit Answerattempt 1 out of 2
Answers
First step is to separate the terms with variables from the constant terms.
Add 13 to both sides of the equation :
\(\begin{gathered} 6x^2+96x-13=-13 \\ 6x^2+96x-\cancel{13}+\cancel{13}=-13+13 \\ 6x^2+96x=0 \end{gathered}\)Divide both sides by 6 :
\(\begin{gathered} 6x^2+96x=0 \\ x^2+16x=0 \end{gathered}\)Next step, completing the square by adding this term to both sides of the equation :
\((\frac{b}{2a})^2\)From the equation,
a = 1
b = 16
So it follows that :
\((\frac{b}{2a})^2=(\frac{16}{2\times1})^2=(8)^2\)Adding this to both sides of the equation :
\(\begin{gathered} x^2+16x=0 \\ x^2+16x+8^2=8^2 \end{gathered}\)And you will get a perfect square trinomial on the left side of the equation in the form :
\(x^2+bx+c^2\)It can be factored as :
\(x^2+bx+c^2=(x+c)^2\)So the equation will be :
\(\begin{gathered} x^2+16x+8^2=8^2 \\ (x+8)^2=8^2 \\ (x+8)^2=64 \end{gathered}\)The answer is :
\((x+8)^2=64\)A car rental company offers two plans for renting a car.
Plan A: 35 dollars per day and 10 cents per mile
Plan B: 55 dollars per day with free unlimited mileage
How many miles would you need to drive in one day for plan B to save you money?
Answers
Answer:
Less than 200 miles, A is cheaper
At 200 miles, they are the same
Over 200 miles, B is less expensive
Step-by-step explanation:
A card is selected at random from an ordinary deck of 52 cards. What is the probability that it is either an ace or a spade
Answers
Answer: 4/13
Step-by-step explanation:
Number of cards in a deck = 52
Number of spades = 13
Number of aces = 4
Number of ace of spade = 1
Probability of either a spade or an ace :
P(spade or ace) = P(spade U ace)
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
Probability = required outcome / Total possible outcomes
P(spade) = 13 / 52
P(ace) = 4 / 52
P(spade n ace) = 1 / 52
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
= 13/52 + 4/52 - 1/52
= 16 / 52 = 4 /13
6. Find CA*
Please help it’s so confusing
Answers
Answer:
The answer is 19.
Step-by-step explanation:
3x+1+12=9x+1
3x+13=9x+1
13=6x+1
12=6x
x=2
3(2)+1+12=19
Answer:
CA = 19
Step-by-step explanation:
3x + 1 + 12 = 9x + 1
combine like terms
3x + 13 = 9x + 1
Subtraction property of equality
3x - 3x + 13 = 9x - 3x + 1
13 = 6x + 1
Subtraction property of equality
13 - 1 = 6x + 1 - 1
12 = 6x
Division property of equality
12/6 = 6x/6
2 = x
Symmetric property of equality
x = 2
Substitute x for 2
9(2) + 1 = 19
I’ll give BRAINLIEST if correct as well as 5star ratings
Given the polynomial 9x^2y^6 - 25x^4y^8 rewrite as a product of polynomials
Answers
Answer:
The given polynomial already has two terms that can be factored out:
9x^2y^6 - 25x^4y^8 = (3xy^3)^2 - (5x^2y^4)^2
Now we have a difference of squares:
= (3xy^3 - 5x^2y^4)(3xy^3 + 5x^2y^4)
Therefore, 9x^2y^6 - 25x^4y^8 can be rewritten as the product of (3xy^3 - 5x^2y^4) and (3xy^3 + 5x^2y^4).
Answer: The answer would be (3xy^3-5x^2y^4)(3xy^3+5^2y^4)
(C)
Step-by-step explanation: Cant explain how to but for a quick answer it is C, and you can check the image for proof.
The probability that a certain state will be hit by a major tomado (category F4 or F5) in any single year is 19. Complete parts (a) through (d) below.
ED
a. What is the probability that the state will be hit by a major tornado two years in a row?
0.00277 (Simplify your answer. Round to five decimal places as needed.)
b. What is the probability that the state will be hit by a major tornado in three consecutive years?
0.000146 (Simplify your answer. Round to five decimal places as needed.)
c. What is the probability that the state will not be hit by a major tornado in the next ten years?
(Round to three decimal places as needed)
d. What is the probability that the state will be hit by a major tornado at least once in the next ten years?
(Round to three decimal places as needed.)
Answers
Answer: The probability that the state will be hit by a major tornado two years in a row is 0.00309.
Step-by-step explanation:
Shawn wants to paint all the surfaces of the table shown below.
A. the volume of 3 rectangular prisms
B. the surface area of 1 triangle and 4 cylinders
C. the volume of 1 rectangular prism and 3 cylinders
D. the surface area of 2 triangles and 1 rectangular prism
What's the answer? How do I solve for this?!
Answers
the answer is D
The figure can be divided into a rectangle and 2 triangles
Sara has a basket of fruit that contains 10 lemons, 1 pear, 6 oranges, and 3 apples. Sara will randomly pick a piece of fruit. What is probability of Sara NOT picking an orange?
Answers
Answer:
7/10 or 0.7
The probability of Sara NOT picking an orange is 7/10
Step-by-step explanation:
Given that the basket of fruit contains;
10 lemons,
1 pear,
6 oranges, and
3 apples
Total number of fruits N = 20
The probability of not picking orange P(O');
P(O') = 1 - P(O) ........1
P(O) = probability of picking orange
P(O) = number of orange/total number of fruits
P(O) = 6/20
Applying equation 1;
P(O') = 1 - 6/20
P(O') = 14/20 = 7/10
P(O') = 7/10 or 0.7
At a local college, 82 of the male students are smokers and 328 are non-smokers. Of the female students, 148 are smokers and 252 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Answers
P(male smoker) = 82 / (82 + 328) = 0.20
Similarly, the probability that a female student is a smoker is:
P(female smoker) = 148 / (148 + 252) = 0.37
To calculate the probability that both are smokers, we need to multiply these probabilities:
P(both smokers) = P(male smoker) x P(female smoker)
P(both smokers) = 0.20 x 0.37
P(both smokers) = 0.074
Therefore, the probability that both a male and a female student selected at random from the college are smokers is 0.074, or approximately 7.4%.
A school has 320 girls and 250 boys
The probability that a girl is left handed is 0.2
The probability that a boy is left handed is 0.1
Estimate the umber of left handed students in the school.
Answers
250/100 • 10 = 25
64+25= 89 <33
There are 12 adults, 24 girls and 6 boys in a room.
Work out the ratio of adults to girls to boys.
Write the answer in its simplest form.
Answers
Answer:
12:24:6- divide by 3
4:8:2 - divide by 2
2:4:1- simplest form
8. Look at the pattern.
What is the next figure in the pattern?
Answers
Answer:
The first shape
Step-by-step explanation:
as you can tell the side numbers are increasing for example...
triangle=3 sides
square=4 sides
pentagon=5 sides
so on and so forth
have a wonderful day!
Answer:
the Hexagon
Step-by-step explanation:
The pattern is adding one side to each shape. So after 5, it would be 6. And the shape that has six sides is the hexogon.
Okay so I’m doing this assignment and got stuck ont his question can someone help me out please
Answers
ANSWER
\(B.\text{ }\frac{256}{3}\)EXPLANATION
We want to find the value of the function for F(4):
\(F(x)=\frac{1}{3}*4^x\)To do this, substitute the value of x for 4 in the function and simplify:
\(\begin{gathered} F(4)=\frac{1}{3}*4^4 \\ F(4)=\frac{1}{3}*256 \\ F(4)=\frac{256}{3} \end{gathered}\)Therefore, the answer is option B.
4(2x+3)=x(3+5)+12
Help
Answers
Answer:
Step-by-step explanation:
8x + 12 = 3x + 5x + 12
8x + 12 = 8x + 12
Bringing like terms on one side
8x - 8x = 12 - 12
x = 0
Answer:
x = 1
Step-by-step explanation:
Ama deposited her babysitting money into her savings account, which already had a
balance of $210. Her new balance is $295. Which equation can be solved to find how
much she deposited?
Answers
Answer:
295= 210+X
Step-by-step explanation:
If she has a total of 295 dollars deposited and she had 210 before then you could just subtract 295-210 to find how much she deposited. The answer would be that she deposited 85 dollars in her savings account and the equation is listed above.
convert 7/8 to a decimal Then determine if the decimal is terminating or repeating
Answers
Answer:
0.875 = 7/8 and it is terminating
Step-by-step explanation:
1. What’s the percentile of someone who earns $78 thousand dollars ?
2. How did you find the percentile ?
3. What does this value mean in the context of the problem ?
Answers
To find the percentile, we need to calculate what percentage of the data falls below the $78 thousand dollars wage.
What is percentile?
A percentile is a value that separates a data set into 100 equal parts.It represents the value below which a certain percentage of observations in a data set falls.For example, if a person's wage is in the 80th percentile, it means that 80% of the people in the data set earn less than that person, and 20% earn more.Percentiles can be used to summarize and describe the distribution of a set of data.They are often used in statistics and data analysis to compare values and measure the spread of data.
To find the percentile, we sort the data in ascending order and find the percentage of the data that falls below $78 thousand dollars. Here's one way to do this:
69 58 43 43 43 51 57 57 62 68 69 75 76 78 78 80 91 97 102 124 130 135 144 157 185 217
Out of 28 observations, 22 of them are below $78 thousand dollars. So, the percentile for someone who earns $78 thousand dollars is 22/28 * 100 = 78.5714.
In this context, the value of the percentile represents the percentage of the population of full-time employed people who hold at least a Bachelor's degree and earn less than $78 thousand dollars. So, someone who earns $78 thousand dollars is in the 78.5714th percentile of this population.
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what is the value of x? two angles
8x-8, 7x+8
Answers
Answer:
Step-by-step explanation:
8x - 8 = 7x + 8
x - 8 = 8
x = 16
8(16) - 8= 128 - 8 = 120
7(8) + 8 = 56+8 = 64
select the inequality that corresponds to the given graph
Answers
FCPS Bookmarks
Launch realize. 8-2: Find Volume of Cylinders (LMS graded)
8.2.PS-13
The cylinder shown has a volume of 824 cubic inches.
a. What is the radius of the cylinder? Use 3.14 for .
b. If the height of the cylinder is changed, but the volume
stays the same, then how will the radius change? Explain.
a. The radius of the cylinder is about 8.2 in³.
(Type an integer or decimal rounded to the nearest tenth as needed.)
10.7 in.
Question Help
◇
Answers
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:
824 = πr²h
Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.
b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.
Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.