The radius is the center of circle to its edge or half of a diameter so half of 4/5 is 0.4 since 0.8 / 2 = 0.4.
To find the volume we need to do the equation π r² h.
So, π x 0.4^2 x 10 = 5.02654825.
Round 5.02654825 to the nearest hundredth and it is 5.03.
Volume is 5.03.
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Six times the difference of a number and two us forty - two less than the number. Find the number.
Six times the difference of a number and two us forty - two less than the number is 6.
What are the arithmetic calculations?
Arithmetic is the branch of mathematics that deals with basic operations such as addition, subtraction, multiplication, and division, and their properties and applications. Arithmetic calculations are mathematical operations that involve one or more numbers and result in a numerical answer. These operations can be performed using mental arithmetic, pencil, and paper, or with the help of a calculator.
Let the number be x. We can write the given expression as:
6(x - 2) = x - 42
Expanding the left side:
6x - 12 = x - 42
Solving for x:
5x = 30
x = 6
Therefore, the number is 6.
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If posts are spaced 5 feet apart, how many posts are needed for 40 feet of straight-line fence?
Answer:
the answer is 8 just divide
Answer:
8 is the answer just divide
Which point is a solution of the system of linear equations? x − 3y = −2 y = −3x + 4 (1, 1) (1, −1) (−1, 1) (−1, −1)
Answer:
working on a answer one second
Step-by-step explanation:
Please help me on the problems below and show work
The correct form of the equation can be written as y = 35/6 x + 2
How do we rewrite the equation?
We have to know that the equation have been given to us in the point that we have as; y - 5/7 = 5x - 6/6. We would then have to multiply both sides with the LCM of the equations and then we have that;
42(y - 5/7) = 42(5x - 6)/6
6(y - 5) = 7(5x - 6)
6y - 30 = 35x - 42
Collecting the like terms we have that;
6y - 35 x = -42 + 30
6y - 35x = -12
6y = 35x + 12
y = 35/6 x + 12/6
y = 35/6 x + 2
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Algebra homework. Help!
(the tail points right on the number line), the mean is higher than the median.
What is median?
The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simples to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.
Every student learns one of the fundamental principles of statistics, which is that in a skewed distribution, the mean is closer to the tail, in around the second week of introductory statistics.
Every student learns one of the fundamental principles of statistics, which is that in a skewed distribution, the mean is closer to the tail, in around the second week of introduction to statistics. Therefore, the mean is greater than the median in a right-skewed distribution (where the tail points directly to the right on the number line).
Hence, (the tail points right on the number line), the mean is higher than the median.
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What is the y-value of the absolute minimum of the graph?
Step-by-step explanation:
we only have the graph.
it looks like the y-value from the lowest point (= the absolute minimum) is -16.
3 friends share
5/6 of a pizza
What fraction of a pizza does each person get?
Answer:
5/18
Step-by-step explanation:
We assume they share equally.
5/6 ÷ 3 = 5/6 × 1/3 = 5/18
You can afford a $250 per month car payment. You've found a 3 year loan at 7% interest. How big of a loan can you afford?
Answer:
630
Step-by-step explanation:
36x250 = 9000 ÷ 7 =630
-x² + 1
The expression represents a
The constant term is
coefficient is
polynomial with
the leading term is
terms.
, and the leading
The expression represents a quadratic polynomial.
The constant term is 1.
The leading term is -x².
The coefficient of the leading term is -1.
What is a polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
Given expression is -x² + 1
The variable of the expression is x.
The constant term is 1.
Leading term: The highest power of the variable that occurs in the polynomial is its degree. The term with the highest degree—i.e., the term with the highest power of the variable—is the leading term. The leading coefficient is the leading term's coefficient.
The leading term of the expression is -x² .
The coefficient of -x² is -1.
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HELP!!! Compare 5.6 and 5
Answer:
5.6 is greater than 5.
Answer:
5.6>5
Step-by-step explanation:
5.6 is more than 5 :)
solve the system of equations (how many solutions are there
1. x + y = 3
x - y = -3
2. 5x + y = 7
10x + 2y = 16
1: Unique solution: the solution: (0, 3)
2: The system have no solution.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two system of equations,
1. x + y = 3
x - y = -3
Adding both the equations,
2x = 0,
x = 0
And y = 3.
The solution: (0, 3)
And 2. 5x + y = 7
10x + 2y = 16
The system have no solution.
Because lines are parallel.
Therefore, all the required solutions are given above.
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The circle graph represents the jobs at a digital animation company with 1,540
The number of artists that are interns is solved to get 77
How to find the number of artists that are internsFrom the problem, showing circle graph, it can be deduced that the interns occupy 5 percent of the total number
The total number is 1540
5% of 1540 is solved by
= 5/100 * 1540
= 0.05 * 1540
= 77
The number of interns is 77
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1. Fatima drinks her 12 ounce milkshake at a rate of an ounce per second. Bailey starts with 20 ounce milkshake and drinks at the rate of an ounce per second. Is there a time when they have the same quantity of milkshake? a) Write an equation for Fatima's drinking (y = mx + b):. b) Write an equation for Bailey's drinking (y = mx + b): c) Graph the equations on the grid below. $0.0
Situations with constant rates are represented using linear equations.
The parameters that have been provided are:1 third of an ounce of milkshake every second, 20 ounces at first.
Find linear equation?A linear equation is denoted by the following:
Where:
The rate is shown by m.
The starting value is represented by b.
The equation that summarizes Lin's circumstance is as follows:
The graph is shown in the attachment.
Since the other equation is missing, the solution cannot be found.
Situations with constant rates are represented using linear equations.
The parameters that have been provided are:
1 third of an ounce of milkshake every second
20 ounces at first.
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At what rate of interest will Rs 2500 amo- unt 10 Rs.3200 in. 7yrs?
Answer:
The rate of interest required to make Rs. 2500 amount to Rs. 3200 in 7 years is 8.5%. This can be determined by using the information from pa01000192.schoolwires.net, which states that the formula for finding the rate of interest is: Rate of Interest = (Future Value - Present Value) / (Present Value * Time). Applying this formula to the given values gives a rate of interest of 8.5%.
Step-by-step explanation:
Which expression is equivalent to − 3 +t-6
The equivalent expression is t - 9
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
− 3 +t-6
Collect the like terms
So, we have the following representation
t - 3 - 6
Evaluate the like terms
This gives
t - 9
Hence, the expression is t - 9
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Initial Knowledge Check
Question 3
Christine publishes a blog on bird-watching, with field notes and pictures of her trips around the country. Recently she decided to conduct a poll among 600 of
her subscribers, and found that 71% of those polled have liked at least one of her blogs, they have posted an average of 1.8 comments per blog, and 128 have
liked all of her blogs. Later she found out that her website already has this information for all of her subscribers. According to her website, she has a total of
12,683 subscribers, of whom 68% have liked at least one of her blogs, they have posted an average of 1.5 comments per blog, and 3781 have liked all of her
blogs.
(a) For Christine's blog poll, identify the population and the sample.
Population:
(Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for Christine's blog poll.
Number
The average of 1.8 comments per blog that the 600 subscribers polled have posted
The 3781 subscribers among all the subscribers to Christine's blog who like all of her blogs
The 68% of all the subscribers to Christine's blog who like at least one blog?
a) The sample and the population are given as follows:
Sample: 600 subscribers.Population: Total of 12683 subscribers.b) The numbers are classified as follows:
The average of 1.8 comments per blog that the 600 subscribers polled have posted: statistic.The 3781 subscribers among all the subscribers to Christine's blog who like all of her blogs: parameter.The 68% of all the subscribers to Christine's blog who like at least one blog: parameter.What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.
Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.
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Divide. (40c3+20c2−36c)÷(4c)
Enter your answer in standard form in the box.
The value of the given number after division is 10c² + 5c - 9.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given to divide (40c³ +20c² −36c) ÷ (4c)
dividing each term separately,
40c³/4c + 20c²/4c - 36c/4c
dividing constant by constant and variables by variable,
10c² + 5c - 9
Hence the division is 10c² + 5c - 9.
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Find 4th, 9th and 10th term for each of 3, 6, 12, 24. following geometric progress issions
A series of terms is referred to as a geometric progression if each next term is produced by multiplying each previous term by a fixed amount. (GP), whereas the common ratio is the name given to the constant value. In the case of the GP 2, 4, 8, 16, 32, 64, for instance, the common ratio is 2.
What is the GP equation?The phrase that comes after the previous one in the GP, having a common ratio of r = l/[r(n-1)]. S=a/(1 - r), where 0 r 1, is the sum of infinite, or the sum of a GP with infinite terms.
What does GP number mean?A number progression is said to as a geometric progression if any two consecutive terms is always same.
Hence we have a=3,n=9,r=2
Now [tex]t=ar^n^-^![/tex]
=[tex]3*2^9^-^1[/tex]
=[tex]3*2^8[/tex]
=3×256
=768
∴ The ninth term of the G.P. is 768.
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R if R={x|||xis an odd, negative integer andx>−16} .
The number of subsets for R { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 } is given by the equation A = 255 subsets
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the relation set be represented as R
Now , the set R = { x|||xis an odd, negative integer and x>−16 }
The number of elements in the set R is given by
R = { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 }
So , the number of elements n = 8 elements
The number of subsets of any arbitrary set is equal to 2ⁿ
This means that the number of proper subsets (which is the number of subset minus the set itself, for finite subsets) is equal to 2ⁿ-1
So , the number of subsets for R = 2⁸ - 1 = 255 subsets
Hence , the solution set is { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 }
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Explain what is wrong with the following argument - be specific.
lim x→2 x^2 +3x-10/x^2-x-2 = (x-2)(x+5)/(x-2)(x+1) = x+5/x+1 = 2+5/2+1 = 7/3
Step-by-step explanation:
brackets are missing.
it should look like
lim x→2 (x² + 3x - 10)/(x² - x - 2) =
= (x - 2)(x + 5)/((x - 2)(x + 1)) = (x + 5)/(x + 1) =
= (2 + 5)/(2 + 1) = 7/3
content-wise there is nothing wrong with the argument.
left and right limits are the same.
so, the result is correct.
Yo = 10 mg; The half-life is 100 days.
Answer:
After 100 days, the amount of the substance will decrease to half its original value, so Yo/2 = 5 mg. The half-life of a substance is the time it takes for half of it to decay or disappear. So, every 100 days, the amount of the substance will be halved until there is none left.
Question is not clear.
Stephen and Natasha have played 27 tennis matches. Stephen has won 11 times. Natasha won the rest. a) Estimate the probability that Stephen wins. b) Estimate the probability that Natasha wins.
Step-by-step explanation:
a) The probability that Stephen wins can be estimated by dividing the number of times he wins by the total number of matches:
P(Stephen wins) = 11/27 = 0.407 (or 40.7%)
b) The probability that Natasha wins can be estimated by subtracting the probability of Stephen winning from 1:
P(Natasha wins) = 1 - P(Stephen wins) = 1 - 0.407 = 0.593 (or 59.3%)
please help me i do not quite understand
Answer:
Represent Wilbur with W and Orville with O
The equation connecting both flights is
W - 120 = O
W = 364 feet
364 - 120 = 246
O = 246
Step-by-step explanation:
wish you best of luck
Aiden paid $180 in interest for a loan of $2000. what would the loan have been if he had paid $270 in interest instead
Answer: 1730
Step-by-step explanation:
subtract 270 from 2000
Which expressions are equivalent to the one below? Check all that apply.
21x
3*
A.
B. 3x
C. 7* 3*
3*
D. 7
☐ E. 7*
F. (21-3)*
Answer:
[tex]A.\;\; \left(\dfrac{21}{3}\right)^x\\\\\\C. \;\;\dfrac{7^{x}\cdot3^{x}}{3^{x}}\\\\E. \;\;7^x[/tex]
Step-by-step explanation:
[tex]\dfrac{21^x}{3^x} = \left(\dfrac{21}{3}\right)^x[/tex][tex]21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} = \dfrac{7^x \cdot 3^x}{3^x}[/tex]
So choice A is correct
[tex]------------------------[/tex]
[tex]21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} \\\\\\= \dfrac{(7\cdot3)^{x}}{3^{x}}=\dfrac{7^{x}\cdot3^{x}}{3^{x}}[/tex]
So Choice C is correct
[tex]------------------[/tex]
[tex]\text{SInce $\dfrac{21}{3} = 7$}\\\\\text{ $\left(\dfrac{21}{3} \right)^x = (7)^x = 7^x$}[/tex]
Therefore choice E is correct
All the other three are incorrect
Trei correctly spelled 60% of the words on her last spelling test! how many words did she spell correctly for each word that she spelled wrong?
Let's call the number of words Trei spelled correctly "x". Then, the number of words she spelled incorrectly is 100 - 60 = 40 words.
Therefore, the ratio of correctly spelled words to incorrectly spelled words is x to 40.
To find the number of words she spelled correctly for each word she spelled wrong, we can simplify the ratio by dividing both values by the greatest common factor:
x / 40 = x / (2 * 20) = x / 2 * 20 / 2 = x / 20.
So for every word Trei spelled incorrectly, she spelled 20 / 1 = 20 words correctly.
52) If a computer prints 108.0 lines in 4.00 seconds, how many lines can it print per minute?
Answer:
1620 lines / minute.
Step-by-step explanation:
Proportions:
1 minute = 60 seconds
Then:
108 lines ⇒ 4 seconds
A lines ⇒ 60 seconds
A = 108 lines * 60 seconds / 4 seconds
A = 1620 Lines
Jan made fruit cups. She had 15 apple slices, 20 orange slices and 60 grapes. She put the same amount of each type of fruit into each cup. What is the greatest number of fruit cups she could have made?
Answer:
5
Step-by-step explanation:
The greatest common factor between all 3 fruits is 5. There would be 3 apple slices, 4 oranges, and 12 grapes per cup.
Where does runoff end up?
A
ponds
B
streams
C
rivers
D
all of the above
Answer:
D all of the above is the answer
Answer:
D) All of the above
Runoff can end up in ponds, streams, and rivers.
Step-by-step explanation:
Hope it helps! =D
Drag and drop numbers into the boxes to complete the expanded form of 706.039.
The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
What is expanded form?We break up a number according to its place value and expand it to show the value of each digit.
Given that to write expanded form of 706.039
Expanded Factors Form:
706.039 = 7 × 100 + 0 × 10 + 6 × 1 + 0 × 0.1 + 3 × 0.01 + 9 × 0.001
Expanded Notation Form:
706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
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