Answers
The surface area and the volume of the cone is 150.8 in², 116. 1in³. option A
How to determine the valuesThe formula for calculating the surface area of a cone is expressed as;
SA = πr² + πrl
Such that the parameters are;
r is the radius l is the lengthSubstitute the values, we have;
Surface area= 3.14 × 16 = 3.14 × 4 × 8
Multiply the values
Surface area = 50.24 + 100.48
Add the values
Surface area = 150.8 in²
Volume of the cone is;
Volume = 3.14 × 4² × 6.9/3
Volume = 3.14 × 16 × 6.9/3
Volume =116. 1in³
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Related Questions
3y(2-7)-3(y-4)-63 for y=2
Answers
Answer:
-87
Step-by-step explanation:
y=2
3y(2-7)-3(y-4)-63
3(2)(2-7)-3(2-4)-63
6(2-7)-3(2-4)-63
6(-5)-3(-2)-63
-30+6-63=-87
is 6.26 number types
Answers
A student graphed f(x) = x and g(x) = f(x) - 5 on
the same coordinate grid. Which statement
describes how the graphs of f and g are related?
A The graph of f is shifted 5 units up to create the
graph of g.
B The graph of f is steeper than the graph of g.
C The graph of f is shifted 5 units down to create
the graph of g.
D The graph of f is less steep than the graph of g.
Answers
The statement (c) describes that the graph of f is shifted 5 units down to create the graph of g. The solution has been obtained using the concept of vertical translation.
What is translation?
Translation is the act of moving a shape or a figure from one position to another. It is classified into two types:
Horizontal Translation: This describes the movement of a function graph to left or right.Vertical Translation: This describes the movement of a function graph upward or downward.Now, for a function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N is positive, the translation is upwards.
if N is negative, the translation is downwards.
We are given g(x) = f(x) - 5
This shows that N is negative and therefore, there is translation of 5 units downwards.
Hence, the graph of f is shifted 5 units down to create
the graph of g.
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what is (x + 2 ) (4x - 1 )
Answers
Answer:
(x+2)(4x-1)
For this problem, use the FOIL (first, outside, inside, last) method
You have x, 2, 4x, and -1. Start by multiplying x by 4x and -1. Then multiply 2 by 4x and -1. You should have four separate values to add together.
(x*4x)+(x*(-1))+(2*4x)+(2*(-1)) = 4x^2+(-x)+8x+(-2)
Once you have this, order each value by their exponents and combine like terms. The highest exponents always go to the left and lowest exponents go to the right.
4x^2+7x-2
The diameter of a circle is 18 in. Find its area to the nearest whole number.
Answers
Answer:
The answer is 20
Answer: 254 in^2
Step-by-step explanation:
Can someone help me with this problem, please
THANKS
Answers
Answer:
30%
Step-by-step explanation:
3 pizzas = 30 slices. count yellow 1+6+2 = 9
9/30 = 30%
At a certain college, 64% of the entering freshmen graduate. If we randomly selected 10 entering freshman, find the probability that: 14. Exactly 5 of the students will graduate 15. At least 8 of the students will graduate.
Answers
14) Probability that exactly 5 of the students will graduate is 0.1636.
15) Probability that atleast 8 of the students will graduate is 0.2405.
We have , In a college,
The freshmen graduate enters = 64%
Probability of sucess , p = 64% = 0.64
Probability of failure , q = 1 - 0.64 = 0.36
Randomly selected entering = 10 , i.e, n = 10.
This follows a Binomial probability distribution with the parameters, n = 10 and p = 0.64.
Using Binomial probability formula,
P(X = x) = ⁿCₖ pᵏ (1 - p)ⁿ⁻ᵏ
(14) Probability that exactly 5 of the students will graduate = P(x = 5),
P( x = 5) = ¹⁰C ₅ (0.64⁵) (0.36⁵)
= 0.1636
15) Probability that at least 8 of the students will graduate, P(x ≥8) = P(X= 8) + P(X= 9) + P(X= 10)
= ¹⁰C₈ 0.64⁸ 0.36² + ¹⁰C₉ 0.64⁹ 0.36¹ + ¹⁰C₁₀ 0.64¹⁰ 0.36⁰ = 0.2405
Hence, the required probabilities are 0.1636 and 0.2405.
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Use the Distributive Property to rewrite each algebraic expression
15(2 + r)
Answers
The algebraic expression 15(2 + r) by the distributive property can be written as 30 + 15r.
What is distributive property?This property states that multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the algebraic expression is 15(2 + r). The expression by using the distributive property can be written as:-
E = 15(2 + r)
E = 30 + 15r
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I need help with this
Answers
Answer:
d
Step-by-step explanation:
If the graph of a distribution of data shows that the graph is symmetric then the:
a) Midrange is a better measure of central tendency
b) Mean is a better measure of central tendency
c) Mode is a better measure of central tendency
d) Median is a better measure of central tendency
Answers
The correct option is:
d) Median is a better measure of central tendency
When a graph of a distribution of data is symmetric, it means that the left and right sides of the graph are mirror images of each other. This indicates that the data is evenly distributed around the center and that there are no extreme outliers. In such cases, the median is the best measure of central tendency, because it is the middle value of the dataset and it represents the center of the data distribution. The median is not affected by outliers.
The mean, mode, and midrange are also measures of central tendency, but they may not be as representative of the center of the data distribution when the data is symmetric. The mean is sensitive to outliers, the mode is the value that appears most frequently in the data, and the midrange is the average of the maximum and minimum values.
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Determine the total flops as a function of the number of equations n for the decomposition, forward-substitution, and back-substitution phases of the LU decomposition version of Gauss elimination.
Answers
The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.
The LU decomposition version of Gauss elimination involves 3 phases which are :
decomposition forward-substitution back-substitution.The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.
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What number gives a result of −4
when 8
is subtracted from the quotient of the number and 4
?
Answers
16 is the number gives a result of −4 when 8 is subtracted from the quotient of the number and 4.
What is Division?A division is a process of splitting a specific amount into equal parts.
If it gives a result of -4 then our equation will have ___ = -4
If we subtract 8 from the quotient of a number and 4 we have x/4 - 8
Our equation is:
x/4 - 8 = -4
Add 8 to both sides
x/4=-4+8
x/4=4
Multiply both sides by 4
x=16.
Hence, 16 is the number gives a result of −4 when 8 is subtracted from the quotient of the number and 4.
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about how many times large is 7.9x10^4 than 2.1x10^3
Answers
3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³. This can be solved using scientific notation method.
What is scientific notation?A method of writing numbers that combines a power of 10 with a number between 1 and 10. Using scientific notation, one may express extremely big or extremely small values. Once a number between 1 and 10 has been multiplied by such a power of 10, it is then expressed in scientific notation. For instance, 6.9 × 10⁸ can be used to represent the number 690,000,000.
The main goal of scientific notation is to simplify computations using numbers that are abnormally big or tiny. When a number is written in scientific notation, all of the digits are important since zeros are no longer utilized to set the decimal point.
For: 7.9 x 10⁴
= (79/10) x 10⁴
= 79 x 10³
on the other hand for: 2.1 x 10³
Thus, 3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³.
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Haile Resort opened for business on June 1 with eight air conditioned units. Its trial
balance on August 31 is as follows.
Haile Resort
Trial Balance
August 31, 2022
Debit Credit
Cash Br. 39,200
Prepaid Insurance 9,000
Supplies 5,200
Land 40,000
Buildings 240,000
Equipment 32,000
Accounts Payable Br. 9,000
Unearned Rent Revenue 9,200
Mortgage Payable 100,000
Share Capital—Ordinary 200,000
Retained Earnings 0
Dividends 10,000
Rent Revenue 172,400
Salaries and Wages Expense 89,600
Utilities Expense 18,400
Maintenance and Repairs Expense 7,200
Br.490,600 Br.490,600
Other data:
1. The balance in prepaid insurance is a 1-year premium paid on June 1, 2022.
2. An inventory count on August 31 shows Br.1,300 of supplies on hand.
3. Annual depreciation rates are buildings (4%) and equipment (10%).
4. Unearned rent revenue of Br.7,600 should be recognized as revenue prior
to August 31.
5. Salaries and wages of Br.750 were unpaid at August 31.
6. Rentals of Br.1,600 were due from tenants at August 31.
7. The mortgage note is dated 1/1/2022. The mortgage interest rate is 8% per
year.
Instructions
a. Journalize the adjusting entries on August 31 for the 3-month period
June 1–August 31.
b. Prepare an adjusted trial balance on August 31.
Answers
Journalize the adjustment entries on August 31 for the $500 in golf income during the three-month period from June 1 to August 31.
what is interest ?By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principal plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principal amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.
given
First FMA Assignment
Jornal 1.
2. Accounts Title Date (Mar) Debit ($) Credit ($)
1 Cash 60,000
60,000 Common Stock
3 Land 23,000
Structures 9,000
6k in equipment
Cash 38,000
5) Marketing Costs 1,600
Cash 1,600
Golf Sales 800
19) Cash (100 x 15) 1,500
1,500 in unearned revenue
25,000 dividends
Cash 1,000
30) salaries and 600 in expenses
Cash 600
30) Payable Accounts 26,000
Cash 26,000
31) Cash 500
500 Golf Revenue
Journalize the adjustment entries on August 31 for the $500 in golf income during the three-month period from June 1 to August 31.
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Write two equations showing the Transitive Property of Equality. Justify your reasoning.
Answers
x + 5 = 9 and 9 = y - 2
x + 5 = y - 2
a^2 + 2ab + b^2 = (a+b)^2 and (a+b)^2 = a^2 + 2ab + b^2
a^2 + 2ab + b^2 = a^2 + 2ab + b^2
In both examples, by using the transitive property, we can conclude that x = y and (a+b)^2 = (a+b)^2 which both are same expressions.
In the first equation, we start with x + 5 = 9 and then 9 = y - 2. Since both sides of the first equation are equal to 9, we can substitute 9 for x + 5 in the second equation, giving us 9 = y - 2. This shows that the left side of the first equation is equal to the right side of the second equation, which is the Transitive Property of Equality.
In the second equation, we start with a^2 + 2ab + b^2 = (a+b)^2 and then (a+b)^2 = a^2 + 2ab + b^2, since both sides are the same then we can substitute (a+b)^2 for a^2 + 2ab + b^2 in the second equation, which results in (a+b)^2 = (a+b)^2. This shows that the left side of the first equation is equal to the right side of the second equation, which is the Transitive Property of Equality.
In summary, The transitive property states that if you have two expressions are equal to each other, and the second expression is equal to the third, then the first and the third expressions are equal to each other.
Yoshio has 3 pieces of fabric. Each piece of fabric is the same length. The total length of the pieces is 2 and 1/4 yards. What is the length of each piece of fabric?
Answers
In linear equation, Length of each piece of fabric is 3/2 yards.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Number of pieces of fabric = 3
Total length of a fabric = 2 1/4 yards
= 9/4 yards
Therefore,
Length of each piece of fabric = 9/4 ÷ 3
= 3/4 yards
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Triangle JKL has coordinates 42,-5), K-1,-3), and L-4, 5). Determine the
coordinates of the vertices of the image after each transformation
10. translation along the vector (-3,1)
J (2,-5) ---------->! (, )
K (-1, -3) --------> K', )
L (-4, 5) --------->"(, )
Answers
The vertices of the image after transformation is K(5,-2), L(-1,3) and M(4,-5)
What is a triangle called?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.
What are the 3 sides of a triangle called?A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
According to the given question,
with respect to the mirror
the vertices of the image of the triangle is
J (2,-5) ---------->! (5,2)
K (-1, -3) --------> K'(-1,3 )
L (-4, 5) --------->"(4,-5 )
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in an experiment, what is the probability than even A occurs is 0.2 and the probability that event b occurs is 0.5
Answers
Answer: In an experiment, if the probability that event A occurs is 0.2 and the probability that event B occurs is 0.5, then the probability that either event A or event B (or both) will occur is the sum of their individual probabilities, which is 0.2 + 0.5 = 0.7.
It should be noted that the sum of the individual probabilities of two events is less than or equal to 1. If the sum of the probabilities is greater than 1, it means that the events are not mutually exclusive and that means that they can happen at the same time.
It's important to mention that the above answer is based on the assumption that events A and B are mutually exclusive events, which means that they cannot happen at the same time. If they are not mutually exclusive, the probability of both occurring at the same time would have to be calculated using the formula P(A and B) = P(A) * P(B|A) where P(A) is the probability of event A occurring and P(B|A) is the probability of event B occurring given that event A has already occurred.
Step-by-step explanation:
Consider the following data consisting of 9 values:
Data
4
10
12
9
0
6
3
11
16
The minimum is
The first quartile is
The median is
The third quartile is
The maximum is
The IQR is
Answers
Note that where the following values are given: 0, 3, 4, 6, 9, 10, 11, 12, 16, the respective quartile values are:
The minimum = 0
The first quartile (Q₁) is = 3.5
The median (Q₂) = 9
The third quartile (Q₃) = 11.5
The maximum = 16
The IQR = 8 .
What is median?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory.
It is to be noted that sometimes referred to as "the middle" value in data collection.
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I need help with this question
Answers
Answer:
I think A is the answer.
U're welcome amigo.
A term that means the same as the term "variable" in an ANOVA procedure is _____.
Answers
A term that means the same as the term "variable" in an ANOVA procedure is a factor.
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
There are two methods of finding factors: multiplication and division. In addition, rules of divisibility may also be used.
Let us consider the number 8. 8 can be a product of 1 and 8, and 2 and 4. As a result, the factors of 8 are 1, 2, 4, and 8. Therefore, when finding or solving problems involving factors, only positive numbers, whole numbers, and non-fractional numbers are considered.
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A computer can do a computation in 6.8 x 10-9 seconds? How many computations can the computer do in 5 minutes
Answers
Answer:
≈[tex]4.4117647059\times10^{10}[/tex] computations in five minutes.
Step-by-step explanation:
[tex]\frac{5*60}{6.8\cdot10^{-9}}[/tex] = [tex]4.4117647059\times10^{10}[/tex].
Proof in the image.
Please mark brainliest so I can get to the expert rank (only 10 to go!)
Help me, please let me know the answer to the question <3
Answers
Answer:16.98$
Step-by-step explanation:
A pound of roast beef costs 8.49
2 pounds of roast cost?
2x8.49=16.98
Select each expression that has a difference of 4 3/12 
Answers
Answer:
Step-by-step explanation:
9 7/12 - 5 4/12 = 4 3/12
If you add 21 to my number, multiply the result by 3, you will get 84 more than 2/3 of my number what is my number?
Answers
Step-by-step explanation:
x = my number
3(x + 21)
multiply sum of 21 and my number by 3
=
(2/3)x + 84
84 more than 2/3 of my number
3(x + 21) = (2/3)x + 84
9(x + 21) = 2x + 3×84 = 2x + 252
9x + 189 = 2x + 252
7x + 189 = 252
7x = 63
x = 9
my number is 9.
Evaluate the iterated integral. 1 0 s5 cos(s6) dt ds 0
Answers
The value of the evaluated iterated integral is = 0.002
As per the given data the iterated integral is, [tex]I[/tex] = [tex]\int\limits^1_0[/tex] [tex]\int\limits^s_0[/tex] cos ([tex]s^{6}[/tex] ) [tex]dt ds[/tex]
Here we have to evaluate the given iterated integral.
The definite integral of a real-valued function f(x) with respect to a real variable x on an interval [a, b] is expressed as,
[tex]\int\limits^a_b f({x} )\, dx[/tex] = f(b) - f(a)
Where,
a = Lower limit
b = Upper limit
f(x) = Integrand
dx = Integrating agent
Thus, [tex]\int\limits^_[/tex] ab f(x) dx is read as the definite integral of f(x) with respect to d x from a to b.
Indefinite integrals are implemented when the boundaries of the integrand are not specified.
[tex]I[/tex] = [tex]\int\limits^1_0[/tex] [tex]\int\limits^s_0[/tex] cos ([tex]s^{6}[/tex] ) [tex]dt ds[/tex]
Integrate the given iterated integral.
We get:
= [tex]\int\limits^1_0[/tex] cos ([tex]s^{6}[/tex] ) ([tex]\int\limits^5_0dt[/tex] ) ds
= [tex]\int\limits^1_0[/tex] cos ([tex]s^{6}[/tex] ) [t][tex]0 to s^{5}[/tex] ds
= [tex]\int\limits^1_0[/tex] cos ([tex]s^{6}[/tex] ) [tex](s^{5} -0)[/tex] ds
= [tex]\int\limits^1_0[/tex] [tex]s^{5}[/tex]cos ([tex]s^{6}[/tex] )ds
Then,
[tex]s^{6}[/tex] = t when s = 0
[tex]\frac{dt}{ds}[/tex] = 6[tex]s^{5}[/tex] t = 0
[tex]\frac{dt}{6}[/tex] = [tex]s^{5}[/tex] ds when s = 1..... t = 1
Replace the assumed terms.
Then we get:
[tex]I[/tex] = [tex]\int\limits^1_0[/tex] cos(t) [tex]\frac{dt}{6}[/tex]
[tex]I[/tex] = [tex]\frac{1}{6}[/tex] [tex]\int\limits^1_0[/tex] cos(t) dt
[tex]I[/tex] = [tex]\frac{1}{6}[/tex] [sin(t)][tex]0to1[/tex]
[tex]I[/tex] = [tex]\frac{1}{6}[/tex] [ sin(1) - sin(0) ]
[tex]I[/tex] = [tex]\frac{sin(1)}{6}[/tex]
[tex]I[/tex] = 0.002
Therefore,
The value of the evaluated iterated integral is = 0.002
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In the figure below, =m∠364°. Find m∠1, m∠2, and m∠4.
Answers
Answer:
m∠1 = 64
m∠2 = 117
m∠3 = 117
Step-by-step explanation:
m∠1 = 64
m∠2 = x+64 = 180
= x = 117
m∠2 = 117
m∠3 = 117
Answer the picture below
Answers
Jim spent a total of $125.15 for the 130 miles he traveled in one day at the $14.95 base fee.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to signify equivalence. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematically, the connection between two phrases on either side of a letter is stated. The symbol doubles as the sole variable most of the time. for illustration, 2x - 4 = 2.
given
per mile the cost is $0.85
Base fee is 14.95
0.85x+14.95= 125.15
0.85x=125.15 - 14.95
0.85x = 110 . 92
x= 110 . 92 / 0.85
x= 130. 49
Jim spent a total of $125.15 for the 130 miles he traveled in one day at the $14.95 base fee.
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The maths GCSE test scores of 280 students are shown in the histogram below
Answers
we determined median = 140 and lower quartile = 105.
What is median and quartile in a statistics data?Median is the middle value of a set of data. Median is determined by the formula, median = 2/4 (N+1)th term, where N is the number of data set.
Quartile is a statistics terms defines that a list of data is divided into four parts. There are three quartiles in the statistics data such as lower quartile, middle quartile and upper quartile.
lower quartile = 1/4(N+1)th term
upper quartile = 3/4(N+1)th term
the median is called the middle quartile.
What is the median and lower quartile for the above histogram?From the histogram we obtain the data below
80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
number of data, N = 13
median = 2/4 (N+1)th term= 1/2 ×14 = 7th term
we find 7th term is 140.
median = 140
lower quartile= 1/4× (N+1)th = 1/4 × 14 = 3.5 th term
that means average of 3 and 4th term.
lower quartile = (100 + 110) /2 = 105
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How to Simplify 3(-9x + 8)
Answers
Answer:
multiple everything by three so say 3×-9x is -27x and 3 ×8 is 24 and you would then divide -27x by 24 and you would get -27x+24 I think