The speed of rocket when it is very far away from the the rocket is 9990 m/s.
In the given question, a rocket is launched straight up from the earth's surface at a speed of 15000 m/s.
v = 15000m/s = 1.5×10^{4} m/s
We have to find the speed of rocket when it is very far away from the the rocket.
As we know,
Mass of Earth(M) = 5.972×10^{24} kg
Radius of Earth(R) = 6.371×10^{6} m
The value of G = 6.67×10^{-11}
Applying law of conservation of energy,
-GMm/R + 1/2 mv^2 = 0+1/2 mV^2
Taking common m on both side, we get
-GM/R + v^2/2 = V^2/2
Substituting the value
-(6.67×10^{-11})(5.972×10^{24})/ 6.371×10^{6} + (1.5×10^{4})^2/2 = V^2/2
V^2/2 = -6.67×5.972×10^{-11+24}/ 6.371×10^{6} + 2.25×10^{8}/2
V^2/2 = -6.252×10^{13-6} + 1.125×10^{8}
V^2/2 = -6.252×10^{7} + 11.25×10^{7}
V^2/2 = 4.998×10^{7}
Multiply by 2 on both side we get
V^2 = 9.996×10^{7}
V^2 = 99.96×10^{6}
Taking square root on both side, we get
V = 9.99×10^{3}
V = 9990 m/s
Hence, the speed of rocket when it is very far away from the the rocket is 9990 m/s.
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How do you graph y 3x on a graph?.
The graph is in the image uploaded.
Given equation:
y = 3x
compare this with standard equation y =mx+b
slope m = 3
y intercept b = 0
so the point (0,0)
Table:
x y
0 0
-1 -3
-2 -6
Graphing with above table.
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suppose sixty percent of people at a company picnic got food poisoning. what percent of the people at the picnic did not get food poisoning? a. 40% b. 60% c. 20% d. 80%
a. 40%
the total amount of people is 100%
assume a person gets either food poisoning or doens't get food poisoning
100% - 60% = 40%
Consider n independent flips of a coin having probability p of landing heads. Say a changeover occurs whenever an outcome differs from the one preceding it. If p = 1/2, what is the probability there are k changeovers?(n−1k)(12)n−1 Explanation:
Denote the occurence of a changeover by event - C (for change)
Denote the occurence of a non-changeover by event - S (for sameness)
With this mapping, the above example sequence H H T H T H H T can be rewritten as S C C C C S C, starting from position (2).
Hence, the probability of k changeovers in n trials, is just equal to the probability of occurence of k 'C's in an (n-1) length sequence in the {S,C} universe, as mapped above. But, this is really the same as the probability of occurence of k heads in n-1 trials (because P(S) = P(C) = 1/2, same as probability of occurence of head or a tail). This is nothing but, number of ways of choosing k positions out of n-1 slots for occurence of head (=(n-1)Ck), divided by the total number of combinations possible (=2^(n-1)).
Hence, this is equal to (n−1k)(12)n−1
The probability that there are k turnovers in the given event is
[tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex] .
Let us consider the changeover for the event as C.
Let the non-change over of the event is S
Let the probability of the event be p.
Probability of heads = p
Now Xi =1 if the changeover occurs on the i - th flip.
E[Xi] = 2 × (1-p)×p
Expected number of changeovers :
E[number of change overs] = E[∑ Xi] =2(n-1)(1-p)p
Now the sequence is given as H H T H T H H T
This is same as the probability of k heads in (n-1) trials using binomial distribution .
Required probability = [tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex]
Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we say that there is a possibility that the event will occur.
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How do you regroup ones?.
When one column adds up to more than 10, you regroup 10 Ones into 1 Tens
Regrouping is done by making groups of tens during operations like subtraction and addition. Regrouping means rearranging numbers into groups by place value to make it easier to carry out operations. This process is called regrouping because you're rearranging numbers into place value to carry out the process.
To regroup means to rearrange groups in place value to carry out an operation.
When one column adds up to more than 10, you regroup 10 Ones into 1 Tens. Don't put the carry over in the answer area at the bottom of the column. Write it at the top. After we carry the 1, we add all the Tens place digits, including the carry.
Therefore, when one column adds up to more than 10, you regroup 10 Ones into 1 Tens
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What is an example of slope-intercept form?.
Answer:
y = 3x + 1
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
can yall solve this with solution thankss.
Answer:
first blank: 13
2nd/3rd blank:14/13
4th blank: 13
5th/6th blank: 14/13
7th blank: 42
Step-by-step explanation:
From the first line to the second you need to add
4/7x + 5/14x
Times 2 on the top and bottom of 4/7 to make it be 8/14.
then you can add:
8/14x + 5/14x
Keep the 14 on the bottom, add the tops. 8+5 is 13
= 13/14x
The 13 on top is the first fill in.
To solve for x you can multiply by the reciprocal of 13/14 (just flip it over)
14/13 is the blank/blank on both sides of the equal sign in front of the parenthesis.
The blank over 14 is 13, the same as the first answer.
The 14/13 × 13/14x
just leaves x on the left in the last line of the equation.
On the right, you have
14/13 × 39
You can divide the 39/13 to get 3. The problem becomes
14 × 3
= 42 This is the last fill in.
13/14 x = 39
14/13(13/14x)=14/13(39)
x = 42
which of the following is true of convenience sampling? multiple choice it allows researchers to measure the representativeness of a sample. it allows researchers to generalize the data collected to a defined target population. it is commonly used in the later stages of research. it is a nonprobability sampling method. it is a time-consuming process if there is a large number of respondents.
Convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.
In the given question we have to check which of the following is true of convenience sampling.
The given options are:
It allows researchers to measure the representativeness of a sample. It allows researchers to generalize the data collected to a defined target population.It is commonly used in the later stages of research.It is a nonprobability sampling method.It is a time-consuming process if there is a large number of respondents.Convenience sampling is a non-probability sampling process-based sampling technique.
When sampling vast amounts of data, it is helpful and takes less time.
It prevents the researchers from determining the representativeness and is not appropriate for earlier stages of research.
Additionally, it prevents researchers from extrapolating the data they have acquired.
Hence, convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.
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What is the value of this expression?
3³ +5x4-(8-5x2)² = ?
Answer: the answer is 19
a professor of statistics records the number of students who attend office hours one day and the number of questions asked on any one day. let x denote the number of students and y the number of questions asked, and let p(x,y) denote the joint probability mass function for x and y. records indicate that p(0,0)
The joint probability density function (joint pdf) is a function used to characterize the probability distribution of multiple continuous random variables that together form a continuous random vector. The results of asking values are
a) E(X³) = 5.86
b)E(X/Y = 2) = 2
c) E(Y²) = 1.2
d) σᵧ= 0.7483
e) E(3Y) = 2.4
We are given that X, Y denotes the number of students and number of questions respectively.
P(X,Y) denote the joint probability mass function for X and Y. Also provide,
P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.
Therefore the required quantities here are computed as:
P(X = 0) = 0.04
P(X = 1) = 0.26
P(X = 2) = 0.7
a) E(X³) = 0 + 1×0.26 + 23×0.7
= 5.86 is the required value here.
b) Now given Y = 2, the conditional Probability density function for X here is obtained as:
P(X = 2 | Y = 2) = 1
Therefore, E(X | Y = 2) = 2 here.
c) For Y, we have here:
P(Y = 0) = 0.4
P(Y = 1) = 0.4
P(Y = 2) = 0.2
Therefore,
E(Y²) = 0.4×1 + 22×0.2
= 1.2 is the required value here.
d) The standard deviation of Y here is computed as:
E(Y) = 1×0.4 + 2×0.2 = 0.8
S.D(Y) = sqrt( E(Y²) - [E(Y)]²) = sqrt( 1.2 - 0.82 )
= 0.7483 is the required value here.
e) E(3Y) = 3E(Y) = 3×0.8
= 2.4 is the required value here.
The probability that X > 1 and Y > 0 here is computed as:
= p( 2, 1). + p(2, 2) = 0.3 + 0.2 = 0.5 is the required probability.
Hence, we calculate all the required Probability values .
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Complete question:
A professor of Statistics records the number of students who attend office hours one day and the number of questions asked on any one day. Let X denote the number of students and Y the number of questions asked, and let P(X,Y) denote the joint probability mass function for X and Y.
Records indicate that P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.
Thus, for any given day, the probability of, say, two students and 1 question is 0.3.
matches the concept value.
All options are same
a) E(X³)
b)E(X/Y = 2)
c) E(Y²)
d) σᵧ
e) E(3Y)
Mark ave the ame amount of money each month at the end of two year he ha aved £432 how much did he ave each month
By conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, the amount Mark saved each month is:
The amount Mark gets after 2 years: £432
We know that 2 years has 24 months.
So we can write that:
The amount Mark gets after 24 years: £432
Amount Mark saved each month:
432/24
£18
Therefore, by conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.
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the length of rectangle is 15 cm and it breadth is 10cm find the ratio of length and breadth of the rectangle
Answer:
3 : 2
Step-by-step explanation:
the ratio of
length : breadth
= 15 : 10 ( divide both parts by 5 )
= 3 : 2
in a jar there are 600 red balls and 400 green balls and an unknown amount of yellow balls if probability is 1/5 for green how many yellow balls are in the jar?
The amount of yellow balls in the jar is 1000, with the probability.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.
in a jar there are 600 red balls and 400 green balls and an unknown amount of yellow balls.
probability is 1/5 for green ball.
The Total number of balls 1000+x
So given the probability of green is 400/1000+x = 1/5
1000+x = 5*400 = 2000
x = 2000-1000=1000
Hence the amount of yellow balls in the jar is 1000.
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N
Q
M
O
R
P
S
T
If NP and QS are parallel lines and mZSRO = 134°, what is m/QRO?
Answer:
m∠QRO = 46°
Step-by-step explanation:
In the question, we are told that m∠SRO = 134°, and we are asked to calculate m∠QRO.
In order to do that, we have to realise that since angles SRO and QRO are on a straight line, their measures add up to 180°. Therefore:
∠SRO + ∠QRO = 180°
⇒ 134° + ∠QRO = 180°
⇒ ∠QRO = 180° - 134°
⇒ ∠QRO = 46°
Therefore, m∠QRO = 46°.
scarlett is younger than nasim. their ages are consecutive integers. find scarlett's age if the sum of scarlett's age and 5 times nasim's age is 185.
Given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
As given in the question,
Age represents the consecutive integers and Scarlett age is less than Nasim's age.
Let 'x' represent the age of Scarlett
And ' x + 1' represents the age of Nasim
As per the given condition of their ages we have,
x + 5 ( x + 1 ) = 185
⇒ x + 5x + 5 = 185
⇒ 6x + 5 = 185
⇒ 6x = 185 - 5
⇒ 6x = 180
⇒ x = 180 / 6
⇒ x = 30 years
Therefore, for the given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
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What is the geometric means between 5 and 125?.
The geometric mean between 5 and 125 will be 25.
What is geometric mean?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values. In essence, we multiply the numbers collectively and take the nth root of the resulting multiplied numbers, where n is the total number of data values.
The given number is 5, 125.
So the Geometric Mean willl be (5*125)[tex].^{1/2}[/tex]
So [tex](625)^{1/2}[/tex]
= 25
Hence, the geometric mean between 5 and 125 will be 25.
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Express the given quantity as a function f(x) of one variable the product of two numbers x and y whose sum is 16
f(x) = 16x - x² is the given quantity expressed as a function f(x)
How to express the quantity as a function f(x) of one variable?
A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
Given that: the product of two numbers x and y whose sum is 16. Thus:
f(x) = x × y ---- (1)
x + y = 16 ---- (2)
=> y = 16-x ---- (3)
Put (3) in (1):
f(x) = x × (16-x )
f(x) = 16x - x²
Therefore, the given quantity expressed as a function f(x) is f(x) = 16x - x²
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Can someone help me with this DeltaMath question? I have no idea what to do but I've gotten this far...
The proof as explained below shows that ΔBAD ≅ ΔCDA by the side-side-side (SSS) congruence theorem.
What is the Side-side side (SSS) Congruence Theorem?The Side-side-side (SSS) congruence theorem states that two triangles are congruent to each other if the three sides of one triangle are equal or congruent to the corresponding three sides of the other.
The proof that shows triangles BAD and CDA are congruent is explained below.
Statement Reason
1. BD ≅ AC; BA ≅ DC 1. Given
2. AD ≅ AD 2. Reflexive property
3. ΔBAD ≅ ΔCDA 3. Side-side-side (SSS)
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if the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters? (1 millimeter
The volume of the container in cubic centimeters is 14.52 cubic centimeters.
Given:
if the volume of a small container is 14,520 cubic millimeters.
Volume:
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
we know that ,
To convert millimeters to centimeters we need to divide by 1000.
= 14,520/1000
= 1452/100
= 145.2/10
= 14.52 cubic centimeters.
Therefore The volume of the container in cubic centimeters is 14.52 cubic centimeters.
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find an equation of the tangent line to the curve at the point corresponding to the given value of the parameter x=cos theta + sin 2 theta, y= sin theta + cos 2 thet. theta=0
The equation of the tangent line to the curve at the point is 2y = x + 1.
Here we have to find the equation of the tangent line to the curve at the point.
The given data:
x = cosФ + sin 2Ф
y = sinФ + cos 2Ф
Now let us differentiate it, as we have to find the tangent of the curve.
dx/ dФ = -sinФ + 2 cos 2Ф
dy/ dФ = cosФ - 2sin2Ф
So we get dx/dy as:
dy/ dx = cosФ - 2 sin 2Ф / -sinФ + 2cos 2Ф
Now as it is given that Ф = 0. So putting Ф as 0 we have:
dy/ dx = cos0° - 2 sin 0° / -sin0° + 2 cos 0°
= 1 / 2
Now we get the value of x and y by putting Ф as 0°
x = cos0° + sin 0°
= 1
y = sin 0° + cos 0°
= 1
So we get the equation:
y - 1 = 1/2( x-1)
2(y - 1 ) = x - 1
2y - 2 = x -1
2y = x + 1
Therefore the equation is 2y = x + 1.
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find the area of the polygon below. 15cm 9cm 10cm 5cm
A= blank cm^2
Answer:
95
Step-by-step explanation:
15 * 5 = 75
5 * 4 = 20
20 + 75 = 95
the water utility (an enterprise fund) has just sent out a purchase order to a vendor for some new equipment. which of the following would be included in the journal entry to record this event?
For the water utility (an enterprise fund) has just sent out a purchase order to a vendor for some new equipment, of the following that would be included in the journal entry to record this event is none of the above. (Option D)
An enterprise fund refers to a fund which may be used to report any activity for which a fee is charged to external users for goods or services. An enterprise fund uses a separate accounting and financial reporting mechanism for which revenues and expenditures are segregated into a fund with financial statements separate from all other governmental activities. Enterprise funds provide goods and services to customers outside the reporting entity. Hence, from the options of journal entry records, none of the given options will be used.
Note: The question is incomplete as it is missing options which are A) A credit to Accounts Payable. B) A debit to Encumbrances. C) A debit to Expenditures. D) None of the above.
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what is 2 4/5 divided by 4
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]2\frac{4}{5}=\frac{10}{5}+\frac{4}{5}=\frac{14}{5}\\\frac{14}{5}(\frac{1}{4})=\frac{14}{20}\\\frac{14}{20}=\frac{7}{10}[/tex]
Answer:7/10 or 0.7 I hope this helpful mark me brainlist if you find this correct then no if wrong
Step-by-step explanation:
2 4/5
Convert the mixed number to an improper fraction.
14/5 divide 4
14/5 times 1/4
Cancel out the greatest common factor 2
14 and 4
7/5 times 1/2
Multiply the fractions
7/10
=7/10 or 0.7
the findings from a study of young single mothers at a university can be generalized to the population of: the findings from a study of young single mothers at a university can be generalized to the population of: all young single mothers in that society all young single mothers at that university all single mothers in all universities all young women in that university
All young single mothers in that society is correct.
Given that
The findings from a study of young single mothers at a university can be generalized to the population of:
1. all young single mothers in that society
2. all young single mothers at that university
3. all single mothers in all universities
4. all young women in that university
It can be generalized to all young single mother at the University. Because the findings might not be through for adults and at the same time might not be through for those outside the University.
Hence the answer is all young single mothers in that society is correct.
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A computer scientist is investigating the usefulness of twodifferent design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are askedto code to code a standard function in both languages, and asked tocode a standard function in both languages, and time (in minutes)is recorded. The data follow:
(a) Is the assumption that the different in coding time isnormally distributed reasonable?
Time
Programmer Design Language 1 Design Language 2
1 17 18
2 16 14
3 21 19
4 14 11
5 18 23
6 24 21
7 16 10
8 14 13
9 21 19
10 23 24
11 13 15
12
18
20
(b) Find a 95% confident interval on the different in meancoding times. Is there any indication that one designlanguages is preferable?
The 95% confidence interval for the mean coding time difference is (-1.2169,2/5502) one design language is better than another.
Given that,
A computer scientist is looking into how two different design languages may make programming chores better. Twelve experienced programmers who are fluent in both languages are given the task of creating a standard function in each language, and the time taken (in minutes) is recorded.
We have to identify the 95% confidence interval for the mean coding time difference. Is there any evidence that one design language is better than another.
We know that,
The attached file's histogram demonstrates that the distribution of differences is roughly normal.
It follows that the distribution must be regular.
The 95% confident level for μ=μ₁-μ₂
We get,
=d±t(S/√n)
=0.666667±2.201(2.964436/√12)
=0.666667±2.201(0.85576)
=0.666667±1.883525474
We get (-1.2169,2.5502)
Therefore, The 95% confidence interval for the mean coding time difference is (-1.2169,2/5502) one design language is better than another.
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What is 5 1/4÷1 5/9
I will give Big Brain to the guy who answers. I'm also give 30 points.
Answer: The answer is 3 3/8
Answer:
[tex]3\frac{3}{8}[/tex]
Step-by-step explanation:
turn into improper fraction first
5 1/4 ÷ 1 5/9
21/4 ÷ 14/9
now use the skip flip multiply method i told you about before
21/4 × 9/14
189/56
3 21/56
3 3/8
hopes this helps please mark brainliest
true false because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
The statement is true.
Given,
In the question:
Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Let's know:
An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.
Answer in true and false.
Now, According to the question:
The above statement is true.
Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Hence, The statement is true.
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Waim want to buy weet to ditribute on hi birthday. He want to give 3 weet to each of
hi 28 friend and have 10 weet extra. How hould he calculate the number of weet to
buy?
The number of weet to buy is 84.
We have amount given to one friend and we need to find number of weet given to all of his friends. We use unitary methods to calculate the number of weets.
Let total number of weet be X
Number of weet given to 1 friend = 3
Number of weet given to 28 friend = 28 X 3
= 84
Therefore X = 84
84 weet will be distributed among 28 friend.
Wasim wants 10 weet extra
So, total number of wee he will purchase =
Total weet given to his 28 friends + total extra weet
= 84 + 10
= 94
Hence, Waim will buy 94 weets.
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at the various activity levels shown, harper company incurred the following costs. units sold 20 40 60 80 100 a. rental cost per unit of merchandise sold $36.00 $18.00 $12.00 $9.00 b. Total phone expense80.00 100.00 120.00 140.00 c. cost per unit of supplies 1.001.00 1.00 1.00 d. Total insurace cost 480.00 480.00 480.00 480.00 e. Total salary cost 1,200.00 1,600.00 2,000.00 2,400.00 f. Total cost of goods sold 1,800.00 3,600.00 5,400.00 7,200.00 g. Depreciation cost per unit 240.00 120.00 800.00 60.00 h. Total rent cost 3,200.00 3,200.00 3,200.00 3,200.00 i. Total cost of shopping bags 2.00 4.00 6.00 8.00 j. Cost per unit of merchandise sold 90.00 90.00 90.00 90.00
a. Mixed cost - the cost per unit decreases with increase in units sold.
b. Variable cost - the expense increases with increase in units sold
c. Fixed cost - expense is constant with increase in units sold.
d. Fixed cost - cost is constant with increase in units sold.
e. Variable cost - cost increases with increase in units sold
f. Variable cost - cost increases with increase in units sold
g. Mixed cost- depreciation cost decreases with increase in units sold.
h. Fixed cost - cost is constant with increase in units sold.
i. Variable cost - cost increases with increase in units sold
j. Fixed cost- cost is constant with increase in units sold.
According to the given question;
Mixed costs: That has a high initial cost generally because they contain some fixed components and change in proportion because they contain some variable components.
Fixed costs: Costs that are consistent or constant are known as fixed costs.
Variable costs: These alter as the quantity of units changes.
(a) The price is fixed. This is because even while the price per unit fluctuates, the overall price does not. For instance, the total cost for 20 units is $720 ($36 x 20 units), and the total cost for 100 units is $720 ($7.2 x 100 units).
(b) The overall cost of the phone is mixed. On the basis of unit cost fluctuations, it may be claimed that the first 20 units have a fixed component and that subsequent 20 units have an equal distribution of fixed and variable costs.
(c) The price is vary. Supply costs are fixed regardless of quantity changes, and variable cost per unit is also fixed regardless of quantity changes that affect changes in the aggregate but not in the individual.
(d) The fact that the overall insurance cost remains constant as the quantity changes suggests that it is a fixed cost.
(e) Total salary expenses are mixed costs since they have a higher initial cost due to the inclusion of some fixed costs and ratio changes as a result of the addition of variable costs.
(f) Variable expenses, which rise in line with an increase in quantity, make up the entire cost of items sold.
(g) Depreciation is a fixed cost because, despite the fact that unit cost reduces as quantity increases, total cost remains constant.
(h) The total rent expense is constant despite changes in quantity, indicating that it is a fixed expense.
(i) The price of shopping bags is variable since the price and total fluctuate when the amount changes.
(j) Since individual unit expenses are constant per unit, the cost per unit of goods sold is variable.
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The write question is given below:
The graph of a quadratic function has the y-intercept A (0, 7.5), anf the zeros of the function are -10 and 3. Write the equation of the function.
The equation of the function is f(x) = (-1/4)(x+10)(x-3)
The y intercept of the function = A(0, 7.5)
The zeros of the function are
-10 and 3
The equation in intercept form
y = a(x - p)(x - q)
Where the value of p = -10
The value of q = 3
Then the function will be
f(x) = a(x + 10)(x - 3)
The point A = (0, 7.5)
Substitute the values of x and y in the equation
7.5 = a(0+10)(0-3)
Do the arithmetic operation
7.5 = a(10)(-3)
Multiply the terms
7.5 = -30a
a = 7.5 / -30
Divide the terms
a = -1/4
Hence, the equation of the function is f(x) = (-1/4)(x+10)(x-3)
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Two students created paintings for their art class. The canvas size used for each is shown.
4 ft
6 ft
2 ft
3 ft
Which statement is true about the ratios comparing the width and length of each painting?
O The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
O The paintings' width to length ratios are equal because the ratio 6 to 4 is equal to the ratio 2 to 3.
O The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 6 to 4.
The paintings' width to length ratios are different because the ratio 4 to 6 is not equal to 3 to 2.
Answer:
The conversion factor is 0.15500031000062; so 1 square centimeter = 0.15500031000062 square inches. In other words, the value in cm2 divide by 6.4516 to get a value in inch2. The calculator answers the questions: 110 cm2 is how many inch2? or change cm2 to inch2. Convert cm2 to inch2.
Conversion result:
1 cm2 = 0.155 inch2
1 square centimeter is 0.155 square inches.
Step-by-step explanation:
The correct option is the 1st one. "The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3."
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
Given that, Two students created paintings for their art class. The canvas size used for each is shown.
4 ft
6 ft
2 ft
3 ft
So the ratio of width and length of 1st painting = 4:6 = 2:3
And, the ratio of width and length of 2nd painting = 2:3
Hence, we can conclude that, The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
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