Given:
\(-10>6-v\)Required:
To solve the given inequality.
Explanation:
Consider
\(-10>6-v\)Subtract 6 on both side, we get
\(\begin{gathered} -10-6>6-v-6 \\ -16>-v \end{gathered}\)Divide both sides by the same factor and flip the relation because the factor is negative
\(\)Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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Asap: Write an equation to represent this hanger:
5x + 2 = 17
where x = 3
i hope this may be helpful
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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Please help !! Which are pairs of vertical angles?
< AOC and
Answer: all of them
Step-by-step explanation:
I need help with questions 1,2, and 3. This class is microeconomics
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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The table shows the miles and total cost of renting a moped. Which function ƒ(x) is represented in the table?
Question 18 options:
A)
ƒ(x) = 0.4x + 12
B)
ƒ(x) = x + 8
C)
ƒ(x) = 0.5x + 10
D)
ƒ(x) = 5x – 10
Answer:
C
Step-by-step explanation:
if you put the x numbers (miles) in the x spot in the equation you will get your y answer. which ever one matches is your answer
ON A COMPUTER SCREEN ANSWER ASAP
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the proof that B2C? Select three that apply.
AB AC because of the definition of an isosceles triangle
BAC because corresponding parts of congruent triangles are congruent.
AABM 4 AACM because of the SAS triangle congruence criterion
BMCM because of the definition of a midpoint
AM A AM because of the Symmetric Property
Answer:
A. AB = AC because of the definition of an isosceles triangle
B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.
D. BM = CM because of the definition of a midpoint
Step-by-step explanation:
A. An isosceles triangle is a triangle with two equal sides, hence:
AB = AC because of the definition of an isosceles triangle. option A is correct.
D. Since Point M is drawn as the midpoint of BC, hence:
BM = CM because of the definition of a midpoint. Option D is correct.
E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.
AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.
C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.
Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion
ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.
D. Corresponding parts of congruent triangles are congruent. hence:
∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
A. -4
B. -3
C. -2
D. -1
Answer:
b. -3
Step-by-step explanation:
9(2x+1) < 9x-18
(distribute the 9)
18x+9 <9x-18
(subtract 9 from both sides)
18x<9x-27
(subtract 9x from both sides)
9x<-27
(divide both sides by 9)
x<-3
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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Your average bi-weekly net pay is $489.00. What is 15% of your average monthly net pay? (1 point)
$146.70
$158.93
$160.13
Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.
Monthly net pay = 489.00 x 2 = $968.00
Multiply monthly by 15%
968 x 0.15 = $146.70
Answer: $146.70
If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.
Average monthly net payFirst step
Monthly net pay=$489.00×2
Monthly net pay=$968
Second step
Average monthly net pay:
Average monthly net pay=$968×15%
Average monthly net pay=$146.70
Therefore your average monthly net pay is:$146.70.
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A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement
Answer:
252 menu
Step-by-step explanation:
Total number courses, n = 10
The largest number of menu the chef can plan using his 10 main courses.
There are various combinations of menu obtainable from the available courses :
Ranging from :
nC0 to nCn
The largest number of menu he can plan is the highest output obtainable between :
10C0 to 10C10
10C0 = 1
10C1 = 10
10C2 = 45
10C3 = 120
10C4 = 210
10C5 = 252
10C6 = 210
10C7 = 120
10C8 = 45
10C9 = 10
10C10 = 1
Hence, the largest number of menu he can plan using his 10 main courses is 252
Luke invested $69,000 in an account paying an interest rate of 5.1% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 19 years?
Answer:
A = $ 181,824 rounded
Step-by-step explanation:
A = $ 181,823.93
A = P + I where
P (principal) = $ 69,000.00
I (interest) = $ 112,823.93
if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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(please answer fast)
which of the following graphs shows a proportional relationships
Answer:
It is A
Step-by-step explanation:
The proportan go's through the orgin also known as 0
Answer:
A
Step-by-step explanation:
A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?
Answer:
67.
Step-by-step explanation:
n - m = 66
The 66 includes the number m+1 up to and including n (buy not m).
So the number of integers is 66 +1 = 67
j/k-0.02k when j=25 and k=5
Answer: 4.98
Step-by-step explanation:fractions are dividing so if j=25 and k=5 the division problem would be 25 divided by 5 then u would subtract 0.02 to get 4.98
Last week, Gustavo got his bank statement in the mail. He was surprised to see a graph that showed that, although his balance was growing at a steady rate, the bank predicted that in five years his account balance would be only $600. "What is going on?" he wondered. "Why isnt my money growing the way I thought it would?" PLS. HURRY
It is most likely because he does not fully understand the manipulation techniques his Bank of America is utilizin
Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
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What is the surface area?
5 m
7 m
4 m
140 m squared
16 m squared
166 m squared
156 m squared
Answer:
c. 166
Step-by-step explanation:
area = l x w
surface area = area
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
A researcher watches popular television shows and records every time someone interrupts a speaker. She wants to understand the frequency of interruption on television.
Answer:
the frequency of someone interru
Step-by-step explanation:
The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.
What is noise?Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).
here, we have,
The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.
and, we have,
Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.
To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.
Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.
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Complete question:
ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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An on-line graphic novel and comic book retailer charges shipping costs according to the following formula
The graph will be piecewise. Then the graph of the function is given below.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
S(n) = 0.50n + 3.5, if 1 ≤ n ≤ 14
S(n) = 0 , if n ≥ 15
The graph will be piecewise. Then the graph of the function is given below.
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Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *
Answer:area is 12
Step-by-step explanation:
the volume of a pyramid is given by v=1/3bh. what is h expressed in terms of b and v
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
v = 1/3 * b * h
h = ?
Step 02:
\(\begin{gathered} v=\frac{1}{3}\cdot b\cdot h \\ 3v\text{ = b}\cdot h \\ \frac{3v}{b}=h \end{gathered}\)The answer is:
h = 3v / b
He jogging track has a length of 792 yards how long is this in miles
By performing the division, the jogging track is 0.45 miles long.
What is division?Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.
According to given information:The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.
To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.
So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.
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NOTE: Angles not necessarily drawn to size . what is x?
Answer: 45
Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.
Answer:
X=45
Step-by-step explanation:
Method 1 ( the long one)
So AED and CEB are vertical angles, that means that the are the same and have the same value.
So 115 plus x equal 160.
115 + x = 160
from there we just have to subtract 115 from both sides to get x by itself.
115 + x = 160
-115 -115
_________________
x=45
Method 2 (short one
If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.
5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.