Answer: x ≤ 0. Interval Notation: (-∞, 0]
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Sometimes distinct patterns around a trend line can be caused by A. statistical anomalies. B. dummy variables. C. seasonal variation. D. poor underlying data.
Answer:
C. Seasonal variation
Step-by-step explanation:
Distinct pattern around a trend line can be caused by seasonal variation.
Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season
Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.
If g(x) = x2 + 2, find g(3).
9
8
11
Answer:
\(y = {3}^{2} + 2 = 9 + 2 = 11\)
Roberto said, "I'm thinking of a fraction that is equivalent to 3 9 . The denominator is 2 more than the numerator." What fraction is Roberto thinking of?
The fraction that Roberto is thinking of is \(\mathbf{\dfrac{x}{2+x} = \dfrac{3}{9}}\) and the value of x = 1
What is a fraction?
A fraction is that part of a whole number that is used to express figures into two parts which are the numerator(upper part) and the denominator(lower part) and these two parts are separated by a division line.
From the given information, we have:
\(\mathbf{\dfrac{x}{2+x} = \dfrac{3}{9}}\)
Cross multiply
9x = 3(2+x)
9x = 6 + 3x
9x - 3x = 6
6x = 6
x = 6/6
x = 1
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1. Which is the equation of a circle with center (-2, 3) and radius r = 5? (1 point)
0 (x+2)2+1-3)2=10
0(+2)2+ (7-3)2=25
0(x-212+(1+3)2=10
0(-2)2+(+3)2=25
2. A circle with center (-1, 2) passes through point (2, -2). Which is true? (1 point)
O The radius is 55.
OThe diameter is 10.
O The equation is (x + 1)3 + (-2)3=10.
O The circumference is 25 m.
3. Which of the following is the graph of (X-2)7+ (+1)2=9?
The graph for the circle equation (x-2)²+(y+1)²=9 is in option D.
The given circle equation is (x-2)²+(y+1)²=9.
The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r².
From the given equation, we have
Center: (2, -1)
Radius: 3
Therefore, the correct option is D.
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What is the area of the shaded region?
A 13,928.142
B 20,378.126
C 15,378.126
D 16,682.522
Answer:
where are the dimensions????
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. btw i will mark the brainlyest it has to be in my own words
Answer:
one was 17 and one was 18 so 17+18 is : 36
If the triangles are similar, find the scale factor from triangle DEF to triangle ABC
Explanation
From triangle DEF to ABC is a reduction. Therefore, the scalefactor becomes;
\(Scale\text{ factor =}\frac{DF}{AC}=\frac{21}{14}=\frac{3}{2}\)Answer: Option 2
What is the solution of the equation 3^x – 1 = 7? Round your answer to the nearest ten-thousandth.
The solution of the equation is to the nearest ten-thousandth is x = 2.7712.
What is natural logarithm?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. Typically, the natural logarithm of x is expressed as ln x, loge x, or, if the base e is implicit, just log x.
The given equation is \(3^{x-1} = 7\).
Take natural log on both sides of the equation:
\(\ln (3^{x-1} )=\ln( 7)\)
(x - 1) ln(3) = ln(7)
x - 1 = ln(7) / ln(3)
x = 1 + ln(7) / ln(3)
x = 2.7712
Hence, the solution of the equation is to the nearest ten-thousandth is x = 2.7712.
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Its about fractions please help me
The times the 7 in the Susan's scores is greater than Sarah's score is 100 times
How many times is the 7 in the scores greater than the otherFrom the question, we have the following parameters that can be used in our computation:
Susan = 87, 325
Sarah = 46, 175
The values of the 7's in their scores are
Susan = 7, 000
Sarah = 70
So, we have
Number of times = 7000/70
Evaluate
Number of times = 100
Hence, the number of times is 100
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mr charles cut fresh roses from his garden and gave 10 roses to his nethtbor then he gave half of what was left to his niece he kept the remaining 14 roses how many roses did he cut
Step-by-step explanation:
Let x be the number of roses Mr Charles had cut from his garden.
After giving 10 roses to his neighbour, he has (x - 10) roses.
After giving half of the remaining roses to his niece, he has (x - 10)/2 roses left.
We are given that (x - 10)/2 = 14.
=> x - 10 = 28, x = 38.
Hence Mr Charles had cut 38 roses.
Find the volume of this object.
Use 3 for T.
Volume of a Cone
V= πr²h
3
cm
Volume of a
Rectangular Prism
V = lwh
5 cm
3
V ≈ [?]cm³
Enter
1 cm
6 cm
12 cm
Answer: 123
Step-by-step explanation:
The volume of the rectangular prism is
\(V=(1)(5)(12)=60\)
The volume of the cone, using \(\pi=3\), is
\(V=\frac{(3)(3^{2})(7)}{3}=63\)
Thus, the total volume is 60+63=123
HELP PLEASE!! ASAP!!
Answer:
f(x) = -3x+1
Step-by-step explanation:
every straight graph has an equation f(x) = m * x + b
when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1
so your equation is -3x + 1
What is the range of the absolute value function below?
The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).
The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.
The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.
For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.
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The range of the absolute value function below is C. f(x) < 1.
How to explain the informationThe domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.
The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.
The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.
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What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4
Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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How many solutions does the equation below have?
9 - 5h = -5h + 12
A. One Solution
B. No Solution
C. Infinite Solutions
Answer:
c
Step-by-step explanation:
mark brainiest pls
Answer:
B:no solution
Step-by-step explanation:
Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.
Answer:
10.3
Step-by-step explanation:
Recall SOH, CAH, TOA
In this case we have the hypotonouse is given (the hyptonouse is the side that is opposite from the right angle) and we need to solve for the opposite
therefore we will use SOH
we have
sin(69)=x/11
11*sin(69)=x
x=10.269
which rounds to
10.3
Answer:
\( \displaystyle \: x= 10.3\)
Step-by-step explanation:
we are given hypotenuse and \(\theta\)
we want to figure out x (opposite)
remember that,
\( \displaystyle \: \sin( \theta) = \frac{opp}{hypo} \)
here our \(\theta \) is 69°
and hypo is 11 and opp is x
so substitute:
\( \displaystyle \: \sin( 69 ^{ \circ} ) = \frac{ x}{11} \)
cross multiplication:
\( \displaystyle \: x= 11 \sin( 69 ^{ \circ} ) \)
by using calculator:
\( \displaystyle \: x= 10.3\)
The image
shown at the right contains many triangles.
Describe the different types of triangles found in
the image.
Answer:
Cna you please put a image, I would like that so much so I can help you?
Step-by-step explanation:
The variables x and y vary inversely. Use x=−3 and y=4 to write an equation relating x and y. Then find y when x=6 .
Step-by-step explanation:
If x and y vary inversely, we can write the equation:
xy = k
where k is a constant of proportionality. To solve for k, we can use the values x = -3 and y = 4:
(-3)(4) = k
-12 = k
So the equation relating x and y is:
xy = -12
To find y when x = 6, we can plug in these values and solve for y:
(6)y = -12
y = -2
So when x = 6, y = -2.
help me please so i can pass my semester
find the Square root of 49/10000
Answer:
o.ooo7
Step-by-step explanation:
The square root of 49/10,000 is 0.0007.
Hope this helps
please mark as brainlist
Compare 0.59 and 2/3
Please I will Mark brainliest.
Answer:
2/3 is larger
Step-by-step explanation:
2/3 is equal to 0.66666 so round 0.666 to 0.67 so 0.59 is less than 2/3
Answer:
0.59 < 2/3
Step-by-step explanation:
0.59 is also 59/100
the LCM of 100 and 3 is 300
59/100 = 177/300
2/3 = 200/300
177/300 < 200/300
0.59 < 2/3
Thanks!
Can someone help me please
A population of bacteria is growing according to the equation p(t)=1950e^0.16t Estimate when the population will exceed 6371.
t= -------------
The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
How to deal with exponential function?To estimate when the population will exceed 6371, we can set up the inequality:
p(t) > 6371
where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)
Substituting the expression for p(t) into the inequality, we get:
\(1950e^{0.16t} > 6371\)
Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:
\(e^{0.16t} > 6371 / 1950\)
To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:
\(ln(e^{0.16t} > ln(6371 / 1950)\)
Using the property of logarithms that ln(e^x) = x, we get:
\(0.16t > ln(6371 / 1950)\)
Now, we can divide both sides of the inequality by 0.16 to solve for t:
\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)
Simplifying, we get:
\(t > ln(6371 / 1950) / 0.16\)
Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).
So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
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Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If the top 5 percent and bottom 15 percent are excluded for an experiment, what is the bottom cutoff heights to be eligible for this experiment? Round your answers to one decimal place.
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that \(\mu = 69, \sigma = 2.8\)
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.037 = \frac{X - 69}{2.8}\)
\(X - 69 = -1.037*2.8\)
\(X = 66.1\)
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Personal Finances Practice Active 1 2 You are starting a new job in sales for the company Buy 'n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary a $21,650 C. $20,800 b. $18,798 d. $19,980
Answer:
C.20,800
Step-by-step explanation:
10.00 per hour so 10x8=80
then 80x5=400
400x52=20,800
solve this question step by step
Answer:
BE = 49
Step-by-step explanation:
In triangle BDC
65^2=56^2+BD^2
65^2-56^2=BD^2
4225-3136=BD^2
1089=BD^2
33=BD
In triangle FDE
65^2=63^2+DE^2
4225-3969=DE^2
256 = DE^2
16=DE
since ED+DB=BE
THEREFORE
16+33=BE
49=BE
The volume of a sphere is 3000 m. What is the surface area of the sphere to the nearst square meter.
Answer:
113097336
Step-by-step explanation:
(3000^2 x Pi) x 4
113097335.52923
113097336
A probability experiment consists of rolling a 6-sided die, numbered 1 to 6. Find the probability of the event below.
rolling a number less than 6
According to the solving the Probability of the event below is as:
= 0.8333
What is probability?Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.
The purpose of probability:Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.
According to the given data:The probability of rolling a number less than 6.
There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)
There is a total of six numbers and five ae below six in value.
So,
P(X < 6) = 5/6
= 0.8333
According to the solving the Probability of the event below is as:
= 0.8333
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What is located at (0.7, -0.2)?
I’m confused
A pond is located at (0.7, -0.2)
What is a Graph
The relatiοnship between lines and pοints is described by a netwοrk's mathematical representatiοn, οr graph. The pοints and cοnnecting lines that make up a graph. Bοth line length and pοint placement are irrelevant. The term "nοde" refers tο each element in a graph.
What is a pond?A pοnd is a small area οf still, fresh water. It is different frοm a river οr a stream because it dοes nοt have mοving water and it differs frοm a lake because it has a small area and is nο mοre than arοund 1.8m deep
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Complete Question?
What is located at (0.7, -0.2)?
Adisa has $195.00. He wants to buy as many calculators as possible. Each calculator costs $6.50. Part A Create an equation that can be used to determine the number of calculators, C, Adisa can buy. Drag and drop the options to the empty boxes to create your equation. A ? = 6.50 С + 195.00 Part B How many calculators can Adisa buy? Enter your answer in the box.
Answer:
Step-by-step explanation:
Equation
Part A
# Calculators = Total amount / Cost of 1 calculator
Givens
# Calculators = ?
Total amount of money = 195 dollars
Cost of one calculator = 6.50
Solution
# Calculators = 195/6.50
# Calculators = 30
Answer: He can buy 30 calculators.