Least to greatest 1/2, 2/5, 6/10
In Marissa's Calculus course, attendance counts for 5% of the grade, quizzes count for 10% of the grade, exams count for 60% of the grade, and the final exam counts for 25% of the grade. Marissa had 100% average for attendance, 93% for quizzes, 86% for exams, and 85% on the final exam. Determine Marissa's course average.
Marissa's course average is calculated by weighting each grade by its importance and then summing. This results in an overall average grade of 87.15%.
Explanation:To calculate Marissa's course average given the percentage weight of each grading category and her averages in each category, we multiply each of her grades by the respective weight, then add the weighted grades together.
So, the calculation would be as follows:
Attendance grade: 100% * 0.05 = 5
Quiz grade: [tex]93 * 0.10 = 9.3[/tex]
Exams grade: [tex]86 * 0.60 = 51.6[/tex]
Final exam grade: [tex]85 * 0.25 = 21.25[/tex]
Adding these up, we get [tex]5 + 9.3 + 51.6 + 21.25 = 87.15[/tex]
So, Marissa's course average is 87.15%
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find (g o f)(x) where f(x)= x^2-2, g(x)=5x-8
The composite function (g o f)(x) of f(x) and g(x) is 5x^2-18.
We have given that,
f(x)= x^2-2, g(x)=5x-8
What is the value of (g o f)(x)?The value of (g o f)(x)=g(f(x)
g(f(x)=5(f(x))-8
=5(x^2-2,)-8
=5x^2-10-8
=5x^2-18
Therefore the composite function of f(x) and g(x) is 5x^2-18.
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where do the graphs Of linear equations 2x+3y=4 and 5x+6y=7 intersect
The graphs of the linear equations 2x+3y=4 and 5x+6y=7 intersect at the point (2, 0).
Explanation:The graphs of linear equations 2x+3y=4 and 5x+6y=7 intersect at a single point. To find the point of intersection, we can solve the two equations simultaneously.
Start by rearranging the equations to solve for y in terms of x:Now, set the two expressions for y equal to each other:Therefore, the graphs of the two equations intersect at the point (2, 0).
A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4,000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets in the factory after days. 2) After how many days will the factory begin producing trinkets?
A1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16.
a.find an explicit formula for anan: .
b.determine whether the sequence is convergent or divergent: . (enter "convergent" or "divergent" as appropriate.)
c.if it converges, find limn→∞an=limn→∞an= .
What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
Answer:
b
Step-by-step explanation:
The equation of the line parallel to y = x + 4 passing through the point (6, 5) is y = x - 1, which has the same slope as the given line but a different y-intercept, determined by the given point.
Explanation:The question asks for the equation of a line that is parallel to y = x + 4 and passes through the point (6, 5). Since the line we are looking for must be parallel, it will have the same slope as the given line, which in this case is 1 (since the coefficient of x is 1 in the given equation). The general form of the line we're looking for is y = x + b, where b is the y-intercept. To find the specific equation, we substitute the point (6, 5) into the equation to solve for b:
5 = (1)(6) + bThus, the equation of the line that meets the conditions is y = x - 1, which is not represented in the options given. Since none of the options match, it's possible that there might have been a mistake in the options provided or an error in the transmission of the question. However, based on the information given, this is the correct equation for the line parallel to y = x + 4 that passes through (6, 5).
The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 seats and 28 wheels. The equation representing the total number of seats is u+b=20 where u is the number of unicycles and b is the number of bicycles. Select the equation representing the number of wheels.
The equation u+2b=28 represents the number of wheels, which is correct option(C).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 20 seats and 28 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 20 seats
⇒ u+b=20
unicycle has 1 wheel and bicycle has 2 and total there are 28 wheels
⇒ u+2b=28
Hence, this equation represents the number of wheels.
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Please help me pleaseee
which scale facor would produce an expansion under a dilation of the original image
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many gallons of water would be used?
Which situation CANNOT be represented by this equation? −14x+14=8
A hot-air balloon has a 14-foot diameter that each 14 of an hour gets steadily smaller.At what rate, x, does the balloon have to shrink per hour before it has shrunk to a diameter of 8 feet?
A hot-air balloon has a 14-foot diameter that is getting smaller at a rate of 14 foot per minute. How many minutes, x, will it take before the balloon has shrunk to a diameter of 8 feet?
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
Answer:
The third option is the answer.
Step-by-step explanation:
[tex]-14x+14=8[/tex]
A hot-air balloon has an 8-foot diameter that is changing at a rate of 14 foot per minute. How long in minutes, x, will it take until the balloon has a diameter of 14 feet?
The equation in this case will be : [tex]8-14x= 14[/tex]
Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. How many bacteria should Jaquan start with so that they have the same amount at the end of the day?
Answer:
800
Step-by-step explanation:
204,800 / 2 ^ 8 = 800
Rosa has 5 pounds of apples how many pies with 8 ounces of apples can Rosa make
A human hair was measured to be 8.0×10−4 inch thick. A cat hair was measured to be 4.0×10−1 inch thick. How much greater is the thickness of the cat hair than the human hair? Write the answer in standard form.
Human hair: 8.0 x 10-4 = 0.00080
Cat hair: 4.0 x 10-1 = 0.40
Subtracting: 0.40 - 0.00080 = 0.3992
Using rules of precision, the answer becomes 0.40
Answer:
time 4learning answer is 500
Step-by-step explanation:
In questions 1-5, help the developer name the streets if the entrance street is y=2/3x-7, by using the patterns you discovered in the opening activity and the chart you filled in for the closing questions. All the streets that run parallel to the entrance street ( Oak Street) were given tree names, while all those that run perpendicular to the entrance street were given flower names. If it is neither parallel nor perpendicular to the main street, then the street was labeled with an animal name.
1. Street equation: y=-3/2x-2
weeping willow street
hibiscus street
oak street
Panther street
2.Street equation: y=2/3x+4
weeping willow street
hibiscus street
oak street
gray squirrel
3. Street equation: y=8/12x-7
silver maple street
hibiscus street
oak street
raccoon street
4. Street equation: y=-2/3x-16
elm street
daffodil street
oak street
panther street
5. Street Equation: y=4/6 x+5/3
elm street
camilla street
oak street
brown bear street
Nayati wants to swim 50 miles this school year. She plans to swim 1/4 mile each day. How many days will it take her to swim 50 miles. Show your work.
What is the value of x? Enter your answer in the box. x=
Answer:
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 64
x = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the leg of the triangle
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse.
We know one of the legs is 6 and the hypotenuse is 10
6^2 +x^2 = 10^2
36+ x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
how can you find x in the equation ax-bx+y=z
James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.
Based on the table:
Honor students:
315/356 = 88.48% is the total number of people who got the math class requested whereas
Non-honor students:
64/144 = 44.44% did not get the math class requested
So…
They will not have equal chance to get the math class they demanded, if both percent’s were equal, it would be just. For honors students, 88% of them will get the class they demanded, but for non honors students it's 44%.
In △DEF, DF = 17 and m∠F=32. Find DF to the nearest tenth.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please explain how you got the answer.
a proportion relationship is represented by the equation 2x=18y.If y=kx,where k is the constant of proportionlaity,then what is the value of K?
A.9
B.2
C.1/2
D.1/9
Kyle bought a pair of socks for $6. Last month, his friends bought the same socks for $5. What is the percent increase in the price of the socks?
75 percent of 88 is the same as 60 percent of what number?
A tee box is 48 feet above its fairway.
Let x be a random variable with pareto distribution with parameter α . determine the probability distribution function of the random variable y = ln ( x ) . what kind of distribution does y have?
Angle ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 110°, what is the measure of angle ABC?
Answer:
Step-by-step explanation:
Given that two tangents to a circle intersect at a point B outside the circle
A and C are points of contact.
By theorem on circles we have angle ABC is equal to 1/2 the difference of intercepted arcs.
Angle of minor arc =110 and hence major arc [tex]= 360-110 = 250[/tex]
Difference = [tex]250-110 =140[/tex]
Measure of angle ABC 1/2 of 140 = 70 degrees.
Sue plays on a soccer team. In one game this season, she scored 8 goals, which was one-fourth of the goals she scored for the whole season. How many goals in all did she score this season? (Please show work)
Sue scored 8 goals in one game, which was one-fourth of her total goals for the season. Multiply 8 goals times 4, we find that Sue scored a total of 32 goals for the season.
Explanation:The problem describes Sue's performance in soccer which tells us that the 8 goals she scored in one game are equivalent to one-fourth of the total goals she scored for the season. To find the total score for the whole season, we have to multiply the periods' score by 4 which is the quotient of the total goals to the periods' goals. So, if 8 goals equals to one-fourth, her total score for that season is 8 goals * 4 = 32 goals. So, Sue, who plays on a soccer team, scored a total of 32 goals for the season.
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f(t)=5t−7 please help
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