A friend has a 85% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

What is the best course grade your friend can earn?

What is the minimum score your friend would need on the final to earn a 75% for the course?

(Give answers accurate to at least one decimal place.)

Answers

Answer 1
GIVEN

Your friend's 80% average now represents 85% of the overall grade. This is because we are aware that the final, which is worth 15%, is the only thing left.

SOLUTION

If your friend receives a 100 on the final, they will receive the highest possible course grade:

0.85(80%) + 0.15(100%) = 83%. The course's highest achievable grade is 83%.

The following equation must be solved for "f," the result of the final test, in order to obtain a score of 75:

0.85(80%) + 0.15(f) = 75%68% + 0.15f = 75%0.15f = 7%f = 46.67%

A final grade of 46.67% is required in order to receive a course passing grade of 75%.

Related Questions

Evaluate. [2−∣∣−14−2(−35)∣∣]÷(−6)

Answers

Answer:

Step-by-step explanation:

5 I think

Given: AD // BC, AB // CD
Prove: △DBC ≅ △BDA

Answers

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Define pentagonal.

Pentagons is that are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here, we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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On solving the provided question, we can say that In triangle DBC and BDA, So, By SSS, △DBC ≅ △BDA

What is triangle?

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

In triangle DBC and BDA

BD = BD ( common base)

AB = CD

AD = BC

So, By SSS,

△DBC ≅ △BDA

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What is the standard form of equation y 3x 10?

Answers

The standard form of the equation y = 3x + 10 is -3x +y = 10.

To accomplish the given equation and bring it in the standard form for our problem, we first arrange it in standard form and then apply a little algebra to subtract 3x from both sides of the equation.

Given,

y = 3x + 10

Subtract 3x from each side.

Simplify: y - 3x = 3x + 10 - 3x.

y - 3x = 10

The x word should be placed first in the left-hand side arrangement.

-3x + y = 10

We discover that y = 3x + 10 is written as -3x + y = 10.

Ax + By = C is the equation of a line in its standard form, where A, B, and C are constants. There are several possible ways to express a line's equation, and if we are given a line that isn't in standard form, we can apply a little algebra to change the equation.

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Becca needs to find the volume of the following composite figure formed by stacking a triangular prism on top of a cube.She finds the volume of the cube by multiplying 10 by 10 by 10 to get 1,000 cubic cm. Then, she multiples by 1.5 to get the total volume of the figure. Is Becca's solution correct? Why or why not?

Answers

Becca's solution is not correct. Multiplying the volume of the cube (10 x 10 x 10 = 1,000 cubic cm) by 1.5 will not give the correct total volume of the composite figure.

Is this solution of Bella correct?

From the information, Becca needs to find the volume of the following composite figure formed by stacking a triangular prism on top of a cube.She finds the volume of the cube by multiplying 10 by 10 by 10 to get 1,000 cubic cm. Then, she multiples by 1.5 to get the total volume of the figure.

The solution is incorrect is because the triangular prism and the cube are separate shapes and their volumes need to be added together to find the total volume of the composite figure. Becca needs to calculate the volume of the triangular prism separately and add it to the volume of the cube to find the total volume of the composite figure.

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Which is a solution of the equation 7x 5/19 * 1 point?

Answers

Therefore , As a result, the value of x is about 5.4 when x3 -10x = 100, which is the answer to the given equation problem.

Equation : what is it?

An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.

Here, the formula is written as x3 -10x = 100.

We continue testing for the value of x that is valid for x3 -10x = 100 via trial and error.

We've made multiple tries and have:

x = 5.4 (roughly) (approximately)

In x3 -10x = 100, replace x with 5.4.

5.4^3 -10 * 5.4 = 100

Evaluate

103.5 = 100

Approximate

100 = 100

Therefore , As a result, the value of x is about 5.4 when x3 -10x = 100, which is the answer to the given  equation problem.

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On solving the provided question, we can say that the equation, we have here is  7x +  5/19 => 7x = -5/19 = > x = -5/133

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation, we have here is

7x +  5/19

7x = -5/19

x = -5/133

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Analyze the function: f(x)=-x/x+2

Answers

Answer:

f (x) = -x over x+2

Step-by-step explanation: if you want to find the inverse you do f and the exponent of negative 1 (x) = - 2x over 1+x .

                                   

Proportional or nonproportional? Need answer asap

Answers

Answer:

Proportional

Step-by-step explanation:

Okay so let's do this problem. In order to figure this out we must find if the slope remains the same.

For y
61-26= 35 26-11= 15

For x
12-5= 7     5-2= 3

35/7 = 5

15/3 = 5

Since the slope remains 5 between the three points this is proportional.

What are the 5 types of math?

Answers

What are the main levels of math?

Algebra

Geometry

Trigonometry

Calculus

Statistics and Probability

Hope it Helps!

12.) There are 12 cats and 13 dogs in math class. What percent of the class are cats?

Answers

Answer:

  48%

Step-by-step explanation:

You want to know the percent of the class that is cats if there are 12 cats and 13 dogs in the class.

Percent

The percent can be found by multiplying the fraction by 100%.

  cats/class = 12/(12+13) × 100% = 12/25 × 100% = 48%

48% of the class are cats.

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Use a line of fit through (9, 80) and (15, 50) to find the equation of the line in slope-intercept form.

Answers

what is the difference between 880 and 580

Juanita heard a funny joke on Sunday. On Sunday, she told the joke to 3 friends. On Monday, each friend told the joke to 3 more friends. On Tuesday, these 3 friends told the joke to 3 more friends. Suppose this pattern continues. How long will it take for 100 people to hear the joke?

Answers

Answer:

9 × x = 100

x = 11

Therefore, it would take 11 more days.

What is the example of cardiovascular fitness and body composition?

Answers

Jogging, cycling, swimming, aerobics, rowing, stair climbing, and sports-related games are examples of cardiovascular fitness. For Body composition, the push-up is the best example.

During a physical activity like running, jogging, or doing workouts involving cardiovascular activities, the circulatory and respiratory systems of the body provide oxygen to the skeletal muscles. When oxygen reaches the muscles, the risk of cardiovascular disease is decreased.

Also, the body is able to do larger muscle exercises due to increased flexibility, and the efficiency of the respiratory system also increases. But more blood is pumped through the body due to cardiorespiratory activities is not the benefit of doing physical activities.

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Hideki buys 2 sweaters for $18 each. He can use one of the following coupons :
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal?

Answers

The coupon which gives Hideki a better deal is Coupon 2: as the total cost is: $27

The total cost of coupon 1 will be; $28.8

The total cost of coupon 2 will be; $27

For Coupon 1; Buy 1 get one 40% off.

Total cost = $18 + 60% ($18)

Total cost = $18 + $10.8.

Total cost = $28.8

For Coupon 2; 25% off entire purchase

Total cost = 75% ($18 + $18)

Total cost = 75% ($36)

Total cost = $27

:D Your Welcome!

find the measure of each angle indicated

Answers

Answer:

Use the formula sum of internal angles of a triangle is 180

in a school 21% of teachers were trained in britain and 26% of teachers were trained in usa and 15% were trained in both Britain and USA what percentage of teachers were neither trained in usa nor Britain represent using a venn diagram ​

Answers

A Venn diagram to represent the given information of a school and attached

The percentage of the teachers neither trained in USA or Britain is 68%

How to find the percentage of the teachers neither trained in USA or Britain

Since the problem is stated in percentage, the total number of teachers in the school which is the universal set is 100

15% were trained in both Britain and USA.

The number of teachers trained in Britain only

= 21% - 15% = 6%

The number of teachers trained in USA only

= 26% - 15% = 11%

The total number of teachers trained in Britain and USA

=  number of teachers trained in Britain only + number of teachers trained in USA only + number of teachers trained both Britain and USA

= 6% + 11% + 15%

= 32%

percentage of the teachers neither trained in USA or Britain

= universal set - number of teachers trained in Britain and USA

= 100% - 32%

= 68%

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What is the x -intercept?

What is the y -intercept?

Answers

Answer: (4, 0) and (0, -18)

Step-by-step explanation:

An air cannon
launches a T-shirt upward toward basketball
fans. It reaches a maximum height and then
descends for a couple of seconds until a fan
grabs it. Sketch the graph that represents this
situation.
Distance (ft)

Answers

When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.

what is graph ?

Using visual charts or representations, mathematicians utilize graphs to logically communicate facts or values. A graph point often illustrates the relationship between two or more objects. In a graph, a non-linear data structure, nodes, or vertices, and edges come together. The nodes, also known as vertices, should be adhered together. The edges of this graph, E=1, 2, 1, 3, 2, 4, and (2.5), have the following values: V=1, 2, 3, 5, (3.5). (4.5). Visual depictions of exponential development in statistics include bar charts, pie charts, line charts, and more. a triangle-shaped logarithmic graph

given

y = x( 0.4 - 0.008x)

x=0

0.4 - 0.008x =0

0.4 - 0.008x

50 = x

y = 5

When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.

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Need help with this question

Answers

On solving the question, we can say that rounded to the nearest tenth, trigonometry is 94.7.

what is trigonometry?

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations.

To find the length of TR, we can use the ratio of similarity between the two triangles. Since triangle NOP is similar to triangle RST, we know that the ratio of the corresponding sides is equal. In this case, we can set up the proportion:

(TR)/(NO) = (TS)/(OP)

We know that NO = 34 and OP = 19, and we are trying to find TR. We also know that TS = 60. We can set up the proportion and solve for TR:

(TR)/34 = 60/19

TR = (60/19) * 34

TR = 94.73

Rounded to the nearest tenth, TR is 94.7.

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How to Study Math: Algebra

Answers

Answer:

I like to take out my work (review guide, homework, etc.) and cover my answers with a piece of paper so that only the question is showing and answer the problem. Repeat for as many problems as you'd like. I hope this helps!

Step-by-step explanation:

What is the angle measure of x? (numbers only)

Answers

Answer:30 degrees

Step-by-step explanation:

S = O/H
sin-1(6/12) = 30

Determine whether the pair of sets is equal, equivalent, both, or neither.
A={computer science, calculus, algebra}
B={calculus, chemistry, computer science}
Are set A and set B equal, equivalent, both, or neither?
OA. Equivalent
OB. Both
OC. Equal
OD. Neither

Answers

The given are equivalent sets because the number of elements in the sets are equal. So sets A and B are equivalent.

What is equivalent, equal and unequal sets?Equivalent sets are sets that contain the same number of elements. For example, if set A has three elements, and set B also has three elements, then set A and set B are equivalent sets. Equal sets are sets that contain the same elements. For example, if set A has the elements {1, 2, 3}, and set B also has the elements {1, 2, 3}, then set A and set B are equal sets.Unequal sets are sets that contain different elements. For example, if set A has the elements {1, 2, 3}, and set B has the elements {4, 5, 6}, then set A and set B are unequal sets. Unequal sets may still be equivalent sets. For example, if set A has the elements {1, 2, 3}, and set B has the elements {4, 5, 7}, then set A and set B are both still equivalent sets (as they both contain three elements), but they are unequal sets (as they contain different elements).

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The point (2,−3) lies in the third quadrant.ATrueBFalse

Answers

Answer:

B. False

Pont (2, -3) lies on the fourth quadrant.

Step-by-step explanation:

You're welcome.

How do you write the symbol for greater than 1?

Answers

The symbol for greater than 1 is written as " >1".

Greater than ">" means that one number or value is larger than the other. number or value The symbol is made by your right-hand thumb and index finger, just like ">", which is known to be a "greater than" symbol. If you use this symbol to write some value is greater than 1 then you need to write 1 towards the right side of this symbol.

For example, 9 > 1. The open end of the greater than symbol is pointed at the one and it is read as '9 is greater than 1. So the symbol for any value greater than 1 is written as " >1".

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Find the value.

3 x 5²
30
225
45
75

Answers

Answer:

75

Step-by-step explanation:

3 × 5²

= 3 × 5 × 5

= 15 × 5

= 75

Answer:

75

Step-by-step explanation:

This is testing Order of Operations

PEMDAS

In this equation we see E (exponents) and M (Multiplication)

The E comes first so doing the exponent of 5^2 we get 25, because that's the same as 5 * 5

After the E is the M, so we multiple the 25 by the 3, giving you 75.

practice 5-3 concurrent lines medians and altitudes

Answers

Concurrent lines are lines intersecting a common point. Medians are lines connecting the vertex to the midpoint. Altitudes are lines perpendicular to the base of the triangle and pass through the vertex opposite the base.

Concurrent lines in a triangle refer to lines that pass through a common point, such as the centroid, which is the point where the medians of a triangle intersect. Medians are lines that connect a vertex of a triangle to the midpoint of the opposite side. Altitudes are lines that are perpendicular to the base of a triangle and pass through the vertex opposite the base. They also intersect at another point called the orthocenter. The concurrent lines, medians, and altitudes of a triangle are important concepts in geometry that are used in various proofs and problem-solving tasks.

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Your question seems to be incomplete, but I assume the question was:

"What are concurrent lines, medians, and altitudes in a triangle?"

What is 1 in exponential form?

Answers

Answer: The exponential form of 1 is 1.

In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 1. The exponential form is simply the number with exponents.

Answer:

I think 0a

Step-by-step explanation:

What are the three types of coordinates?

Answers

The three types of co-ordinates are:

(i) Cartesian co-ordinates

(ii) cylindrical co-ordinates

(iii) spherical co-ordinates

Which coordinate system is used?

Three digits are used to indicate distances in the three-dimensional flat space of the Cartesian coordinate system, often known as the "rectangular coordinate system." The East/West direction, North/South direction, and Elevation are represented by the first two digits, respectively.

The Cartesian coordinate system is a prime example of a coordinate system. Two perpendicular lines are picked in the plane, and a point's coordinates are assumed to be the signed distances between the lines.

So, three types of co-ordinates are:

(i) Cartesian co-ordinates

(ii) cylindrical co-ordinates

(iii) spherical co-ordinates

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What is the coefficient of y² in the expression 3y² 4x *?

Answers

3 is the coefficient of y² in the expression 3y²+4x

What is the term for coefficient?

A coefficient is an integer that is either printed alongside or multiplied by a variable. A coefficient, in other terms, is the numerical component of a phrase including constants and variables. For example, the coefficient in the expression 2x is 2. A coefficient is a number that has been multiplied by a variable. Coefficient examples: The coefficient in the expression 14 c 14c 14c is 14. The coefficient in the phrase g is 1.

In an expression, it is generally a number, although it may also be a letter. In the phrase ax2 + bx + c, for example, x is the variable and ‘a’ and ‘b’ are the coefficients.

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Triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.

A′(−4.5, 2)
A′(3, 3)
A′(4.5, 2)
A′(4.5, 3)

Answers

Answer:

vertex of point A′ is A′(4.5, 3)

Step-by-step explanation:

To determine the vertex of point A′ after dilation, we need to know the coordinates of point A and the scale factor of the dilation.

In this problem, point A has the coordinates (3, 2) and the scale factor of the dilation is 1.5.

To find the coordinates of the dilated point, we multiply each of the original coordinates by the scale factor:

A'(x,y) = (1.5* x, 1.5*y)

So the coordinates of the point A' are:

A'(1.53, 1.52) = (4.5, 3)

Therefore, vertex of point A′ is A′(4.5, 3)

The vertex of point A after the dilation is A′(4.5, 3)

What is dilation?

Dilation is a transformation that changes the size of a figure or an object without changing its shape.

The figure or object and its image after dilation are similar.

The size of the figure or object may increase or decrease based on a number called the scale factor.

Dilation is defined by a point called the center of dilation and the scale factor.

Given that, a triangle ABC, has been dilated by a scale factor of 1.5.

We need to determine the vertex of A',

The rule of dilation by a scale factor of k,

(x, y) → (kx, ky)

Therefore,

A'(x,y) = (1.5·x, 1.5·y)

So the coordinates of the point A' are:

A'(1.5·3, 1.5·2) = (4.5, 3)

Therefore, vertex of point A′ is A′(4.5, 3)

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-Ready
Distance in the Coordinate Plane-Quiz - Level F
Which expression represents the distance
between point J and point K?
|-9|-|-2| |-9|+|-2|
|6|-|-2|
|6|+|-9|
-10
10 y
0
-10
-J (6,-2).
K (6,-9).
I
10
X

Answers

The required distance between the points J and K is given as D = √113.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Two points, J and K have the coordinates (6,-2). and K (6,-9).
Distance between the point is given by the distance formula.
D = √[[x₂ - x₁]² + [y₂+ - y₁]²]
D = √{6 + 2}² + {-9 + 2}²
D= √64+ 49
D = √113

Thus, the required distance between the points J and K is given as D = √113.

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during delivery of a 2023 ariya equipped with propilot assist 2.0, what should you point out to your customers about the turn signal stalk? In the New Keynesian Rational Expectations model with a Taylor rule, if the central bank follows the Taylor principle, in the steady state in which nominal interest rate is zero, O A inflation is lower than the central bank's target. O B. inflation is greater than zero. OC. inflation is zero. OD. the central bank hits its inflation target. O E. inflation is higher than the central bank's target. b) Find the sum of all the numbers between 0 and 207 which are exactly divisible by 3. Two lab carts have the same mass and are free to move on a horizontal track. The carts' wheels have negligible mass. Cart 1 travels to the right at 1.0 m/s and collides with cart 2, which is initially at rest, as shown at left above. Cart 2 has a compressed spring-loaded plunger with a nonnegligible amount of stored energy. During the collision, the spring-loaded plunger pops out, staying in contact with cart 1 for 0.10 s as the spring decompresses. Negligible mechanical energy dissipates during the collision. Taking rightward as positive, the carts' velocities after the collision could be which of the following? Select two answers Cart 1 Cart 2 (A)O (B) 0.5 m/s0.5 m/s (C) -0.5 m/s 1.5 m/s (D) -1.0 m/s2.0 m/s 1. The teacher sees toddler Matthew head towards the preschool climbing tower and says,"When you are bigger, you can climb on the tower. "Guide # says: A block of ice atImage for A block of ice at0 degree C is floating on the surface of icewater in a beaker. The surface of the water justis floating on the surface of icewater in a beaker. The surface of the water just comes to the topof the beaker. When the ice melts the water level will:A. rise and overflow will occurB. remain the sameC. fallD. depend on the initial ratio of water to iceE. depend on the shape of the block of ice the total cost curve is relatively flat near the eoq. group startstrue or falsetrue, unselectedfalse, unselected. True or false? The concentration of OH in a saturated solution of Mg(OH)2 is 3.62 x 10 4M. The Ksp of Mg(OH)2 is O 2.4 x 10^-11 O 3.6 x 10^-4O 6.6 x 10^-4 O 1.3 x 10^-7 O 4.7 x 10^-11 a current of 4.91 a is passed through a cu(no3)2 solution. how long, in hours, would this current have to be applied to plate out 8.40 g of copper? Lesions of the medial preoptic area Select one: a. eliminate maternal behavior. b. hasten the effects of concaveation. c. evokes paternal behavior in rats. d. stimulates maternal behavior. loyd has almost perfect episodic memory. it is likely that his ______ is larger than most individuals and is better connected with his hippocampus. Which of the following is the appropriate way to add instruments to a sterile field?A. Hand-place the sterile instrument on the sterile fieldB. Stand close to the sterile field and open the instrument packC. Reach across the sterile field with the instrument to be addedD. Place the instrument using sterile transfer forcepsE. Place the instrument within the outer 1 inch of the sterile field a nurse is performing an admission assessment of a client who has bulimia nervosa with purging behavior. which of the following is an expected finding? Fill in the blank: ______ refers to any software that covertly gathers information about a user through an Internet connection without the user's knowledge. FILL IN THE BLANK ______ and ______ exert stronger influences on cognitive development than Piaget maintained. Three lines intersect to form six angles that measure in degrees in some of the angles are represented by expressions as shown in this. Based on the diagram write an algebraic equation that can be used to find the value of X show explain how you got your answer an estimate of the increase in an option-free bond's price, based only on its duration: 5 pts. Consider the standard biasing circuit for npn transistor using two 6V sources. Use only one rule of thumb guideline and find RE if Ico=4mA given that Rac=2 k2 and Rc is 80022 (note: Re#Rc). why are iron binding proteins considered to have antimicrobial properties? Say we want to write some information to a file using with open('stuff.txt', 'w') as outfile: for thing in things: outfile.write(thing + '\n') What type can each thing item be? Int or float only Any iterable type String, int, float, bool String only