Answer:
When using the number line, you represent subtraction of a negative number with an arrow going to the right. The direction of the arrow indicates the movement of the number line towards the positive side, which is the opposite of the direction of a negative number. Subtraction of a negative number is equivalent to addition of a positive number, so the arrow going to the right represents the addition of the absolute value of the negative number. For example, if you are subtracting -5 from 10, you can represent this on a number line by starting at 10 and drawing an arrow to the right that goes 5 units, ending at 15.
Answer:
When using the number line to represent subtraction of a negative number, you would represent it with an arrow going to the right (or in the positive direction).
For example, let's say you want to represent the following subtraction on a number line:
5 - (-3)
You can start at 5 on the number line and then move to the left by 3 units, since you are subtracting a negative number. However, instead of leaving the arrow pointing to the left to represent the subtraction, you can turn it around and point it to the right, which is the positive direction. This means that you end up at a point that is 8 units to the right of 0 on the number line, which represents the answer of 8.
So, the arrow would go to the right to show the subtraction of a negative number on the number line.
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in each of three 4-credit courses, a C in a 2-credit course, and a D in a 3-credit course?
Answer:
2.8
Step-by-step explanation:
To calculate the GPA of the student, we first need to calculate the total number of grade points earned by the student. We can do this by multiplying the number of credits for each course by the corresponding grade point value and then adding up the results:
A in a 3-credit course: 4 x 3 = 12 grade points
B in each of three 4-credit courses: 3 x 4 = 12 grade points each, for a total of 3 x 12 = 36 grade points
C in a 2-credit course: 2 x 2 = 4 grade points
D in a 3-credit course: 1 x 3 = 3 grade points
Total grade points earned = 12 + 36 + 4 + 3 = 55
Next, we need to calculate the total number of credits earned by the student:
A in a 3-credit course = 3 credits
B in each of three 4-credit courses = 3 x 4 = 12 credits
C in a 2-credit course = 2 credits
D in a 3-credit course = 3 credits
Total credits earned = 3 + 12 + 2 + 3 = 20
To find the GPA, we divide the total grade points earned by the total credits earned:
GPA = Total grade points earned / Total credits earned
GPA = 55 / 20
GPA = 2.75
Therefore, the GPA of the student is 2.75.
To calculate the GPA, convert each grade into points, multiply each point value by the number of credits for that course, and add the total. Then divide the total by the total credits. Using this calculation, the student's GPA is 2.75.
Explanation:The grade point average (GPA) is calculated on the basis of the grades earned in each course and the course's credit value. First, each grade is converted into points. Then, each point value is multiplied by the number of credits for that course. Finally, the total points are added together, and the sum is divided by total credits to yield GPA.
An A in a 3-credit course gives 4 points x 3 credits = 12. A B in each of three 4-credit courses equals (3 points x 4 credits) x 3 courses = 36. A C in a 2-credit course gives 2 points x 2 credits = 4. A D in a 3-credit course gives 1 point x 3 credits = 3.
The total credits are 3 (for A) + 12 (for Bs) + 2 (for C) + 3 (for D) = 20. The total points are 12 (for A) + 36 (for Bs) + 4 (for C) + 3 (for D) = 55. Hence, the GPA is 55 total points ÷ 20 total credits = 2.75.
Learn more about GPA Calculation here:https://brainly.com/question/35267087
#SPJ3
Help Help Help Help Help Help
no
it doesn't start at (0,0)
Vildia is using 60 cards to set up a card game she wants to make an array with the same numbers of cards in each row what are all the different ways vildia could arrange the cards describe all the different ways
The amount of cards in each row is a factor of 60 in each scenario, ensuring that Vildia will utilize all 60 cards and that there will be an equal number of cards in each row.
What is combination?In mathematics, a combination is a way of selecting a subset of items from a larger set, where the order of the selected items does not matter. A combination is different from a permutation, which is a way of selecting a subset of items from a larger set, where the order of the selected items does matter.
Here,
If Vildia wants to set up a card game using 60 cards and wants to make an array with the same number of cards in each row, she could arrange the cards in the following ways:
1 x 60: In this case, Vildia would arrange all 60 cards in a single row.
2 x 30: In this case, Vildia would arrange the cards in two rows, each containing 30 cards.
3 x 20: In this case, Vildia would arrange the cards in three rows, each containing 20 cards.
4 x 15: In this case, Vildia would arrange the cards in four rows, each containing 15 cards.
5 x 12: In this case, Vildia would arrange the cards in five rows, each containing 12 cards.
6 x 10: In this case, Vildia would arrange the cards in six rows, each containing 10 cards.
10 x 6: In this case, Vildia would arrange the cards in ten rows, each containing 6 cards.
12 x 5: In this case, Vildia would arrange the cards in twelve rows, each containing 5 cards.
15 x 4: In this case, Vildia would arrange the cards in fifteen rows, each containing 4 cards.
20 x 3: In this case, Vildia would arrange the cards in twenty rows, each containing 3 cards.
30 x 2: In this case, Vildia would arrange the cards in thirty rows, each containing 2 cards.
60 x 1: In this case, Vildia would arrange all 60 cards in a single column.
Note that in each case, the number of cards in each row is a factor of 60, which ensures that Vildia will use all 60 cards and that there will be an equal number of cards in each row.
To know more about combination,
https://brainly.com/question/20211959
#SPJ1
Harold and Marie went scuba diving. Harold dove to a depth of
45 feet below sea level. Marie dove to a depth that was 15 feet
above Harold. Which equation can be used to find Marie's depth,
in feet?
A 45-15 = 30
B (-45) + (-15) = -60
C (-45) +15=-30
D 45-(-15) = 60
Answer: The answer is (A)
Step-by-step explanation:
What is the value of x? (5 points) A right angle is shown divided into two parts. The measure of one part of the right angle is 10 degrees. The measure of the other part is 2x a 20 b 40 c 45 d 85
Based on the definition of a right angle, the value of x is: B. 40.
What is a Right Angle?A right angle is an angle that measures exactly 90 degrees, or one quarter of a full circle. The symbol used to represent a right angle is a small square placed in the corner where the two lines or rays meet
Therefore, if two parts of a right angle measures 10 degrees and 2x respectively, we would have:
2x + 10 = 90
Subtract 10 from both sides:
2x = 90 - 10
2x = 80
2x/2 = 80/2
x = 40
Learn more about the right angle on:
https://brainly.com/question/101834
#SPJ1
click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.
The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.
What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.
here, we have,
Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.
Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.
Read more on months in a year;
brainly.com/question/1292807
#SPJ1
Answer please, I'll give you brainliest
Answer:
First choice
Step-by-step explanation:
Answer:
Th answer is the FIRST CHOICE(A).
Have a GOOD DAY!
https://www.a problem has been identified and data on the performance of a process are collected at the beginning of the process. these data are known as which of the following?/search?q
The data collected at the beginning of the process, after a problem has been identified, are known as baseline data.
Baseline data is used as a reference point for measuring the performance of a process before any changes or improvements are made. This allows for a comparison to be made between the initial performance and the performance after changes have been implemented, in order to assess the effectiveness of the changes.
In summary, baseline data is important for evaluating the success of a process improvement initiative and for making informed decisions about further changes.
https://brainly.com/question/29844996
#SPJ1
Fencing is sold in 8-foot sections at $15 per section. Fence posts cost $4 each. How much will it cost to build a fence around a square field which is 240 feet on each side?
It cost to build a fence around a square field which is 240 feet on each side $2040.
What is a square?
A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.
Given that fencing is sold in 8-foot sections at $15 per section and the fence posts cost $4 each.
The length of each side is 240 feet.
The perimeter of the square field is 4×240 = 960 feet.
The number of sections that need to fence the field is 960/8 = 120.
The number of posts that need to fence the field is 120.
The cost of 120 Fencing sections is 120×$15 = $1800.
The cost of 120 posts is 120 × 4 = $240.
The total cost of the fence around a square field is $1800 + $240 = $2040
To learn more about the cost of fencing, click on the below link:
https://brainly.com/question/20910814
#SPJ1
1. Assignment 1: By using the general equation N₁ = N x 2" where Nt is
the number of cells at given time (in minutes) and No is the initial
number of cells, and "n" is the number of generations at that point
(number of cell division), calculate how many cells you will have in
30, 60, 90, and 120 minutes if your bacteria has a generation time of
30 minutes and you start with 100 cells at O time.
Answer:
Step-by-step explanation:
If the generation time of bacteria is 30 minutes, it means that in every 30 minutes, the number of cells will double. Let No = 100 be the initial number of cells, and n be the number of generations at that point.
Using the given formula N1 = N x 2^n, we can find the number of cells at any given time t, in minutes.
For t = 30 minutes:
The number of generations in 30 minutes is 1 (since generation time is also 30 minutes)
N1 = 100 x 2^1 = 200 cells
For t = 60 minutes:
The number of generations in 60 minutes is 2 (since generation time is 30 minutes)
N1 = 100 x 2^2 = 400 cells
For t = 90 minutes:
The number of generations in 90 minutes is 3 (since generation time is 30 minutes)
N1 = 100 x 2^3 = 800 cells
For t = 120 minutes:
The number of generations in 120 minutes is 4 (since generation time is 30 minutes)
N1 = 100 x 2^4 = 1600 cells
Therefore, after 30 minutes, the number of cells will be 200, after 60 minutes it will be 400, after 90 minutes it will be 800, and after 120 minutes it will be 1600.
Which of the following are exponential functions? Select all correct answers. Select all that apply: □ f(x) = 16x10 □ g(x)=10x9 □ h(x) = 6(8)" j(x) = 8(2)" k(x) =-15x8
Answer:
Step-by-step explanation:
What completes this expression to make it a perfect square trinomial?
x2 + 4x + ___
x^2 + 4x + 4 is a perfect square trinomial that can be factored as (x + 2)^2.
Explanation:
To complete the expression x^2 + 4x + __ as a perfect square trinomial, we can take half of the coefficient of x (which is 4), square it, and then add it to the expression.
Half of 4 is 2, and 2 squared is 4, so we can add 4 to the expression to get:
x^2 + 4x + 4
This expression is a perfect square trinomial and can be factored as:
(x + 2)^2
find the equation of the line perpendicular to x=7 through point (4,-3)
Answer:
y= -3
Step-by-step explanation:
Because the only line that does through 4,-3 is y =-3
Hey 1+1+1+1-4 x 50 +1 =
Answer:
-195
Step-by-step explanation:
1+1+1+1-200+1
1+1+1+1-4x50+1
-195
Hopes this helps!!
I don't know if you have this answer!!
What is the exponent in the expression 4 to the power of 5?
A. 4
B. 5
C. 9
D. 20
Answer:
B. 5
Step-by-step explanation:
The expression "4 to the power of 5" can be written as 4^5. Here, 4 is the base, and 5 is the exponent. So the exponent in the expression 4 to the power of 5 is option B, 5.
Please help me a soon as possible. See the graph.
The evaluation of the limits of the piecewise function at the specified intervals are as follows;
[tex]\lim\limits_{x\to2^+}\frac{f(x) -1}{f(x + 4)} = -2[/tex]
[tex]\lim \limits_{x\to 1^-}f(f(x) + 1) = 11[/tex]
[tex]\lim\limits_{h\to 0}\frac{f(6+h) - f(6)}{h} = 2[/tex]
What is a piecewise function?A piecewise function is a function with rules or definition of the function based on the interval of the function.
The equation representing the piece wise function at x → 2⁺, can be found as follows;
Points on the graph of the function are; (3, 2), and (4, 1)
Slope of the graph of the function = (1 - 2)/(4 - 3) = -1
Equation of the function is; y - 2 = -1·(x - 3) = 3 - x
y = 3 - x + 2 = 5 - x
y = 5 - x
y = f(x) = 5 - x
f(x) - 1 = 5 - x - 1 = 4 - x
f(x) - 1 = 4 - x
f(x + 4) = 5 - (x + 4) = 5 - x - 4 = 1 - x
f(x - 4) = 1 - x
[tex]\frac{f(x) - 1}{f(x + 4)} = \frac{4 - x}{1 - x}[/tex]
[tex]\lim\limits_{x\to 2^+}\frac{f(x) - 1}{f(x + 4)} = \frac{4 - (2)}{1 - 2} = \frac{2}{-1}= -2[/tex]The coordinate points on the piecewise function at x → 1⁻ are; (0, 3), and (1, 4)
The slope of the graph is; (4 - 3)/(1 - 0) = 1
The equation is; y - 3 = x
y = f(x) = x + 3
f(f(x) + 1) = f((x + 3) + 1) = f((x + 3) + 3 + 1) = f(x + 7)
f(x + 7) = (x + 7 + 3) = x + 10
[tex]\lim \limits_{x \to 1^{-1}} f(f(x) + 1) = 1 + 10 = 11[/tex]The points on the piecewise function at x = 6 are; (5, 2), and (7, 6)
The slope is; (6 - 2)/(7 - 5) = 2
The equation is; y - 2 = 2·(x - 5) = 2·x - 10
y = 2·x - 10 + 2 = 2·x - 8
y = f(x) = 2·x - 8
f(6 + h) = 2·(6 + h) - 8 = 12 + 2·h - 8 = 4 + 2·h
f(6) = 2 × 6 - 8 = 4
f(6 + h) - f(6) = 4 + 2·h - 4 = 2·h
[tex]\frac{f(6 + h) - f(6)}{h} = \frac{2\cdot h}{h}= 2[/tex]
The limits of the function is therefore;
[tex]\lim \limits_{h\to 0}\frac{f(6 + h) - f(6)}{h} = 2[/tex]Learn more on the limits of a function here: https://brainly.com/question/30460469
#SPJ1
A car going south 35 mi/hr speeds up when the speed limit changes. It takes 0.05 hours to accelerate at a rate of 200 mi/hr2. What is the car’s final velocity?
a)The value of acceleration will be 4.8 m/s²
b)The total distance travelled is 505 m.
a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.
We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point for the car when it passes him), so our initial position is 0.
We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.
With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:
xc = vx*t
xm= 1/2*a*t²
When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :
⇒ vx*t = 1/2*a*t²
We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.
⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²
Solving for a:
a = (2* 35 m/s) / 14.5 s = 4.8 m/s²
b) Replacing the value of a in the equation for xm, we have:
xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.
Learn more about Distance travelled at:
https://brainly.com/question/24283318
#SPJ1
C) what’s the probability of a random sample of 150 bowlers will have an average score greater than 165?
The probability that a random sample of 150 bowlers will have an average score greater than 165 is 0
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).
The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.
For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2 or 0.5 or 50%, and the probability of getting tails is also 1/2 or 0.5 or 50%.
To give the probability that a random sample of 150 bowlers will have an average score greater than 165
P( [tex]\bar X[/tex]> 165) = P(z > (165 - 157)/(12/√(150)))
= P(z > 8.16)
= 0 [since from z table]
= 0
To know more about outcomes visit:
https://brainly.com/question/30661698
#SPJ1
Hello. Please, help with a question below
The Average rate of change is defined as
r{average} = Δy/Δx = (y₂ - y₁/x₂ - x₁).
What is unit rate?The rate at which one quantity changes per unit change with the other quantity is called unit rate.
Given is the average rate of change.
Average rate of change is defined as the change in the value of a quantity over the interval change in the other quantity.
Mathematically -
r{average} = Δy/Δx = (y₂ - y₁/x₂ - x₁)
Therefore, the Average rate of change is defined as
r{average} = Δy/Δx = (y₂ - y₁/x₂ - x₁).
To solve more questions on average rate, visit the link below -
brainly.com/question/25384702
#SPJ1
Answer:
what basic business principle does the author of your reading material state that automakers igno red in recent years leading to the need for an industry bailout
pelase help 6 th grade math
Step-by-step explanation:
1/2 cup per 1/4 bag goes to the less than
all the other ones should be in the greater than category
What is the solution?
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line is a measure of how steep the line is, and it is defined as the change in y divided by the change in x between any two points on the line. In other words, if we choose two points (x1, y1) and (x2, y2) on the line, then the slope of the line is:
m = (y2 - y1) / (x2 - x1)
The y-intercept of a line is the point where the line crosses the y-axis. In other words, it is the value of y when x = 0. To find the y-intercept of a line given in slope-intercept form, we simply look at the constant term (the term with no x) in the equation.
In the given equation, y = -6x - 7, we can see that the coefficient of x is -6, which means that the slope of the line is -6. This tells us that as we move along the line from left to right, the y-value will decrease by 6 units for every 1 unit that the x-value increases. In other words, the line is sloping downwards from left to right.
To find the y-intercept of the line, we look at the constant term, which is -7. This tells us that when x = 0, y is equal to -7. So the y-intercept is the point (0, -7), which means that the line crosses the y-axis at the point (0, -7).
To summarize, the slope of the line y = -6x - 7 is -6, which means that the line is sloping downwards from left to right. The y-intercept of the line is (0, -7), which means that the line crosses the y-axis at the point (0, -7).
Cual es el precio de un metro cuadrado de las fincas de café y plátano es de
The price of one square meter of the coffee and plantain farm is $0.05.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
1 hectare of the farm = $500
Now,
To determine the price per square meter of a coffee and plantain farm.
We would need to divide the cost of 1 hectare = $500 by the number of square meters in a hectare.
So,
One hectare is 10,000 square meters.
This means,
= $500 ÷ 10,000 sq m
= $0.05 per square meter
Therefore,
The price of one square meter of the coffee and plantain farm is $0.05.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ9
The complete question.
What is the price of a square meter of coffee and plantain farms?
If 1 hectare of the farm is $500.
please someone tell me why the answer is 7/8 I need working out
Step-by-step explanation:
The difference between 1 and 7/8 is 0.125
The difference between 1 and 1(1/5) is 0.2
The number closer in value to 1 is the one with a lesser difference therefore, the correct answer is 7/8
Step-by-step explanation:
[tex]1 - \frac{7}{8} = 0.125[/tex]
while:
[tex] 1 \times \frac{1}{5} - 1 = 0.2[/tex]
then: 0.125<0.2
This is about linear equations, please help me.
x - intercept of line A = (1 , 0)
x - intercept of line B = (-4, 0)
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
A line with no curve is called straight line.
Given,
Equation of line A
y = 6x - 6
for x - intercept y = 0
0 = 6x - 6
6x = 6
x = 6/6
x = 1
x - intercept = (1 , 0)
Given table of values on line B
x y
-4 0
-2 -1
0 -2
By the table, when y = 0, x = -4
x- intercept of line B = (-4 , 0)
Hence, (1, 0) is x - intercept of line A.
(-4 , 0) is x - intercept of line B.
Learn more about line here:
https://brainly.com/question/30003330
#SPJ1
The standard long jump pit is approximately 9 feet 2 inches wide and 30 feet 2 inches long. The sand to fill the pit needs to be 30 inches deep.
Someone help me figure this out please
The volume of the sand pit is V = 694.6 feet²
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangle be represented as V
Now , the length of the sand pit = 30.2 feet
The width of the sand pit = 9.2 feet
The depth of the sand pit = 30 inches = 2.5 feet
Now , the volume of the rectangular pit = L x W x H
On simplifying the equation , we get
The volume of the rectangular pit V = 30.2 x 9.2 x 2.5
The volume of the rectangular pit V = 694.6 feet²
Hence , the volume of the rectangular sand pit is 694.6 feet²
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ1
Please help with problem solving)
The cumulative frequency graph indicates that the percentage of the vehicles that go over the 30 mph speed limit is about 62.6% which more than the allowable 20%, therefore, a speed camera will have to be installed.
What is a cumulative frequency?The cumulative frequency is the sum of the frequency up to an interval. The cumulative frequency indicates the total number of observations located above or below a value.
The cumulative frequency graph indicates the value of the sum of the number of vehicles travelling at a particular speed, therefore;
The cumulative frequency of cars traveling at 20 mph = 13
Cumulative frequency of cars traveling at 10 mph = 8
The cumulative frequency if the cars travelling at 30 mph = 50
Cumulative frequency of the cars travelling at 40 mph = 59
The cumulative frequency of the cars traveling at 50 mph = 60
Number of cars that go over the 30 mph speed limit = 59 + 60 = 119
Percentage of the cars that go over the 30 mph is therefore;
((59 + 60)/(60 + 59 + 50 + 13 + 8)) × 100 ≈ 62.6%The percentage of cars that go over the 30 mph speed limit is 62.6% which is more than the 20%, therefore;
A speed camera will have to be installedLearn more on the frequency of a dataset here: https://brainly.com/question/3712144
#SPJ1
Solve the following system of equations.
2x-3y = 4
-2x+6y=-10
x = 0
y =
8 08
X
S
The solution to the system of equation 2x - 3y = 4 and -2x + 6y = -10 is (-1,-2).
What is the solution to the system of equation?Given the system of equation in the question;
2x - 3y = 4
-2x + 6y = -10
First, solve for y in equation one.
2x - 3y = 4
2x - 4 = 3y
3y = 2x - 4
Divide each term by 3
y = (2/3)x - 4/3
Now, solve the system of equation, plug y = (2/3) - 4/3 into equation two and solve for x.
-2x + 6y =-10
Plug in y = (2/3) - 4/3
-2x + 6( (2/3)x - 4/3 ) = -10
Simplify
-2x + 4x - 8 = -10
2x - 8 = - 10
2x = -10 + 8
2x = -2
x = -2/2
x = -1
Now, plug x = -1 into equation two and solve for y.
-2x + 6y = -10
Plug in x = -1
-2( -1 ) + 6y = -10
2 + 6y = -10
6y = -10 - 2
6y = -12
y = -12/6
y = -2
Therefore, the value of x is -1 and y is -2.
Learn more about simultaneous equation here: brainly.com/question/30319215
#SPJ1
What is the radius of the
circle?
C = 3.5 m
Pls help
Answer:
r≈0.56m
Step-by-step explanation:
C=2πr
r=C
2π=3.5
2·π≈0.55704m
A 120-hp automobile engine delivers only 69 hp to the driving wheels of the car. What is the efficiency of the
transmission and drive mechanism?
(Type a whole number or decimal rounded to two decimal places as needed)
Answer:
The efficiency of the transmission and drive mechanism is 57.5%, rounded to two decimal places.
Step-by-step explanation:
We can use the following formula to calculate the efficiency of the transmission and drive mechanism:
Efficiency = (Power output / Power input) x 100%
where "Power output" refers to the amount of power delivered to the driving wheels, and "Power input" refers to the amount of power produced by the engine.
Determine the power input: The problem states that the automobile engine produces 120 horsepower, so this is our power input.
Power input = 120 hp
Determine the power output: The problem states that only 69 horsepower is delivered to the driving wheels of the car, so this is our power output.
Power output = 69 hp
Calculate the efficiency using the formula:
Efficiency = (Power output / Power input) x 100%
Substituting the values we found in steps 1 and 2, we get:
Efficiency = (69 / 120) x 100%
Simplifying this expression, we get:
Efficiency = 0.575 x 100%
Efficiency = 57.5%
Therefore, the efficiency of the transmission and drive mechanism is 57.5%, rounded to two decimal places.
In a function, any input yields exactly __________ output.
Answer: one
Step-by-step explanation: