Hybrid cars have lower operational cost and reduce Green House Gases
GHG when journeys are made on a frequent basis.
The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.Reasons:
The given parameters are;
The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds
The price per gallon of gasoline = $2.454Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.
Amount of GHG produced per year by cars A = 4.4 tons
4.4 US tons = 8,800 lbs
Amount of GHG produced per year by cars A = 8.8 tons
8.8 US tons = 17,600 lbs
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]
Cost of gasoline consumed per year by car A per year is therefore;
[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76
[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]
Cost of gasoline consumed per year by car B per year is therefore;
[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52
The amount saved annually by car A compared to car B is therefore;
Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76
The amount saved on gas by the 40 MPG car = $1,079.76Learn more here:
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15 mm 4 mm 3 mm what is the surface area of the prism
Answer:
234 millimeters^2 is the answer
Step-by-step explanation:
What is the volume of an oblique square pyramid with base edges 25 ft and height 24ft?
A. 5,000 ft^3
B. 7,500 ft^3
C. 10,000 ft^3
D. 15,000 ft^3
Check the picture below.
The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?
Answer:
x = - 1Step-by-step explanation:
The vertex is given (-1, 4).
The axis of symmetry is a vertical line and passes through vertex.
Since the x- coordinate of vertex is - 1, the line of symmetry is x = - 1.
Answer:
x=-1
Step-by-step explanation:
Parabola is symmetric on both sides of the vertex
The axis of symmetry is the x coordinate of vertex
Here the vertex is (-1,4)
So axis of symmetry is x=-1
3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?
Pls help and show me how to do it
Answer:
45
Step-by-step explanation:
If he uses 2/6 of a liter thats 3 days for 1 liter.
3 x 15 is 45. so 45 days
what is the trend of the graph of the equation y = 3x + 10
Answer:
3x+y-10
Step-by-step explanation:
please Mark my answer in brainlist
Work out the area of the parallelogram.
13 cm
790
21 cm
Answer:
Step-by-step explanation:
please try to provide a more accurate information 13cm of what? 790?
Answer:
The area of parallelogram can be found by product of its base and height. The calculations are shown below:
Step-by-step explanation:
We know that,
Area of parallelogram = base × height
assume base to be 21 cm.
Then,
sin 79° = [tex]\frac{height}{13}[/tex]
∴ height = 13 × 0.98 = 12.74
Area of parallelogram = 21 × 12.74
= 267.54 [tex]cm^{2}[/tex]
The area of parallelogram is calculated as 267.54 [tex]cm^{2}[/tex]
4 4/6 + 3 7/8 = ? ........................................
Answer:
[tex]8\frac{13}{24\\}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]
[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]
1. Which of the following functions could match the graph shown below?
a. f(x)= 2x
b. f(x) = 2 + x
c. f(x) = x + 0.5
d. f(x) = 0.5x
2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?
a. 20070=t
b. 70200=t
c. 20 = 7t
d. 200 = 70t
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
a. An object travels 500 feet for 100 seconds.
b. An object travels at 500 miles per hour for 100 hours.
c. An object travels 500 miles at a rate of 100 miles per hour.
d. An object travels 100 inches per minute for 500 minutes.
We want to answer different things regarding linear equations.
The answers are:
1) d2) b 3) a and c.1) We want to see which function matches the given graph.
So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.
We also can see that it passes through the point (2, 1).
Then we have that:
1 = a*2 + 0
1/2 = 0.5 = a
So the linear equation is:
y = 0.5*x
Here the correct option is d.
2) We know the relation:
distance = speed*time
So any permutation of these values can be used to find the time.
Then the option that can not be used to find the travel time is:
b) 70/200 = t
Because in this case, we are taking:
speed/distance = time
And that is incorrect.
3) We have the formula:
500 = 100*x
Again, using:
Distance = speed*time
The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:
a and c.
If you want to learn more, you can read:
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1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)
Answer:
(-5,3)
Step-by-step explanation:
for a function, an x input produces a y output.
the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.
The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.
State of Water Temperature (°F)
Freezing Point 32
Boiling Point 212
Find the freezing point and boiling point of water in degrees Celsius.
a. freezing point:
°C
b. boiling point:
°C
The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.
Answer:
Both of the freezing points would be °C
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.
(a) What is the probability that you need to contact four people?
(b) How many students from the college you expect to contact until you find one lives within five miles of you?
(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?
(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?
(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?
How to do this five questions ? thanks
Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
55% of the students live within five miles of you, thus [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence, since [tex]q = 1, p = 0.55[/tex]:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence, since [tex]n = 5, p = 0.55[/tex]:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
If you get this right i'll give u 40 :)
Answer:
1.NO 2. Yes
Step-by-step explanation:
Answer:
The first and second one is no
Step-by-step explanation:
(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25
1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26
Hi , what is sun helppp pls
Answer: sun are the main light source
Step-by-step explanation:
Answer:
What is sun ?
»The Sun is a star. It is a huge, spinning, glowing sphere of hot gas.In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
hole?
25.6°
39.4°
64.3°
65.0°
Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lenghts and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Hence, in this problem, we have that:
[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]
[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]
[tex]x = \arcsin{0.6344}[/tex]
x = 39.4º.
Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:
A = 180 - (115 + 39.4) = 25.6º.
More can be learned about the law of sines at https://brainly.com/question/27174058
#SPJ1
Answer:
25.6
Step-by-step explanation:
I got it right
Due tomorrow: Answer using steps
Answer:
22.6/62 = 0.364 is the answer
Refer to the attachment
When Li Juan's auto yard is filled to capacity with only cars, it has 60 cars. When it is filled to capacity with only vans, it has 50 vans. Which linear equation models the number of cars, c, and vans, v, that could be in Li Juan's auto yard when it is filled to capacity? А c/60 + v/50 =1 B. 60c + 50v =1 C. c/50 + v/60 =1 D. 50c + 60v =1
The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1
A linear equation is in the form:
y = mx + b;
where m is the rate of change, b is the initial value of y and y, x are variables.
Let c represent the number of cars and v represent the number of vans.
Hence when it is filled to capacity:
c/60 + v/50 = 1
The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1
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The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.
Answer:
100 101 102 103 104 105
Step-by-step explanation:
im kinda confused
Please can some one help me please
Answer:
a)3
b)33
Step-by-step explanation:
a)10% is the same as 10/100 so 30/100=0.3 x 10= 3
b) 3+30 = 33
Function or not functional pls help
Answer:
It is a function.
Step-by-step explanation:
Each input goes to exactly one output. Therefore, this is a function.
3x + 3y = 9
-3x + 2y = 1
Answer:
X=1
Y=2
Step-by-step explanation:
put 1 in for X
3(1)+3(y)=9
-3(1)+2(y)=1
now put 2 for Y
3(2)+3(2)=9
-3(1)+2(2)=1
3•1= 3
3•2=6
3+6=9
-3•1=-3
2•2=4
-3+4=1
Solve for r.
17r–13r=20
r=
Answer:
Step-by-step explanation:
Solve for r.
17r–13r=20
4r = 20
r = 20 : 4
r = 5
What is the elapsed time from 11:34 A.M. to 12:06 P.M.?
Answer:
12hrs and 32 minutes
Step-by-step explanation:
because the same am time to pm time is exactly 12 hrs and 11:34am is 26 minutes away from 12am so you can 26 minutes to get to 12am then 12am is 12hrs away from 12pm so you add 12hrs and now you are at 12pm at 12pm you add 6 minutes to get to 12:06pm which is a total of 12hrs and 32 minutes
I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
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Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
1. If she eats 2 servings of granola, how many calories does she eat?
calories
2. If she wants to eat 1050 calories of granola, how many servings should she eat
servings
3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.
Answer:
1. 700 calories
2. 3 servings
3. c = 350s
Step-by-step explanation:
1. 5 servings = 1,750 calories
divide by 5 on both sides
1 serving = 350 calories
multiply both sides by 2
2 servings = 700 calories
2. 1 serving = 350 calories
1050 calories = 350 calories X 3
3 servings = 1,050 calories
3. 1 serving = 350 calories
# of calories = 350 per serving
c = 350s
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
Need help please need help
Answer:
b.y=4
c. x=6
These are the answers hope this helps
Answer:
sorry cant help
Step-by-step explanation:
If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]
[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]\mathrm{Plug\:the\:points}[/tex]
[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]
[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]
[tex]\sqrt{11^2+0}[/tex]
[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]
[tex]=11[/tex]
A square is 3 inches by 3 inches. What is its area
Answer:
9
Step-by-step explanation:
Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)
what is the domain of the relation below?
Answer:
The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:
Answer:
A - {-1, 0, 1, 3}
Step-by-step explanation:
the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain