Which of the following equations is equivalent to S= xi?n?
On-S-xr2
S
Golf
S
On-$+$12
Answer:
umm to me its 2--%456
Step-by-step explanation:
The standard gasoline engine for the 2017 Toyota Corolla includes the following data: Configuration: In-line four-stroke, four-cylinder engine Bore: 3.17 in Stroke: 3.48 in Compression ratio: 10.6:1 Assuming an ideal Otto cycle to describe this engine. Consider the working fluid to be air, modeled as an ideal gas with variable specific heat. Determine: (a) The total engine volume VBDC for all cylinders (cu.in). (b) The mass of air (lbm) contained in the engine assuming ambient conditions of 540 R and 14.7 psia. (c) The efficiency of the engine (%). The maximum temperature that occurs during the cycle is 3600 R.
Answer:
a) The total engine volume is 30.3265 in³
b) the mass of air contained in the engine is 0.00129 lbm
c) The efficiency of the engine is 55.6%
Step-by-step explanation:
Given the data in the question;
The configuration is in line with four-stroke, four-cylinder engine.
Bore ( d ) = 3.17 in
Stroke ( L ) = 3.48 in
compression ratio ( r ) = 10.6 : 1
First, we calculate the swept Volume V₁ = π/4 × d²L
we substitute
V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³
Now, Compression Ration; r = Vs + Vc / Vc
r = (V₁ + V₂) / V₂
we substitute
10.6 = (27.4655 + V₂) / V₂
10.6V₂ = 27.4655 + V₂
10.6V₂ - V₂ = 27.4655
9.6V₂ = 27.4655
V₂ = 2.861 in³
So
a) total engine volume
[tex]V_{BDC[/tex] = V₁ + V₂
we substitute
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³
[tex]V_{BDC[/tex] = 30.3265 in³
Therefore, The total engine volume is 30.3265 in³
b) The mass of air
given that; T = 540°R, P = 14.7 psia
we know that; PV = mRT { R is constant }
we solve for m
m = PV / RT
we substitute
m = (14.7 × 30.3265) / ( 0.3704 × 1728 )540
m = 445.79955 / 345627.648
m = 0.00129 lbm
Therefore, the mass of air contained in the engine is 0.00129 lbm
c) The efficiency
from table { properties of air}
At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32
Now process 1 - 2 ( Isentropic ) u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = V₁/V₁ = r
so, u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r
144.32 / u[tex]_r[/tex]₂ = 10.6
u[tex]_r[/tex]₂ = 144.32/10.6
u[tex]_r[/tex]₂ = 13.61
Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R
Now, we know that;
P₁V₁/T₁ = P₂V₂/T₂ ⇒ (P₁/V₁)r = P₂/T₂
⇒ ( 14.7 / 540 )10.6 = P₂/1340
P₂ = 386.664 psia
process 2 - 3; constant volume heat addition;
Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449
so, [tex]q_{in[/tex] = u₃ - u₂
we substitute
so, [tex]q_{in[/tex] = 721.44 - 235 = 486.44 BTU/lbm
Next, process 3 - 4; Isentropic
u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r
u[tex]_r[/tex]₄ / 0.6449 = 10.6
u[tex]_r[/tex]₄ = 6.8359
At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm
∴
Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm
so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]
[tex]W_{net[/tex] = 486.44 - 215.96
[tex]W_{net[/tex] = 270.48 BTU/lbm
so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%
η[tex]_{thermal[/tex] = ( 270.48 / 486.44 ) × 100%
η[tex]_{thermal[/tex] = ( 0.55604 ) × 100%
η[tex]_{thermal[/tex] = 55.6%
Therefore, The efficiency of the engine is 55.6%
53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z
(50 pts will mark brainliest) The perimeter of a rectangle is 48 inches. The width of the rectangle is 4 inches more than 3 times the length of the rectangle. What are the dimensions of the rectangle?
Answer:
The rectangle is 5 inches long by 19 inches wide.
Step-by-step explanation:
Let's start by listing what we know:
The perimeter of a rectangle is 48 inches.The width of the rectangle is 4 inches more than 3 times the length of the rectangle.Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.
[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]
Now, let's solve the system of equations using substitution:
[tex]2w + 2l = 48[/tex]
[tex]2 (3l + 4) + 2l = 48[/tex]
[tex]6l + 8 + 2l = 48[/tex]
[tex]8l + 8 = 48[/tex]
[tex]8l = 40[/tex]
[tex]l = 5[/tex]
The length of the rectangle is 5 inches.
Now, let's use this to solve for the width.
[tex]w = 3l + 4[/tex]
[tex]w = 3(5) + 4[/tex]
[tex]w = 15 + 4[/tex]
[tex]w = 19[/tex]
The width of the rectangle is 19 inches.
Let's check our work:
[tex]2w + 2l = 48[/tex]
[tex]2(19) + 2(5) = 48[/tex]
[tex]38 + 10 = 48[/tex]
[tex]48 = 48[/tex]
The results match, so our answer is correct.
The rectangle is 5 inches long by 19 inches wide.
Can you help me worth 16 points if your help me all the way
Step-by-step explanation:
120=2/5t
120×5/2=t
t=600/2
t=300
hope it helps u
What is the image point of (5,-4)(5,−4) after a translation left 4 units and down 3 units?
Answer:
(1,-7)
Step-by-step explanation:
1) (5,-4). 4 units to the left will be (1,-4)
2) (1,-4). 3 units down will be (1,-7)
please dont answer if you are not 100% sure.
Make sure you answer both parts and be detailed in your explanation.
a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.
b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.
Answer:
a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.
2x + 8 = 2(x + 4)
2x + 8 = 2(x) + 2(4)
2x + 8 = 2x +8
2x + 8 - 8 = 2x + 8 -8
2x = 2x
2x/2 = 2x/2
x = x
So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.
----------------------------------------------------------------------------------------------------------------
b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.
3x + 7 = 3(x + 7)
3x + 7 = 3(x) + 3(7)
3x + 7 = 3x + 21
3x + 7 - 7 = 3x + 21 - 7
3x = 3x + 14
3x/3 = 3x/3 +14
x = x + 14
However, this is false. x cannot be equal to itself plus 14.
x ≠ x + 14
The simplification of this equation is untrue, so there is no solution to it.
----------------------------------------------------------------------------------------------------------------
I hope this is helpful :) Good luck
How many faces does a triangular pyramid have?
A. 3
B. 6
C. 4
D. 5
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
C. 4.
thanks hope it helpsBRAINLIEST if correct
Answer: The area of rectangle U is 12.
Step-by-step explanation:
We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.
JKLM is a rectangle. Find the value of x.
Help me fast please
Answer:
x = 10
Step-by-step explanation:
3x + 38 = 7x - 2
subtract 3x from both sides ogf the equation:
38 = 4x - 2
add 2 to each side:
40 = 4x
divide both sides by 4:
x = 10
Pls help i'll give brainlest
Answer: B. 183 cm^3
V = pi r^2 h/3
V = pi (5^2) (7/3)
V = pi (25) (2.33)
V = 183
Answer:
B.183 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume of cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
where h=7 and r=5 (because r=d/2, where d=10)
V=[tex]5^{2}\frac{7}{3}\pi[/tex]
V=25·[tex]\frac{7}{3} \pi[/tex]
V=175/3[tex]\pi[/tex]
V=183.2595715 or 183 [tex]cm^{3}[/tex]
A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?
Answer:
70 cm
Step-by-step explanation:
Answer:
70 cubic feet
Step-by-step explanation:
First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:
2*5=10
Next multiply 10 by the 7 feet tall. You can write this like:
10*7=70
70 cubic feet is the answer
Define the following terms using your own words. (2-3 sentences only)
1. Frequency
2 Class size
3. Ogive
4. Variance
5. Range
Answer:
Frequency: the rate at which something occurs over a particular period of time or in a given sample.Class size :Class size is the average number of students per class, calculated by dividing the number of students enrolled by the number of classes..O give :Ogive is the curve which is constructed by plotting cumulative frequency data on the graph paper, in the form of a smooth curve.Variance: The term variance refers to a statistical measurement of the spread between numbers in a data set. Range: The range, the difference between the largest value and the smallest value.Mercedes can select from 2 types of apples and 3 types of pears. If she randomly selects 1 apple and 1 pear, how many possible choices does she have?
answer:
2,3
2,2
2,1
1,2
1,1
1,3
Those are the possible choices of selecting apples and pears.
If she randomly selects 1 apple and 1 pear then the possible choices are 6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that, Mercedes can select from 2 types of apples and 3 types of pears.
Mercedes randomly selects 1 apple and 1 pear.
We need to find the number of possible choices does she have.
(2,3)(2,2)(2,1),(1,2)(1,1)(1,3)
The probability of choosing 1 apple from 2 apples will be 1/2.
The probability of choosing 1 pear from 3 pears will be 1/3.
Now the probability of choosing a apple and a pear will be
1/2×1/3
1/6
Hence, If she randomly selects 1 apple and 1 pear then the possible choices are 6.
To learn more on probability click:
https://brainly.com/question/11234923
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Please look at the images below. (I will mark you as Brainliest if you are correct!)
Answer:
ima say its a that is my lucky guess im sorry if you get it wrong
i need help with these problems, thanks
1. C
2. A
3. B
Hope This Helped!
(Brainliest will be appreciated)
Answer:
1- distributive property
2- Subtraction.
3- -3/2
Step-by-step explanation:
1- When the given equation is given, the 4 outside the parenthesis multiplied with the variable x and number 1. This process of multiplication between a number and all the variables in parenthesis is called known as the distributive property.
2- As it was adding with 2x on the left side when it passed with Inverse Operation to the right side, its sign change to subtraction.
3- The 2 passes to the other side of the equation with Inverse Operation, therefore dividing. The -3, otherwise, as it didn't move to the other side, has no effect and remains the negative.
Pre-Test
Active
1
2
3
4
10
The quotient of (x4 + 5x - 3x – 15) and a polynomial is (x3 - 3). What is the polynomial?
x? + 5x6 - 6x4 - 30x3 + 9x + 45
x-5
x + 5
x7 + 5x + 6x4 + 30x3 + 9x + 45
Answer:
x5
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
EDGE 2023
1. If the spinner below is spun once, find each
probability.
Answer:
I don't know what kind of questions is this but first you need to show your spinner
consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities. Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation. What is the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. (0.812, 0.833) (0.806, 0.839) (0.81, 0.835) (0.816, 0.829)
Answer:
(0.806, 0.839)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that [tex]n = 3653, \pi = \frac{3005}{3653} = 0.823[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839[/tex]
The answer is (0.806, 0.839)
Which of the following could cause a 32 oz bag of chips to not weigh exactly 32 oz?
Answer:
you eat 1 chip
Step-by-step explanation:
eat 1 chip and you get 31 oz
Write 53 minutes to 4 hours as a ratio.
Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
53:240
Step-by-step explanation:
Turn the hours into minutes since the minutes can't change to hours.
What number must be added to -9 to equal +4?
Answer:
[tex]13[/tex]
Step-by-step explanation:
let the unknown number be x
[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)
0.015 in fraction
=[tex]\frac{15}{1000}[/tex]
Simplified is
=[tex]\frac{3}{200}[/tex]
Answer:[tex]\frac{3}{200}[/tex]
Can someone please help me I will mark u brilliant
Answer:
The answer is 7/20 miles.
Step-by-step explanation:
Just multiply 7/6 x 2/5, then you have the answer
Step by step explanation!
Answer:
yhe picture is blur.
Step-by-step explanation:
Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4
OOOO
A. I
B. II
C. III
D. IV
Next
Save and Exit
Answer:
A. I
Step-by-step explanation:
The other person is wrong and I took the test
find the cost of 72 books at 5.75
Answer: $414
Step-by-step explanation:
Total of books= 72
Cost of each book= $5.75
72(5.75)= $414
What is the equation of this line?
Y=3x
Y=3
Y=-3
X=3
need help.
The scatter plot and line of best fit below show the length of 9 people's femur (the long leg bone in the thigh) and their height in centimeters. What is the meaning of the xx-value on the line when y=160y=160?
Answer:
c
Step-by-step explanation:
The true statement is (d) The expected height of 160 cm when the femur length has a length of 42.5 cm
How to interpret the scatter plot?From the given figure, we have:
x values represents the femur length in centimetersy values represents the height in centimetersSo, when the y value is 160, the x value is:
The expected height of 160 cm when the femur length has a length of 42.5 cm
Hence, the true statement is (d)
Read more about scatter plots at:
https://brainly.com/question/6592115
