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.

9514 1404 393

Answer:

  5 + 8 = 45

Step-by-step explanation:

We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.

Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.

Following this pattern, we have ...

  4 + 7 = 32

  5 + 8 = 45

_____

Additional comment

Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...

  f(1, 4) = 5

  f(2, 5) = 12

  f(3, 6) = 21

and asked to predict the value of f(5, 8).

f may be any of a variety of functions. A couple of them are ...

  f(x, y) = x^2 +4y -12

  f(x, y) = y^2 -2x -9

or ...

  f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)

Answer:

Step-by-step explanation:

First

Answer:

uhh the picture is sideways .

Answer:

it is 10x + 2

Step-by-step explanation:

Answer:

$10.71

Step-by-step explanation:

[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]

y × 35 = 3.75 × 100

35y = 375

35y ÷ 35 = 375 ÷ 35

[tex]y=10\frac{5}{7}[/tex]

y = 10.7142857143

10.7142857143 round to 10.71

Answer:

80 Hours

Step-by-step explanation:

The Salary increases 200$ per 10 hours

Answer:

80 hours

Step-by-step explanation:

2620/122=10+70=80

Answer:

∠A = 42°

Step-by-step explanation:

sin ∠A = 12/18 = 0.6667

∠A = 41.81°

Answer:

42 degrees

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

4 + 12 + 16 = 32

Use the 4, 12 and 16 ounce weights.

Answer:

Solution given:

1 pound = 16 ounces

2 pounds = 32 ounces

we have 32=4×12×16

so

the 4, 12 and 16 are ounce weights.

Answer:

Hey

Step-by-step explanation:

Answer:

Hi how are you

Step-by-step explanation:

I hope you have a wonderful day

Answer:

Step-by-step explanation:

With reference < H

perpendicular (p) = 12

base (b) = 5

so now

tangent of < H

= p / b

= 12 / 5

hope it helps :)

Answer:

The answer is C. 80%

Step-by-step explanation:

Hope this helped:)

Answer:

2/6

3/9

4/12

Step-by-step explanation:

Answer:

2, 3, 4

Step-by-step explanation:

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

Answer:

36x

Step-by-step explanation:

I believe this should be the answer. I hope it helps.

Answer:

Calm down jamal don't go pulling out the nine

Step-by-step explanation:

this is just a joke

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

Answer:

All except the one that ends with 680, so SELECT THE FOLLOWING:

✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.

✓The most likely number of pills in the next prescription that Marc fills is 40.

✓The expected number of pills in the next prescription that Marc fills is 29.5.

Step-by-step explanation:

I did it on Khan for an exam.

Answer:

The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.

Answer:

it is unlikely if it is one out of 5

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

A=2(wl+hl+hw)

l -Length  

w-Width  

h-Height

A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Answer:

12.5%

Step-by-step explanation:

change/original amount * 100= percentage change

3/24 * 100 = 12.5

Answer:

(2,-1) satisfies the inequality, but (-4,2) does not.

Step-by-step explanation:

To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.

(2,-1)

[tex]x = 2, y = -1[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(2) - 3(-1) > 4[/tex]

[tex]4 + 3 > 7[/tex]

[tex]7 > 4[/tex]

This is a true statement, which means that (2,-1) satisfies the inequality.

(-4,2)

[tex]x = -4, y = 2[/tex]

So

[tex]2x - 3y > 4[/tex]

[tex]2(-4) - 3(2) > 4[/tex]

[tex]-8 - 6 > 7[/tex]

[tex]-14 > 4[/tex]

This is a false statement, so (-4,2) does not satisfy the inequality.

The correct answer is:

(2,-1) satisfies the inequality, but (-4,2) does not.

Answer:

I would use chase bank, checking account. they have really good over draft protection.

Answer:

[tex]{\huge\red{\fbox{{E = mc² }}}}[/tex]

✏ E = mc² stands for -> Energy equals mass times the speed of light squared.

✏ On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

Answer:

✏ E = mc² stands for -> Energy equals mass times the speed of light squared.

✏ On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

Step-by-step explanation:

[tex]9 {x}^{3} {y}^{2} - 4x {y}^{4} \\ = x {y}^{2} (9 {x}^{2} - 4 {y}^{2} )[/tex]

Answer:

The volume is 40.96 cubic feet

Step-by-step explanation:

Given

[tex]V\ \alpha\ h * d^2[/tex]

Where

[tex]V = Volume\\ h = height\\ d = distance[/tex]

[tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]

Required

The volume when h = 32 and d = 4

[tex]V\ \alpha\ h * d^2[/tex]

Express as an equation

[tex]V = khd^2[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = \frac{V}{hd^2}[/tex]

Substitute [tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]

[tex]k = \frac{15.84}{22 * 3^2}[/tex]

[tex]k = \frac{15.84}{22 * 9}[/tex]

[tex]k = \frac{15.84}{198}[/tex]

[tex]k = 0.08[/tex]

To solve for V when h = 32 and d = 4, we have:

[tex]V = khd^2[/tex]

[tex]V = 0.08 * 32 * 4^2[/tex]

[tex]V = 0.08 * 32 * 16[/tex]

[tex]V = 40.96[/tex]

The volume is 40.96 cubic feet

The volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For this case, we have:
V = volume of the wood varying jointly as height of the tree and square of the distance around the trunk.

Let we take:

V will of course increase as r or h increases, and as it varies jointly, thus:

[tex]V \propto h r^2[/tex]

Let  the constant of proportionality be 'k', then:

[tex]V = kr^2h[/tex] (in cubic foot)

For case 1, it was specified that V = 15.84 cubic foot when r = 3 ft and h = 22 ft,

Putting these values gives us:

[tex]15.84 = k(3)^2(22)\\\\k = \dfrac{15.84}{198} = 0.08[/tex]

Thus, we have:

[tex]\rm V = 0.08r^2 h \: \rm ft^3[/tex]

Assuming second wood was also obtained from same kind of tree, we get the volume of the wood for h = 32 and r = 4 feet as:

[tex]V = 0.08 (4)^2 (32) = 40.96 \: \rm ft^3[/tex]

Thus, the volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]

Learn more about proportionality here:

https://brainly.com/question/13082482

Answer:

Soln,

2 has the highest frequency

Mode=2

Answer:

true

false

true

false

true

false

Step-by-step explanation: