There were 160 containers containing 4/5 liters of oil each. 1/3 liter of oil was poured out of every container. 5/8 of the containers with lesser oil were then stored in a warehouse. The rest of them were bought by Roy. How much oil did Roy buy?

Answer: feet: 1, 2, 3, 4, 5

         inches: 12, 24, 36, 48, 60

Step-by-step explanation:

There are 12 inches in a foot, therefore if you have 1 foot you have 12 inches, if you have 2 feet you have 24 inches becauase 2*12 = 24 and so on...

Answer:

x

Step-by-step explanation:

angle bac and bca need to be acute and similar in size and angle abc needs to be an obtuse angle. This is the only triangle where angle abc is obtuse.

Answer:

10 of spades

Step-by-step explanation:

4*9=36

so 9 groups of 4 is 36 cards and 2 more is 38

first is heart then spade

Answer:

9 in

Step-by-step explanation:

Side DE is equivalent to side KG

Answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx \approx \boxed{0.862854}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]

Derivative Rule [Basic Power Rule]:

Integration

Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Methods: U-Substitution and U-Solve

Special Integrals:

Step-by-step explanation:

*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.

Step 1: Define

Identify given.

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Step 4: Integrate Pt. 3

Step 5: Integrate Pt. 4

Identify variables for u-substitution for the 1st integral.

Use another variable besides u to avoid confusion with earlier substitutions.

Step 6: Integrate Pt. 5

Solve the 1st integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int\limits^{x = 1}_{x = 4} {\cos (u - e)} \, du & = \int\limits^{x = 1}_{x = 4} {\cos v} \, dv \\& = \sin v \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (u - e) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (x) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin 1 - \sin 4\end{aligned}[/tex]

Step 7: Integrate Pt. 6

To solve the 2nd integral, we use the same methods as "Step 6":

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \int\limits^{x = 1}_{x = 4} {\frac{\sin e \sin u + \cos e \cos u}{u}} \, du \\& = \sin e \int\limits^{x = 1}_{x = 4} {\frac{\sin u}{u}} \, du + \cos e \int\limits^{x = 1}_{x = 4} {\frac{\cos u}{u}} \, du \\& = \sin (e) \text{Si} (u) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (u) \bigg| \limits^{x = 1}_{x = 4} \\\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \sin (e) \text{Si} (x + e) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (x + e) \bigg| \limits^{x = 1}_{x = 4} \\& = \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) \bigg] + \bigg[ \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\\end{aligned}[/tex]

Step 8: Integrate Pt. 7

Combine our 2 integral values to obtain a final answer:

[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^{x = 1}_{x = 4} {\cos ( u - e)} \, du - e \int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du \\\begin{aligned}& = \sin 1 - \sin 4 - e \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) + \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\& \approx \boxed{0862854} \\\end{aligned}[/tex]

∴ we have evaluated the given special definite integral.

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Learn more about integration: https://brainly.com/question/27746472

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Topic: Calculus

Answer:

24 units³

Step-by-step explanation:

Formula:

Volume (V) = length (l) × width (w) × height (h)

V=3×4×2=24 units³

Answer:

the answer should be 24 units^3 because the formula for finding volume is V= lwh so we need to multiply 2 times 3 and 4 and when we do that we get an answer of 24 so a is the correct answer and have a great day.

Step-by-step explanation:

it's 3 calories per grape

57/19= 3

Answer: 3 calories per grape

Step-by-step explanation:

ur welcome

Answer: There are 227 watches.

Step-by-step explanation:

What I did was that, I added the cost of watch A and B and then divided the sum by $22,000

Answer:

18 degrees

Step-by-step explanation:

6 hours times 3 Fahrenheit every hour is 18 Fahrenheit

Answer: this answer is A

Step-by-step explanation:

Length: Length, Width:Width

Answer:

6

Step-by-step explanation:

It may be confusing to see why it would 6 instead of -6. The missing value in the X already includes the negative symbol. So if the 6 was the X value, then the negative sign would apply to the 6 making it - 6. The results would be:

⇒ [tex]-x = -6[/tex]

⇒ [tex]-6=-6[/tex]

Answer:

B) Uniform

As it is identical if you split it in half

Answer:

19.98

Step-by-step explanation:

Answer: $82

Step-by-step explanation:

F - .15F = 12.30

F = 12.3/.85 =$14.47 for full shoe price rounded down a fraction of a cent

Full Price minus 15% discount = $12.30

F - 0.15F = 12.30

F(1-0.15) = 12.30

0.85F = 12.30

Overall answer --->F = 12.30/.85 = 14.47058824

Answer:

1. 71^3 = 71 * 71 * 71 = 357,911

2. 52^4 = 52 * 52 * 52* 52 = 7,311,616

3. 99^5 = 99 * 99 * 99 * 99* 99 = 9,509,900,499

4. 78^4 = 78 * 78* 78* 78 = 37,015,056

5. 8^2 = 8 * 8 = 64

6. 80^5 = 80 * 80 * 80 * 80 * 80 = 3,276,800,000

7. 98^1 = 98 = 98

8. 15^1 = 15 = 15

9. 7^3 = 7 * 7 * 7 = 343

10. 55^4 = 55 * 55 * 55 * 55 = 9,150,625

11. 67^1 = 67 = 67

12. 50^4 = 50 * 50 * 50 * 50 = 6,250,000

Answers:

1)  71^3 = 71 * 71 * 71 = 357,911

2)  52^4 = 52 * 52 * 52* 52 = 7,311,616

3)  99^5 = 99 * 99 * 99 * 99* 99 = 9,509,900,499

4)  78^4 = 78 * 78* 78* 78 = 37,015,056

5)  8^2 = 8 * 8 = 64

6)  80^5 = 80 * 80 * 80 * 80 * 80 = 3,276,800,000

7)  98^1 = 98 = 98

8)  15^1 = 15 = 15

9)  7^3 = 7 * 7 * 7 = 343

10)  55^4 = 55 * 55 * 55 * 55 = 9,150,625

11)  67^1 = 67 = 67

12)  50^4 = 50 * 50 * 50 * 50 = 6,250,000

Answer:

It would be 1/4 or 25%

Step-by-step explanation:

done this before

Answer: 1/3

Step-by-step explanation:

The correct answer to this question is a 1/3.

Hope this helps a lot of people (please like and give brainliest)!

Answer: 5 1/2 pies as a mixed number, 11/2 as an improper fraction, 5.5 as a decimal, 550 as a percent  

Step-by-step explanation:

2x5+1         11

-----------=    -----

2                  2

The fraction 5 1/2 is equal to 5, plus 1 divided by 2 which is equal to 5, plus 0.5 which is equal to 5.5 in decimal

5.5 x 100 = 550 percent

Given statement: Susan is buying 5 and a half pies from the market.

We already know:

Therefore, the number of pies Susan bought is;

∴ Half can be written as ½

If a whole number is being added to a fraction, we can combine them to convert the sum into mixed fraction.

Therefore, 5 ½ is the fraction of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In mixed fraction: Susan is buying 5 ½ pies from the market.

To convert the mixed fraction of pies into improper fraction, simply multiply the whole number by the denominator and add the numerator to the product of the whole number and the denominator. The denominator in the mixed fraction will remain the same in the denominator.

Therefore, 11/2 is the fraction of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In improper fraction: Susan is buying 11/2 pies from the market.

Clearly, we can rewrite 11/2 as;

10/2 results in getting 5 and 1/2 results in getting 0.5. Therefore,

Therefore, 5.5 is the decimal of pies, Susan bought.

Given statement: Susan is buying 5 and a half pies from the market.

In decimal: Susan is buying 5.5 pies from the market.

Simply multiply the decimal by 100 to determine the percentage of pies bought by Susan.

⇒ 5.5 pies = 5.5 x 100% = 550%

Therefore, 550% is the percent of pies, Susan bought.

Answer: 94.54 m^2 (square meters)

Step-by-step explanation: The formula for the area of a trapezoid is A = 1/2(a+b)h; where a and b are the two top sides of the trapezoid that are parallel. Let us then solve.

Let us combine both sides two maintain the overall side for "b", which is 18 + 5.1 = 23.1

Let us now add both sides (a + b.) 23.1 + 9.5 is 32.6. We can now multiply by the height. 32.6 multiplied by 5.8 is 189.08

We can now divide (or multiply by 1/2), which is 189.08 * 1/2 or 189.08/2 and that equals 94.54.

Step 1

Find the area of the Rectangle in the middle

To find the area, you have to do [tex]Length*Width[/tex]

[tex]9.5*5.8=55.1[/tex]

The area of the Rectangle in the middle is 55.1m²

Step 2

Find the area of the triangle on the right

To find the area of 1 triangle, we have to use the formula show below:

[tex]A=\frac{1}{2}* Base *Height[/tex]

Base = the part on the bottom

Height = How high the triangle is

[tex]A=\frac{1}{2} *5.1*5.8\\=\frac{1}{2} *29.58\\=14.79[/tex]

The area of the triangle on the right is 14.79m²

Step 3

Find the area of the triangle on the left

Using the formula that we used in the last question about finding the area of the triangle, we can find our answer, here is the formula:

[tex]A=\frac{1}{2}* Base *Height[/tex]

Base = the part on the bottom

Height = How high the triangle is

BUT, before finding the area of this part of the triangle, we have to first find the dimensions, we know the height, but we don't know the base, so to find the base, we will subtract 18 by 9.5 to get our base

[tex]18-9.5=8.5[/tex]

So the base of the triangle on the LEFT is 8.5m

NOW, we can find the area of the triangle on the left

[tex]A =\frac{1}{2}* 8.5*5.8\\=\frac{1}{2} *49.3\\=24.65[/tex]

So the area of the triangle on the LEFT is 24.65m²

Step 4

Add up all the areas to get final answer!

The areas of the 3 shapes are...

55.1m²

14.79m²

24.65m²

Answer:

61/2

Step-by-step explanation:

Answer:

40 ft. branliest maybe? Have a great day!

Answer:

At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula for finding area of a triangle:

[tex]A = \frac{1}{2} *B*H[/tex]

A = Area

B = Base

H = Height

Find the answer using the formula:

[tex]A = \frac{1}{2} *25*10\\=\frac{1}{2} *250\\=125[/tex]

Hence, the area of that triangle is

(not sure why this is not one of the choices, but this is the RIGHT answer)

The first thing we must do for this case is to calculate the area of both yards.

We have then:

front yard:

A1 = (50) * (80)

A1 = 4000 feet ^ 2

Back yard:

A2 = (10) * (30)

A2 = 300 feet ^ 2

"Jayden wants to lay sod on his front yard and on half of his back yard"

Then, the total amount will be:

A = A1 + (1/2) A2

Substituting:

A = 4000 + (1/2) (300)

A = 4000 + 150

A = 4150 feet ^ 2

Answer:

jayden needs to purchase 4150 square feet of sodd

Answer:

Its an area equation. Area is length times width.

So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.

Now for the easy part. Take the 4000 and add 200. Answer? 4,200.

Answer:

Is not evenly divisible by 382

Step-by-step explanation:

would equal 47.75 (THIS IS ASSUMING DECIMALS ARE NOT EVENLY DIVISLBLE!!!!)

Answer: See in the explanation

Step-by-step explanation:

The domain is all of the X values in a set.  

The range is all of the Y values in a set.

You can tell if a set of coordinate pairs is a function if each x value corresponds to 1 Y value. For example, lets say we have an x value of 3. This X value can only correspond to ONE y value. So if the x value 3 corresponded to , e.g, 4, or 7 as y values, it would not be a function because 1 x value has to have only 1 y value. 

a. {(0,9), (8, 1), (-1, 9), (9, 8), (1, -1)}

* This relation is a function, because there aren't many of the same x value numbers.

* The domain is {0, 8, -1, 9, 1}. Those are all of the X values

* The range is {9, 1, 9, 8, -1} (All of the Y values)

b. {(62, -3.1), (61, -3.1), (60, -3.1), (-3.1, -3.1)}

* This relation is a function, because even though all of the y values are the same , the x values are different.

* The domain is {62, 61, 60, -3.1}.

* The range is {-3.1, -3.1, -3.1, -3.1}

c. {(123,876), (-15, 2.6), (2.6, -15), (123, 1), (-87, -0.98)}

* This relation is a function, because all of the X values are different

* The domain is {123,876, -15, 2.6, 123, -87}

* The range is {0, 2.6, -15, 1, -0.98}

d. {(2.9, 0), (2.9, 1), (2.9, 2), (2.9, 3)}

* This relation is not a function. All of the x values are the same, and for this reason, they all have different y values.

* The domain is {2.9, 2.9, 2.9, 2.9}

* The range is {0, 1, 2, 3}

Hope this helps :)) Brainliest would be appreciated :D