3/11 x 3 1/4 What does this equal as a fraction?

Answer:

[tex]x=\dfrac{131}{333}[/tex]

Step-by-step explanation:

Assign the decimal to a variable:

Let  [tex]x=0.\overline{393}[/tex]

Multiply both sides by 1000:

[tex]\implies x \cdot 1000=0.\overline{393} \cdot 1000[/tex]

[tex]\implies 1000x=393.\overline{393}[/tex]

Subtract the first equation from the second to eliminate the part after the decimal:

[tex]\begin{array}{r r c r}& 1000x & = & 393.\overline{393} \\\\- & x & = & 0.\overline{393} \\\\\cline{2-4} \\& 999x & = & 393 \\\end{array}[/tex]

Divide both sides by 999:

[tex]\implies \dfrac{999x}{999}=\dfrac{393}{999}[/tex]

[tex]\implies x=\dfrac{393}{999}[/tex]

Reduce the fraction:

[tex]\implies x=\dfrac{393 \div 3}{999 \div 3}[/tex]

[tex]\implies x=\dfrac{131}{333}[/tex]

Answer:

Step-by-step explanation:

We know that:

We don't know:

So, lets solve 180 - 78 - 69:

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

Learn more about Calculus: https://brainly.com/question/27746481

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Topic: Calculus

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:

Step 1

Find 20% of 200

For fraction: divide 20 by 100 and remove the % sign.

[tex]{20}\%=\frac{20}{100}[/tex]

For decimal: move the decimal point 2 places to the left and remove the % sign.

[tex]{20}\%=0.2[/tex]

Multiply the decimal or fraction by the quantity that equals 100%

[tex]100[/tex]%[tex]=200[/tex]

[tex]\frac{20}{100} *200=0.2*200=40[/tex]

20% of 200 is 40

Step 2

Find how much more or less earings did Lou sell than Jacob

40-35=5

So Lou sold 5 more rings than Jacob

Answer:

A (1,5) (1,8) (4,8) (4,5) = Square

B (2,5) (2,8) (4,8) (4,5) = Rectangle

C (2,3) (4,6) (8,6) (10,3) = Trapezoid

D (2,1) (2,5) (6,5) (6,1) = Square

Step-by-step explanation:

Just enter the coordinates into Desmos graphing calculator.

Answer:

All have an X coordinate of 0

Step-by-step explanation:

Because if a point is to be on the Y axis than it would have to not move on the x axis. Therefore the value of the X coordinate must be zero for a point to be on the Y axis. Please rate brainliest.

Answer:

it’s A and D I hope you get 100 :D

Step-by-step explanation:

coolhedgehog200 was wrong about their answer is actually All have an x-coordinate of 0, and All are directly above or below the origin. So I picked one it was wrong until I got it right myself because it was wrong so A and D are correct for those who need it in the future my names Mimi anyway byee.

Hope this helps!!

HAVE AN AMAZING DAY

Answer: I would say A because it makes the most sense

Step-by-step explanation:

Answer: 820*2*0.03=$49.20

Step-by-step explanation: Principle*rate*time=answer

Answer: the answer is 175.84

Step-by-step explanation: TSA of cylinder= pir( r + h)

= 3.14 x 4 x ( 4 + 10 )      {here diameter is 8 so radius is it's half}

= 3.14 x 4 x 14

= 175.84

Answer:

by using the formula of 2×22/7×r (r+h)

Answer:

Step-by-step explanation:

Remark

You need the information from Part A (which is correct). Then you can do Part B.

Givens

shorter base = 4

height = 2

Longer base (b) = 8

Equation

Area = (Shorter Base  + Longer Base) * h / 2            Substitute values. Solve

Solution

Area = (4 + 8)*2/2

Area = 12

keep in mind that the height or altitude of a triangle is the perpendicular distance from its base to the top.  Check the picture below.

Answer:

multiply all of the numbers then divide by 0.5

Step-by-step explanation:

Divide the arrow into upper triangle and lower rectangle

area of triangle :-

[tex] \frac{1}{2} \times base \times height[/tex]

[tex] \frac{1}{2} \times 20 \times (15 + 8 + 8) \\ \frac{1}{2} \times 20 \times 31 = 310[/tex]

area of rectangle :-

[tex]length \: \times \: width \\ 15 \times 20 = 300[/tex]

add both the area :-

area of triangle+ area of rectangle = area of arrow

310 + 300 = 610 cm²

Answer: A

Step-by-step explanation:

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

[tex] \frac{22.30}{x} = \frac{15}{100} [/tex]

2) Cross multiply

[tex]15x = 22.30 \times 100[/tex]

3) Multiple the right side

[tex]15x = 2230[/tex]

4) Divide both side by 15

[tex] \frac{15x}{15} = \frac{2230}{15} [/tex]

5) Solve the linear equation

[tex]x = 148.6666667[/tex]

Answer:

c, I believe. I'm not 100% sure.

17 is your answer

Because different between the x and 13 is equal to the 9 and 13 as shown in diagram

we can write equation

13-9 = x-13

4=x-13

x= 13+4 = 17 Ans

Answer:

9

Step-by-step explanation:

I think

b = base

h = height

A = hb / 2

A = (3*6) / 2

A = 18 / 2

A = 9 units2

Answer:

[tex]V_{composite\: figure} =678.24\: in^3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a single cylinder:

radius (r) = 3 in (Given)

height (h) = 8 in (Given)

It is given that: all the three cylinders are identical, means their radii and heights are equal.

Thus, the volume of composite figure will be equal to three times the volume of single cylinder.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

there is a small possibility that it may be C I am not even close to being sure that this is the answer and I am so sorry if this is wrong

Answer:

7

Step-by-step explanation:

A prime number is a number which has no factors other than itself and 1. In other words, this number can only be divided by itself and 1 and result in a whole number answer. All of the other choices can be divided by some other numbers and result in a whole number answer.

Factors of 12:

1, 2, 3, 4, 6, 12

Facotrs of 15:

1, 3, 5, 15

Facotrs of 7:

1, 7

Factors of 6:

1, 2, 3, 6

Answer:

The number (7) is a prime number.

Factors of 2: 1 and 2 (Verifies the above definition)

Factors of 4: 1, 2 and 4 (Verifies the above definition)

Given number: 12

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option A is not correct.

Given number: 15

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option B is not correct.

Given number: 7

Let's list the factors of this number.

The number provided is a prime number because the number has exactly two factors. Therefore, Option C is correct.

Given number: 6

Let's list the factors of this number.

The number provided is not a prime number because the number has more than two factors. Therefore, Option D is not correct.

[tex]\overline{================================================}[/tex]

Learn more about Prime and Composite numbers:

Answer:

• the rectangular prism has 4 lateral faces.

• the rectangular prism has a surface area of 254 square inches.

Step-by-step explanation:

are you sure you copied the choices right?

because as far as i know the second one, the surface area of the rectangular prism is 254 square inches.

Answer:

The rectangular prism has 4 lateral faces.

Explanation: a rectangular prism has 4 long faces.

The rectangular prism has a surface area of 254 square inches.

Explanation: use the surface area formula: A=2(wl+hl+hw)

W=7

L=9

H=4

A= 2(7*9+4*9+4*7)

A= 2(127)

A= 254 square inches

Hope this helps!

Answer:

Step-by-step explanation:

If you need an explanation for any of these, just message me.  I don't have time to write one out for all of them right now, but I can probably spare some time for 1 or 2 of them later.  Also, I don't know the answer to #4.  That is why there is a question mark there.

x>6

h=-40

200

no, you can not speak for everyone you should ask everyone at your school what their favorite sandwich is

15R+4T

-8m-2n+12

You have a 1 in 6 chance

You can assign each a one a letter A-E and have a friend pick one of the letters