Simplify this fraction to the lowest terms 14/12

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Explanation :

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We know,

[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

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Here,

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Substituting the values in the formula :

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times3.14 \times {\bigg(7 \bigg)}^{3} }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 343 }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 343}{3} }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4308.08}{3}}}}[/tex]

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[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = 1436.02 }}}[/tex]

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Therefore,

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2,   the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4   or call it

g(x) = (x-3)^2 + 4  if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.

Answer:

B. 46 ft²

Step-by-step explanation:

Two sides are rectangles 3.1 ft by 5 ft.

One side is a rectangle 5 ft by 3 ft.

area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)

area = 46 ft²

Answer:

12.6 = c

Step-by-step explanation:

The Pythagorean therom is a^2 + b^2 = c^2

We already know 2 varibles (12 and 4) so we can just plug them in.

12^2 + 4^2 = c^2

144 + 16 = c^2

160 = c^2

[tex]\sqrt{160}[/tex] = [tex]\sqrt{c^2}[/tex]

12.6 = c

Hope this helps :)

su masa atómica es de 4 creo

Answer:

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

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Additional comment

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

Answer:

  y = 1.36x

Step-by-step explanation:

There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:

  y = 1.36x

Answer:

37 5/7

Step-by-step explanation:

use formular it will be 2pie -22/7 ×radius

since we have been given only radius it will be

2×22/7×6=37 5/7

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex] \qquad \tt  \dashrightarrow \: 2\pi{r}^{} [/tex]

where, r = radius

Now, let's calculate it ~

[tex] \qquad \tt  \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 12\pi\: \: m[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex] \qquad \tt  \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 37.68\: \: m[/tex]

[tex] \qquad \tt  \dashrightarrow \: c \approx 37.7\: \: m[/tex]

Answer:

-4 < x < -1 or x > 1 (the third option)

Step-by-step explanation:

hope this helps

The different recital programs that are possible is 80,730 ways

Permutation has to do with arrangement while combination has to do with the selection.

According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.

The number of ways this can be done is given as:
[tex]27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730[/tex]

Hence the different recital programs that are possible is 80,730 ways

Learn more on combination here: https://brainly.com/question/11732255

x is equal to 3 ..

Step-by-step explanation:

hope this helps

Answer: 4,000

Step-by-step explanation:

The only logical choice there because of the rate of others

Answer: c is the answer

Step-by-step explanation:

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

[tex]ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457[/tex]

Answer:

  385.6 m²

Step-by-step explanation:

The surface area of a prism is the sum of the surface areas of each of the faces. A triangular prism has two triangular faces and three rectangular faces. The areas of the rectangular faces will have a total equal to the perimeter of the triangle times the height of the prism.

__

  Area = 2×triangle area + lateral area

  = 2(1/2)(bh) +PH

  = (16 m)(5.6 m) + (6 +15 +16 m)(8 m)

  = 89.6 m² +296 m² = 385.6 m²

The surface area of the triangular prism is 385.6 square meters.

_____

Additional comment

In the above formula, we have used ...

Answer:

y = (4/3)x

Step-by-step explanation:

Two points on the line are the origen (0, 0) and the given (9, 12).

Starting at the origin and moving to (9,  12), we see the change in x being 9 and that in y being 12.  Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.

Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or

just y = (4/3)x

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

Step-by-step explanation:

it is 300,000 for a 3 day contract

I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.

This means that, using the Pythagorean identity,

cos(x) = + √(1 - sin²(x)) = 4/5

tan(x) = (-3/5) / (4/5) = -3/4

Recall the double angle identities:

sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25

cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25

tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7

Answer:

$318

Step-by-step explanation:

6% x 300 = 18

300 + 18 = 318

[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]

[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]

[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]

[tex] {tan}^{2} (a)[/tex]

Answer:

[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]

[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Answer:

B. 6 cookies

Step-by-step explanation:

Given :

Number of chocolate chip

Answer:

27 bricks

Step-by-step explanation:

find the perimeter of the first one, 4 x 3 = 12. Then the perimeter of the second one, 5 x 5 = 25. Therefore 12 + 15 = 27. Meaning you need 27 bricks

Answer:

8√3

Step-by-step explanation:

Let a, b = the positive numbers, and the sum = s,

(1)---- ab = 192

(2)--- a + b = s

Since we want to find the minimum sum, we'll have to substitute one of the variables (either a or b) from (1) to (2), I'll choose b,

From (1), b = 192/a

Substitute b = 192/a into (2),

s = a + 192/a

Now, we are able to use a concept of calculus (maximum & minimum) to solve it, just remember 2 steps in finding the values of x in maxima minima question:

1) find dy/dx

2) Find x from dy/dx = 0

ds/da = 1 - 192/a²

When ds/da = 0,

1 - 192/a² = 0

a² = 192

a = ±√192

a = 8√3 , -8√3

Since a is positive, a = 8√3

Substitute a into (1),

b = 192/(8√3)

b = 8√3

Therefore, the two positive numbers are 8√3... and 8√3

Answer:

P=90°

R=45°

Step-by-step explanation:

PQR=180°

180°-45°=135°

R=45°(iscoles triangle)

P=90°

Answer: 4 (4x + 7)

Step-by-step explanation:

4 ( 4x + 7)

4 is the greatest number divisble by both 16 and 28 so 4 is factored out of the equation

Answer:

multicultural

Step-by-step explanation:

Answer:

A. Multicultural

Step-by-step explanation:

It shows later in the sentence that they ate Thai noodles and Egyptian falafel those come from different cultures so it must be multicultural

Answer:

The answer should be 15, since each week the number goes up by 15.

I see a pattern here! Let me show you - multiply 15 by the week number (1, 2, 3, 4, ...), and you have y.

For example, 15 x 3 (for week 3) is 45, as shown by the y value.

So all we must do is multiply 15 by 5, and voila! We'll have our answer. Which, by the way, is 75.

I hope this answers your question!

-Toremi

Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.