If the surface area of a cube is 54 cm2, how long is each side?

Answer:

1/2x^(-1/2) + cos(2x)

Step-by-step explanation:

I'm in AP Calc BC at the end of the year :)

Answer:

7/5

Step-by-step explanation:

12x - 15 =6 - 3x

Add 3x to each side

12x+3x - 15 =6 - 3x+3x

15x -15 = 6

Add 15 to each side

15x -15+15 = 6+15

Divide by 15

15x/15 =21/15

x = 7/5

Answer:

[tex]\boxed{x = \dfrac{7}{5}}[/tex]

Step-by-step explanation:

Given equation:

[tex]12x - 15 = 6 - 3x[/tex]

To solve for x, we need to isolate the "x" variable on one side of the equation. The constant obtained on the other side of the equation will be the solution (x).

Add 15 both sides of the equation:

[tex]\implies 12x - 15 + 15 = 6 - 3x + 15[/tex]

[tex]\implies 12x = 21 - 3x[/tex]

Add 3x both sides of the equation:

[tex]\implies 12x + 3x= 21 - 3x + 3x[/tex]

[tex]\implies 15x= 21[/tex]

Divide both sides by 15 to isolate the cooeficient from "x".

[tex]\implies \dfrac{ 15x}{15} = \dfrac{21}{15}[/tex]

[tex]\implies x = \dfrac{21}{15}[/tex]

Simplify the value of "x" as required:

[tex]\implies x = \dfrac{7 \times 3}{5 \times 3}[/tex]

[tex]\implies \boxed{x = \dfrac{7}{5}}[/tex]

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval is (29.6, 44.4).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given by:

[tex]\overline{x} = 37, s = 18, n = 25[/tex].

Hence, the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37 - 2.0639\frac{18}{5} = 29.6[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37 + 2.0639\frac{18}{5} = 44.4[/tex]

The 95% confidence interval is (29.6, 44.4).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

To simplify what the other person said:

(29.57, 44.43)

Step-by-step explanation:

Proof that this is right on Khan

Answer:

See below ↓↓↓↓

Step-by-step explanation:

1.

2.

3.

4.

Answer:

[tex]{x,y}={-2,3}[/tex]

Step-by-step explanation:

[1]    2x + y = -1

  [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

  [1]    2•(2y-8) + y = -1

  [1]    5y = 15

// Solve equation [1] for the variable  y

  [1]    5y = 15

  [1]    y = 3

// By now we know this much :

   x = 2y-8

   y = 3

// Use the  y  value to solve for  x

   x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

Answer:

Step-by-step explanation:

[1]    2x + y = -1

 [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

 [1]    2•(2y-8) + y = -1

 [1]    5y = 15

// Solve equation [1] for the variable  y

 [1]    5y = 15

 [1]    y = 3

// By now we know this much :

  x = 2y-8

  y = 3

// Use the  y  value to solve for  x

  x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 5, and a y intercept of (0,3)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept

Since we were given the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

Starting with the slope:

Substitute 5 as m into the equation

y=5x+b

Now for the y intercept:
As stated before, b is the value of y at the y intercept; in this case, b is equal to 3

Substitute 3 as b into the equation.

y=5x+3

Hope this helps!

See more on this topic here: https://brainly.com/question/22607472

Answer:

Either 6.5 or 3.60555127546

Step-by-step explanation:

Geometric mean is given by the formula :

[tex]\sqrt{a+b}[/tex] where a and b is the 2 numbers:

Substituting them in gives us :

[tex]\sqrt{3+10 }[/tex]

[tex]\sqrt{13}[/tex] = 3.60555127546

If that is wrong then it is given by the formula :  

[tex]\frac{a+b}{2}[/tex]

Substituting these values gives us:

(3+10)/2 = 13/2 = 6.5

I'm sorry for not being capable to have a sure answer but I dont want to stick to one and get it wrong so ...

Brainliest if one of the 2 is correct.

Answer:

     x(x +3) = 108

Step-by-step explanation:

The longer string is 3 inches longer than the shorter string, whose length is x. Then the longer string is (x+3), and the product of their lengths is ...

  x(x +3) = 108 . . . . . equation for finding the shorter length

__

In standard form, the equation is ...

  x² +3x -108 = 0

  (x -9)(x +12) = 0 . . . . . factored form

The values of x that make these factors zero are 9 and -12. The shorter string length is 9 inches.

_____

Additional comments

John's guitar is unusually small if its strings are 12 inches or less.

Note that factoring is accomplished by finding factors of 108 that differ by 3. This requires the same thinking process as solving the problem directly without the use of an equation. We know the product of two numbers is 108 and one is 3 larger than the other.

The difference (3) is sufficiently smaller than the product that the square root of the product (10.4) will be about halfway between the numbers. We can reasonably guess their values to be 10.5±3/2 = {9, 12}. (There is a more formal way to make this calculation by defining a variable (a) to be the average of the two lengths: Then you have (a-3/2)(a+3/2)=108, or a² = 110.25 and a=10.5. This matches our approximation.)

Answer:

There are two ways to do this depending on the information you know.

Step-by-step explanation:

In order for a quadrilateral to be a rhombus, the sides have to be of equal length, so proving that all four sides are the same length would be one way. A second way is to prove that diagonals connecting opposite corners are perpendicular bisectors (connect in such a way that they cut each other into equal pieces at right angles).

Answer:

26.0

Step-by-step explanation:

We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0

Answer:

2^16, 4^8 & 16^4

Step-by-step explanation:

=> (4^3)^2 × 4^2 = 4^6 × 4^2 = 4^8

=> 4^8 = (2^2)^8 =2^16

=> 4^8 = (4^2)^4 = 16^4

Answer:

63

Step-by-step explanation:

21*3=63

hope this helps..

Answer:

63

Step-by-step explanation:

You first convert 1/3 to 3, and division to multiplication. The equation is now  21 x 3, which is equal to 63.

Answer:

what...

Step-by-step explanation:

Answer:

2.2$

Step-by-step explanation:

22 divided by 10

Answer: prove conjectures

Step-by-step explanation:

In geometry, you can use deductive rules to prove conjectures.

Answer:

B

Step-by-step explanation:

A=2(wl+hl+hw)=2·(10·10+5.6·10+5.6·10)=424-100= 324

A=lw+l(w2)2+h2+w(l2)2+h2=10·10+10·(102)2+9.72+10·(102)2+9.72≈320

Pyramid: 320m2 - 100m2 = 220 m2

Hope this helps :)

Answer:

67.5 square units

Step-by-step explanation:

Formulae

[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]

(where b is the base and h is the height)

[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]

(where a and b are the bases, and h is the height)

Solution

We can divide this shape into a triangle and a trapezoid.

[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]

[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]

Therefore:

Area of shape = 35 + 32.5 = 67.5 square units

Area of trapezoid

Area of traingle'-

Total area:-

This teaches them the skill that is required for creating precise and accurate instructions and also has fun while learning these valuable lessons. Teaching robotics in schools facilitates students to learn how science, engineering, math, and technology work in integration. Enhances Creativity.

________________________________

Through play, educational robots help children develop one of the basic cognitive skills of mathematical thinking at an early age: computational thinking. That is, they help develop the mental process we use to solve problems of various kinds through an orderly sequence of actions.

====================================

[tex]\color{red}{\tt{Hope \ It \ Helps}} [/tex]

all you have to do is plug in the number....

1st sc: y=-30
2nd: x=-1

3rd: x=5
4th: y = 29

Answer:

1. y = -30

2. x = -1

3. x = 5

4. y = 29

Step-by-step explanation:

1. y = -10x

f(x) = 3

y = -10*3

y = -30

2. y = -2x + 1

f(y) = 3

3 = -2x + 1

-2x = 3 - 1

-2x = 2

x = 2\-2

x = -1

3. y = 6x

f(y) = 30

30 = 6x

x = 30\6

x = 5

4. y = 5x + 9

f(x) = 4

y = 5*4 + 9

y = 20 + 9

y = 29

Answer:

981.496    ft^3

Step-by-step explanation:

Volume of triangular pyramid is

 1/3  base area * height

area of a equilateral triangle base  is

 sqrt (3)/4  s^2     where s = side length

so the volume is

1/3  ( sqrt(3) / 4 ) (20^2)    *   17      ft^3

= 981.496  ft^3

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Hope this helps you!!

Please Mark me as Brainleast!!!!!!!!!!!!!

Answer:

y=(x+8)^2+7

Step-by-step explanation:

Step-by-step explanation:

[tex]56 + 51 + y = 180 \\ y = 180 - 107 \\ y = 73[/tex]

[tex]y + x + 72 = 180 \\ 73 + 72 + x = 180 \\ x = 180 - 145 \\ x = 35[/tex]

Hope it helps

A straight angle is an angle equal to 180 degrees

Solve for y

y + 51° + 56° = 180°

y = 180° - 56° - 51°

y = 73°

Total interior angle of a triangle sum ups to 180°

Solve for x

y + x + 72° = 180°

73° + x+ 72° = 180°

x = 180° - 72° - 73°

x = 35°

Answer:

Use the given functions to set up and simplify (f − g) (x).

−7x+4= −7x + 4

(f − g) (x)=f − 2 x+ 5

Step-by-step explanation:

If the campaign of Snyder’s Moving company costs $500 to execute, it has been computed that the profit will be C. $50,480.

Firstly, the customer base will be:

= 50% × [2200 - (10% × 2200)]

= 50% × (2200 - 220)

= 990

The increase in customers will be:

= 10% × 990

= 99

The additional profit will be:

= [(99 × $260) - $500] × 2

= ($25740 - $500) × 2

= $50480

Learn more about profit on:

https://brainly.com/question/19104371

Answer:

10% SB clients will move due to the promotion. The Profit will be $25,240

Step-by-step explanation:

Find the number of clients in both SB and personal:

10% x 2200 = 220

Find the number of SB clients:

(2200 - 220)/2 = 990 ( the rest of clients will be evenly splitted)

Find the number of SB clients who will move:

10% x 990 = 99

Find the profit due to the move:  (Number of ppl moved  x Average Profit - Initial Investment)

99 x $260 - $500 = $25,240

Answer:

The mean is 4

Step-by-step explanation:

15+2+4 = 21 which you can divide by 3 = 7

Answer:

Yes

Step-by-step explanation:

A right triangle has to have one 90 degree angle and all triangle angles must add up to 180 degrees.

27+63= 90

180-90= 90

So to answer your question, the triangle is a right triangle.

Answer:

Correct

Step-by-step explanation:

You're correct

[tex] \sqrt{ \frac{80w {}^{3} }{9} } = \frac{ \sqrt{80w {}^{3} } }{ \sqrt{9} } [/tex]

[tex] \frac{ \sqrt{16 \times 5 \times {w}^{2} \times w} }{3} [/tex]

[tex] \frac{4w \sqrt{5w} }{3} [/tex]

Answer:

Step-by-step explanation:

The first term shown is 11. The terms have a common difference of 15 -11 = 4.

These values let you write the recursive formula:

  [tex]a_1=11\\a_n=4+a_{n-1}[/tex]

__

The common difference is added to the previous term to find the current term.

Step-by-step explanation:

In my opinion, none. ........

64X + 5=8x

8x+5=8x solution when simplified

Answer:

OPTION I

Step-by-step explanation:

168 yd² is the answer

option i