The expression (3 - 7i)2 is equivalent to

Answer:

28/21

Step-by-step explanation:

28/21 is the equivalent to 4/3.

We know this is the fraction we are looking for because 28 + 21 = 49

Hope that helps!

The between treatments' degrees of freedom would be equal to 10

Degrees of freedom is a combination of how much data you have and how many parameters you need to estimate.

Given the data in the question;

A research study comparing three treatments with n = 5 in each treatment produce;

that is: n₁ = 5, n₂ = 5, n₃ = 5

T₁ = 5, T₂ = 10, T₃ = 15,

SS₁ = 6, SS₂ = 9, SS₃ = 9

∑x² = 94

First, we obtain the grand total;

G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30

N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15

Total SS =  ∑x² - ( G²/N )

we substitute

Total SS =  94 - ( (30)²/ 15 )

Total SS =  94 - ( 900 / 15 )

Total SS =  94 - 60

Total SS =  34

To get the SSbetween or Between SS;

Between SS = ∑( T²/n ) - ( G²/N )

Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )

Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )

Between SS = ∑( 5 + 20 + 45 ) - 60

Between SS = 70 - 60

Between SS = 10

Hence the between treatments' degrees of freedom would be equal to 10.

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Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]

x-3=81

Add by 3 from both sides.

[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]

Solve.

Add the numbers from left to right.

81+3=84

[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]

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

Answer:

A.  1/2.

Step-by-step explanation:

After the odd digit is taken out there are 8 digits left,

and of these 4 are even so

the answer is 4/8 = 1/2.

Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:

1. 27

2. 537.9

3. 384

4. 168.5

5. 96.3

6. 73.1

7. 357.1

8. 1,029

9. 744

Area of a circle = πr², where r is its radius.

Area of a rectangle = length × width

Where b is the height and b is the base length, area of triangle = 1/2bh.

Area = s², where s is the side length.

1. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 3² + 6 × 3 = 27 ft²

2. Area of the figure = area of circle + area of rectangle = πr² + length × width

Area of the figure = π(7²) + 24 × 16 = 537.9 ft²

3. Area of the figure = area of smaller rectangle + area of bigger rectangle

Area = 12 × 12 + 20 × 12 = 384 yd²

4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²

5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²

6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²

7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²

8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²

9. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 18² + 21 × 20 = 744 in.²

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Answer:

[tex]Y=\frac{2}{3} x +5[/tex]

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Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

⇒ total cost = 17 x 2.25

                    = $38.25

Perimeter:-

Toatl cost::

Step-by-step explanation:

Given :-

To find:-

Solution :-

Formula for perimeter of rectangular swamp = 2(L+W)

124 ft. = 2( 5x -10 + x )

124 ft. = 2(6x - 10)

124 ft. = 12x - 20

124+20 = 12x

144/12 = x

12 = x

putting the values of x

Length = 5x-10

width = X

perimeter =2L+2W or 2(L+W)

124= 2(5W-10+W)

perimeter =2( 6W-10)

124 = 12W-20

124+20=(12W+20-20

144=12W

144÷12=12W÷12

12=W

Answer:

Vertical

Step-by-step explanation:

Since both the angles are located directly opposite of each other, this is a vertical angle pair.

Answer:

$2,125

Step-by-step explanation:

Subtract: 2250-125=2125

Hope this helps! :)

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Step-by-step explanation:

AB = x + 5 ...................

Answer:

Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.

The volume of the water storage tank is the amount of space in it

The volume of the water storage tank is 6468 cubic feet

The given parameters are:

Radius (r) = 21 feet

Height (h) = 14 feet

The shape of the water storage tank is a cone.

And the volume of a cone is:

V = 1/3πr^2h

So, we have:

V = 1/3 * 22/7 * 21^2 * 14

This gives

V = 6468

Hence, the volume of the water storage tank is 6468 cubic feet

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Answer:

$4.60

Step-by-step explanation:

The area of each triangle is (1/3) of the area of the whole shape.

Area is the amount of space occupied by a two dimensional shape or object.

Ved drew the shape below by combining exactly 3 triangles of the same size and shape.

Hence:

Combined area = sum of each area = 3 * area of each triangle

The area of each triangle is (1/3) of the area of the whole shape.

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well, we can take a peek at this from the standpoint of moving from the right towards 0, but never getting there.

[tex]e^{-\frac{5}{x}}\implies \cfrac{1}{e^{\frac{5}{x}}}\qquad \qquad \stackrel{x = 1}{\cfrac{1}{e^{\frac{5}{1}}}}\implies \cfrac{1}{e^5}\qquad \qquad \stackrel{x=0.000001}{\cfrac{1}{e^{\frac{5}{0.000001}}}}\implies \cfrac{1}{e^{500000}}[/tex]

as "x" is moving towards 0, the denominator is becoming larger and ever larger, whilst the numerator is remaining the same, thus the fraction is become ever smaller, going towards = 0.

Answer:

Step-by-step explanation:

Given is the AP with

Explicit rule for the sequence is

Answer:

[tex]\sf a_n=4n+10[/tex]

Step-by-step explanation:

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

Given recursive rule:

[tex]\begin{cases} \sf a_n=a_{n-1}+4\\ \sf a_1=14\end{cases}[/tex]

Therefore, the next two values in the sequence are:

[tex]\begin{aligned} \implies \sf a_2 & = \sf a_{2-1}+4\\& = \sf a_1+4\\& = \sf 14+4\\& = \sf 18\end{aligned}[/tex]

[tex]\begin{aligned} \implies \sf a_3 & =\sf a_{3-1}+4\\& = \sf a_2+4\\& = \sf 18+4\\& = \sf 22\end{aligned}[/tex]

Explicit formula

  [tex]\sf a_n=a+(n-1)d[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\sf \implies a_n=14+(n-1)4[/tex]

[tex]\sf \implies a_n=14+4n-4[/tex]

[tex]\sf \implies a_n=4n+10[/tex]

Therefore, the explicit rule in simplified form for the sequence is:

[tex]\sf a_n=4n+10[/tex]

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Answer:

  a)  {5, 6}

  b)  {2, 3, 4, 5, 6, 7, 8, 9}

  c)  {0, 1, 7, 8, 9}

  d)  {0, 1, 2, 3, 4}

Step-by-step explanation:

The intersection of sets is the set of elements common to both. The union of sets is the set of all elements that are part of either set. The complement of a set is the set of elements in the universal set that are not in the set of interest.

__

  {2,3,4,5,6} ∩ {5,6,7,8,9} = {5, 6}

__

  {2,3,4,5,6} ∪ {5,6,7,8,9} = {2,3,4,5,6,7,8,9}

__

  U -A = {0,1,2,3,4,5,6,7,8,9} -{2,3,4,5,6} = {0,1,7,8,9}

__

  U -B = {0,1,2,3,4,5,6,7,8,9} -{5,6,7,8,9} = {0,1,2,3,4}

Answer:

This may or may not help be it might get you close.  

Answer:

50.24

Step-by-step explanation:

Area=R^2*PI

OR
Area-R*R*PI

So, Area=4*4*3.41

=50.24

Answer:

1,661.1

Step-by-step explanation:

A= 3.14 x (23 x 23)

3.14 x 529= 1,661.06

1,661.1

Answer: 600 mm

Step-by-step explanation:

Let height of her model be x meters

So,

500x = 300

[tex]\begin{aligned}&\rightarrow x=\frac{300}{500} \\&\rightarrow x=\frac{3}{5}=0.6 \text { meters } \\&\rightarrow x=0.6 \times 1000 \text { millimeters } \\&\rightarrow x=600 \text { millimeters }\end{aligned}[/tex]

Therefore, Stacy's model is 600 millimeters tall

Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

Answer:

[tex]\sf 9y^3(3-y)[/tex]

Step by step explanation:

[tex]\sf 27y^3-9y^4[/tex]

Factor out common term 9 :

[tex]\sf \implies 9(3y^3-y^4)[/tex]

Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :

[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]

[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]

Factor out common term [tex]\sf y^3[/tex]:

[tex]\sf \implies 9y^3(3-y^1)[/tex]

Apply exponent rule [tex]\sf a^1=a[/tex] :

[tex]\sf \implies 9y^3(3-y)[/tex]

Step-by-step explanation:

You know that the three lines are parallel.

There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.

We can then assume 2x+2-9=x+3

Then, to solve, you can get 2x-7=x+3

X=10

Hope this helped!

I'm a bit confused, but hope this helped again!

Answer:

no idea

is the answer

if you like my answer please like comment and mark me as brilliant

Answer:

the net change is 7

if u substitute x with

2 u get 5

3u get 12

4 u get 19

Answer:

(0,12)

Step-by-step explanation:

B.(0,12)

Answer:

B to C;60

Step-by-step explanation:

Z to X;37.5      CORRECT ME IF IM WRONG   #Carryonstudents

Answer:

  tan(S) = 12/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you the tangent ratio is ...

  Tan = Opposite/Adjacent

In the given triangle, the side opposite angle S is RT, which has length 12. The side adjacent to angle S is ST, which has length 5. Then the tangent of angle S is ...

  tan(S) = RT/ST

  tan(S) = 12/5

_____

Additional comment

The rest of the trig functions in this triangle are ...

  sin(S) = 12/13

  cos(S) = 5/13

  tan(R) = 5/12

  sin(R) = 5/13

  cos(R) = 12/13

Answer:

tan(S) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Hi there!

We are given ΔRST, where ST=5, RT=12, and RS=13

We want to find the tangent of angle S (the notation tan(S) means "tangent of angle S")

In trigonometry, tangent refers to the ratio of the opposite side/adjacent side.

The opposite side is the side that is opposite to the angle that we are referencing (in this case, angle S); in this case, that side is RT, which is 12

The adjacent side is the leg that is adjacent to the opposite side; in this case, that side is ST, which we were given as 5

Therefore, tan(S) will be [tex]\frac{RT}{ST}[/tex], or [tex]\frac{12}{5}[/tex].

Hope this helps!