The 3 by 3 grid below shows nine 1 cm × 1 cm 1 cm×1 cm squares and uses 24 cm 24 cm of wire. What length of wire is required for a similar 20 by 20 grid?

Answer:

D)  [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                x² + 5 x + 8 = 4

    ⇒        [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

Step(ii):-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

  ⇒        [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Final answer:-

[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

33 students.

Step-by-step explanation:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7.

4×3:7×3

12:21

12+21=33

33 students in the class, which is between 24 and 40 students in a class.

4×2:7×2

8:14

8+14=22

22 is wrong because it has to be between 24 and 40 students in a class.

4×4:7×4

16:28

16+28=44

44 is wrong because it has to be between 24 and 40 students in a class.

4×1:7×1

4:7

4+7=11

11 is wrong because it has to be between 24 and 40 students in a class.

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

The answer is 83/4

Step-by-step explanation:

5 1/4+15.5

21/4+15.5

Taking LCM

21/4+15.5*4/1*4

21/4+62/4

83/4

Answer:

[tex]20\frac{3}{4}[/tex]

Step-by-step explanation:

=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]

=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]

=> [tex]\frac{21+62}{4}[/tex]

=> [tex]\frac{83}{4}[/tex]

=> [tex]20\frac{3}{4}[/tex]

Answer:

20

Step-by-step explanation:

To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:

3x-20=x+20

3x=x+40

2x=40

x=20

Hope this helps!

Answer:

x= 20

Step-by-step explanation:

To make the lines parallel, angle 2  would equal angle 5

3x-20 = x+20

Subtract x from each side

2x -20 = 20

Add 20 to each side

2x-20 +20 = 20+20

2x = 40

Divide by 2

2x/2 = 40/2

x = 20

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Step-by-step explanation:

Since moving it to one side can't be factored, I'm going to complete the square.

[tex]x^2+5x=8[/tex]

[tex]x^2+5x+6.25=8+6.25[/tex]

[tex](x+2.5)^2=14.25[/tex]

[tex]x+2.5=\sqrt{14.25}[/tex]

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

Answer:

picture?

Step-by-step explanation:

Answer:

Which graph represents the function r(x) = |x – 2| – 1

- The first graph  

Step-by-step explanation:

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ7

Answer:

Integers are 48, 49, 50

Step-by-step explanation:

x+(x+1)+(x+2) = 147

3x + 3 = 147

3x = 147-3

x = 144 / 3 = 48

Answer:

4

Step-by-step explanation:

2^2

Answer:

4

Step-by-step explanation:

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer:

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

Answer:

V = 672 cm³ (Option 3)

Step-by-step explanation:

Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]

Where L = 14 cm, W = 6 cm and H = 8 cm

V = 14 * 6 * 8

V = 672 cm³

Answer:

The area of the now-enlarged shape quadruples. The units are the same; square units.

Step-by-step explanation:

The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.

When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).

Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.

For example, if the shape was a rectangle.

A = L × B

When enlarged, new L = 2L, new B = 2B

new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.

A circle

A = πr²

When enlarged, new R = 2r

new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.

Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.

Hope this Helps!!!

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

Answer:

Option (3)

Step-by-step explanation:

Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.

[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]

First term of this series 'a' = 6

Common ratio 'r' = 2

We have to find the sum of 4 terms of this infinite series (n = 4).

Sum of n terms of a geometric series is,

[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]

[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]

    [tex]=\frac{6(16-1)}{(1)}[/tex]

    [tex]=90[/tex]

Therefore, sum of 4 terms of the given series will be 90.

Option (3) will be the answer.

Answer:

93%

Step-by-step explanation:

caculator

Answer: D

Step-by-step explanation:

The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).

Answer:

Brainliest!

Step-by-step explanation:

took 5 minutes to drain at a rate of 300 gallons per minute

this means there were 1500 gallons that need to be drained

it is now draining at a speed of 500 gallons per minute

1500/500 = 3

so its 3 minutes

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.