In the middle school debate club, 60% of the members are in sixth grade. If there are 18 sixth graders in the debate club, how many total members are there? Which types of lifts require spotters?

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

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Answer:

.770

Step-by-step explanation:

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

[tex]\sf \longmapsto4x-15=3[/tex]

[tex]\sf \longmapsto4x = 3 + 15[/tex]

[tex]\sf \longmapsto4x = 18[/tex]

[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]

[tex]\sf \longmapsto x = 4.5[/tex]

Answer:

[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]

Step-by-step explanation:

[tex]4x-15=3[/tex]

[tex]4x-15+15=3+15[/tex] Add 15

[tex]4x=18[/tex]

[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4

[tex]x=\cfrac{9}{2}[/tex]

Answer:

hope this helps :)

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

Answer:

kk

Step-by-step explanation:

Answer:

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

3. This is fairly straight-forward the denominators already match so just subtract the numerators

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

6. For this we will use another LCD.

Percentage =  1% = 0.01, 10% = 0.1 and 100% = 1

Increase in percentage = 1 + percentage eg. (1  + 0.08 = 1.08)

Decrease in percentage = 1 - percentage eg. (1 - 0.08

Answer:

The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.

Answer:

1400 pounds

Step-by-step explanation:

the ring is now worth 60% of its original price

the percentage in decimal is equal: 60% = 0.6

[tex]\frac{840}{0.6} =1400[/tex]

Hope this helps

Answer:144 grams

Step-by-step explanation:normal crayons usually weigh 9g

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

Answer:

the answer is 5×9+2=47

Step-by-step explanation:

the answer is 47

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

Learn more about z-score here:

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Answer:

should be 1/4 inches away from each side

Step-by-step explanation:

all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.

since it needs to be centered, divide that by two for each side.

and 1/2 ÷ 2 = 1/4

so I got 1/4 inches on each side.

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

→ Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

Answer:

5pts

Step-by-step explanation:

Answer:

2 people per RV.

Step-by-step explanation:

24 / 12 = 2

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

Answer:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

Answer:

it's "2+6556_789*4236+8765/987"

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.