3(x+2)=5x-7
Work out value of x

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:

[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]

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

To learn more about equations click :

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#SPJ2

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

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:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

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.

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.

Answer:

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

Step-by-step explanation:

-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:

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:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

Answer:

.770

Step-by-step explanation:

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

Solution :

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  [tex]1.84 x 3 = 5.52[/tex]

Step-by-step explanation:

[tex] \\ {5400} \div 300000[/tex]

[tex] \\ = \frac{5400}{300000} [/tex]

[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]

[tex] \\ = \frac{9}{500} [/tex]

[tex] \\ = 0.018[/tex]

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

Answer:

D) 13.7

Step-by-step explanation:

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:

thanks

Step-by-step explanation:

Using the given percentage, it is found that there is a 0.877 = 87.7% probability that it arrives on time.

In this question, over a large number of flights, 87.7% arrive on time in Atlanta. Hence, there is a 0.877 = 87.7% probability that it arrives on time.

For more on probabilities, you can check https://brainly.com/question/15536019

Algebraic inequalities can be solved in the same way in which algebraic equations are solved.

Answer:

B. 17/102,27/108 do not for proportion

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.

First part

Second part

Reasons:

The amount of roast beef = 2  and 3/4 lb

The amount of turkey = 1 and 7/8 pounds

The quantity of salami = 2 1/16 pounds

The amount of meat that goes with a sandwich = 1/4 pounds

[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]

The number of roast beef sandwiches that can be made = 11 sandwiches

[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]

The number of turkey sandwiches that can be made = 7 sandwiches

[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]

The number of salami sandwiches that can be made = 8 sandwiches

The total number of whole sandwiches = 11 + 7 + 8 = 26

The total number of whole sandwiches that can be made = 26 sandwiches

The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]

Therefore;

The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0

[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]

[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]

Learn more about fractions here:

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Answer:

100,000 × 1,000,000 = 1.E11

Answer:

100000000000

Step-by-step explanation:

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

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: