M is the midpoint of the segment. Find the length of CG

Answer:

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=x^3-1[/tex]

[tex]0=x^3-1[/tex]

[tex]0=(x^2+2x+1)(x-1)[/tex]

[tex]x-1=0[/tex]

[tex]x=1[/tex] <-- Real Solution

[tex]x^2+x+1=0[/tex]

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

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions

Answer:

  3 - x

Step-by-step explanation:

In math, "the difference between A and B" usually means ...

  A - B

In English, it often means ...

  |A - B| . . . . the positive difference

__

"The difference between 3 and x" can be written as the expression ...

  3 - x

1. 9p - 9p = -8 - 7

0 = - 15

2. 6x + 12 = 6x - 18

6x - 6x = - 18 - 12

0 = - 30

That's what I got

Answer:

Step-by-step explanation:

Something missing in "noticed that of the apples."  Perhaps "that 40% of . . .?"

But I'll try to answer, using an example:  

Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.

To find the total number of apples, X:

(0.30)X = 45

X = 150 apples total.  45, or 45/150, is 0.3 0r 30%.

Answer:

it means you replace y with 18 so

33(18)

so 33*18=594

Hope This Helps!!!

Answer:

594

Step-by-step explanation:

33y

33(18)

33 x 18 = 594

Answer:uh 2 divide 1.19 and add 12 i think

Step-by-step explanation:

A) Total number of old plans = 3500 + 4700 = 8200

In the new month, the unlimited plans increased by 55%, which adds

0.55 • 3500 = 1925

unlimited plans, while the limited plans decreased by 25%, which subtracts

0.25 • 4700 = 1175

limited plans. Then

Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950

which corresponds to a percent change of

(8950 - 8200)/8200 ≈ 0.0915 = 9.15%

That is, percent change is given by

(new value - old value) / (old value)

B) The percent change is positive, so it's a percent increase.

Answer:SORRY CANT HELP U THERE

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

28x+17=157   Subtract 17 on both sides.

       -17  -17

28x=140

x=5

5 does not equal -10, so -10 is not a solution to the equation 28x+17=157.

Hope this helps!! Have a great day :)

I did the math in the link below  

The price of the bed after the markup is $527.80.

The given parameters:

The price of the bed after the discount of 30% is calculated as follows;

P = $580 - 0.3($580)

P = $406

The price of the bed after the markup is calculated as follows;

P = $406 + 0.3(406)

P = $527.8

Thus, the price of the bed after the markup is $527.80.

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Answer:

m / 6/7 = 5/6

m = 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of m and 6/7 is 5/6:

Answer:

D)

Step-by-step explanation:

The answer would be D. The slope of a line is how fast it climbs. Height divided by base. Up divided by over. Thus, if it goes across 3 and up 1, its slope would be 1/3. If it goes across 1 and up 2, the slope is 2. If it goes across 1 and up -1, the slope is -1.

HOPE THAT HELP YOU MARK ME BRINILYLIST

Answer:

i think 24 cm² is answer good luck

Answer:

see explanation

Step-by-step explanation:

Mabel has (x + 6) pears , then Nelson has

[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

After Donovan gives Mabel 6 pears, she has (x + 6) pears.

If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,

⇒ (x + 6) / 3

Simplify the equation, then we have

⇒ (x + 6) / 3

⇒ x / 3 + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)

complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)

hopefully this helps! :)

Answer:

1. complementary

2. neither

3. supplementary

4. complementary (x = 6)

10x + 30 = 90         x + 3 = 9          x = 6

5. supplementary (x = 20)

4x + 40 + 3x = 180       7x = 140       x = 20

6. x = 50.5

2x + 79 = 180     2x = 101       x = 50.5

Step-by-step explanation:

When the measurement of the angles adds up to 90 degrees, the angles are complementary. When the sum of the angles is 180 degrees, then they are supplementary.

Answer:

45

Step-by-step explanation:

I think so i dont know

Answer:

45

Step-by-step explanation:

Just do the regular number sequence (1-44) but add 1 since this specific sequence starts with 2.

Answer: 5 kilometers.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Have a great day!! :)

Answer:

b

Step-by-step explanation:

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

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Answer:

I would say not valid

Step-by-step explanation:

well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject

Answer:

no I'm pretty sure it's wrong

Step-by-step explanation:

the y intercept for that to right us -4

Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

The dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

The given parameters are:

Assume the dimensions of the container are: x, y and z.

The volume (V) would be:

[tex]V = xyz[/tex]

Substitute 480 for V

[tex]xyz =480[/tex]

And the objective cost function would be:

[tex]C =8xy + 6xz + 6yz[/tex]

Differentiate the cost function using Lagrange multipliers

[tex]8x + 6z = \lambda xz[/tex]

[tex]8y + 6z = \lambda yz[/tex]

[tex]6x + 6y = \lambda xy[/tex]

Divide equation (1) by (2)

[tex]\frac{8x + 6z}{8y + 6z} = \frac{\lambda xz}{\lambda yz}[/tex]

[tex]\frac{8x + 6z}{8y + 6z} = \frac{x}{y}[/tex]

Factor out 2

[tex]\frac{4x + 3z}{4y + 3z} = \frac{x}{y}[/tex]

Cross multiply

[tex]4xy + 3yz = 4xy + 3xz[/tex]

Evaluate the like terms

[tex]3yz = 3xz[/tex]

Divide both sides by 3z

[tex]y = x[/tex]

Divide the first equation by the third

[tex]\frac{8y + 6z}{6x + 6y} = \frac{\lambda yz}{\lambda xy}[/tex]

[tex]\frac{8y + 6z}{6x + 6y} = \frac{z}{x}[/tex]

Factor out 2

[tex]\frac{4y + 3z}{3x + 3y} = \frac{z}{x}[/tex]

Cross multiply

[tex]4xy+3xz = 3xz + 3yz[/tex]

Cancel out the common terms

[tex]4xy = 3yz[/tex]

Divide both sides by y

[tex]4x = 3z[/tex]

Make z the subject

[tex]z =\frac{4}{3}x\\[/tex]

So, we have:

[tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]

Recall that:

[tex]xyz =480[/tex]

Substitute [tex]y = x[/tex] and [tex]z =\frac{4}{3}x\\[/tex]

[tex]x \times x \times \frac 43x = 480[/tex]

So, we have:

[tex]\frac 43x^3 = 480[/tex]

Multiply both sides by 3/4

[tex]x^3 = 360[/tex]

Take the cube roots of both sides

[tex]x = \sqrt[3]{360}[/tex]

Recall that:

[tex]y = x[/tex]

So, we have:

[tex]y = \sqrt[3]{360}[/tex]

Also, we have:

[tex]z =\frac{4}{3}x\\[/tex]

So, we have:

[tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

Hence, the dimension of the container of this size that has the minimum cost is [tex]x = \sqrt[3]{360}[/tex], [tex]y = \sqrt[3]{360}[/tex] and [tex]z =\frac{4}{3} \sqrt[3]{360}[/tex]

Read more about Lagrange multipliers at:

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Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

According to the chain given, the percentages associated with not getting into their first-choice college are:

Hence:

[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]

The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]

0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer: 0.2273

Step-by-step explanation: because it says so <3

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

In this case, we have:

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

Read more about linear functions at:

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The expression for the Perimeter of rectangle is 16w-4.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

length  = 5w-2

width = 3w

Perimeter of the rectangle = 2(length+width)

Perimeter = 3w+3w+(5w-2)+(5w-2)

= 6w+10w-4

= 16w-4

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The common denominator is 1

Given the expression:

Find the LCM of the numerator to have:

Simplify both the numerator and the denominator to have:

[tex]= \dfrac{\frac{b-a}{ab} }{\frac{1}{ab} }\\= \frac{b-a}{ab} \times ab\\=\frac{b-a}{1} \times 1 \\=\frac{b-a}{1}[/tex]

From the result, we can see that the common denominator is 1

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Answer:

here is the correct answer for edge2022

Step-by-step explanation:

Answer:

Solution is (x+7)(x+8)

Step-by-step explanation:

1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)

2) (x+7)(x+8)

I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.