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The solution of the expression -3√7r³-6√7r² is -3√7r²(r+3)

Expression:

An expression also known as the algebraic expression consists of unknown variables, numbers and arithmetic operators.

Given,

Here we have the expression -3√7r³-6√7r²

Now, we have to solve this expression step by step.

In order to solve this expression, we have to write the given expression as,

=> - 3√7r³- 6√7r²

Here the value √7 is common, so we have to take it as the common term and then rewrite the given expression as,

=> √7(-3r³-6r²)

Now, we have to take the number -3, as the common term then we get he expression like the following,

=> -3√7(r³+3r²)

Now we have to take the variable r² as the common term, then we get,

=> -3√7r²(r+3)

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Answer:

∴ x = 5

Step-by-step explanation:

(18x)° = 180° - 90° (adjacent angles on a straight line)

  18x = 90

  ∴ x = 5

Answer:

y = 100x + 400

Step-by-step explanation:

What we know:

     - You started with 400

     - You get 100 a week

What we need to find out:

 - The equation or rate to know how much money acquired in specific time

Step 1 ( of 1 ): Equation

-   if you let y represent the total of money you acquire then the equations starts as

y=

-  Then we know that we get 100 a week so let x represent the amount of weeks so

y = 100x

-  Lastly we know that we started with 400 so then we just add that to the equation to make it

y = 100x + 400

Answer:

1323.3

Step-by-step explanation:

https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.

Every positive real number has two square roots, positive and negative.

For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.

Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.

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Answer:

9

How I got the Answer:

We have,        

  p = 0.30        

   q = 1 - p = 0.70          

    n = 449

Here,

npq = 4449*0.3*0.7 = 9

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Using equation, the number of math assignment is 69 .

Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.

Using equation, the number of assignments in the math section of Brianna's binder can be calculated as follows:

She has 113 assignments in the history, science, and art sections combined.  

Let x be the number of assignments that are in math section.

There are 182 assignments in total.

Therefore,

x + 113 = 182

subtract 113 from both sides of the equation

x + 113 = 182

x + 113 - 113 = 182 - 113

x = 69

Therefore, the number of math assignment is 69.

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a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Now,

Since, The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Let the average distance of Venus from the sun = x

So, We can formulate;

⇒ 57.9 = 3.8 + x/2

Solve for x as;

⇒ 57.9 = 3.8 + x/2

⇒ 57.9 - 3.8 = x/2

⇒ x/2 = 54.1

⇒ x = 54.1 × 2

⇒ x = 108.2

Thus, The average distance of Venus from the sun = 108.2 million kilometers.

Therefore, a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

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The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.

In the given question we have to explain the standard deviation of the residual values in the regression output.

Regression analysis is a statistical technique used to demonstrate the relationship between two different variables and to assess how well one variable can be predicted based on the behaviour of another.

The standard deviation of points surrounding a fitted line or the standard error of estimate are other names for residual standard deviation.

The difference between a set of expected and observed values is known as residual standard deviation, which refers to the standard deviation of the residual values.

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Answer:

the slope is 1

Step-by-step explanation:

x1,y1=(3,-1)

x2,y2=(-3,-5)

[tex]m = y2 - y1 \div x2 - x1[/tex]

-5--1/-3-3

-6/-6

m=-6/-6

simplify the fraction -1/-1

since 2 negatives = positive

m=1/1

simplify

m=1

Answer:

A

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 and crosses the y- axis at (0, - 7 ) ⇒ c = - 7

that is the y- intercept c = - 7

0.6%  is the probability of getting a king .

What is probability ?

Probability of K from full 52 card pack = 4/52 = 1/13

Probability of A from the remaining 51 cards = 4/51

“And" in probability means you Multiply.

1/13 x 4/51 = 4/663 = 0.6%

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Answer: Simplification of Fractions.

Step-by-step explanation:

Answer:

oof try adding dem

Step-by-step explanation:

hope you git 20 points

Answer:The answer would be the A

Step-by-step explanation:

Answer:

40x + 20y < 480

Step-by-step explanation:

the inequality: 40x + 20y <(with a line under the < sign)480

The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.

All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20

Factors of -12= -/+(1,2,3,4,6,12)

Factors of 20= -/+(1,2,4,5,10,20)

So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)

Solving for x when f(x) = 0,

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

Equating all factors to zero, we get

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x = i, x = -i

Hence, the rational roots are x = 3/4, x = -4/5.

The given question is incomplete, the complete question is

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?

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Answer:

1) The new price would be $595

2 )The discount is $105 off

Step-by-step explanation:

1) 700 x 0.85 = 595

2) 700 x 0.15 = 105

Answer:

E

Step-by-step explanation:

they are equal to each other

Answer:

[tex]m= -2\frac{1}{13}[/tex]

Step-by-step explanation:

2m-27/3=5m

x3.             x3

2m-27=15m

-2m.     -2m

-27=13m

/13.   /13

-27/13=m

-2 1/13=m

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According to the equation it takes 6 years for the population to reach 1,458 elk.

Equation:

An equation is made up of two expressions connected by an equal sign. For example, 2x – 5 = 16 is an equation.

Given,

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year.

Here we need to find the equation that will shows the number of years, y, it will take for the population to reach 1,458 elk.

Let us consider n be the number of years take  for the population to reach 1,458 elk.

So, according to the given question, we have written as,

f(n) = 2 x 3ⁿ

Here we know that the value of f(n) = 1458, then the equation is written as,

1458 = 2 x 3ⁿ

When we simplify this, then we get,

3ⁿ = 729

We know that, 729 = 3⁶,

Therefore, it can be written as,

3ⁿ = 3⁶

Therefore, it take 6 years for the population to reach 1,458 elk.

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Answer:

-1

Step-by-step explanation:

The number never changes when you divide by 1. So -1/1=-1.

-Hope this helped

No it is not a right angled triangle.

acc to our question-

Hence, no sides are equal to 90 degrees.

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Answer:

2.543%

Step-by-step explanation:

295x1.02543=$302.50

295+2.543%=302.50

Answer: x = -2

Step-by-step explanation:

[tex]\frac{1}{6x^2} =\frac{1}{2x} +\frac{7}{6x^2}[/tex]

[tex]\frac{1}{6x^2} = \frac{3x}{6x^2} + \frac{7}{6x^2}[/tex]  (work with common denominators)

[tex]\frac{1}{6x^2} = \frac{3x+7}{6x^2}[/tex]

[tex]1 = 3x + 7[/tex] (remove the 6x^2 because they'll cancel out when you cross multiply)

[tex]-6 = 3x[/tex]

[tex]-2 = x[/tex]

Answer:

  0.4 m = 40 cm

Step-by-step explanation:

You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.

The scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.

This lets us write a proportion for the height of the model tower:

  [tex]\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}[/tex]

Logan should make his tower 0.4 meters, or 40 cm high.

Answer:

Step-by-step explanation:

Given:

N₀ = 298 pages

N = 20 pages

You can apply the formula:

Number of days

D = [N₀ / N] + 1 = [298 / 20 ] + 1 =

= [14.9] + 1 = 14 + 1 = 15 day,

where the square brackets are the integer part of the number

If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.

Total pages in the book= 298

Total pages that I daily read= 20

Then it will take 15 days to read the entire book.

The formula for this problem:

The solution to this type of problem can be figured out with the help of unitary method.

20 pages of a book can be read in = 1 day

1 page of a book can be read in = 1/20 days

298 pages of a book can be read in = 1/20×298 days = 14.9 days

But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.

15 days it will take to read the entire book.

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The distance between friend's house and home is 14.263 miles.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

What is tan?

the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given,

The distance he covered to west (base) = 17 miles

angle = 24°

tan 24°= perpendicular/base

tan 24° = perpendicular/17

p = 0.836/17

=14.263 miles.

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A) The interval(s) on which f is increasing is; (1,3) ∪ (4,6).

B) The interval(s) on which f is decreasing is; (0,1) ∪ (3,4).

(C) The interval(s) on which f is concave upward is; (0,2) ∪ (3,5).

A) A function is said to be increasing on an interval if for every point on that interval we see that the first derivative is positive. Thus, from the attached graph, we see that the function is increasing on the intervals (1,3) and (4,6).

B) If the value of the derivative f' (x) ≤ 0 of the function, then we can say that the interval is a decreasing interval. From the graph, we can say that the function is decreasing on intervals (0,1) and (3,4).

C) The graph is concave upward on the intervals (0,2) and (3,5).

D) The graph is concave downward which means convex on the interval (3,4).

e) The points of inflection are defined as the points located on a smooth plane curve that the curvature changes sign. In this graph, the points of inflection are x=3 and x=5.

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Answer:

FG≅LJ

GH≅JK

HF≅KL

Step-by-step explanation: