√3(√6+√15) please simplify, thanks

The investment firm's total profit is $ 3360 and the percent profit for their total investment is 16.8%.

How to calculate percentage of a situation?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Formula for percentages: (Value/Total value) * 100

Given, amount invested in company A = $ 12,000
Amount invested in company B = $ 8000
Profit earned by company A = 14%
Profit earned by company B = 21%
Amount in profit earned from company A = (12000*14)/100 = $ 1680
Amount in profit earned from company B = (8000*21)/100 = $ 1680
Therefore total profit of the investment firm = $ (1680 + 1680) = $ 3360
Thus, the investment firm's total profit is $ 3360.
Now, percentage profit of total investment = (3360/20000)*100 = 16.8%, using available literature and formula.
Thus, the percent profit for their total investment is 16.8%

To learn more about this, tap on the link below:
https://brainly.com/question/843074

#SPJ9

Given

Equation

Procedure

The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are

The discriminant b^2 - 4ac < 0

so, there are two complex roots.

Step-by-step explanation:

The leading term is -5x^4, which tells us the highest degree of the polynomial.

The leading term in the equation tells us about the degree and whether the curve opens outwards on inwards

What is an equation in one variable?

An equation is a polynomial in one variable with a finite degree

We are given an equation

[tex]-5x^4+4x^3-6x^2+8[/tex]

In this the leading term is -5x^4

Here the coefficient is negative this tells us that the curve opens downwards. if the coefficient has been positive then the curve would open outwards.

Also from the leading term we can find out the degree of the highest variable. the degree of highest variable in this case is 4

Hence, The leading term in the equation tells us about the degree of the variable and whether the curve opens outwards on inwards

To learn more about the equation in one variable please refer

https://brainly.com/question/26310043

#SPJ13

We will ahve the following:

Given the following question:

We know the two triangles are similar

We also have the bases of the two triangles which means we can find how bigger the second triangle is, compared to the first triangle.

Given an exponential function

Therefore,

10 is the coefficient and 1/5 is the base

Answer:

10 - 3 = 7

10 - 7 = 3

Step-by-step explanation:

Answer:

A is the answer :))))))))))))))))))

Recall that the product between two rational numbers is always a rational number, and the product between an irrational number and a rational number different from zero is always an irrational number.

Also, recall that a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.

Now, notice that:

Therefore, 0.79, 0.383838..., 0.12 are rational numbers.

Now, recall that:

is an irrational number.

Therefore, the product between 0.79 and √7 is an irrational number.

Answer: Option A.

Answer:

See below

Step-by-step explanation:

1. Multiply m to get, m(s + z)/2 => (ms + mz)/2

2. Mutiply by 2 by both sides

2B = MS + MZ

3. Divide By M

2B = M(S+Z)

2B/M = S+Z

4. Minus Z

(2B/M  - Z) = S

The equation is 6.75x = 5.875y

The price will be the same for 47 Go Golf games and 54 Golf Games

Go Golf charges for the ball and club rental = $2.50

Go Golf charges per game = $4.25

Total charges for Go Golf for one game = $6.75

Golf Games charges for the ball and club rental = $3.25

Golf Games charges for two games = $8.50

Total charges for Golf Game for two games = $11.75

Per game charges = $11.75/2 = $5.875

Let x be the number of games for Go Golf and y be the number of games for Golf Games

Formulating the equation we get:

6.75x = 5.875y

Converting into fractions we get:

675/100x = 5875/1000y

27/4x = 47/8y

After cross multiplication

x/y = 57/48

x = 57 and y = 48

Learn more about linear equations:

https://brainly.com/question/13738061

#SPJ1

The probability distribution is given in the table.

The condition for the probability distribution is

1. The sum of the probability distribution is 1.

2. The probabilities value range between 0 and 1.

Condition to check the probability distribution

The sum of the probability is not equal to 1.

Hence the distribution does not represents a discrete probability distribution.

The following congruence statements a, b, e, f are correct.

Triangle congruence: If all three corresponding sides and all three corresponding angles seem to be equal in size, two triangles are said to be congruent.

When two triangles are congruent, their sides and corresponding angles are identical.

Therefore, if GHI is congruent to LMN, then GH =LM, HI=MN and GI=LN, and also angle G=angle L, Angle H=angle M, while angle I = angle N, therefore the correct answers is f) ∠M= ∠H, (a) GH = LM b) ∠L=∠G. and e)IH=NM.

Therefore, option a, b, e, f are correct.
To learn more about congruence from the given link:
https://brainly.com/question/8821296
#SPJ13

is one

the Answer:

Step-by-step explanation:

1

Let x be the number of children and let y be the number of adults.

We know that the total number of attendants was 147, then:

We also know that each child ticket cost $4 and for each adult cost $12, and the total amount collected were $1156. Then we have:

Hence we have the system:

Now we have to solve the system. To do that we solve the first equation for y:

and we plug this value into the second equation and solve for x:

Now that we have the value we can find the value of y, then:

Therefore there were 76 children and 71 adults.

Answer:

a because 8.508

Step-by-step explanation:

0.625 so it easy 0.5:0.8

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

Additional comment

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

Expression given:

To know how to graph the given expression, it is easier if we determine what it means in words. In this case, this expression means all the values above one (without including one).

We know that one is not included as it has the sing ">", if the value were included, then it would have the sing "≥" or "≤".

This is important because when you are graphing, a discontinuous line is drawn for values not included, and a continuous one for included values.

Now, we would have to evaluate if it is the independent variable (generally called x), or the dependent variable (generally called y).

Assuming that g is the dependent variable, then the graph would be like this:

However, if the variable was de independent variable, then it would look like this:

We have to note that both graphs go from 1 to bigger values.

The probability that they are the 5 oldest people in the group is 1/6.

Given that we have a group of 6 people, and we randomly select 5 of them.

We need to find the probability that they are the 5 oldest people in the group.

The total number of ways to select 5 people from a group of 6 people is given by 6C5 which is equal to 6.

This means that there are only 6 possible outcomes when we randomly select 5 people from a group of 6 people.

We know that the 5 oldest people in the group can be selected only in one way.

So, the number of favorable outcomes is 1.

Hence, the probability of selecting the 5 oldest people from the group when 5 people are randomly selected is: Probability = favorable outcomes/total outcomes Probability = 1/6

Therefore, the probability that they are the 5 oldest people in the group is 1/6.

For more questions on probability

https://brainly.com/question/25839839

#SPJ8

Answer:

42 1/6 square inches

Step-by-step explanation:

253=6x

x=42 1/6

42 1/6 square inches

:]

Answer:

Hello! The answer is A) B=3

Step-by-step explanation:

Hope I helped! Please mark brainiest if get chance.

(Ps: Are you an army?)

The inverse of the function f(x) = 10 (√x + 9) is  f⁻¹(x) = (x - 90)² / 100

Given,

The function, f(x) = 10 (√x + 9)

We have to find the inverse of the function, f⁻¹(x)

Here,

f(x) = 10 (√x + 9)

f(x) = 10√x + 90

Replace f(x) with y.

y = 10√x + 90

Swap x with y;

x = 10√y + 90

Solve for y

That is,

x = 10√y + 90

x - 90 = 10√y

(x - 90) / 10 = √y

Square both sides

((x - 90) / 10)² = √y²

(x - 90)² / 100 = y

Replace y with f⁻¹(x)

That is,

f⁻¹(x) = (x - 90)² / 100

Therefore,

The inverse for the function  f(x) = 10 (√x + 9) is  f⁻¹(x) = (x - 90)² / 100

Learn more about inverse of the function here;

https://brainly.com/question/2541698

#SPJ1

[tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{-8\leq 10-2x < 28 } \end{gathered}$} }[/tex]

Separate the inequality compound in the inequality system.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{{\left\{ \begin{array}{r}10-2x\geq -8 \\ 10-2x < 28 \ \end{array} \right.} } \end{gathered}$} }[/tex]

Order the unknown terms to the left side of the equation.[tex]\boxed{\bf{-2x < 28-10 }}[/tex]

Calculate the sum or difference.

[tex]\boxed{\bf{-2x < 18 }}[/tex]

Divide both sides of the equation by the coefficient of the invariable.[tex]\boxed{\bf{x > -\frac{18}{2} }}[/tex]

Clear the common factor

[tex]\boxed{\bf{x > -9} }}[/tex]

Order the unknown terms to the left side of the equation.

  [tex]\boxed{\bf{-2x\geq -8-10 }}[/tex]      

Calculate the sum or difference.

[tex]\boxed{\bf{-2x\geq -18 }}[/tex]

Divide both sides of the equation by the coefficient of the invariable.

[tex]\boxed{\bf{x\leq \frac{-18}{-2} }}[/tex]

Determine the sign of multiplication and division.

[tex]\boxed{\bf{x\leq \frac{18}{2} }}[/tex]

Clear the common factor

[tex]\boxed{\bf{x\leq 9}}[/tex]

[tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{x > -9 \ and \ x\leq 9 } \end{gathered}$} }[/tex]

We find the intersection.

Answer = [tex]\boxed{ \large\displaystyle\text{$\begin{gathered}\sf \bf{-9 < x\leq 9 } \end{gathered}$} }[/tex]

Given two triangles, ADB and CBD

So,

1. the measure of < D = the measure of angle < B

2. CB = AD

3. BD = DB

so, the triangle ADB is congruent to the triangle CBD by SAS [ side - angle - side ]

So, the corresponding parts are congruent :

So,

1. the measure of angle A = the measure of angle C

2. the measure of angle B = the measure of angle D

3. AB = CD

Answer:

first draw the line edges and vertical

second put the dot every no.

And put the y=2000×+4000

The area of the shaded triangle is equal to:

the base of the shaded triangle is 4 in and the height is 5 in, then:

Therefore the shaded area is 10 squared inches.

x^6

Step-by-step explanation:

I don't know how to explain but I think this is what you mean

Given:

Angle A = 120 degrees

Side opposite angle C = 150 meters

Side opposite angle B = 275 meters

Find:

Angle B

Solution:

Since we have two sides given and an included angle, we can use cosine law.

Let's look for the length of the side opposite Angle A first.

where a = length of the side opposite Angle A or side BC

b = side opposite Angle B or Side AC

c = side opposite Angle C or Side AB

A = Angle A

Since we already have the data above, let's plug it in to the formula we have.

Then, solve a.

Hence, the length of side opposite a or Side BC is approximately 373.33 meters.

Now, to solve for Angle B, we can use the sine law.

Let's plug in the value of Angle A, side BC or a, and side AC or b to the formula.

Then, solve for Angle B.

Therefore, the bearing of ship C from ship B is approximately 40 degrees. (rounded off to the nearest degree)

Given:

Total amount of hamburger meat = 5½ pounds

Let's find how many ¼ pound hamburgers could be made from 5½ pounds of hamburger meat.

To find how many pound hamburger could be made divide 5½ by ¼.

Thus, we have:

To perform the division, take the following steps:

Step 1:

Convert the mixed fraction to improper fraction

Step 2:

Flip the fraction on the right and change the division symbol to multiplication

Therefore, 22 of ¼ pound of hamburger could be made from 5½ pounds of hamburger meat.

ANSWER:

22

LM = 23; MN = 20 ; QR = 34 ; Perimeter of LMN is 60

Here, we want to find the measures

From what we have, triangle LMN is formed by joining the midpoints of the triangle PQR

From the midpoint theorem, the sides of PQR are parallel and exactly half the measure of the sides they face

For example, LM is half PR

a) LM

b) MN

c) QR

Here, QR will be twice the measure of LN

d) To find the perimeter of LMN, we have to add up the measure of the side lengths

We have this as;