-3=x/20 (solve) (math)

the constant of proportionality (r) in the equation y = rx is 1/3

Since π/18 is greater than 0 and less than π, which is 180° in radians, this value of x satisfies the given range. Therefore, the solution to the equation cos(3x - 180°) = -√3/2, where 0 < x < 180° in radians, is x = π/18.

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

cos(3x - 180°) = cos(180° - 3x)

cos(180° - 3x) = -√3/2

-cos(3x) = -√3/2

cos(3x) = √3/2

3x = π/6

x = π/18

Since π/18 is greater than 0 and less than π, which is 180° in radians, this value of x satisfies the given range. Therefore, the solution to the equation cos(3x - 180°) = -√3/2, where 0 < x < 180° in radians, is x = π/18.

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Answer:

Number 1 does not represent a function because it does not pass the Vertical Line Test.

Number 2 does not represent a function because it does not pass the Vertical Line Test.

The solution to the equation using graph is x= -0.62 or x = 1.62.

What is equation?

A mathematical equation may be a formula that uses the equals sign to represent the equality of two expressions.

Main Body:

For \(-x^{2} +y = 1\)

We make y the subject to obtain

\(y = x^{2} +1\)

We can easily graph this function, because we just have to transform the graph \(y = x^{2}\) of  by shifting the intercept up to 1.

As for the straight line, -x +y = 2

We find the intercepts as follows,

When y = 0 , x = -2

When x = 0 , y = 2

We plot the points (-2,0)  and (0,2).

We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be

x= -0.62 or  x= 1.62

See graph

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Step-by-step explanation:

50x +5x=1550+1200

55x= 2750

x=50

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

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Answer:

6300 kg is equivalent to 6.3·10^5 g

Step-by-step explanation:

Convert 6300 kg TO g in standard form.  Recall that 1000 g = 1 kg.

                                        1000 g

Multiplying 6300 kg by ------------- results in 63·10^4, or 6.3·10^5

                                           1 kg

6300 kg is equivalent to 6.3·10^5 g.

Answer:

Your friend picked 9 more flowers

Step-by-step explanation:

Take the amount your friend picked and subtract the amount you picked

17 - 8

9

Your friend picked 9 more flowers

Answer:

3x9=27

Step-by-step explanation:

i don't know if this is what you meant

Answer:

5x 1000

Step-by-step explanation:

For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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Answer:

$1518.31

Step-by-step explanation:

Books sold = 1307

Earning from 1307 copies = $1408.4

Earning from one copy:

Earning from 1409 copies expected:

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

If y and x vary directly, the value of y=2.6 then value of x is 1.14.

The tenths place is represented by the initial digit following the decimal. The hundredths place is denoted by the digit that followed the decimal. Up until there are no additional digits, the remaining ones keep the place values filled in the quantity.

For example, 2.84620364 can be round to two decimal places as 2.85, and 0.8035 can be round to two decimal places as 0.80.

Here x and y vary directly,

So , x/y = k

Therefore K is constant

For x = 3.2 and y = 1.4

Then x/y = k

3.2/1.4 = k

K = 1.6/0.7

If y = 2.6 what is x

y = 2.6 and k = 1.6/0.7

2.6/x = 1.6/0.7

1.6x = 18.2

X = 1.1375.

Hence, the Round to two decimal places of x is 1.14

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Answer:

308

Step-by-step explanation:

For every 5 golf balls, there are 4 tennis balls.

Divide by five: for every 1 golf ball, you have 0.8 of a tennis ball.

Multiply by 385: for every 385 golf balls, there are 308 tennis balls.

The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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There is a linear relationship between the circumference and diameter from the data that was plotted on the scatter plot

An online statistical tool was used to create the plot of circumference against the plot of diameter

The scatter plot has been drawn tp show the existing relationship that exists between circumference and diameter. There is a linear relationship that is in existence between the two variables from the data that we have here. All of the points are on a straight line.

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Wondering if there was any relationship between diameter and circumference, they thought about drawing a

picture. Draw a scatter plot that displays circumference in terms of diameter.

Answer:

The answer is:-

(2x+1)(4-7)

Answer:

Investors generally use ratios to evaluate companies and make comparisons between companies within an industry. Ratio analysis simplifies the process of comparing the financial statements of multiple companies.

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Answer:

105ft per minute

Step-by-step explanation:

well, if he/she walks 7ft in 4s, then you divide 60/4. In which you get 15.

15•7=105

Answer:

They are now dead

Step-by-step explanation:

Jake Paul

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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If  Its return on sales is 5 percent. Sharpe’s return on shareholders' equity is 8.26%.

First step is to find the fixed asset

Fixed asset = $1,870,000 + $667,000

Fixed asset = $2,537,000

Second step is to find the sales

Sales = Total assets × Fixed asset turnover

Sales =  $2,537,000 × 1

Sales = $2,537,000

Third step is to find the stockholder equity

Stockholder equity =  $1,870,000 - $335,000

Stockholder equity = $1,535,000

Fourth step is to find the net income

Net income =  $2,537,000 × 5%

Net income = $126,850

Now let find the return on shareholders' equity

Return on shareholders' equity = Net income / Shareholders' equity

Return on shareholders' equity =  $126,850 /$1,535,000

Return on shareholders' equity = 8.26%

Therefore 8.26% is the return on shareholders' equity.

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Answer:

A) -22

B) 62

C) 37/7

Step-by-step explanation:

A) replace x by -2

B)replace x by 10

C) replace f(x) by 29

The system has the following solution: \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals can be used to represent the answer.

A statement in mathematics demonstrating the equality of two expressions is called an equation. Two phrases with the same value are normally separated by the equals sign (=). Finding the area of a circle and predicting planetary motion are only two examples of the many practical issues that equations are used to address.

The linear system's augmented matrix, which is determined by the matrix equation A x = b is given by:

Aequals

\(\left[\begin{array}{ccc}1&-3&4\\2&-3&2\\-3&3&4\\-7&15&-4\end{array}\right]\)

Part 2:

Aequals

Write the system's solution as a vector after solving it.

We can use Gaussian Elimination to solve this system.

Step 1:

\(\left[\begin{array}{ccc}1&1&0\\2&-1&1\\-3&0&1\\-7&8&3\end{array}\right]\)

Step 2:

Aequals

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\3&1&0\\-4&3&1\end{array}\right]\)

The system's solution is \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals represents the answer.

The matrix is,

\(\left[\begin{array}{ccc}-4\\3\\1\end{array}\right]\)

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Step-by-step explanation:

f(x) = x² - 3x + 5

f(-2) = (-2)² - 3.(-2) + 5

f(-2) = 4 + 6 + 5

f(-2) = 15

Answer:

Step-by-step explanation:

Comment

In general, f(x) can be thought of as being y. So the equation could read as "Let x = - 2" when y = x^2 - 3x + 5.

Another way of thinking of it is by saying f(-2), wherever you see an x on the right hand side, substitute the value given on the left side (in this case x = - 2

Solution

f(-2) = (-2)^2 - 3x + 5

f(-2) = 4 - 3(-2) + 5                   Combine

f(-2) = 4 + 6 + 5                        Add

f(-2) = 15

Answer:

(2+8)2-4(8)= 20-32= -12

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