Identify the degree of rotation from the origin.


Please help guys

Answer:

a

Step-by-step explanation:

domain is based on x values in the front

range is based on y values in the back

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

For more such question on index. visit :

https://brainly.com/question/15361818

#SPJ8

Answer:

The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution

Step-by-step explanation:

Here, we are interested in finding the number of liters of each solution the chemist have to make use;

Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y

Mathematically;

x + y = 5 •••••••••(i)

Also, let’s work with the percentages now

( x * 5%) + (y * 10%) = (5 * 7%)

0.05x + 0.1y = 0.35 ••••••••(ii)

From i , x = 5-y

Substitute this into ii

0.05(5 -y) + 0.1y = 0.35

0.25 - 0.05y + 0.1y = 0.35

0.25 + 0.05y = 0.35

0.05y = 0.35 -0.25

0.05y = 0.1

y = 0.1/0.05

y = 2

But x + y = 5

x + 2 = 5

x = 5-2

x = 3

Answer: 15 gallons .

Step-by-step explanation:

Step 1

4 quarts = 1 gallon

therefore 60 quarts = (60 quarts x 1 gallon) / 4 quarts

= 15 gallons .

Step 2-- The converted amount which is 15  has fewer units than the original which is 60.

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

To know more about Frequency related questions, visit:

https://brainly.com/question/28104726

#SPJ1

6y=3x²—1

3x²—1=6y

x²—1/3=2y

x—1/9=4y

X=4y+1/9

Answer:

6y-3x^2+1

6y÷-1 -3x^2÷-1 +1÷-1

-6y+3x^2-1

3x^2-6y-1

Answer: y= 2x - 5

Step-by-step explanation: lmk if u need explanation to solve

Answer:

b= 60

c=30

Step-by-step explanation:

every triangle is equal to 180°

180°-90=90

b=90-60=30

c=30

Percentage of defective products 21 by 3.9% and got 0.82%.

A percentage is a number or ratio expressed as a fraction of 100.

A percentage is a dimensionless number, it has no unit of measurement.

Number of products in batch = 21

percentage of defective products = 3.9%

∴Number of defective products = 21 * 3.9% *100

                                                     = 0.82%.

Learn more about percentages here:-https://brainly.com/question/24304697

#SPJ2

The height of the goalpost is approximately 15.79 meters.

Given;

The distance of the mirror from the goalpost = 13.25 meters

The distance on the other side of the mirror Chee steps  =  1.3 meters

The distance from her eyes to the ground = 1.55 meters

By using similar triangles relationships, we have;

1.3 / 13.25 = 1.55 / Height

Height = 1.55 x 13.25 / 1.3

Height = 15.79 m

The height of the goalpost, h ≈ 15.79 meters

Learn more about similar triangles here:

brainly.com/question/10676220

#SPJ1

Answer:

y=1/4x+5

Step-by-step explanation:

:)

Answer:

\(y=\frac14x+5\)

Step-by-step explanation:

points 4,6 and 8,7

y=mx+b

7-6/8-4

1/4

y=1/4x+b

6=1/4(4)+b

b=5

y=1/4x+b

9514 1404 393

Answer:

  16 and 17

Step-by-step explanation:

16² = 256

(√277)² = 277

17² = 289

The root of 277 is between 16 and 17.

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

To know more about standard deviation refer to:

https://brainly.com/question/12669569

#SPJ4

Answer:

the answer is B

Step-by-step explanation:

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

Learn more about integrations here:

https://brainly.com/question/30217024

#SPJ1

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

Learn more about line chart click;

https://brainly.com/question/29359235

#SPJ1

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

Let's start listing some descriptions:

K is:

3 more than H

2 more than J

3 less than L

4 less than M

7 less than N

12 less than P

Now look at the answer choices and compare it to what we wrote.

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

[C. 7 less than N] is the correct answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer: LESS THAN FOUR

Step-by-step explanation:

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

I think it's just E.

Step-by-step explanation:

When you name triangles, you would often put a Δ and then the letters of the 3 angles. The only answer that fits that criteria is E.

The valid name for the given triangle is ΔΧΜΑ.

A triangle is a 3-sided polygon that consists of three edges and 3 vertices. The most vital asset of a triangle is that the sum of the inner angles of a triangle is identical to a hundred and eighty tiers. This belonging is called the attitude sum property of the triangle.

Learn more about triangle here https://brainly.com/question/2938476

#SPJ2

The values for the composition of functions are:

a. (f o g)(x) = -x³ - x + 1

b. (g o f)(x) = -x³ - x - 1

Here, we have,

to Determine the Value of Composite Functions:

The value of composite functions are determined by first finding the output of the inner function, which would be used as the input of the outer functions to derive the value of the composite functions.

Given the following:

f(x) = x³ + x + 1

g(x) = -x

a. To find (f o g)(x), substitute g(x) as the inner function for x into f(x):

(f o g)(x) = (-x)³ + (-x) + 1

Simplify

(f o g)(x) = -x³ - x + 1

b. To find (g o f)(x), substitute f(x) as the inner function for x into g(x):

(g o f)(x) = -(x³ + x + 1)

Distribute by -1

(g o f)(x) = -x³ - x - 1

Learn more about composite functions on:

brainly.com/question/10687170

#SPJ1

complete question:

If f(x)=x³+x+1 and g(x)=-x, find (f°g)(x) and (g°f)(x).

(f°g)(x)=

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

D

Step-by-step explanation:

Set D is not a functions. Functions are defined as each x having only 1 y value associated with it. 2 in the x column has two values associated with it: 1 and 2

D is not a function.

Answering the presented question, we may conclude that This greater expressions scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

The difference in look between the two charts is due to the choice of the scales on the x and y-axes. In the left chart, the y-axis starts offevolved at 800 and has a range of only 200 points, whilst the x-axis starts offevolved at 1300 and has a vary of 200 points. This compressed scale makes the variations between the ratings of the three students appear larger than they absolutely are.

On the other hand, the proper chart has a y-axis that starts at zero and has a vary of 800 points, whilst the x-axis begins at 1200 and has a range of 800 points. This greater expanded scale makes it easier to see the variations between the ratings of the three college students in a extra correct and informative way.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

The set in interval notation is

\((-\infty, 0]\)

Answer:

(-∞, 0].

Step-by-step explanation:

This set states that any value of x will always be less or equal to 0, therefore, x moves from -∞ to 0, including the 0. This, in interval notation is:

(-∞, 0].

Note that we use parenthesis for the side of -∞ and a square bracket for the 0, this is because both -∞ and ∞ are always categorized as "not contained" in a group of numbers. On the other hand, we write 0 with a square bracket next to it because this group of numbers contains the 0, because x can be less or equal to 0.

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

Learn more about percentage decrease:
https://brainly.com/question/30404835
#SPJ1

Answer:

A on edge2020

Step-by-step explanation: