f(x) = x/19 what is f(95)

Answer:

\(-1 \le u, v \le 1\) --- restriction

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

Step-by-step explanation:

Given

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

Required

Write in terms of u and v

Let:

\(a =\cos^{-1}u\)

Take arc cos of both sides

\(\cos a = u\)

Using the following trigonometry identity

\(\sin^2a + \cos^2a = 1\)

So:

\(\sin^2a = 1 -\cos^2a\)

\(\sin^2a = 1 -u^2\)

Take square roots of both sides

\(\sin a = \sqrt{1 -u^2\)

So, we have:

\(\cos a = u\)     \(\sin a = \sqrt{1 -u^2\)

Let:

\(b =\cos^{-1}{\sqrt{1 - v^2}}\)

Take arc cos of both sides

\(\cos b = \sqrt{1 - v^2\)

So:

\(\sin^2b = 1 -\cos^2b\)

\(\sin^2b = 1 - (\sqrt{1 - v^2})^2\)

\(\sin^2b = 1 - (1 - v^2)\)

\(\sin^2b = 1 - 1 + v^2\)

\(\sin^2b = v^2\)

Take square roots

\(\sin b = v\)

So, we have:

\(\cos b = \sqrt{1 - v^2\)     \(\sin b = v\)

So, we have:

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin(a + b)\)

Apply sine rule

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin a\ cos b + \sin b \cos a\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{1 - u^2} * \sqrt{1 - v^2} + v *u\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)*(1 - v^2)} + v *u\)

Expand

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

The restriction on u and v is:

\(-1 \le u, v \le 1\)

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Answer:

Monday: 1/12

Tuesday: 3/12

Wednesday: 5/12

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

Make the -4 exponent in the denominator positive.

Answer:

lcm of 3,6,9 is 18

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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Answer:

(3) ∠RNQ ≅ ∠ LPM

Step-by-step explanation:

Based on the image uploaded;

line MP is congruent to line  NQ

line ML is congruent to line  RQ

line LP is congruent to line RN

From line MP which is congruent to line  NQ, we can say that ∠RNQ ≅ ∠ LPM. That is, angle N of triangle RQN is congruent to angle P of triangle LMP

Thus, option 3 is the correct answer ( ∠RNQ ≅ ∠ LPM)

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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Answer:

- 5 + 4a

Step-by-step explanation:

- 6 + 2a + 1 + 2a

- 6 + 1 + 4a

- 5 + 4a

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Answer:

6 degrees Celsius

Step-by-step explanation:

It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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The approximate perimeter of the right triangle is 57.89 cm.

To find the perimeter of the right triangle, we need to know the lengths of the other two sides.

Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.

In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.

So we have:

\(24^2 = 16^2 + x^2\)

Simplifying, we get:

\(576 = 256 + x^2\)

Subtracting 256 from both sides, we get:

\(320 = x^2\)

Taking the square root of both sides, we get:

x ≈ 17.89

So the approximate perimeter of the triangle is:

P = 24 + 16 + 17.89 ≈ 57.89 cm

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Answer:

21

Step-by-step explanation:

You need to use the rule that they gave you (1.5t+3). Since t represents the time in weeks, replace t with 12. Now multiply. 1.5x12=18. 18+3=21

Answer:

the answer to this question is that 30 points is all that I need

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

There are 5*5= 10 pairs

b followed by y,w,t,g

y followed by y,w,t,g

r followed by y,w,t,g

1)only one article of clothing is green pants and blue shirt: 5/10

2) at least one article of clothing is tan pants and white shirt: 6/10

3)both articles of clothing are white pants and white shirt : 1/10

(4)at least of one article of clothing is random: 10/12

The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer:

0.709765 liters

Step-by-step explanation:

The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number

Answer:

tiresome

Step-by-step explanation:

Common sense, if people are constantly complaining about an issue and then start to take a more aggressive approach towards things they would seem to be tiresome from all of the stress.

Answer:

4

Step-by-step explanation:

4

The ordered pairs that represent the linear function is Option A, B and C.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. If the function has more variables, they should all be constants or known variables in order for the function to continue to function as a linear function.

To determine which ordered pairs represent a linear function we use the equation of slope.

The slope is given as:

m = (y2 - y1) / (x2 - x1)

Option A:

m = (5 - 8) / (-4 + 8) = -3 / 4

m = (2 - 5) / (0 + 4) = -3/ 4

The slopes between the consecutive points are same hence option A represents a linear equation.

Similarly, for option B:

m = (1 + 2) / (2 + 1) = 1

m = (4 - 1) / (5 - 2) = 1

Option B is correct.

Option C:

m = (5 - 8) / (1 + 2) = -3 / 3 = -1

m = (2 - 5)/ (4 - 1) = -1

Option C is correct.

Option D:

m = (1- 0)/ (1 + 1) = 1/2

m = (5 - 1) / (7 - 1) = 4 / 6 = 2/3

Option D is incorrect.

Hence, the ordered pairs that represent the linear function is Option A, B and C.

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a