A sine function can be used to model light waves. Green light has a wave length, or period of about 520 nm. Which equation best models green light?


A.) y=sin 260/pi theta

B.) y= sin pi/520 theta

C.) y= sin 520/pi theta

D.) y= sin pi/260 theta


Please help

Answer:

y = -x - 1   &  y = -3x - 1

Step-by-step explanation:

Answer: 1,1 for he first one and 1/4 on the second

Step-by-step explanation: rise/ run

It's not necessarily certain that a function's inverse is a function! It is necessary for the original function to be a one-to-one function in order to ensure that its inverse will likewise be a function.

What does a function's inverse mean with an example?

The original value for which a function produced its output is returned by the inverse function. In terms of functions, f and g are inverse, using the formula f(g(x)) = g(f(x)) = x. The initial value can be retrieved using a function that is its inverse. As a result, g(y) = (y-5)/2 = x is the inverse of f. (x).

                                A function that reverses the effects of another function is said to have an inverse. If y=f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words.

y = x² is a function

but inverse y = +/- √x   is not

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The formula is given by

Or

Where

Answer:

1.5

Step-by-step explanation:

37,5*0.12=6

37.5*0.04=1.5

Each rectangle can be divided into 10 parts.

A fraction is a part of a whole quantity.

In a fraction, the denominator represents the number of equal parts in a whole, and the numerator represents how many parts are being considered.

Given,

Same size rectangles are cut into the same number of equal parts.

Shaded part on one rectangle = 2/5

Shaded part on other rectangle = 1/2

Denominator shows total parts of whole,

To get the same number of equal parts, we need to find

Least common multiple of the denominator

= 2 × 5 = 10

Hence, Into 10 parts, each rectangle should be divided.

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The complete question is:

Henry has two same size rectangle divided into the same number of equal parts.one rectangle has 2/5 of the parts shaded,and the other has 1/2 of the parts shaded. Into how many parts could each rectangle be divided? show the work

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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A statement which is true include the following: C. the measure of GF is 4 inches.

In Mathematics and Geometry, a perpendicular bisector simply refers to a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector can be used to bisect or divide a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment CD is perpendicular bisector of AB, we can logically deduce the following congruent line segments;

ED ≅ DF

EG ≅ GF

EG = GF = 4 inches.

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Answer:

243 m³

Step-by-step explanation:

The volume of a rectangular pyramid is given by:

\(V = \frac13lwh\)

Where

l = length = 9m

w = width = 9m

h = height = 9m

so the volume is 1/3*9*9*9 = 243 m³

Answer:

243

Step-by-step explanation:

The formula for the volume of a square-based pyramid is

\(V=\frac{lwh}{3}\)

\(l\) = length

\(w\) = width

\(h\) = height

\(V=\frac{9 \times 9 \times 9}{3}\)

\(V=\frac{729}{3}\)

\(V=243\)

The area is 243 cubic meters.

Answer:

x=3

Step-by-step explanation:

The steps are in the picture below.

Step-by-step explanation:

First things first, we are rotating about a point so the first we do is the move the clockwise rotation to the origin.

Since a rotation is a rigid transformation, we must move all the other points as well.

So move every point using the rotation vector

R(-6,-8), move every point to

D(1-6,4-8)=D'(-5,-4)

E(5-6,5-8)=E'(-3,-5)

F(4-6,1-8)=F'(-2,-7)

G(0-6,0-8)=G'(-6,-8)

So know since the center of rotation is middle at (0,0) , we can apply the rotation rules

For a 270 clockwise rotation, we apply this rule

(-y,x)

So for the points we know get

D''(5,-4)

E''(3,-5)

F''(2,-7)

G"(6,-8)

Know since we done our rotation, we undo what we did in step 1, we add 6 to the x coordinates and 8nto the y coordinate

D"'(11,8)

E"'(9, 3)

F"(8,1)

G"'(12,0)

So those are our new coordinates.

Answer:

$11

Step-by-step explanation:

55/10=5.5

5.5*2=11

Answer:

11

Step-by-step explanation:

Because to get the percent you have to times your price by the decimal of 20 to get the discount.

Answer:

x = 44

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

8x + 14 -21x = -12x - 30

-13x + 14 = -12x - 30

-x + 14 = -30

-x = -44

x = 44

Answer:

y = -4/5x + 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   4x + 5y = 20

Step 2: Rewrite

A. Using the given information, we can standardize the value 203.4 using the formula \(z = (X - μ) / σ\), where X is the value of interest, μ is the mean, and σ is the standard deviation.

Thus, we get: \(z = (203.4 - 208.5) / 35.4 = -0.14407\)

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected value is greater than \(203.4\):

\(P(X > 203.4)\) = \(P(Z > -0.14407)\) = \(0.5563\) (rounded to 4 decimal places)

To find the probability that the sample mean is greater than 203.4, we need to use the central limit theorem, which states that the sample mean of a large enough sample size (n >= 30) from a population with any distribution has a normal distribution with mean μ and standard deviation σ / sqrt(n). Thus, we get:

\(z = (203.4 - 208.5) / (35.4 / sqrt(236))\)\(= -1.3573\)

Using a standard normal distribution table or calculator, we can find the probability that the sample mean is greater than 203.4:

\(P(X¯¯¯ > 203.4) = P(Z > -1.3573)\)= \(0.0867\) (rounded to 4 decimal places)

B. Using the given information, we can standardize the values \(217.5\) and \(234.6\) using the same formula as before. Thus, we get:

\(z1 = (217.5 - 223.7) / 56.9\) \(= -0.10915\)

\(z2 = (234.6 - 223.7) / 56.9 = 0.19235\)

Using a standard normal distribution table or calculator, we can find the probability that a randomly selected value is between 217.5 and 234.6:

\(P(217.5 < X < 234.6) = P(-0.10915 < Z < 0.19235) = 0.2397\) (rounded to 4 decimal places)

To find the probability that the sample mean is between 217.5 and 234.6, we can use the same formula as before, but with the sample size and population parameters given in part B. Thus, we get:

\(z1 = (217.5 - 223.7) / (56.9 / sqrt(244)) = -1.0784\)

\(z2 = (234.6 - 223.7) / (56.9 / sqrt(244)) = 1.7256\)

Using a standard normal distribution table or calculator, we can find the probability that the sample mean is between 217.5 and 234.6:

\(P(217.5 < X¯¯¯ < 234.6) = P(-1.0784 < Z < 1.7256)\)= \(0.8414\)(rounded to 4 decimal places)

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Answer:

B) 37.5 cm squared!

Step-by-step explanation:

First, we know that a triangular prism has 5 faces, so in order to find the surface area of this prism, we must find the area of each face, and then add them together.

Face 1 (Rectangle): 6.5 * 1.5 = 9.75

Face 2 (Rectangle): 6 * 1.5 = 9

Face 3 (Rectangle): 2.5 * 1.5 = 3.75

Face 4 (Triangle): (6 * 2.5)/2 = 6

Face 5 (Triangle): (6 * 2.5)/2 = 6

Now, we add all the areas of the faces together.

9.75 + 9 + 3.75 + 6 + 6 = 37.5

37.5 is the surface area of the whole triangular prism.

Answer: P= 9x-0.86y-2.99

I think im right

Step-by-step explanation:

Use equation for perimeter P=2L+2W

Answer:

A) -5

Step-by-step explanation:

-5 is less than -4 since the number is bigger but there is a negative. -3,0, and 2 are bigger, not smaller.

Answer:

Step-by-step explanation:

diameter = 7⅜ inches

radius r = 3.6875 inches

You have a sphere with r = 3.6875 inches

volume of sphere = (4/3)πr³ = 171 in³

A is closest, but not very.

Answer: To find the recursive formula of the geometric sequence -0.1, -0.5, -2.5, -12.5, we need to find the common ratio first.

The common ratio is found by dividing any term in the sequence by the previous term. Let's use the second and first terms:

Common ratio = -0.5 / (-0.1) = 5

So the recursive formula for this geometric sequence is:

C(1) = -0.1 (this is the first term)

C(n) = C(n-1) * 5

Therefore, the recursive formula is:

C(1) = -0.1

C(n) = 5C(n-1)

Step-by-step explanation:

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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The critical value of the given expression is  -1.22.

The given expression is,

\(Z_{0.11}\)

To find the indicated critical value,

Since we know that,

A z-score, also known as a standard score, is a statistical measure that quantifies how many standard deviations a particular data point or observation is from the mean of a distribution.

It represents the position of a value relative to the mean in terms of standard deviations.

We need to determine the z-score associated with an area of 0.11 in the standard normal distribution.

Using a standard normal distribution table,

We can find that the z-score corresponding to an area of 0.11 is approximately -1.22.

Therefore,

The indicated critical value,\(Z_{0.11}\), is -1.22.

The table is attached below:

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Answer:

y = 5 x = 4

Step-by-step explanation:

System of equations.

Answer:

x = 4

y = 5

Step-by-step explanation:

A)

5x - 2y = 10

x - y = -1             (Multpliy this by -2)

-2x + 2y = 2

5x - 2y = 10

3x = 12

x = 4

x - y = -1

4 - y = -1

-y = -5

y = 5

B)

Yes, the prices satisfy both equations

There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

Answer:

\(6c \geqslant 27 \\ thank \: you\)

\(c.6 \: \geqslant 27\)

The level of measurement is required of the independent variable (iv) and dependent variable (dv) to conduct a chi-square analysis is "the chi-squared test for independence."

A chi-square (X²) statistic is a test which compares a model to real observed data. A chi-square statistic requires data that is random, raw, mutually exclusive, obtained from independent variables, & drawn from a large enough sample. Tossing a fair coin, for example, meets these criteria.

Some key features regarding chi-square test are-

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The value of x is either 2 or -7/3.

Given expression:-

(x/x+1)+((x-1)/4)=(11/12)

We have to find the value of x.

The LCM of (x + 1) and 4 is 4(x - 1).

We can write,

[4x + (x + 1)(x - 1)]/4(x + 1) = 11/12

\(\frac{4x+x^2-1}{4(x+1)}=\frac{11}{12}\)

We can multiply 4 to the given equation, and get,

\(\frac{4x+x^2-1}{(x+1)}=\frac{11}{3}\)

By cross multiplying, we can write,

\(12(4x+x^2-1)=11(4(x+1))\)

12x + \(3x^2\) -3 = 11x + 11

\(3x^2\) + 12x - 11x -3-11 = 0

\(3x^2\) + x-14 = 0

Using the middle-term split theorem, we can write,

\(3x^2\) + 7x - 6x -14 = 0

x(3x + 7) - 2(3x + 7) = 0

(3x + 7)(x - 2) = 0

x = -7/3, 2.

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Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity

The inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The given parameters are:

Budget = $700

New bicycle = $296.71

Three bicycle reflectors = $12.34 each

Pair of a bike gloves = $33.66.

New biking outfits = $68.49 each.

Let the number of new biking outfits be x

So, we have the inequality;

New bicycle + 3 times price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives;

296.71 + 3( 12.34) + 33.66+ 68.49x ≤ 700

296.71 + 68.49x ≤ 700

Solve the inequality

367.39 + 68.49x ≤ 700

Hence, the inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85