What is the equation of this line?
A. y = 2x
B. y = -2x
C. y = -1/2x
D. y = 1/2x​

\(\cfrac{22\pi }{3}\implies \cfrac{(3)(7)\pi +\pi }{3}\implies 7\pi +\cfrac{\pi }{3}\implies 6\pi +\pi +\cfrac{\pi }{3}\)

so the angle is really 3 revolutions plus another π plus a little bit more.  Check the picture below.

Blank 1: In this study, 5 treatment conditions were compared
Blank 2: There were 60 individuals who participated in the entire study

The Independent Samples t Test is extended by the One-way ANOVA (In independent samples t test used to compare the means between two independent groups, whereas in one-way ANOVA, means are compared among three or more independent groups).

Whereas a two-way ANOVA employs two independent variables, a one-way ANOVA just uses one.

Example of One-Way ANOVA You want to examine how three different fertilizer combinations affect crop yield as an agricultural researcher.

ANOVA comes in two primary flavours: one-way (also known as unidirectional) and two-way. ANOVA can also take several forms.

The mean of a quantitative variable is estimated using a two-way ANOVA in relation to the values of two categorical variables

Blank 1: In this study, 5 treatment conditions were compared (the number of conditions is one more than the first number in the F-statistic, which is 4).

Blank 2: There were 60 individuals who participated in the entire study (you can calculate this by adding the two numbers in the F-statistic and then adding 1,

so 4 + 55 + 1 = 60).

learn more about One-way ANOVA

https://brainly.com/question/30763604

#SPJ11

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Equations

Let's call:

x = time Stanley swam yesterday.

We know he ran for half an hour longer than he swam, thus the time he ran was:

x + 0.5 = time Stanley ran yesterday

We also know he biked for twice the time he ran, thus:

2(x + 0.5) = time Stanley biked yesterday.

The distance covered by Stanley when swimming is

2.5*x

The distance covered by Stanley when running is:

9*(x+0.5)

The distance covered by Stanley while biking is:

16*2*(x + 0.5) = 32(x + 0.5)

The total distance is 64 miles, thus:

2.5*x + 9*(x+0.5) + 32(x + 0.5) = 64

Operating:

2.5x + 9x + 4.5 + 32x + 16 = 64

Simplifying:

43.5x + 20.5 = 64

Subtracting 20.5:

43.5x = 43.5

Thus:

x = 1

Stanley swam for 1 hour, he ran for 1+0.5 = 1.5 hours and biked for 2*1.5=3 hours

Swam: 1 hour, Ran: 1.5 hours, Biked: 3 hours

Answer:

  (a)  k = -5

Step-by-step explanation:

You want to know the value of k in g(x) = f(x) +k given that point (0, -4) lies on the graph of g(x) and point (0, 1) lies on the graph of f(x).

Filling in the vertex values, we have ...

  g(x) = f(x) +k

  g(0) = f(0) +k

  -4 = 1 +k

  -5 = k . . . . . . . subtract 1

The value of k is -5.

<95141404393>

None of the given polygons appears to be regular.

A regular polygon is a polygon with all sides and angles of equal measure. In other words, a regular polygon is a shape with straight sides that has all angles and sides of equal length.

The simplest example of a regular polygon is a equilateral triangle, which has three sides of equal length and three angles of equal measure. Another example is a square, which has four sides of equal length and four right angles of equal measure.

Figure A is a rhombus, which has opposite sides parallel and all sides equal, but it has two acute angles and two obtuse angles, so it is not regular.

Figure B is a parallelogram, which has opposite sides parallel, but not all sides and angles equal, so it is not regular.

Figure C is a right-angled triangle, which has one right angle, but not all sides and angles equal, so it is not regular.

Figure D is a trapezoid, which has at least one pair of parallel sides, but not all sides and angles equal, so it is not regular.

To know more about angles visit:

https://brainly.com/question/15277238

#SPJ1

Answer:

y=mx+b

Step-by-step explanation:

the second answer

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Answer:

I think is 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

COP is slope which is rise over run.

Answer:

Inequality form

x </ 22

Interval Notation

(-∞,22]

Step-by-step explanation:

Solve for x by simplifying both sides of the inequality, then isolating the varible

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Learn more about Express

brainly.com/question/28172855

#SPJ11

The radio tower is approximately 25.11 meters tall.

We'll use trigonometry to find the height of the radio tower. Here are the steps:

1. Identify the given information: The distance from the surveyor to the base of the building is 52 meters, the angle to the top of the building is 36 degrees, and the angle to the top of the radio tower is 48 degrees.

2. Use the tangent function to find the height of the building: In this case, the tangent of 36 degrees is equal to the height of the building divided by the distance (52 meters). So, tan(36) = height_building / 52. Solve for height_building.

3. Calculate the height of the building: height_building = 52 * tan(36) ≈ 37.96 meters.

4. Use the tangent function again to find the height from the base of the building to the top of the radio tower: tan(48) = (height_building + height_tower) / 52. Solve for height_tower.

5. Substitute the value of height_building into the equation: tan(48) = (37.96 + height_tower) / 52.

6. Solve for height_tower: height_tower = (52 * tan(48)) - 37.96 ≈ 25.11 meters.

For more about radio tower:

https://brainly.com/question/13831121

#SPJ11

Answer:

\(5 + 0.7 + 0.03 = 5.73 \\ 100 + 50 + 3 + 0.5 + 0.04 + 0.008 = \\ = 153.548\)

Answer:

573/100 =5.73 this is the answer

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

To learn more about : radius

https://brainly.com/question/24375372

#SPJ11

Answer:

1 1/4 is the answer

Step-by-step explanation:

Step-by-step explanation:

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 00. The derivative of ax^{n}ax

n

is nax^{n-1}nax

n−1

.

Answer:

A. 40 – $28.48 = $11.52

Step-by-step explanation:

Just add up 12.99 and 15.49 and subtract the number from 40.

Answer:

16%.

Step-by-step explanation:

pls give me brainliest

Answer:

%16

Step-by-step explanation:

We can first set up a fraction:

4 ( the amount of plants killed )

----------------------------------------------

25 ( the total amount of plants )

4/25

Then make the denominator as close to or exactly 100:

4 x 4 = 16

25 x 4 = 100

16/100

%16

Answer:

Below.

Step-by-step explanation:

I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.

Tan 30 = h/ (x + 10)

tan 45 = h/x        where h is the height of the tower.

From the second equation  x = h / tan45

Substituting in the first equation;

tan30 = h / (h/tan45 + 10

Tan 30 = 1/ √3 and tan 45 = 1 so

1/ 1.732 = h/ (h + 10)

0.5774 = h/(h + 10)

h = 0.5774h + 57.74

0.4226 h = 57.74

h = 136.6 m to nearest tenth.

The mean time it takes Diane and her three friends to complete the obstacle course is approximately 45.75 seconds.

To find the mean of the times it takes Diane and her three friends to complete the obstacle course, we need to add up the times and then divide by the number of people who completed the course.

Let's assume that the times (in seconds) it took each person to complete the course were:

Diane: 42 seconds

Friend 1: 55 seconds

Friend 2: 39 seconds

Friend 3: 47 seconds

To find the mean, we add up all of the times and then divide by the total number of people who completed the course (in this case, four people):

Mean time = (42 + 55 + 39 + 47) / 4

= 183 / 4

= 45.75 seconds

It's important to note that the mean can be impacted by outliers or extreme values in the data set. In this case, if one person had a much longer time to complete the course, it could significantly impact the mean time. It's important to consider the distribution and range of the data in addition to the mean when analyzing data.

Learn more about mean at: brainly.com/question/30891252

#SPJ11

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

Learn more about z-score at: brainly.com/question/15016913

#SPJ11

Answer:

k = 3

Step-by-step explanation:

Given that b varies jointly with c and d and inversely with f then the equation relating them is

b = \(\frac{kcd}{f}\) ← k is the constant of variation

To find k use the condition c = 4, d = 9, f = 6 , b = 18, then

18 = \(\frac{k(4)(9)}{6}\) = \(\frac{36k}{6}\) = 6k ( divide both sides by 6 )

3 = k

Answer:

C. 3

Step-by-step explanation:

edge 2021

Answer:

x = (z-8)/(6-p)

Step-by-step explanation:

Here in this question, we are to solve for x.

In quite more understandable words, we are trying to make x the subject of the formula.

To do this, we simply bring together, the terms that have x common to them.

Let’s proceed mathematically;

z = 8 + 6x - px

Let’s take 8 to z to make it negative and factor out x since it’s common to the two terms on the right hand side of the equation.

z - 8 = x(6-p)

The final thing to do here is to isolate x and this gives the below;

We can do this by dividing both sides by the coefficient of x which is 6-p in this case.

Thus;

x = (z-8)/(6-p)

Answer:

-4 3/5

Step-by-step explanation:

I subtracted 1 3/5 from -3 and got -4 3/5. I also added 1 3/5 + -4 3/5 to check my work and it is correct.

The set notation will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}.

When we have to represent set having defined specific number, we do my writing the number in curly bracket. When we have to represent the set having collection of continuous number between two specific defined number, we do by writing first and last number in small bracket.

As the terms given for the set is 14, 16, 18, 20, 22, 24, 26, 28 which are defined and specific terms so it will be represented by writing it in curly brackets

i.e. S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

Final answer,  the set will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

To learn more about sets here: https://brainly.com/question/8053622

#SPJ1

Answer:

he makes $12.5 every lawn he mows

Step-by-step explanation:

you didn't ask a question but this might help I don't know

Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.

CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.

CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.

To know more about  Capital visit :

https://brainly.com/question/32408251

#SPJ11

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

To know more about Carbon monoxide in blood, visit,

https://brainly.com/question/29233528

#SPJ4

Answer:

-2 < y ≤ 10

Step-by-step explanation:

The graph's lowest point is at y = -2, and the graph's highest point is at y = 10, so we know it would start off with -2 and end with 10. The dot at the lowest point is not shaded in, indicating that the graph does not include -2. So, we would represent this exclusion in our inequality with a less than (<) sign. As for the highest point at y = 10, it is shaded in, indicating that the graph does include 10. We would show this in our inequality with a less than or equal to sign (≤)