3(n-1) <21 please help me :(

Answer:

\(x = \frac{25}{9}\)

Step-by-step explanation:

Divide both sides by 9 to isolate x:

\(\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\\)

Hope this helps!

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

B

Step-by-step explanation:

I did midterm break.

5p^2+2+7p=0

or, 5p^2+(5+2)p+2=0

or, 5p^2+5p+2p+2=0

or, 5p(p+1)+2(p+1)=0

or, (5p+2)(p+1)=0

therefore, p=-2/5 or -1

If d is unknown, the polar equation remains r = (6d) / (1 ± 6*cos(θ)).

To write a polar equation of a conic with the focus at the origin and the given data, we will use the general polar equation for a conic:

r = (ed) / (1 ± e*cos(θ))

where r is the polar distance, e is the eccentricity, d is the distance from the focus to the directrix, and θ is the polar angle.

Since we are given a hyperbola, eccentricity e = 6, and the directrix is represented by r, we can substitute these values into the equation:

r = (6d) / (1 ± 6*cos(θ))

However, we are not given the distance from the focus to the directrix (d). If you have a specific value for d, you can substitute it into the equation to get the final polar equation of the conic.

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Answer:

cool that's super cool

Step-by-step explanation:

Answer:

NICEEEEEEEEEEEEEEEEEEEE

Could I have Brainlest

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

sorry if I get this wrong I'm slowly understanding slope intercept form

Answer:

  3√2

Step-by-step explanation:

You want the distance between the parallel lines ...

On a graph, the lines are separated by 6 units vertically or horizontally. The slope of each is 1, so the slope of a perpendicular line will be -1.

One way to think of the distance between the lines is as the altitude of the right triangle with legs equal to the horizontal and vertical distances between the lines. That altitude is 6/√2 = 3√2.

The distance between the lines is 3√2 ≈ 4.24264.

__

Additional comment

The distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

If a point satisfies the equation x -y +2 = 0, then its distance from parallel line x -y -4 = 0 will be ...

  |-2 -4|/√(1² +(-1)²) = 6/√2 = 3√2

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Answer:

It's y = -5x + 12 and/or 5x + y = 12

Step-by-step explanation:

(x,y) is really helpful

*I believe that I'm correct, but I would recommend a quick double-check (just like any other math-related question)

Answer:

\(x = \frac{-15}{2}\)

Step-by-step explanation:

to answer these types of questions, we want to isolate the variable to one side of the equation

\(4x + 9 = 2x - 6\\4x - 2x = -6 - 9\\2x = -15\\x = \frac{-15}{2}\)

Answer:

x = -7.5 :)

Step-by-step explanation:

4x + 9 = 2x - 6

-2x         -2x

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

  2x + 9 =  -6

        -9      -9

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

     2x = -15

     ---     ----

     2       2

x = -7.5  

Answer:

Since each score appears only once, there is no score that appears more frequently than the others. There is no mode for this data set.

Step-by-step explanation:

The score that the greatest number of people received is the mode of the data set. In this case, the mode is the score that appears most frequently.

Looking at the data set, we see that the score of 5 appears once, the score of 6 appears once, the score of 7 appears once, the score of 8 appears once, the score of 9 appears once, and the score of 10 appears once.

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The area of the surface generated when the curve y = 4x^2 is revolved about the x-axis over the interval [0, 2], we can use the surface area formula and approximate the integral using numerical methods like Simpson's rule.

To find the area of the surface generated when the curve y = 4x^2, defined over the interval [0, 2], is revolved about the x-axis, we can use the formula for the surface area of revolution:

A = 2π ∫[a,b] y * √(1 + (dy/dx)^2) dx

In this case, our curve is y = 4x^2, so we need to find dy/dx:

dy/dx = d/dx (4x^2) = 8x

Now, let's calculate the square root term:

√(1 + (dy/dx)^2) = √(1 + (8x)^2) = √(1 + 64x^2) = √(64x^2 + 1)

Substituting these values into the surface area formula, we have:

A = 2π ∫[0,2] (4x^2) * √(64x^2 + 1) dx

Now, we can integrate the expression over the given interval [0, 2] to find the area. However, this integral does not have a simple closed-form solution. Therefore, we will use numerical methods to approximate the integral.

One commonly used numerical method is Simpson's rule, which provides an estimate of the definite integral. We can divide the interval [0, 2] into a number of subintervals and apply Simpson's rule to each subinterval. The more subintervals we use, the more accurate our approximation will be.

Let's say we divide the interval into n subintervals. The width of each subinterval is h = (2-0)/n = 2/n. We can then approximate the integral using Simpson's rule:

A ≈ 2π * [(h/3) * (y0 + 4y1 + 2y2 + 4y3 + ... + 4yn-1 + yn)]

where y0 = f(0), yn = f(2), and yi = f(xi) for i = 1, 2, ..., n-1, with xi = i*h.

By substituting the values of f(xi) into the formula and performing the calculations, we can obtain an approximation of the surface area.

In summary, to find the area of the surface generated when the curve y = 4x^2 is revolved about the x-axis over the interval [0, 2], we can use the surface area formula and approximate the integral using numerical methods like Simpson's rule.

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Answer:

23%

Step-by-step explanation:

There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits). The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%.

Following are the hypothesis which can be tested with experiments are as follow :

Option b. Diet with low in sugar reduced the risk for the heart disease.

Option c. Consumption of coffee increases subject performance on intelligence tests.

Hypothesis is the way of representing a explaining a phenomena for a real world.

Option a. Scientist find a cure before the year 2050 is not experiment based it is something which represents forecasting.

Option b. When a diet with low sugar reduces the risk of heart diseases it is concluded on the basis of various experiment.

Option c. Same way consumption of coffee also increases the performance on intelligence tests based on various tests.

Option d. Brushing a teeth implies longer life is not something experiment based .

Therefore , experiment representing hypothesis is given by :

option b. Low sugar diet reduced heart disease.

Option c. consuming coffee improves performance on intelligence tests.

The above question is incomplete , the complete question is:

Which of the following hypotheses can be tested with experiments?

a. Scientists will find a cure for cancer before the year 2050.

b. A diet low in sugar reduces the risk for heart disease.

c. Coffee increases subject performance on intelligence tests.

d. People that brush their teeth live longer than those that don't brush their teeth.

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Option (b) \(r = 14 + 14\ cos \theta\) is symmetric with respect to the polar axis. So we have to know meaning of symmetry.

In terms of geometry, symmetry is said to as a balanced and proportionate similarity between two (2) halves of an item.

Let, Start with option (a)symmetric with respect to the line  \(\theta =\frac{\pi }{2}\).

So , in this polar equation we have to place \(\theta\ by\ \pi -\theta\),

\(r = 14 + 14\ cos (\pi -\theta)\)

Now solve by the formula, cos(α-β) = cosα*cosβ + sinα*sinβ

\(r= 14 + 14[cos\pi *cos\theta + sin\pi *sin\theta]\)

Here, \(sin\pi +sin\theta\ become\ 0\ and\ cos \pi =-1\)

\(r=14+14 cos(-cos\theta)\)

\(r = 14 - 14\ cos \theta\)

Since it is not equivalent to my original , so it not symmetric with respect to the line \(\theta =\frac{\pi }{2}\).

Now, Start with option (b) i.e. symmetric with respect to polar axis.

\(r = 14 + 14\ cos \theta\)

So,  in this polar equation we have to place \(\theta\ by\ -\theta\)

\(r=14+14\ cos(-\theta)\)

\(r = 14 + 14\ cos \theta\)

So, it is symmetric with the polar axis.

Hence our option is (b) i.e. symmetric with respect to polar axis.

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A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

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Answer:

im really sorry if this is wrong, but my only thing i can think of is 12.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back

Answer:

Yes.

Step-by-step explanation:

Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.

Hope this helps!

Answer:

(0,-1)

Step-by-step explanation:

Answer:

(0,-1)

Step-by-step explanation:

The angle is measured in the clockwise direction, as shown by the blue markings. The two two blue lines are bounded between the angle from 0 to 75 as indicated.

Therefore, the answer is option D, that is 75 degrees

The incorrect answer is b) The difference between their speeds is exactly 1.5 miles per hour.

What is distance?

The distance between two sites is the length of the route. The metre is the SI unit for distance.

What is speed?

The speed at which an object’s location changes in any direction. The distance travelled divided by the time it took to travel that distance is how fast something is moving.

What is time?

The amount of time that something happens, goes through a process, or remains the same.

Let distance be Y and time be X.

Distance (Y) travelled by William after X hours;

Y= 19X

Speed of Leo = \(\frac{distance}{time}\)

= \(\frac{8}{0.5}\)= 16 m/hr

Difference in speed= 19-16= 3m/hr

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The centre angle of circular sector is n = 90 degrees (approximately).

A sector is referred to as a component of a circular made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radius of the circle at its ends.

A piece of pizzas can be used as an analogy for the form of a circle's sector.

The formula for finding the angle formed at the circular sector in radian is;

Let 'n' be the centre angle.

Let 'l' be the slant height of the cone which is equal to radius of circular sector.

Let 'r' be the radius of the cone.

First, calculate the total length of the circular sector say 'L' which is equal to the circumference of the circular base of the cone.

circumference = 2\(\pi\)r

                        = 2×3.14×1

                        = 6.28

Now,

centre angle = length of circular sector/radius of circle

n = L/l

n = 6.28/4

n = 1.57 radian

Convert radian in degree as;

n = (1.57×180)/\(\pi\)

n = 89.95

n = 90 degrees (approximately)

Therefore, the angle made by the circular sector is 90 dergees.

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The correct question is-

The slant height and radius of a cone are 4 and 1, respectively. Unrolling the curved surface gives a circular sector with center angle n degrees. Find n.

Answer:

Step-by-step explanation:

i hope this answer helpful for you

Check the picture below.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=26\\ \theta =\stackrel{180+34}{214} \end{cases}\implies \begin{array}{llll} A=\cfrac{\pi (214)(26)^2}{360}\implies A=\cfrac{18083\pi }{45} \\\\\\ A \approx 1262.43 \end{array}\)

Answer:

ABC by the SSS postulate

ASA  rule shows 1 side is congruent and 2 angles congruent

SAS rule shows 2 sides are congruent and 1 angle congruent

SSS rule shows 3 sides are congruent as angles already proven ASA and SAS

Answer:

Proceeds = $11020

Effective interest rate = 15.2%

To find the proceeds of the note, we will subtract the bank discount from the face value

The points X(6,7), Y(2,3), Z(4,1) can be plotted as given below. From the obtained graph ∠XYZ is the right angle.

The given coordinates are X(6,7), Y(2,3) and Z(4,1).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(6,7), Y(2,3), Z(4,1) can be plotted as given below:

All points X(6,7), Y(2,3), Z(4,1) have the positive x and y coordinates.

So, all the points X(6,7), Y(2,3) and Z(4,1) lie in the first quadrant.

From the graph, we can see at the two lines are perpendicular to each other.

So, the angle between two lines is the right angle which is 90°.

From the obtained graph ∠XYZ is the right angle.

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