Which of the following rational functions is graphed below?

Answer:

C. I and II

Step-by-step explanation:

In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!

Answer:

11 m

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

I took the maps testing

Answer:

A bell rings 12 times in a hour.

Step-by-step explanation:

We know 60 minutes are in an hour and the question is asking how many times it rings within that hour so what we are going to do is,

60 divided by 5 = 12.

Therefore the answer is 12.

Hope that helps. x

If a bell rings in every five minutes how many times does it ring in an hour?

12

The bell rings after every 5 minutes. We know that there are 60 minutes in an hour. Therefore, dividing 60 minutes (1 hour) by 5 gives you the number of times the bell rings in an hour.

=> 60/5 = 12

The bell rings 12 times in an hour.

Answer:

The area of the green polygon is 81.

The area of the yellow polygon is 3.

Step-by-step explanation:

To get the green polygon, simply multiply 9 by 9. (The sides)

To get the yellow polygon, first you have to find the height. We know that the side of the green polygon is 9, so you have to do 9-7 to find the height of the triangle. That is 2

Then to find the area, use the equation: \(\frac{h_{b} b}{2}\) . The h would be 2 and b would be 3.

The answer is 3.

ask if you have questions!

Answer: -7

Because if y is -7 then the equation would be 4 - 7 = -3 which is true :)

The area represented by the function g(x) = ∫[0 to x] (5 + sin(t)) dt can be visualized as the accumulated area between the x-axis and the curve of the integrand from x = 0 to x = x.

To sketch the area represented by g(x), we need to visualize the integral as the accumulated area under the curve. The integrand (5 + sin(t)) represents the height of the curve at each point.

Starting from x = 0, as x increases, we calculate the area between the curve and the x-axis by integrating the function from 0 to x. This means finding the antiderivative of (5 + sin(t)) with respect to t and evaluating it at the bounds 0 and x.

The resulting graph will show the accumulated area under the curve as x varies. The shape of the graph will be influenced by the oscillating nature of the sin(t) term and the constant term 5.

To accurately sketch the graph, it's recommended to use graphing software or a graphing calculator.

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If comparing means of two groups with equal sample sizes, always use a paired test. The statement is false.

A paired test is used when each observation in one sample is paired with a corresponding observation in the other sample. This pairing can occur naturally (e.g. before and after treatment in a clinical trial) or can be done by matching subjects based on relevant characteristics. Paired tests have greater power to detect differences between groups because they account for the individual variability in the observations and reduce the influence of extraneous factors that affect each observation similarly. However, they are only appropriate when there is a natural pairing or matching of observations. If the samples are independent, meaning that the observations in one sample are not paired with the observations in the other sample, then a paired test is not appropriate. In this case, an independent sample t-test is used to compare the means of the two groups. The sample size does not determine whether a paired test or an independent sample t-test should be used; rather, it depends on the nature of the observations and the research question being investigated.

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Answer:

A

Step-by-step explanation:

Given

x = y² + 6y + 1

To complete the square

add/subtract ( half the coefficient of the y- term )² to y² + 6y

x = y² + 2(3)y + 9 - 9 + 1

  = (y + 3)² - 8

The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The standard form of the equation of a parabola is,

⇒ x = y² + 6y + 1.

Now, We can simplify as;

⇒ x = y² + 6y + 1

⇒ x = y² + 6y + 9 - 9 + 1

⇒ x = (y + 3)² - 8

Thus, The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

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Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

\(9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\ \)

Answer:

D

Step-by-step explanation

60/60 = 1

4/60 = 0.066....

1 foot would take 0.067 minute which would be 1/15

The ratio that represents the height of the climbers ascends per hour is

900 feet : 60 minutes

or

900 feet / hour

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

60 feet = 4 minutes

Multiply 15 on both sides.

15 x 60 feet = 15 x 4 minutes

900 feet - 60 minutes

This means,

900 feet per hour.

Thus,

The ratio that represents the height of the climbers ascends per hour is

900 feet : 60 minutes

or

900 feet / hour

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Let's find out zeros

x intercepts

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that he wins two matches is P(X = 2), hence:

\(P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04\)

4% probability of Anne winning two matches.

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Answer:

I'm guessing that you're some age over the age of 1.

Edit: I honestly don't care about being marked Brainliest, because it's not even that important.

Answer:

Step-by-step explanation:

Oh then you just multiply it

Answer:

$360

Step-by-step explanation:

You have to calculate the interest earned on $3,000, at the rate of 0.04 for 3 years.

P= $ 3000, R= 0.04 and t= 3 years.

3000 × 0.04 × 3= $360 (Answer)

Hope that helps

Have a good day :)

Answer:

$360.

Step-by-step explanation:

The interest earned on principal P, at the rate of r for the duration of t years is given by the equation I = Prt ........... (1)

Now, we have to calculate the interest earned on $3000, at the rate of 0.04 for 3 years.

Here, P = $3000, r = 0.04 and t = 3 years.

Hence, from equation (1), Interest earned, I = 3000 × 0.04 × 3 = $360 (Answer)

The length of a rectangle of perimeter of 20 inches is of 4.5 inches.

Considering a rectangle of length l and width w, we have that the area and the perimeter of the rectangle have equations presented as follows:

In this context of this problem, the width of the perimeter is given as follows:

w = 5 and 1/2 inches = 5.5 inches.

(to convert the mixed number to decimal, we added the integer part with the decimal part).

The perimeter of the rectangle is given as follows;

P = 20 inches.

Hence the length of the rectangle can be found as follows:

2(l + w) = 20

l + w = 10

l + 5.5 = 10

l = 10 - 5.5

l = 4.5 inches.

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Based on the data, it can be inferred that Harrisburg, PA is 158 miles from Trento, NJ.

To calculate the distance between Harrisburg and Trento we must carry out the following procedure. First we look at the entire table to see the different distance values between the cities. As we can see, the values for Trento, NJ are not there, so we will have to look elsewhere for additional information.

In this case, we must take as a reference the closest city to Trento that is on the list, this would be Filadeldia. Now, we must find the distance between Philadelphia and Trento and add this value to the distance between Philadelphia and Harrisburg.

According to the above, Philadelphia is 114 miles from Harrisburg and 44 miles from Trneto.

Based on the above, the total distance between Trento and Harrisburg is 158 miles.

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Answer:

x=6

Step-by-step explanation:

To find x you need to equate X+4 and 3X-8 to give you X+4 = 3X-8 (you can do this as it is an isosceles triangle and both these sides are the same length). you then solve the equation for x which is the length of AC

Answer:

The trigonometric functions, sin, cos and tan for an angle are the primary functions. The value for cos 60 degrees and other trigonometry ratios for all the degrees 0°, 30°, 45°, 90°, 180° are generally used in trigonometry equations. These trigonometric values are easy to memorize with the help trigonometry table.

Cos 60 Degree Value

In a right-angled triangle, the cosine of ∠α is a ratio of the length of the adjacent side (base) to the ∠α and its hypotenuse, where ∠α is the angle formed between the adjacent side and the hypotenuse.

Cos 60 Degree value

Cosine α = Adjacent Side / Hypotenuse

Cos α = AC / AB

Cos α = b / h

Now, to find the value of cos 60 degrees, let us consider, an equilateral triangle ABC as given below:

Cos 60 Degree

Here, AB = BC = AC and AD is perpendicular bisecting BC into two equal parts.

As we know, cos B = BD/AB

Let us consider the length of each side as 2 units, such as AB = BC = AC = 2 units and BD = CD = 1 unit.

Therefore, the value of cos 60° = BD/AB = ½

In the same way, we can write the value of sin 60° and tan 60° by evaluating the required sides.

In right triangle ABD, by Pythagoras theorem:

AB2 = AD2+ BD2

22 = AD2 + 12

AD2 = 22 -12

AD2 = 4 – 1

AD2 = 3

AD = √3

Now, we have got all the sides of triangle ABD.

Sin 60° = AD/AB = √3/2

Tan 60° = AD/BD = √3 / 1 = √3

We can also write the value of cos 60 degrees in decimal form as:

cos 60° = 1/2 = 0.5

Also, we can write the values of sine, cosine and tangent with respect to all the degrees in a table.

Let us draw a table with respect to degrees and radians for sine, cosine and tangent functions.

Angle in Degrees 0 30 45 60 90 180 270 360

Angle in Radians 0 π/6 π/4 π/3 π/2 π 3π/2 2π

Sin 0 1/2 1/√2 √3/2 1 0 -1 0

Cos 1 √3/2 1/√2 1/2 0 -1 0 1

Tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Unit Circle in Trigonometry

It is possible to give the values of trigonometric ratios with respect to radians equivalent to degrees, in case of a unit circle, whose radius is equal to one. The radian for a unit circle is denoted by π. In the below figure, the angle values are represented in degrees instead of radians.

Cos 60 Degree graph

You have learned about cos 60 degrees value along with other degree’s values here now. Also, the derived values for sin and tan with respect to degrees and radians. In the same way, we can find the values for other trigonometric ratios like secant, cosecant and cotangent.

Let us see some example where we can use the value of cos 60 degrees.

Example 1: Find the value of cos 60° + sin 30°.

Solution:

cos 60° + sin 30°

= cos 60° + sin (90° – 60°)

= cos 60° + cos 60°

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

= (1 + 1)/2

= 2/2

= 1

Alternatively, cos 60° + sin 30° = (1/2) + (1/2) = (1 + 1)/2 = 2/2 = 1

Example 2: Calculate: 2 sin 60° – 4 cos 60°

Solution:

We know that, sin 60° = √3/2 and cos 60° = 1/2

Thus, 2 sin 60° – 4 cos 60° = 2(√3/2) – 4(1/2)

= √3 – 2

therefore it 3/2

Step-by-step explanation: Peace Out.... Have a good day

PLEASE GIVE MARK BRAINIEST I WORK SO HARD IT TOOK  ALL DAY!!!

To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.

a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.

Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.

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Answer:

Explanation:

According to the factor theorem, if we set x+1 to zero, the substitute the x value into the polynomial, if we get a value of zero, then x+1 is a factor of the polynomial, otherwise, it is not

We start by setting x+1 to zero:

Substitute -1 into the polynomial:

This shows that (x+1) is a factor of the polynomial

From the diagram, the statements that are true includes

line OM ≅ line MP

∠ OJP ≅ ∠ OJL

In geometry, a tangent of a circle is a line that touches the circle at exactly one point, called the point of tangency.

The tangent line is perpendicular to the radius of the circle at that point. This means that the tangent line forms a right angle with the radius.

This makes ∠ OJP = 90 degrees also line LM id perpendicular to line OP, since it is a perpendicular bisector hence we have that

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Answer:

7

Step-by-step explanation:

Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!

The dimensions of the cubes are 10 inches, 8 inches, and 6 inches.

Let's assume the lengths of the edges of the cubes are x, x-2, and x-4, where x is the largest edge length.

The surface area of a cube is given by the formula 6s^2, where s is the edge length.

According to the problem, the total surface area of the three cubes is 900 square inches. Therefore, we can set up the equation:

6x^2 + 6(x-2)^2 + 6(x-4)^2 = 900.

Simplifying the equation:

6x^2 + 6(x^2 - 4x + 4) + 6(x^2 - 8x + 16) = 900.

Expanding and combining like terms:

6x^2 + 6x^2 - 24x + 24 + 6x^2 - 48x + 96 = 900.

18x^2 - 72x + 120 = 900.

Dividing both sides by 6 to simplify:

3x^2 - 12x + 20 = 150.

Rearranging the equation:

3x^2 - 12x - 130 = 0.

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. After solving the equation, we find the solutions:

x = 10 and x = -4/3.

Since the dimensions of the cubes must be positive even integers, we discard the solution x = -4/3.

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The pooled standard deviation will be True

The average range of all data points about their group mean is known as the pooled standard deviation (not the overall mean). It is the weighted average of the standard deviations for each group. Larger groups have a proportionately greater impact on the overall estimate because to the weighting.

Compare the ratio of the two sample standard deviations as a quick way to verify this. The ratio would be 1, or, in the event that the two are equal. However, we cannot anticipate the ratio to be exactly 1, as they are samples and as a result, there will be some mistake. A decent Rule of Thumb to apply is to see if the ratio falls between 0.5 and 2 when the sample sizes are nearly equal (granted, "nearly equal" is a bit imprecise, so frequently if sample sizes are small one requires they be equal). In other words, neither sample's standard deviation is greater than its counterpart.

Therefore, the pooled standard deviation will be True

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Step-by-step explanation:

According to the Question , diameter of circle is 16 inches. We need to find the area in terms of pi (π) . We know the area of circle as product of pi and square of radius . Therefore ,

\(\to\tt \orange{ Area = \pi r^2 } \\\\\tt \to Area = \pi (8 \ in.)^2 \\\\\tt\to \boxed{\orange{\tt Area = 64\pi in^2 }}\)

Answer:

\(64\pi\)

Step-by-step explanation:

diameter => D = 2r

r = D/2 = 16/2 = 8

area =

\(\pi \times r {}^{2} \)

=

\(64\pi\)

The general solution to the given differential equation is sin x + x ln y + C, where C is the constant of integration.

The given equation is (cos x + ln y) dx + (x/y + \(e^y\)) dy = 0.

Taking the partial derivative of the coefficient of dx with respect to y, we get (∂/∂y)(cos x + ln y) = 1/y.

Taking the partial derivative of the coefficient of dy with respect to x, we get (∂/∂x)(x/y + \(e^y\) ) = 1/y.

Since the partial derivatives of the coefficients are equal, the given differential equation is exact.

To solve the exact equation, we need to find a function F(x, y) such that (∂F/∂x) = (cos x + ln y) and (∂F/∂y) = (x/y +  \(e^y\)).

By integrating the first equation with respect to x, we obtain F(x, y) = sin x + x ln y + g(y), where g(y) is an arbitrary function of y.

Next, we differentiate F(x, y) with respect to y and set it equal to the second equation.

(∂F/∂y) = x/y +  \(e^y\) + g'(y).

Comparing this with (∂F/∂y) = (x/y +  \(e^y\)), we find that g'(y) = 0, which implies that g(y) is a constant.

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