Find the standard form of the equation of the hyperbola with the given characteristics. Foci: ( ± 10 , 0 ) Asymptotes: y = ± 3/4 x

The equation as h is terms of w is h = 100 / w².

The volume of a rectangular prism can be represented as follows:

volume of a rectangular prism = lwh

where

Therefore,

volume = 200cm³

l = 2w

200 = 2w × w × h

200 = 2w²  × h

Hence,

divide both sides by 2w²

h = 200 / 2w²

h = 100 / w²

The equation as h is terms of w is h = 100 / w².

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Answer:

Step-by-step explanation:

8a^12

----------

b^6

^ means to the power of, problem is that i have a hard time adding the actual symbol.

so when you see ^ when you answer you would have to put it like this:

    12

8a

--------

    6

b

Answer:

The weight of the popcorn is off but the potato chips are safe. Simply determine whether each value is within the limit of deviation from eachother.

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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Answer: Hence, a regular decagon has each exterior angle 36∘ and each interior angle as 144∘.

Answer:

x=23

Step-by-step explanation:

because its right

Answer:

x=23

Step-by-step explanation:

Step-by-step explanation:

this means it filters the whole water (30,000 gallons) every 8 hours.

so the pump pumps with the rate of

30,000 gallons / 8 hours

but we need the adjusted rate for gallons per 1 hour.

so, what do we do ?

we divide top and bottom (numerator and denominator) of the fraction (every ratio is also a fraction) by 8. it is important that we use the same value for both to keep the overall value of the fraction unchanged.

so we get

30,000/8 / 8/8 = 3,750 gallons / 1 hour

Answer: 16m+8

Step-by-step explanation: 8 (2m + 1)

16m+8

Answer:

either or

2,4 or 4,2

4,8 or 8,4

6,12 or 12,6

8,16 or 16,8

Step-by-step explanation:

if u tell me which one is x and would help even more good luck

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Triangles.

Since there is a linear pair with 40° , the another angle will be 140° ,

also the triangle newly formed is a isosceles one,

hence x = 20°

===> x = 20°

Now apply angle sum property of a triangle on, the other one,

we get as, 70+40+y=180

hence, y = 180-110

y = 70°

Hence angle y ==> 70°

Answer:

d.) 3

Explanation:

\(\sf \rightarrow \dfrac{5^2-4}{5+2}\)

squaring 5 = 25

\(\sf \rightarrow \dfrac{25-4}{5+2}\)

add/subtract integers

\(\sf \rightarrow \dfrac{21}{7}\)

simplify following

\(\sf \rightarrow 3\)

\(\huge \boxed{\sf D} \\\\\\\displaystyle \sf \frac{5^2-4}{5+2} \\\\Exponent\\\\ \frac{25-4}{5+2}\\\\Addition\ and\ subtraction\\\\\frac{21}{7}\\\\Division\\\\=3\)

Cosine distance is used in the k-means clustering algorithm to remove outliers. It is a metric used to determine the similarity between two documents. In k-means clustering, cosine distance is used to calculate the distance between data points.

Cosine distance is used to normalize the data so that it is not affected by the length of the data vectors or the scale of the data. The cosine distance is calculated as follows:

Cosine distance = 1 - Cosine similarity,

where Cosine similarity = dot product of two vectors/ product of the magnitude of two vectors.

To remove the outliers from the k-means clustering algorithm, we can set a threshold value for the cosine distance. If the cosine distance between two data points is greater than the threshold value, then those data points are considered outliers and they are not included in the cluster. This helps to ensure that the clustering algorithm only groups together data points that are similar and ignores the outliers.

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Answer:

3

Step-by-step explanation:

Just like the other one, plug -6 in for x:

1/3(-6)+5=-2+5=3

Answer:

The expression 1/3x + 5 is equal to [3] when x = -6

Step-by-step explanation:

1/3x + 5

= 1/3(-6) + 5

= -6/3 + 5

= -2 + 5

= 3

Answer:

Step-by-step explanation:

To find the total area of the track, we need to calculate the area of each section and then add them together.

Area of a semi-circle with radius 31m:

A = (1/2)πr^2

A = (1/2)π(31m)^2

A = 4795.4m^2

Area of a rectangle with length 92.7m and width 31m (the straight parts):

A = lw

A = (92.7m)(31m)

A = 2873.7m^2

To find the total area, we need to add the areas of the two semi-circular ends and the two straight sections:

Total area = 2(Area of semi-circle) + 2(Area of rectangle)

Total area = 2(4795.4m^2) + 2(2873.7m^2)

Total area = 19181.6m^2

Rounding this to 1 decimal place, we get:

Total area ≈ 19181.6 m^2

Therefore, the total area of the track is approximately 19181.6 square meters.

Answer:

yo congratulations on finishing 10th grade (congratulate me on finishing 8th)

hamood spelled backwards is doomah so...um...

also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July

Answer:

Greater number is 24 and smaller number is 18.

Step-by-step explanation:

According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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Answer:

Step-by-step explanation:

Height = h = 18 m

Radius = r = 19 m

Volume of cylinder:

\(=\pi r^2h\)

\(=(3.14)(19)^2(18)\)

\(=(3.14)(361)(18)\)

\(=20403.72\) \(m^3\)

There are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

To find the number of different triples of natural numbers with a sum of 10, we can consider different cases based on the value of the first number in the triple.

Case 1: The first number is 1.

In this case, we need to find the number of ways to represent 10 as a sum of the remaining two numbers. Since we have already considered (1,8,1) and (8,1) as the same triple as (1,1,8), we only need to find the ways to represent 10 using two numbers, excluding 1. The possible pairs are:

(2,8), (3,7), (4,6), (5,5)

Case 2: The first number is 2.

In this case, we need to find the number of ways to represent 8 as a sum of the remaining two numbers. The possible pairs are:

(1,7), (3,5), (4,4)

Case 3: The first number is 3.

In this case, we need to find the number of ways to represent 7 as a sum of the remaining two numbers. The possible pairs are:

(1,6), (2,5), (4,3)

Case 4: The first number is 4.

In this case, we need to find the number of ways to represent 6 as a sum of the remaining two numbers. The possible pairs are:

(1,5), (2,4), (3,3)

Case 5: The first number is 5.

In this case, we need to find the number of ways to represent 5 as a sum of the remaining two numbers. The possible pair is:

(1,4)

Case 6: The first number is 6.

In this case, we need to find the number of ways to represent 4 as a sum of the remaining two numbers. The possible pairs are:

(1,3), (2,2)

Case 7: The first number is 7.

In this case, we need to find the number of ways to represent 3 as a sum of the remaining two numbers. The possible pair is:

(1,2)

Case 8: The first number is 8.

In this case, we need to find the number of ways to represent 2 as a sum of the remaining two numbers. The only possible pair is:

(1,1)

Adding up the counts from each case, we get:

4 + 3 + 3 + 3 + 1 + 2 + 1 + 1 = 18

Therefore, there are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

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Answer:

PEMDAS

Step-by-step explanation:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right).

I hope this helps

Please mark me brainliest ♥️

Have a nice day

Answer:

10 teenagers

Step-by-step explanation:

using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650

no of teenagers = 10

Answer:

I can't see it clearly but I can explain to you how to graph it on a number line :)

Step-by-step explanation:

Imagine the sign pooping the other way. Like > ___ The sign is pooping a LINE where the shorter angle is. So if the inequality was x>3 , You would put a dot on the 3 and do a line going right. Now to figure out if the dot is open or closed, it depends on the sign. If the sign is open, the sign is either > or <. If it is closed, the sign is either ≥  or ≤.

Answer:

b

Step-by-step explanation:

Answer: C 28

The above person is correct

Step-by-step explanation:

The sphere can be considered as the strongest shape in nature

There are several shapes that are used when the aspect of  strength is important. The arc is the strongest structural shape, and in nature, the sphere is the strongest 3-d shape. This is due to the stress which is distributed equally along the arc instead of concentrating at any one point.

The triangle has three corners to support its load, the square has four, the hexagon has six and the octagon has eight corners whereas the circle can be considered as having 360 corners. So, the circle is by far the strongest shaped column.

Therefore, the strongest shape is the Sphere.

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Answer:

y= 0x+4

Step-by-step explanation:

This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.

Connection between normal probabilities and empirical rule links to an external site probability is 0.95 probability is 0.02.

The parts from a supplier in an average  have a mean value  of 31.8 inches and a standard deviation value  of 2.4 inches. Probability is 0.02, which is inconsistent with the.

Probability is basically the chances of something happening . The theoretical probability is the form of probability that is  based on the reasoning behind probability. For example, if a coin is tossed than the theoretical probability of the chance or outcome of getting a head will be ½.

Probability is the branch of mathematics that basically deal for outcome of something or the chances of getting the favorable outcome four main types of probability exist: classical, empirical, subjective and axiomatic.

Probabilities always range between 0 and 1. The formula to find the  probability can be expressed as: Probability =Favorable number of Outcomes / Total Number of Outcomes. or. P(A) = f / N.

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ANSWER

B. asymptote: y = 0

y-intercept: (0, 1)

EXPLANATION

The horizontal asymptote is a constant value of y to which the function approaches when x goes to -∞ or to ∞. In this case, the function approaches the x-axis - which is y = 0, as x goes to -∞.

The y-intercept is the point where the graph intersects the y-axis, so the x-coordinate is always 0. In this case, the y-coordinate where the graph intersects the y-axis is 1,

Hence, the horizontal asymptote is y = 0 and the y-intercept is the point (0, 1).