give the required elements of the hyperbola y^2/9-x^2/81=1
The hyperbola opens:
Vertically
Horizontally

Answer:

To write a slope-intercept equation from a graph, find the point where the graph crosses the y-axis, b, and the slope, m, and plug them into the equation y=mx+b.

Step-by-step explanation:

3

Answer:

460 yards

Step-by-step explanation:

3 feet are in a yard so 276 feet / 1 second * 1 yard / 3 feet=92 yards per second

92 * 5 = 460 yards

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can travel 3 miles in 60 minutes.

The man can travel 1 mile in 20 minutes.

We have,

A car travels 276 feet each second.

This can be written as:

276 feet = 1 second

Multiply both sides by 5 we get,

5 x 276 feet = 5 x 1 second

1380 feet = 5 second ____(1)

1 yard = 3 feet

Multiply both sides by 460.

460 x 1 yard = 460 x 3 feet

460 yard = 1380 feet ____(1)

From (1) and (2) we get,

460 yard = 5 seconds

Thus,

If the car travels at a speed of 276 feet per second, the number of yards the race car travels in 5 seconds is 460 yards.

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Answer:

1.2 ft per second

Step-by-step explanation:

The toy robot move 0.83 feet in one second.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A toy robot moves 10 feet in 12 seconds at a constant speed.

Now,

At a constant speed,

In 12 second = 10 feet

So, In 1 second = 10 / 12 feet

                        = 0.83 feet

Thus, The robot move 0.83 feet in one second.

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Answer:

x^2 - y^2 = 1 - 4 = -3

Step-by-step explanation:

sub the given number then minus

Answer:

Point form: (\(\frac{1}{2}\),-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Answer:

0.3

Step-by-step explanation:

If the direction of the line in coordinate form passing through the point (-3, -6,6)  is j, then the line is parallel to the y-axis, the final coordinate form is l(t) = (-3, 4t - 6, 6)

The x-coordinate and z-coordinate of any point on the line will be the same as the x-coordinate and z-coordinate of the given point (-3, -6, 6), respectively. The y-coordinate of any point on the line will be equal to -6 plus some multiple of the direction vector j, which has coordinates (0, 1, 0). Therefore, the line can be described by the following coordinate form:

l(t) = (-3, -6 + t, 6)

where t is any real number representing the parameter that moves along the direction of the line. To write this in a more simplified form, we can rewrite the y-coordinate as -6 + t = 4t - 6, since we want to write it in terms of the direction vector j. Therefore, the final coordinate form of the line passing through (-3, -6, 6) in the direction of j is:

l(t) = (-3, 4t - 6, 6)

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Answer:

A = 36 m²

Step-by-step explanation:

The area (A) of a kite is calculated as

A = \(\frac{1}{2}\) d₁ d₂ ( d₁, d₂ are the diagonals )

Here d₁ =  4 + 5 = 9 and d₂ = 4 + 4 = 8 , then

A = \(\frac{1}{2}\) × 9 × 8 = \(\frac{1}{2}\) × 72 = 36 m²

The slope of the least squares regression line is 1.0 and the y-intercept is 6.3

To do this, we enter the data values in a graphing calculator, and we interpret the results:

Using a graphing calculator, we have the following calculation summary

The slope (b) is calculated using:

b = SP/SSX

This gives

b = 365.5/356.83

b  = 1.0

Hence, the slope is 1.0

The y-intercept (a) is calculated using:

a = MY - bMX

a = 20.5 - (1.02*13.83)

a = 6.3

Hence, the y-intercept is 6.3

In (a), we have:

R = 0.8728

Approximate

R = 0.9

This means that the correlation coefficient is 0.9

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Answer:

F has greater starting number of 7, both the patterns have common difference of 4. Their difference in corresponding terms is 7.

Correct choice is C

Answer:

Step-by-step explanation:

The way I understand (remember) the problem is....

you want to evaluate h(x)   by substituting 2 in for x's  

then substitute the value for h(2)  into  f(x) to get the answer

evalute f(h(2)) by following the parentheses  

h(x) = x² - 3x - 4        evaluate when x = 2

h(2) = 2² - 3(2) - 4

      =  4  - 6  -  4

h(2)  =  -6              so now -6   is the new x in the f(x) equation

f(x)   = 3x - 6

f(-6) = 3(-6) - 6

      =  -18 - 6

      =  -24

so             f(h(2))  = -24                        

Notice that the given equations are lines in slope-intercept form.

The slope of both equations is 5, but its y-intercepts are different, therefore the graphs of the given equations are different parallel lines, therefore, they have no common points.

Since the graphs of the equations have no common points the system of equations has no solutions.

Answer: No solution.

Step-by-step explanation:

Q3

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

Q4

(a) Yes.  If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No.  f(1) = 300, so even if δ = 0, f(x) will be less than 400.

(c) Yes.  If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.

The ratio of red sweets to yellow sweets in the bag is 3 : 2

Ratio is the number representing a comparison between two named things.

Ratio of yellow sweets in the bag = Total sweets in the bag - Ratio of red sweets in the bag

= x - 3/5x

= 5x - 3x/ 5x

= 2x / 5

= 2/5x

Total ratio = ratio of red sweets + ratio of yellow sweets

x = 3/5x + 2/5x

x = (3x+2x) / 5

x = 5x/5

x = 5

In conclusion, the total number of red and yellow sweets in the bag is 5

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Answer:

The equations is t = 1/4n + 40

The slope is 1/4 and the y-intercept is 40

t is the temperature.

n is the number of chirps per minute.

Step-by-step explanation:

The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.

a) Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45b) Find the probability that less than 45% of sampled teenagers own smartphonesc) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?a)Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45We know that the proportion of teenagers aged 12-17 who own smartphones is 0.38. Now, we need to find the probability that the proportion of sampled teenagers who own smartphones is between 0.35 and 0.45.The sample size is 120.Let P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z scores for both sides, i.e. for 0.35 and 0.45.z1 = (0.35 - 0.38) /0.048 = -0.625z2 = (0.45 - 0.38) /0.048 = 1.458Hence, P(0.35 < p < 0.45) is equal to P(-0.625 < z < 1.458).The probability can be calculated using standard normal tables, which gives 0.5763. Therefore, the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45 is 0.5763.b) Find the probability that less than 45% of sampled teenagers own smartphonesLet P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z score as follows:z = (0.45 - 0.38) /0.048 = 1.458We must find the probability that a randomly selected teenager from the sample has less than 0.45 probability of owning a smartphone. This probability can be calculated using a standard normal table. P(z < 1.458) = 0.9265, thus, the probability that less than 45% of sampled teenagers own smartphones is 0.9265.c) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?For this, we need to find the Z-score of 0.30.z = (0.30 - 0.38) /0.048 = -1.667The probability is obtained using a standard normal table. The probability is 0.0475. The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.

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There may or may not exist a basis for mathbb{R}^2 consisting of eigenvectors for matrix A. Whether or not such a basis exists depends on the matrix A itself. If matrix A is diagonalizable, then it has a basis consisting of eigenvectors. However, not all matrices are diagonalizable. For example, a matrix with only one eigenvalue may not be diagonalizable. Therefore, it is not possible to say for certain whether or not a basis for mathbb{R}^2 consisting of eigenvectors for A exists without more information about A.

If something went wrong in part (b) of the question, it may be due to the fact that the matrix A is not diagonalizable and therefore does not have a basis consisting of eigenvectors. In such cases, the Jordan normal form can be used to find a generalized basis consisting of eigenvectors and generalized eigenvectors. This may be more complicated than simply finding a basis consisting of eigenvectors, as it involves finding additional vectors to complete the basis. If the problem in part (b) assumed that a basis for mathbb{R}^2 consisting of eigenvectors for A exists, then it would not be a valid assumption if A is not diagonalizable.

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Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

x=-2 and y=4 or x=4 and y=-2

Step-by-step explanation:

put the value for y (first equation) in for the y in the second equation so it is x+x^2-3x-6=2

simplify

x^2-2x-8=0

factor and you get (x-4)(x+2)=0

(x-4)=0.      x=4

x+2=0        x=-2

now insert that back into x+y=2

and you get

y=-2

y=4

respecitvely

Hope this helps :)

Answer:

356.4

r =4

h =12

just put it in this formula

2 pie r ( r + h )

GOOD LUCK FOR THE FUTURE! :)

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The statements A is true Intermediate value theorem, B is false mean value theorem, C is true extreme value theorem and D is true.

Given that,

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The function f is continuous.

A is true, From the figure.

Intermediate value theorem is let [a,b]be a closed and bounded intervals and a function f:[a,b]→R be continuous on [a,b]. If f(a)≠f(b) then f attains every value between f(a) and f(b) at least once in the open interval (a,b).

B is false because, mean value theorem, Let a function f:[a,b]→R be such that,

1. f is continuous on[a,b] and

2. f is differentiable at every point on (a,b).

Then there exist at least a point c in (a,b) such that f'(c)=(f(b)-f(a))/b-a

In the B part, the differentiability is not given do mean value theorem can be applied.

C is true because the extreme value theorem, if a real-valued function f is continuous on the closed interval [a,b] then f attains a maximum and a minimum each at least once such that ∈ number c and d in[a,b] such that f(d)≤f(x)≤f(c)∀ a∈[a,b].

D is true.

Therefore, The statements A is true, B is false, C is true and D is true.

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Answer:

1.5

Step-by-step explanation:

So 1% goes on office work

and 1%=0.01

Then we can multiply 0.01 by 150 to get the answer:)

plz give brainliest:)

Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

Answer:

Let the maximum time be x

She can work 30 hrs or below ( maximum of 30 hrs)

Therefore, the equation is

\( \huge \boxed{x \leqslant 30 \: hours}\)

Answer:

0.69465837 is the answer

Answer:

  a) 21,600 square miles

  b) the map will be reduced to 50% of its original size. 1 in = 60 miles

Step-by-step explanation:

You have a 4-in by 6-in map of a park with a scale of 1 in : 30 miles, and you want to know the actual area of the park, the reproduction factor to fit the map in 6 square inches, and the new scale of the map at that size.

The 4-inch dimension of the map corresponds to an actual length of ...

  (4 in)(30 mi)/(1 in) = 120 mi

Similarly, the 6-inch dimension represents ...

  (6 in)(30 mi)/(1 in) = 180 mi

The area of the park is the product of its dimensions:

  (120 mi)(180 mi) = 21,600 mi²

The area of the park is 21,600 square miles.

The area of the current map is (4 in)(6 in) = 24 in². The ratio of the reduced area to this original area is the square of the reduction scale factor:

  k² = (6 in²)/(24 in²) = 1/4

  k = √(1/4) = 1/2

The map must be reproduced at 1/2 its original size.

At this scale, the scale of the map is ...

  (1/2 in) : (30 mi) = (1 in) : (60 mi)

It will be 1 inch for every 60 miles.

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Answer:

.82^5 = ? I dont think it helps

Step-by-step explanation:

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Susan will pay $466.24 for the television to the nearest dollar. The answer is $466. B

Television can be defined as electronic system of transmitting images with sound over a wire.

The television is on sale for 25% off, so its sale price is $689.99 - (25% * $689.99) = $517.49.

As an employee, Susan can save an extra 10% off the sale price, so her discount is $517.49 - (10% * $517.49) = $466.24.

So, Susan will pay $466.24 for the television to the nearest dollar. The answer is $466.

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Answer:

264 sq. in.

Step-by-step explanation:

The easiest way to find the lateral surface area is to multiply the perimeter of the base times the height.

In your case the perimeter of the base is 2(8) + 2(3) = 16 + 6 = 22

The height is 12, so multiply 12 times 22 = 264 sq. in.