what is the difference between hyperbola and parabola??​

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

1st picture

Option A,C,D and E

2nd Picture

Melissa's toy car: 2 (ones), 7 (tenth), 2 (hundredth), 5 (thousandth)

Charles's toy car:  2 (ones), 7 (tenth), 5 (thousandth)

Keyshawn's toy car: 2 (ones), 7 (tenth), 4 (hundredth), 5 (thousandth)

Who traveled farther?

Ans) Keyshawn traveled farther because compared to Melissa and Charles, Keyshawn took lesser time than Melissa and Charles.....

Hope it helps!

Brainliest plss!

Follow me! :)

The points on the curve where the tangent is horizontal are:

(2(0)^3 + 3(0)^2 - 12(0), 2(0)^3 + 3(0)^2 + 1) = (-12, 1)

and

(2(-1)^3 + 3(-1)^2 - 12(-1), 2(-1)^3 + 3(-1)^2 + 1) = (-17, 0)

The points on the curve where the tangent is vertical are:

(2(1)^3 + 3(1)^2 - 12(1), 2(1)^3 + 3(1)^2 + 1) = (-6, 6)

and

(2(-2)^3 + 3(-2)^2 - 12(-2), 2(-2)^3 + 3(-2)^2 + 1) = (-56, -11)

(a) The points on the curve where the tangent is horizontal are:

(-12, 1) and  (-17,0).

To find the points on the curve where the tangent is horizontal, we need to find where the derivative of y with respect to x, dy/dx, is zero. We can find dy/dx using the chain rule:

dy/dx = dy/dt / dx/dt

where

dy/dt = 6t² + 6t

dx/dt = 6t² + 6t - 12

Substituting these into the expression for dy/dx, we get:

dy/dx = (6t² + 6t) / (6t² + 6t - 12)

To find where dy/dx is zero, we set the numerator equal to zero and solve for t:

6t² + 6t = 0

t(6t + 6) = 0

t = 0 or t = -1

So, the points on the curve where the tangent is horizontal are:

(2(0)^3 + 3(0)^2 - 12(0), 2(0)^3 + 3(0)^2 + 1) = (-12, 1)

and

(2(-1)^3 + 3(-1)^2 - 12(-1), 2(-1)^3 + 3(-1)^2 + 1) = (-17, 0)

(b) The points on the curve where the tangent is vertical are:

(-6, 6) and (-56, -11)

To find the points on the curve where the tangent is vertical, we need to find where dx/dt is zero, since this corresponds to vertical tangents. We can solve for t as follows:

dx/dt = 6t² + 6t - 12 = 0

t² + t - 2 = 0

(t + 2)(t - 1) = 0

So the points on the curve where the tangent is vertical are:

(2(1)^3 + 3(1)^2 - 12(1), 2(1)^3 + 3(1)^2 + 1) = (-6, 6)

and

(2(-2)^3 + 3(-2)^2 - 12(-2), 2(-2)^3 + 3(-2)^2 + 1) = (-56, -11)

To know more about tangent refer here:

https://brainly.com/question/31136045#

#SPJ11

The terms "experiment" and "number" are relevant to this question. As for the answer choices, it seems like the appropriate option would be that the sample has no issue of bias and the results can be trusted, as the experiment used a controlled group of identical twins to ensure accuracy. The term "target" is not particularly relevant to this question.

In this experiment, the target population is the sets of identical twins. The number of participants involved is twenty sets of twins. The purpose of the experiment is to investigate whether using fluoride mouthwash after brushing can reduce the number of cavities. The experiment used twenty sets of identical twins to investigate whether using fluoride mouthwash after brushing reduces cavities. One member of each set of twins used the mouthwash after each brushing, while the other did not. After six months, the number of cavities for those using the mouthwash was compared with the number of cavities for those who did not use the mouthwash.

The experiment is conducted by having one member of each set of twins use the mouthwash after each brushing, while the other member does not. After six months, the difference in the number of cavities between those who used the mouthwash and those who did not are compared.

From the given information, it is not possible to definitively conclude if there are any issues of bias or if the results can be trusted. However, this experiment does provide some insight into the potential effectiveness of fluoride mouthwash in reducing cavities, as it compares the outcomes within sets of identical twins, who share similar genetic and environmental factors.

Learn more about Number:

brainly.com/question/17429689

#SPJ11

To find the exact length of the curve, we can use the arc length formula: L = ∫[a,b] √(dx/dt)² + (dy/dt)² dt.

Given the parametric equations x = 6 + 9t², y = 4 + 6t³, we need to find the derivative of x and y with respect to t: dx/dt = 18t; dy/dt = 18t². Now, we can substitute these derivatives into the arc length formula and integrate: L = ∫[a,b] √(18t)² + (18t²)² dt ; L = ∫[a,b] √(324t² + 324t⁴) dt; L = ∫[a,b] 18√(t² + t⁴) dt.

To find the limits of integration, we need to determine the values of t that correspond to the given curve. Since no specific limits were provided, we'll assume a and b as the limits of integration.

To learn more about arc length click here: brainly.com/question/29021920

#SPJ11

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Among any group of five integers, there are at least two with the same remainder when divided by 4.

To show that among any group of five integers, there are two with the same remainder when divided by 4, we'll use the Pigeonhole Principle. Here's a step-by-step explanation:

1. Consider the four possible remainders when dividing an integer by 4: 0, 1, 2, and 3.
2. Imagine these remainders as "boxes," where each integer will go into its respective remainder box.
3. We have five integers and four boxes. The Pigeonhole Principle states that if there are more "pigeons" (integers) than "holes" (boxes), at least one hole must contain two or more pigeons.
4. Since we have five integers and only four possible remainders, at least one of these remainder boxes must have two integers.

Learn more about Pigeonhole Principle concept here: brainly.com/question/30319732

#SPJ11

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

The number of participants changed at -60 contestants from the second to the fourth round

The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.

When x=2, f(x) = 128

when x = 4, f(x) = 8

Rate of change:

8-128/4-2 = -60

As the tournament draws closer to the final, the number of competitors is decreasing at this fluctuating rate.

The average rate at which the number of participants changed from the second round to the fourth round was -60 contestants per round.

Learn more about rate of change:

https://brainly.com/question/12786410

#SPJ4

A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.

Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:

∫0.3^10 g(x) dx = 1

Using this information, we can find g(y) by integrating g(x) with respect to x:

g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7

Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):

f(x,y) = g(y) = 1 / 9.7

We need to find the integral of f(x,y) over the rectangle R, which is:

∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928

Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.

To know more about continuous function visit:

https://brainly.com/question/30501770

#SPJ11

The volume of the shaded solid is 1953.03 cubic inches if the volume of the unshaded part is 53.33π cubic inches.

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

The volume of the cone = πr²h/3

The volume of a complete cone V = π(9)²(25)/3

Because r = 18/2 = 9 in

h = 15+10 = 25 in

V = 675π cubic inches

Volume of the unshaded part v = π(4)²(10)/3

Here r = 8/2 = 4 inches

h = 10 inches

v = 53.33π cubic inches

The volume of the shaded solid = V - v

= 675π - 53.33π = 621.67π cubic inches

= 1953.03 cubic inches

Thus, the volume of the shaded solid is 1953.03 cubic inches if the volume of the unshaded part is 53.33π cubic inches.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

Answer: yoink

Step-by-step explanation:

Answer:

given: 300km in 6 hours

formula: a÷b=x

work: 300÷6=x

          50= x

answer: the avrage

speed of the car is 50km an hour

Step-by-step explanation:

Answer:

56.........................

Answer:

4

Step-by-step explanation:

2 people chose 1/3

2 people chose 1/2

2+2=4

Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

You can learn more about NEC® at: brainly.com/question/32221741

#SPJ11

The nurse should administer 19.958 mg of furosemide per dose to the toddler.

To use the unitary method, we need to convert the toddler's weight from pounds to kilograms, as the dose is given in mg/kg/day.

1 lb = 0.45359237 kg (conversion factor)

Therefore, the toddler's weight in kilograms is

22 lb x 0.45359237 kg/lb = 9.979 kg (rounded to three decimal places)

Now we can calculate the total daily dose of furosemide for the toddler

4 mg/kg/day x 9.979 kg = 39.916 mg/day (rounded to three decimal places)

Since the dose is divided into 2 equal doses daily, each dose would be half of the total daily dose

39.916 mg/day ÷ 2 = 19.958 mg/dose (rounded to three decimal places)

Learn more about unitary method here

brainly.com/question/22056199

#SPJ4

The p-value can be found with the F-distribution table or statistical software. If the p-value is less than or equal to α, then answer is option (a),If the p-value is greater than α, then answer is option (b).

To determine the correct statistical decision based on the given F-statistic, F (3, 12) = 2.72, we need additional information such as the significance level (α) of the hypothesis test. The significance level is a predetermined threshold that is used to assess the statistical significance of the results.

The correct decision depends on whether the calculated p-value, which quantifies the strength of evidence against the null hypothesis, is less than or equal to the significance level (α).

To find the p-value, you would need the F-distribution table or statistical software.

Once you have the p-value, you can compare it to the significance level (α) to make a decision:

If the p-value is less than or equal to α, you would reject the null hypothesis, indicating a statistically significant mean difference.

If the p-value is greater than α, you would fail to reject the null hypothesis, suggesting that there is not a statistically significant mean difference.

Therefore, without the significance level or the p-value, it is not possible to determine the correct statistical decision.

Learn more about p-value here:

https://brainly.com/question/30461126

#SPJ11

a) The probability that Dwight signs 6 new clients in a randomly selected week is approximately 0.1047

b) The probability that Dwight signs at least 3 new clients in a randomly selected week is approximately 0.7227.

Let X be the number of new clients that Dwight signs in a randomly selected week. Since X follows a Poisson distribution with an average rate of 3.7 new clients per week, we can write:

P(X = x) = \((e^{-\lambda} \times \lambda ^x)\) / x!, x = 0, 1, 2, ...

where λ is the average rate and e is the mathematical constant e ≈ 2.71828.

a) Probability that Dwight signs 6 new clients:

To calculate this probability, we need to substitute x = 6 and λ = 3.7 into the above formula:

P(X = 6) = (\(e^{-3.7}\) x 3.7⁶) / 6! ≈ 0.1047

b) Probability that Dwight signs at least 3 new clients:

To calculate this probability, we need to sum the probabilities of signing 3, 4, 5, 6, and so on, new clients. Since the Poisson distribution is a discrete probability distribution, we can use the cumulative distribution function (CDF) to compute this probability:

P(X ≥ 3) = 1 - P(X < 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

Substituting λ = 3.7 into the Poisson probability formula, we get:

P(X = 0) = \(e^{-3.7}\) x 3.7⁰ / 0! ≈ 0.0240

P(X = 1) = \(e^{-3.7}\) x 3.7¹ / 1! ≈ 0.0890

P(X = 2) = \(e^{-3.7}\) x 3.7² / 2! ≈ 0.1643

Therefore,

P(X ≥ 3) = 1 - 0.0240 - 0.0890 - 0.1643 ≈ 0.7227

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

For DNA testing the most popular and reliable way to collect samples is the oral buccal swab method.

What is DNA testing?

The Polymerase Chain Reaction (PCR) is the most used type of DNA analysis (PCR). Because PCR testing has improved the success rate of the analysis of old, deteriorated, or extremely tiny biological evidential materials, it has significantly advanced the area of forensic DNA testing.

Businesses compare their data from a database that might not yield conclusive findings. The majority of DNA testing businesses base their DNA accuracy checks on common genetic variants that can be identified in their database. As a result, if you employ various businesses, you can obtain different outcomes.

To learn more about DNA accuracy  visit:https://brainly.com/question/12459304

#SPJ1

(a) shows that every pair of opposite sides in the hexagon a′b′c′d′e′f′ are parallel and equal in length. On the other hand, (b) demonstrates that the triangles a′c′e′ and b′d′f′ have equal areas.

(a) To show that every pair of opposite sides in hexagon a'b'c'd'e'f' are parallel and equal in length, we can use the fact that the centroids of triangles divide the medians into segments of equal length.

Let's consider a'b' and d'e'. The centroid of triangle fab, a', divides the median fb into two segments, a'f and a'b', such that a'f = 2/3 * fb. Similarly, the centroid of triangle def, e', divides the median de into two segments, e'd and e'f', such that e'd = 2/3 * de.

Since fb = de (opposite sides of hexagon abcdef), we have a'f = e'd. Now, we can consider the triangles a'f'd' and e'df'. By the properties of triangles, we know that if two sides of a triangle are equal, and the included angles are equal, then the triangles are congruent.

In this case, a'f' = e'd' (as shown above) and angle a'f'd' = angle e'df' (corresponding angles). Therefore, triangle a'f'd' is congruent to triangle e'df'.

By congruence, the corresponding sides a'd' and e'f' are equal in length.

By similar reasoning, we can show that b'c' and e'f', as well as c'd' and f'a', are parallel and equal in length.

(b) To show that triangles a'c'e' and b'd'f' have equal areas, we can use the fact that the area of a triangle is one-half the product of its base and height.

In triangle a'c'e', the base is c'e' and the height is the perpendicular distance from a' to c'e'. Similarly, in triangle b'd'f', the base is d'f' and the height is the perpendicular distance from b' to d'f'.

Since opposite sides in hexagon a'b'c'd'e'f' are parallel (as shown in part (a)), the perpendicular distance from a' to c'e' is equal to the perpendicular distance from b' to d'f'.

Therefore, the heights of triangles a'c'e' and b'd'f' are equal. Additionally, the bases c'e' and d'f' are equal (as shown in part (a)).

Using the area formula, area = 1/2 * base * height, we can see that the areas of triangles a'c'e' and b'd'f' are equal.

Hence, we have shown that triangles a'c'e' and b'd'f' have equal areas.

Learn more about centroid  here https://brainly.com/question/29148732

#SPJ11

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

To know more about matrix,

https://brainly.com/question/31494894

#SPJ11

Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

4/5

Step-by-step explanation:

if log 32 base 4 = x, then 32^x = 4 -> x = 2/5

if log 243 base 9 = y, then 243^y=9 -> y = 2/5

therefore, the answer is 2/5+2/5=4/5

Answer:

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

Find each area and then find their difference.

The difference is:

In this scenario, the null hypothesis states that a surgical procedure is successful at least 80% of the time, while the alternative hypothesis claims that it is less than 80% successful.

In hypothesis testing, Type II error occurs when the null hypothesis is not rejected even though it is false. The Type II error, denoted by β, would occur if we fail to reject the null hypothesis even though it is false, i.e., when the actual success rate of the surgical procedure is less than 80%.

Therefore, β represents the probability of accepting the null hypothesis when the alternative hypothesis is true. It is also known as the false negative rate, as it occurs when we fail to detect a significant difference between the sample and population due to random chance or other factors.

The value of β depends on various factors, such as the sample size, significance level, and effect size. To calculate β, we need to specify these values and use statistical software or tables to find the probability of Type II error.

To learn more about error click on,

https://brainly.com/question/13138172

#SPJ1

Answer:

The approximate probability that she checked a social website first and then a school-related website is 0.267.

Step-by-step explanation:

Given that a student wants to check six websites, and four of the websites are social and two are school-related, and after checking just two sites, she has to leave for school, to determine what is the approximate probability that she checked a social website first, then a school-related website, the following calculation should be performed:

4/6 x 2/5 = X

0.26666666 = X

Therefore, the approximate probability that she checked a social website first and then a school-related website is 0.267.

Answer:

B. 0.267    The guy above me is correct!

Step-by-step explanation:

Edge 2021  Got a 100% on the test

In a process system with multiple processes, the cost of units completed in Department One is transferred to WIP (Work in Progress) in Department Two.

Here's a step-by-step explanation:

1. Department One completes units.

2. The cost of completed units in Department One is calculated.

3. This cost is then transferred to Department Two as Work in Progress (WIP).

4. Department Two will then continue working on these units and accumulate more costs.

5. Once completed, the total cost of units will be transferred further, either to Finished Goods Inventory or Cost of Goods Sold.

Remember, in a process system, the costs are transferred from one department to another as the units move through the production process.

To know more about cost of units refer here:

https://brainly.com/question/13873791

#SPJ11

Jas is incorrect, and that may be because she graphed incorrectly one of the functions.

The correct solution for the system is: (1.75, 2.25)

To solve a system of equations graphically, we need to graph the two equations on the same coordinate axis and find the points where the two graphs intercept.

Here the system of equations is:

y = 3x -3

2x + 2y = 8

The graph is below. There we can see that the intercept is at (1.75, 2.25)

So Jas got an incorrect answer, and that may be because she graphed incorrectly one or both of the equations.

Learn more about systems of equations:

https://brainly.com/question/28405823

#SPJ1

Answer:

6(2x³-3)

Step-by-step explanation:

To factor the expression: 12x³−18:

We rewrite 12x³ as 6×2x³

And rewrite -18 as -6×3

6×2x³-6×3

Take out the common factor of 6:

6(2x³-3)

This is our answer
Brainliest please!

Answer:

8-r/-2

8-12/-2

-4/-2

2

This is the answer

I think this will help you