Solve for the variables and show work please

The graph of a quadratic function is known as parabola, the standard equation for a typical parabola is y²= 4ax.

The quadratic function's curve is a parabola in shape. A parabola, according to Pascal, is a circle's reflection. Galileo described the parabolic route that projectiles take as they fall under the influence of equal gravity. In arithmetic the parabola is any planar curve that is symmetrical in shape and typically resembles a U shape. Understanding the parabola's normal equation, its several conventional forms, and its properties is what we aim to do here.

Equation of a parabola:

A parabola's general equation is y = a(x-h) ² + k

or x = a(y-k) ² +h

where (h,k) denotes the vertex.

The formula for a regular parabola is stated as y² = 4ax.

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The complete question is as follows:

What do we call the graph of a quadratic function?

Answer:

1/8= 0.125

To have a percentage, multiply by 100

0.125 x 100 = 12.5%

Hope this helps ! : )

Answer:

B. 120

Step-by-step explanation:

10% = \(\frac{10}{100}\)

No. of left-handed students = \(\frac{10}{100}\) × 1,200

                                              = 120

Answer:

B-120

Step-by-step explanation:

place them in the formula;

(1200x10)/100 = 120

Answer:

-26

Step-by-step explanation:

2 × 3 + 4 − 6^2

PEMDAS

exponents are first in this equation

2 × 3 + 4 − 36

Then multiply

6 +4 -36

Then add and subtract from left to right

10-36

-26

Answer:

A) -26

Step-by-step explanation:

2 * 3 + 4 - 6²

Use PEMDAS to figure out the equation.

Pass parenthesis since there are none in the equation.

Evaluate all of the exponents.

2 * 3 + 4 - 36

Evaluate all of the multiplication in the equation.

6 + 4 - 36

Pass division since there isn't any in the equation.

Evaluate all of the addition in the equation.

10 - 36

Evaluate all of the subtraction in the equation.

-26.

Answer:

Third Option: \(x=6\) or \(x=-3\)

Step-by-step explanation:

\(x^2+9x+18=0\)

\((x+6)(x+3)=0\)

\(x=6\) or \(x=-3\)

The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

According to the statement

we have to find the point which they intersect the given plane.

So, For this purpose, we know that the

The given equations is :

x = 5 − t, -(1)

y = 2 + t,  -(2)

z = 3t -(3)

And the given plane is :

x − y + 4z = 13  -(4)

And, the intersection of plane point is :

Put the equations 1 and 2 and 3 in the 4th equations then

(5 − t) - (2 + t) + 4(3t) = 13

3 - 2t + 12t = 13

3 + 10t = 13

10t = 10

Then

t = 1

Put these values in 1 and 2 and 3rd equation then the value of x y z become

x = 5 − t, -(1)

x = 5 -1

x = 4

And

y = 2 + t,  -(2)

y = 2 + 1

y = 3

And

z = 3t -(3)

z = 3(1)

z = 3.

The value of (x,y,z) = (4,3,3).

So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

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Answer: mean= 24.2 and the standard deviation is 6.0 :)

Step-by-step explanation: this is because when you solve for the equation the result for the standard deviation is 6.3 but if you round the number, it becomes 6.0, being the standard deviation.

In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

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eight million four hundred nine thousand one hundred twenty

Answer:

eight million, four hundred nine thousand, one hundred twenty

Step-by-step explanation:

TO GET THE VALUE OF 5t YOU SHOULD FIRST SOLVE FOR t IN THE GIVEN EQUATION

\( \frac{6t}{6} = \frac{44.4}{6} \\ t = 7.4\)

THEREFORE TO GET THE VALUE OF 5t PLUG IN THE VALUE OF t AND SIMPLIFY

\( = 5(7.4) \\ = 37\)

THE ANSWER IS 37.

Answer:

To find the value of 5t, we can simply divide the given equation 6t = 44.4 by 6 to get t = 7.4. Then, we can multiply 7.4 by 5 to get 5t = <<5*7.4=37>>37.

Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

Answer:(4,-25)

Step-by-step explanation:

Answer

Step-by-step explanation:

i dont know but pls dont hate me no one anserd for 15 hours so i took some points

Answer:i thing the anwser is 56

Step-by-step explanation:

The boat travels at  18 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed.

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

Given:  A boat travels 30 miles up the river in the same amount of time it takes to travel 42 miles down the same river. The current is 3 miles per hour.

From the above information we can write,

Let, u is the boat speed in still water, then

\(\frac{30}{u-3} = \frac{42}{u+3}\)

Taking cross multiplication,

30(u + 3) = 42(u - 3)

Solving,

30u + 90 = 42u - 126

42u - 30u -126 -90 = 0

12u = 216

u = 18

Therefore, the speed of boat in still water is, 18 miles per hour.

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The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer: Rotation

Step-by-step explanation: The shape is not moving or reflecting in any way. It is just rotating.

Answer:

.

Step-by-step explanation:

.

Answer:

i belive its x^2 + y^2 = 8

Step-by-step explanation:

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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The probability that the service technician will have to work overtime to fix the machine today is 50%.

Given data: It is 3:00 P.M. and service technicians usually get off at 5:00 P.M. A service call has just come in, but the type of malfunction is unknown. We are required to find the probability the service technician will have to work overtime to fix the machine today. Since, it is unknown that the service technician will have to work overtime to fix the machine today, therefore, we cannot find the exact probability of this occurrence. However, if we assume that the probability of the service technician having to work overtime to fix the machine is 0.5 (50%), then the probability that the service technician will have to work overtime can be found as follows: If the service technician does not have to work overtime, then he/she will have two hours to fix the machine, i.e., until 5:00 P.M. If he/she has to work overtime, then he/she will have less than two hours to fix the machine. If we assume that the service technician can fix the machine in one hour, then the probability of him/her having to work overtime is the probability that the machine will take longer than one hour to fix. Since, the probability of the machine taking longer than one hour to fix is 0.5, therefore the probability that the service technician will have to work overtime to fix the machine is 0.5 * 1 = 0.5 or 50%. Therefore, the probability that the service technician will have to work overtime to fix the machine today is 50%.

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The transformation maps triangle ABC onto triangle DEF is

If ABC is reflected across the y-axis, the coordinates of A'B'C' will be

A' (4, 4)

B' (1, 1)

C' (4, 1)

Reflection across the y-axis is a transformation that involves flipping an object or a point over the y-axis.

In this transformation, each point (x, y) in the original figure is mapped to a new point (-x, y) on the reflected figure.

in the preimage ABC has coordinates

A (-4, 4)

B (-1, 1)

C (-4, 1)

The new point (-x, y) will be

A' (4, 4)

B' (1, 1)

C' (4, 1)

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The function \(f(x)=(logn)2+2n+4n+logn+50 belongs to the Θ(n)\) complexity category, in accordance with the big theta notation.

Let's get started with the solution to the given problem.

The given function is:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

The term 4n grows much more quickly than logn and 2n.

So, as n approaches infinity, 4n dominates these two terms, and we may ignore them.

Thus, the expression f(x) becomes:

\(f(x) ≈ (logn)2 + 4n + 50\)

Next, we can apply the big theta notation by ignoring all of the lower-order terms, because they are negligible.

Since 4n and (logn)2 both grow at the same rate as n approaches infinity,

we may treat them as equal in the big theta notation.

Therefore, the function f(x) belongs to the Θ(n) complexity category as given in the question,

which is a correct option.

Alternative way of solving:

Given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

Hence, we can find the upper and lower bounds of the given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50<= 4n(logn)2 (\)\(using the upper bound of the function)\)

\(f(x) = (logn)2 + 2n + 4n + logn + 50>= (logn)2 (using the lower bound of the function)\)

So, we can say that the given function belongs to Θ(n) category,

which is also one of the options mentioned in the given problem.

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Answer:

the ans is 73/96 how i got this ans is in the picture

(hope it helps can i plz have brinlist it will make my day :D hehe)

Step-by-step explanation:

NO 12/6 IS NOT A INTEGER

Step-by-step explanation:

A INTEGER IS A NUMBER WITH A SUBTRACTION SIGN IN FORNT OF IT LIKE -5

Answer:

Darryl's TV is larger by 200 inches2

Step-by-step explanation:

Darryl's tv is 30*40 = 1200 inches2

Terrence's tv is 20*50 = 1000 inches2.

The event of rolling the number 3 consists of only one outcome, which is {3}.

In probability theory, a sample space is the set of all possible outcomes or results of a random experiment. It is denoted by the symbol "S". For example, if you toss a coin, the sample space would consist of two possible outcomes: heads or tails. If you roll a dice, the sample space would consist of six possible outcomes: 1, 2, 3, 4, 5, or 6.

The sample space is an important concept in probability theory because it allows us to determine the probability of an event occurring. An event is a subset of the sample space. For example, if you roll a dice, the event of getting an odd number would be the subset {1, 3, 5}. The probability of an event is the ratio of the number of outcomes in the event to the total number of outcomes in the sample space.

The sample space for rolling a number cube with faces labeled from 1 to 6 is:

{1, 2, 3, 4, 5, 6}

The event of rolling the number 3 consists of only one outcome, which is: {3}

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Answer: oooo those seem like a good deal

Step-by-step explanation:

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

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