factorise 4y^2 - 9
(using factorisation properties)​

Answer:

30

Step-by-step explanation:

perimeter is the outside of a shape so just add them all together honestly

Answer:

Whats your last question?

Answer:

whats the question tho?

Step-by-step explanation:

Answer:

to make one tortilla, you need 0.75, or 3/4 cup of flour for every 1 cup of water

Step-by-step explanation:

Answer:

5x=45

Step-by-step explanation:

Solve: 4+x=12

~ Subtract 4

~ x = 8

~ (not nine)

-----

Solve: 2x=20

- Divide by 2 (isolate x)

- x = 10

- (not nine)

-----

Solve: x+7=26

~ Subtract 7

~ x = 19

~ (not nine)

-----

Solve: 5x=45

- Divide by 5 (isolate x)

- x = 9

- (Nine! Our answer)

Answer:

To calculate the cost of painting the top surface of 20 engine parts, we need to find the surface area of one engine part and then multiply it by 20.

To find the surface area, we need to find the length of the curved surface. We can do this by using the Pythagorean theorem to find AB and then use that to find the circumference of the curved surface.

AB^2 = BO^2 + AO^2 = 9 + 36 = 45

AB = sqrt(45) = 3 sqrt(5)

Circumference = 2 * pi * AB = 2 * pi * 3 sqrt(5) = 6 pi sqrt(5)

Using the fact that the reflex angle BÔC is 240 degrees, we can find the length of the curved surface:

240° / 360° = 2/3 of the circumference

Curved surface length = 2/3 * 6 pi sqrt(5) = 4 pi sqrt(5)

Finally, we can find the surface area of one engine part:

Surface area = (2 * 6 * 3) + (4 pi sqrt(5) * 6) = 36 + (24 pi sqrt(5))

To paint 20 engine parts, the cost would be:

20 * surface area * 15p = 20 * 36 + 20 * 24 pi sqrt(5) * 15p = 720 + (24 * 20 * 15 * pi * sqrt(5)) p = 720 + 720 pi sqrt(5) p

Since 1 pound is equal to 100 pence, the cost in pounds would be:

720 + 720 * pi * sqrt(5) / 100 = 720 + 720 * 0.177 / 100 = 720 + 1.264

So, the cost to paint the top surface of 20 engine parts would be 721.264 pounds.

The participants would probably overestimate the number of awards of films they saw as opposed to those they did not see because of the Availability heuristic when given a list.

The availability heuristic is a decision-making process in which humans rely on easily available and present information to form their ideas. People's overreliance on the available knowledge can lead to overestimation and can distort judgments.

The phenomenon that describes the tendency to overestimate the occurrence of a phenomenon, including the perceived frequency or likelihood of events, is known as the availability heuristic. It occurs when people base their judgments on easily retrievable, readily available information, rather than on facts.

As a result, people can overestimate the frequency of events or phenomena that they recall with ease.

Hence, The participants would probably overestimate the number of awards of films they saw as opposed to those they did not see because of the Availability heuristic.

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Answer:

Step-by-step explanation:

A d d?

Answer:

A≈ 65ft 2

Step-by-step explanation:

Answer:

C. negative three halves

Step-by-step explanation:

Use two points on the line and slope equation to find the slope.

Let the points be (- 4, 4) and (-2, 1).

Then the slope is:

This is same as option C.

Step-by-step explanation:

just try this in calculator

Step-by-step explanation:

questions 8, obviously the mid part of the parabola is 3, that is the axis of symmetry.

question 9, only one solution because you only have one parabola.

As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet.

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

=> yards = feet ÷ 3

Here the equivalent yard measurement is written as,

=> yards = 8 ÷ 3

Then we have to convert the improper fraction into mixed fraction form, then we get,

=> 2 ²/₃ yards.

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im pretty sure its B or most likeley C

Answer:

19

10+9=19

Step-by-step explanation:

Hi

The answer is = 9+10= 19

Answer:

y=x^4-6

y=1/x-2

Step-by-step explanation:

The number of drinks that will be sold for 10 games is 1635 drinks.

The basketball concession stand sold 327 drinks in two games

2 games = 327 drinks

using unitary method

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

1 game = 327/2

1 game = 163.5 drinks

Number of drinks that will be sold for 10 games

10 games = 10 × 1 game

10 games = 10 ×  163.5

10 games = 1635 drinks

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The probability that she selects the route of three specific capitals is 97290/1.

The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.

47 x 46 x 45 ways = 97290 ways

= 1/97290

Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.

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Answer:

213622

Step-by-step explanation:

206000 x 0.037 =7622

206000 + 7622 = 213622

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

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Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The three dimensional figure construction as done by Felix can be completer using the three figures attached

A three dimensional construction refers to construction of objects that can be described using three dimensions of length, width and height or thickness.

The necessary vies are in a three dimensional construction are

Front elevation: This is a view that contains more dimensions, magnitude and details of the object being constructed. If it were to be a house this is the view of the front of the house

The end elevation is the other side of the view with lesser extents as compared with the front elevation

The plan is a view from the top

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Answer:

So why are quadratic functions important? Quadratic functions hold a unique position in the school curriculum. They are functions whose values can be easily calculated from input values, so they are a slight advance on linear functions and provide a significant move away from attachment to straight lines.

Step-by-step explanation:

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

Answer:

\(\mathbf{ f(x+1)=7x-1}\)

Step-by-step explanation:

We need to find f(x+1)

We are given:

\(g(x) - f(x) = -2x + 5\:and\:g(x) = 5x -3\)

First we need to find f(x)

By putting value of g(x) into g(x)-f(x)

\(g(x) - f(x) = -2x + 5\\\Put\:value\:of\:g(x) = 5x -3\\5x-3-f(x)=-2x+5\\-f(x)=-2x+5-5x+3\\-f(x)=-2x-5x+5+3\\-f(x)=-7x+8\\f(x)=-(-7x+8)\\f(x)=7x-8\\\)

We have, \(f(x)=7x-8\)

Now finding f(x+1) by putting x=x+1

\(f(x)=7x-8\\Put\:x=x+1\\f(x+1)=7(x+1)-8\\f(x+1)=7x+7-8\\f(x+1)=7x-1\)

So, \(\mathbf{ f(x+1)=7x-1}\)

Answer:

-2

Step-by-step explanation:

2, 1, 0, -1

If the pattern continues it will lead to the next number being  - 2

Answer:

The answer is

\(y = - \frac{1}{4} x\)

Step-by-step explanation:

\(y = - \frac{1}{4} \times - 8 = 2 \\ y = - \frac{1}{4} \times - 4 = 1 \\ y = - \frac{1}{4} \times 0 = 0 \\ y = - \frac{1}{4} \times 4 = - 1\)

Answer:

The minimum is 87

Step-by-step explanation:

The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed

Answer:

87

Step-by-step explanation:

Put them in order

87, 89, 94, 98, 99, 103, 109, 112, 115

Minimum = The least

The least = 87

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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Answer:

Explanation:

The angular coefficient is also referred to as the slope of the line.

Given that the slope of the lining joining these pair of points are the same:

• (-2, 1) and (1, 4)

• (1, -2) and (3, p)

Then:

We solve the equation for p:

Answer:

7.666666667 (non-terminating)