9 of 12
Nasser is following this recipe to make flapjacks.
Nasser uses 0.9 kg of oats.
How many flapjacks is Nasser making?
Recipe: Makes 10 flapjacks
120 g margarine
100 g sugar
150 mL syrup
225 g oats
40 g sultanas

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

the value of 43 and 3.65 is you use kfc chicken because when you angry or very mad you need some kfs chicken bye.

The y-intercept of the equation y = 12 - 0.2x is 12, which represents the initial amount of candle wax present before any burning has occurred.

The given equation is y = 12 - 0.2x, where y represents the amount of candle left in ounces and x represents the number of hours the candle has burned for.

To find the y-intercept of the equation, we set x equal to zero, as the y-intercept occurs when x is equal to zero. Thus, we have:

y = 12 - 0.2(0)

y = 12

Therefore, the y-intercept of the equation is 12. This means that when the candle is brand new and has not yet been burned, there are 12 ounces of candle wax present.

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Complete Question:

The equation y = 12 - 0.2x shows the amount of candle that is left (in ounces) after

burning for x hours. What is the y - intercept for the function, and what does it represent

The side m is 7 from the principle of equivalent triangles.

Equilateral triangles are the triangles which have all their sides equal in length. In other words, if three sides of a triangle are equal in length, then the triangle is said to be an equilateral triangle.

Isosceles triangles are triangles that have two sides equal in length and two equal interior angles.

Congruent triangles, on the other hand, are triangles that have exactly the same size and shape. Congruent triangles have corresponding sides and angles that are equal in size.

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Answer:

Step-by-step explanation:

The area of a parallelogram is base times height.

In this case it would be:

(3x +1) (5x-4)

Then multiply to simplify.

Use FOIL

15x² - 12x + 5x - 4

Simplify again

15x² - 7x - 4

Answer:

Answer:

y = 4x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 3 when y = 12

k =  =  = 4

y = 4x ← equation of variation

Answer:

2 my guy

Step-by-step explanation:

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

X=2

Step-by-step explanation:

x = ky    (direct variation formula)

8 = 24k

1/3 = k

x = (1/3)(6)

x = 2

The probability that more than a fifth (i.e. 6 or more) of the 10 buyers would prefer green is 0.3981.

To conduct a study of the color preferences of new car buyers, a researcher wishes to conduct a research. Suppose that 30% of the population prefers green. If ten buyers are selected at random, what is the probability that more than a fifth of the buyers will prefer green?

The random variable X represents the number of buyers who prefer green. When n = 10 and p = 0.3, this is a binomial probability experiment. P(X > 2) is the probability that more than a fifth of the buyers would prefer green.P(X > 2) = 1 - P(X ≤ 2)P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]P(X > 2) = 1 - [C(10,0) (0.3)^0 (0.7)^10 + C(10,1) (0.3)^1 (0.7)^9 + C(10,2) (0.3)^2 (0.7)^8]P(X > 2) = 1 - [1(0.7)^10 + 10(0.3)(0.7)^9 + 45(0.3)^2 (0.7)^8]P(X > 2) = 0.2743

Therefore, the probability that more than a fifth of the buyers would prefer green is 0.2743, rounded to four decimal places.

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1. sun gives warmth and the clothes will dry faster

2. the water from the clothes evaporates into the air -> air is moist -> more chance of mold in the room

The exercise states that any eigenvalue of a self-adjoint linear transformation is a real number. Therefore, we have λ⟨v, v⟩ = λ*⟨v, v⟩, which implies that λ = λ*⟨v, v⟩/⟨v, v⟩.

To prove this statement, let's consider a self-adjoint linear transformation T on an inner product space V. We want to show that any eigenvalue λ of T is a real number.

Suppose v is an eigenvector of T corresponding to the eigenvalue λ, i.e., T(v) = λv. We need to prove that λ is a real number.

Taking the inner product of both sides of the equation with v, we have ⟨T(v), v⟩ = ⟨λv, v⟩.

Since T is self-adjoint, we have T* = T. Therefore, ⟨T(v), v⟩ = ⟨v, T*(v)⟩.

Substituting T*(v) = T(v) = λv, we have ⟨v, λv⟩ = λ⟨v, v⟩.

Now, let's consider the complex conjugate of this equation: ⟨v, λv⟩* = λ*⟨v, v⟩*, where * denotes the complex conjugate.

The left side becomes ⟨λv, v⟩* = (λv)*⟨v, v⟩ = (λ*)*(⟨v, v⟩)*.

Since λ is an eigenvalue, it is a scalar, and its complex conjugate is itself, i.e., λ = λ*.

Therefore, we have λ⟨v, v⟩ = λ*⟨v, v⟩, which implies that λ = λ*⟨v, v⟩/⟨v, v⟩.

Since ⟨v, v⟩ is a non-zero real number (as it is the inner product of v with itself), we can conclude that λ = λ*, which means λ is a real number.

Hence, any eigenvalue of a self-adjoint linear transformation is real.

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Answer:

length = 14 metres, width = 12 metres

Step-by-step explanation:

let x be length

length = x

width = x-2

perimeter of parallelogram = 52

length + length + width + width = 52

x+x+x-2+x-2=52

4x-4=52

4x=56

x=14

length = 14 metres

width = 14 - 2 = 12 metres

Answer:

P=2(l+w)

or, 52=2(l+l-2)

or, 52=4l-4

or, 56 =4l

therefore length=14m

therefore breadth=l-2=12m

Hello there!

6¹³÷6⁷=6⁶=46,656

Now, what did we do? We subtracted the powers. As long as we have the same number, we can subtract the powers.

Remember this formula:

\(x^{n} :x^{m} =x^{n-m}\)

Now, 6^6 means 6*6*6*6*6*6.

Hope this helps!

\(GraceRosalia\)

Step-by-step explanation:

I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.

I think you mean "categorize".

the first one is arithmetic.

the added constant is -4.2

98.3 - 4.2 = 94.1

94.1 - 4.2 = 89.9

...

the second one is neither.

it looks like first to be arithmetic with the added constant of -1.

1 - 1 = 0

0 - 1 = -1

but then

-1 - 1 = -2 and not 0.

the third is geometric.

the ratio or multiplication factor is 2.

1.75 × 2 = 3.5

3.5 × 2 = 7

...

the fourth is arithmetic.

the added constant is 1.2.

-12 + 1.2 = -10.8

-10.8 + 1.2 = -9.6

...

the fifth is geometric.

the ratio of multiplication factor is -1.

-1 × -1 = 1

1 × -1 = -1

...

if you really need to sort them (change their positions in that 5 elements list), then

the 1st and 4th are arithmetic (to be put into the top 2 spots).

the 3rd and 5th are geometric (to be put into the next 2 spots).

the 2nd is neither (last spot).

Answer:

624

Step-by-step explanation:

650 * .80 = 520520 * 1.20 = 624

Option d is correct, ,\(ac+ad+ae+bc+bd+be\) is the equivalent expression of \((a+b)(c+d+e).\)

The expression \((a+b)(c+d+e)\) can be expanded using the distributive property.

We multiply each term in the first set of parentheses by each term in the second set of parentheses and combine like terms.

\((a+b)(c+d+e) = a(c+d+e) + b(c+d+e)\)

Expanding further:

\((a+b)(c+d+e) = ac + ad + ae + bc + bd + be\)

Hence,\(ac+ad+ae+bc+bd+be\) is the equivalent expression of \((a+b)(c+d+e).\)

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Answer:

5,386,830

Step-by-step explanation:

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

V is:

Solve the rational equation by combining expressions and isolating the variable v.

Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.

Based on the expected value, Rosie's statement is correct.

The expected value, denoted as E(X), represents the average or mean value of a random variable, in this case, the sum of points in a given turn when rolling the five dice.

Tom's statement, "A player will most likely get 17.5 points in any given roll," is not accurate. The expected value of 17.5 points does not necessarily mean that a player is most likely to get exactly 17.5 points in any single roll. Instead, it indicates that over many rolls, the average value of points earned in a turn is 17.5 points.

On the other hand, Rosie's statement, "Over 100 turns, we can expect a total of about 175 points," is correct. Since the expected value is 17.5 points per turn, over 100 turns, we can expect the total sum of points to be approximately 100 turns × 17.5 points/turn = 1750 points.

In summary, the expected value of 17.5 points represents the average outcome over multiple rolls, and based on this value, Rosie's statement about expecting a total of about 175 points over 100 turns is accurate.

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The complete question:

Tom and Rosie are designing a game. In each turn, a player rolls five 6-sided dice and adds the numbers showing on each face to determine how many points they get that turn. For example, the lowest number of points in a given turn is 1+1+1+1+1=5 points, and the highest is 6+6+6+6+6=30 points.

They let X represent the sum in a given turn, and they find the expected value of X is E(X) = 17.5 points.

Tom says, "A player will most likely get 17.5 points in any given roll."

Rosie says, "Over 100 turns, we can expect a total of about 175 points."

Whose statement is correct based on the expected value?

Answer:

215 minutes

Step-by-step explanation:

Let

Number of days she rode for 35 minutes = x

Number of days she rode for 55 minutes = y

Total time spent riding her bike = 35x + 55y

x = Monday + Wednesday + Saturday

x = 3 days

y = Tuesday + Thursday

= 2 days

Substitute into the equation

Total time spent riding her bike = 35x + 55y

= 35(3) + 55(2)

= 105 + 110

= 215 minutes

Answer:

1/200×60/360=1/6÷200

The absolute difference between Anthony's favorite forecast and Bria's favorite forecast is $22 million.

To find Anthony's favorite forecast, we need to compare the forecasts generated using different methods and choose the one that suggests a higher demand for 2022.

Bria's favorite forecast, on the other hand, is based on minimizing forecasting errors, so she will choose the forecast with the smallest absolute difference from the actual sales data.

Using the given sales data, we can calculate the forecasts using the four methods mentioned. The naive forecast for 2022 is simply the sales value from the most recent year, which is $100 million.

The simple mean method calculates the average of the past 5 years' sales, resulting in a forecast of $70 million. The 3-period moving average takes the average of the sales from the three most recent years, giving a forecast of $83.33 million.

The 2-period weighted moving average assigns weights of 0.8 and 0.2 to the most recent and second most recent years, respectively, resulting in a forecast of $85 million.

Anthony's favorite forecast would be the one with the highest value, which is $100 million (the naive forecast). Bria's favorite forecast would be the one with the smallest absolute difference from the actual sales data, which is $85 million (the 2-period weighted moving average forecast).

The absolute difference between these two forecasts is $15 million, rounded to the nearest million, resulting in an absolute difference of $22 million.

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On average, there are approximately 1140 skiers riding on the lift at any one time.

To find out how many skiers are riding on the lift at any one time, we can use the following formula:

Number of skiers riding = (Rate of unloading) x (Time for one round trip)

Since the ride from the bottom to the top takes 19 minutes, the time for one round trip is 38 minutes (19 minutes up and 19 minutes down).

So, we can calculate the number of skiers riding on the lift at any one time as follows:

Number of skiers riding = (1800 skiers/hour) x (38/60 hour)

Number of skiers riding = 1140 skiers

Therefore, on average, there are approximately 1140 skiers riding on the lift at any one time.

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