june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer:

Cevap B

Step-by-step explanation:

fcxssazhgfxghfhdhddd

Answer:

It would be 8

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

26.0 years

Step-by-step explanation:

It will take approximately 16.79 years (to the nearest hundredth) for the initial mass of 20 grams to decay to four grams, given a constant decay rate of 6% per year.

To determine how long it will take for the 20 grams of the element to decay to four grams, we need to calculate the time using the given decay rate.

Given:

Initial mass (M₀) = 20 grams

Decay rate: 6% per year

Let's set up an equation to represent the decay of the element:

M(t) = M₀ * (1 - r)^t

Here, M(t) represents the mass at time t in years, M₀ is the initial mass, r is the decay rate (expressed as a decimal), and t is the time in years.

We want to find the value of t when M(t) = 4 grams:

\(4 = 20 * (1 - 0.06)^t\)

Dividing both sides by 20:

\(0.2 = (1 - 0.06)^t\)

Taking the natural logarithm of both sides:

\(ln(0.2) = ln[(1 - 0.06)^t]\)

Using logarithmic properties, we can simplify further:

\(ln(0.2) = t * ln(1 - 0.06)\)

Now, we can solve for t by dividing both sides of the equation by ln(1 - 0.06):

t =\(ln(0.2) / ln(1 - 0.06)\)

Using a calculator, we find:

t ≈ 16.79 years

Therefore, it will take approximately 16.79 years (to the nearest hundredth) for the initial mass of 20 grams to decay to four grams, given a constant decay rate of 6% per year.

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Answer:

1st option

Step-by-step explanation:

To obtain (f ￮ g)(x) , substitute x = g(x) into f(x)

(f ￮ g)(x)

= f(g(x)

= f(\(\frac{1}{2x}\) )

= \(\frac{2}{\frac{1}{2x}+3 }\)

= \(\frac{2}{\frac{1}{2x}+3 }\) × \(\frac{2x}{2x}\)

= \(\frac{4x}{1+6x}\)

Step-by-step explanation:

21x - 12x < 54

We can simplify the left-hand side by combining like terms:

9x < 54

Then, we can isolate x by dividing both sides of the inequality by 9:

x < 6

Therefore, the solution to the inequality is:

x < 6

Answer: 1.2kg pack of carrots for $1

Step-by-step explanation:

To compare the two deals, we need to calculate the price per kilogram for each option.

For the first option, the price per kilogram is:

1 pack of 1.2kg carrots for $1

Price per kilogram = $1 ÷ 1.2kg = $0.83/kg

For the second option, the price per kilogram is:

1 bag of 700g carrots for $0.77

Price per kilogram = $0.77 ÷ (700g ÷ 1000g/kg) = $1.10/kg

Therefore, the better deal is the 1.2kg pack of carrots for $1, as it has a lower price per kilogram ($0.83/kg) compared to the 700g bag for $0.77 ($1.10/kg).

Answer:

1.2kg pack of carrots for $1

Answer:

The answer is "0.340".

Step-by-step explanation:

\(n = 500\\\\x = 170\)

Using formula:

\(\to \hat{p} = \frac{x}{n} = \frac{170}{500}=\frac{17}{50} =0.340\)

Answer:

18

Step-by-step explanation:

First, you would do a proportion

\(\frac{3}{50}\)=\(\frac{x}{300}\)

Then you would cross multiply, getting 50x=900.

After that, you would do 900/50, which is 18.

To paint 300 feet of fence we need 18 quarts of paint.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 3 quarts of paint are needed for 50ft of fence.

∴ To paint 1 foot of fence (3/50) quarts of paint are needed.

∴ To paint 300 feet of fence (3/50)×300 = 18 quarts of paint needed.

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The required volume of the given rectangular prism is given as 240 in ³.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
From the data we have,
Length of the rectangle prism = 12 in
Width of the rectangle prism = 2 in
Height of the rectangle prism = 10 in

The volume of the rectangular prism = length × width × height
                                                 = 12 × 2 × 10
                                                 = 240 in ³

Thus, the required volume of the given rectangular prism is given as 240 in ³.

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The question is incomplete.
Complete question is," Calculate the volume of the prism of dimensions length, width and height are 12, 2, and 10 respectively. "

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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10 pints is equal to 5 quarts.

Given that there are 10 pints.

We need to convert pints to quarts.

To convert pints to quarts, we need to keep in mind that there are 2 pints in 1 quart.

Given that we have 10 pints, we can divide this value by 2 to obtain the equivalent amount in quarts:

10 pints / 2 pints per quart

= 5 quarts

Therefore, 10 pints is equal to 5 quarts.

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Answer:16/16c-4/8d

Step-by-step explanation:

Answer:

7100+410

Step-by-step explanation:

The combined weight of the 3/4 lb bags is 1 1/2 lb.

To get combined weight of the 3/4 lb bags, we must know number of bags that weigh 3/4 lb to calculate their total weight.

Given the list of bags and weights:

\(1/4 lb, 1/4 lb, 3/4 lb, 1/2 lb, 1/4 lb, 3/4 lb\)

There are two bags that weigh 3/4 lb.

We wlll calculate their total weight as follows:

Total weight of 3/4 lb bags:

= 2 * 3/4 lb

= 6/4 lb

= 1 1/2 lb.

Full question:

A Student makes bags of candy for Spring. The amount of candy in each bag is listed below. 1/4 lb, 1/4 lb, 3/4 lb, 1/2 lb, 1/4 lb, 3/4 lb. What is the combined weight of the 1/4 bags?

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I think how you approach this depends on your knowledge of calculus.

If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)

First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then

\(\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52\)

Second integral: if \(y=\sqrt{36-x^2}\), then \(x^2+y^2=6^2\), meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi\)

* * *

If you already know a few things about calculus and integration, you can compute these areas directly.

First integral:

\(\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx\)

\(\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}\)

\(\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)\)

\(\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52\)

Second integral:

Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt\)

For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt\)

Recall the half-angle identity,

cos²(t ) = (1 + cos(2t )) / 2

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)\)

\(\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi\)

Answer:

Step-by-step explanation:

Or

The probability that a student is a female given that they have an A is; 2/7

From the given table, we see that;

Number of males that got A = 4

Number of males that did not get A = 8

Number of females that got A = 6

Number of females that did not get A = 3

The probability that a student is a female given that they have an A is;

P(Female|A) = 6/(4 + 8 + 6 + 3)

P(Female|A) = 6/21 = 2/7

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The 90.1 percent can be written as a fraction in the simplest form is 901/1000.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have a percentage 90.1%

To convert it into the fraction in the simplest form we can do as follows:

= 90.1%

\(= \dfrac{90.1}{100}\)

= 0.901

\(= \dfrac{901}{1000}\)

Thus, the 90.1 percent can be written as a fraction in the simplest form is 901/1000.

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An equation is an expression containing an equals sign (=) that states that two expressions are equal. An inequation is an expression containing an inequality sign (<, >, ≤, or ≥) that states that two expressions are not equal. Equations and inequations are used to describe relationships between two or more values.

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The value of x with the given condition is 10

From the question, we have the following parameters that can be used in our computation:

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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The indices (8.1)(8.1²)⁴ simplifies to 8.1⁹

Index is the power or exponent which is raised to a number or a variable. For example, in number 3², 2 is the index of 3. The plural form of index is indices

Given:  (8.1)(8.1²)⁴

To simplify these indices, we are going to apply one of the indices, which is expressed below:  (4³)² = 4³ ˣ ² = 4⁶. We basically multiply the powers

We also need another law which is expressed below:

3⁶ x 3⁴ = 3⁶⁺⁴ = 3¹⁰

If two indices with the same base (in case 3) are being multiplied, you can simplify by taking one of the bases and then add the powers  

Thus, to simplify (8.1)(8.1²)⁴:

(8.1)(8.1²)⁴ = (8.1)(8.1)²ˣ⁴

           =  (8.1)(8.1)⁸

            = 8.1¹ × 8.1⁸

            = 8.1¹⁺⁸

            =   8.1⁹

Therefore, (8.1)(8.1²)⁴ simplifies to 8.1⁹. The 4th option is the answer

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Answer:   He must sell 7 cabinets.

Step-by-step explanation:

So it gives us the equations y= 400x + 1400  and the equations  y=600x and to find the break even point we need to set the two equations equal each other to solve for x.

400x + 1400 = 600x

-400x               -400x

1400 = 200x

 x = 7    

Answer: Experimental probability

Step-by-step explanation:

There are two kinds of probability: Theoretical probability and Experimental probability.

To calculate theoretical probability we divide favorable outcomes by total outcomes.

To calculate experimental probability we divide number of times an event occurs by the total number of trials or times the activity is performed.

Here, A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, which is dependent on the activity he performed, thus it is an experimental probability.