At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48.
Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
A. Yes, because the ratios 2.560.48 and 632 are equivalent; y = 0.08x.
B. Yes, because the ratios 2.5632 and 0.486 are equivalent; y = 0.08x.
C. Yes, because the ratios 2.5632 and 0.486 are equivalent; y = 0.8x.
D. No, because the ratios 2.5632 and 0.486 are not equivalent; y = 0.08 + x.

Answer:

-2,2

Step-by-step explanation:

x^2-4-0

(x+2)(x-2)

x+2=0

x=-2

x-2=0

x=2

Answer:

1). 16 π cm^2

2). 112 π cm^3

3). 351.68 cm^3

***If the explanation doesn’t make sense, let me know, and I’ll try to explain in a different way.

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Answer:

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

We have intersecting secants here, use relevant theorem:

Apply it our question to obtain the following equation:

The equation which matches the absolute value function graph given as required is; y = -1 |x + 1| + 1.

As evident from the task content, the equation which matches the given graph is to be determined.

On this note, recall that the absolute value function takes the form;

f (x) = a |x - h| + k where the vertex is; (h, k).

Therefore, since the vertex is; (-1, 1); we have;

f (x) = a |x + 1| + 1

To find a; use point (0, 0)

0 = a |0 + 1| + 1

a = -1.

Ultimately, the equation which matches the graph is; y = -1 |x + 1| + 1.

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Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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The number of regular sodas served is 12.

Percentage is the fraction of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %. Percentage is a measure of frequency.

Number of regular sodas served = percentage of regular sodas served x number of sodas served

= 25% x 48

= 25/100 x 48 = 12

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Therefore, the volume of the solid generated by revolving the given region about the y-axis is π cubic units.

To find the volume of the solid generated by revolving the region enclosed by the curves \(y = x^2 + 1\), y = 0, x = 0, and x = 1 about the y-axis, we can use the method of cylindrical shells. The volume of each cylindrical shell can be calculated as the product of the circumference of the shell, the height of the shell, and the thickness of the shell. The circumference of each shell is given by 2πr, where r is the distance from the y-axis to the x-coordinate of the curve \(y = x^2 + 1.\)The height of each shell is the difference between the y-values of the upper and lower curves at the corresponding x-coordinate. The thickness of each shell is denoted by Δy. Let's integrate the volume of the shells over the range of y-values from 0 to 1:

V = ∫[0, 1] 2πr(y) * h(y) * Δy

Where r(y) is the x-coordinate of the curve \(y = x^2 + 1\) (which is the square root of y - 1), and h(y) is the difference between the upper and lower curves (which is the difference between \(y = x^2 + 1\) and y = 0).

V = ∫[0, 1] 2π(√(y - 1)) * \((x^2 + 1) * Δy\)

We can rewrite x in terms of y by solving the equation \(y = x^2 + 1\) for x:

\(x^2 = y - 1\)

x = ±√(y - 1)

V = \(\int\limits^1_0 {2\pi(\sqrt{(y - 1)} ) * ((\sqrt} (y - 1))^2+ 1) * \, dx\)

Simplifying the expression:

V = 2π [1/2 * y²] evaluated from 0 to 1

V = 2π * \((1/2 * 1^2 - 1/2 * 0^2)\)

V = π cubic units

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Therefore, the net cash provided or used by operating activities is $115,000.

Starting with the net income of $127,000, we add back the depreciation expense of $36,500 since it is a non-cash expense. We also subtract the gain on sale of plant assets of $10,500 since it is a non-operating gain. These adjustments result in an adjusted net income of $153,000 ($127,000 + $36,500 - $10,500).

Next, we consider the changes in current assets and liabilities. Since accounts receivable decreased by $10,700, we add this amount to the adjusted net income. Merchandise inventory increased by $24,500, so we subtract this amount. Prepaid expenses increased by $7,500, so we subtract this amount as well. Lastly, accounts payable increased by $4,700, so we add this amount.

Calculating the net cash provided or used by operating activities:

Adjusted net income + Changes in current assets and liabilities

$153,000 + (-$10,700) + (-$24,500) + (-$7,500) + $4,700 = $115,000

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Answer:

y= -x+1

y=4x_14

solution

-x+1=4x-14

-x-4x= -14-1

-5x= -15

-5x/-5= -15/-5

x=3

while y=4x-14

y=4(3)-14

y=12-14

y= -2

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Angles.

11) Vertically Opposite Angles, 6x= 30 , thus x= 5

12) Adjacent Angles, 4+5x+x+2 = 180

= 6+6x= 180 => 1+x= 30 , x= 29

13) Right Angle, 2x+1+x+2=90 ==> 3x+3=90 => x+1= 30

=> x=29

14) Right Angle, 3x+1+4+2x = 5x+5= 90 ==> x+1 = 18

=> x=17

15)Vertically Opposite Angles are same,

y+23= 63 , thus y= 63-23 ==> y= 40

2x-17 = 234 ( remaining angle after subtraction of 63 for two times)

2x= 251 , thus x= 125.5

16)Linear pair, 47-2x+x^2+32 = 180

=> 79-2x+x^2= 180

= x^2-2x = 101

=x(x-2) = 101

17)

Answer:

48.5 ft

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

There is no effect between flipping a coin and chosing a number.

This situation is known as a independent event.

P(AnB) = P(A)*P(B)

The situation A = Heads or tails of money = 1/2

The situation B = 6/8

It can be calculated as below:

Probability = Desired / All Event

Desired || Numbers between 3 and 10 are : 4,5,6,7,8,9 = 6 pieces

All Event || Numbers between 1 and 10 are : 2,3,4,5,6,7,8,9 =8 pieces

Consequently product the fractions.

1/2 * 6/8 = 6/16 = 3/8

Answer:

459 cases per 100,000 people.

Step-by-step explanation:

To calculate the prevalence of DMD, we need to know the number of people living with the condition at a specific point in time. We can estimate this number by multiplying the annual incidence rate by the average duration of the disease:

Prevalence = Annual incidence rate x Average duration of the disease

Annual incidence rate = 0.017% = 17 cases per 100,000 people per year

Average duration of the disease = 27 years

Therefore, the prevalence of DMD can be estimated as:

Prevalence = 17 cases per 100,000 people per year x 27 years = 459 cases per 100,000 people

So, approximately 459 people out of 100,000 are living with DMD. This can also be expressed as a percentage by multiplying the above value by 100, which gives:

Prevalence = 459 cases per 100,000 people x 100% = 0.459% of the population

Therefore, the prevalence of DMD is approximately 0.459% or 459 cases per 100,000 people.

Answer:

161/500

Step-by-step explanation:

Answer:

g = j - 12

Step-by-step explanation:

Let's say Jessie installed j axles. Convert words to math:

- "12 more" = + 12

- "the number of engine blocks her friend Gus installed yesterday" = g

Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:

j = g + 12

g = j - 12

Lets use the variables "a" and "g" to solve.

a =  number of axles

g =  number of engine blocks

If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).

Now, we have the expression a = g + 12

Solve for g since we are finding the number of engine blocks Gus Installed.

a = g + 12

~Subtract 12 to both sides

a - 12 = g + 12 - 12

a - 12 = g

Therefore, the answer is [ a - 12 = g ]

Best of Luck!

Answer:

im stuck on this to

Step-by-step explanation:

Answer:

1656

Step-by-step explanation:

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

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Answer:

-3

Step-by-step explanation:

4a - 2(a + b) + 1 = ?

4(2) - 2(2 + 4) + 1

8 - 2(6) + 1

8 - 12 + 1

-4 + 1 = -3

I hope this helps!

The probability after seven days of buying a lottery that Jorge would have at least one prize is 0.9364, rounded to four decimal places.

The question suggests that the probability of winning a prize on a single lottery is 0.2. This means that the probability of not winning a prize on that ticket is 0.8. This is because the probability is a total sum of 1. Hence, probability of not winning the prize:

1 - 0.2 = 0.8.

If Jorge has bought the tickets consistently, the probability would be multiplied the specific times. Therefore, the probability of not winning a prize on that ticket after seven days is equal to (0.8)⁷. Now the probability of winning a prize after seven days would be:

1 - (0.8)⁷ = 0.9364.

Therefore, the probability that Jorge has won at least one prize after seven days of buying lottery tickets is 0.9364 rounded to four decimal places.

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Answer:

Step-by-step explanation:

There are countless different types of probability problems. In the very simplest of terms probability is the ratio of the number of specific outcomes divided by the total number of possible outcomes.

Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.

Answer ran 2 3/4 miles in 1/3 of an hour

2 3/4 miles =11/4 miles in 1/3 of hour

11/4 miles divided by 1/3 hr

11/4 ÷ 1/3

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr

When selecting a sample size for substantive tests of balances a factor, other factors being equal, that would result in a larger sample is  a decrease in the tolerable misstatement.

The correct answer is an option (A)

In this question we have been given we need to a factor when selecting a sample size for substantive tests of balances that would result in a larger sample.

We know that there is an inverse relationship between sample size and tolerable misstatement.

So the sample size would increase if the tolerable misstatement decreases.

A sample size will increase when expected misstatement increase or population variability is higher.

Therefore, an auditor is calcualting a sample size related to substantive test of balances, which facctor with other factors being equal -  a decrease in the tolerable misstatement

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The complete question is:

When selecting a sample size for substantive tests of balances which factor, other factors being equal, would result in a larger sample?

A) a decrease in the tolerable misstatement

B) small expected misstatements

C) an increase in the tolerable misstatement

D) an increase in the acceptable risk of incorrect acceptance

The probability of at least 33 male lambs is approximately 74.2%, which rounds to 25.9%  to the nearest tenth of a percent.

To solve this problem, we can use the binomial distribution formula:

P(X≥33) = 1 - P(X<33)

where X is the number of male lambs born out of 60, and P(X<33) is the probability that less than 33 male lambs are born.

The probability of getting a male lamb is 0.5, assuming that males and females are equally probable. So, the probability of getting exactly x male lambs out of 60 is:

P(X=x) = (60 choose x) * 0.5^60

where (60 choose x) is the number of ways to choose x items out of 60, which is calculated by the binomial coefficient formula:

(60 choose x) = 60! / (x! * (60-x)!)

Using a binomial distribution calculator or a spreadsheet program like Excel, we can find the probability of getting less than 33 male lambs:

P(X<33) = sum(P(X=x), x=0 to 32) ≈ 0.0459

Therefore, the probability of getting at least 33 male lambs is:

P(X≥33) = 1 - P(X<33) ≈ 1 - 0.0459 ≈ 0.9541

To convert this to a percentage, we can multiply by 100 and round to the nearest tenth:

P(X≥33) ≈ 95.4%

So, the answer is not one of the options given. The closest option is D) 25.9%, which is the probability of getting exactly 30 male lambs.

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Answer:

it would be the one after eight so put it on the 9 mark

Step-by-step explanation:

hope u get it right if not srry

It has been shown that if A is a symmetric matrix with eigenvalues λ1, λ2, . . . , λn, then the singular values of A are |λ1|, |λ2|, . . . ,|λn|.

To show that the singular values of a symmetric matrix A are |λ1|, |λ2|, . . . ,|λn|, we first need to recall that the singular values of A are the positive square roots of the eigenvalues of \(A^T A\) (where \(A^T\) denotes the transpose of A).

Now, since A is symmetric, we know that \(A^T = A\), which means that \(A^T A = A^2\).

So the eigenvalues of \(A^T A\) are the squares of the eigenvalues of A.

That is, if λ1, λ2, . . . , λn are the eigenvalues of A, then λ1², λ2², . . . , λn² are the eigenvalues of \(A^T A\).

But we also know that the eigenvalues of a symmetric matrix are real, so λ1, λ2, . . . , λn are real numbers.

And since the singular values of A are the positive square roots of the eigenvalues of \(A^T A\), it follows that the singular values of A are |λ1|, |λ2|, . . . ,|λn|. This completes the proof.

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