Is the following scenario proportional or not?

Mrs. G. bakes 6 cookies every 10 minutes.

The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

9y^3 - 2y^2 + 5y + 8

Step-by-step explanation:

I'm not completely sure though

In the data matrix, A. The amount of jello, fish sticks, and mystery meat required are 10 ounces, 20 ounces, and 10 ounces respectively. B. If the protein requirement is increased by 4, 8 ounces of jello, 24 ounces of fish sticks, and 9 ounces of mystery meat are required. C. If the vitamin C requirement is decrease by k milligrams, we need 10 ounces of jello, 19 ounces of fish sticks, and 11 ounces of mystery meat.

A. To find the inverse of the data matrix, we need to write the matrix with the nutritional content as columns and the food types as rows:

| Food type | Calories | Protein | Vitamin C |
|-----------|----------|---------|-----------|
| Jello     | 50       | 0       | 10        |
| Fish sticks | 100      | 8       | 0         |
| Mystery meat | 200      | 10      | 50        |

To find the inverse, we need to use matrix algebra. The inverse matrix will allow us to solve for the amount of each food type required to meet the nutritional requirements.

Let's call the matrix of food amounts x:

| Food type | Amount |
|-----------|--------|
| Jello     | x1     |
| Fish sticks | x2    |
| Mystery meat | x3 |

We can write the matrix equation Ax = b, where A is the matrix of nutritional content, x is the matrix of food amounts, and b is the matrix of nutritional requirements:

| 50  100  200 |   | x1 |   | 600 |
| 0   8    10 | x | x2 | = |  20 |
| 10  0    50 |   | x3 |   | 200 |

To solve for x, we need to find the inverse of A and multiply both sides of the equation by A^-1:

x = A^-1 * b

The inverse of A can be found using matrix algebra software or by hand. The inverse of A is:

| -0.05  0.025  0.025 |
|  0.025 -0.013 -0.00625 |
|  0.0025  0.01875 -0.0075 |

Multiplying this by the matrix of nutritional requirements gives us:

| x1 |
| x2 |
| x3 | =

| -0.05  0.025  0.025 |   | 600 |
|  0.025 -0.013 -0.00625 | * |  20 |
|  0.0025  0.01875 -0.0075 |   | 200 |

Simplifying this gives us:

| x1 |
| x2 |
| x3 | =

| 10 |
| 20 |
| 10 |

So we need 10 ounces of jello, 20 ounces of fish sticks, and 10 ounces of mystery meat to meet the nutritional requirements.

B. If the protein requirement is increased by 4 grams, we need to adjust the matrix of nutritional requirements to b = [600, 24, 200]. We can then use the same method as in part A to find the new amounts of each food type required. The new matrix of food amounts is:

| x1 |
| x2 |
| x3 | =

| 8 |
| 24 |
| 9 |

So we need 8 ounces of jello, 24 ounces of fish sticks, and 9 ounces of mystery meat to meet the new nutritional requirements.

C. If the vitamin C requirement is decreased by k milligrams, we need to adjust the matrix of nutritional requirements to b = [600, 20, 200-k]. We can then use the same method as in part A to find the new amounts of each food type required. The new matrix of food amounts is:

| x1 |
| x2 |
| x3 | =

| 10 |
| 19 |
| 11 |

So if the vitamin C requirement is decreased by k milligrams, we need 10 ounces of jello, 19 ounces of fish sticks, and 11 ounces of mystery meat to meet the new nutritional requirements.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

a

Step-by-step explanation:

The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

We conclude that the probability of at least one of the three chips lasting at least 290 hours is 1, as there is no value in the normal distribution smaller than this threshold.

Since the lifetimes of the memory chips are independent and each chip follows a normal distribution with a mean of 300 hours and a standard deviation of 10 hours, we can consider the sum of the lifetimes, X1 + X2 + X3.

To find the probability that at least one chip lasts at least 290 hours, we can find the probability that all three chips last less than 290 hours and then subtract it from 1.

To calculate this probability, we need to standardize the value 290 hours using the mean and standard deviation of the sum of the lifetimes. The mean of the sum is 900 hours (3 chips * 300 hours), and the standard deviation is the square root of 300 hours (sqrt(3) * 10 hours).

However, in this case, the resulting z-score is significantly smaller than any value on the standard normal distribution table. This indicates that the probability cannot be determined using conventional methods.

Therefore, we conclude that the probability of at least one of the three chips lasting at least 290 hours is 1, as there is no value in the normal distribution smaller than this threshold.

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Answer:

38xy

Step-by-step explanation:

75-37=38

You can use the equation:

k = 125 / 5

Where k is the number of emergency kits that Brody packs and 5 is the number of water bottles he puts in each kit.

This equation is determined based on the information given in the problem: "Brody puts 5 water bottles into each kit they pack, and in all, he packs 125 water bottles." To find the number of kits, we need to divide the total number of water bottles (125) by the number of water bottles in each kit (5). This gives us the number of kits, k, that Brody packs.

This equation is specific to this problem and may not be applicable to every problem. It depends on the specific information given in each problem. In general, to determine the equation for a problem, you need to understand the relationships between the variables involved and express them mathematically. The equation will depend on the specific details of the problem and may not be the same for every problem.

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Answer:

Solve for b: b = 6 - a

Solve for a:  a = 6 - b

Step-by-step explanation:

There are two ways we can solve this, solve for a and solve for b.

Lets solve for b first

\(4-b=2-a\)

Add 4 on both sides

\(b=2-a+4\)

Simplify

\(b=6-a\)

Now lets solve for a

\(4-b=2-a\)

Flip the equation

\(2-a=4-b\)

Add 2 on both sides

\(a=4-b+2\)

Simplify

\(a=6-b\)

Answer:

x > 56

Step-by-step explanation:

x/8 - 13 > -6

x/8 > 7

x > 56

The differential equation y4 - 27y' = x2 + x in the form L (y) = g(x) is D(D - 3)(D^2 + 3D + 9)y = x^2 + x. So, the answer is option B.

Explanation:

The given differential equation is y4 - 27y' = x2 + x.

To write it in the form L(y) = g(x), where L is a linear differential operator with constant coefficients, we need to express y4 and y' in terms of differential operators.

We can write y4 as (D^4)y, where D is the differential operator d/dx.

To express y' in terms of differential operators, we can use the product rule:

y' = dy/dx = (D)(y)

Therefore, the given differential equation can be written as:

(D^4)y - 27(D)y = x^2 + x

Now, we need to factor the linear differential operator L = (D^4) - 27D.

We can factor out D from the second term:

L = D(D^3 - 27)

Next, we can factor the cubic polynomial D^3 - 27 using the difference of cubes formula:

D^3 - 27 = (D - 3)(D^2 + 3D + 9)

Therefore, we can express L as:

L = D(D - 3)(D^2 + 3D + 9)

Finally, we can write the differential equation in the desired form:

D(D - 3)(D^2 + 3D + 9)y = x^2 + x

So, the answer is option B.

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Answer: The total amount for 3 cans is $2.50, so the cost per can is $2.50 / 3 = $0.83.

The size of each can is 16 oz, so the unit price per ounce is $0.83 / 16 oz = $0.052/oz.

Step-by-step explanation:

The value of the mean is 155.96mm

Calculation of the mean is:

n=5

Mean= \(\frac{\sum fx}{n}\)

Mean=\(\frac{156.9+153.2+153.6+157.5+158.6}{5}\)

Mean=779.8/5

Mean=155.96mm

The question was incomplete, the complete question is given below:

Auto pistons at Wenming​ Chung's plant in shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean X(mm) Range R (mm)

1   156.9          4.2

2   153.2         4.6

3   153.6         4.1

4   157.5         4.8

5   158.6         4.7

What is the value of mean in mm, (round your response to 2 decimal places)

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Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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Answer:

(A)

Step-by-step explanation:

As you can see, the figure can be divided into a square of side 2cm and a rectangle of sides 5cm and 3cm so we find the area of both and add.

Area of the square

= 2x2 = 4cm^2

Area of the rectangle

= lxb

= 3x5

= 15 cm^2

Therefore the area of the entire figure

= Area of square + area of rectangle

= 15+4

= 19 cm^2

So the correct option is (a)

Hope this helps:)

Answer:

Option 1

Step-by-step explanation:

I broke the figure up into two shapes. One of them was a square and the other one was a big rectangle. I calculated the two areas and added them back together.  My work is attached in the picture.

Area of a square is: s^2

's' -side length

Area of a rectangle is: b * w

'b' - base or length

'w' - width

The area of the figure should be 19cm².

The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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Answer: the last one

Step-by-step explanation:

factor the quadratic expression, the greatest common factor is 3, 3(4x^2-12x+9) is a perfect trinomial square. There is only one root 3/2 but it is a double

Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Answer:

length would be 15 inches, width would be 9.36 inches and the scale would these numbers divided by the number of feet on the original scale... not sure if its correct

To determine if the sunglasses have Polaroid filters or if they are simply tinted plastic, you can obtain a pair of known Polaroid sunglasses for comparison.


Find a light source, such as a desk lamp or the sun.
Look through both pairs of sunglasses at the light source.
Rotate both pairs of sunglasses simultaneously.
Observe the changes in brightness and glare as you rotate the sunglasses.
If the suspected sunglasses are Polaroid, you should notice a significant reduction in glare and brightness at certain angles of rotation.
In contrast, if the suspected sunglasses are tinted plastic, you may still observe some glare and brightness, regardless of the angle of rotation.

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Answer: 36

Step-by-step explanation: to make it easier, it is 6x6.

Answer:

36

Step-by-step explanation:

3х2 x 2х3

6 x 6

36

Answer:

14

Step-by-step explanation:

14 x 14 or 14^2

Answer:

what grade are you in

.

okk

Answer:

Step-by-step explanation:

4+x = 360° - 157° - 60° - 60° - 50° = 33°

x = 29°

First write the expression.

Answer:

Image result for a measure of ∠3, ∠5, ∠6

The same reasoning applies to the obtuse angles in the figure: ∠2, ∠3, ∠6, and ∠8 are all congruent to each other. 2. When parallel lines are cut by a transversal line, any one acute angle formed and any one obtuse angle formed are supplementary.

Step-by-step explanation: