green and yellow dye are mixed in a 5:6 ratio to make 44 litres of lime-coloured dye. A further 8 litres of yellow dye are added to the mixture.
What is the new ratio of green to yellow dye in its simplest form?

Step-by-step explanation:

since the red marble is not replaced after selecting next time the total sample for yellow marble would be 7-1 i.e 6

The male literacy rate in chile is 97%.

The proportion of adults aged 15 and older with literacy, expressed as a percentage of the corresponding population generally or for a particular sex, in a given nation, territory, or geographic area at a specific time, usually in the middle of the year.

Reading and writing help develop abilities and support "lifelong learning."

A foundational requirement for a larger education is literacy and numeracy. Children who have trouble reading are more likely to leave school before finishing their basic education (sometimes as a result of linguistic challenges in the classroom).

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The male literacy rate in chile is 97%.

The definition of literacy rate

The proportion of adults aged 15 and older with literacy, expressed as a percentage of the corresponding population generally or for a particular sex, in a given nation, territory, or geographic area at a specific time, usually in the middle of the year.

What makes literacy crucial?

Reading and writing help develop abilities and support "lifelong learning."

A foundational requirement for a larger education is literacy and numeracy. Children who have trouble reading are more likely to leave school before finishing their basic education (sometimes as a result of linguistic challenges in the classroom).

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What is the male literacy rate in chile?

A. 85% B. 92% C. 97% D. 100%

Answer:

S = 4π(7^2) = 196π square inches

= about 615.75 square inches

Answer:

d

Step-by-step explanation:

Answer:

so line up the decimals first off.

Step-by-step explanation:

1) line up the decimals

10.98

11.25

2) then add down like you were to regularly add (move right to left when adding)

do 8 plus 5 first, which is 13,

then add the next column, add 9, 2 and don't forget the 1 from the 13 which you should get 12,

then add the 0, 1 and the one from the 12, which should get you 2.

finally add the last column which should also get you 2.

10.98

+11.25

----------

22.23

*and if one number doesent have a decimal just add one at the end of the number and zeros after the decimal so you can line them up and add them like the way above.*

Answer:

Adding whole numbers together is fairly straightforward, but how do we add a whole number and a number with a decimal? The trick is to write the whole number as a decimal number by including a decimal point followed by zeros. Use as many zeros as needed to make your whole number have the same number of decimal places as the decimal number. Then, align the decimal points and add the numbers by adding their respective place value digits together.

Here’s an example:

Sally had $29.89. All of sudden she found a $100 dollar bill on the street.  
How much does she have now?

Step 1: Line them up!

100.00

 29.89 +

_________

129.89

As you can see l added two zeros to represent that there was no cents.

Hope this helps!

Ms. Jennifer

Answer:

10 feet, option D

Step-by-step explanation:

Got it right on my test.

The equation y = -2x³ - 6 represents a nonlinear function.

What is linear function and nonlinear function?

The highest for linear functions is only one, whereas nonlinear functions have more.

The equation y = -2x³ - 6 represents a nonlinear function because the highest power of x, which is 3, is greater than 1. In general, a function is considered linear if it can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the equation cannot be written in that form because of the presence of x³, which makes the relationship between x and y nonlinear.

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Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\(\triangle p = 12\ million\)

\(p_1 =300\ million\)

China

\(\triangle p = 12\ million\)

\(p_1 =1\ billion\)

Required

Determine the relative change for each country

Relative change, C is calculated as:

\(C = \frac{\triangle p}{p} * 100\%\)

For United States

\(C = \frac{12\ million}{300\ million} * 100\%\)

\(C = \frac{12}{300} * 100\%\)

\(C = \frac{12 * 100}{300}\%\)

\(C = \frac{1200}{300}\%\)

\(C = 4\%\)

For China

\(C = \frac{12\ million}{1\ billion} * 100\%\)

\(C = \frac{12}{1000} * 100\%\)

\(C = \frac{12* 100}{1000} \%\)

\(C = \frac{1200}{1000} \%\)

\(C = 1.2\%\)

The relative change of the United States and China is 4% and 1.2%, respectively.

The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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Answer:

x &y=64 z=20

Step-by-step explanation:

ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64

To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20

Answer:

the answer is A

Step-by-step explanation:

dilation means expansion or stretching

in order to dilate you need to multiply each term with the scale factor (4)

the coordinates of the vertices of the image after the dilation are,

A. A'(16,32), B'(48,32), C'(64,80)

The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)

here, given that,

the coordinates of the vertices of ABC are A(4,8), B(12,8), C(16,20)

Triangle ABC is dilated with a scale factor of 4 and the center of dilation is the origin.

Now, we know that,

dilation means expansion or stretching

in order to dilate you need to multiply each term with the scale factor (4)

So, we get,

the coordinates of the vertices of the image after the dilation are,

A. A'(16,32), B'(48,32), C'(64,80)

Hence, the coordinates of the vertices of the image after the dilation are,

A. A'(16,32), B'(48,32), C'(64,80)

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The number of cars that must be made to minimize the unit cost is 300 cars which is determined by differentiation.

Differentiation is a mathematical process that determines the instantaneous rate of change of a function based on one of its variables. The most common example is velocity, which is the rate of change of displacement with respect to time. Anti-differentiation is the inverse of finding a derivative.
Differentiation is used to calculate the rate of change of quantities in real time.

Since, we have been given the cost function to be function \((cx)= 1.1^{2} - 660x+107,357\) then we have to find the first differentiation in order to get the value and this will be:-

\((cx)= 1.1^{2} -660x+107,357\\2.2x=660\\x=\frac{660}{2.2} \\x=300\)

Therefore, the number of cars that must be made to minimize the unit cost is 300 cars.

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Answer: \(x=\frac{16-4y}{3}\)

Step-by-step explanation:

Calculations:

\(3x +4y -4y=16-4y\) - Subtract 4y from both sides to get rid of it on one side.

\(3x=16-4y\)  - Simplify the equation.

\(\frac{3x}{3} =\frac{16-4y}{3}\)  - Divide both sides by 3 to isolate x.

\(x=\frac{16-4y}{3}\) - Simplify the equation again and you will receive your final answer.

Answer:

Reflection across x = -5

Answer:

4x=12

Step-by-step explanation:

Answer: 10n+9

Step-by-step explanation:

Answer:

1/4h

Step-by-step explanation:

The car trip is 1/2h shorter than the bus trip.

The bus trip is 3/4h long.

Therefore, the length of the car trip is:

3/4h - 1/2h = 1/4h

The car trip is 1/4h long.

Answer:

a linear approximation

a) (∃x)(∀y)(F(x,y))

i) English sentence: "There exists a car x such that for every car y, x is faster than y."

ii) Negation: ~(∃x)(∀y)(F(x,y))

iii) Negation as an English sentence: "It is not true that there exists a car x such that for every car y, x is faster than y."

The negation of the formula states that there does not exist a car x for which all cars y are slower than x. In other words, there is at least one car that is not slower than every other car.

b) (∀x)(∀y)(~F(x,y))

i) English sentence: "For every car x and every car y, x is not faster than y."

ii) Negation: ~(∀x)(∀y)(~F(x,y))

iii) Negation as an English sentence: "There exist cars x and y such that x is faster than y."

The negation of the formula states that there exist at least two cars, x and y, where x is faster than y. In other words, not all cars are slower than every other car.

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P = sum of the sides

P = 1,8k - 5 + (3,5 + 6,1k) + (k + 1,5)

  = 1,8k + 6,1k + k - 5 + 3,5 + 1,5

  =        8,9k        

A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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Answer:

1. -9xy

2. 6ab

3.-8mn

4. 17nx

Step-by-step explanation:

Answer:

C

-1/5, -1/3,-7

Step-by-step explanation:

a. average of 4 trucks at the weighing station,

b. Average service time = 1.2 minutes

c. the probability that both inspectors would be busy at the same time is 0.32

d. Average waiting time = 0.1 x 60 = 6 minutes

a. How many trucks would you expect to see at the weighing station, including those being inspected?

The arrival rate of trucks is 40 per hour. Each inspector can inspect 25 trucks per hour.

So, the effective service rate is 2 x 25 = 50 trucks per hour.

Using the M/M/2 queuing model (arrival process is Poisson and service process is exponential),

we can calculate the expected number of trucks in the system (including those being inspected) using the formula:

L = λ / (μ - λ)

Where:

λ = Arrival rate

μ = Service rate

Plugging in the values:

λ = 40 trucks/hour

μ = 50 trucks/hour

L = 40 / (50 - 40) = 4 trucks

Therefore, we would expect to see an average of 4 trucks at the weighing station, including those being inspected.

b. If a truck was just arriving at the station, about how many minutes could the driver expect to be at the station?

The average service time (1/μ) is 1/50 hours per truck. To convert this to minutes, we multiply by 60:

Average service time = (1/50) x 60 = 1.2 minutes

Therefore, the driver can expect to be at the station for about 1.2 minutes.

c. What is the probability that both inspectors would be busy at the same time?

The probability that both inspectors would be busy at the same time can be calculated using the formula for the M/M/2 queuing model:

P(both busy) = (ρ^2) / (1 - ρ)

Where:

ρ = λ / μ

Plugging in the values:

λ = 40 trucks/hour

μ = 50 trucks/hour

ρ = 40 / 50 = 0.8

P(both busy) = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 0.32

Therefore, the probability that both inspectors would be busy at the same time is 0.32 or 32%.

d. How many minutes, on average, would a truck that is not immediately inspected have to wait?

The average waiting time can be calculated using Little's Law, which states that the average number of customers in the system (L) is equal to the average arrival rate (λ) multiplied by the average time spent in the system (W):

L = λ * W

Rearranging the formula, we can solve for W:

W = L / λ

Plugging in the values:

L = 4 trucks

λ = 40 trucks/hour

W = 4 / 40 = 0.1 hour

To convert to minutes, we multiply by 60:

Average waiting time = 0.1 x 60 = 6 minutes

Therefore, a truck that is not immediately inspected would have to wait an average of 6 minutes.

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Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

Answer:

21/4 is the biggest number hope it helps, God bless ya'll!

Step-by-step explanation:

Answer:

4) 18.8

Step-by-step explanation:

What we are trying to find is the opposite of the triangle with the angle and the hypotenuse. The equation for that is sin(degrees) = opp/hyp

the degrees is 70, the opposite is x, and the hypotenuse is 20

sin(70) = x/20

0.93969262078 = x/20

18.7938524 = x

18.7938524 rounds to 18.8 so the answer is 4

Given that Percy is building a deck and rounding the measurements to the nearest tenth of a foot. We need to calculate the area of the deck and multiply it by the cost per square foot. The cost would be at least one value, but less than another value.

The photo mentioned is not visible in the text-based conversation. However, I can provide a general explanation of how to calculate the possible range for the cost of lumber based on the area of the deck. First, calculate the area of the deck by multiplying the length and width of the deck in feet. Round the measurements to the nearest tenth of a foot, as mentioned. Let's say the calculated area is A square feet. To determine the possible range for the cost of lumber, multiply the area A by the cost per square foot, which is given as $11.99. This will give you the maximum cost, as the cost cannot exceed this value. Additionally, you need to consider the minimum cost. This occurs when the calculated area A is rounded down to the nearest integer value, as rounding down reduces the total area. Multiply this rounded-down area by the cost per square foot to obtain the minimum cost. Therefore, the cost of the lumber needed to build the deck would be at least the minimum cost (calculated by rounding down the area) and less than the maximum cost (calculated using the exact area).

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Answer:

\(\frac{-29}{36}\)π

Step-by-step explanation: