For the equation given below, evaluate y' at the point (2, 1).

2x³y - 3x² = 4

y' at (2, 1) = ??

Answer:

-2,-1.5,-1,-0.5 etc

Step-by-step explanation:

The smaller the negative value the greater the value compared to other negative value carrying a negative sign.

The score the student must get on the next test to get a C average or better is 86.

From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.

The next score will be calculated as x.

60 + 71 + 63 + x = (70 × 4)

194 + x = 280

x = 280 - 194

x = 86

Therefore, the next score must be 96.

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The perimeter of the given figure is 56x.

So, perimeter: sum of all the sides

Then, according to the given figure:

Therefore, the perimeter of the given figure is 56x.

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Answer:

0.035

Step-by-step explanation:

hope this helps :)

The width of the drawing maintaining the given scale factor will be 70.83 inches².

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio between two dimensions that determines how big or tiny a given figure is.

The length of the floor in actuality = 30 feet

⇒ 30 × 12 = 360 inches

Length of the floor in drawing = 10 inches

Scale factor = 10/360 = 1/36

By maintaining this scale factor

Width of the floor in drawing = (21 × 12)/36

⇒ 7.083 inches

Area = length × width

Area = 10 × 7.083

⇒ 70.83 inches²

Hence "The width of the drawing maintaining the given scale factor will be 70.83 inches²".

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Answer:

The answer is that there are 18 different combinations of vehicles.

Step-by-step explanation:

We are given that the number of vehicles for his business = 3.

The vehicles are a car, truck, and motorcycle.

So we know that there is two possibilities for car: Red and yellow.

Three possibilities for truck: Black, white, and silver.

Three possibilities for motorcycle: Green, blue and orange.

So now we can make an equation of the different combinations of vehicles that Edwin have to chose from.

So 3 x 3 x 2 = 18

Therefore, there are 18 different combinations of vehicles.

I hope this helps, have a good day!! :D

The thickness of the paper and the construction board will be 9.5  x [tex]10^{-2}[/tex] mm.

The thickness of the paper is written in standard form while the thickness of the construction board is written in scientific notation.

Scientific notation is used to compress large numbers into smaller number. In order to write a digit that is less than zero in scientific notation, count the numbers after the decimal point to the first non-zero digit, the numbers counted would be the power of the notation. he power would have a negative number.

Thus, 0.025 becomes 2.5 x [tex]10^{-2}[/tex]

(2.5 x [tex]10^{-2}[/tex]) + (7  x [tex]10^{-2}[/tex]) = 9.5  x [tex]10^{-2}[/tex] mm

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Answer:

100

Step-by-step explanation:

first let's convert 240 mins to hours

240/60 = 4

now let's find approximately how many pages per hour

200/4 = 50

so, in one hour she approximately read 50 pages

let's say she reads 25 pages per hour

25(4)= 100

The number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

In this question we have been given a standard deck of 52 cards.

We need to find the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement.

We use the permutation formula.

We know that the number of ways to choose r elements from a set of n distinct objects where order does matter and replacements are not allowed.  

^n(P_r) = n! / (n - r)!

We know that, in a standard deck of 52 cards, there are 13 spade cards.

So, n = 13

5 spades to be drawn

So, r = 5

Using the formula of permutation,

^13(P_5)

= 13! / (13 - 5)!

= 154440

Therefore, the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

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Answer:  a

Step-by-step explanation:

Every six powers of ten, the cycle repeats. In other words, a repeating decimal with a denominator of 7 can have a repeating cycle that is up to six digits long.

The repeating cycle of a repeating decimal for the rational number with a denominator of 7 can be determined by considering the factors of the denominator.

In this case, the denominator is 7, which is a prime number. The length of the repeating cycle can be determined by examining the powers of 10 modulo 7.

To find the length of the repeating cycle, we need to find the smallest positive integer "n" for which 10ⁿ - 1 is divisible by 7. In other words, we are looking for the smallest "n" such that 10ⁿ ≡ 1 (mod 7).

Let's calculate the powers of 10 modulo 7:

10¹ ≡ 3 (mod 7)

10² ≡ 2 (mod 7)

10³ ≡ 6 (mod 7)

10⁴ ≡ 4 (mod 7)

10⁵ ≡ 5 (mod 7)

10⁶ ≡ 1 (mod 7)

As you can see, the cycle repeats every 6 powers of 10. This means that the repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.

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The intended population based on the information given is LMC students.

The actual population based on the information illustrated is Transfer Academy.

The sample is the 25 friends that the student talked to.

Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.

According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.

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The probability of at least 2 students showing up is .70 or 70%

Let X be the number of students who show up for a professor's office hour on a particular day, probability of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15

If we add the probability of 1 student showing up, 2 students to show up, 3 students to show up, and 4 students showing up

We get 0.10+ 0.20+ 0.25+ 0.15 =1

As the sum of these individual 4 possibilities is 1 that means these are the only possibilities  to exit

Now we need to find out  the probability of at least 2 students showing up which means the probability of two or more students showing up

Which can be written as

            p(≥2) = p(2) + p(3) + p(4)

            p(≥ 2) = 0.25+0.30+0.15

           p(≥2) = 0.70

Hence, the probability of at least 2 students showing up is .70 or 70%

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Based on the given information, the EFG GH Findings.

Refer to the symbols and their associated meanings below.

The symbols shown signify the following.

operations/relationships:

A+B denotes that A is bigger than B.

A-B indicates that A is less than B.

A is more than or equal to 8 when A=B.

A B denotes that A and B are not equal.

A = B is expressed as A/B.

based on the details offered?

Statements: EFG GH Findings

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The cost of 12¼ m of cloth is 212.3 rupees.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

We have been given that 1 m of cloth costs rupees 17⅓.

We have to determine the cost of 12¼ m of cloth.

Let the cost of 12¼ m of cloth would be x rupees

We can write this as a ratio as

1 m : rupees 17⅓ = 12¼ m : x rupees

[17⅓ = 52/3 = 17.3 and 12¼ = 49/4 = 12.25]

1 m : 17.3 rupees  = 12.25 m : x rupees

⇒ 1 /17.3  = 12.25 /x    

⇒ (1)(x) = (12.25 )×(17.3)

⇒ x = 212.3

Therefore, the cost of 12¼ m of cloth is 212.3 rupees.

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Because food grows more quickly in the hills when exposed to heat and rain rather than sunlight all day. Then for 1 sheep 1 bushel is required in the hills.

What are statistics?

The practice or science of organizing and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Given that a remote agricultural nation is divided into two distinct geographic areas: a lowland plain and an upland of rough hills. A farmer can grow 10 bushels of grain or pasture 10 sheep on one unit of land on the plain. A farmer in the hills can pasture 4 sheep or grow 2 bushels of grain on one unit of land.

As opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphill = 10 sheep = 10 bushels

For uphill = 1 sheep = 1 bushels

For down plain = 4 sheep = 2 bushels

For down plain = 1 sheep = (1 / 2 ) bushels

Therefore, then for 1 sheep 1 bushel is required in the hills.

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Part 1

[tex](f+g)(x)=f(x)+g(x) \\ \\ =4x+9+7x-5 \\ \\ =11x+4[/tex]

Part 2

[tex](f-g)(x)=f(x)-g(x) \\ \\ =(4x+9)-(7x-5) \\ \\ =4x+9-7x+5 \\ \\ =-3x+14[/tex]

Part 3

[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =(4x+9)(7x-5) \\ \\ =28x^2-20x+63x-45 \\ \\ =28x^2+43x-45[/tex]

Part 4

[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ =\frac{4x+9}{7x-5}[/tex]

one negative two and then shifted to the rights, that's the translation to the right two units.

What is the sequence of transformation?

its  a 180 Degree Rotation.

And let's see With a 180 degree rotation.

, we can say  coordinates is that  X. Y. Two negative X. Negative Y.

It goes to one negative two and he goes to two negative five And c goes to 5 -2.

So if  one negative two and then shifted to the rights, that's the translation to the right two units.

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The temperature at which the crickets do not chirp is represented by the number 38, which serves as the y-intercept of the linear equation.

The equation is as follows:

T = 38 + 0.3*c

The temperature is denoted by T, while the number of chirps in a minute is denoted by c.

We want to know what the number 38 means.

Take c = 0 to demonstrate this as there are no chirps.

Then:

T = 38 + 0.33*0 = 38

T = 38

This is the temperature where crickets cease to chirp.

The temperature at which the crickets do not chirp is represented by the number 38, which is the y-intercept of the linear equation.

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Energy consumed equals 0.133 W/kg

What is energy?

Energy is described as the "capacity to accomplish work, which is the ability to apply a force that causes an object to move." Despite this perplexing terminology, the meaning is straightforward: energy is just the force that causes objects to move. Potential energy and kinetic energy are the two forms of energy.

Weight = 147 lb = 66.68 kg (since, 1 lb = 0.453 kg)
Energy consumed = 1.785 x 103 kcal/day
In Watts = 1.785 x 103 x 0.0484 = 8.9 W/day

Energy consumed watts per kilogram = 8.9/66.68 = 0.133 W/kg

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The expression that represents the area of the given rectangle is: 2x² - 11x - 6.

The area of a rectangle is the product of its width and its length. A rectangle's area is calculated using the formula below:

Area = (length)(width)

Given the following:

Length of the rectangle = 2x + 1

Width of the rectangle = x - 6

Therefore, substituting these into the formula, we have:

Area of the rectangle = (2x + 1)(x - 6)

Area of the rectangle = 2x(x - 6) +1(x - 6)

Area of the rectangle = 2x² - 12x + x - 6

Combine like terms

Area of the rectangle = 2x² - 11x - 6

Therefore, the expression that represents the area of the given rectangle is: 2x² - 11x - 6.

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The maximum number of performers in each row so that all the rows are equal in length is C. 16.

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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Answer: =−13 1/3

Step-by-step explanation:

Answer:add 5 and 4, you get 9. divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share.

Step-by-step explanation:

Answer:

Sam gets £30

Bethan gets £24

Step-by-step explanation:

Since they split the money in a ratio of 5:4, that means for every 5 parts of the money that Sam gets, Bethan gets 4 parts. The total of 5 parts and 4 parts is 9 parts.

To find how much each part is, we divide £54 by 9.

£54/9 = £6

Each part is £6.

Sam gets 5 parts: 5 × £6 = £30

Bethan gets 4 parts: 4 × £6 = £24

The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

The given parameters are

Red = 10

Yellow = 5

Blue = 6

The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is

P = P(Blue) * P(Red Having selected Blue)

So, we have

P = 6/21 * 10/20

Evaluate

P = 1/7

Hence, the probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

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Answer-

-They are related because they are numbers that are less than 1 that can be converted into a fraction.

-They also both contain the number nine.

-They are not repeating decimals.

-They are positive numbers.

Those are just a few examples of how they are related. I hope this helps, good luck!

The sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'. which is the correct answer would be (D)

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Triangle ABC has translated 12 units to the right, followed by a reflection across the x-axis. Which is a true statement

Triangle ABC is reflected across the y-axis, followed by a translation 12 units down. Which is a false statement

Triangle ABC is reflected across the x-axis, followed by a translation of 12 units to the right.  Which is a true statement

Therefore, the sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'.

Hence, the correct answer would be (D)

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The probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

Given that x is uniformly distributed between 0 and 2.

Therefore, the probability density function:

f(x)= 1 / (b-a) = 1 / (2-0)

= 0.5

This will be illustrated as:

P(X<=x)=(x-a)/(b-a)=(x-0)/(2-0)=x/2

Now, we have to find:

P(x >= 0.48)

= 1 - P(x<=1.68)

= 1-(0.48 / 2)

= 1 -0.24

= 0.76

Therefore, the probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

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The similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.

So, the similarity between two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can be placed on the same graph and the difference between the two is that they belong to different quadrants.

Therefore, the similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.

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Answer:

53.83 km.

Step-by-step explanation:

53.83 km.

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