Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm

Answer:

b=9.96≅10

Step-by-step explanation:

b^2=a^2+c^2−(2ac)cos(64)

b=√6²+11²-2(6*11)cos64

b=9.96≅10

The equation for the total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that, there is a charge of $4 per kite plus a flat rate of $8 to ship these items to Alaska.

Let x be the number of kites purchased.

Cost for the kites purchased = 4x

Total cost including the shipping charge = 4x + 8

When x = 0, y = $8

When x = 1, y = 4 + 8 = 12

When x = 4, y = 16 + 8 = 24

When x = 7, y = 28 + 8 = 36

When x = 10, y = 40 + 8 = 48

Hence the equation of the total cost is y = 4x + 8.

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Given the propositions,

P ↔ QQ <-> RP ↔ R

We are supposed to justify each step of the proof using derived rules and basic rules.

proof:

Given, P ↔ Q

From the bi-conditional statement, we can derive the following two implications:

1. P → Q and

2. Q → P

Rule used: Bi-Conditional elimination.

From statement QR, we have Q and R, and thus we can use the conjunction elimination rule.

Rule used: Conjunction elimination.

From statement P → Q and Q, we have P using the modus ponens rule.

Rule used: Modus ponens.

From the statement P ↔ R, we can derive the following two implications:

1. P → R and

2. R → P

Rule used: Bi-Conditional elimination.

From the statement R + P, we have R ∨ P, and thus we can use the disjunction elimination rule to prove R or P. We can prove both cases separately:

Case 1: From R → P and R, we can use the modus ponens rule to prove P.

Case 2: P. From P → R and P, we can use the modus ponens rule to prove R.

Rule used: Disjunction elimination.

From statement Q → R, and Q, we can prove R using the modus ponens rule.

Rule used: Modus ponens.

From the statements R and Q, we can prove R ∧ Q using the conjunction introduction rule.

Rule used: Conjunction introduction.

From the statements P and R ∧ Q, we can use the conjunction introduction rule to prove P ∧ (R ∧ Q).

Rule used: Conjunction introduction.

From P ∧ (R ∧ Q), we can use the conjunction elimination rule to derive the statements P, R ∧ Q.

Rule used: Conjunction elimination.

From R ∧ Q, we can use the conjunction elimination rule to derive R and Q.

Rule used: Conjunction elimination.

From the statements P and R, we can derive P → R using the conditional introduction rule.

Rule used: Conditional introduction.

From the statements R and P, we can derive R → P using the conditional introduction rule.

Rule used: Conditional introduction.

Thus, we have proved that P ↔ R.

Rule used: Bi-conditional introduction.

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Answer:

-78, -5, -2, 18,23

Step-by-step explanation:

The biggest negative always is the smallest because it is further from 0

Answer:

d) -78, -5, -2, 18, 23

Step-by-step explanation:

Now we have to,

→ arrange in ascending order.

Let's arrange the numbers,

→ 23, -78, -2, 18, -5

→ -78 < -5 < -2 < 18 < 23

→ -78, -5, -2, 18, 23

Hence, option (d) is correct.

The error message "Difference order N must be a positive integer scalar" is indicating that there is an issue with the input argument for the diff function.

The diff function is used to calculate the difference between adjacent elements in a vector.
In the code you provided, the line that is causing the error is:
f_prime0 = diff(f,x0,xinc);
To fix this error, you need to ensure that the input arguments for the diff function are correct.

To fix this problem, you need to look at the code in the Newton_Raphson_tutorial function and possibly also the Tutorial_m function. You probably get an error when computing the derivative with the 'diff' function.

However, we can offer some general advice on how to fix this kind of error. The error message suggests that the variable N used to specify the difference order should be a positive integer scalar.

Make sure the variable N is defined correctly and has a positive integer value.

Make sure it is not assigned a non-integer or non-scalar value.

Make sure the arguments to the diff function are correct.

The diff function syntax may vary depending on the programming language or toolbox you are using.

Make sure the variable to differentiate ('f' in this case) is defined and suitable for differentiation.

Make sure that x0 and xinc are both positive integer scalars, and that f is a valid vector or matrix.
Additionally, it's important to check if there are any other errors or issues in the code that could be causing this error message to appear.

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Answer:

3 days

Step-by-step explanation:

10×400= 4,000 meters= 4 kilometers per day

12,000 meters= 12 kilometers

12,000÷4,000= 3 days

Answer:

C, which is 340!

Step-by-step explanation:

Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)

The area of polygon = 340 square units.

Area of rectangle = Length \(\times\) \(\tmes\)breadth

Area of rectangle (side A) = 19 \(\times\) 4 = 76

Area of rectangle (Side B) = 24 \(\times\) 14 = 264

To estimate the area of the polygon, add both of the equations then we get

Area of the polygon

= Area of a rectangle (side A) + Area of a rectangle (Side B)

= 76 + 264

Area of the polygon  = 340 square units.

Therefore, the correct answer is option C. 340 square units.

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The Empirical Rule states that around 95% of the data in a normal distribution falls within two standard deviations of the mean. The mean ACT Math score in this case is 21, the standard deviation is 3, and the range is 15 to 27.

To determine the interval within which about 95% of the students' scores fall, we can use the Empirical Rule. Since two standard deviations encompass about 95% of the data, we multiply the standard deviation by 2 and add/subtract the result from the mean.

For the ACT Math scores:

Mean - 2 * Standard Deviation = 21 - (2 * 3) = 21 - 6 = 15

Mean + 2 * Standard Deviation = 21 + (2 * 3) = 21 + 6 = 27

Therefore, approximately 95% of the students' ACT Math scores would fall within the interval of 15 to 27.

This means that most of the students' scores are expected to be within this range, with fewer scores falling outside of it. It provides a general understanding of the distribution of scores and helps us identify the central range within which a large majority of the students' scores lie.

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Answer:

The final final number becomes 102 % of the original number

Step-by-step explanation:

Let the initial number be 100

After decreasing 15%, the new number is 100-15% of 100 = 85

The resulting number is then increased by 20%. The new number will be

85 + 20% of 85 = 85 + 17 = 102

The final final number becomes 102/100 * 100  percent of the original number

The final final number becomes 102 % of the original number

To calculate depletion expense, you need to determine the depletion per unit. The depletion per unit can be calculated by taking (cost of the resource) / total units of capacity.

Depletion is an accounting method used to allocate the cost of natural resources over their useful life. It is commonly used in industries such as mining, oil and gas extraction, and timber harvesting, where companies extract and deplete natural resources as part of their operations.

The first step in calculating depletion expense is to determine the cost of the resource. This includes all costs incurred to acquire and develop the resource, such as exploration costs, development costs, and acquisition costs. These costs are typically capitalized and then allocated over the estimated recoverable units of the resource.

Once you have determined the cost of the resource, you need to calculate the total units of capacity. This refers to the estimated amount of resource that can be extracted or harvested from the reserve. For example, in mining, it could be measured in tons of ore, while in oil and gas extraction, it could be measured in barrels or cubic feet.

To calculate the depletion per unit, divide the cost of the resource by the total units of capacity. This will give you the amount of depletion expense that should be recognized for each unit extracted or harvested.

It's important to note that there are different methods for calculating depletion expense, such as units-of-production method and percentage depletion method. The units-of-production method calculates depletion based on actual production or extraction during a given period. On the other hand, the percentage depletion method allows for a fixed percentage deduction from gross income based on statutory rates.

In conclusion, to calculate depletion expense, you need to determine the depletion per unit by dividing the cost of the resource by the total units of capacity. This allows for an appropriate allocation of costs over the useful life of natural resources.

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Answer:

3.2

Step-by-step explanation:

I'm not totally sure what you mean. I'm reading it as y² = 5x

So let y = 4

4² = 5x            

16 = 5x                    Divide by 5

16/5 = x

3.2 =  x

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

Step-by-step explanation:

Make the substitution first for x:

\(\frac{5(2sint)}{\sqrt{4-(2sint)^2} }\) and simplify a bit:

\(\frac{10sint}{\sqrt{4-4sin^2t} }\). Factor a 4 out of the expression under the radical:

\(\frac{10sint}{\sqrt{4(1-sin^2t)} }\) and pull out the perfect square in 4 as a 2:

\(\frac{10sint}{2\sqrt{1-sin^2t} }\) and divide 10 by 2 to get:

\(\frac{5sint}{\sqrt{1-sin^2t} }\)

Our Pythagorean trig identity tells us that

\(sin^2(t)+cos^2(t)=1\) so

\(1-sin^2(t)=cos^2(t)\). Make that substitution:

\(\frac{5sint}{\sqrt{cos^2t} }\)  The denominator can be simplified (the squaring of the square root each cancel out), leaving us with:

\(\frac{5sint}{cost}\).  Sin over cos is the same as tangent, so our final simplification is

5tan(t)

Answer:

29

Step-by-step explanation:

23x2=46-17=29 so 29 the answer

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

    -6  -6

12x=36

x=3

Answer:

x=3

Step-by-step explanation:

(5x*2)+ ((x-3)2)=42

10x+2x-6=42

12x-6=42

   -6  -6

12x=36

x=3

The diagram shows statements to prove that both triangles are congruent.

Hence;

Step 1 showed two sides that are congruent for both triangles

Step 2 showed two angles that are congruent

Step 3 showed two sides that are congruent

Therefore, the triangles are congruent by the side-angle-side theorem

Answer:

26 miles

Step-by-step explanation:

20*1.3

Adam currently runs 26 miles per week

Answer:

Explanation: We have to find the resultant velocity of the pedestrian, the sketch of the scenario is as follows:

The resulting rate is as follows:

The amount of milliliters (ml) you should give the child is 1.5 ml

The given parameters are:

infant's Tylenol, 5 ml = 160 mg

This can be represented as

5 ml = 160 mg

Let the number of ml to give a child that requires 48 mg be x

So, we have:

5 ml = 160 mg

x = 48 mg

Cross multiply

x * 160 = 48 * 5 ml

Divide both sides by 160

x = 1.5 ml

Hence, the amount of milliliters (ml) you should give the child is 1.5 ml

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Answer:

A first numbers cant be same

Answer:

d) 37 degrees, 52 minutes

Step-by-step explanation:

3x-2y+1=0       y = 3/2 x + 1/2       ... slope₁ (m₁ = 3/2)

x-3y=0           3y =1/3 x                      ... slope₂ (m₂ = 1/3)

acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)

tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777

θ = 37.875°

In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need  14.06 8x8x16 block and 10.14 cubic feet mortar.

Number of blocks:

Since each block is 8x8x16 inches, the volume of one block is:

Volume of one block = Length x Width x Height

                                   = 8 inches x 8 inches x 16 inches

                                   = 1024 cubic inches

To calculate the number of blocks needed, we divide the wall area by the area of one block:

Number of blocks = Wall area in square inches / Area of one block

                              = 14,400 square inches / 1024 cubic inches

                              ≈ 14.06

Rounding to the nearest whole number, the correct answer is 14 blocks.

Amount of mortar:

To determine the amount of mortar needed, we multiply the wall area by the joint thickness:

Volume of mortar = Wall area x Joint thickness

                              = 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches

                              ≈ 10.14 cubic feet

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The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .

Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.

The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:

2f < 223

Here 223 is the time for Kelvin.

Check for Lori as follows:

2f < 223

2 x 55=110 < 223

Kelvin skied without falling more than twice as long as Lori.

Check for Vanessa as follows:

2f < 223

2 x 265=530>223

Check for Arnold as follows:

2f < 223

2 x 356=712>223

Kelvin skied without falling less than twice as long as Arnold.

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Complete question:

Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.

Lori 55

Vanessa 265

Devon 172

Celia 112

Arnold 356

The probability that there are less than two errors in a particular chapter and exactly two errors in a particular chapter is 0.1992 and 0.2240 respectively

We can model the number of errors in a chapter as a Poisson distribution with a mean of 3.0, since the occurrence of errors is random and independent, and the average number of errors is known.

Let X be the random variable representing the number of errors in a chapter.

To find the probability of less than two errors in a particular chapter, we need to calculate P(X < 2).

P(X < 2) = P(X = 0) + P(X = 1)

= e^(-3.0) × (3.0^0 / 0!) + e^(-3.0) × (3.0^1 / 1!)

= 0.0498 + 0.1494

= 0.1992

Therefore, the probability that there are less than two errors in a particular chapter is 0.1992 or approximately 19.92%.

To find the probability of exactly two errors in a particular chapter, we need to calculate P(X = 2).

P(X = 2) = e^(-3.0) × (3.0^2 / 2!)

= 0.2240

Therefore, the probability that there are exactly two errors in a particular chapter is 0.2240 or approximately 22.40%.

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Answer:

for Identify two-dimensional (2-D)Figures and their positions.

2D stands for 2-dimensional. 2-dimensional shapes are flat and only have two dimensions: length and width. They include squares, rectangles, circles, triangles

Step-by-step explanation:

Answer:

\(55 \leqslant x < 65 \)