12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?

Answer:

i tried my best. But its not worth it

sowwy

An orthogonal transformation of the given quadratic form is 2(x + y)² - 2z².

Orthogonal transformation is a linear transformation that preserves the length of a vector in an inner product space. A quadratic form is a homogeneous polynomial of degree 2 in n variables, and the quadratic forms that can be reduced by an orthogonal transformation to the diagonal form are said to be orthogonal diagonalizable.

Let's consider the quadratic form 4x + 4x + 4x + 2x₁x₂ + 2x₁x₂ + 2x₂x₂:

Q(x) = 4x² + 4x² + 4x² + 2x₁x₂ + 2x₁x₂ + 2x₂x₂

= (2x + 2x + 2x)² - 2(x - x)² - 2(x - x)²

By completing the square, we can see that the given quadratic form is equivalent to Q(x) = 2(x + y)² - 2z², where x + y = a, and x - y = b. Therefore, an orthogonal transformation of the given quadratic form is 2(x + y)² - 2z².

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The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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To find the volume of an oblique hexagonal prism, you need to multiply the base area by the height.

Given that the base area is 136 square centimeters and the height is 15 centimeters, we can use the formula: Volume = Base Area x Height.


The volume of the oblique hexagonal prism is calculated by multiplying the base area by the height. Therefore, the volume is equal to 136 square centimeters multiplied by 15 centimeters.


To find the volume of an oblique hexagonal prism, we first need to know the base area and the height of the prism. In this case, the base area is given as 136 square centimeters and the height is 15 centimeters. The formula for the volume of a prism is Volume = Base Area x Height.

By substituting the given values into the formula, we can calculate the volume. Thus, the volume of the oblique hexagonal prism is equal to 136 square centimeters multiplied by 15 centimeters, which gives us the final answer.


The volume of the oblique hexagonal prism with a height of 15 centimeters and a base area of 136 square centimeters is equal to the product of the base area and the height, which is 2040 cubic centimeters.

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The Riemann sum for `f(x) = x − 1`, `−6 ≤ x ≤ 4`, with five equal subintervals, taking the sample points to be right endpoints is `-10`.

The Riemann sum for `f(x) = x − 1`, `−6 ≤ x ≤ 4`, with five equal subintervals, taking the sample points to be right endpoints is shown below:

The subintervals have a width of `Δx = (4 − (−6))/5 = 2`.

Therefore, the five subintervals are:`[−6, −4], [−4, −2], [−2, 0], [0, 2],` and `[2, 4]`.

The right endpoints of these subintervals are:`−4, −2, 0, 2,` and `4`.

Thus, the Riemann sum for `f(x) = x − 1`, `−6 ≤ x ≤ 4`, with five equal subintervals, taking the sample points to be right endpoints is:`

f(−4)Δx + f(−2)Δx + f(0)Δx + f(2)Δx + f(4)Δx`$= (−5)(2) + (−3)(2) + (−1)(2) + (1)(2) + (3)(2)$$= −10 − 6 − 2 + 2 + 6$$= −10$.

Therefore, the Riemann sum for `f(x) = x − 1`, `−6 ≤ x ≤ 4`, with five equal subintervals, taking the sample points to be right endpoints is `-10`.

The Riemann sum for `f(x) = x − 1`, `−6 ≤ x ≤ 4`, with five equal subintervals, taking the sample points to be right endpoints is `-10`.

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The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

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Thus, the value of y for the given direct variation is found as y = 34.96 (Rounded up to two decimal places).

When two quantities, including such time and distance or hours and compensation, change directly, they do so at a predictable rate.

The constant of variation is another name for the constant rate of increase or decline. We will examine three different methods of showing direct variation in this lesson: an equation, a table, and just a graph.

For the given question:

y varies directly as the square root of x.

y ∝ √x

y = k√x  

Here, k is the constant of proportionality

Now,

y=43 when x=289 .

43 = k√289

k = 43/√289

k = 2.53

Now, y when  x=191.

y = k√x  

y = 2.53√191

y = 34.96

Thus, the value of y for the given direct variation is found as y = 34.96 (Rounded up to two decimal places).

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Answer:

3.3

Step-by-step explanation:

it is the right anwer baby

Answer:

Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.

Answer:

yes this looks correct to me

Step-by-step explanation:

Answer:

Thats correct

Step-by-step explanation:

The derivative of h(x) with respect to x is zero, so h'(5) = 0. The explanation highlights the substitution of values and the differentiation of the function h(x) to obtain the result h'(5) = 0.

To find h'(5), we need to differentiate the function h(x) with respect to x and then evaluate it at x = 5.

Given h(x) = √3 + 2f'(x), we know that f'(x) represents the derivative of the function f(x).

Since we are given f'(5) = 2, we can substitute this value into the expression for h(x):

h(x) = √3 + 2(2)

Simplifying, we have:

h(x) = √3 + 4

Now, to find h'(5), we need to differentiate h(x) with respect to x:

h'(x) = 0 + 0

Differentiating a constant term such as √3 or 4 yields zero, as it does not vary with x.

Therefore, h'(5) = 0.

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Answer:

A number that is less than zero

Step-by-step explanation:

-13, -56

Answer:

JP = 18

PS = 9

Step-by-step explanation:

ps being the shorter side is one third of the line JS and 1/3 of 27 is 9

jp being the longer side is 2/3 the length of js and 2/3s of 27 is 18

Answer:

JP=18

PS=9

Step-by-step explanation:

centroid divides median in the ratio 2:1

so,

JP:PS=2:1

Now take PS be x

then JP=2x

now, given JS=27

JP+PS=27

2x+x=27

3x=27

x=9

so,

PS=9

AND JP=18

Answer: B. y = 3x - 5

Step-by-step explanation:

    First ,we know Option C will not be an option because of the y-intercept (the point at which the line intersects the y-axis) is -5. This is shown by the point (0, -5). Option C shows it as 1.

    We will substitute a point into the given equations and see if the simplified version remains true.

✗ A ➜ y = -3x - 5

  ➜ -2 = -3(1) - 5

  ➜ -2 ≠ -8

✓ B ➜ y = 3x - 5

  ➜ -2 = 3(1) - 5

  ➜ -2 = -2

✗ D ➜ y = -x - 5

  ➜ -2 = -1 - 5

  ➜ -2 ≠ -6

    Using this method of substitution, we can see the answer is B.

Therefore , the solution of the given problem of equation comes out to be  x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

If n is a negative number and 5 + x = n, then x must be less than -5.

This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.

However,

if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.

Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.

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Answer:

41 units

Step-by-step explanation:

The Pythagorean  Theorem is given by :

\(a^2+b^2=c^2\)

In a right ΔABC, AB = 40, BC = 9, & AC = x (AC is the hypotenuse)

Using the above theorem,

\(x^2=40^2+9^2\\\\x=41\)

So, the value of AC is equal to 41 units.

Whether the population standard deviation is known or unknown affects the expression used for the interval estimate. Hence, option c. is the right response.

The expression used to compute an interval estimate of a population parameter (such as the mean) depends on the sample size, whether there is sampling error, and whether the population has an approximately normal distribution.

However, whether the population standard deviation is known or unknown also affects the expression used for the interval estimate.

If the population standard deviation is known, a z-score can be used in the calculation, whereas if it is unknown, a t-score is used and the sample standard deviation is used as an estimate for the population standard deviation. Therefore, c is the factor that does affect the expression used for the interval estimate.

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Answer:

Step-by-step explanation:

I am not sure if this is the equation you ask about?

x²-4x-3√2 =0

... or is it ?

x²-4x-3 =0

9514 1404 393

Answer:

  fill in the coefficients and evaluate the formula

  x ≈ 2±√(4+3√2) ≈ {-0.871, 4.871}

Step-by-step explanation:

The quadratic formula for the solution of ...

  ax² +bx +c = 0

is ...

  \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

The use of this formula requires that you know the values of a, b, c. You can find these by comparing the given quadratic with the standard form, above.

When you are asked for "roots" or "zeros", you are being asked for the values of x that make the polynomial have a value of zero:

  x² -4x -3√2 = 0

In this form, you can see the coefficients are ...

  a = 1, b = -4, c = -3√2

Using these values in the quadratic formula, you have ...

  \(x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-3\sqrt{2})}}{2(1)}=\dfrac{4\pm\sqrt{16+12\sqrt{2}}}{2}\\\\\boxed{x=2\pm\sqrt{4+3\sqrt{2}}\approx\{-0.871000, 4.871000\}}\)

Answer:

irrational

Step-by-step explanation:

An irrational number has an endless number of digits to the right of the decimal

The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

Explanation:

The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.

To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:

Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute

To find the time interval, we can subtract 2 from 8:

Δt = 8 - 2 = 6 minutes

Now we can use the formula for average acceleration:

a = Δv/Δt = (-220)/6 = -40 meters per minute squared

Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.

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The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.

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To calculate the maximum (M V/M 01), we can use the following formula:
(M V/M 01) = (1 - ε 1) / (1 - ε 1 * ε 2 * ε 3)

Given that ε 1 = ε 2 = ε 3 = 0.15, we can substitute these values into the formula:
(M V/M 01) = (1 - 0.15) / (1 - 0.15 * 0.15 * 0.15)

Simplifying the equation gives us:
(M V/M 01) = 0.85 / 0.9827

Calculating this division, we find:
(M V/M 01) ≈ 0.8656

The value of (M V/M 01) is approximately 0.8656.

Now, let's address why an explicit optimization is not required in this case. In the problem statement, it is mentioned that I sp1 = I sp2 = I sp3 = 370 s. This means that the specific impulse of each stage is the same. Additionally, ε 1 = ε 2 = ε 3 = 0.15. This indicates that each stage has the same exhaust velocity ratio.

When the specific impulse and exhaust velocity ratios are the same for each stage, an explicit optimization is not necessary. This is because the rocket stages are already optimized to achieve the desired characteristics. Therefore, we can directly calculate the maximum (M V/M 01) without the need for additional optimization.

Moving on to the next part of the question, we are given the payload mass (M L) as 20000 kg. To compute the structural mass of the first stage (M s1), we can use the following formula:

M s1 = M V * M L / (M V/M 01 - M L)

Substituting the given values, we have:
M s1 = 0.8656 * 20000 / (0.8656 - 20000)

Simplifying the equation gives us:
M s1 ≈ 0.0175 * 20000 / (-19983.49)

Calculating this division, we find:
M s1 ≈ 0.0175 * -0.0010002
M s1 ≈ -0.0000175

The structural mass of the first stage (M s1) is approximately -0.0000175 kg. However, this negative value doesn't make physical sense. Therefore, there might be an error or inconsistency in the given values or calculations. It's recommended to double-check the given information and calculations to ensure accuracy.

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Answer:

\( \frac{8}{25} \)

Explanation

\( \frac{0.32}{100} \)

2 numbers are beyond the decimal point. This is in the hundredths place. So place the decimal upon 100. It will become

\( \frac{32}{100} \)

To simplify this fraction find the lowest common multiple that can go both in 32 and a 100 without leaving a remainder. That would be 4.

32 ÷ 4 = 8

100÷4 = 25

Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55

The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.

The expected value of the profit on all the models is:

= ∑ ( percentage of customers x Profit per model)

= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)

= (25% x 60) + (33% x 75) + (32% x 40)  + ( (1 - 25% - 33% - 32%) x 50)

= $57.55

Options for this question are:

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Solving the equation for y, it is found that the amount that John spends on snacks is given by:

\(y = 8x + 15\)

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

The relation of these measures is given by the equation:

\(8x + 15 - y = 0\)

The amount spent on snacks is y, thus, we solve the equation for y.

\(8x + 15 - y = 0\)

\(- y = -8x - 15\)

\(y = 8x + 15\)

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The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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Answer:

88 \(in^2\)

Step-by-step explanation:

2(2 x 6 + 4 x 6 + 4 x 2)

\(2\)\((wl+hl+hw)\)

Answer:

1. True

2. HGK

3. 17⁰

Step-by-step explanation:

1. All angles in a triangle need to add up to 180. The right angle is a given 90⁰ so the other two angles need to add up to 90⁰ to equal 180⁰. Angle C corresponds to Angle K so Angle H corresponds to Angle E. So add Angle C and H together and it sums up to 90⁰ so it is true.

2. HGK; you match it up with the markings inside the triangle

3. Same logic with number 1 but you subtract 90 from 73 to find Angle K.

I hope this helps!!!

Answer:

i have made it in above picture

hope it helps