in an army camp the provision for 20 people is 10 days what will be the food provision if 5 more people join the camp

Answer:

The choice second

\(y = \frac{1}{3} \times ( \frac{1}{4} ) ^{x} \)

Answer:

(x, y) = (-8, 19)

Step-by-step explanation:

9x + 3y = -15

-4x - 3y = -25

(9x + 3y) + ((-4x) - 3y) = -15 + (-25)

5x = -40

x = -8.

So,

9x + 3y = -15

9 * (-8) + 3y = -15

-72 + 3y = -15

3y = 57

y = 19

The rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

A 25 foot long ladder is leaning against a wall and sliding away at a rate of 15 ft/sec. We need to find how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 feet from the ground.Let's assume the length of the ladder be 'L'.Therefore, L = 25 feet. The rate at which the ladder is sliding away from the wall is given by dL/dt. dL/dt = 15 ft/sec. Let the height of the wall be 'h'.

Therefore, h = 7 feet.We need to find the rate at which the top of the ladder is sliding down the wall. Let's assume this rate be 'x'.We know that, the ladder, wall, and the ground form a right-angled triangle.Let's assume that the distance between the base of the ladder and the wall be 'y'. Therefore, we have:x^2 + y^2 = L^2Differentiating with respect to time t, we get:2x(dx/dt)+2y(dy/dt)=0dx/dt=−y(dy/dt),Since the ladder is sliding down the wall, dy/dt is negative.dy/dt = -15 ft/sec.We need to find x when y = 7. y = 7.

Therefore, \(x=√(L2−y2)=√(252−72)=√(625−49)=√576=24\)ft.

Now, we can substitute the values in the equation we obtained for dx/dt.dx/dt = -y (dy/dt)= -7 × (-15) = 105 ft/sec.Hence, the rate at which the top of the ladder is sliding down the wall when the top of the ladder is 7 feet from the ground is 105 ft/sec.

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Using the completing the square method, the quadratic equation x²-5x=9 can be simplified to (x-2.5)²=15.25, and the solutions are x=2.5+√15.25 and x=2.5-√15.25.

To solve this quadratic equation using the completing the square method. Here are the steps

Move the constant term (in this case, 9) to the right-hand side of the equation

x² - 5x = 9 becomes x² - 5x - 9 = 0

To complete the square, we need to add and subtract a constant term inside the parentheses. The constant term we add is half of the coefficient of the x-term, squared. In this case, the coefficient of the x-term is -5, so we need to add and subtract (5/2)² = 6.25.

x² - 5x - 9 + 6.25 - 6.25 = 0

Rearrange the terms inside the parentheses to group the perfect square with the x-term

(x² - 5x + 6.25) - 15.25 = 0

Factor the perfect square trinomial inside the parentheses

(x - 2.5)² - 15.25 = 0

Add 15.25 to both sides of the equation

(x - 2.5)² = 15.25

Take the square root of both sides

x - 2.5 = ±√15.25

Add 2.5 to both sides

x = 2.5 ±√15.25

So the solutions to the equation x² - 5x = 9, using the completing the square method, are x = 2.5 + √15.25 and x = 2.5 - √15.25.

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--The given question is incomplete, the complete question is given

"Can anyone help? i need to solve these using the completing the square method

x²-5x = 9"--

Answer:

4x^2 + 9x + 23

Step-by-step explanation:

just factor the last equation and combine them all.

Answer:

\(\frac{2}{cos(x)}\)

Step-by-step explanation:

Key facts you will need to know to solve this

\(tan(x) = \frac{sin(x)}{cos(x)}\)

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

The equation can also simplify by cross multiplying the fraction to make:
\(\frac{cosx-sincosx}{(1+sinx)(1-sinx)} + \frac{cosx+sincosx}{(1-sinx)(1+sinx)}\)

\(\frac{cosx-sincosx}{1-sin^2(x)} + \frac{cosx+sincosx}{1-sin^2(x)}\) = \(\frac{2cos(x)}{1-sin^2(x)}\)

Using the equation \(1-sin^2= cos^2\) that we established earlier, the fraction is also:

\(\frac{2cos(x)}{cos^2(x)}\) = \(\frac{2}{cos(x)}\)

Therefore, the answer is \(\frac{2}{cos(x)}\)

The error message "x and y must have same first dimension but have shaped" typically occurs in programming languages such as Python or MATLAB when trying to operate on arrays or matrices with incompatible dimensions. In this case, the first dimension of the arrays or matrices must be the same, but they are not.

For example, if we have two arrays, x with shape (3, 4) and y with shape (2, 4), we cannot perform certain operations such as addition or multiplication between them because the first dimension, which represents the number of rows, is different.

To resolve this error, we can either reshape one of the arrays to have the same number of rows as the other, or we can transpose one of the arrays so that their dimensions match up. Another option is to adjust the code to ensure that the arrays being used have the same first dimension.

In summary, the "x and y must have the same first dimension but have shaped" error occurs when we attempt to operate on arrays or matrices with incompatible dimensions, and it can be resolved by reshaping, transposing, or adjusting the code.

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Answer:

10y-50

Step-by-step explanation:

5(8y+2y-10-8y)

+8y and -8y got cancelled with each other.

5(2y-10)

10y-50

Answer:

Step-by-step explanation:

Times everything by 5 since it is outside the () which would make your equation turn into

40y+10y-50-40y

Then, you would combined like terms so you equation would be

10y-50

And that would be your answer.

False. Span(u,v) includes linear combinations of both u and v.

The correct option is A

Now, According to the question:

When u and v are nonzero vectors, Span {u, v} contains only the line through u and the origin, and the line through v and the origin. b. Any list of five real numbers is a vector in ℝ5 .

Span(u,v) is the set of all linear combinations of u and v, meaning any combination of u and v multiplied by scalars. This includes scalar multiples of both u and v, but does not include the origin. To calculate Span(u,v), first write u and v as vectors u = (u1,u2,...,un) and v = (v1,v2,...,vn). Then, any linear combination of u and v can be written as c1u + c2v, where c1 and c2 are scalars, and the set of all such linear combinations is Span(u,v). For example, if u = (1,2) and v = (3,4), then Span(u,v) = {(1,2), (3,4), (4,6), (5,8), (7,10), ...}. In other words, Span(u,v) is the set of all scalar multiples of u and all scalar multiples of v.

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Answer:

i think the answer is A. 3 I'm not 100% sure

Step-by-step explanation:

The integral, ∫ [ (9ˣ - eˣ )/3ˣ ] dx evaluate value is 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3). So, the correct answer is option (c).

Integration is defined as the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up all their areas. If d/dx(F(x) = f(x), then ∫ f(x) dx = F(x) + C, where C is integration constant and indefinite integrals. We have an integral, say , I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

and we have to determine its value.

I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

=> I = ∫ [ (9ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3ˣ - eˣ/3ˣ ] dx

=> I = ∫ 3ˣ dx - ∫ eˣ3⁻ˣ dx

=> I = 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3) + C

( since, ∫aˣ dx = aˣ/ln a)

where C --> integration constant

So, the required value is 3ˣ/ln(3)-eˣ/3ˣ(1 - ln 3).

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Complete question:

Find integral ∫ [ (9ˣ - eˣ )/3ˣ ] dx .

a) 3ˣ - eˣ/(1 - ln 3) + C

b) 9ˣ/2ln3 - eˣ/(3ˣ ln 3) + C

c) 3ˣ/ln3 - eˣ/3ˣ(1 - ln 3) + C

d) 3ˣ/ln3 - eˣ/3ˣ + C

The concentration unit necessary for the calculation of vapor pressure lowering of a solvent is molality of solvent.

Molality (m) is defined as the number of moles of solute per kilogram of solvent. It is a more suitable concentration unit for this calculation because it keeps the temperature and pressure constant, and it accounts for the mass of the solvent rather than its volume.

The vapor pressure of a solvent is lowered when a non-volatile solute is added to it. This phenomenon is known as the Raoult's law. According to Raoult's law, the vapor pressure of the solvent is proportional to its molality (m), which is the concentration of the solvent. Therefore, to calculate the vapor pressure lowering, it is essential to know the molality of the solvent.

Other concentration units such as mass fraction of solvent, mole fraction of solvent, mole fraction of solute, and molarity of solute are not directly related to the vapor pressure lowering calculation. They may have other applications in different contexts, but for the specific calculation of vapor pressure lowering, molality of the solvent is the appropriate concentration unit.

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Answer:

916 negative 9 over 16, , ,

Answer:

49/4

Step-by-step explanation:

⇒ x2 + 7x +49/4 = 4 + 49/4

⇒ {4x2 + 28x + 49}/4 = {16 + 49} /4

⇒ {4x2 + 28x + 49} = 16 + 49

⇒ (2x + 7)2 = 65 [since a2+ 2ab + b2 = (a + b)2]

⇒ (2x + 7)2 = (√65)2

Answer:

1. C

2. E

3. D

4. B

5. A

Hope This Helps!!!

Answer:

4 -2,3 -4,2 -5,5 -1,1 -3

I hope this helps you

It may be helpful to take measurements at different points along each beach to account for any variations in erosion rates.

The erosion data measurements in the table show that Beach A experiences a higher rate of erosion than Beach B. Beach A loses approximately 5 feet of width per year while Beach B loses only 2 feet of width per year.

Based on these measurements, it can be concluded that the width of Beach A will decrease at a faster rate compared to Beach B. Therefore, the pattern shown by the erosion data measurements is that Beach A is more prone to erosion compared to Beach B.

To determine when the two beaches will have approximately the same width, we can use a simple calculation. If Beach A loses 5 feet per year and Beach B loses 2 feet per year, then the difference in width between the two beaches will decrease by 3 feet each year. Therefore, it will take approximately 10 years (30 feet divided by 3 feet per year) for the two beaches to have approximately the same width.

If these erosion rates remain constant, to get a better approximation of when the two beaches will have the same width, more measurements can be taken at regular intervals (e.g. every year). This will allow for a more accurate prediction of when the two beaches will have the same width. Additionally, it may be helpful to take measurements at different points along each beach to account for any variations in erosion rates.

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Answer:

(fog)(x)= -x^2-7x-5

Step-by-step explanation:

According to what I've learned that could be re-written as f[g(x)]

First, I would plug in the function g(x) into the function f(x)

f(x)=-x-12

 Substitute all values of x for (x^2+7x-7)

f(x^2+7x-7)= -(x^2+7x-7)-12

Now you simplify

= -x^2-7x+7-12

Combine like terms

= -x^2-7x-5

Answer:

Step-by-step explanation:

The numerical order of the used formula is almost second-order.

The numerical order of a formula refers to the rate at which the error in the approximation decreases as the step size decreases. A second-order formula has an error that decreases quadratically with the step size. In this case, we are given two approximations of \(f''(1)\) using different step sizes: 26.8943377 with \(h=0.1\) and 25.61341227 with \(h=0.05\).

To determine the numerical order, we can compare the error between these two approximations. The error can be estimated by taking the difference between the approximation and the exact value, which in this case is given as \(f''(1) = 24.46453646\).

For the approximation with \(h=0.1\), the error is \(26.8943377 - 24.46453646 = 2.42980124\), and for the approximation with \(h=0.05\), the error is \(25.61341227 - 24.46453646 = 1.14887581\).

Now, if we divide the error for the \(h=0.1\) approximation by the error for the \(h=0.05\) approximation, we get \(2.42980124/1.14887581 \approx 2.116\).

Since the ratio of the errors is close to 2, it suggests that the formula used to approximate \(f''(1)\) has a numerical order of almost second-order. Although it is not an exact match, the ratio being close to 2 indicates a pattern of quadratic convergence, which is a characteristic of second-order methods.

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Answer:

A closed circle on 3 going right.

Step-by-step explanation:

-12 ≥ -4p

/-4   /-4

3 ≤ p which also mean p ≥ 3

This will be a closed circle on 3 going right.

Hope that helps!

The required value is evaluated as 110. The correct option is (B).

The percent value can be found by multiplying the given number with the percent divide by 100.

For example, 10% of 20 is 20 × 10/100 = 2.

The given expression for percentage is found as follows,

250% of 44

= 250/100 × 44

= 2.5 × 44

= 110

It can be written as 100 < 110 < 150.

Hence, the value of the given expression is 110 which is greater than 100 but less than 150 as 110 lies between the two numbers.

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To calculate the probability of event E, which is rolling at least one 6, we can use the complement rule.

P(E) = 1 - P(E^C)

First, let's calculate P(E^C), the probability of the complement event, which is rolling no 6's in a single roll of the die. Assuming a fair 6-sided die, the probability of not rolling a 6 on a single roll is 5/6.

P(E^C) = 5/6

Now, we can calculate P(E) using the complement rule:

P(E) = 1 - P(E^C)

P(E) = 1 - 5/6

P(E) = 1/6

Therefore, the probability of rolling at least one 6 (event E) is 1/6, or approximately 0.167 (rounded to three decimal places).

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Answer:

Step-by-step explanation:

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer: See explanation

Step-by-step explanation:

3.) Boys║5║10 ║60

    Girls ║7║ 14 ║84

7 × 2 = 14

5 × 2 = 10

5 × 12 = 60

7 × 12 = 84

Hope I helped!

Answer:

The value of where a digit is in the number.

Step-by-step explanation:

The value of where a digit is in the number. Example: In 352, the 5 is in the "tens" place, so its place value is 10. Example: In 17.591, the 9 is in the "hundredths" place, so its place value is 0.01.

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When A is a 6 x 5 matrix. a should be equal to 6 and b should be equal to 5 in order to define T:  \(R^6 - > R^5 by T(x) = Ax\).

For the transformation \(T: R^a - > R^b\)to be defined by T(x) = Ax, the number of columns of A must be equal to the dimension of the input vector x, which is a. Also, the number of rows of A must be equal to the dimension of the output vector Ax, which is b. Therefore, we have:

A: \(6 \times 5\)

x: a-dimensional vector in \(R^a\)

Ax: b-dimensional vector in \(R^b\)

Since Ax is a b-dimensional vector, we must have b = 6. Also, since x is an a-dimensional vector, we must have A have a total of a entries (i.e., 5a).

Therefore, a must satisfy the equation:

5a = number of entries in \(A = 6 \times 5 = 30\)

Thus, we have a = 6 and b = 5.

Therefore, to define the transformation T: \(R^6 - > R^5 by T(x) = Ax\), we need A to be a \(6 \times 5\) matrix 30.

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