is y=-x+11 a function

Step-by-step explanation:

cost of business card - $.75 ( per card )

I want to print 50

So we will multiply 75 × 50

75

×50

00

355×

=375

$.375 will be the cost of the same

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

The formula for integral ∫ xⁿeˣdx in terms of xⁿeˣ and n ∫ xⁿ⁻¹eˣdx is ∫ xⁿeˣdx = xⁿeˣ - n ∫ xⁿ⁻¹eˣdx

This formula uses integration by parts, where u = xⁿ and dv/dx = eˣdx. By applying the product rule, we get du/dx = nxⁿ⁻¹ and v = eˣ.

Using this formula, we can simplify the integration process for functions with the form xⁿeˣ. Instead of having to integrate the entire function, we can break it down into smaller parts that are easier to integrate. This can save time and make the integration process more manageable.

Overall, this formula is a useful tool for solving integrals involving xⁿeˣ functions. By breaking down the function into simpler parts, we can solve the integral more easily and efficiently.

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7 is 1/10 of 70. You can figure this out by multiplying 7 by 10

Answer:

Samir must sell 6 horses in order to break even.

The number of horses that Samir must sell in order to break even is 6 horses.

Given:

To find breakeven, we must remember that the revenue and cost are equal.

Therefore, we create a function and use this to solve:

125x= 300  + 75x

125x-75x = 300

50x = 300

x= 6

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The total cost to put tile in bathroom and carpet in bedroom and living room as the calculated area is equal to $640 and $1535.94.

As given in the question ,

Scale measure of blue print = 1/4 inch

1 inch = 4 ft

Area wise = 4 × 4

                 = 16 square feet

Dimensions of bathroom are:

length = 4 squares

           = 4 × 4

           = 16ft

and width = 2squares

                 = 8ft

Area of bathroom = (16 × 8)

                             = 128 square feet

Cost of ceramic tile is $5 per square foot

Cost to put tiles in a bathroom = 128 × 5

                                                   = $640

Area of bedroom = ( 5×4) ×(4×4)

                             = 320 square foot

Area of living room = ( 7×4) ×(4×4)

                                = 448 square foot

Total area of (bedroom and living room) = 768 square feet

                                                                   = 85.33 square yards

Cost of a carpet is $18 per square yard

Total cost to use carpet for bedroom and living room

= ( 85.33) × 18

= $1535.94

Therefore, the cost to tile a bathroom as per calculated area is $640 and  similarly cost to put carpet in bedroom and living room is $1535.94.

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Answer:

810 g flour

6 teaspoon (tsp) baking powder

12 tablespoons (tbsps) sugar

780 ml milk

6 egg

12 tablespoons (tbsps) oil

Step-by-step explanation:

24/4=6, so you need to multiply everything by six

To find the Gram matrix of a bilinear form with respect to the standard basis, we need to compute the matrix that represents the bilinear form. A bilinear form is a function that takes two vectors as input and returns a scalar value, and it is linear in each of its arguments.

In this case, you haven't provided the specific bilinear form you'd like to compute the Gram matrix for. However, I can explain the general steps to find it:

1. Define the bilinear form, say B(u, v), where u and v are vectors from a vector space.
2. Choose the standard basis for the vector space, e.g., {e1, e2, ..., en}.
3. Compute the matrix elements using the bilinear form and the standard basis vectors: Gij = B(ei, ej), where Gij is the element in the ith row and jth column of the Gram matrix.
4. Form the matrix G using the computed elements Gij.

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The probability of being dealt 1 diamonds, 1 clubs, 1 hearts, and 2 spade is approximately 0.065936 .

There are several steps involved in calculating the probability of being dealt a specific hand of 5 cards from a standard 52 card deck. We can use the formula for the probability of a combination:

P(combination) = (number of ways to get the combination) / (total number of possible hands)

In this case, we want to find the probability of being dealt 1 diamonds, 1 clubs, 1 hearts, and 2 spade.

Number of ways to get this combination:

Choose 1 diamonds out of 13: C(13,1) = 13

Choose 1 clubs out of 13: C(13,1) = 13

Choose 1 hearts out of 13: C(13,1) = 13

Choose 2 spade out of 13: C(13,2) = 78

Total number of possible hands:

Choose 5 cards out of 52: C(52,5) = 2598960

Putting it all together:

P(1 diamonds, 1 clubs, 1 hearts, 2 spade) = (13 * 13 * 13 * 78) / 2598960

= 0.065936

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

13/100, or 0.13%.

Step-by-step explanation:

You have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. You flip it three times and these flips are independent. What is the probability that it lands heads up all three times, 0.13.

Answer:

Step-by-step explanation:a or b ?

Answer:

The rational zeros of the polynomial function f(x) = x^3 + 2x^2 - 13x + 10 are x = -1, x = 1, and x = 10/3.

Explanation:

To find the rational zeros of the polynomial function f(x) = x^3 + 2x^2 - 13x + 10, we can use the rational zero theorem, which states that if p/q is a rational zero of a polynomial function f(x) with integer coefficients, then p is a factor of the constant term of f(x) (in this case, 10) and q is a factor of the leading coefficient (in this case, 1).

We can then use this information to create a list of potential rational zeros by listing out the factors of 10 (which are -1, 1, -2, 2, -5, 5, and -10) and dividing them by the factors of 1 (which are -1 and 1). This gives us the following list of potential rational zeros: -1, 1, -2, 2, -5, 5, and -10.

To determine which of these values are actually zeros of the polynomial function, we can substitute each value into the function and see if it makes the function equal to 0. We find that x = -1, x = 1, and x = 10/3 are zeros of the function, but the other values are not.

We can then use these zeros to factor the polynomial function:

f(x) = (x + 1)(x - 1)(x - 10/3)

This is the factored form of the polynomial function.

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Answer:

y = (x - 4)(x + 2)

Step-by-step explanation:

Quadratic Formula:

Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.

Answer:

\(y= (x-4)(x+2)\)

Step-by-step explanation:

To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.

Answer:yes!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

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Answer:

a 84, I may be wrong, sorry if I am.

Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.

Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.

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Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

Answer:

Cos x = \(\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}\)

Tan x = \(\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }\)

Step-by-step explanation:

Sin x = \(\frac{perpendicular}{hypotenuse} = \frac{1}{2}\)

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

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

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

base ² = 4-1

base² = 3

Taking square root on both sides

Base = \(\sqrt{3}\)

Now

Cos x = \(\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}\)

Tan x = \(\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }\)

Answer:

  11.95 in

Step-by-step explanation:

We can find the slant height of a square-based pyramid by solving the area formula for the unknown value.

__

The formula for the area of a square-based pyramid can be written ...

  A = s(s +2h)

where s is the side of the square base, and h is the slant height.

Filling in the given values, we can solve for h:

  111.6 = 4(4 +2h)

  27.9 = 4 +2h . . . . . divide by 4

  13.95 = 2 +h . . . . . divide by 2

  11.95 = h . . . . . . . . subtract 2

The slant height of the figure is 11.95 inches.

Zero divided by any real number is equal to zero.

The solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

To solve the system of differential equations, we can use matrix exponential. The system can be written in matrix form as follows:

X' = AX, where X = [x y], A = [22 60; -6 -16]

The matrix exponential of A can be calculated as follows:

\(e^{(At)}\) = I + At + \(\frac{(At)^{2}}{2!}\) + \(\frac{(At)^{3}}{3!}\) + ...

where I is the identity matrix and t is the variable of integration.

We can substitute A and t = 1 into the formula to get:

\(e^{A}\)= I + A + \(\frac{(A)^{2}}{2!}\) + \(\frac{(A)^{3}}{3!}\)+ ...

= [1 0; 0 1] + [22 60; -6 -16] + [44 192; -36 -104]/2! + [ -256 -768; 96 272]/3! + ...

= [1 + 22 + \(\frac{44}{2!}\) - \(\frac{256}{3!}\)*60 + \(\frac{192}{2!}\) - \(\frac{768}{3!}\);

-6 + \(\frac{(-6)}{2!}\) + \(\frac{96}{3!}\) - 16 + \(\frac{(-104)}{2!}\)+ \(\frac{272}{3!}\)]

= [\(\frac{29}{3}\) \(\frac{102}{3}\);

\(\frac{-13}{3}\)  \(\frac{-4}{3}\) ]

Now we can use the initial conditions to find the constants of integration. We have:

X(0) = [x(0) y(0)] = [5 3]

So,

[\(e^{A}\)] [\(c_{1}\)] = [5]

[\(c_{2}\)] [3]

Multiplying both sides by the inverse of \(e^{A}\), we get:

[\(c_{1}\)] = [29/3 102/3]^(-1) [5]

[\(c_{2}\)] [-13/3 -4/3] [3]

Solving this system of linear equations, we get:

\(c_{1}\) = -4/3

\(c_{2}\) = 2/3

Therefore, the solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) \(e^{\frac{22t}{3} }\) - (4/3) \(e^{\frac{-16t}{3} }\)

y(t) = (-13/3) \(e^{\frac{22t}{3} }\) + (2/3) \(e^{\frac{-16t}{3} }\)

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Answer:

28.25

Step-by-step explanation:

Previously available balance = $320.39

Deposit made by Mrs. Hammonds = $100

Cheques used for withdrawal,

$97.54

$48.27

The new balance = $320.39 + $100 - $97.54 - $48.27

= 420.39 - 145.81

= 274.58

So, the new balance in her account is $274.58.

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Answer:

76.

Step-by-step explanation:

It is given that N is a 2-digit number.

Last two digits of N^2 is the same as N.

We know that, a number is even if it ends with 0,2,4,6,8.

\(2^2=4,4^2=16,6^2=36,8^2=64\)

If 0 is in end then we get two zeros in the square of that number.

It is clear that, number should ends with 6 to get the same number at the end.

\(16^2=256\)

\(26^2=676\)

\(36^2=1296\)

\(46^2=2116\)

\(56^2=3136\)

\(66^2=4356\)

\(76^2=5776\)

\(86^2=7396\)

\(96^2=9216\)

It is clear that last two digits of (76)^2 is the same as 76.

Therefore, the required number is 76.

Answer:

w = 5

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

A triangle always have to finish with 180 degrees so

47+96=143

180-143=37

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