-2 1/2 x (-1 2/3) what is the answer for this question

Answers

Answer 1

Answer:

Answer: 4 1/6

Step-by-step explanation:

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Find the limit, if it exists. (if an answer does not exist, enter dne.) lim x → ∞ x4 x8 + 2

Answers

lim x → ∞ x^4 x^8 + 2

Combine exponents:

lim x → ∞ x^(4 +8) + 2

lim x → ∞ x^12 + 2

The limit at infinity of a polynomial, when the leading coefficient is positive is infinity.

The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is ___cm and the width of the rectangle is ___cm.

Answers

width of the rectangle = b = x

length of the rectangle = l = 8 + 2x

Perimeter of the rectangle = 70cm

Also, perimeter of the rectangle = 2(l + b)

70 = 2[x + (8 + 2x)]

70 = 2(x + 8 + 2x)

70 = 2(3x + 8)

70 = 6x + 16

70 - 16 = 6x

54 = 6x

54/6 = x

9 = x

Therefore, b = x

b = 9cm

l = 8 + 2x

I = 8 + 2×9

I = 8 + 18

I = 26cm

The solution to 4.2x = 19.32 is x = ___. 0.28 0.45 4.6 15.12

Answers

the solution to this equation is x=4.6 because 19.32/4.2=4.6

i agree with Flibety's answer: " the solution to this equation is x=4.6 because 19.32/4.2=4.6 "

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq 3: 2x+4y-3z=30

Multiply Eq 1 by 2 and then add to Eq 3

Eq1: (-x+2y-z=20 ) × 2

Eq2: z= 45

Eq3: 2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

Eq2: z= 45

Eq3: 8y-5z= 70

swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3: 8y-5z= 70

Eq 2: z= 45

Solve Eq 2 for z

Z=45

solve Eq Eq 3 for y.

y= 295/8

Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

Find the first partial derivatives of the function. f(x, t) = e−9t cos(πx)

Answers

Answer:

$f_(x)(x,t) = -\pi e^(-9t) sin((\pi x))$

$f_(t)(x,t) = -9cos((\pi x)) e^(-9t)$

Step-by-step explanation:

We are given the following function:

$f(x,t) = e^(-9t) cos((\pi x))$

First derivatives:

We find the first derivatives in function of x and of t.

Function of x:

The exponential is only a function of t, so it is treated as a constant.

$f_(x)(x,t) = e^(-9t) \frac{d}{dx](cos((\pi x))) = -e^(-9t) sin((\pi x)) (d)/(dx)(\pi x) = -\pi e^(-9t) sin((\pi x))$

Function of t:

Same logic as above, the cosine as treated as a constant.

$f_(t)(x,t) = cos((\pi x)) (d)/(dt)(e^(-9t)) = cos((\pi x)) e^(-9t) (d)/(dt)(-9t) = -9cos((\pi x)) e^(-9t)$

Final answer:

To find the first partial derivatives of the function e^(-9t) cos(πx), we differentiate the function with respect to x and t separately, treating the other variable as a constant. The partial derivative with respect to x is 9t sin(πx), while the partial derivative with respect to t is -e^(-9t) cos(πx).

Explanation:

To find the first partial derivatives of the function, we will differentiate the function with respect to each variable separately while treating the other variable as a constant.

For the partial derivative with respect to x, we can treat t as a constant. Differentiating e-9t cos(πx) with respect to x gives us -9t * (-sin(πx)) = 9t sin(πx).

For the partial derivative with respect to t, we can treat x as a constant. Differentiating e-9t cos(πx) with respect to t gives us -(e-9t) * cos(πx) = -e-9t cos(πx).

Learn more about partial derivatives here:

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What is the total cost of a 12.50 item plus 6% sales tax?

Answers

So firstly, we have to determine what 6% of $12.50 is. You can do this by multiplying 12.50 and 6% (or 0.06 in decimal form) to get 0.75, or 75 cents. 75 cents is your 6% sales tax.

Next, add up 12.50 and 0.75 to get $13.25. $13.25 is the total cost of the item.

Answer:

13.25

Step-by-step explanation:

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