Which equation translates to the sentence "the sum of fifty-three and x, minus ten, is y."
a. 53 y ��� 10 = x
b. 53y x = 10
c. 53x ��� y = 10
d. 53 x ��� 10 = y?

Answer:n

Step-by-step explanation:

To find the flux of the vector field F across the boundary of the described cylindrical region, the surface integral must be computed with outward normals, parameterizing each surface portion, setting appropriate bounds, and summing all contributions.

The student has asked to evaluate the surface integral (flux) of the vector field F(x, y, z) = x i + y j + 7 k across the boundary of a cylindrical region defined by x2 + z2 = 1 and the planes y = 0 and x + y = 6. To solve this problem, we first define a consistent outward orientation for the surface normals.

It is important to carefully determine the components of the vector field that contribute to the flux through the various portions of the boundary surface - the curved cylindrical surface, the bottom plane at y = 0, and the slanted plane at x + y = 6.

We compute the surface integral by parameterizing each portion of the surface, setting up and evaluating the integrals for each, and summing these contributions.

This involves finding the antiderivatives with respect to both dimensions defining the surface area, considering the appropriate bounds derived from the region described.

To evaluate the surface integral of the given vector field F across the oriented surface S, parameterize the surface S as a combination of two surfaces and evaluate the surface integral of F · dS for each surface separately. Then, calculate the total flux of F across the surface S.

To evaluate the surface integral of the given vector field F across the oriented surface S, we need to find the flux of F across S. The vector field F is given as F(x, y, z) = x i + y j + 7 k. The surface S is the boundary of the region enclosed by the cylinder x^2 + z^2 = 1 and the planes y = 0 and x + y = 6.

To evaluate the surface integral, we can use the formula Φ = ∫∫ F · dS, where F is the vector field, dS is the area element, and the integral is taken over the surface S. In this case, the surface S is the boundary of the region enclosed by the cylinder and the planes. We can parameterize the surface S and then use the formula to evaluate the integral.

By parameterizing the surface S as a combination of two surfaces, we can evaluate the surface integral of F · dS for each surface separately. The total flux of F across the surface S is the sum of the fluxes across the two surfaces. Using the formula and the parameterization, we can calculate the flux of F across the surface S.

The complete question is:content loaded

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + y j + 7 k S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 6 is:

375.00

Good luck on your quiz

Answer:the answer is ($80)

Step-by-step explanation:i took the test on k12 online school

plz give me bianleast it helps oh lot thank you

Answer: 0.25 or 25%

Explanation:

1) The first stock will double its value ⇒ new value = $1,000 × 2 = $2000

2) The second stock wil dropt to half ⇒ new value = $ 1,000 / 2 = $500

3) Total value of the investments after the change of the values: $2,500 + $ 500 = $ 2,500.

4) Return on investment = benefit / investment

5) benefit = new value - investment = $2,500 - $2000 = $ 500

6) Return on investment = $500 / $2,000 = 0.25

Which you can also represent in percent form: 0.25 = 25%.

Answer:

the nearest value of the mass is 3.27 grams

it s near 3.25

answer is c

The population of bacteria in 3 days will be approximately 44,503 bacteria.

To calculate the future population of bacteria, we can use the formula P = P0(1+r)t, where P0 is the initial population, r is the growth rate, and t is the time in days. In this case, P0 is 29,000 bacteria, r is 15% or 0.15, and t is 3 days. Plugging in these values, we get:

P = 29000(1+0.15)3

Calculating this expression, we find that P is approximately 44,503 bacteria

Final answer:

The population of bacteria will be approximately 44,076 in 3 days, given an initial population of 29,000 and a growth rate of 15% per day.

Explanation:

To calculate the population of bacteria in 3 days, we need to use the formula:

P = P0 * (1 + r)^t

Where P is the final population, P0 is the initial population, r is the growth rate per day (expressed as a decimal), and t is the time in days.

In this case, the initial population is 29,000 and the growth rate is 15% per day (0.15). Plugging these values into the formula, we get:

P = 29,000 * (1 + 0.15)³

Simplifying the equation gives:

P = 29,000 * 1.15³

P = 29,000 * 1.520875

P ≈ 44,076

Therefore, there will be approximately 44,076 bacteria in 3 days.

The system of equations given is y=-3x+12 and y=-6x+2. Comparing their slopes and y-intercepts, the slopes are different and the y-intercepts are different too. Hence, the system is consistent.

The system of equations given is y=-3x+12 and y=-6x+2. To determine whether these equations are inconsistent, consistent, or consistently coincident, we must compare their slopes and y-intercepts. If the slopes are the same (-3 and -6 are not similar) and the y-intercepts are different (12 and 2 are not equal), then the system is inconsistent. If the slopes and the y-intercepts are identical, then the system is consistent and coincident. Otherwise, if the slopes are different, which is the case in this scenario, the system is consistent.

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To multiply complex numbers, use the distributive property and combine like terms.

To multiply (2 - 7i)(9 + 5i), you can use the distributive property. Multiply the first terms, then multiply the outer terms, the inner terms, and finally the last terms. Then combine the like terms and simplify.

(2 - 7i)(9 + 5i) = 2 * 9 + 2 * 5i - 7i * 9 - 7i * 5i

= 18 + 10i - 63i - 35i²

= 18 + 10i - 63i + 35

= 53 - 53i

So, (2 - 7i)(9 + 5i) = 53 - 53i

By solving a system of equations, we will see that the function is continuous for all values of x if:

Here we have the piecewise function:

f(x) = -7            if x ≤  -3

f(x) = a*x- b     if -3 < x < 1

f(x) = 3             if  1 ≤ x

The piecewise function will be continuous only if the values at the limits where we have jumps (at x = -3 and x = 1) are the same in both pieces of the function.

This means that we must have:

f(-3) = -7 = a*(-3) - b

f(1) =  3 = a*1 - b

Then we have a system of equations:

-7 = -3a - b

3 = a - b

To solve this, first, we isolate one of the variables in one of the equations, I will isolate b in the second one to get:

b = a - 3

Now we can replace that in the other equation to get:

-7 = -3a - (a - 3)

Now we can solve this for a.

-7 = -4a + 3

-7 -3 = -4a

-10/-4 = a = 2.5

Then the value of a must be 2.5, to get the value of b we use:

b = a - 3 = 2.5 - 3 = -0.5

So the solution is a = 2.5, b = -0.5.

If you want to learn more about systems of equations, you can read:

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Answer: Composite

Step-by-step explanation: To see if 35 is a prime number or a composite number, let's first start by finding the factors of 35.

To find the factors of 35, begin by dividing 35 by 1 which gives us 35. This means that 1 and 35 are factors.

Next, since 35 is not divisible by 2, 3, or 4, we divided 35 by 5 which gives us 7. This means that 5 and 7 are factors.

Next, since 35 is not divisible by 6, we divide 35 by 7 which gives us 5. Notice that 7 and 5 are repeat factors and once we hit repeat factors, this means that all other factors we try will repeat.

Therefore, the factors of 35 are 1, 5, 7, and 35.

Since 35 has more than two factors, it's called a composite number.

The answer is Hexagon

The correct answer is B. Hexagon

Explanation:

In geometry, a polygon refers to a figure with three or more sides and therefore at least three angles, this includes triangles, pentagons, octagons, etc. Additionally, polygons can include irregular or regular sides and angles.

In the case of hexagons, if a hexagon is regular, this includes six sides of the same length and six angles with the same measure. Moreover, each of the angles is120° considering the total of internal angles in a hexagon is always 720° and therefore 720° divided into six equal angles is equal to 120°.

Therefore, if an interior angle of a regular polygon (figure with equal sides and angles) has a measure of 120° the polygon is a hexagon because the only polygon that can have multiple sides and angles each with 120° and form a regular polygon is the hexagon.

Answer:

D

Step-by-step explanation:

kilo is faster than meters