A line has a slope of 5 and passes through the point (1,5). What is its equation in
slope-intercept form?

I assume the integral is supposed to be

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz[/tex]

Parameterize C by

[tex](x(t),y(t),z(t)) = (1-t)(1,0,0) + t(5,1,2) = (1+4t, t, 2t)[/tex]

with 0 ≤ t ≤ 1, and dx = 4 dt, dy = dt, and dz = 2 dt. Then the line integral is

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1 (2t)^2(4\,dt) + (1+4t)^2\,dt + t^2(2\,dt)[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1(1+8t+34t^2)\,dt[/tex]

[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = 1+4+\frac{34}3 = \boxed{\frac{49}3}[/tex]

Answer:

The x-intercept is a point on the x-axis where the line crosses the x-axis and you can easily find it at point (-7, 0) because the line crosses the x-axis there.

Similarly, the y-intercept is a point on the y-axis where the line crosses the y-axis and you can easily find it at point (0, 2) because the line crosses the y-axis there.

Answer:

X=8

Step-by-step explanation:

8+16=24

and 3(8)=24

Answer:

x = 3

y = 0

z = 8

Step-by-step explanation:

a) 3x + 3y - z = 1

b) z = 8

c) -x -3y + 2z = 13

a) 3x + 3y - 8 = 1 (substitution)

a) 3x + 3y = 9

c) - x - 3y + 2(8) = 13 (substitution)

c) -x - 3y + 16 = 13

c) -x - 3y = -3

(3x + 3y = 9) + (-x -3y = -3)

= 2x = 6

x = 3

a) 3(3) + 3y - 8 = 1

9 + 3y - 8 = 1

y = (1 -9 + 8)/3

y = 0

See the documentation for the Limit symbol for more info.

i. Limit[(t^3 + 3t^2 - 12t + 4)/(t^3 - 4t), t -> 2]

ii. For a one-sided limit, is the Direction option.

Limit[(y + 6)/(y^2 - 36), y -> 6, Direction -> -1]

The option value -1 essentially means we treat y as if it's greater than 6, so its value has to decrease in order to approach 6.

Answer:

the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".

Step-by-step explanation:

n(P) is the Cardinality of the set P. Its formula is 2^k.

where k = number of elements in the set.

Hope this helps :)

Answer:

150 cm square

Hope this helps!

Answer:

Step-by-step explanation:

If square is split into two from diagonal then it forms two right angled triangles which are congruent.

Therefore we can use Pythagoras theorem as we know side

d^2=6^2+6^2

d=√72

d=6√2

d=8.485 inches

Method 2:

Using formula

d=s√2

d=6√2

d=8.485 inches

You can find length of diagonal of any square if you know the length of side using formula.

d=s√2

Where s is length of side

Answer:

Arithmetic, common difference is -11

Step-by-step explanation:

19, 8, -3, -14

common difference = d = 8 - 19 = -11

-3 - 8 = -11

-14 - (-3) = -11

Arithmetic, common difference is -11

9514 1404 393

Answer:

  31°

Step-by-step explanation:

One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.

  (8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )

The numerator is 50 +30i, which has an angle of ...

  arctan(30/50) ≈ 30.96° ≈ 31°

_____

Additional comment

Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.

  u·v = |u|×|v|×cos(θ)

  θ = arccos(u·v/(|u|×|v|))

  θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)

Step-by-step explanation:

srry

Answer:

A

Step-by-step explanation:

I DID THE WORK IN MY HEAD

btw im 11

Answer:

191

Step-by-step explanation:

All you have to do is 127+64 to get the total before the withdrawal.

Answer:

The answer is 20% have a great day

Answer:

40%

Step-by-step explanation:

that's what googl e said

Answer:

29.85

Step-by-step explanation:

1 month = 9.95

2 months = 19.9

3 months= 29.85

It shows the progression through three months and how much it was starting off from one month.

Answer: $29.85

per day it charges $9.95

she has the subscription for three months

we will then multiply the amount charged per month

$9.95 x 3 = $29.85

I hope this helps! :)

Answer:

11  1/10

Step-by-step explanation:

11 is a whole nuber so then 1 over 10

Answer:

It is 11 1/10!

Step-by-step explanation:

I know this because the first thing to do here is to show you that any number can be a fraction if you use a 1 as the denominator. What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 10. To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea! In our case 10 is 2 digits long so we need to multiply the numerator and denominator by 100. Now we just need to do that multiplication to get our whole fraction! The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:

In the case of 1110/10 and 100/10, the greatest common divisor is 10. This means that to simplify the fraction we can divide by the numerator and the denominator by 10 and we get 111/10. And there you have it! In just a few short steps we have figured out what 11.10 is as a fraction. 11 1/10!

Answer:

How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.

Step-by-step explanation:

Answer:

just figure it out or just search it somewhere on the brainly app for the answer :)

52 square metres

Step-by-step explanation:

we can divide the pathway in to 2 parts to find the area

1st part

length = 12m

breadth = 2m

[tex]area = 12 \times 2 = {24}^{2}m [/tex]

2nd part

length = 16-2 = 14

breadth = 2

area =

[tex]area = 14 \times 2 = {28}^{2} m[/tex]

atlast add both areas

52 square metres

Answer:

Step-by-step explanation:

find the area of ​​the horizontal rectangle, add it to the vertical rectangle and remove the common part

2 * 16 + 2 * 12  - 2 * 2 =

52m²

Answer:

12911717736

Step-by-step explanation:

"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.

Therefore, the answer is 12911717736.

Answer:

12911717736

Step-by-step explanation:

You're basically multiplying 2346 by itself 3 times which is why you get 12911717736

[tex]135\leq 10r +15\\\\\implies 120 \leq 10r\\\\\implies 12 \leq r \\\\\implies r \geq 12 \\\\\text{Interval,}~~ [12,\infty)[/tex]

[tex] \Large{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

We are given a linear equation, and we would like to express it in slope-intercept form.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]

Where:

[tex] \\ [/tex]

Given linear equation:

[tex] \sf 4y - 4x = -28 [/tex]

[tex] \\ [/tex]

To find the slope-intercept form of the equation, we have to solve for y.

First, add 4x to both sides of the equation:

[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]

[tex] \\ [/tex]

Then, divide both sides of the equation by 4:

[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope-intercept form here:

↣https://brainly.com/question/26163957

First , Add 4x to both sides :

➱ [tex]\sf{4y-4x=-28}[/tex]

➱ [tex]\sf{4y=-28+4x}[/tex]

Next , Divide all terms by 4 to get y all alone

➱ [tex]\sf{y=-7+x}[/tex]

Rearrange so that our result matches the format for slope - intercept :

➱[tex]\sf{y = x +7}[/tex]

Henceforth, Equation : y = x + 7 .

Answer:

When a complex number z is written in its polar form,z = r(cos theta + i sin theta), the nonnegative number r is called the magnitude, or modulus, of z.

In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger as or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer:

Step-by-step explanation:

67.5

Answer:

What is f?

Step-by-step explanation:

16%

Step-by-step explanation:

Percent can by calculated by part divided by whole multiplied by one hundred so (448/2800)*100=16