Write an equation of the line that passes through the given points (1, -6) and (1, 2).

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:

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:

1/6 because 3 is one of the sides of the 6

The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

It is a branch of mathematics that deals with the occurrence of a random event.

There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.

The total number of possible outcomes is 6, since there are six sides on the die.

Therefore, the odds against rolling a 3 are:

5:1

This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:

P(not rolling a 3) = 5/6

Alternatively, the probability of rolling a 3 is 1/6, so we can also say:

P(rolling a 3) = 1/6

And the probability of not rolling a 3 is:

P(not rolling a 3) = 1 - P(rolling a 3)

= 1 - 1/6

= 5/6

Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6

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4. EA ≅ MA

In ΔTAE and ΔTAM,

TE = TM (Given)

∠ETA = ∠MTA (Given)

TA = TA (Common)

∴ ΔTAE ≅ ΔTAM

∴ EA = MA (CPCT)

5. In ΔJUN and ΔJEN,

JU = JE (Given)

NE = NU (Given)

JN = JN (Common)

∴ ΔJUN ≅ ΔJEN (By SSS Criteria)

∴ ∠U = ∠E (CPCT)

Hope it helps you....

Please mark as brainlliest

Answer:

Step-by-step explanation:

67.5

Answer:

The rate of change will be the number of bags Fred fills for 1 customer.

Write a ratio.

21 : 3

x : 1

To solve for x, cross multiply.

3x : 21

Divide both sides by 3.

x = 7

Fred’s average rate of change is 7 bags.

:)

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

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Answer:

The answer is 20% have a great day

Answer:

40%

Step-by-step explanation:

that's what googl e said

Answer:

320,000

Step-by-step explanation:

80,000$x 4 years == 320,000$

Answer: No, they don't have enough money.

==========================================================

Explanation:

Let's find the area of the shape given. It's composed of two rectangles.

The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.

---------------------

Let x be the number of tins of polish the caretaker buys.

One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.

Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.

Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.

---------------------

Each bottle of polish costs £19

Ten of them cost 10*19 = 190 pounds. This is before the discount.

If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.

Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.

This final price is 3 more pounds than what the caretaker has, so they don't have enough money.

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

Answer:

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

Answer:

250 - [tex]\frac{p}{24}[/tex]

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on  present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

250 - [tex]\frac{p}{24}[/tex]

Hence, the required expression will be

250 - [tex]\frac{p}{24}[/tex]

(Hope this helps can I please have brainlist (crown)☺️)

Answer:

Percentage is the answer

Answer: D. The quadratic parent function.

Step-by-step explanation:

Quadratic functions have a parabola shape like the graph shown in the image.

Answer:

21 is the answer

Step-by-step explanation:

Given:

Let's use the given clue to solve the problem.

15 - 3x = Solution

=> 15 - 3(-2) = Solution

=> 15 + 6 = Solution

=> 21 = Solution

After working on this problem, we can conclude that 21 is our answer.

- [tex]GenuisUser[/tex] -

Answer:

21

Step-by-step explanation:

So, when given a question like this, we must plug in the number give for "x" in the equation.

[tex]15-3x = 15-3(-2)[/tex]

Now, we can simplify using PEMDAS

[tex]15+6 = 21[/tex]

Dont forget that a negative times a negative equals a positive!

Answer:

471 that's the answer

Step-by-step explanation:

994 - 523 =471

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! :)

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

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:

B

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

divide 3.15 by 0.07 to get 45

Answer:45

Step-by-step explanation:

divide 3.15 by 0.07 answer 45

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:

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

[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]

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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 .

Step-by-step explanation:

The polynomial with given zero's is:

Or simplified:

Answer:

haha.A. Write True if the statement is correct and False if it is not true. 1. In active voice, the subject of the sentence is doing the action, 2. In passive voice, the action is done on/upon the subject. 3. The doer of the action is followed by the verb in active voice. 4. The doer of the action is preceded by the verb in active voice, 5. The receiver of the action in active voice is preceded by the verb. 6. The receiver of the action in passive voice is followed by the verb. 7. In passive voice, meaning is clearer and more direct. 8. In active voice, meaning can be confusing and indirect, 9. The tone is authoritative and subjective in active voice, 10. The tone is neutral or objective in passive voice.

Step-by-step explanation:

srry

Answer:

A

Step-by-step explanation:

I DID THE WORK IN MY HEAD

btw im 11

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