Elli left home8:30 and returned at 1:25how long was she away from home?














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a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)

Answer:

Step-by-step explanation:

14 out of 70 given as percentage:

Lets see

Answer:

The universal physical constant c, or the speed of light in vacuum, is essential in many fields of physics. It has a precise value of 299792458 metres per second.

Step-by-step explanation:

Answer:

299 792 458 m / s

Step-by-step explanation:

In terms of sig figs, it can be 3.0 * 10^8 m/s

Answer:

In point-slope form the equation is:

[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

Hey there!

75% of ? = 30

75% of x = 30

75/100 * x = 30

75 ÷ 25 / 100 ÷ 25 * x = 30

3/4 * x = 30

MULTIPLY 4/3 to BOTH SIDES

4/3 * 3/4x = 4/3 * 30

CANCEL out: 4/3 * 3/4 because that gives you 1

KEEP: 4/3 * 30 because it helps solve for your answer

x = 4/3 * 30

SIMPLIFY IT

x = 40

Therefore, 75% of [40] = 30

Answer: 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

Answer:

$30 on CDs

$20 on Makeup

hope it helps

Step-by-step explanation:

The money spent on each product is $20 and $30 respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Given that,

The money spent by Lauren on make up and CDs is $50.

Suppose the money spent on CDs be x.

Then, the money spent on make up is  x + 10.

As per the question the following equation can be formed,

x + x + 10 = 50

=> 2x + 10 = 50

=> 2x = 40

=> x = 20

Thus, money spent on make up is 20 + 10 = 30 dollars.

Hence, the money spent on CDs and make up is $20 and $30 respectively.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

1,623 x 2,908 = 4,719,684

Answer:

4719684

Step-by-step explanation:

Tell me if you want one.

Answer & Step-by-step explanation:

A = 60 ft

C = 12

D = 1/2 of C

1/2 of 12 = 6

Part A:

e = 6ft

Part B:

It's positive because it is above sea level

Answer:

Step-by-step explanation:

gg I got the points

Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Therefore, 8 times the current population can be calculated thus :

[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]

Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Learn more : https://brainly.com/question/25411212

Answer:

32.5

Step-by-step explanation:

order the numbers) 30, 31, 32, 32, 33, 34, 36, 37

cancel the numbers from each side to the middle) 32 and 33

add the values together and divide by two) [32+33] divide by 2=65/2=32.5

Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

The team is divided into two equal groups, hence, each represents 50%.

The percentages associated with drinking at least 2 glasses of water a day is:

Hence, applying the weighed percentage, the total percentage is:

[tex]T = 0.7(0.5) + 0.75(0.5) = 0.725[/tex]

0.725 = 72.5% of the team drinks at least 2 glasses of water a day.

A similar problem is given at https://brainly.com/question/1517088

Hello!

0.85b-0.2b

0.65b

0.65b=0.65b

So these expressions are equivalent.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

On the list of facts, the second fact says "A quarter of the nuts are walnuts.".

A quarter of 956 is => 239 <= .

Answer:

8000

Step-by-step explanation:

Answer:

[tex]\huge\boxed{z=6;\ x=12.5}[/tex]

Step-by-step explanation:

If two figures are similar, then corresponding sides are in proportion.

Therefore:

[tex]\dfrac{z}{15}=\dfrac{4}{10}\qquad|\text{cross multiply}\\\\10z=(15)(4)\\\\10z=60\qquad|\text{divide both sides by 10}\\\\\boxed{z=6}[/tex]

[tex]\dfrac{x}{5}=\dfrac{10}{4}\qquad|\text{cross multiply}\\\\4x=(5)(10)\\\\4x=50\qquad|\text{divide both sides by 4}\\\\x=\dfrac{50}{4}\\\\\boxed{x=12.5}[/tex]

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

Answer:

2/3

Step-by-step explanation:

-5/3 + 2 1/3 =

= 2 1/3 - 5/3

= 2 1/3 - 1 2/3

= 1 4/3 - 1 2/3

= 2/3

Answer:

2/3

Step-by-step explanation:

First, change 2 1/3 into an improper fraction.

2 1/3 --> 7/3

Substitute that value back into the equation

-5/3 + 7/3

At this point, you can rewrite the equation into:

7/3 - 5/3

Since they have the same denominator, just subtract the numerator's values.

2/3

Answer:

250 girls

Step-by-step explanation:

Add the ratio together (2+5=7), then do 350÷7=50

50 is one part of the ratio so to find how many girls, you would do 50x5=250

9514 1404 393

Answer:

  55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

  180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

  11×5° = 55°

  14×5° = 70°

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

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

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good

Answer:

12

Step-by-step explanation:

there are 12 3/4 on 11/4

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}[/tex]

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

Answer:

remainder = 21

Step-by-step explanation:

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) is divided by (x - 2) with h = 2 , then remainder is

f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21

Answer:

B

Step-by-step explanation:

HOPE IT HELPS <3

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anwers: is 15 because I did 30 percent of 50

Answer:

c r/ 3/5

Step-by-step explanation:

i think

Answer:

Step-by-step explanation:

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