Please help me with all, I will mark brainliest as long as u tell me how u got those answers

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

Answer:

x = 18

y = 54°

Step-by-step explanation:

m<MON = 90° (given)

m<MOA = 72° (given)

m<AON + m<MOA = m<MON (Angle Addition Postulate)

m<AON + 72° = 90° (Substitution)

Subtract 72° from each side

m<AON = 90° - 72°

m<AON = 18°

m<AOD = 18° + 2x

m<BOC = 3x

m<AOD = m<BOC (vertical angles)

18 + 2x = 3x (Substitution)

Subtract 2x from each side

18 = 3x - 2x

18 = x

x = 18.

72° + y + 3x = 180° (angles on a straight line)

Plug in the value of x

72 + y + 3(18) = 180

72 + y + 54 = 180

126 + y = 180

Subtract 126 from both sides

y = 54

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

Step 2

Find x using another function, sin

Answer:

4

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

Answer:

13

Step-by-step explanation:

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

Answer:1/64

Step-by-step explanation: I got it right

Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given is a pattern, which is the powers of 2.

The first term is 2⁻¹ = 1/2

The second term is 2⁻² = 1/ 2² = 1/4

The third term is 2⁻³ = 1 / 2³ = 1/8

The fourth term is 2⁻⁴ =  1 / 2⁴ = 1/16

The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32

The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64

So the value of a is 1/64.

Hence the value of a is 1/64.

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https://brainly.com/question/30066987

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Answer:

lol

Step-by-step explanation:

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

Answer:

1/5

Step-by-step explanation:

[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]

Answer: 1/5

Step-by-step explanation: Following our hint,

let's start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have m = 2 - 1 / 3 - (-2) or 1 / 5.

So our slope is 1/5.

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

Answer:

40

Step-by-step explanation:

Answer:

The depth of the Ocean Floor is -780 kilometers

Step-by-step explanation:

The answer is -780 because -15 multiplied by 52 equals -780.

Answer:

The slope is 3/2

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

Answer:

(1.5,-1.5)

Step-by-step explanation:

Hope this helps you

Answer:

theres no image

Step-by-step explanation:

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Answer:

two sevenths

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:

0.5x=3

x=3/0.5 = 6

Answer:

x=6

Step-by-step explanation:

0.5x÷0.5=3÷0.5

x=3÷0.5

x=6

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen