Differentiate f(x)=(x+4)^3(x-3)^6.

Answer:

Step-by-step explanation:

[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]

[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]

= -1 (Ans)

[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]

Since,

[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]

Hence,

[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]

[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]

[tex] = - \frac{2}{3} (ans)[/tex]

[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]

[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]

= 10 - 2 × 3

= 10 - 6

= 4 (Ans)

[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]

[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]

[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]

= 70 - 64

= 6 (Ans)

Answer:

80 and 20

Step-by-step explanation:

Let the 1st no. be 'x'.

2nd no. should be 'x + 60'.

If the larger no.(x + 60) is divided by the smaller number(x), the quotient is 4.

=> (x + 60)/x = 4

=> x + 60 = 4x

=> 60=4x-x

=> 60=3x

=> 60/3 = x

=> 20 = x

No. are x = 20 and x+60 = 20+60= 80

Answer:

4

Step-by-step explanation:

ty

hav meme

Answer:

2 + 2 = 4

Step-by-step explanation:

Can I get brainliest mademoiselle?

Answer:

x=1

Step-by-step explanation:

2+1+1+1+4=9

2+x+x+x+4=9

=> 3x + 6 = 9

=> 3x = 9-6

=> 3x = 3

=> x = 3/3

=> x = 1

Answer:

This is very similar to what we are proving if you just change the angles.

Answer:

45

Step-by-step explanation: 180- 135

Answer:

<L = 45

<N = 135

Step-by-step explanation:

<L + 135 = 180

<L = 180 - 135

<L = 45

<N = 135 because of vertical angles

Answer:

Step-by-step explanation:

The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.

As per the given question, the given data  as:

A = 63

B = 56

C = 61 (because these angles should add up to 180)

c = 1/2

We know that the Sine Rule,

sin 63 / a = sin 61 / .5

a = 0.51 miles

sin 56 / b = sin 61 / .5

b = 0.47 miles

Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ2

Answer:

D. 22 2/3 square yards

Step-by-step explanation:

To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.

Hope this helps!

-Luna

Answer: HOW AM I SUPPOSED TO KNOW?!

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the submarine is below water so that's considered a negative and the number in  the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.

Answer:

how many teams are there?

Step-by-step explanation:

Answer:

P = 10x + 2

Step-by-step explanation:

Formula to find perimeter:

P = 2(l + w)

P = 2(4x + 1 + x)

P = 2(5x + 1)

P = 10x + 2

Answer:

hindi ko alam yan wala akong pakialam

Step-by-step explanation:

tanga tanga

Answer:

c

Step-by-step explanation:

cccccccccccc

Answer:

x are 42 and 138degees

Step-by-step explanation:

Given the expression  sin x = 0.6691

sin x = 0.6691

Take the sin inverse of both sides

sin⁻¹(sin x) =  sin⁻¹(0.6691 )

x = sin⁻¹(0.6691 )

x = 41.99

x = 42 degrees (to the nearest degree)

Since sin theta is positive in the second quadrant;

x = 180 -theta

x = 180 - 42

x = 138degrees

Hence the value of x are 42 and 138degees

Answer:

9x9x9

Step-by-step explanation:

Answer: C. 64 ft

Step-by-step explanation:

Answer:

y = x + 5

Step-by-step explanation:

The output (y) is five more than the input (x)

and this is expressed symbolically as

y = x + 5

Answer:

5(x-4) or 5(x-4)

Step-by-step explanation:

(not 100% sure though)

[tex]five \: times \: the \: difference \: of \: x [/tex]

[tex]and \: 4 \: represents \: 5(x - 4)[/tex]

Answer:

the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.

Thus, the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Since they do not replace it the total amount of marbles are the same

Answer:

Its inside the circle

Step-by-step explanation:

Thats the answer on khan (RIP me i searched this up to get the answer and got it wrong to answer the right answer...)

Answer: Inside the circle

Step-by-step explanation: Khan Academy

Answer:

3/4[tex]\pi[/tex] x 180/[tex]\pi[/tex]= 135°

Step-by-step explanation:

Answer:

The height is 45 m

Step-by-step explanation:

The volume of a triangular prism is V = (1/3)(area of base)(height)

If the voume is 240 m^3 and the area of the base 16 m^2, then the height of the prism is determined as follows:

3V = (area of base)(height)

Dividing both sides by (area of the base), we get:

                   3(240m^3)

height = ------------------------- = 45 m

                       16 m^2

Answer:

4 people per car

Step-by-step explanation:

To find the unit rate we would have to do

20/5=4

Answer:

The answer would be P(x) = 1573*(1.02)^x