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3 years ago

Differentiate f(x) = (2x + 5)^6 with respect to x

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Step-by-step explanation:

d/dx [f(x)]

= d/dx [(2x + 5)⁶]

= 6(2x + 5)⁵ * d/dx (2x + 5)

= 12(2x + 5)⁵.

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6 0

3 years ago

Shining Star Preschool purchased a van for $38,000. Suppose MACRS allows vans to be depreciated fully in 6 years according to si

musickatia [10]

Answer:

The book value for the van at the end of first year will be $30400

Step-by-step explanation:

Cost of van = $38,000

Amount of depreciation after one year = 20%

Finding 20% of 38,000

=38,000 *(20/100)

= 7600

so, amount of van after 1 year = 38,000 - 7600

= 30400

So, the book value for the van at the end of first year will be $30400

3 0

3 years ago

ann sells bracelets for $4 each and necklaces for $8 each. which inequality shows x, the number of bracelets, and y , the number

Oliga [24]

4+8_>100
(4+8 must be greater than or less than 100)

6 0

3 years ago

Find the length of the radius of a circle with a center at –7 2i and a point on the circle at 33 11i.

Semenov [28]

The length of the radius of a circle exists 41 units.

<h3>How to estimate the length of the radius of a circle?</h3>

Given: The center exists at -7+2i and a point in the circle at 33+11i.

The radius of the circle exists given by the following formula;

The radius of the circle $=\sqrt{x^{2}+y^{2}}$

The center exists at -7 + 2i and a point in the circle at 33 + 11i.

$$&x(33-(-7)), y(2 \mathrm{i}-11 \mathrm{i}) \\$

simplifying the equation, we get

$$&\mathrm{x}(33+7), \mathrm{y}(-9 \mathrm{i}) \\$

$$&\mathrm{x}(40), \mathrm{y}(-9(-1)) \\$

$$&\mathrm{x}(33+7), \mathrm{y}(9)$

The center of the circle exists at $$&\mathrm{x}(33+7), \mathrm{y}(9)$ .

The length of the radius of a circle exists,

Radius $$}=\sqrt{x^{2}+y^{2}} \\$

substituting the values of x and y, we get

Radius $$}=\sqrt{40^{2}+9^{2}} \\$

Radius $$}=\sqrt{1600+81} \\$

Radius $$=\sqrt{1681} \\$

Radius = 41 unit

Therefore, the length of the radius of a circle exists 41 unit.

To learn more about length of the radius of a circle refer to:

brainly.com/question/10443107

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6 0

2 years ago

The written portion of bens driving test had 40 questions Ben correctly answered 12 more questions than he missed how many quest

lilavasa [31]

We wil name x to the amount of correctly answered questions. Then, we get:

$(x-12)+x=40$ $2x-12=40$ $2x=40+12$ $2x=52$ $x=\frac{52}{2}$ $x=26$

Ben had 26 correct answers, so he missed 40-26= 14.

4 0

1 year ago