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myrzilka [38]
3 years ago
6

Differentiate each of the following, where

Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

\frac{\textbf{dy}}{\textbf{dx}} = \textbf{10ax}+\textbf{9bx}^2

Step-by-step explanation:

Let

y= 5ax^2+3bx^3+5

Differentiating y with respect to x

\frac{dy}{dx} =5a(2x)+3b(3x^2)+0

\frac{dy}{dx}= 10ax+9bx^2    where a and b are constants

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X+6=20 so what must X represent to get blank plus 6=20??
Gelneren [198K]

Answer:

14

Step-by-step explanation:

20-6=14

x=14

8 0
3 years ago
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What is the answer to this help me please <br>​
liubo4ka [24]

Answer:

australia

Step-by-step explanation:

5 0
2 years ago
so, I need to just find the missing length, if you can, please explain the pythagorean theorem to find the missing side. I don't
ANTONII [103]

The surface area of the triangular prism is 828 in².

Solution:

Let the missing length of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of other two sides.

12^2+x^2=15^2

144+x^2=225

Subtract 144 on both sides of the equation.

x^2=225-144

x^2=81

Taking square root on both sides, we get

x = 9

The missing length of the triangle is 9 in.

Area of the front triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the back triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the sloping rectangle = 20 × 9

                                                 = 180 in²

Area of the back rectangle = 20 × 12

                                             = 240 in²

Area of the base rectangle = 20 × 15

                                             = 300 in²

Total area = 54 in² + 54 in² + 180 in² + 240 in² + 300 in²

                 = 828 in²

The surface area of the triangular prism is 828 in².

4 0
3 years ago
1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long wou
igor_vitrenko [27]

Answer:

13,250,000 feet or 13.25 million feet

Step-by-step explanation:

Each person in the line has a shoulder width of 1.325 feet.

For each person, there is a width of 1.325 ft. There are 10 million people.

Since:

10 million = 10,000,000

The total length must be:

1.325 * 10,000,000

1.325 * 10,000,000 = 13,250,000

Answer: 13,250,000 feet or 13.25 million feet

4 0
2 years ago
Plzzzzz help ASAP!!!!!! Solve: x/32=15/20
Novosadov [1.4K]

Answer: x = 24

Step-by-step explanation: To solve for <em>x</em> in the given proportion, we use the means-extremes property.

The product of the extremes, (x)(20),

equals the product of the means, (32)(15).

So we have (x)(20) or 20x equals (32)(15) or 480.

So we have 20x = 480.

Dividing both sides by 20, <em>x = 24</em>.

8 0
3 years ago
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