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3 years ago

If a = − 65 and b = 8, the product of a x b models which rule for multiplying integers? What is the product?

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

C.ithat is the correct answer i hope it help

DedPeter [7]3 years ago

4 0

Given, a = -65 and b = 8.

We have to find multiplication of them.

a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means $(+)(-) = -$ .

So $(a)(b) = (-65)(8)$

= $(-)(+)(65)(8)$ = $- (65)(8)$ = $-520$

So we have got the required product.

Multiplication of a and b = -520.

The correct option is option C.

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If f(x) = 9x10 tan−1x, find f '(x).

djverab [1.8K]

Answer:

$\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = 9x^{10} \tan^{-1}(x)$

Step 2: Differentiate

[Function] Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Rewrite [Derivative Property - Multiplied Constant]: $\displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Basic Power Rule: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]$
Arctrig Derivative: $\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

URGENT URGENT helppps plz

Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector = $\frac{270}{360}$ ×pi×15×15

= 168.75pi

1) Smaller sector = $\frac{360-270}{360}$ ×pi×15×15

= $\frac{90}{360}$ ×pi×15×15

= 56.25pi

2) Bigger sector = $\frac{270}{360}$ ×3.14×15×15

= 529.875

2) Smaller sector = $\frac{360-270}{360}$ ×3.14×15×15

= $\frac{90}{360}$ ×3.14×15×15

= 176.625

6 0

2 years ago

for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were

kolezko [41]

Answer:

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0

3 years ago

A carpenter is cutting down dowels from a piece of wood that is 10 inches long. How many 1/2-inch dowels can the carpenter cut?

Reika [66]

He can cut 5, because 10in divided by 2 is 5.

6 0

3 years ago

Read 2 more answers

What is the solution to the equation? 5х - 18 = 10x - 3

Alex787 [66]

Step-by-step explanation:

if we add 18 to both side then it becomes 5x=10x+15 and if we divide by five, x=2x+3