All categories

2 years ago

A cyclist cycles a distance of 48 miles in a time of 3 hours.

Mathematics

1 answer:

ratelena [41]2 years ago

6 0

48/3=16
So the answer is 16mph

You might be interested in

a woman spent two thirds of her money. she lost two thirds of the remiander and then had $4(aus money) left. how much money did

antiseptic1488 [7]

Step-by-step explanation:

2/3 lost is 1/3 kept

2/3 of the 1/3 kept is 2/9 lost

1/3 x - 2/9 x = 4

3/9 x - 2/9 x = 4

1/9 x = 4

x = 36

First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.

8 0

2 years ago

Please help with this AP Calculus question !

melomori [17]

Answer:

C. $\displaystyle \frac{cos(x)}{x} - ln(x)sin(x)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

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

Trig Derivatives

Logarithmic Derivatives

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = ln(x)cos(x)$

Step 2: Differentiate

Derivative Rule [Product Rule]: $\displaystyle f'(x) = \frac{d}{dx}[ln(x)]cos(x) + ln(x)\frac{d}{dx}[cos(x)]$
Logarithmic Derivative: $\displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)\frac{d}{dx}[cos(x)]$
Trig Derivative: $\displaystyle f'(x) = \frac{1}{x}cos(x) + ln(x)[-sin(x)]$
Simplify: $\displaystyle f'(x) = \frac{cos(x)}{x} - ln(x)sin(x)$

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

Unit: Differentiation

Book: College Calculus 10e

7 0

3 years ago

P(9, 4) = 3024 126 15,120 362,880

miskamm [114]

Answer:

Its A i just took the test

Step-by-step explanation:

4 0

2 years ago

Work out (4.2×107)÷(7×104)Give your answer in standard form. Work out (4.2×107)÷(7×104)Give your answer in standard form.

professor190 [17]

Answer:

6 * 10^2

Step-by-step explanation:

Simplify : (4.2×10^7)÷(7×10^4)

(4.2 × 10^7) / (7 × 10^4)

From indices : 10^a ÷ 10^b = 10^(a - b)

(4.2 / 7) * 10^(7-4)

0.6 * 10^3

= 6 * 10^2

Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2

6 0

3 years ago

Write the equation of the following graph in intercept form.

Kobotan [32]

Answer:

A) $f(x)=0.2(x+2)(x-5)$

Step-by-step explanation:

The graph has x-intercepts at $x=5$ and $x=-2$ , so our factors for the polynomial will be $x+2$ and $x-5$ . This means we can rule out options B and D.

Our graph also has a y-intercept of $y=-2$ when $x=0$ , so if we let $f(x)=-2$ and $x=0$ , we can find the multiplier:

$f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a$

Thus, the correct equation is A) $f(x)=0.2(x+2)(x-5)$

8 0

2 years ago