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3 years ago

What is the derivative of y=(4x+1)(1-x)^3

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

I am not so sure of this but I feel it would serve as hint

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Calvin's school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles directly west to the sports com

VladimirAG [237]

Answer:

2.9 miles

Step-by-step explanation:

If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

$a^{2} + b^{2} = c^{2}$

check out the document below (sorry, it's a little bit blurry)

3 0

3 years ago

PLZ HELP ASAP CIRCLES PART 2

Sveta_85 [38]

For this case we have the following angle:
theta = (9/5) pi
Having the conversion we have:
theta = ((9/5) pi) * (180 / pi)
Rewriting we have:
theta = (9/5) * (180)
theta = (9/5) * (180)
theta = 324 degrees
Answer:
The angle is equivalent to:
theta = 324 degrees

5 0

3 years ago

An elephant at the zoo maintains her weight by eating 2.5% of her body weight in food each day. If she maintains a constant weig

Lelu [443]

Answer:

2100

Step-by-step explanation:

Multiply the rate by the time and the weight to find the amount per week.

(2.5%/day)(6 tons)(2000 lb/ton)(7 days/week) = 2100 lb/week

7 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Which is the best measure of central tendency for the type of data below–the mean, the median, or the mode? explain. hours of sl

djverab [1.8K]

Mean, because the outliers are limited.

There will be nights when you get more sleep or less sleep than usual, but overall, they will not be far away from the rest of the data you're comparing.

8 0

3 years ago

Read 2 more answers