All categories

3 years ago

What is 219.109 to the nearest tenth

Mathematics

2 answers:

AfilCa [17]3 years ago

7 0

219.1 .the place of the right of the decimal place its tenth position.

sergij07 [2.7K]3 years ago

5 0

219. If our rounding down
...........

You might be interested in

I need help with part "C" and "D"

dmitriy555 [2]

3x²cos( x³ ) and 3sin²( x ) cos( x ) are the derivatives of the composite functions f(x) = sin(x³) and f(x) = sin³(x) respectively.

<h3>What are the derivative of f(x) = sin(x³) and f(x) = sin³(x)?</h3>

Chain rule simply shows how to find the derivative of a composite function. It states that;

d/dx[f(g(x))] = f'(g(x))g'(x)

Given the data in the question;

f(x) = sin(x³) = ?

f(x) = sin³(x) = ?

First, we find the derivate of the composite function f(x) = sin(x³) using chain rule.

d/dx[f(g(x))] = f'(g(x))g'(x)

f(x) = sin(x)

g(x) = x³

Apply chain rule, set u as x³

d/du[ sin( u )] d/dx[ x³ ]

cos( u ) d/dx[ x³ ]

cos( x³ ) d/dx[ x³ ]

Now, differentiate using power rule.

d/dx[ xⁿ ] is nxⁿ⁻¹

cos( x³ ) d/dx[ x³ ]

In our case, n = 3

cos( x³ ) ( 3x² )

Reorder the factors

3x²cos( x³ )

Next, we find the derivative of f(x) = sin³(x)

d/dx[f(g(x))] = f'(g(x))g'(x)

f( x ) = x³

g( x ) = sin( x )

Apply chain rule, set u as sin( x )

d/du[ u³ ] d/dx[ sin( x )]

Now, differentiate using power rule.

d/dx[ xⁿ ] is nxⁿ⁻¹

d/du[ u³ ] d/dx[ sin( x )]

3u² d/dx[ sin( x )]

Replace the u with sin( x )

3sin²(x) d/dx[ sin( x )]
Derivative of sin x with respect to x is cos (x)

3sin²( x ) cos( x )

Therefore, the derivatives of the functions are 3x²cos( x³ ) and 3sin²( x ) cos( x ).

Learn more about chain rule here: brainly.com/question/2285262

#SPJ1

4 0

1 year ago

Lana works at a spa. She charges $28.75 for a manicure. She averages 32 manicure per week. What is her average weekly income?

patriot [66]

Answer:

the answer is $920

Step-by-step explanation:

28.75 x 32=920

6 0

3 years ago

Read 2 more answers

7 divide 0.2 = Show your thinking plz I will give brainlyiest

Karo-lina-s [1.5K]

.2 goes into 7 35 times.

you move the decimal in .2 to make it 2 and make 7 70; 2 goes into 7 3 times which gives you 6 on top and 10 on the bottom, 2 goes into ten 5 times so your final answer would be 35

6 0

3 years ago

Read 2 more answers

Match the provided functions to a graphed function with the same zero(s).

satela [25.4K]

Answer:

1st:

${x}^{3} - 3 { x}^{2} - 3$

2nd:

${x}^{2} - 5x + 4$

3rd:

$- 4x - 8$

Step-by-step explanation:

Graph all of them and see which ones cross the x- axis at the same points.

8 0

3 years ago

Consider a machine that fills 275 gallon tanks of water. The owner discovers that the machine does not always dispense exactly 2

fenix001 [56]

Answer:

(a) The random variable X is a continuous random variable.

(b) The probability density function is shown below.

(c) The probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

Step-by-step explanation:

Let the random variable X be denoted as the amount of water filled by the machine in a 275 gallon tank.

(a)

The random variable X is a continuous random variable.

A continuous random variables assumes infinite values. That is, they assume values in a fixed interval. For example, the distance covered by a car.

A discrete random variable assumes fixed definite values. They assume whole number values. For example, number of customers visiting a bank in an hour.

The amount of water in the tank can be any value between 0 to 275 gallon.

Hence, the random variable X is a continuous random variable.

(b)

The probability density function of the continuous random variable X is given as follows:

$0.25;\ 272$