All categories

2 years ago

Round 3,872.3155 to the nearest hundred

Mathematics

1 answer:

zlopas [31]2 years ago

6 0

Answer:

3,872.32

Step-by-step explanation:

the nearest hundredth is 2 numbers on the right of the decimal sign. So you round up from 5 to get answer above.

You might be interested in

What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bra

jeka94

Answer:

The multiplicative rate of change is $\dfrac{2}{5}.$

Step-by-step explanation:

You are given the function

$f(x)=2\cdot \left(\dfrac{5}{2}\right)^{-x}$

First, use the following property of exponents

$\left(\dfrac{a}{b}\right)^{-x}=\left(\dfrac{b}{a}\right)^{x}$

So, your function is

$f(x)=2\cdot \left(\dfrac{2}{5}\right)^{x}$

If the exponential function is written in the form

$f(x)=a\cdot b^x,$

then b is the multiplicative rate of change for this exponential function.

In your case, the multiplicative rate of change is $\dfrac{2}{5}.$

7 0

2 years ago

Read 2 more answers

Brenda is rolling a six-sided die and flipping a coin. Complete each of the following sentences regarding the probabilities invo

sveta [45]

So for number there are 6 possible outcomes nad 5 is one of them so 1/6
He next one there are 2 outcomes and heads is 1 outcome so 1/2
For the next one you have to multiply them together so you get 1/12
And the events are independent because whatever you roll on the die won’t affect the coin(it actually does on a very small scale but I don’t think you go into that much detail for high school maths)

8 0

2 years ago

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

1 year ago

If you have 60 million barrels and you have 14% kerosene and 34% gasoline what is the total production of gasoline and kerosene

Drupady [299]

48% or 48/100 only in percents and fractions

6 0

2 years ago

Read 2 more answers

The cost of filling up Jason's car is directly proportional to the number of gallons purchased. It if costs Jason $32.40 to purc

horsena [70]

Answer:

$ 24.30

Step-by-step explanation:

1. $32.40 multiplied by 15 which would equal 486

2. Then you would do 486 divided by 20 which would equal $24.3

3. Then you just add the zero the the end

8 0

2 years ago