How many potential phone numbers can be created from the last seven digits (XXX – XXXX) if each digit can be any number 0-9?

Nathan read 2 books in 10 months. What was his rate of reading in books per month

Novay_Z [31]

<h2>Answer:</h2><h2>The rate of reading a book per month = $\frac{1}{5}$ = 20%</h2>

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = $\frac{10}{2}$ = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = $\frac{1}{5}$ = 20%

4 0

3 years ago

A urn contains 3 red and 5 black balls. Tom first withdraws a ball from the urn and Mary withdraws a ball from the urn without r

Papessa [141]

Answer:

The answer is B

Step-by-step explanation:

I learned this from my math teacher

6 0

2 years ago

Read 2 more answers

The L.L. Bean men’s cotton chambray shirt comes in the following colors: blue, stone, rust, green, plum, and indigo. In addition

bulgar [2K]

Answer:

<u>60 types of cotton chambray shirts can be produced</u>

<u />

Step-by-step explanation:

The shirt comes in the following colors: blue, stone, rust, green, plum, and indigo

<u>Number of colors the shirt comes in = 6</u>

The shirt comes in the following sizes: small (S), medium (M), large (L), extra large (XL), and extra extra large (XXL)

<u>Number of sizes the shirt comes in = 5</u>

The shirt comes in the following styles: short sleeves or long sleeves

<u>Number of styles the shirt comes in = 2</u>

<u />

Total number of cotton chambray shirts that can be produced are:

No. of colors * No. of sizes * No. of styles

6 * 5 * 2

60 shirts

<u>So, </u><u>60 types of cotton chambray shirts can be produced</u><u> from the given options of colors, sizes and styles. </u>

7 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

Find roots of the equation and state the multiplicity

olya-2409 [2.1K]

$({x + 2})^{3} = {x}^{3} + 6 {x}^{2} + 12x + 8$
so the answer is
$x = - 2$

7 0

3 years ago