How does a digit in the ten thousand place compare to a digit in thousands place?

Answers

Answer 1

Answer:
The digit in the ten thousands place is printed slightly to the left
of the one in the thousands place.

If they are the same digit, then the value of the one on the left is
ten times the value of the one on the right.

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Factor 9x6 – 16 y completely.First factor each term.
9x6 = (__)?
16y6 = ()2
Then use a? - b2 = (a - b)(a + b). Show your work.
9x6 – 16y6 =

Answers

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

What is the value of x in the equation −x = 6 − 3x + 8?−14
−7
14
7

Answers

Answer:

x = 7

Step-by-step explanation:

Add 3x to both sides of the equation.

2x = 6+8

Divide both sides by 2.

x = 7

Answer:

Step-by-step explanation:

Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?

Answers

Call the number of bracelets sold x. Gvien that there are 100 bracelets: x < or equal than 100 Earnings = 5x => 5x > or equal than 300 => x > or equal than 300 / 5 => x > or equal than 60. Then, you obtain 60 < or equal than x < or equal than 300.

Answer:

Amount needed by Zoya to meet her fundraising goal ≥ $ 300

Number of Bracelets possessed by Zoya = 100

Cost of single bracelet = $ 5

To meet her goal , we need to convert these statement into equation

Let number of Bracelets sold = x

1. x≤ 100

2. 5 x ≥ 300

Dividing both sides by 5, we get

x ≥ 60

The two inequality are : x ≤ 100 and x ≥ 60

So the inequality is : 60 ≤ x≤ 100.

(05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?A right trapezoid with top side 5 feet and height 5 feet. The bottom side is extended to the right with 3 more feet.
32.5 square feet
40 square feet
187.5 square feet
375 square feet

Answers

Answer:

The area of the doghouse is $32.5\ ft^(2)$

Step-by-step explanation:

we know that

The area of trapezoid is equal to

$A=(1)/(2)(b1+b2)h$

where

b1,b2 are the parallel bases of trapezoid

h is the height of trapezoid

in this problem we have

$b1=5\ ft$

$b2=5+3=8\ ft$

$h=5\ ft$

substitute

$A=(1)/(2)(5+8)5=32.5\ ft^(2)$

Answer:

32.5 square feet

Step-by-step explanation:

The area of the triangle is 7.5 and the area of the rectangle is 25 so then add 25+7.5 and the answer si 32.5

A corn field has an area of 48,000 square. Ft. The width of the field is 300 feet.

Answers

Step-by-step explanation:

A) width × length = area

300 ft × l = 48000 sq ft

B) l = 48000 ÷ 300

l = 160 ft

Find the radius of a sphere with a volume of 589 cubic centimeters

Answers

Answer: The radius of a sphere is 5.20 cm.

Step-by-step explanation:

Volume of sphere = $(4)/(3)\pi r^3$ , where r = radius of sphere.

Given : Volume of sphere : 589 cubic centimeters

As per formula , we have

$(4)/(3)\pi r^3=589 \n\n\Rightarrow\ r^3=(589*3)/(4\pi)=(441.75)/(\pi)=(441.75)/(3.14)\n\n\Rightarrow\ r^3=140.684713376\approx140.68\n\n\Rigghtarrow\ r=\sqrt[3]{140.68} \approx5.20$

Thus , the radius of a sphere is 5.20 cm.

volume of sphere = $\pi$ r³

if volume of this sphere = 589 cm³

then πr³ = 589 cm³
r³ = $(589cm^(3) )/( \pi )$

∛r³ = ∛187.485 cm³

∴ r = 5.72 cm

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Round 20045 to 4 significant figures.