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3 years ago

8

Nathaniel and meteorologists keep track of the amount of rain each year relative to the amount of rain in 2000 two years of data

are shown in the table below.

2 answers:

dlinn [17]3 years ago

7 0

Answer:

None is shown luv.

Step-by-step explanation:

omeli [17]3 years ago

5 0

Answer:um where are the answer choices

Step-by-step explanation:

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A³b² a²b simplify the following expression

liberstina [14]

Answer:

$a^{5}$ $b^{3}$

Step-by-step explanation:

The law of indices can be used to simplify mathematical expressions involving arithmetical operation on variables with powers.

$a^{m}$ x $a^{n}$ = $a^{(m+n)}$

Thus, the given expression can be simplified as follows:

a³b² a²b = a³ x a² x b² x $b^{1}$

= $a^{3+2}$ x $b^{2+1}$

= $a^{5}$ $b^{3}$

Thus,

a³b² a²b = $a^{5}$ $b^{3}$

7 0

3 years ago

In 79 CE, a volcano erupted near Pompeii. Within a day, the city was buried under nine feet of ash. How many inches of ash burie

larisa86 [58]

You just do 12 * 9 and get 108 inches

3 0

3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

A garden measuring 12 meters by 6 meters is going to have a walkway constructed all around the perimeter, increasing the total a

damaskus [11]

Answer:

x=2

Step-by-step explanation:

Original width = 6

New width 6+x+x

Orignal length 12

New length 12+x+x

A = l*w

160 = ( 6+2x) ( 12+2x)

Factor

160 = 2( 3+x) 2(6+x)

Divide each side by 4

40 = (3+x) (6+x)

FOIL

40 = 18+ 6x+3x+ x^2

40 = 18 +9x+x^2

Subtract 40 from each side

0 = x^2 +9x -22

Factor

0 = (x +11) (x-2)

Using the zero product property

x +11 =0 x-2 =0

x= -11 x=2

Since we cannot have a negative sidewalk

x =2

4 0

3 years ago

Read 2 more answers

Simplify the fractions below

garri49 [273]

3/4 + 2/3 = 17/12

7/8 - 2/3 = 5/24

3/5 x 1/3 = 1/5

4/7 x 2/3 = 8/21

6 0

3 years ago

Read 2 more answers