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kifflom [539]
3 years ago
6

1. t+7=5 step by step

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

t=-2

Step-by-step explanation:

t+7=5

t+7-7=5-7

t=-2

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Both the La Plata river dolphin (Pontoporia blainvillei) and
Citrus2011 [14]

Answer:

<em>1. A sperm whale is </em><em>3</em><em> </em><em>orders of magnitude</em><em> heavier than a La Plata river dolphin; 2. The radius of the larger ball is </em><em>one (1) order of magnitude</em><em> bigger than the radius of the smaller ball; 3. The volume of the larger ball is </em><em>3 orders of magnitude</em><em> bigger than the volume of the smaller ball</em>.

Step-by-step explanation:

If we expressed a number as:

\\ N = a * 10^{b} (1)

Where

\\ \frac{1}{\sqrt{10}} \leq a < \sqrt{10} (2)

or

\\ 1 \leq a < 10 (3)

Then, <em>b</em> represents the <em>order of magnitude </em>of such a number (<em>Order of magnitude (2020), </em>in Wikipedia).

The order of magnitude can be defined as "...the smallest power of ten needed to represent a quantity" (Weisstein, Eric W. "Order of Magnitude". From MathWorld--A Wolfram Web Resource).

Having gathered all this information, we can proceed as follows:

<h3>First case</h3>

The<em> La Plata river dolphin</em> weighs between 30 and 50kg and the sperm whale weighs between 35,000 and 40,000kg.

Then, considering (1) and (3) to express the dolphin and whale's weight (since in this way the order of magnitude is the same as the exponent part in the <em>scientific notation</em>):

\\ 30kg \leq Dolphin_{weight} \leq 50kg

\\ 3*10^{1}kg \leq Dolphin_{weight} \leq 5*10^{1}kg

\\ 35000kg \leq Whale_{weight} \leq 40000kg

\\ 3.5*10^{4}kg \leq Whale_{weight} \leq 4.0*10^{4}kg

Since the range for the weights are in the same order of magnitude for both dolphin and whale (considering the definition above):

\\ Dolphin_{weight} = 10^{1}\;(order\;of\;magnitude=1)

\\ Whale_{weight} = 10^{4}\;(order\;of\;magnitude=4)

Then

\\ \frac{Whale_{weight} = 10^{4}}{Dolphin_{weight} = 10^{1}}

\\ \frac{Whale_{weight}}{Dolphin_{weight}} = \frac{10^{4}}{10^{1}}

\\ \frac{Whale_{weight}}{Dolphin_{weight}} = 10^{4-1}

\\ \frac{Whale_{weight}}{Dolphin_{weight}} = 10^{3}

Thus

<em>A sperm whale is </em><em>3</em><em> </em><em>orders of magnitude</em><em> heavier than a La Plata river dolphin.</em>

<h3>Second case</h3>

Following the same reasoning, we can conclude that <em>the radius of the larger ball is </em><em>one (1) order of magnitude</em><em> bigger than the radius of the smaller ball:</em>

\\ \frac{Larger\;ball_{radius}}{Smaller\;ball_{radius}} = \frac{10^{1}}{10^{0}}

\\ \frac{Larger\;ball_{radius}}{Smaller\;ball_{radius}} = 10^{1-0} = 10^{1}

<h3>Third case</h3>

For this case, we need to calculate <em>the volume of a sphere</em> for both radii (1cm and 10cm).

The volume of a sphere is

\\ V_{sphere} = \frac{4}{3}*\pi*R^{3}

Then, the volume of the <em>ball of radius 1cm</em> is:

\\ V_{radius=1} = \frac{4}{3}*\pi*(1cm)^{3}

\\ V_{radius=1} \approx 4.19*10^{0}cm^{3}

And, the volume of the <em>ball of radius 10cm</em> is:

\\ V_{radius=10} = \frac{4}{3}*\pi*(10cm)^{3}

\\ V_{radius=10} \approx 4.19*10^{3}cm^{3}

Thus

\\ \frac{10^{3}}{10^{0}} = 10^{3}

As a result, <em>the volume of the larger ball is </em><em>3 orders of magnitude</em><em> bigger than the volume of the smaller ball</em>.

4 0
3 years ago
-8 1/16 as decimal number
Anon25 [30]

Answer:

-8.0625

Step-by-step explanation:

5 0
3 years ago
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30/50 of earth atomospere is made up nitrogen while only 21/100 is made up of oxygen what fraction of earth atmosphere is either
lara31 [8.8K]

Answer:

81/100 of the atmosphere consists of those two elements

Step-by-step explanation:

3/5+21/100  >  81/100

3 0
3 years ago
Finish the lyrics:
iragen [17]

Answer:

Time square can't shine as bright as you

I swear, it's true

Hey there, Delilah

Don't you worry about the distance

I'm right there if you get lonely

Give this song another listen

Close your eyes

Listen to my voice, it's my disguise

I'm by your side

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

What you do to me

Hey there, Delilah

I know times are gettin' hard

But just believe me, girl

Someday I'll pay the bills with this guitar

We'll have it good

We'll have the life we knew we would

My word is good

Hey there, Delilah

I've got so much left to say

If every simple song I wrote to you

Would take your breath away

I'd write it all

Even more in love with me you'd fall

We'd have it all

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

A thousand miles seems pretty far

But they've got planes and trains and cars

I'd walk to you if I had no other way

Our friends would all make fun of us

And we'll just laugh along because we know

That none of them have felt this way

Delilah, I can promise you

That by the time we get through

The world will never ever be the same

And you're to blame

Hey there, Delilah

You be good, and don't you miss me

Two more years and you'll be done with school

And I'll be makin' history like I do

You'll know it's all because of you

We can do whatever we want to

Hey there, Delilah, here's to you

This ones for you

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

Oh, it's what you do to me

What you do to me

Oh, whoa, whoa

Oh whoa, oh

Oh, oh

Step-by-step explanatio

7 0
3 years ago
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Arrange the following measurements in order from smallest to largest.
Ahat [919]
20 ounces, 52 ounces, 4 pounds.
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