MATHEMATICS HIGH SCHOOL

. Use the process outlined in the lesson to approximate the number 3√10. Use the approximation √10 ≈3162 277 7.. Find a sequence of five intervals that contain 3√10 whose endpoints get successively closer to 3√10. Write your
iintervals in the form 3^???? < 3^√10 < 3^s for rational numbers ????and s.

Answers

Answer 1

Answer:

Answer:

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

Step-by-step explanation:

as per question given data

√10 ≈ 3.162 277 7

to find out

sequence of five intervals

solution

as we have given that √10 value that is here

√10 ≈ 3.162 277 7 ........................1

when we find $3^(√(10) )$ ................2

put here √10 value in equation number 2

we get $3^(√(10) )$ that is 32.27

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

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At 10a.m. Juan leaves the city traveling north at 60 mi/hr. One hour later mel leaves the city traveling south at 50 mi/hr. At what time will they be 830 miles apart?

Answers

-- At 11 AM, when Mel starts out, Juan has already covered 60 miles.

-- After that, since they're traveling in opposite directions, the distance
between them increases (60 + 50) = 110 miles every hour.

Let's call 'H' the number of hours after 11 AM.
Then the distance between them is

D = 110H + 60

When is this distance 830 miles ? Wouldn't you like to know !

830 = 110H + 60

Subtract 60 from each side:

770 = 110H

Divide each side by 110 :

H = 770 / 110 = 7 .

It happens 7 hours after 11 AM.
That would be 6:00 PM .

$(60)/(1) = (830)/(x)$
$60x = 830$
$x = 13.83$
$10 + 13.83 = 23.83$
23.83 hours is around 11:50pm

$(50)/(1) = (830)/(x)$
$50x = 830$
$x = 16.6$
$11 + 16.6 = 27.6$
$27.6 - 24 = 3.6$
3.6 is around 1:36am

Order these from least to greatest

Answers

order what there is nothing to order sorry

-7 - 7 ( 8x - 7 ) = - 19 + 5x

Answers

-7 - 7( 8x - 7 ) = -19 + 5x
⇔ -56x + 49 = -12 + 5x
⇔ -61x = -61
⇔ x = 1

Can you help me with any of these please (not lazy don't understand )

Answers

I believe the first one is h becuase there is a y on the left side.
for the second one just find the slope for the points and see which one doesn't fit in the groups (I would use tables)
and for the last one try writing equations for them.

but idk tho that's just what I would do.

Stephan has a dog that weighs 5 times as much as Ian's dog. The total weight of both dogs is 72 pounds. how much does Stephans dog weigh??

Answers

Answer:

Stephan's dog weighs 60 pounds.

Step-by-step explanation:

How to multi-step equation

Answers

They must be solved one step at a time.

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Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?"10(x − 12) x − 12 ⋅ 10 12(x − 10) 10 ⋅ x − 12