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3 years ago

Round 653,500 to the nearest thousand.

Mathematics

2 answers:

andreev551 [17]3 years ago

8 0

Answer:

654,000.

Step-by-step explanation:

The thousands place value is the 4th from the decimal.

653,500.0

3,000 is the thousands place.

When rounding, we must look at the digit to the right of the digit being rounded. In this case, its 5, so we round up to get 654,000.

GrogVix [38]3 years ago

8 0

654,000 is the answer .

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tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all th

Alex787 [66]

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get the time taken to fill the tap

Let us have the rate per hour

A fills in 6 hours; so the fraction filled in an hour is 1/6

B fills in 8 hours, so the fraction filled in an hour is 1/8

C empties in 10 hours, so the fraction removed per hour is 1/10

So factoring the supply and removal, where removal is on a negative basis

we have it that in an hour, the fraction retained is;

1/6 + 1/8 - 1/10

= (20 + 15 - 12)/120

= 23/120

So this is the fraction retained per hour

The number of hours it will take to have a whole is simply the reciprocal of this fraction

That would simply be 120/23 = 5 5/23

5 hours and 5 minutes

6 0

3 years ago

A plane at 3,800 feet is descending at a rate of 120 feet per minute, and a plane at 520 feet is climbing at a rate of 40 feet p

Llana [10]

so the basic formula for this d = rt

where d is the distance , r is the speed and t is time

3800 – 120t = 520 + 40t ( this is the altitude of each plane are equal)

Solve for t

T = 20.5 min time it takes for the planes to be at the same altitude

3800 – 120(20.5) = 1340 ft

5 0

3 years ago

(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =

frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0

3 years ago

Mark and Amber Vinson have $22,000 to invest in two accounts, part at 10% and part at 12%. If they want to earn a return of at l

KengaRu [80]

22,000 x 2= 44,000

120%

So I think it would equal to 345,600,0

I am not sure

P.S. I am not good at math sorry if it is wrong...

3 0

3 years ago

Rewrite 1/100,000,000 as a power of 10

yarga [219]

1/100,000,000 , note that 100,000,000 = 10⁸ , then:

1/100,000,000 = 1/10⁸
Remember that 1/aⁿ = a⁻ⁿ

Hence 1/100,000,000 = 1/10⁸ = 10⁻⁸

3 0

3 years ago

Read 2 more answers