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scZoUnD [109]
3 years ago
15

Write 14500 in standard form

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

<em><u>14500 in standard form is:</u></em>

1.45 \times 10^4

<em><u>Solution:</u></em>

Given that, we have to write 14500 in standard form

Standard form means writing very large numbers easily

From given,

14500

Step 1:

Move the decimal point in 14500 until there is only one non-zero digit to the left of the decimal point ( 1.45 )

Here, we move the decimal point left to 4 decimal places

Since, we moved left to 4 decimal places, exponent is positive

Therefore,

14500 = 1.45 \times 10^4

Thus the standard form is found

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bija089 [108]
The answer is 20 cm 3
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4 years ago
Raina's fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 48 liters. Wha
mario62 [17]

Answer:

8 minutes

Step-by-step explanation:

48-16=32

32/4=8

5 0
4 years ago
Quadrilateral RPQS is a rectangle. Label the missing measures.
Taya2010 [7]

Answer:

Part 1) PR=9\ units

Part 2) PQ=12\ units

Part 3) PS=15\ units

part 4) QR=15\ units

Part 5) RT=7.5\ units

Step-by-step explanation:

we know that

In a rectangle opposite sides are parallel and congruent

The measure of each interior angle is 90 degrees

The diagonals are congruent and bisect each other

step 1

Find the length of side PR

we know that

PR=QS ----> by opposite sides

we have

QS=9\ units

therefore

PR=9\ units

step 2

Find the length of side PQ

we know that

PQ=RS ----> by opposite sides

we have

RS=12\ units

therefore

PQ=12\ units

step 3

Find the length of diagonal PS

we know that

PS=2PT---> the diagonals bisect each other

we have

PT=7.5\ units ---> given problem

therefore

PS=2(7.5)=15\ units

step 4

Find the length of diagonal QR

we know that

QR=PS---> the diagonals are congruent

we have

PS=15\ units

therefore

QR=15\ units

step 5

Find the length of RT

we know that

QR=2RT---> the diagonals bisect each other

we have

QR=15\ units

substitute

15=2RT\\RT=7.5\ units

7 0
3 years ago
I don’t know how to do this ?
Alina [70]
All you need to do is draw the picture of what is happening
7 0
3 years ago
A tank is in the shape of an inverted circular cone with height 500 ft and base radius 20 ft. It is filled with water to a heigh
SashulF [63]

Answer:

1.338 * 10 ^ 9 lb-ft

Step-by-step explanation:

We have the following information:

Water density 62.4 lb / ft ^ 3

work equals force per distance, like this:

W = F * d

with the information in the statement we can deduce:

20/500 = r / y

r = y / 25

 now the differential volume would be:

dv = pi * (r ^ 2) * dy

dv = pi * ((y / 25) ^ 2) * dy

dv = pi * (y ^ 2/625) * dy

weight of slice would be:

62.4 * pi * (y ^ 2/625) * dy

= 0.3136 * y ^ 2 * dy

work for the removal of slice:

(500 - y) * 0.3136 * y ^ 2 * dy

Now the total work is the integral of the previous expression that goes from y = 0 to y = 400

Total work = integral (from 0 to 400) {(500 - y) * 0.3136 * y ^ 2 * dy}

Total work = integral (from 0 to 400) {0.3136 * (500 * y ^ 2 - y ^ 3) dy}

We integrate and we have:

Total work = 0.3136 * ((500/3) * y ^ 3 - (y / 4) ^ 4)

Total work = 0.3136 * ((500/3) * 400 ^ 3 - (400/4) ^ 4) - 0.3136 * ((500/3) * 0 ^ 3 - (0/4) ^ 4)

Total work = 0.3136 * ((500/3) * 400 ^ 3 - (400 ^ 4) / 4)

Total work = 1.338 * 10 ^ 9 lb-ft

5 0
3 years ago
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