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3 years ago

Write. (0.25)³ as a multiplication

Mathematics

2 answers:

Colt1911 [192]3 years ago

5 0

A number raised to an exponent is the number multiplied by itself the number of times the exponent is.

The exponent is 3, so this means 0.25 is multiplied by itself 3 times.

0.25^3 = 0.25 x 0.25 x 0.25

user100 [1]3 years ago

5 0

Answer:0.100

Step-by-step explanation:

If you sed the rule of counting decimal places in the equation to find the number of decimal places in the answer you must not discard zeros too early. For example to multiply 0.25 by 0.4 you need 2+1 decimal places and the multiplication without a decimal point gives 0100. The answer is therefore 0.100.

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Estimates 879 times 8

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ESTIMATE: 900 divided by 10
equals 9000

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2 years ago

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There are 240 sixth graders at Smith middle school. 2/3 of the sixth graders are wearing sneakers on monday. How many sixth grad

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3 years ago

Given each bottle, match the Height vs. Volume graph that will be created as the bottle is consistently filled with a liquid.

Bas_tet [7]

The relationship between the volume of a liquid in a vessel and the height of the liquid in the vessel is a function

The correct options are;

Ink bottle: B

Conical flask: I

Boiling flask: C

Bucket: H

Vase: D

Plugged funnel: E

The reason the above values are correct are as follows:

The formula for the volume of the cylindrical portion of the containers is;

$V_{cylinder}$ = π·r²·h

∴ $V_{cylinder}$ ∝ h

Rate of change, dV/dh = π·r²

Given that r is constant, dV/dh is constant

The formula for the volume of the spherical portion of the bottles is;

$V_{sphere}$ = (4/3)·π·r³

$V_{sphere} = \dfrac{4\cdot \pi \cdot r^3 }{4} - \dfrac{ \pi \cdot h_c^2 \cdot (3 \cdot r-h_c) }{3}$

$V_{sphere}$ ∝ $h_c^3$

The formula for the volume of the conical portion of the bottles is;

$V_{cone} = \dfrac{1}{3} \times \pi \times r^2 \times h$

The rate of change of the volume with height = (1/3)·π·r²

From the above formulas, we have;

The shape of the graph of the bucket is similar to half a parabola umbrella shaped, which is option H

Similarly, the shape of the graph of a conical flask which is a upright cone, will be a cup shaped parabola with a straight portion at the end, which is option I

The rate at which the height with volume introduced in the vase first increased slowly at the start then more rapidly in the middle, then slowly again at the the top, which is equivalent to option D

The height and volume in the plugged funnel first increase at a constant rate then assumed a parabolic shape of half an umbrella, which is option E

Similar to the vase, the height of the liquid in the boiling flask first increases at a lesser rate than the volume, and increasingly so towards the middle, then past the middle, the height increases at an increasingly rapid rate than the volume, and finally, in the cylindrical section, the graph is a straight line, which is option C

The ink bottle has two cylindrical portions and one upright conic section, therefore, the graph consists of two straight portions at the start and final, position and a parabolic (facing up) section at the middle, which is option B

Learn more about interpreting functions here:

brainly.com/question/17495022

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3 years ago

Correctly complete this sequence: 88511, 16351, ?, 10251

Temka [501]

Answer:

73155 is the required 3rd number that will complete the sequence as: 88511, 16351, 73155 , 10251.

Step-by-step explanation:

So, let us consider 88511 and determine the pattern to find the next number and so on to complete the sequence.

Adding the first 2 digits in the number 88511 i.e. 8 + 8 = 16

Subtracting the 3rd digit from the 2nd digit i.e. 8 - 5 = 3

Multiplying the 3rd digit and 4th digit i.e. 5 × 1 = 5

Dividing the 4th digit by the 5th digit i.e. 1 ÷ 1 = 1

Hence, using these steps would get us the number 16351.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 16351 i.e. 1 + 6 = 7

Subtracting the 3rd digit from the 2nd digit i.e. 6 - 3 = 3

Multiplying the 3rd digit and 4th digit i.e. 3 × 5 = 15

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 1 = 5

Hence, using these steps would get us the number 73155.

So, the next number would be obtained using same steps:

Adding the first 2 digits in the number 73155 i.e. 7 + 3 = 10

Subtracting the 3rd digit from the 2nd digit i.e. 3 - 1 = 2

Multiplying the 3rd digit and 4th digit i.e. 1 × 5 = 5

Dividing the 4th digit by the 5th digit i.e. 5 ÷ 5 = 1

Hence, using these steps would get us the final number 10251.

So, from this pattern method, we determine that 73155 will be the 3rd number in the sequence: 88511,16351,?,10251.

So, the complete sequence would be: 88511, 16351, 73155, 10251.

Keywords: sequence, number

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8 0

3 years ago

A sale of 1/4 off the original price of $100

Artyom0805 [142]

That is simple its $25
100 divided by 4 is 25
1/4 = 25
2/4 = 50
3/4 = 75
4/4 (1) = 100

7 0

3 years ago

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Write. (0.25)³ as a multiplication ​

Write. (0.25)³ as a multiplication