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2 years ago

Solve each problemHelp it's on the picture

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

Answer:

17 512 dm3 27 28 dm3 37 43 dm3 47 52 92 cm3 57 42 m3

Step-by-step explanation:

17 volume= 8x8x8= 512 dm3

27 volume= 3.5x4x2= 28m3

37 volume= 4x2, 5x4.3= 43 dm3

47 volume= 18x14x21= 5292 cm3

57 volume= 4x3x3.5= 42 m3

the volume cuboid = length x width x height )

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What does the range of data tell you

stiv31 [10]

Answer:

The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.

Step-by-step explanation:

5 0

3 years ago

Inveres laplace transform (3s-14)/s^2-4s+8

Olenka [21]

Complete the square in the denominator.

$s^2 - 4s + 8 = (s^2 - 4s + 4) + 4 = (s-2)^2 + 4$

Rewrite the given transform as

$\dfrac{3s-14}{s^2-4s+8} = \dfrac{3(s-2) - 8}{(s-2)^2+4} = 3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}$

Now take the inverse transform:

$L^{-1}_t\left\{3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3L^{-1}_t\left\{\dfrac{s-2}{(s-2)^2+2^2}\right\} - 4L^{-1}_t\left\{\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3e^{2t} L^{-1}_t\left\{\dfrac s{s^2+2^2}\right\} - 4e^{2t} L^{-1}_t\left\{\dfrac{2}{s^2+2^2}\right\} \\\\ \boxed{3e^{2t} \cos(2t) - 4e^{2t} \sin(2t)}$

5 0

2 years ago

the diagonals PR and QS of a rhombus intersect each other at point O. prove that 2(PQ) + 2(RS) + 2(RS)+ 2(PS) = 4 (2(OP)+2(OQ))

Svetllana [295]

Answer:

6 is the answer

Step-by-step explanation:

3 0

3 years ago

In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle OPQ = (9x-19)^{\circ}m∠OPQ=(9x−19) ∘ , \text{m}

kow [346]

Answer:

To find the measure of angle OPQ, we have two equations...

y+5x-17=180 because angles OPN and OPQ are supplementary...

AND

x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.

The equations...

5x+y=197

3x+y=167

solce the system of equations...

x=15

y=122

Since we wanted to solve for y, 122 is the answer.

The measure of angle OPQ is 122.

3 0

3 years ago

Shannon's new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5 ¼ %

Novay_Z [31]

Answer:

P = 28,000(0.945)^y

where P is the price of the car after y years of purchase

Step-by-step explanation:

The rate of decrease is 5 1/4 % per year

This is same as 5.5% (5.5/100 = 0.055) per year

The exponential equation will be ;

P = 28,000( 1 - 0.055)^y

P = 28,000(0.945)^y

where y is the number of years after the year of purchase

6 0

3 years ago

Solve each problemHelp it's on the picture​

Solve each problemHelp it's on the picture