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grigory [225]
3 years ago
10

This week, Nick's puppy weighs 6 kilograms. Last week, the puppy weighed 4.5 kilograms. How much mass, in grams, did the puppy g

ain?
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0

Answer:1500 grams

Step-by-step explanation:

jasenka [17]3 years ago
5 0
1500 grams

1kg = 1000g
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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
What is the volume of a cube with one side being 16 feet ?
ruslelena [56]

Answer:

Cube

Solve for volume

V=4096ft³

Step-by-step explanation:

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3 years ago
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Help!!!!! Please!!!!!!!! Math!!!!!! Quickly!!!!!! Brainiest answer to correct answer!!!!!!!!
muminat
The answer should be 103. Because the interior angles of all triangles add up to 180 degrees, you can just add together the two known interior angles; subtract them from 180; and then find the supplement.
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Given interest of $10,510 at 12 percent for 30 days one can calculate the principal as:
gtnhenbr [62]

Answer:

$1,065,597.22

Step-by-step explanation:

Simple interest = Principal * Rate * Time/100

10,510 = P * 12 * 30/365*100

10,510*365*100 = 360P

383,615,000 = 360P

Note that the time was converted to years by dividing by 365

P = 383,615,000/360

P = $1,065,597.22

Hence the principal is $1,065,597.22

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2 years ago
Find the general form of the complete partial fraction decomposition of the integrand. use it to determine whether or not a term
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The answer is int(x^2-4x / X = 3).
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3 years ago
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