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Vaselesa [24]
2 years ago
15

What is the sum of the sequence 1+3+5+7+...+99 Use Gauss's approach to find the following sum.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
5 0
Gauss's approach is to add the same sequence in reverse order, namely

S=1+3+5+7+......+95+97+99
S=99+97+95+......+7+5+3+1
---------------------------------------
2S=(1+99)+(3+97)+(5+95)+......(95+5)+(97+3)+(99+1)=50*100=5000
=> sum = (2S)/2 = 5000/2=2500.
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What is 124.62 rounded to the nearest whole number? Please ASAP!
Tomtit [17]

Answer:

125

Step-by-step explanation:

anything that is above .5 will round up and below .4 will round down.

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3 years ago
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Tell whether x and y show direct variation. Explain your reasoning. y−x=0
Jlenok [28]

Answer:

yes

Step-by-step explanation:

Direct variation is represented as

y = kx, where k is a constant.  

We can rewrite y - x = 0 as

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This can be looked at as

  y = (1)x     , so this is a direct variation relationship where k = 1

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2 years ago
The scale of Miguel's dollhouse is 1in.=2 2/7ft. If the pants of the military uniform of the father in the dollhouse are 1 2/5 i
Eva8 [605]

Answer:

3 1/5 ft

Step-by-step explanation:

We can set up a proportion:

\frac{1}{2\frac{2}{7} } =\frac{1\frac{2}{5} }{x} , where x is how long the pants are in real life

Cross multiply:

x = (2 2/7) * (1 2/5)

It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:

2 2/7 = 16/7

1 2/5 = 7/5

Now, put these back in:

x = (16/7) * (7/5) = 16/5 = 3 1/5

Thus, in real life, the pants would be 3 1/5 ft long.

Hope this helps!

5 0
3 years ago
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(04.04)
Aleks [24]

Answer: 10 units

Step-by-step explanation:

If the trail starts at R(-2, 4) and goes towards S(3, 4), the distance between the two points would be the sum of the absolute value of the x values. That means it's 2 + 3, which is 5. The distance between the 2 points is five. Doing the same thing with S(3, 4), and T(3, -1) but with the y values, you get 5. adding the 2 distances up you get:

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4 0
3 years ago
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Alborosie

Answer:

x=20 and y=16

Step-by-step explanation:

4x - 6y= -16

since y=x -4, we substitute it in place of "y"

Then, 4x - 6(x-4) = -16

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y=20-4

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