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Minchanka [31]
3 years ago
10

Add the numbers from 1 to 100 by following the same steps you used in 1.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
Summaation of a sequence

or see a smaller scale
from 1 to 10
notice
1+10=11
2+9=11
etc
5+6=11
10/2=5
there are 5 pairs
5*11=55

so

1 to 100
1+100=101
2+99=101
...
50+51=101

100/2=50
there ar 50 pairs
50 times 101=5050

the sum is 5050
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patriot [66]

Answer: 33a+19

Step-by-step explanation:

11a+7+10a+3+12a+9

Collect like terms.

(11a+10a+12a)+(7+3+9)

Simplify.

33a+19

6 0
3 years ago
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irakobra [83]

Answer:

Step-by-step explanation:

1. (2/z)x^2 + (3/z)y^2 is an equation for an ellipse, so the answeris A.

2. We can rewrite this as x^2 + y^2 = 25 - z^2. This is theequation for a circle, so the level curves are circles. However,they are unevenly spaced, because the radius of each circle issqrt(25-z^2). So the answer is F.

3. Rewriting, we have y = z/x. This is the equation of a hyperbola(except when z = 0). So the answer is B.

4. Rewriting, we have x^2 + y^2 = z^2. This is the equation for acircle of radius z, so the level curves are evenly spaced circles.The answer is C.

5. Solving for x, we have x = 1 + 1/z. These level curves arevertical lines, which are obviously parallel. However, they areunequally spaced, since the distance between them gets smaller as zgets larger. The answer is E.

6. x^2 + y^2 = z is the equation for a circle of radius sqrt(z).They are unevenly spaced once again, because the radii do notincrease linearly with z. The answer is F.

7. Solving for y gives: y = (-2/3)x + z/3. This is the equation fora line of slope -2/3 with y-intercept z/3. These are parallelbecause they all have the same slope, and evenly-spaced becauseeach time we increase z by 1 the y-intercept moves up by 1/3. Theanswer is D.

6 0
3 years ago
Edg vector operations, any help appreciated!
viktelen [127]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c

____________________________________

\large \tt Solution  \: :

Vector d can be represented as :

\qquad \tt \rightarrow \:  - 2 \hat i - 2 \hat j

Vector c can be represented as :

\qquad \tt \rightarrow \:  4 \hat i + 4\hat j

we have to create vector d from vector c

So, let's assume a vector x, such that sum of vector x and vector c equals to vector d

\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) =  - 2 \hat i  - 2 \hat j

\qquad \tt \rightarrow \: x  = -  ( 4 \hat i + 4 \hat j)   - 2 \hat i  - 2 \hat j

\qquad \tt \rightarrow \: x  = (-   4 \hat i  - 2 \hat  i)  + (  - 4 \hat j  - 2 \hat j)

\qquad \tt \rightarrow \: x  = - 6 \hat  i    -6 \hat j

Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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1 year ago
Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
Charra [1.4K]

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

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Answer:

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Step-by-step explanation:

8 0
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