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Zarrin [17]
3 years ago
13

In the sequence – 40, –33, –26, –19, … determine the 77th term and the sum of the first 90 terms.

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
The 77th term is 532 because the nth term is 7n-7

7x77=539

539-7=532
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Leto [7]

For this case we have a factorized quadratic equation. We equal each factor to zero and thus find the roots:

x + 5 = 0

Subtracting 5 from both sides we have:

x = -5

Thus, the first solution of the equation is:

x_ {1} = - 5

On the other hand we have:

x-3 = 0

Adding 3 to both sides:

x = 3

Thus, the second solution of the equation is:

x_ {2} = 3

Answer:

The solutions of the equation are:

x_ {1} = - 5\\x_ {2} = 3

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3 years ago
Rosa works in an office building with many floors.From her office she goes down 5 floors for a meeting .Then she goes up 8 floor
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Answer:

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Step-by-step explanation:

So to figure out what floor Rosa's office is in, we need to declare some variables.

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One major clue to find Rosa's office is that she went down 13 floors to get to the 1st floor. So let's declare that Rosa is on the first floor.

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x - 10 = 1

x = 1 + 10

x = 11

So Rosa's office is at the 11th floor of the building.

8 0
3 years ago
Consider an experiment whose sample space consists of a countably infinite number of points. Show that not all points can be equ
ella [17]

Answer: if you have infinity points, which i will asume are the events, they cant have the same probability because then the probability will not be normalized, because in graph of prob vs variable, you will se infinite area under the curve if the probability is constant.

And yes, can all points have positive probability of occurring, but besides you medium value (the bell for example) you will see an asintotic decrease to the zero.

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2 years ago
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Mandarinka [93]

Answer:

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We have two points so we can find the slope

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We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -x+b

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2 = -1 +b

Add 1 to each side

2+1 =-1+1 +b

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4 0
2 years ago
Which value of a in the exponential function below would cause the function to stretch?
maxonik [38]

Answer:

“1.5”

Step-by-step explanation:

7 0
2 years ago
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