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lisov135 [29]
2 years ago
9

Graph the inequality below on the number line.

Mathematics
2 answers:
makkiz [27]2 years ago
5 0
Put an open circle on -9 then make a line towards the left.
marshall27 [118]2 years ago
3 0

Answer:

You start at -9

-Open circle

-shade towards the right (where all the positive numbers are)

Open circle - ones that don't have a greater than or equal to. If it does then it's a closed one.

Shade towards the right cause y is less than 9

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In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

a+16(-3) = -40

a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0
3 years ago
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Whats the answer, to the question below
NISA [10]

The answer to this problem is 5.

6 0
3 years ago
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The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd
gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is 3.981 * 10^{-9}

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

H^+ = 10^{-pH}

Substituting the given values in above equation, we get -

H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9} mol/l

The concentration of hydrogen ions in moles per liter (M) is 3.981 * 10^{-9}

8 0
3 years ago
One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cat
SSSSS [86.1K]
There are 50 more dairy cattle than beef cattle.
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3 years ago
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Variance is_________.
katrin [286]

Answer:

B

Step-by-step explanation:

Variance can be said to be a measure of dispersion for a random sample.

Variance = pq/n

When given the variance, we can find the standard deviation.

Standard deviation = √variance

= √pq/n

3 0
3 years ago
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