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elixir [45]
3 years ago
5

Study the dot patterns in parts (a) and (b) below. Assume that each pattern continues to increase by the same number of dots and

in the same locations for each figure.
For each pattern, sketch the 4th and 5th figures. Then predict how many dots will be in the 100th figure.
Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

east-56 a=+b 2squared

Step-by-step explanation:

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According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise. The numbers for
Vaselesa [24]

Answer:

The mean of these statistic is 2.18.

Step-by-step explanation:

According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise.

The given data set is

2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3

Formula for mean:

Mean=\frac{\sum x}{n}

Using this formula, the mean of the data is

Mean=\frac{2+1+2+2+1+2+2+3+3+3+3}{11}

Mean=\frac{24}{11}

Mean=2.181818

Mean\approx 2.18

Therefore the mean of these statistic is 2.18.

3 0
3 years ago
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Find the given derivative by finding the first few derivatives and observing the pattern that occurs. d103 dx103 (sin(x))
aleksandrvk [35]
To find \frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right), we find the first few derivatives and observe the pattern that occurs.

\frac{d}{dx} (\sin{(x)})=\cos{(x)} \\  \\  \frac{d^2}{dx^2} (\sin{(x)})= \frac{d}{dx} (\cos{(x)})=-\sin{(x)} \\  \\ \frac{d^3}{dx^3} (\sin{(x)})= -\frac{d}{dx} (\sin{(x)})=-\cos{(x)} \\  \\ \frac{d^4}{dx^4} (\sin{(x)})= -\frac{d}{dx} (\cos{(x)})=-(-\sin{(x)})=\sin{(x)} \\  \\ \frac{d^5}{dx^5} (\sin{(x)})=  \frac{d}{dx} (\sin{(x)})=\cos{(x)}

As can be seen above, it can be seen that the continuos derivative of sin (x) is a sequence which repeats after every four terms.

Thus,

\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)= \frac{d^{4(25)+3}}{dx^{4(25)+3}} \left(\sin{(x)}\right) \\  \\ = \frac{d^3}{dx^3} \left(\sin{(x)}\right)=-\cos{(x)}

Therefore,

\frac{d^{103}}{dx^{103}} \left(\sin{(x)}\right)=-\cos{(x)}.
8 0
3 years ago
Given P = 2 (l + b) when l = 15 and P = 50,<br> find b
Firdavs [7]

Answer:

b = 10

Step-by-step explanation:

P = 2 (l + b)

l = 15

P = 50

Substitute

50 = 2 (15 + b)

multiply

50 = 30 + 2b

subtract

20 = 2b

divide

b = 10

6 0
3 years ago
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The terminal side of an angle in standard position passes through P(-3,-4). What is the value of tan e?
exis [7]

Answer:

Tan \theta= \dfrac{4}{3}

Step-by-step explanation:

Given:

The terminal side of an angle in standard position passes through P(-3,-4).

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Tan \theta= \dfrac{Opposite}{Adjacent}\\Tan \theta= \dfrac{y}{x}\\Tan \theta= \dfrac{-4}{-3}\\Tan \theta= \dfrac{4}{3}

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Help asap will mark brainiest
Sedbober [7]

Answer:

x=47

Step-by-step explanation:

If the total degrees in a triangle is 180 then you would just add the given values and subtract it from 180.

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3 years ago
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