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riadik2000 [5.3K]
3 years ago
8

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth termA.12B.2C.-

35D.35
Mathematics
1 answer:
frozen [14]3 years ago
4 0
The answer is 2 because the d/f is -5 so the term is bigger than 7
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there are 24 students in a class.8 of the students are boys.write the amount of boys in the class as a fraction in its simplest
Shkiper50 [21]

Answer:

8/24 which is 1/3

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Step-by-step explanation:


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3 years ago
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Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by
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The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

<h3>How to determie the equation of the cross-section?</h3>

The given parameters are:

Width = 6 feet

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Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

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y = a(x - 3) * (x + 3)

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y = a(x^2 - 9)

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-1.5 = a(0^2 - 9)

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-1.5 = -9a

Divide both sides by -9

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Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

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7 0
2 years ago
A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If i
11111nata11111 [884]

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

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S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

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R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

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3 years ago
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Answer: x+3y=12

Step-by-step explanation:

Slope of two lines that are perpendicular to each other is 1.

If one line is y=3x, then its slope = 3   [by comparing to the linear equation y= mx+c, here m=3]

Let n be the slope of the required line, then

n\times3=-1\\\\\rightarrow\ n=\dfrac{-1}{3}

Equation of line with slope n and passers through (a,b) is

(y-b)=n(x-a)

Equation of line with slope n= \dfrac{-1}{3} and passes through point ( 0,-4) :

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3 years ago
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Answer:

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Step-by-step explanation:

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1 year ago
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