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melamori03 [73]
2 years ago
9

What is the slope of the line shown below? (Enter your answer as a decimal if nessecary)

Mathematics
1 answer:
Rufina [12.5K]2 years ago
8 0
-3/6 = -1/2 is the slope of the line.
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In the spinner below the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 6
mr_godi [17]

Answer:

A

Step-by-step explanation:

If we take each small section to be "1" unit, we can say the large sections (for "2" and "5") are "2" units each. So in total there will be 8 sections.

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P(5) = 2/8 = 1/4

And 6 is "1" section, so we can say:

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3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
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Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

Finding First term using eq(1)

a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

So, First term a₁ = 3/2 and common ratio r = 2

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4 boys have brown hair because 1/2 of 24 is 12 and 1/3 of 12 is 4
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