2 years ago

What is the equation of the line with the points (1, 4) and (5, 12)? 12

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

Answer:

y = 2x + 2

Hope you have a great day!

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

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2 years ago

H(n) = -2n² + 4; Find h(4) A.-28 B.68 C.28 D.-4

Elena L [17]

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

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The height, H,of a cylinder is 5 units less than 3 times the radius, R, which expression expresses the height of the cylinder in

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The answer is: [B]: " 3r − 5 " .
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H = 3r − 5
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