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Zigmanuir [339]
3 years ago
8

Evaluate the expression below when h=13h=13 and j=3j=3

Mathematics
1 answer:
elixir [45]3 years ago
8 0
2(3)+3(13)= 45 if j=3 and h=13 you need to plug those numbers in where the letters are
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What is the recursive rule for this geometric sequence? 2,1/2,1/8,1/32
Lapatulllka [165]
For the given sequence, we can note that:
when we multiply a previous term by 1/4, we get the next term where:
2 * 1/4 = 1/2
1/2 * 1/4 = 1/8
1/8 * 1/4 = 1/32

Therefore, we can say that our sequencer here (r) is equal to 1/4

The general formula to represent this sequence is:
an = a1 * r^(n-1) where :
an represent the nth term that we want to find
a1 represents the first term in the sequence = 2
r is the sequencer = 1/4
n represents the order of the term in the sequence

Based on the above, the equation will be:
an = 2 * (1/4)^(n-1)
5 0
3 years ago
Read 2 more answers
GRAVITATION The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial vel
zhuklara [117]
<h3>Option B</h3><h3>At 2 second and 1.75 second, the object be at a height of 56 feet</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial velocity of 60 feet per second is modeled by the equation:</u></em>

h(t) = -16t^2 + 60t

<em><u>At what times will the object be at a height of 56 feet</u></em>

<em><u>Substitute h = 56</u></em>

56 = -16t^2 + 60t\\\\16t^2 - 60t + 56 = 0\\\\Divide\ the\ equation\ by\ 4\\\\4t^2 - 15t + 14=0

Solve the above equation by quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=4,\:b=-15,\:c=14\\\\x =\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\cdot \:4\cdot \:14}}{2\cdot \:4}\\\\Simplify\\\\x = \frac{15 \pm \sqrt{1}}{8}\\\\x = \frac{15 \pm 1}{8}\\\\We\ have\ two\ solutions\\\\x = \frac{15+1}{8} \text{ and } x = \frac{15-1}{8}\\\\x = 2 \text{ and } 1.75

Thus, at 2 second and 1.75 second, the object be at a height of 56 feet

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4 years ago
. Does the table represent y as a function as x? 
arlik [135]
The answer to the question is B.
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DVDs cost $5 each. How many can you buy with $156?
Maru [420]

Answer:

31 DVDs

Step-by-step explanation:

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