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myrzilka [38]
2 years ago
14

D(n)=-5(1/2)^n-1 what is the 3rd term in the sequence

Mathematics
1 answer:
Studentka2010 [4]2 years ago
7 0

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

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Write as a unit rate: Four notebooks for $2.50
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Answer:

B. $1.60 per notebook

Step-by-step explanation:

Because:

4 notebooks ÷ $2.50 (4 notebooks cost) = $1.60 per notebook

4 0
3 years ago
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2+x-(3-z); use x=6, and z=1​
Nataly_w [17]

Answer:

<h2>6</h2>

Step-by-step explanation:

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4 0
3 years ago
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Enter the equation of the circle described below.<br><br> Center (-1, 4), radius = √3
lorasvet [3.4K]
EQUATION OF A CIRCLE: (x-h)² + (y-k)² =r²


=  (x+1)² + (y-4)² =3
3 0
3 years ago
Please help, I need input on if I did this correctly and you just substitute.
kow [346]

The value of h(t) when t=\frac{15}{32} is 10.02.

Solution:

Given function h(t)=-16t^2+15t+6.5

To find the value of h(t) when t=\frac{15}{32}:

h(t)=-16t^2+15t+6.5

Substitute t=\frac{15}{32} in the given function.

$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5

            $=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5

Now multiply the common terms into inside the bracket.

           $=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

          $=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

        $=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}

        $=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}

        $=\frac{-225+450+416}{64}

       $=\frac{641}{64}

       = 10.02

$h\left(\frac{15}{32} \right)=10.02

Hence the value of h(t) when t=\frac{15}{32} is 10.02.

8 0
3 years ago
How to <br> Write <br> 3/9<br> in simplest form.
White raven [17]
To write it in simplest form, you must find a common factor.

In \frac{3}{9}, 3 is a factor of both 3 and 9

3÷3=1 and 9÷3=3

So \frac{3}{9} =  \frac{1}{3}

\frac{1}{3} is your answer in simplest form.
3 0
3 years ago
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