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kondaur [170]
3 years ago
10

Enter the explicit rule for the geometric sequence. 14,12,1,2,4,…

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

an = 2^{n-3}

Step-by-step explanation:

Explicit rule for Geometric series is given by

a_n = ar^{n-1}

Here a is the first term and r is the common ratio.

in our question  first term a = \frac{1}{4}

common ratio r = 2

therefore explicit rule an = \frac{1}{4} 2^{n-1}

                                 or

                              an=    2^{n-3}

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Select the correct location on the coordinate plane. Ruhana owns a workshop where her team of technicians refurbishes TV sets an
yarga [219]

Answer:

Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

so we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from  we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players  .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

7 0
3 years ago
Question within image.
julia-pushkina [17]

1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram

2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees

6 0
3 years ago
Can someone help me :(
k0ka [10]

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25

4 0
3 years ago
Answer 1,2 and 3 and challenge thank you
Nadusha1986 [10]
NUMBER 2 is 240 because 6 times 4 times 10 is equal to 240. I am still working on the others
7 0
3 years ago
Someone plzzzzzz!!!!!
Alex777 [14]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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