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navik [9.2K]
3 years ago
14

What is a possible value for the missing term of the geometric sequence 1250 ___ 50

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
<h2>The possible value for the missing term of the geometric sequence = 250</h2>

Step-by-step explanation:

The given  geometric sequence:

1250, _______ ,50

Let x be the possible the missing term.

To find, the possible value for the missing term of the geometric sequence = ?

1250, x , 50

Here, first term(a_{1}) = 1250, second term(a_{2}) = x and

third term(a_{3}) = x

We know that,

∴ Common ratio (r) = \dfrac{a_{2}}{a_{1}} =\dfrac{a_{3}}{a_{2}}

\dfrac{x}{1250} =\dfrac{50}{x}

⇒ x × x = 50 × 1250

⇒ x^{2} = 62500

⇒ x = \sqrt{62500}

⇒ x = 250

∴ The possible value for the missing term of the geometric sequence = 250

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The data set represents the total number of pencils each student in a class needs to sharpen.
Firdavs [7]

Given:

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0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

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Divide each parenthesis in 2 equal parts.

(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)

Here,

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Third quartile = 6

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A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

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3 years ago
A cylinder has a base diameter of 12in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Anna35 [415]

Answer:

1922.7 cubic inches

Step-by-step explanation:

The volume of a cylinder can be found with this formula:

V=πr^2h

The radius, r, is half the diameter.

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r=6 inches

Then, just plug the numbers in.

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Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y
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Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

x\geq 0,y\geq 0

2x+3y\geq 15

3x+2y\geq 15

The related equations of above inequalities are

2x+3y=15

3x+2y=15

For 2x+3y=15,

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For 3x+2y=15,

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

2(0)+3(0)\geq 15\Rightarrow 0\geq 15 False

3(0)+2(0)\geq 15\Rightarrow 0\geq 15 False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

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(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

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3 years ago
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