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Black_prince [1.1K]
3 years ago
9

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values,

how many terms are in this geometric series
Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0

Answer:

There are 5 terms in the series.

Step-by-step explanation:

S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\

Take logs to get n = 5

aleksley [76]3 years ago
6 0

Answer:

5

Step-by-step explanation:

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Find the area of a trapezoid with bases 2ft and 3ft and height 1/3 foot. Round your answer to the nearest tenth
amid [387]

Answer:

Area = 5/6 of a foot^2

Step-by-step explanation:

Formula

Area of a trapezoid (formula) = 1/2 (b1 + b2)*h/2

Givens

  • b1 = 2 feet
  • b2 = 3 feet
  • h = 1/3 foot

Solution

Area = 1/2(2 + 3)*1/3

Area = 1/2(5)* 1/3

Area = (1/2 * 1/3) * 5

Area = (1/6) * 5

Area = 5/6


8 0
3 years ago
James had a large bag of raisins. He ate
Sergio039 [100]

Answer:

the movie theater is the only one I can find my favorite is on my bday for the s and the other is the same ones I used in my room for a few months now I'm not really going from here to get it out to anyone but

5 0
2 years ago
If an angle measuring 20 is bisected to form two new angles, what is the measure of each new angle
alexgriva [62]

Answer:

10 degrees

Step-by-step explanation:

Bisection means dividing into two equal parts

So, if we bisect an angle measuring 20 degrees

It will divide into 2 equal parts and:

=> 20/2 = 10 degrees

Two angles of 10 degrees will be formed.

4 0
2 years ago
Write the equation of the parallel line that passes through (0,-3)
Gemiola [76]

Answer:

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

Step-by-step explanation:

Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.

we can use the formula to find the equation of the line:

y-y1 = m (x-x1)

y1 - y coordinate of a point on the line

x1 - x coordinate of the same point on the line

m - slope

 

and we get:

y+3 = 1.2 (x-0)

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

5 0
3 years ago
Suppose that we roll a red and a black die. Let a = "the black die shows a 2 or a 5", b = "the sum of the two dice is at least 7
Novosadov [1.4K]

Answer: No, A and B are not independent events.

∵ it does not satisfy the rule of probability for independent events i.e.

P(A∩B)=P(A).P(B)

Explanation:

Let A be the event that  the black dice shows 2 or 5

Let B be the event that the sum of two dice is atleast 7

Sample space of A={(R_1,B_2)(R_2,B_2)(R_3,B_2)(R_4,B_2)((R_5,B_2),(R_6,B_2),(R_1,B_5),(R_2,B_5),(R_3,B_5),(R_4,B_5),(R_5,B_5),(R_6,B_5)}

Sample space of B= { (R_1,B_6),(R_2,B_5),(R_2,B_6),(R_3,B_4),(R_3,B_5),(R_3,B_6),,(R_4,B_3),(R_4,B_4),(R_4,B_5),(R_4,B_6),(R_5,B_2),(R_5,B_3),(R_5,B_4),(R_5,B_5), (R_5,B_6),(R_6,B_2),(R_6,B_3),(R_6,B_4),(R_6,B_5),(R_6,B_5)}

P(A)= \frac{\text{No.of favourable outcomes}}{\text{Total no.of observation}}

⇒P(A)=\frac{12}{36}

⇒P(A)=\frac{1}{3}

Similarly,

P(B)=\frac{20}{36}

⇒ P(B) =\frac{5}{9}

Now for Sample Space of (A∩B)= {(R_5,B_2)(R_6,B_2)(R_2,B_5)(R_3,B_5)(R_4,B_5)(R_5,B_5)(R_6,B_5)}

So, P(A∩B)= \frac{7}{36}

Now we apply the formula,

P(A).P(B)=P(A∩B)

\frac{1}{3}×\frac{5}{9} ≠ \frac{7}{36}

\frac{5}{27} ≠ \frac{7}{36}

∴ The events A and B are not independent events.




3 0
3 years ago
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