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Leviafan [203]
2 years ago
6

What is a formula for the nth term of the given sequence? 15,75,375​

Mathematics
1 answer:
spin [16.1K]2 years ago
7 0

Answer:

3 × 5 ^ n

Step-by-step explanation:

since the series is exponential, the ratio between adjacent terms is 5.

nth term of geometric/exponential series is given by:

nth term = first term × (ratio)^(n-1)

= 15 × 5^ (n-1)

= 15 × 5^n × 5^-1

= 3× 5^n

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What is the distance around a triangle that has sides measuring 21/8 feet, 31/2 feet and 21/2 feet?
sleet_krkn [62]
Add all of the sides together. Make sure to use a common denominator because you are adding fractions. Don't forget your unit label (feet)
\frac{21}{8} + \frac{31}{2} + \frac{21}{2}
\frac{21}{8} + \frac{124}{8} + \frac{84}{8}
\frac{229}{8} feet

5 0
3 years ago
Can somebody please help with this?
Kay [80]

Answer:

  A.  2.9π(9²)

Step-by-step explanation:

You are expected to know that the area of a circle is given by the formula ...

  A = πr²

and that r in the formula represents the radius of the circle, half the diameter.

The area of the circular base of the cylinder is the area of a circle with a radius of 9 feet. It will be ...

  A = π(9²)

When that is multiplied by the height of the cylinder to find its volume, you have ...

  V = Bh

  V = (π(9²))(2.9)

This can be rearranged to match the form in answer choice A:

  2.9π(9)²

7 0
2 years ago
If ABCDE is reflected over the x-axis and then translated 3 units left, what are
zaharov [31]

Answer:

(1, - 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

B(4, 2 ) → (4, - 2 )

A translation of 3 units left means subtract 3 from the x- coordinate of the point.

(4, - 2 ) → (4 - 3, - 2 ) → (1, - 2 )

4 0
2 years ago
A rectangular room is 27 feet wide by 17 feet long whats the parameter?​
Arisa [49]

Answer:

88 feet

Step-by-step explanation:

<u>Formula for perimeter of rectangle: 2a + 2b</u>

2(27) + 2(17)

88

Answer:  88 feet

5 0
3 years ago
Angie and Eric have opened a jumbo bag of candies and counted the number of each color. They have 100 red, 180 green, 90 yellow,
7nadin3 [17]

Answer:

26 times.

Step-by-step explanation:

Total number of candies = 500.

Probability ( Angie drawing a brown candy) = 130/500  = 13/50.

Probability (Eric drawing a red candy) = 100/500 = 1/5.

So Probability ( Angie drawing brown then Eric drawing a red) = 13/50 * 1/5

= 13/250.

Therefore the expectation  of the number of times this will happen

= Probability * total number of draws

=  (13/250) * 500

= 13 * 2

=  26 times.

8 0
3 years ago
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