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joja [24]
3 years ago
15

The first five terms of a pattern are shown.

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

You might be interested in
Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0
3 years ago
The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your
seropon [69]

Answer:

Percent increase is 17.6%

We still have to pay 7.50 with the coupon

Step-by-step explanation:

Percent increase = (new- original)/original *100%

                             = (10-8.5)/8.5 * 100%

                             = 1.5/8.5 * 100%

                             = 17.6470588%

Round to the nearest tenth

                                 17.6%

This is an increase since the cost went up.

If we have 25% off, we still have to pay (100%-25%) = 75%

10 *.75 = 7.50

We still have to pay 7.50 with the coupon

6 0
3 years ago
Help me pleaseeeeeee
morpeh [17]

Answer:

A

Step-by-step explanation:

u move the decimal place left 2 spaces and u would get 0.024

3 0
2 years ago
Is 10/9 closer to 0 1/2 or 1
Viktor [21]
The answer is the number 1.
5 0
3 years ago
Please help!!! Due in 30 mins!!!
stiv31 [10]
It’s A. $25.20
You find the rate you dividing the cost ($18) by how many gallons (5). Then you multiply by what you are looking for (7 gallons). You get 25.20.
7 0
2 years ago
Read 2 more answers
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