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2 years ago

Mr. Carter’s car has an 18-gallon gas tank. How much money will he spend to fill up his tank if gas costs $2.35 per gallon?

Mathematics

1 answer:

Elan Coil [88]2 years ago

5 0

Answer:

18 x $2.35= $42.30

Step-by-step explanation:

multiply gallon by price of gas

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when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of i

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Greater because a centimeter is smaller than an inch.

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Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create

anastassius [24]

Pattern is the rule that guides the formation of a set.

The sequence of the first five mosaics is 5, 8, 11, 14, 17
The sequence is arithmetic
There are 32 tiles in the tenth mosaic.

From the given design, the number of tiles used is:

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

$T_4 = T_3 + 3 = 11 +3 = 14$

$T_5 = T_4 + 3 = 14 +3 = 17$

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

(b) The type of sequence

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

(c) The number of tiles in the tenth mosaic

The nth term of an arithmetic sequence is:

$T_n = T_1 + (n - 1) \times d$

In this case:

$T_1 = 5$

$d =3$

$n = 10$

So, we have:

$T_{10} = 5 + (10 - 1) \times 3$

$T_{10} = 5 + 9 \times 3$

$T_{10} = 5 + 27$

$T_{10} = 32$

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

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2 years ago

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2 years ago

Read 2 more answers

For which of the following integrands will the table method for parts produce an antiderivative?

Sonja [21]

Answer:

x³ sin(x)

Step-by-step explanation:

Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.

The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:

d/dx (x³) = 3x²

d/dx (3x²) = 6x

d/dx (6x) = 6

d/dx (6) = 0