the answer is C. x ≥ 8.00 and x < 9.50
proof
x ≥ 8.00 is equivalent to 8.00 ≤ x, and we have also x < 9.50
so x ≥ 8.00 and x < 9.50 or 8.00 ≤ x < 9.50

10 0

3 years ago

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Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o

olga_2 [115]

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

6 0

3 years ago

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

Marizza181 [45]

Answer:

$a_n = -2 + n$ is an expression which describe the given sequence

Step-by-step explanation:

Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.

The general rule for the arithmetic sequence is given by;

$a_n =a_1+(n-1)d$ ......[1]

where

$a_1$ represents the first term

d represents the common difference

and n is the number of terms;

Given sequence: -1 , 0 , 1 , 2 , .....

This is an arithmetic sequence with common difference

Since,

0-(-1) = 1

1-0 =1

2-1 = 1 ....

Here, $a_1 = -1$

Substitute the value of $a_1 = -1$ , d =1 in [1] we get

$a_n = -1 +(n-1)(1)$

$a_n = -1 + n -1 = -2 +n$

Therefore,an expression which describe the given sequence is, $a_n = -2 + n$

6 0

3 years ago

What is the relationship between the ratios? 5/8 and 8/10 Drag and drop to complete the statement.

Lubov Fominskaja [6]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $\frac{p}{q}$ and $\frac{x}{y}$ .

We say they are proportional if $p : q = x : y$ .

Or, if $py = qx$ then we can say the fractions are proportional.

Here the fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

6 0

3 years ago