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4 years ago

How are linear equations and linear inequality similar and different?

Mathematics

1 answer:

scoray [572]4 years ago

7 0

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

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The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.

Art [367]

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

$A =23.1e^{0.0152t}$

Solving (a): Population in 2000.

This implies that

$t = 2000 - 2000$

$t = 0$

So, we have:

$A =23.1e^{0.0152t}$

$A =23.1e^{0.0152*0}$

$A =23.1e^{0}$

Solve the exponent

$A =23.1*1$

$A =23.1$

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

$A =28.3$

So, we have:

$A =23.1e^{0.0152t}$

$28.3 = 23.1e^{0.0152t}$

Divide both sides by 23.1

$1.225 = e^{0.0152t}$

Take natural logarithm of both sides

$ln\ 1.225 = ln(e^{0.0152t})$

Rewrite as:

$ln\ 1.225 = 0.0152t\ ln(e)$

$ln(e) = 1$

So:

$ln\ 1.225 = 0.0152t*1$

$ln\ 1.225 = 0.0152t$

Make t the subject

$t = \frac{ln\ 1.225}{0.0152}$

$t = \frac{0.2029}{0.0152}$

$t \approx 13$

Add the value of t to 2013 to get the actual year

$Year = 2000 +13$

$Year = 2013$

It will reach 28.3 million in 2013

6 0

3 years ago

One piece of leftover plywood is 0.75 inches thick, 3 feet wide, and 7 feet long estimate the approximate surface area of two st

Harrizon [31]

Answer:

111.6ft^2 for the two stacks

Step-by-step explanation:

0.75inch × 11 = 8.25 inches

8.25 inches = 0.69ft

Here dimensions are 3 ft. Wide, and 7 ft. Long and height of stack = 0.69ft

Surface area of one stack =

2*(LW+WH+LH)

= 2*(7*3 +3*0.69+7*0.69)

= 55.8 ft^2

Multiply by 2 to to get surface area of 2 stacks separately

55.8 × 2 = 111.6ft^2

5 0

4 years ago

Read 2 more answers

Need help with this quick.

Orlov [11]

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

<h3>What is Trapezium?</h3>

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are: