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3 years ago

15

a population of a certain city decreased from 240,000 in 1985 to 210,000 in 1995 what is the percentage decrease in the populati

on?

1 answer:

ELEN [110]3 years ago

3 0

Answer:

12.5% decrease.

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Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

yaroslaw [1]

Answer:

The value of x is:

$x=\dfrac{5\pm \sqrt{103}i}{8}$

Step-by-step explanation:

we have to use the quadratic formula to solve for x.

The equation is given as:

$4x^2-3x+9=2x+1$

which could also be written as:

$4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0$

The quadratic formula for the quadratic equation of the type:

$ax^2+bx+c=0$ is given as:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

a=4, b=-5 and c=8.

Hence, by the quadratic formula we have:

$x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}$

Hence, the value of x is:

$x=\dfrac{5\pm \sqrt{103}i}{8}$

8 0

3 years ago

Read 2 more answers

If the mass of a material is 49 grams and the volume of the material is 7 cm^3, what would the density of the material be?

inysia [295]

The equation for density is:
$density = \frac{mass}{volume}$

To help you remember - my teacher told us to remember "We <span>♡ density," and the heart stands for </span> $\frac{m}{v}$ , or $\frac{mass}{volume}$ . Cheesy, but it works!<span>
</span>
Back to the problem:
We know the mass if 49g and the volume is 7 $cm^{3}$ , so plug these values into the equation for density:
$density = \frac{mass}{volume}\\
density = \frac{49\:g}{7\:cm^{3}} \\
density = 7\:g/cm^{3}$

Answer: The density is 7 g/ $cm^{3}$

4 0

4 years ago

Your 3 nieces and 3 nephews (6 children total) are visiting for the holidays. You must give them each a present. They all love l

marusya05 [52]

Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.

There are 9 Lego kits available.

And the total number of children is 6.

That is, we need to select 6 Lego kits from the 9 available Lego kits.

6 Lego kits can be selected from the 9 available Lego kits in $9\choose 6$ ways.

Solving the combination as follows:

${9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84$

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.

4 0

3 years ago

What is the order from least to greatest?

kenny6666 [7]

Answer:

5/4, 1.3, 1 8/25

Step-by-step explanation:

5/4 is equal to 1 1/4, which is 1.25

1.3 is still 1.3

1 8/25 is equal to 1.32, which is sliglightly greater than 1.3

8 0

3 years ago

Read 2 more answers

-2m=7<br> whats the solution as a decimal

Allisa [31]

The only thing that you need to do is Divide -2 on both sides to isolate the M. so 7/-2 M=3.5

6 0

4 years ago