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2 years ago

14

Your teacher created a 2 g/L salt-water solution (solution A) and a 2.5 g/L salt-water solution (solution B), both in 500 mL of

water. Using the concentration equation, which solution is more concentrated? How do you know?

1 answer:

hjlf2 years ago

7 0

Answer:

Solution A

Step-by-step explanation:

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I need help with the equation (11) - 2.

nirvana33 [79]

Answer:

it's technically 9 because it's the same as 11-2

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3 years ago

Find c<br> <img src="https://tex.z-dn.net/?f=a%2Ba%3D10%5C%5Ca%2Bb%3D35%5C%5Cb-z%3D5%5C%5Cz%2Ba%2Bb%2Bc%3D%2010" id="TexFormula1

marin [14]

C=-50 a=5 b=30 z=25

25+5+30+(-50)=10

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2 years ago

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Einstein Office Equipment has a rental plan for office machines. A fax machine that lists for $722.98 can be rented for 22% of t

Archy [21]

Answer:

$13.68

Step-by-step explanation:

Assuming they rent for 1 year, the cost is broken down as follows:

Annual renting cost = 22% of 722.98 = $\frac{22}{100}*722.98=0.22*722.98=159.06$

Usage charge = 3.2% of 159.06 = $\frac{3.2}{100}*159.06=0.032*159.06=5.09$

Thus,

Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15

Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):

$\frac{164.15}{12}=13.68$ dollars

6 0

2 years ago

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Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers

19. Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withdrawals. What will Heather’s

denis-greek [22]

Answer:

$\$5,828.28$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=5\ years\\ P=\$4,900\\ r=0.035\\n=2$

substitute in the formula above

$A=\$4,900(1+\frac{0.035}{2})^{2*5}$

$A=\$4,900(1.0175)^{10}=\$5,828.28$

5 0

2 years ago