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3 years ago

Calculate the density of a block of metal with a volume of 12.5 cm3 and mass of 126.0 g

Mathematics

1 answer:

WITCHER [35]3 years ago

8 0

Answer:

Gave the answer in chemistry section)

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7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

7 0

3 years ago

Use long division to find the quotient below. (x2 + 3x - 18) + (x-3)

Vanyuwa [196]

Answer:

6x-21

Step-by-step explanation:

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3 years ago

Dustin polled 127 drivers late on a Friday night.

Maslowich

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

B>13/9 interval notation

BartSMP [9]

Interval Notation of b > 13/9 is [13/9, infinity)

3 0

3 years ago

How do I complete this question on arc length?

tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

$C=2\pi r$ [set r = 1.5 m]

⇒ $C=2\pi (1.5)$

⇒ $C=3\pi$ m

One revolution of the water wheel corresponds to $3\pi$ meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

$15(3\pi )$ = $45\pi$ $m$ /min

Using this result, the speed of the river in kilometers per hour will be:

$v=\frac{45\pi m }{1 min}$ × $\frac{1 km}{1000 m}$ × $\frac{60 min}{1 h}$

⇒ $v=8.48230016469$ $km/h$

⇒ $v$ ≈ $8.5$ km/h

5 0

2 years ago

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Calculate the density of a block of metal with a volume of 12.5 cm3 and mass of 126.0 g​

Calculate the density of a block of metal with a volume of 12.5 cm3 and mass of 126.0 g