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2 years ago

Acetone (nail polish remover) has a density of 0.7857 g/cm3. What is the mass, in grams, of 28.58mL of acetone?

1 answer:

5 0

D = 0.7857 g/cm³
V = 28.58 mL
m = ?
d = m / V
m = d · V
V = 28.58 mL = 28.58 cm³
m = 0.7857 g/cm³ · 28.58 cm³
m = 22.4553 g

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What is the average value of latex: y=\tan\left(\frac{x^2}{9}\right) y = tan ⁡ ( x 2 9 ) on the closed interval [1.25, 2]?

german

For this case we have the following function:
$f(x) = tan(\frac{x^2}{9})$
The average rate of change is given by:
$AVR = \frac{f(x2) - f(x1)}{x2- x1}$
Evaluating the function for the given interval we have:
For x = 1.25:
$f(1.25) = tan(\frac{1.25^2}{9})$
$f(1.25) = 0.18$
For x = 2:
$f(2) = tan(\frac{2^2}{9})$
$f(2) = 0.48$
Then, replacing values we have:
$AVR = \frac{0.48 - 0.18}{2 - 1.25}$
$AVR = 0.4$
Answer:
the average value of on the closed interval [1.25, 2] is:
$AVR = 0.4$

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2 years ago

Identify the slope and the y-intercept of the line with the given equation:<br> y = 7x-5

svetlana [45]

Answer:

Slope = 7

Y intercept = (0,-5)

7 0

2 years ago

Which table represents a nonlinear function?

Setler [38]

Answer:

Step-by-step explanation:

Nonlinear would be any function where both values are not changing by some fixed amount. In B, f(x) increases by 1 for every time x increases by 1 so that's linear. For C, f(x) increases by 2 for every time x increases by 1, so that's linear. For D, f(x) increases by 3 for every time x increases by 1 so that's also linear. For A, f(x) does not always change by the same amount, so it's nonlinear.

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2 years ago

Angle Sum Theorem. y = ?

salantis [7]

Answer:

90°

Step-by-step explanation:

Interior angles of ALL triangles sum to 180°

The whole large triangle has angles 60 60 60 ( they sum to 180)

that means x = 30

then the small triangle on the right has 60 + 30 + y = 180

meaning y = 90 °

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8 months ago

What is the value of x?<br><br> pls help me

pav-90 [236]

Answer:

√306

Step-by-step explanation:

→ Work out the height of the triangle

14 - 5 = 9

→ Use Pythagoras theorem

√15² + 9²

→ Simplify

√306

3 0

2 years ago