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Ludmilka [50]
3 years ago
11

Please help!!!

Mathematics
1 answer:
VikaD [51]3 years ago
3 0
A) Volume of a cube is found by multiplying its side by itself twice.

V = a³
V = 4³ = 4 * 4 * 4
V = 64 ft³

b) 1 cubic foot = 7.48 gallons of water.
total gallons of water = 64 ft³ x 7.48 gallons = 478.72 or 479 gallons rounded up to the nearest gallon.
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Sin x = - 1/2<br> where (-360 &lt; x &lt; 360)
dimulka [17.4K]

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

3 0
3 years ago
The number 6 is a solution to which of the following inequalities?
Paladinen [302]

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

8 0
3 years ago
2. When completing a problem that deals with American currency, which number would not be an appropriate answer?
k0ka [10]
The answer is $5.935560
6 0
3 years ago
A taxi charges a base fee plus $0.75/km.
Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

  • A taxi charges a base fee plus $0.75/km.
  • A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

  changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
Given the function f(x) = x - 10, what is the corresponding value when x = -12? *
Dahasolnce [82]

Answer:

-22

Step-by-step explanation:

-12 - 10 = -22

4 0
2 years ago
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