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podryga [215]
3 years ago
9

Write an equation for the translation of y = |x|. 5.5 units right

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0
The last one y = | x-5.5 |
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Determine x in the figure.<br> 74°<br> 2xº
Monica [59]

Answer:

-37

Step-by-step explanation:

Simplifying

74 + 2x = 0

Solving

74 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-74' to each side of the equation.

74 + -74 + 2x = 0 + -74

Combine like terms: 74 + -74 = 0

0 + 2x = 0 + -74

2x = 0 + -74

Combine like terms: 0 + -74 = -74

2x = -74

Divide each side by '2'.

x = -37

Simplifying

x = -37

6 0
2 years ago
How do i convert from degrees to radians in terms of pi?
Alex787 [66]

Answer:

Formula  

1° × π/180 = 0.01745rad

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A tank contains 10 liters of pure water. Saline solution with a variable concentration 5 grams of salt per liter is pumped into
algol [13]

Answer:

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

Step-by-step explanation:

The mass flow rate dQ(t)/dt = mass flowing in - mass flowing out

Since 5 g/L of salt is pumped in at a rate of 4 L/min, the mass flow in is thus 5 g/L × 4 L/min = 20 g/min.

Let Q(t) be the mass present at any time, t. The concentration at any time ,t is thus Q(t)/volume = Q(t)/10. Since water drains at a rate of 4 L/min, the mass flow out is thus, Q(t)/10 g/L × 4 L/min = 2Q(t)/5 g/min.

So, dQ(t)/dt = mass flowing in - mass flowing out

dQ(t)/dt = 20 g/min - 2Q(t)/5 g/min

Since the salt just begins to be pumped in, the initial mass of salt in the tank is zero. So Q(0) = 0

So, the initial value problem is thus

dQ(t)/dt = 20 - 2Q(t)/5 , Q(0) = 0

3 0
2 years ago
There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0
3 years ago
How much do you need to subtract from 41/6 to get 6
Svetllana [295]
Well 41 divided by 6 is 6.8333333333333 so you just need to subtract .833333333333

I hope this answered your question
3 0
3 years ago
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