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ra1l [238]
3 years ago
6

What is the domain and range of f(x) = 3(4)^x

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Find the y-intercept by setting x = 0:  f(0) = 3(4)^0 = 3(1) = 3 => (0, 3)

4^x is never zero, and its graph is always above the y-axis, for both positive and negative x.  

Any real number is an acceptable x-value.

Thus the domain is (- infinity, infinity) and the range is (0, infinity).

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A snowcone cup at the country fair is 15 cm tall and has a diameter of 8 cm if the cup is full just the top what is the volume o
slavikrds [6]

Answer:

2827 cubic centimetre

Step-by-step explanation:

The cup is cylindrical in shape and it is full to the top.

The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius

h = height

The volume of the liquid in the cup is:

V = \pi * 15^2 * 4

V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre

3 0
3 years ago
A cheetah can run up to 75 miles per hour how many yards per minute is this
Nataly [62]
75 miles per hour means,
75 miles per 60 minutes.
And this makes 1.25 miles per 1 minute.
1 mile is 1760 yards.
So 1.25 miles is ;
1.25 * 1760 = 2200 yards.
Answer is 2200 yards per minute.
6 0
3 years ago
The value of x in this system of equations is 1.
andrezito [222]

Answer:

y = -x - 2

Step-by-step explanation:

Simplifying the equation of our line;

y - 1 = (x + 2)

y = x + 3

The slope of our line is 1

The slope of the perpendicular line(s) must be -1 (the product of slopes of two perpendicular lines = -1)

The line whose slope is -1 (from the choices) is the one whose equation is:

y = -x - 2

7 0
3 years ago
A rectangular pool has a length of 24 feet, a width of 12 feet, and a depth of 8 feet. What is the volume of the pool?
fenix001 [56]

Answer:

multiply opposite side and the answer is ready now because check your soulation

7 0
3 years ago
Tony and his brother have 20 thank you cards to write if they each write 2 per day how many days will it take them to finish
tatuchka [14]
It will take 10 days to write 20 thank you cards if you write 2 per day.

20/2=10
8 0
3 years ago
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