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Firdavs [7]
2 years ago
13

Which represents the inverse of the function f(x) = 4X?

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0
Answer: f(x) = x/4

Steps:

f(x) = 4x

y = 4x

(Change x and y)

x = 4y

(Solve for y)

x/4 = y

(Change to f(x))

f(x) = x/4
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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of  water >height of glass.

#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0
3 years ago
2) PLS HELP ASAP!!!
Oksi-84 [34.3K]

Answer:

Last one:  Symmetric with respect to the y-axis

Step-by-step explanation:

About the Y-AXIS

because  think about using a few points  x = -2, x = -1 , x = 1, x = 2

notice that  2*(-2)^4  =  2 *(2)^4

and 2*(-1)^4 = 2*(1)^4

8 0
2 years ago
Define and compare radian measure to degree measure
Lelechka [254]
Radian: is the standard unit of angular measure, used in many areas of mathmatics.
degree: is a measuement of plane angle, defined by representing a full rotation as 360 degrees.

Both are two units for measuring angles. There are at least four such units, but degrees and radians are most likely to encounter high school and college.
7 0
3 years ago
Exercise 59 use the table to evaluate the given expressions
Arlecino [84]

Answer:  f(0) = 5.5     f(2) = 3.7

<u>Step-by-step explanation:</u>

\begin {array}{c|c|c|c|c|c}x&0&1&2&3&4\\ f(x)&5.5&4.3&3.7&2.5&1.9\\\end{array}


When x = 0, f(x) = 5.5   <em>In other words, f(0) = 5.5</em>

When x = 2, f(x) = 3.7   <em>In other words, f(2) = 3.7</em>

5 0
2 years ago
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.
QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20  - 15 )inches

Now:

P(X ≤ 5) = \dfrac{5}{20}

= 0.25

P(X ≥ 15) = \dfrac{5}{20}

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

 = 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0
2 years ago
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