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skelet666 [1.2K]
2 years ago
7

What is the range of the function y=e^4x? y<0 y>0 y<4 y>4

Mathematics
2 answers:
Oliga [24]2 years ago
7 0

We have been given the function y=e^{4x}

We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

y=e^{4x}\\\ln y = \ln (e^{4x})\\\ln y =4x\\x=\frac{1}{4}\ln y

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.

Therefore, the range of the function is given by y>0

B is the correct option.

nirvana33 [79]2 years ago
7 0
This exponential function is increasing .

Whatever the value of x, y is always positive. So the range of y is all value greater than 0==> y>0
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Help me out please!! will give out brainliest to first *correct answer!
Mkey [24]

Answer:

1

Step-by-step explanation:

go to -4 on the x axis. it corresponds with 1 on the y axis.

4 0
2 years ago
A stack of bricks is 3 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?
Arisa [49]
We have to divide 3 1/2 by 1 3/4:
3 1/2 : 1 3/4 = 7/2 : 7/4 = 7/2 * 4/7 = 2
Answer:
A ) 2 bricks are in the stack. 
8 0
2 years ago
Find the molar mass in grams of <br> CaSO4 * 2H20<br> grams
adoni [48]

Answer:

172 g/mol

Step-by-step explanation:

CaSO4 . 2H2O

Atomic mass of

Ca = 40

S = 32

O = 16

H = 1

Molar mass = 40 + 32 + (16×4) + 2{(1×2)+16}

= 72 + 64 + 2(18)

= 136 + 36

= 172 g/mol

4 0
3 years ago
Calculate the area of the square shown below (HARD)
sergey [27]
Check the picture below.

recall that in a square, all sides are equal, so if we make b = a, then we get that for one side, also recall that the area of a rectangle is length*width, so in this case,

\bf \stackrel{\textit{area of the square}}{\stackrel{length}{5\sqrt{2}}\cdot \stackrel{width}{5\sqrt{2}}}\implies 25(\sqrt{2})^2\implies 25\cdot 2\implies 50

7 0
2 years ago
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
alexira [117]

Answer:

Right, I am an idiot so i might be wrong

Step-by-step explanation:

Every triangle has three angles which sum to 180 degrees.

There are three types of triangles based on the measures of its angles.

Right Triangle - Has one 90 degree angle

Acute Triangle - All angles less than 90 degrees

Obtuse Triangle - One angle greater than 90 degrees

In this example we are given 2 angles and must find the measure of the 3rd.

a + 56 + 34 = 180

a + 90 = 180

a = 90

Therefore, it is a Right Triangle.

8 0
3 years ago
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