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Dominik [7]
3 years ago
12

What is the value of the natural logarithm when x=3?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
5 0
F(x)=In(x)
f(3)=In(3)= 1.099

telo118 [61]3 years ago
4 0

Answer:

Step-by-step explanation:

f(x)=ln(x)\\f(3)=ln(3) = 1.099

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What is the remainder of (x^3-6x^2-9x+3)/(x-3)
marta [7]
Thw answer is -51
Found through long division

7 0
3 years ago
The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x. A) 20 Eliminate B) 30 C) 40 D) 50
statuscvo [17]

Answer:


Step-by-step explanation:

2x+3x+4x=180

8x=180

divide by 8 to both sides

x=22.5

6 0
3 years ago
Read 2 more answers
Find the least common denominator (LCD) of 7/9 and 5/6
AnnZ [28]

Answer: 18

Step-by-step explanation:

        The least common denominator of \frac{7}{9} and \frac{5}{6} is going to be a multiple of 9 and 6. Let us list them out:

9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

8 0
2 years ago
Anyone wanna help a high school student out?
qwelly [4]
The answer is B, because all 4 sides should be equal on a rhombus.
7 0
3 years ago
A police helicopter is flying at 150 mph at a constant altitude of 0.5 mile above a straight road. The pilot uses radar to deter
natali 33 [55]

Answer:

a) (see attached picture)

b) d, h, velocity of helicopter, dd/dt

in the direction oposite to the movement of the helicopter.

Step-by-step explanation:

In order to solve this problem we must start by drawing a diagram that will represent the situation (see attached picture). As you may see, there is a right triangle being formed by the helicopter, the car and the graound. We can use this to build the equation we are going to use to model the problem.

d^{2}=h^{2}+x^{2}

we can use this equation to find the value of x at that very time, so we can do that by solving the equation for x, so we get:

x=\sqrt{d^{2}-h^{2}}

and substitute the given values:

x=\sqrt{(1)^{2}-(0.5)^{2}}

which yields:

x=0.866mi

we know that the height of the helicopter is going to be constant, so we rewrite the equation as:

d^{2}=(0.5)^{2}+x^{2}

d^{2}=0.25+x^{2}

Next, we can go ahead and differentiate the equation so we get:

2d\frac{dd}{dt}=2x\frac{dx}{dt}

which can be simplified to:

d\frac{dd}{dt}=x\frac{dx}{dt}

we can next solve the equation for dx/dt so we get:

\frac{dx}{dt}=\frac{d}{x}*\frac{dd}{dt}

so we can now substitue te provided values so we get:

\frac{dx}{dt}=\frac{1}{0.866}*-190

so we get:

\frac{dx}{dt}=-219.40mph

the negative sign means that the x-value is decreasing.

now, this problem deals with relative velocities, so we get that:

Velocity of car about the helicopter = Velocity of the car - Velocity of the helicopter. Or:

V_{ch}=V_{c}-V_{h}

so we can solve this for the actual velocity of the car, so we get:

V_{c}=V_{ch}+V_{h}

so we get:

V_{c}=-219.40mph+150mph

which yields:

V_{c}=-69.4mph

So it has a velocity of 69.4mph in a direction oposite to the helicopter's movement.

4 0
3 years ago
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