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ira [324]
2 years ago
12

Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Mathematics
2 answers:
krok68 [10]2 years ago
6 0

e^c=2

Step-by-step explanation:

ololo11 [35]2 years ago
5 0
1. To solve this problem, you need to remember that an exponential function has the following form:

 f(x)=a^x

 "a" is the base and "x" is the exponent.

 2. It is important to know that the logarithmic functions  and the exponential functions are inverse. Then, you have:

 c=ln2
 e^c=e^(ln2)
 e^c=2

 3. Therefore, the answer is:

 e^c=2
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A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P
puteri [66]

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x  (adj side) we have:

tan 41 = opp/adj

tan 41 = 1450/x

x = 1450 / tan 41

= 1668.03

5 0
2 years ago
If the passes through points (-4,-6) and ( 2 ,6), the rate of change of the line is equal to
Delvig [45]

Answer:

2

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(6 + 6) / (2 + 4)

12/6

= 2

So, the rate of change is 2

6 0
3 years ago
Colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the num
Oksanka [162]

Answer:

3) y = 50 * 2¹²ˣ

2) y = 80 * 2⁸ˣ

Step-by-step explanation:

1 day = 24 hours

Number of 2-hour periods in 1 day = 24 ÷ 2 = 12

Number of 3-hour periods in 1 day = 24 ÷ 3 = 8

Colby's experiment:

y = 50 * 2¹²ˣ

Jaquan's experiment:

y = 80 * 2⁸ˣ

5 0
2 years ago
Find the missing probability. P(A)=7/20,P(A∪B)=191/400,P(A∩B)=49/400 ,P(B)=? A. 7/8 B. 1/4 C. 117/400 D. 19/40
spin [16.1K]

Answer:

B

Step-by-step explanation:

P(AUB)=P(A)+P(B)-P(A∩B)

191/400=7/20+P(B)-49/400

P(B)=191/400+49/400-7/20=240/400-7/20=12/20-7/20=5/20=1/4

8 0
2 years ago
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
scZoUnD [109]

Step-by-step explanation:

Hey there!

Given;

Radius of a circle (r) = 7cm

Now;

We know that;

Area of circle (a) = π*(r^2)

= 3.14*(7^2)

= 3.14*49

= 153.86 cm^2

Therefore, the area of a circle is 153.86 cm^2.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
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