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Viefleur [7K]
4 years ago
8

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

e Example 9.
log3 1/2
Mathematics
1 answer:
Slav-nsk [51]4 years ago
5 0

Answer:

-0.6309

Step-by-step explanation:

Using the change of base formula,

Log 1/2 to base 3 = Log1/2 ÷ Log 3 = Log 0.5 ÷ Log 3

Log 0.5 = -0.3010

Log3 = 0.4771

Log 0.5 ÷ Log 3 = -0.3010 ÷ 0.4771 = -0.6309

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Find the area of a sector with a central angle of 2pi/15 and a radius of 18.8 m
jolli1 [7]
We know that
[Area of a circumference]=pi*r²
for r=18.8 m
Area=pi*18.8²=1109.80 m²

if the area for 2pi radians (full circumference) is --------------> 1109.80 m²
                  for 2pi/15----------------------------------> X
X=(2pi/15)*1109.80/2pi----------> 73.99 

the answer is 73.99 m²

6 0
4 years ago
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What is the translated equation of two less than four times the number of tickets
dolphi86 [110]

Answer:

2 - 4 x t

Step-by-step explanation:

8 0
3 years ago
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(18)Calculate the volume of this shape
Nikolay [14]

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

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5 0
3 years ago
Which function can be used to find the number of cells of bacteria in the population at time t
Nonamiya [84]

Answer:

db / dt = kb  

this becomes b(t) = Ce^(kt)  

C = 100, the initial population  

P(1) = 420 = 100 e^(1k)  

4.2 = e^k  

ln 4.2 = k  

a) thus, b(t) = 100 e^(t ln 4.2)  

b) b(3) = 100 e^(3 ln 4.2)  

c) growth constant will still be ln 4.2 (constant percentage of populatioin)  

d) 10000 = 100 e^(t ln 4.2)  

100 = e^(t ln 4.2)  

ln 100 = t ln 4.2  

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Step-by-step explanation:

6 0
3 years ago
Please help meee and show all steps please!!!ty
kolbaska11 [484]

Answer:

x = -4 and x = 5

Step-by-step explanation:

Since x^2 + 2x and 3x + 20 both equal to y, we know that the expressions equal to each other. We can write a new equation base on that.

x^2 + 2x = 3x + 20

Now we solve the equation.

x^2 + 2x = 3x + 20

x^2 - x = 20

x^2 - x - 20 = 0

(x + 4) (x - 5) = 0

x + 4 = 0 ; x -5 = 0

x = -4 ; x = 5

3 0
3 years ago
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