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katrin2010 [14]
3 years ago
6

Find the x-intercept of the function: f(x) = 6^x - 2. Round answer to the nearest hundredth, if necessary.

Mathematics
2 answers:
ipn [44]3 years ago
7 0

Answer:

x = log base 4 of 2

Step-by-step explanation:

I'm assuming this is truly an exponential function as you state and not a mistype.

kolbaska11 [484]3 years ago
7 0

6^x = 2

Take the log of each side:

x · log(6) = log(2)

Divide each side by log(6):

x = log(2) / log(6)

x = 0.30103 / 0.77815

<em>x = 0.3869...</em> (rounded)

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A rectangular block of copper metal mass is 1896 g. The dimensions of the points
vagabundo [1.1K]

Answer:

8.921513269...g/cm

Step-by-step explanation:

the density has this formula: D= m/V

so to solve the V, which refers to volume, you do: 8.4×5.5×4.6= 212.52, and the m, which refers to mass, you already have it. So the last thing to do is:

D= 1896g/212.52= 8.921513269...g/cm

I hope I've been helpful... good luck...!!!

8 0
4 years ago
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel
sashaice [31]

Answer:

P = 1/2

Step-by-step explanation:

If the tourist spends more than 275$, they must not arrive in Chicago by bus.

( 150 + 60 < 275, 150 + 40 < 275)

The total options the tourist can make:

3 x 2 = 6

(1st leg: 3 possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding bus option:

2 x 2 = 4

(1st leg: 2 remaining possible options, 2nd leg: 2 possible options)

The number of options the tourist can make after excluding the bus option and spend more than 275$:

4 - 1 = 3

(excluding the case of selecting train and cab, because 225 + 40 < 275)

=> The probability that the tourist will spend more than 275$ on these 2 legs of the trip:

P = 3/6 = 1/2

3 0
3 years ago
3. Write out the prime factor of the following numbers.<br> a. 15<br> b. 21<br> C. 38<br> d. 42
Minchanka [31]

Answer:

The prime factors of 15 are: 1,3,5,15

The prime factors of 21 are: 1,3,7,21

The prime factors of 38 are: 1,3,13,39

The prime factor of 42 is : 1,2,3,6,7,14,21,42

6 0
3 years ago
HELP! Evaluate.<br><br> 45 + 22 ÷ 11 • {[(60 – 15) • 60] + 25}
siniylev [52]

Step-by-step explanation: [(60 – 15) • 60] + 25} = 45.60 +25

=2725

45 + 22 ÷ 11. 2725

45 + 2 . 2725

45+ 5450  

=5495

4 0
3 years ago
The product of two consecutive square numbers is 144. Work out the two numbers
Sergio [31]

Let the first number be = x

Let the second number which is consecutive be = x+1

As given, the product of two consecutive square numbers is 144

x^{2}*(x+1)^{2}=144

Square rooting both sides we get

x(x+1)=12

x^{2}+x=12

x^{2}+x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

x=3 or x=-4

Neglect the negative value so we get x=3

Hence, one number is 3 and the consecutive number is = 3+1=4

The square of the numbers are 9 and 16.

6 0
3 years ago
Read 2 more answers
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