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Lyrx [107]
3 years ago
12

What equations is equivalent to y = log x

Mathematics
1 answer:
saw5 [17]3 years ago
4 0

"log" standing alone actually means "logarithm to the base 10."


Thus, y = log x   <=>   y = log      x
                                               10
                                                                           y
 Stated another way (inverse functions), x = 10
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15Points!!<br> Factor completely.<br><br><br> 12x² +28x
Zigmanuir [339]

Answer:

4x(3x+7)

Step-by-step explanation:

12x^2+28x\\12xx+28x\\\\4\cdot \:3xx+4\cdot \:7x\\4x\left(3x+7\right)

4 0
2 years ago
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
Alex needs 2.5 yards of fabric to make a costume for homecoming .how many inches of fabric does he need?
zzz [600]

2.5*36=90 inches

Alex need 90 inches of fabric to make a costume for homecoming.

6 0
3 years ago
A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval o
aleksklad [387]

Answer:

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

Step-by-step explanation:

Given that there is a  continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers

Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely

Say if the interval is (a,b) P(X) = p the same for all places

Since total probability is 1,

we get integral of P(X)=p(b-a) =1

Or p= \frac{1}{b-a}

this is nothing but a uniform distribution continuous defined in the interval

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

8 0
2 years ago
Cual es la sustitución de x/2+3=7
Maslowich

Answer:

conio

Step-by-step explanation:

5 0
2 years ago
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