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kati45 [8]
2 years ago
10

Which expressions are equivalent to the one below. Check all that apply. Log9 1 * log9 81

Mathematics
2 answers:
blsea [12.9K]2 years ago
6 0
Log9 1 = 0
Log9 81 = 2
0 * 2 = 0
Daniel [21]2 years ago
3 0
The answer is 0 for apex
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A 0.2-kilogram red ball is thrown horizontally at a speed of 4 meters per second from a height of 3 meters. A 0.4-kilogram green
Stolb23 [73]

Answer:

option (C) the same

Step-by-step explanation:

In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction

and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s

Here in both the cases no component of velocity in the vertical direction is provided.

Hence, it will be a case of free fall in the vertical direction.

Now,

from Newton's equation of motion, we have

s=ut+\frac{1}{2}at^2

here,  

s is the distance

a is the acceleration

t is the time

in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.

Hence, the time taken for both the balls will be same.

Hence,

The correct answer is option (C) the same

7 0
2 years ago
A motor scooter travels 20 mi in the same time that a bicycle covers 8
melamori03 [73]
The scooter is 20 miles per hour and the bicycle is 8 miles per hour. Because twice the rate of the bicycle is sixteen miles then the scooter minus 16 is four as in the four miles per hour mentioned above, so its only one hour then we divide 20 and 8 both seperatly by one and those are your answers

6 0
2 years ago
In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc
Daniel [21]

Answer:

The  number is  N  =1147 students

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  281

     The standard deviation is  \sigma  =  34.4

    The sample size is  n = 2000

percentage of the would you expect to have a score between 250 and 305 is mathematically represented as

      P(250 <  X <  305 ) =  P(\frac{ 250 - 281}{34.4 }  <  \frac{X - \mu }{\sigma }  < \frac{ 305 - 281}{34.4 }   )

Generally  

             \frac{X - \mu }{\sigma }  =  Z  (Standardized \ value \  of  \  X )

So  

         P(250 <  X <  305 ) =  P(-0.9012<  Z

       P(250 <  X <  305 ) = P(z_2 < 0.698 ) -  P(z_1 <  -0.9012)

From the z table  the value of  P( z_2 < 0.698) =  0.75741

                                         and  P(z_1 < -0.9012) =  0.18374

     P(250 <  X <  305 ) = 0.75741 - 0.18374

      P(250 <  X <  305 ) =  0.57

The  percentage is  P(250 <  X <  305 ) =  57\%

The  number of students that will get this score is

           N  = 2000 * 0.57

           N  =1147

6 0
2 years ago
Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

7 0
2 years ago
Read 2 more answers
Gabriel planted a tree in his back yard. The label said that the tree would grow to approximately 7 meters tall. About how tall
cestrela7 [59]
The question posted is simply asking you to convert the measurement given above. We just need the conversion factors to obtain the correct measurements. We do as follows:

7 meters ( 39 in / 1 m ) = 273 inches tall

273 inches ( 1ft / 12 in ) = 22.75 ft tall

Hope this answers the question. Have a nice day.
4 0
2 years ago
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