Change 41 out of 50 to a percentage.

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Lina20 [59]

$\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243$

3 0

3 years ago

Work out the value of (1.7 × 10⁴) × (8.5 × 10^-2) give your answer in standard form

kogti [31]

Answer:

Step-by-step explanation:

10^4 = 10000

1.7 × 10^4 = 1.7 × 10000

= 17000

10^-2 = 1/10^2= 1/100

8.5 × 10^-2 = 8.5 × 1/100

= 17/200

Final answer = 17000 × 17 / 200

= 1445

Plz mark it as brainliest

7 0

3 years ago

Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third

asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

$average=\frac{81+87+x}{3}$

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

$80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85$

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

$80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x$

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

$\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87$

This ine $72\leq x} \leq 87$ quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0

3 years ago

Please help me with this question!!!!!

Naddika [18.5K]

Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph $y= \frac {2}{5} x - 3$ is below

$y = - \frac {5}{2} x + 2$

Step-by-step explanation:

Slope of the equation $y= \frac{2}{5} x -3$ is $m_1 = \frac{2}{5}$

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

$m_2 = - \frac {1}{m_1} = - \frac {5}{2}$

Equation of line in point slope form is given as

$y-y_1=m_2(x-x_1)$

Here (x1, y1) = (4, -8)

$y+8 = - \frac{5}{2} (x-4)$

Simplifying it further

$y = - \frac {5}{2} x + \frac {5}{2} 4 - 8$

$y = - \frac {5}{2} x + 2$

6 0

3 years ago

Please answer this question...

irina1246 [14]

Answer: I believe the standard deviation will remain the same, 6, choice A.

Step-by-step explanation: Standard deviation is calkculated based on the difference of each point from the mean. If 10 were added to each score, the mean would also increase by 10. That would mean that the difference between the mean and each score would be exactly the same, leading to an identical standard deviation. Sounds crazy, but that's what numbers do for a living.

4 0

3 years ago

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Change 41 out of 50 to a percentage.​

Change 41 out of 50 to a percentage.