Answer:
4
Step-by-step explanation:
Answer:
4^5x-1=16
4^5x-1=4²eliminate 4
5x-1=2
5x=2+1
5x=3
x=3/5
log4(10x+2)=1
log4(10x+2)=log4 ⁴
eliminate log4
10x+2=4
10x=4-2
10x=2
x=2/10
x=1/5
difference between the is we use law of indices and logarithm to the questions respectively
similarities is we eliminate there base
Step-by-step explanation:
500+60000=60500
.........
Answer:
Step-by-step explanation:
The Pythagorean triple for a 30-60-90 triangle is, in terms of patterns,
(x, x√3, 2x) where x is the length of the side across from the 30 degree angle, x√3 is the length of the side across from the 60 degree angle, and the length of the hypotenuse is represented by 2x. We have the length of the hypotenuse given as 10. Therefore:
2x = 10 (the formula for the length of the hypotenuse is set equal to the value of the hypotenuse, allowing us to solve for x) so
x = 5. Look up above at the triple. The side length across from the 30 degree angle measures x; if x = 5, then side s = 5.
The formula for the side length across from the 60 degree angle is x√3, and again, if x = 5, side q = 5√3 which is choice C.
Answer:
C and D
Step-by-step explanation:
A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:
1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.
2. Max value: the largest value in the data set indicated at the end of the whisker to our right.
3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.
4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.
5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.
The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.
Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.
The correct choices are option C and D.
