The outlier is a because it is the most different value compared to the rest.
If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length.
Hope this helps :)
Answer: There are 6 bricks in the bag.
Step-by-step explanation:
Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:
Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:
Let be "x" the number of bricks in the bag<em>.</em>
<em> </em>Based on the information given in the exercise, you can set up the following proportion:
Finally, you must solve for "x" in order to find its value. This is:
There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours
<h3>How to determine the number of cells after 11 hours?</h3>
The given parameters are:
At t = 0, Bacteria = 140 million
At t = 6, Bacteria = 320 million
This can be represented as:
f(0) = 140
f(6) = 320
An exponential function is represented as:
f(t) = f(0) * r^t
When t = 6, we have:
320 = 140 * r^6
Divide both sides by 140
r^6 = 2.28571428571
Take the 6th root of both sides
r = 1.15
So, we have:
f(t) = f(0) * 1.15^t
Substitute f(0) = 140
f(t) = 140 * 1.15^t
After 11 hours, we have:
f(11) = 140 * 1.15^11
Evaluate
f(11) = 651.33
Hence, there are 651.335 million cells in the petri dish after 11 hours
Time to reach 1 billion cells
This means that
f(t) = 1 billion i.e. 1000 million
So, we have:
1000 = 140 * 1.15^t
Divide by 140
1.15^t = 7.14285714286
Take the logarithm of both sides
t * log(1.15) = log(7.14285714286)
Divide both sides by log(1.15)
t = 14.068
Hence, the cells will reach 1 billion cells after 14.068 hours
Read more about exponential functions at:
brainly.com/question/2456547
#SPJ1
Answer:
7 bolas
Step-by-step explanation:
Aquí, queremos saber el número de bolas que se deben sacar para estar seguros de haber extraído al menos dos bolas del mismo color.
De la pregunta, hay 6 tipos y 5 tipos de bolas diferentes. Así que en caso de que saquemos 6 veces y tuviéramos las mismas bolas, estaríamos seguros de que en el séptimo sorteo estaremos cogiendo una bola de otro color ya que hemos agotado el número de bolas del primer tipo y nos queda solo con las bolas del segundo tipo.
