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Answers:</h3>
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Explanation:
The given piecewise function is
At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
- f(x) = -4x+3 when x < 3
- f(x) = -x^3 when
- f(x) = 3x^2+1 when x > 8
In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
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f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
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Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
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Side notes:
- We won't use the second definition since we don't have any x inputs between 3 and 8
- To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example,
is the same as x<=5
Answer:
Volume = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup
Step-by-step explanation:
The dimensions of a refraction cup are;
Diameter = 120 mm
Depth = 30 mm
Therefore, volume of the refraction cup = Area of base × Depth
Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³
1 L = 1000000 mm³
Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L
The formula is Area of base of refraction cup × Depth of the refraction cup.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
Answer: 0.8413
Step-by-step explanation:
Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.
Mean : 
Standard deviation : 
Let x be the random variable that represents the typing speeds for the students.
The z-score :-
For x= 51
Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-
Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413
Answer:Which is the correct path of sperm during fertilization? cervix, vagina, fallopian tube, uterus fallopian tube, uterus, cervix, vagina vagina, cervix, uterus, fallopian tube uterus, fallopian tube, vagina, cervix
answer -2
