Answer:
(C)85.56 cm², 12.4 cm
Step-by-step explanation:
The Area of the screen of the new phone is :
19.68cm² + Area of the current phone screen size
The current phone screen size has dimensions: 6.1 cm and 10.8 cm,
Area of the current phone screen size = 6.1 cm × 10.8cm
Area of the current phone screen size = 65.88 cm²
Hence, The Area of the screen of the new phone is :
19.68cm² + Area of the current phone screen size
= 19.68cm² + 65.88cm²
= 85.56 cm²
The new phone screen must have an area of 85.56cm², which is the product of 6.9 cm and ___
The is calculated as:
85.56cm²/6.9cm
= 12.4cm
Therefore, the new phone screen must have an area of 85.56cm², which is the product of 6.9 cm and 12.4cm
Option C is correct
The most general antiderivative of the given function g(t) is (8t + t³/3 + t²/2 + c).
The antiderivative of a function is the inverse function of a derivative.
This inverse function of the derivative is called integration.
Here the given function is: g(t) = 8 + t² + t
Therefore, the antiderivative of the given function is
∫g(t) dt
= ∫(8 + t² + t) dt
= ∫8 dt + ∫t² dt + ∫t dt
= [8t⁽⁰⁺¹⁾/(0+1) + t⁽²⁺¹⁾/(2+1) + t⁽¹⁺¹⁾/(1+1) + c]
= (8t + t³/3 + t²/2 + c)
Here 'c' is the constant.
Again, differentiating the result, we get:
d/dt(8t + t³/3 + t²/2 + c)
= [8 ˣ 1 ˣ t⁽¹⁻¹⁾ + 3 ˣ t⁽³⁻¹⁾/3 + 2 ˣ t⁽²⁻¹⁾/2 + 0]
= 8 + t² + t
= g(t)
The antiderivative of the given function g(t)is (8t + t³/3 + t²/2 + c).
Learn more about antiderivative here: brainly.com/question/20565614
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Answer:
-126
Step-by-step explanation:
For the binomial expression 
the coefficient of 
term is given by 
.
We have to find the coefficient of 6th term in the binomial expansion of
.
Hence n=9 and r=5
The coefficient of 6th term = 
= 
= -126
Answer:
First Choice: As the number of hours spent on homework increases, the tests scores increase.
Step-by-step explanation:
The definition of a positive correlation is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.
The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.
The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.
The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.
The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.
Well if you're referring to rationalizing
, which simply means, getting rid of the pesky radical at the bottom
well, it boils down to, hmm say... a quantity or even a polynomial, multiplied times 1, is itself, 2*1=2, 3*1 = 3, ducks*1 = ducks, spaghetti * 1 = spaghetti
or whatever * 1 = whatever
and the value of the multiplicand, doesn't change in anyway, is the same thing before and after the multiplication by 1
now....1 can also be a fraction
so.. when you're doing
and the value multiplicand doesn't change in any way
now, try this in your calculator
