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Anit [1.1K]
3 years ago
14

A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how m

any meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

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skelet666 [1.2K]

Answer:

The answer is 30x + 2

Step-by-step explanation:

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3 years ago
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According to the fundamental theorem of algebra, how many roots does the polynomial f(x)=x4+3x2+7 have over the complex numbers,
Finger [1]

ANSWER

4 roots.

EXPLANATION

The given polynomial function is

f(x) =  {x}^{4}  + 3 {x}^{2}  + 7

This is a fourth degree polynomial.

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

This roots include both real and complex roots.

Also repeated roots or roots with multiplicity greater than one are counted as distinct.

Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.

8 0
3 years ago
If there is an x find the value of it if not explain what needs to be given
tino4ka555 [31]

Answer:

x value is 7

the answer is 7

5 0
3 years ago
In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it
Rom4ik [11]

Answer:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

\bar x= \frac{\sum x_i}{n}  

\bar y= \frac{\sum y_i}{n}  

And we can find the intercept using this:  

b=\bar y -m \bar x  

On this case the correct answer would be:

E.  none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

Step-by-step explanation:

Assuming the following options:

A.  there is a positive correlation between X and Y

B.  there is a negative correlation between X and Y

C.  if X is increased, Y must also increase

D.  if Y is increased, X must also increase

E.  none of the above

If we want a model y = mx +b where m represent the lope and b the intercept

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

\bar x= \frac{\sum x_i}{n}  

\bar y= \frac{\sum y_i}{n}  

And we can find the intercept using this:  

b=\bar y -m \bar x  

On this case the correct answer would be:

E.  none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

3 0
2 years ago
The difference between two integers is at most 16. the smaller integer is 12. what is the larger integer
emmainna [20.7K]
<span>The difference between two integers is at most 16
x1 - big integer
x2- small integer
x_1 -x_2  \leq 16

</span><span>the smaller integer is 12
so
x2 = 12

substitution
</span>
<span>x_1 -12  \leq 16

solve for x1

however, note the fact larger
thus meaning
x1 > x2 applies to this problem
</span>
3 0
3 years ago
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