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Leya [2.2K]
3 years ago
9

Name the type of reasoning (if any) used in the statements below: 1. All mammals are warm-blooded. 2. An elephant is a mammal. 3

. Therefore, an elephant is warm-blooded.
Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

I believe Deductive Reasoning. Based on logic. for example, If all up-and-coming freshmen are required to take a placement test, and you're an upcoming freshmen, therefore, you have to take a placement test.

Step-by-step explanation:

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A road rises 50 feet over a horizontal distance of 600 feet. What is the slope of the road?
Hatshy [7]

Answer:

1/12 (or 0.833)

Step-by-step explanation:

Recall that the definition of "slope" is the change in vertical distance divided by the change in the horizontal distance. (aka. rise ÷ run)

it is given that rise = 50 feet and the horizontal distance (i.,e "run") = 600feet

hence slope = rise / run = 50 / 600 = 1/12 (or 0.833)

6 0
3 years ago
Read 2 more answers
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
Between which two consecutive whole numbers does \sqrt{3} 3 ​ lie? Fill out the sentence below to justify your answer and use yo
lyudmila [28]

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

x , x + 1 are consecutive numbers.

3 \sqrt{3} = 3√3 = 5.19615242271

Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

3 0
3 years ago
4 is subtracted from r
SIZIF [17.4K]

Answer:

Algebraic expression ;

r-4

Step-by-step explanation:

4 is subtracted from r  means the same as r decreased by 4

Subtracted = -

r - 4

3 0
3 years ago
Read 2 more answers
Where do the graphs of the linear equation y=2x+5 and y=-2x-3 intersect?
Aleksandr [31]
It graphs in the y=2x-3 so I say it’s d bc it is in the answer up above
6 0
3 years ago
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