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lesya692
6 days ago
10

Prove the proposition p (0), where p (n) is the proposition "if n is a positive integer greater than 1, then n2 > n." what ki

nd of proof did you use?
Mathematics
1 answer:
PIT_PIT [11.9K]6 days ago
6 0
A vacuous proof has been employed. The proposition p(n) states: "if n is a positive integer greater than 1, then n² > n." To prove p(0), it translates to "if 0 is a positive integer greater than 1, then 0² > 0." Since the premise stating that "0 is a positive integer greater than 1" is false, the overall implication holds true. This exemplifies that in vacuous proof, if a statement's premise is false, the implication remains trivially true.
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Shane and Abha earned a team badge that required their team to collect no less than 20002000 cans for recycling. Abha collected
tester [11953]

Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

S+S+178\geq 2000

= 2S+178\geq 2000

2S\geq 2000-178

2S\geq 1822

S\geq 911

3 0
16 days ago
Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought
Svet_ta [12361]

Solution:

In Mr. Skinner's class, the count of students bringing lunch from home is 12 out of 20.

Fraction of students who brought lunch from home in Mr. Skinner's class=\frac{12}{20}=\frac{3}{5}

For Ms. Cho's class, the number who brought lunch from home is 14 out of 21.

Fraction of students who brought lunch from home in Ms. Cho's class=\frac{14}{21}=\frac{2}{3}

Siloni is utilizing two spinners with 15 equal sections to randomly select students from the classes and predict whether they brought lunch or will purchase it from the cafeteria.

Number of Equal sections in each Spinner=15

To visualize the students from Mr. Skinner's class who brought lunch using a Spinner with 15 equal sections =\frac{9}{15}

For Ms. Cho's class, using a Spinner with 15 equal sections =\frac{10}{15}

Mr. Skinner's Class +1 = Ms. Cho's Class

This means that the spinner for Ms. Cho's class will include one additional section representing students who brought lunch.

Option A signifies that one additional section on Mr. Skinner's spinner represents students who brought lunch, reflecting Ms. Cho's class.

9 0
1 month ago
Read 2 more answers
Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu
Leona [12186]

Answer:

Choice C. $6,012

Step-by-step explanation:

We know that

The formula to find the depreciated value is given by

V=P(1-r)^{t}

where

V stands for the depreciated value

P represents the original value

r corresponds to the depreciation rate in decimal

t refers to the Number of Time Periods

In this scenario, we have

t = 7 years

P = $8,000

r = 0.04

Plug these into the formula mentioned earlier

V = 8,000(1-0.04)^{7} = 6,012

Hope this assists you:)

4 0
1 month ago
Sadie runs a farm stand that sells bananas and grapes. Yesterday Sadie sold 13 pounds of bananas and 15 pounds of grapes for a t
AnnZ [11983]
The equations 13x + 15y = 55.50 and 46x + 16y = 131.50 can be utilized to find out the cost per pound for both bananas and grapes, where x represents the price for bananas and y denotes the price for grapes.
3 0
23 days ago
A parallelogram has sides 24m and 5m. The height corresponding to a 24m base is 4m. What is the height corresponding to a 5m bas
Inessa [12210]
To resolve this issue, you simply multiply base 1 by height 1, which equals base 2 multiplied by height 2. Inserting our values yields 24 * 4 = 5 * height 2. By solving, we find the missing height to be 19.2. 
3 0
19 days ago
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