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telo118 [61]
2 years ago
8

If you sell $1000 worth of popcorn, then your Boy Scout dues are free. Ethan sold $1000 worth of popcorn. Conclusion: Ethan's Bo

y Scout dues are free.
This conclusion was draw using the law of contrapositive


This conclusion was draw using the law of detachment


This conclusion was draw using the law of syllogism


An invalid conclusion was made
Mathematics
1 answer:
galben [10]2 years ago
8 0
Not 100% sure but I’d say B
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-5(6n+6)=30 I need help​
Mrac [35]

Answer:

N= -2

Step-by-step explanation:

7 0
2 years ago
The sum of three consecutive integers is 141. What is the smallest integer?
Sonja [21]

Answer:

The Consecutive number are 46 , 47 and 48 having sum as 141

The smallest number is 46

Step-by-step explanation:

• A consecutive numbers means number are in a sequence and are one after the another !

e.g. n , (n+1). Or 1 , 2 are consecutive numbers

• A consecutive even numbers differ by 2 because all even numbers are divisible by 2 !

• If the number is divisible by x we must had taken number as n , ( n + x ) ,

( n + 2x )

• Let the numbers be ( n - 1 ) , n and

( n + 1 )

Given ,the sum of numbers is 141

n - 1 + n + n + 1 = 141

3n = 141

n = 141/3

n = 47

So, the numbers are

n- 1 = 47 - 1 = 46

n = 47

n + 1 = 48

And , the smallest number is 46

• Verification :-

46 + 48 + 47 = 141

Which satisfies the given condition !!

Hence , verified !!

8 0
3 years ago
Differential cos^2x dy/dx =e^y-tanx​
gulaghasi [49]

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

⇒

dx

dy

+ysec

2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

tanx

Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

ysec

2

x=e

tanx

tanxsec

2

x

Integrating both sides, we get

ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

=∫te

t

dt=e

t

(t−1)+c

⇒y=t−1+ce

−t

where t=tanx

8 0
2 years ago
The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h
Bumek [7]
Average speed of cyclist = x
average speed of car = 3x

x = 225/5
x = 45km/h

3x = 3(45)
3x = 135km/h

average speed of cyclist = 45km/h
average speed of car = 135km/h
6 0
3 years ago
(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3)<br><br> Enter the answer in science notification
Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})

The numeric part simply yields

3.8\times2.37 = 9.006

As for the powers of 10, you have to add the exponents, using the rule

a^b \times a^c = a^{b+c}

So, we have

10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}

So, the final answer is

9.006\times 10^{-9}

7 0
2 years ago
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