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4 years ago

3) Use the conditional statement to answer the question.

2 answers:

6 0

Answer: 3)The correct option is: Both the statement and the converse is false. 4) The correct option is: yes, because the statement and its converse both true.

Explanation:

3) Given statement: If a whole number is even, then the number is divisible by 4.

The above statement is not always true because there exist the whole even number which is not divisible by 4. For example, 6 is the whole enve number but 6 is not divisible by 4.

$\frac{6}{4} =\frac{3}{2}$

Hence the statement is false.

Converse of the statement: If a number is divisible by 4, then it must be a whole even number.

The above converse is not true for all. because there exist the negative numbers which are divisible by 4. For example, -8 is divisible by 4 but -8 is not a whole number.

Therefore, the correct option is "Both the statement and the converse is false".

4)Given statement: If today is Monday, then yesterday was Sunday.

The above statement is universally true.

Converse of the statement: If yesterday was Sunday, then today is Monday.

The above converse is universally true.

Therefore, the correct option is: yes, because the statement and its converse both true.

Scilla [17]4 years ago

4 0

3.) Statement: If a whole number is even, then the number is divisible by 4.
Converse: If a whole number is divisible by 4, then it is even.

The statement is false, but the converse is true.

4.) If today is Monday, then yesterday was Sunday.

Yes, because the statement and its converse are both true.

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An elevator starts at floor 5.It goes up 6 floors twice, and then it goes down 8 floors. A second elevator

Gre4nikov [31]

Answer:

Answer is The 2nd elevator

Step-by-step explanation:

1st Elevator

5+12 = 17

17- 8 = 9

so 1st elevator ends on floor 9th

2nd Elevator

21-10 = 11

11+9 = 20

2nd Elevator ends on floor 20th

so therefore the elevator that ends on the higher floor is the 2nd elevator

4 0

3 years ago

Put decimals in order from smallest to largest and then find the median?

Alika [10]

Answer:

0.11,0.4,0.42,0.5,0.8. The median would be 0.446

6 0

3 years ago

5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:

Damm [24]

The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

$(a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}$

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = $\mathbf{\dfrac{dx}{dt}}$

The speed of the rope, q = $\mathbf{\dfrac{dr}{dt}}$

By chain rule, we have;

$\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}$

$\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}$

Therefore;

$\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}$

$\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}$

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

$\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243$

The speed of the wagon when x = 0.6 and q = 0.5 m/s, $\dfrac{dx}{dt}$ ≈ 0.243 m/s

Learn more here:

brainly.com/question/17081984

4 0

2 years ago

There are 6 members of the student council and there are 10 chairs in their meeting room. If all 6 members

Vera_Pavlovna [14]

The number of different seating arrangements is an illustration of permutation

There are 151200 different seating arrangements

<h3>How to determine the number of sitting arrangements</h3>

The number of seats (n) is given as:

n = 10

The number of people (r) is given as:

r = 6

So, the number of seating arrangements is:

$^nP_r = \frac{n!}{(n - r)!}$

This gives

$^{10}P_6 = \frac{10!}{(10 - 6)!}$

Simplify

$^{10}P_6 = \frac{10!}{4!}$

Evaluate the quotient

$^{10}P_6 = 151200$

Hence, there are 151200 different seating arrangements