Conditional: if it is january, then there are 31 days this month. for the given conditional statement, determine which of the following option(s) has a truth value of true. select all that apply. conditional converse inverse contrapositive

The converse of the conditional switches the hypothesis with conclusion portion of the statement.

The inverse of the conditional negates both the hypothesis and the conclusion portions of the statement .

The contrapositive  of the conditional statement combines the converse with the inverse and switches the hypothesis and conclusion while negating both portions.

It is a conditional statement.(if p then q form) - True

The converse is not true. As converse is - If there are 31 days in a month, then it is January. It is not true as March and other months also have 31 days.

The inverse is false. As inverse is - If it is not January, then there are not 31 days this month. This also holds true for January only but many other months also have less than 31 days.

The contrapositive is true . As the statement forms : If there are not 31 days this month, then it is not January. This holds true.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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hi! i think the answer is 1/2 : )