What is the prime factorization of 154?<br> 2 × 7 × 11<br> 2 × 7 × 13<br> 2 × 5 × 11<br> 2 × 5 × 13

I need help<br> Hdjshhsjsmanana

dalvyx [7]

Answer:

hnahnahnahnahhnahnahnahnahhnahnahnahnahhnahnahnahnah

6 0

3 years ago

Find the distance between the points (-10, -9) and (-7, -1).

QveST [7]

Answer:

Distance: 8.5440037453175

Step-by-step explanation:

Distance: 8.5440037453175

Steps:

Distance (d) = √(-7 - -10)2 + (-1 - -9)2

= √(3)2 + (8)2

= √73

= 8.5440037453175

Slope and Angle:

ΔX = -7 – -10 = 3

ΔY = -1 – -9 = 8

Slope (m) =

ΔY

ΔX

=

8

3

= 2.6666666666667

θ =

arctan( ΔY )

ΔX

= 69.443954780417°

Equation of the line:

y = 2.6666666666667x + 17.666666666667

or

y =

8 x

3

+ 53

3

When x=0, y = 17.666666666667

When y=0, x = -6.625

3 0

2 years ago

Read 2 more answers

Find a compound proposition involving the propositional variables p, q, and r that is true when exactly two of p, q, and r are t

VLD [36.1K]

Answer:

Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

Step-by-step explanation:

This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.

First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.

Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.

8 0

3 years ago

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W

Veronika [31]

To solve you first need to pick out the most important information,
~Spent 20 minutes
~Each prob takes 2 minutes
Lets have y be the total time spent, and x the number of probs
(y/2) = x
Hope this helped!! ^-^

6 0

3 years ago

Read 2 more answers

It takes 12 hours for 7 men to paint a room.

dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

$a \times \frac{1}{84} \times 3 = 1$

corresponds to rate x hours = jobs and "a" is a variable for how many men

$a \times \frac{1}{28} = 28$

Thus 28 men are needed to paint the room in 3 hours

4 0

2 years ago

What is the prime factorization of 154? 2 × 7 × 11 2 × 7 × 13 2 × 5 × 11 2 × 5 × 13