1.Construct a linear equation from the following statements.

How does multiplying a vector by a scalar value of 2x change the vector?

GalinKa [24]

Recall that the direction of a vector can be seen from its slope, namely b/a.

let's take a peek at a couple of vectors, and multiply them by a scalar of 2.

hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2

2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.

and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2

2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.

so, the vector's magnitude gets blown up, but the slope remains the same.

5 0

3 years ago

Giving away 15 points for anyone who answers this. Please help me, I am having a hard time on this.

expeople1 [14]

Answer:

the original price was $13

Step-by-step explanation:

hope this helps!

4 0

2 years ago

Read 2 more answers

What will it cost to tile a rectangular floor measuring 299 feet by 34 feet if the tile costs $11 per square foot?

dexar [7]

Area = 299*34 = 10166 ft^2

Cost = 10166 * 11 = $111,826 (answer)

3 0

3 years ago

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

den301095 [7]

Answer:

a

$P(G) = 0.69$

b

$P(S | G) = 0.81$

c

$P(M|G') = 0.26$

Step-by-step explanation:

From the question we are told the

The probability of getting into getting into graduated school if you receive a strong recommendation is $P(G |S) = 0.80$

The probability of getting into getting into graduated school if you receive a moderately good recommendation is $P(G| M) = 0.60$

The probability of getting into getting into graduated school if you receive a weak recommendation is $P(G|W) = 0.05$

The probability of getting a strong recommendation is $P(S) = 0.7$

The probability of receiving a moderately good recommendation is $P(M) = 0.2$

The probability of receiving a weak recommendation is $P(W) = 0.1$

Generally the probability that you will get into a graduate program is mathematically represented as

$P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)$

=> $P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05$

=> $P(G) = 0.69$

Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

$P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}$

=> $P(S|G) = \frac{ 0.7 * 0.8 }{0.69}$

=> $P(S | G) = 0.81$

Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as

$P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}$

$P(M| G') = \frac{ 0.2 * (1- 0.6)}{ (1 - 0.69)}$

$P(M|G') = 0.26$

3 0

3 years ago

The angle of ABC is how many degrees

Goshia [24]

Answer:

I think the awsner is 180 deegrees

7 0

2 years ago