Ask question

Ask question

All categories

3 years ago

7

a class of 54 students is divided into equal groups for orientation each group should have at least 7 students but no more than

10 students. What is the group size?

1 answer:

Dennis_Churaev [7]3 years ago

8 0

2 students more were introducced in the class and each group had 8 people

You might be interested in

While in college, why did Euler work through advanced math books on his own

gavmur [86]

His teacher didnt have time so advised him to tutor privately

8 0

3 years ago

Read 2 more answers

If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

5 0

3 years ago

Read 2 more answers

natulia [17]

Answer:

m^2+5m+25/4

perfect square trinomial^^

3 0

2 years ago

Find the slope. ASAP

vagabundo [1.1K]

The answer is number 4

3 0

3 years ago

#1 Factors Which of these numbers is a factor of 49? a. 9 b. 7 C. 6 d. 5

Vesna [10]

Answer = b. 7

THANK YOU FOR LISTENING TO MY TED TALK

8 0

3 years ago