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Ymorist [56]
2 years ago
13

Vector u = <11, 12>, v = <-16, 6>, and w = <4, -5>.

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0

Answer:

  see attachment

Step-by-step explanation:

I find the arithmetic tedious, so I like to let a calculator or spreadsheet do it. The components of the sum are the sums of the components.

___

For example, ...

  u - 5w = <11, 12> - 5×<4, -5>

  = <11 -5·4, 12 -5·(-5)>

  = <-9, 37>

  = -9i +37j

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The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, wh
Elden [556K]

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

7 0
2 years ago
An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his
Maurinko [17]

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880

5 0
2 years ago
In a group of 100 students, 25 own a laptop, 40 own a mobile phone, and 35 own either a
Talja [164]

Answer:

My best answer is that the probability is 35/100 that the student chosen at random owns neither a laptop nor a mobile phone.

Step-by-step explanation:

If you go back and read the introductory passage, you will notice it says, "In a group of 100 students... 35 own either a laptop or a mobile phone, but not both." And I think the other numbers, I.E. 25 and 40, were just meant to throw us off. Therefore, I think 35/100 is the probability.

8 0
2 years ago
A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The
Leno4ka [110]

Answer:

The mass of the block is 168,000\ g

Step-by-step explanation:

we know that

The density is equal to the mass divided by the volume

step 1

Find the volume of the granite block

we know that

The volume of a rectangular prism (granite block) is equal to

V=LWH

substitute the values

V=(30)(40)(50)=60,000\ cm^{3}

step 2

Find the mass of the block

D=\frac{m}{V}

we have

V=60,000\ cm^{3}

D=2.8\frac{g}{cm^{3}}

substitute the values and solve for the mass

2.8=\frac{m}{60,000}

m=2.8*60,000=168,000\ g

7 0
2 years ago
Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64
Katyanochek1 [597]

Answer:

Option (a) is correct.

The value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

Step-by-step explanation:

Given : Function f(x)=-5x^2-x+20

We have to find the value of given function at x = 3

Consider the given function  f(x)=-5x^2-x+20

Since, we have tof ind the value of function at x = 3

Put x = 3 in given function f(x)

f(3)=-5(3)^2-(3)+20

Simplify, we have,

f(x)=-45-3+20=-28

Thus,  the value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

5 0
2 years ago
Read 2 more answers
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