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FinnZ [79.3K]
3 years ago
7

Can someone help me please

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0

(a) Option B $20

(b) 100 miles Option B

Jobisdone [24]3 years ago
3 0

A) Option B

$20 less

B)100 Miles

Option B

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What is the equation of the line that passes through the point (-2,-2)and has a slope of 2
SOVA2 [1]

Answer:

y+2 = 2(x+2)

Step-by-step explanation:

given point (a,b) and slope m, point slope form of a line is:

y-b = m(x-a)

3 0
3 years ago
Given vectors A (2,-1,5), B (4,3,-2) & C (5,4,0), find:?
MrRissso [65]
A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=>    \sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)
7 0
3 years ago
A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h,
worty [1.4K]

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

5 0
3 years ago
Read 2 more answers
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:
Gnesinka [82]

Answer:

(A)398 cubic inches

Step-by-step explanation:

Given a cylindrical piece of iron pipe with the following dimensions:

  • Height = 12 inches
  • Diameter = 8 inches

Therefore: External radius =4 Inches

Since the wall of the pipe is 0.75 inch thick,

Internal Radius =4-0.75 =3.25 Inches

Volume of a Cylinder = \pi r^2 h

Inside Volume of the Pipe

= \pi*3.25^2*12\\=398$ cubic inches

The correct option is A.

6 0
3 years ago
Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity.
Gennadij [26K]

Answer:

All real numbers except for 5.

Step-by-step explanation:

f(x)=\frac{x}{x-5}

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.

Thus, we need to find the zero(s) of the denominator to determine the domain.

x-5=0

x=5

Therefore, the domain of the rational function is all real numbers except for 5.

In set builder notation, this is:

\{x|x\in \mathbb{R}, x\neq 5\}

5 0
2 years ago
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