Which graph shows the function f(x) = x with an input of f (1/3x)?

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

Answer 2
Answer:

Answer:

B

Step-by-step explanation:

its b on ed 2020


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Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, 2>, v = <21, 6>

Answers

Vectors are orthogonal if their dot product is equal to zero:
u · v = 7· 21 + 2 · 6 = 147 + 12 = 159 ≠ 0
Vectors are parallel if the angle between them is 0°, or cos ( u, v ) = 1
cos  ( u, v ) = ( u · v ) / ( | u | · | v | ) =
= 159 / (√(7² + 2²) · √(21² + 6²) ) =
= 159 / ( √ (49 + 4 ) · √ ( 441 + 36 ) ) = 
= 159 / (√53 · √477 ) = 159 / 159 = 1
Answer : The vectors u and v are parallel. 

Answer:

Parallel

Step-by-step explanation:

orthogonal: dot product of u times v= 0 degrees

utimesv= 7x21+2x6=147+12=159

Parallel: cos (u,v)=1

cos (u,v)=(u·v)/ IuI·IvI

cos (u,v)= 159/ (sqrt 7^2+2^2)·(sqrt 21^2 +6^2)

159/(sqrt 49+4) ·(sqrt 441+36)

159/(sqrt 53)·(sqrt 477)=

159/159

=1; therefore it is parallel

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Answers

we know that

The volume of a cube is equal to

V(s)=s^(3)

where

s is the length side of the cube

In this problem we have

s= 3\ ft

The volume is equal to

V(3)=3^(3)=27\ ft^(3)

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet

I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground 60m away from the flagpole, the top of the flagpole and the top of the building line up. If the flagpole is 35m tall and Marquis is 170m from the building, how tall is the building?

Answers

The height of the office building is 99.2 meters

The given parameters are:

  • d1: The flagpole's distance from the office building = 60 m
  • d2: Marquis' distance from the office building = 170 m
  • h1: Height of the flagpole = 35 m

The above parameters can be represented using the following equivalent ratio

h1 : d1 = h2 : d2

Express as fraction

(h1 )/( d1) = (h2 )/( d2)

So, we have:

(35)/(60)=(h2)/(170)

Multiply both sides by 170

170 * (35)/(60)=h2

99.2=h2

Rewrite as:

h2 =99.2

Hence, the building is 99.2 meters tall

Read more about equivalent ratios at:

brainly.com/question/2328454

Answer:

99.17m

Step-by-step explanation:

In the diagram, Marquis is at Point A and the flag pole is length DE, the building is of length BC.

Triangles ADE and ABC are therefore similar right triangles.

Applying this,

[TeX]\frac{|DE|}{|AE|}=\frac{|BC|}{|AC|}[/TeX]

[TeX]\frac{35}{60}=\frac{|BC|}{170}[/TeX]

|BC|=170*35÷60

|BC|=99.17m

Absolute value of -3.47 ?

Answers

Answer: 3.47

Step-by-step explanation:

Absolute value is distance from zero.

The health care Jimmy’s employer offers is a fee-for-service plan in which Jimmy and his family must pay for $12,500 in health related services in a calendar year before the insurance company begins to pay.  Jimmy and his family have several health related issues that demand $685.00 each month.  If one of Jimmy’s children were to become seriously injured at the end of the year, how much more would Jimmy and his family need to pay before the insurance company begins  to assume responsibility?a.
$984.58
b.
$4,280.00
c.
$11,815.00
d.
$14,417.92

Answers

The answer is Letter B$4,280.00.

Total the amount they could incur because of health issues in a year then deduct it from 12,500.

   = 685 x 12 months
   = 8,220; they incur $8,220 for their health related issues in a year

   = 12,500 - 8,220
   = 4,280; amount they need to pay before the insurance company assumes responsibility.

Factorise fully the following
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8

Answers

Factorization of an algebraic expression means to write the given expression as a product of its factors.

The factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

What is factorization?

Factorization of an algebraic expression means to write the given expression as a product of its factors.

These factors can be numbers, variables, or algebraic expressions.

We have,

A) 2x + 10

we have a common factor of 2.

= 2x + 10

= 2 ( x + 5 )

B) 5x - 15

We have a common factor of 5.

= 5x - 15

= 5 ( x - 3 )

C) 8x + 6

We have a common factor of 2.

= 8x + 6

= 2 ( 4x + 3 )

D) 12x - 8

We have a common factor of 4.

= 12x - 8

= 4 ( 3x - 2 )

Thus the factorized form are:

A) 2x+10 = 2 ( x + 5 )

B) 5x-15 = 5 ( x - 3 )

C) 8x+6 = 2 ( 4x + 3 )

D) 12x-8 = 4 ( 3x - 2 )

Learn more about factorization here:

brainly.com/question/9070174

#SPJ2

Step-by-step explanation:

A .2x+10

2(x+5)

B. 5x-15

5(x-3)

C. 8x+6

2(4x+3)

D. 12x-8

4(3x-2)