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yawa3891 [41]
3 years ago
14

A display for rolls of tape indicates that each roll contains 150 yards of tape. If the actual length of tape can vary by 2.5% o

f that amount, what is the range for the length of the tape on a roll
Mathematics
1 answer:
jeka943 years ago
7 0

Answer:

  [146.25, 153.75] yards

Step-by-step explanation:

2.5% of 150 yards is ...

  0.025 × 150 yd = 3.75 yd

This amount can be added or subtracted from the nominal length, so the range of lengths is ...

  from 150 yd -3.75 yd = 146.25 yd

  to 150 yd +3.75 yd = 153.75 yd

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Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz , (3, 3, 9
Anna [14]

The derivative of f(x,y,z) in the direction of a vector \mathbf u is

\nabla_{\mathbf u}f=\nabla f\cdot\dfrac{\mathbf u}{\|\mathbf u\|}

With f(x,y,z)=xyz, we get

\nabla f=(yz,xz,xy)

and \mathbf u=(-1,-2,2),

\|\mathbf u\|=\sqrt{(-1)^2+(-2)^2+2^2}=3

Then

\nabla_{(-1,-2,2)}f(3,3,9)=(27,27,9)\cdot\dfrac{(-1,-2,2)}3=-21

8 0
3 years ago
The solution set of the inequality 2x − y > 2 consists of all the points __ ? the line __ ?
GalinKa [24]

Answer:

  • b - below; y = 2x − 2

Step-by-step explanation:

  • 2x − y > 2
  • 2x - y + y - 2 > 2 + y - 2
  • 2x - 2 > y
  • y < 2x - 2

Solution is the points below the line y = 2x - 2

<u>Correct option is:</u>

  • b - below; y = 2x − 2
7 0
4 years ago
Explain algebraically using properties of logs how log(100x) is related to log(x)
DIA [1.3K]
Log(100x)=log(100)+logx
4 0
3 years ago
|4x-9|=5x Does anybody know the answer to this ?
oksano4ka [1.4K]

|4x-9|=5x

subtract 4 to both sides

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3 0
3 years ago
Madison likes to go to her local hair salon because she is a premier member there. Her membership fee costs $80.00 and that memb
OlgaM077 [116]

By evaluating a linear equation, we can complete the table:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

<h3>How to fill the table?</h3>

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

c(x) = $80.00 + $26.00*x

So we have a linear equation that models the total cost.

Evaluating the equation in the values of the table we will get the other values.

c(2) = $80 + $26*2 = $132

c(4) = $80 + $26*4 = $184

c(5) = $80 + $26*5 = $210

c(8) = $80 + $26*8 = $288

Then the complete table is:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
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