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Hatshy [7]
3 years ago
12

A fee of 12.50 is deducted each month from Aubryn's bank account. She currently has a balance of $75.00 in her account. She must

maintain a balance greater than $0. (Assume no deposit and withdrawals.)
Inequality:

Solution:

Interpretation:
Mathematics
1 answer:
sukhopar [10]3 years ago
4 0
$75.00-12.50≥$0

The sign should be greater than and not Greater than or equal to. I used it be that's the only available sign to help out with.
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Find a formula for the distance from the point​ P(x,y,z) to each of the following planes. a. Find the distance from​ P(x,y,z) to
BARSIC [14]

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

7 0
3 years ago
While playing baseball, sofia takes note of the extreme vectors for which she bats. what is the angle between her two extreme ba
k0ka [10]

The angle between the two extreme vectors of Sofia bats is 74.60 degrees.

In this question,

The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.

The extreme vectors of Sofia bats are  \vec u = < -8, 12 > and \vec v = < -8, 12 >

The angle between the vectors is

\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}

The dot product is calculated as

\vec u. \vec v = (-8)(13)+(12)(15)

⇒ -104+180

⇒ 76

The magnitude can be calculated as

||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }

⇒ \sqrt{64+144}

⇒ \sqrt{208}

||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }

⇒ \sqrt{169+225}

⇒ \sqrt{394}

Thus the angle between the vectors is

\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}

⇒ \theta = cos^{-1} \frac{76}{\sqrt{81952} }

⇒ \theta = cos^{-1} \frac{76}{286.27 }

⇒ \theta = cos^{-1} (0.2654)

⇒ \theta=74.60

Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.

Learn more about angle between two vectors here

brainly.com/question/19726452

#SPJ4

5 0
1 year ago
Seaside Bike Shop rents bikes for $10 plus 54 per hour. Jack paid $30 to rent a bike. Which equation, when solved for x, gives t
lozanna [386]
Y=54x+10
If he paid $30 it would be
30=54x + 10
4 0
3 years ago
Help i need help on these please
FrozenT [24]

Answer:

1.)1.3

2.)0.13

3.)13

4.)0.13

5.)True, because multiplying by .001 is the same as dividing by 1000

Step-by-step explanation:

6 0
2 years ago
What is the value of x
valkas [14]

Answer:

73

Step-by-step explanation:

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Add up the numbers together.

3x+141=360

Subtract 141 from 360

3x=219

Divide 219 by 3

x=73

6 0
3 years ago
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