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Murljashka [212]
3 years ago
8

You have the option of two phone plans. The Link One plan will charge you $0.50 for a phone call, plus $0.40 per minute. The Fam

ily plan will charge you $0.48 per minute. How much time would you need to spend on one phone call so that both plans would cost the same amount?
Mathematics
1 answer:
katrin [286]3 years ago
8 0
.50 + .40m  = .48m     where m is the number of minutes that equalize the cost......subtract .40m  from each side

 

.50  = .08m     divide both sides by .08

 

.50 /.08  = m   = 6.25 minutes

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Is surface area 3-dimensional?
masha68 [24]
Considered as it only taking the area of flat surfaces of a 3D object, no
6 0
3 years ago
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]

The inverse of the matrix is

\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]

So, the Inverse Transformation is given by

T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

So, no option is correct. And the answer is

T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0
2 years ago
I tried this few times in yeah so i could not find it.
Step2247 [10]

Answer:

5 is the answer

Step-by-step explanation:

\dfrac{  \left( 44+ { 9  }^{ 2  }    \right)    }{  { 5  }^{ 2  }    }

Calculate 9 to the power of 2 and get 81

\dfrac{ 44+81  }{  { 5  }^{ 2  }    }

Add 44 and 81 to get 125

\dfrac{ 125  }{  { 5  }^{ 2  }    }

Calculate 5 to the power of 2 and get 25

\frac{125}{25}

Divide 125 by 25 to get 5

5

7 0
3 years ago
Write two decimals that are equivalent to 3.7
DedPeter [7]
3.70 and 3.700 are some examples to get you started.
4 0
3 years ago
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