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sesenic [268]
3 years ago
8

Alexis exercises 75 minutes a day. She does weight training, which burns an average of 7.5 calories per minute. Write a polynomi

al to represent the amount of calories Alexis burns in one day if she does x minutes of weight training?
Mathematics
1 answer:
Natali [406]3 years ago
7 0
7.5 multipled by 75 is 562.5 cal. per day 
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Find the measure of each marked angle!!
tamaranim1 [39]

Answer:

60 is the answer

Step-by-step explanation:

10x - 20 = 7x + 4 (Corresponding angles)

10x - 7x = 20 + 4

3x = 24

x = 8

substituting the values,

10(8) - 20

80 - 20

60

similarly the other angle is 60 since they are corresponding angles.

8 0
3 years ago
Help asap I’m very behind 23 points given
Kamila [148]

Answer:

i think its b

Step-by-step explanation:

4 0
3 years ago
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On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school
Pie

Answer:

35.2 ft

Step-by-step explanation:

Multiply the scale factor and the height.

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3 years ago
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Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba
Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability = \sum_{i=0}^5 x_{i}p(x_i)

Expected probability = 0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)

Expected probability = 0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = \frac{35}{18}\times 12000=23333.3333333\approx 23333.33

Therefore, the correct option is B.

3 0
3 years ago
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