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Advocard [28]
3 years ago
11

Find the solution of this system of equations.

Mathematics
1 answer:
solmaris [256]3 years ago
3 0
X=5+y

Substitute the value of x in second equation
28x – 9y= -12
28 (5+y)-9y =-12
140 +28y -9y =-12
140 +19y= -12
19y = - 152
y= -8



Now let's find the value of x using y

x= 5+y
x= 5 + (-8)
= -3

So,
x= -3
y=-8
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Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
hichkok12 [17]

Answer:

2\pi(e^2-e^{-4})

Step-by-step explanation:

We are given: f(x)=2e^x

So, the integral will be used to calculate the volume.

V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})

5 0
3 years ago
The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o
andrey2020 [161]

Answer:

D. 54,900

Step-by-step explanation:

We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability 0.975(1-0.025) using normal distribution table.  

From normal distribution table, we get z-score corresponding is 1.96.

Now, we will use z-score formula to find sample score as:

z=\frac{x-\mu}{\sigma}, where,

z = Z-score,

z = Sample score,

\mu = Mean,

\sigma = Standard deviation

1.96=\frac{x-50,000}{2,500}

1.96*2,500=\frac{x-50,000}{2,500}*2,500

4900=x-50,000

4900+50,000=x-50,000+50,000

54900=x

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0
3 years ago
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sergey [27]

Answer:

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Step-by-step explanation:

do it in calculator

7 0
3 years ago
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3 years ago
Clarie takes private tennis lessons every 6 days and piano lessons every 4 days.In 60 days,how often will she have tennis and pi
kozerog [31]

multiples of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60

12 24 36 and 48 are the only common factors

so 4 days

4 0
3 years ago
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