1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ozzi
3 years ago
7

The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the rela

tionship between p and s approximated byp = 64 − 0.01s2.Find the value(s) of s that will make p = 0.
Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

The value of <em>s</em> that will make <em>p</em> = 0 is 80.

Step-by-step explanation:

The equation used to describe the relationship between amount of airborne particulate pollution from a power plant and wind speed is:

p=64 -0.01s^{2}

Compute the value(s) of <em>s</em> for which the value of <em>p</em> = 0 as follows:

p=64 -0.01s^{2}\\0=64 -0.01s^{2}\\0.01s^{2}=64\\s^{2}=\frac{64}{0.01}\\ s^{2}=6400\\s=\sqrt{6400}\\s=\pm 80

Since wind cannot travel in negative speed, the value of <em>s</em> is 80.

You might be interested in
For a field trip 9 students rode in cars and the rest filled three busses. How many students were in each bus if 99 students wer
taurus [48]

Answer: 30 students per bus

Step-by-step explanation: 99-9=90

90/3=30

30 students per bus

8 0
3 years ago
Tiana has $70 in an account. The interest rate is 5% compounded annually.
Alekssandra [29.7K]

Answer:

73 dollars and 50 cents

Step-by-step explanation:

Initial Deposit:

70

Years to Save:

1

Estimated Rate of Return

5

Compound Frequency:

Annually

Earned Interest

$3.50

Total Balance

$73.50

Hope this helps!

8 0
2 years ago
Who started the problem correctly? The problem form is (-5) - (-1 3/4).
Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

=-5+\frac{7}{4}

= \frac{-13}{4}

Let's compare both the procedures now:

Mariah:

(-5) + 1 - \frac{3}{4}

=(-5) - \frac{1}{4}

=\frac{-21}{4}

Therefore, Mariah did not start the problem correctly.

Shane:

(-5) + 1 + \frac{3}{4}

= -5 + \frac{7}{4}

= \frac{-13}{4}

Therefore, Shane started the problem correctly.

6 0
3 years ago
Please help with 1 &amp; 2
yaroslaw [1]
First question:

I urge you to perform the division using the synthetic division method:

      ________________
-4  /   1   3   -6   -6   8
             -4    4     8  -8
       -----------------------
         1   -1   -2    2    0

Note that there is no remainder.  When this is the case, the divisor (here, that's -4) is a root of the given polynomial, and the value of that polynomial, g(-4), is 0.

If the remainder were not 0, then the remainder represents the value of the polynomial for that particular divisor.  For example, if x = -3, the remainder is -28.  We'd write that as g(-3) = -28.

But here, g(-4) = 0.
6 0
3 years ago
A cardboard box without a top is to have volume 62500 cubic cm. find the dimensions which minimize the amount of material used.
bezimeni [28]

Answer: A cardboard box without a lid is to have a volume of 32,000 cubic cm. Find the dimensions that minimize the amount of cardboard used

. ans: base 40 x 40, height = 20  

Solution:  

The typical box might look like the one below  

where . In addition we have xyz = 32000 ,so we need to minimize .  

We have,  

 

From the geometry of the problem  so y = x. So  or x = 40.  

Finally, y = x = 40 and z = 32000/(xy)=20.

8 0
3 years ago
Other questions:
  • What's the word form and value of 3.100
    12·1 answer
  • W = WI , solve for I
    15·2 answers
  • Lucy is financing $370,000 to purchase a house. How much money will she save over the life of a 30-year, fixed-rate loan by buyi
    12·1 answer
  • What is the area of a shape that has the lengh of 10 cm and the height of 5cm
    14·1 answer
  • The system dx dt = −sx + sy dy dt = −xz + rx − y dz dt = xy − bz is the famous Lorenz system. It was developed as a model for we
    6·1 answer
  • Multiply.<br> (5x + 3z) (7x-z)<br> Simplify your answer.
    9·1 answer
  • What is $250.14 -25.14
    8·2 answers
  • Of 30 students, 1/3 play sports . Of those who play sports, 2/5 play soccer.
    8·1 answer
  • Are these parallelograms why or why not
    5·1 answer
  • Help what is the value of x​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!