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tankabanditka [31]
3 years ago
8

an engineer is designing a parabolic arch. the arch must be 15 m high, and 6 m wide at the height of 8 m. Determine a quadratic

function that satisfies these conditions.  
Mathematics
1 answer:
Step2247 [10]3 years ago
4 0
Let's assume we've got our maximum at 0 (this simplifies things). We need f(0)=15.
Also, to make it 6m wide at a height, we have to set f(3)=8 and f(-3)=8. Now we have:
c=15 \\ 9a+3b+c=8 \\ 9a-3b+c=8
We could easily notice that b=0 and c=15, let's find a: 9a+15=8 or 9a=-7 or a=-\frac{7}{9}
The function is f(x)=-\frac{7}9x^2+15
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The perimeter of Jonah's square backyard is 56 meters. What is the area of Jonah's backyard?
USPshnik [31]
If it is a square you would divide the 56 by 4, getting you to where each side equals 14 meters. 14x14=196 meters squared  
8 0
4 years ago
When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus
Blababa [14]

Answer:

By the Empirical Rule, \pm 3\sigma

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The symbol of a standard deviation is \sigma. So

When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus how many sigma?

By the Empirical Rule, \pm 3\sigma

5 0
3 years ago
For what values of x is the expression below defined?
aleksklad [387]

Answer:

C:  x > 0

Step-by-step explanation:

Division by zero is undefined.  That 5x in the denominator must be > 0 for the whole expression to be defined.  Thus, C:  x > 0 is the correct answer here.

3 0
4 years ago
Read 2 more answers
Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely each
aniked [119]
This is how we solved and make the equation.
Stock A = 100
Stock B = 45

For the past months, his stocks inversely decreased.
Stock A = m cents / share
Stock B = n cents * share

So the equation is
= 100 (0.01m) + 45 (0.01n)
<span>= m + 0.45n</span>
6 0
3 years ago
Pandora has hired 14 employees to make sales calls to prospective customers. They each make 76 calls per day and have 68 people
dsp73

Answer:

0.048 is the process yield of the group hired by Pandora.

Step-by-step explanation:

Number of employees hired by Pandora = 14

Each employee made the calls = 76

Total number of calls made by the employees = 14×76

                                                                             = 1064

Out of 68 people number of people who subscribed = 51

Therefore, group's process yield = \frac{\text{Number of customers subscribed}}{\text{Total number of calls}}

= \frac{51}{1064}

= 0.04793

≈ 0.048

0.048 is the process yield of the group hired by Pandora.

5 0
3 years ago
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