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Shalnov [3]
3 years ago
13

Hey :)

Mathematics
2 answers:
Slav-nsk [51]3 years ago
8 0
Vertex = (3, 5)
focus = (3, 7)
directrix is y = 3
Harlamova29_29 [7]3 years ago
4 0
 <span>parabola vertex form 
y= a(x-h)^2 + k => symmetry: x = h 
or x = a(y-k)^2 + h => symmetry: y = k 
(h,k) => vertex 
a = 1/4c 
c : distance between vertex and focus or directrix. 
......................................... 

x^2 – 6x – 8y + 49 = 0 
8y = x^2 - 6x + 49 = (x-3)^2-9+49 = (x-3)^2 + 40 
y= 1/8 (x-3)^2 + 5 
a = 1/8 = 1/4c 
c = 2 

vertex: (3, 5) 
focus: (3, 7) 
directrix: y = 3</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.
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Given:

Speed= \bold{9.2 \ \frac{miles}{hour}}  

\therefore \\\\

1-hour= 60 minutes

1-minutes=60 second

So

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

       =\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\

When 3600 seconds covers=9.2 miles

Then equation:

=\bold{\frac{9.2}{3600}}\\\\

390 seconds covers:

=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\  

Let

\bold{1 \ miles= 1760\ yard}\\\\

Convert the traveling value into yards:

=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\

Therefore, total traveling yards are"1754.072".  

Learn more:

brainly.com/question/20282942

7 0
2 years ago
Read 2 more answers
Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f
Alex

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

margin of error (ME) of the mean can be calculated using the formula

ME=\frac{z*s}{\sqrt{N} } where

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for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

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3 years ago
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Eddi Din [679]

Answer:

Step-by-step explanation:

5 0
3 years ago
A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
SSSSS [86.1K]

Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

2369.857704098921

4 0
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Why does the equation y = 3x + 5 NOT represent a proportional relationship?
Step2247 [10]

Answer:

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

This is the equation of the line in slope intercept form

where

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

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