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Firlakuza [10]
3 years ago
10

The equation for the cross-section of a parabolic satellite TV dish is stated below, measured in inches. How far is the focus fr

om the vertex of the cross-section? _____ in. Enter a number, rounded to the nearest tenth.
y=1/38x^2
Mathematics
1 answer:
leonid [27]3 years ago
3 0
<span> The coordinates of the focus are </span><span><span>(<span>h,k+<span>1/<span>4a</span></span></span>)</span><span>(<span>h,k+<span>1/<span>4a</span></span></span>)

y=1/38*x^2
here h=0,k=0 ,a=1/38

so if we put values to find focus
focus(0,0+1/4*1/38)=(0,9.5)
</span></span><span>
</span>
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A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat
Yuki888 [10]

A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.

from the given table

when x=0 , y=20

when x= 1 , y = 30

We use this information to find exponential growth equation

General form of exponential growth is

y=a(b)^x

WE plug in the given values and find out value of a  and b

when x=0 , y=20

20=a(b)^0

20 = a

Now we find out b

when x= 1 , y = 30

30=20(b)^1

divide both sides by 20

\frac{3}{2} = b

So exponential function becomes

y=20(\frac{3}{2})^x

Now we find the insect population at the end of week 11

We plug in 11 for x

y=20(\frac{3}{2})^x

y=20(\frac{3}{2})^11= 1729.951171875

Round the answer to nearest whole number

1730 is the insect population at the end of week 11

5 0
3 years ago
Anyone know the area of the blue area?
Studentka2010 [4]
First, find the area of the larger sector (the 360-130=230 degree sector), then add the area of the triangle.
area of the larger sector:(230/360)π*11.1²≈247.17
area of the triangle when two sides and the angle between the two sides are given: (absinФ)/2. In this case, a=11.1, b=11.1, Ф=130
(11.1*11.1*sin130)/2≈47.19
the total area is 247.17+47.19≈294.4
Please use your calculator to double check my numbers.
4 0
3 years ago
Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recor
Softa [21]

Answer:

a)- Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Option (a) is correct here because Relative frequency means the probability of occurrence or number of time-specific event occurs to the total event.

Option (b) is not correct because We already know that student is in 10th or 11th grade, after that we get to know about 14% chance.

Option (c) & (d) are clearly not possible.

5 0
3 years ago
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The solution to 2x+8&gt;10 is x&lt;1 <br> true or false
Morgarella [4.7K]

Answer:

false

Step-by-step explanation:

correct me if this is wrong, but it's actually x>1

5 0
3 years ago
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Use the distributive property to match equivalent expressions.
vekshin1

Answer: 7(-4-x) —> -28-7x. 7(4+x) —> 28+7x. -7(-4+x) —> 28-7x. -7(4-x) —> -28+7x

Step-by-step explanation:

7 0
3 years ago
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