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Elis [28]
3 years ago
6

An engineer is making adjustments on a satellite, because he finds it is not focusing the incoming radio waves perfectly. The sh

ape of his satellite can be modeled by the equation (y − 3)2 = 2(x − 2), where x and y are measured in inches. He realizes the static is a result of the feed antenna shifting lightly off the focus point. How many inches in front of the vertex should the feed antenna be?
Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

The answer is 1/2 inches

Step-by-step explanation:

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Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24
Ludmilka [50]

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

3 0
3 years ago
The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s
Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2  

H1 : u1 ≠ u2

x ( mean ) = 46.77,  y ( mean ) = 50.13 ,

s1^2 = 39.69,  s2^2 = 28.41,   n1 = 9 ,   n2 = 8

therefore :

Sp^2 = \frac{n1s1^2 + n2s2^2}{n1 + n2-2} =  38.96  ≈ 39

performing test statistic

t = \frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }    = \frac{-3.36}{3.0330} = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13  therefore e accept H0 at 5% .    This shows that there is no difference in sales

5 0
2 years ago
a 2-yard By 3-yard plot of land has an area of 6 square yards. what is the area in square feet. hint convert the original measur
ehidna [41]
1 yard = 3 feet 
2 yards = 6 feet 
3 yards = 9 feet 

area= L(W) 

6(9)= 54 square ft
The plot of land has an area of 54 square feet. 


8 0
3 years ago
Read 2 more answers
Daisies phone calls for an ask her to meet at the park in exactly 40 minutes which method should daisy use to most accurately de
NeX [460]

She should keep in mind the time the call was placed


8 0
3 years ago
Read 2 more answers
1. The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies
Lorico [155]
1.) <span>the ratio of the note A to middle C = 440.0 / 261.6 = 1.6820 ≈ 1.6818

2.) </span><span>the ratio of the note D to middle C = 293.7 / 261.6 = 1.1227

3.) </span><span>D# = 293.6 x 1.0595 = 311.1

4.) </span><span>the ratio of the frequency of G to C is 1 : 262/392 = 1 : 0.6683 ≈ 3 : 2

5.) </span><span>the ratio of the frequency of E to C = 1 : 262/330 = 1 : 0.7939 ≈ 5 : 4

6.) The </span><span>component in a musical note is referred to as the pitch of a sound is the frequency.</span>
8 0
2 years ago
Read 2 more answers
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