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2 years ago

Write the equation of a line parallel to the line y=5x+2 that goes through the point (-4, 3).

Mathematics

1 answer:

almond37 [142]2 years ago

5 0

Answer:

a line parallel to the line y = 5x + 2 ---> y' = 5x + b (b ≠ 2)

y' = 5x + b goes through (-4, 3) ---> 3 = 5 × ( -4 ) + b ---> b = 23

⇒ y' = 5x + 23

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A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati

eduard

Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%

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3 years ago

Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a w

julia-pushkina [17]

Answer:

Step-by-step explanation:

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3 years ago

Micheal wants to find the length of a shadow of a tree. He measures the height of a fence post and the length of the shadow it c

Arlecino [84]

Im pretty sure the answer is 92.0 becauese
if you do 10.5x3.5 5x5=25 5x0+2=7 5x1=5 so that will be 57.5 then your going to do 3x5=15 3x0+1=4 3x1=3 that equals 34.5 then your going to add 57.5 +34.5
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3 years ago

Idek how to explain this but please help me

Leno4ka [110]

Answer:

Put 4 in the place of x then you'll get

$\frac{10}{22}$

3 0

2 years ago

Read 2 more answers

5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.

lesya692 [45]

9514 1404 393

Answer:

±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

|x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

A·cos(c) = 3 and A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

(A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

x = A·sin(θ +c) . . . . for some angle c

x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0

2 years ago