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2 years ago

Janet is drawing the path formed by the parametric equations x=2+3 sin t and y=1-1/2cos t. Which curve did she draw??

1 answer:

7 0

Sin²t +cos²t =1

 x=2+3 sin t
sin t=(x-2)/3

y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)

(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse

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Brittany's mom gave her $15.00 to buy school supplies. Brittany needs to buy 3 notebooks and some mechanical pencils. If each no

ElenaW [278]

Answer:

4 mechanical pencils

Step-by-step explanation:

Each notebook is worth $2.99

So buying 3 of the notebooks would leave her with $8.97

Then, $15.00 - $8.97= $6.05

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2 years ago

Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of

il63 [147K]

(y - 0.18y) * 1.08
Just explain what each part of it means and try to make it seem long.

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2 years ago

Read 2 more answers

Mike and Krista rent a jet ski while on vacation. The rental cost is represented by the function c(h)=50+20h, where the number o

Step2247 [10]

Answer:

130

Step-by-step explanation:

Given the equation of the relation as c(h) =50 +20 h where c(h) is the total cost for h hours and h is the number of hours of use, then to find the cost of jet ski if 4 hours were used will be;

c(h)=50 +20 h

c(4)=50 +20*4

c(4)=50 +80

=130

5 0

2 years ago

When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one

Vladimir [108]

Answer:

The least amount spent is £12.92

Step-by-step explanation:

Given

Number of Carton = 38

A carton = 45 pence

4 carton = £1.56

To spend the least amount of money, be needs to go for the least expensive option.

There are 100 pence in £1

So, there are x pence in £1.36

x * 1 =1.36 * 100

x = 136 pence for 4 carton.

To get the price of 1 carton, divide x by 4

x/4 = 136p/4

x/4 = 34 pence.

This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.

The smallest of this is 34p.

Hence total amount spent =

34 * 38

amount = 1292p --- convert to £

Amount = 1292/100

Amount = £12.92

Hence, the least amount spent is £12.92

5 0

2 years ago

Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap

Salsk061 [2.6K]

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

$Z_{1} = \frac{X_{1} -mean}{S.D}$

$Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666$

Given that X₂ = 4.3mm

$Z_{2} = \frac{X_{2} -mean}{S.D}$

$Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666$

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

= P(Z≤2.666)-P(Z≤-2.666)

= 0.5 +A(2.666) - (0.5-A(2.666)

= 2 × A(2.666)

= 2×0.4961

= 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = 0.9922

3 0

1 year ago