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3 years ago

What is the 42nd term of the sequence 12.25, 14.50, 16.75,...?

1 answer:

4 0

T3 - T2 = T2 - T1
16.75 - 14.50 = 14.50 - 12.25
2.25 = 2.25

so this is arithmetic progression

T42 = 12.25 + 41(2.25)
= 12.25 + 92.25
= 104.5

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Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

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2 years ago

What is the probability of getting a number greater than or equal to 5 when rolling a number cube numbered 1 to 6?

Dima020 [189]

Answer:

There is a 1/3 (or 0.33%) probability of rolling a number greater than or equal to 5.

Step-by-step explanation:

First, find what numbers are greater than or equal to 5:

5 and 6

Find what options you can get on a number cube:

1, 2, 3, 4, 5, and 6

Out of the 6 possible outcomes, there are only 2 that will get a number greater than or equal to 5. Write this as a fraction:

2/6

Simplify:

1/3

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2 years ago

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th

professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = $\frac{5}{6} .$

Fraction of smoothie were of strawberry = $\frac{1}{12} .$

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

$\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}$

Therefore, the fraction of smoothies sold were either banana or strawberry is $\frac{11}{12}.$

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3 years ago

the distance from the earth to the sun is about 93,000,000 miles. how many pennies would it take to make a stack that high? plss

Sergio039 [100]

Well first find out how big a penny is then divide that by 93,000,000

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2 years ago

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In the figure below, ∠1 and ∠4 are a pair of ? angles. (Give the correct term.)

Digiron [165]

Vertical opposite angles.

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3 years ago