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2 years ago

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9−x, y=3x−3, and x=0 about the y-axis.

Mathematics

1 answer:

lora16 [44]2 years ago

6 0

Answer:

ifvikrkivkiti

Step-by-step explanation:

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Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function

musickatia [10]

The domain is ur x values.....it is 0 < = g < = 20
ur range is ur M(g) values....its 0 < = M(g) < = 340

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2 years ago

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Jose is applying to college. He receives information on 7 different colleges. He will apply to all of those he likes. He may lik

marta [7]

Answer:

128 posibilities

Step-by-step explanation:

We have 7 colleges (A,B,C,...,H) which form a set with seven elements.

What you are asking is the number of elements (or cardinality) of the set that contains all possible sets formed by those 7 elements (or the "power set").

It is known that if n is the number of elements of a given set X, then the cardinality of the power set is $2^n$ .

Therefore, there are $2^7$ or 128 possibilities (or elements) for the set of colleges that he applies to.

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2 years ago

Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr

Marysya12 [62]

Answer:

$x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}$

Step-by-step explanation:

Given the following quadratic equation:

$x^2 = -11x + 4$

The steps to solve it are:

1. Move the terms to one side of the equation:

$x^2+11x- 4=0$

2. Apply the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$ .

In this case we can identify that:

$a=1\\b=11\\c=-4$

Then, substituting these values into the Quadratic formula we get the following solutions:

$x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}$

$x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}$

3 0

2 years ago

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The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

ziro4ka [17]

Answer:

-2

Step-by-step explanation:

8 0

1 year ago

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People at the state fair were surveyed about which type of

Ronch [10]

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

Pink Lemonade Yellow Lemonade TOTAL

Male 156 104 260

Female 72 48 120

TOTAL 228 152 380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

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2 years ago