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3 years ago

-x^5 divided by the square root of 12x-9

Mathematics

1 answer:

Vladimir79 [104]3 years ago

7 0

-8.66667266 is the answer to you question.

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Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Vaselesa [24]

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

5 0

3 years ago

Suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 3 are diamonds?

Marat540 [252]

There are 13 diamonds in the deck, so $\dbinom{13}3$ ways of drawing 3 diamonds.

There is a total of $\dbinom{52}3$ ways of drawing any 3 cards from the deck.

So the probability of drawing 3 diamonds is

$\dfrac{\binom{13}3}{\binom{52}3}=\dfrac{11}{850}\approx0.012941$

where $\dbinom nk=\dfrac{n!}{k!(n-k)!}$ .

5 0

2 years ago

Math/Physics Problem <br> (I'd be glad if you solved one of them).

Whitepunk [10]

Answer:

19.2

76.8

Step-by-step explanation:

density × volume = mass

mass = 62.4 × (pi × (40/2)² × h)

mass = 78,374.4h

WD = m×9.8×h = 9.8mh

WD = 768,069.12h²

At h = 5

WD = 768,069.12×5²

= 19,201,728 ft-lb

= 19.2 million ft-lb

At h = 10

WD = 76,806,9.12 × 10²

WD = 76,806,912 ft-lb

= 76.8 million ft-lb

4 0

3 years ago

What is the slope of the line through (-4,2) and (3,-3)

lubasha [3.4K]

Answer:

-5/7

Step-by-step explanation:

Slope ,

=(y2-y1)/(x2-x1)

=(-3-2)/(3+4)

=-5/7

3 0

2 years ago

Read 2 more answers

The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

2 years ago