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2 years ago

Solve for w: -4u-w = u+6w

Mathematics

2 answers:

wlad13 [49]2 years ago

8 0

Answer:

Step-by-step explanation:

-4u - w = u + 6w

-4u = u + 7w (Add w to both sides)

-5u = 7w (Subtract u from both sides)

w = $-\frac{5u}{7}$ (Divide both sides by 7)

alexdok [17]2 years ago

7 0

Answer:

w=(-5u)/7

Step-by-step explanation:

-4u-w=u+6w

Combine like terms

-4u-u=6w+w

-5u=7w

Divide both sides by 7 to cancel it out on the right side and isolate w

(-5u)/7=(7w)/7

(-5u)/7=w

w=(-5u)/7

I hope this helps! If it did, a brainliest would be much appreciated :)

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What is the yield on a corporate bond with a $1000

White raven [17]

The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

Learn more about percentage discount here:

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1 year ago

Which expression is equivalent to 2(x^2-1) + 3x(x-4) (please show work)

Tema [17]

Answer:

5x^2-12x-2

Step-by-step explanation:

Use distributive property, then add like terms. See file below for steps.

4 0

2 years ago

Hey (; I'm taking this rigorous AP Stat course and I've mastered Binomial Sampling but this Geometric Sampling just has me stump

chubhunter [2.5K]

Answer:

1) It is geometric

a) In each trial you can obtain 11 or obtain something else (and fail)

b) Throw 2 dices and watch if the result is 11 or not

c) The probability of success is 1/18

2) It is not geometric, but binomal.

Step-by-step explanation:

1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.

A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.

In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.

2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.

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2 years ago

HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE R

Shkiper50 [21]

Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:
$9=2\pi r \\ \\ r= \frac{9}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31$

Number of 9 inches baseballs = $\frac{3,071,630.624}{12.31} = 249,513$

For baseballs of 9.25 inches:
$9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37$

Number of 9.25 inches baseballs = $\frac{3,071,630.624}{13.36} = 229,824$

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.

8 0

2 years ago

Can someone please help me with these?

Vikki [24]

Answer:

Step-by-step explanation:

One way to find the union of two sets is to list all the elements of both sets in order, then delete any duplicates.

Here, joining the two sets gives ...

{1, 6, 2, 3, 14, 2, 9, 13, 1}

Putting these elements into numerical order, we have ...

{1, 1, 2, 2, 3, 6, 9, 13, 14}

I have highlighted the duplicates. Deleting those gives us the desired union of the two sets:

X ∪ Y = {1, 2, 3, 6, 9, 13, 14} . . . . . matches choice C

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3 years ago