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3 years ago

14

If A is the subset of B, then A intersects B =B or A is a union B = B

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer: A union B = B

The first one should’ve said A intersects B = A because the entirety of A exists in B

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Morgarella [4.7K]

Can you provide a picture?

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2 years ago

A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is f

zaharov [31]

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time $t$

At $t=0, the weight of the bucket is 6+36=42 \mathrm{lb}$

After $t$ seconds, the weight of the bucket is $42-0.15 t \mathrm{lb}$

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after $t$ seconds is $x=1.5 t$

Since the well is 80 ft deep, the time to pull out the bucket is $\frac{80}{2}=40 \mathrm{~s}$

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

$W=\int_{t=0}^{t=36} F d x$

Use $x=1.5 t$ and $F=42-0.15 t$

$W=\int_{0}^{36}(42-0.15 t)(1.5 d t)$

$=\int_{0}^{36} 63-0.225 t d t$

$=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}$

$=\left[63 t-0.2 t^{2}\right]_{0}^{36}$

$W=3200 \mathrm{ft} \cdot \mathrm{lb}$

4 0

3 years ago

BRAINLIEST AND POINTS!!!<br><br> PLEASE EXPLAIN

timofeeve [1]

Answer:

Option C. $\$23,134.61$

Step-by-step explanation:

we know that

$A=\frac{P[(1+r)^{n} -1]}{r(1+r)^{n}}$

we have

$P=\$400$

$r=0.075/12=0.00625$

$n=6*12=72\ months$

substitute in the formula

$A=\frac{400[(1+0.00625)^{72} -1]}{0.00625(1+0.00625)^{72}}\\ \\A=\frac{226.446972}{0.009788}\\ \\A=\$23,134.61$

4 0

3 years ago

Chris has $100 in his savings account and he adds $20 a month to the account. The total amount can be represented by the linear

Greeley [361]

He should change how much he puts into his account each month to $50

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3 years ago

Read 2 more answers

Multiply each of the following(X+7)and(y-7)

ExtremeBDS [4]

Answer:

xy-49

Step-by-step explanation:

x x y is xy and -7x7 is 49 so the answer is xy- 49

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2 years ago