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3 years ago

8

If Stevie can swim 16 laps in 4 minutes, how many can she swim each minute?

1 answer:

Finger [1]3 years ago

3 0

Stevie can swim 4 laps each minute.

16/4=4

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Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v = 5i + j + 3k.

Assoli18 [71]

Answer:

94 cubic units

Step-by-step explanation:

The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product $|\vec{t}\cdot (\vec{u}\times \vec{v})|$

Since

$\vec{t}=3\vec{i}-4\vec{j}-6\vec{k}=(3,-4,-6)\\ \\\vec{u}=3\vec{i}-7\vec{j}-7\vec{k}=(3,-7,-7)\\ \\\vec{v}=5\vec{i}+\vec{j}+3\vec{k}=(5,1,3)$

we have

$|\vec{t}\cdot (\vec{u}\times \vec{v})|=\left|\left|\begin{array}{ccc}3&-4&-6\\3&-7&-7\\5&1&3\end{array}\right|\right|=|3\cdot (-7)\cdot 3+(-4)\cdot (-7)\cdot 5+3\cdot 1\cdot (-6)-5\cdot (-7)\cdot (-6)-3\cdot (-7)\cdot 1-3\cdot (-4)\cdot 3|=|-63+140-18-210+21+36|=|-94|=94\ un^3.$

4 0

3 years ago

Noah rides his bike for 14 miles in 1 hour. what is his average speed in miles per hour?

Delicious77 [7]

14 mph is the answer

5 0

3 years ago

Read 2 more answers

Which of the following is an arithmetic sequence?

solong [7]

Answer:

B

Step-by-step explanation:

It's adding 7 every time.

So, it's an arithmetic sequence.

6 0

3 years ago

You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded dai

valina [46]

Answer:

$1,725.39

Step-by-step explanation:

-Take 1 year =365 days.

#We calculate the effective interest rate for 7% compounded daily;

$i_m=(1+i/m)^m-1\\\\=(1+0.07/365)^{365}-1\\\\=0.072501$

#We now use this rate to calculate the compounded amount after two years:

$A=P(1+i_m)^n\\\\=1500(1.072501)^2\\\\=1725.39$

Hence, the balance after 2 years $1,725.39

7 0

3 years ago

Mark is slicing a tomato for 4 members of his famimy.Each person will get 1/6 of the tomato.What fraction of the tomato will Mar

Sergio [31]

Answer:

4 times $\frac{1}{6}$ = $\frac{2}{3}$

Step-by-step explanation:

we have 4 of $\frac{1}{6}$

so $\frac{1}{6}$ + $\frac{1}{6}$ + $\frac{1}{6}$ + $\frac{1}{6}$ =4x $\frac{1}{6}$ = $\frac{4}{6}$ = $\frac{2}{3}$

6 0

4 years ago