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3 years ago

12

If u = <-7, 6> and v = <-4, 17>, which vector can be added to u + 3v to get the unit vector <1, 0> as the resu

ltant vector?

1 answer:

Katarina [22]3 years ago

4 0

Answer:

idk

Step-by-step explanation:

idk

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Write 4,706 × 10 11 in standard notation

aleksandrvk [35]

I am guessing that is 1011? Just to be safe, I will do 4706*10 and 4706*1011.

4706*10: So, 4,706 times 10 is 47060

4706*1011: 4,706 times 1011 is 4757766

Standard notation is the normal way of writing numbers. So the answers I wrote are all in Standard notation.

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3 years ago

What is the lcm of 60

Crazy boy [7]

You need more numbers

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3 years ago

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For three consecutive plays, the Patriots gained

seraphim [82]

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

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3 years ago

a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Probability of selecting a water bottle:

$\dfrac{30}{50} = \dfrac{3}{5}$

Probability of selecting a lemon flavored bottle from water bottle:

$\dfrac{8}{30}$

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em> $\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}$ <em></em>

<em></em>

Probability of selecting a tea bottle:

$\dfrac{20}{50} = \dfrac{2}{5}$

Probability of selecting a lemon flavored bottle from tea bottle:

$\dfrac{5}{20} = \dfrac{1}{4}$

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em> $\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}$ <em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em> $\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}$ <em></em>

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3 years ago

A radio telescope has a parabolic surface, as shown below. If the telescope is 5 m deep and 40 m wide, how far is the focus from

Montano1993 [528]

Answer:

i think the answer is 8m

Step-by-step explanation:

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3 years ago