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3 years ago

Q12: What is the value of 2/3 (-9 + 3)?

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

first you do the parenthesis

you end up with

2/3(-6)

then multiply

the final answer is -4

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describe and correct the error a student made finding the intercepts of the graph of the line 4x-6y=12

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Answer:

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Step-by-step explanation:

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3 years ago

James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server

Stels [109]

Answer:

$37.50

Step-by-step explanation:

$60 x .25 = $15 (tip)

$60 (meal) + $15 (tip) = $75

$75 ÷ 2 (# of people splitting the cost) = $37.50

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3 years ago

A worker fills a 15,000-gallon

Oksanka [162]

150 minutes. (15,000/2)=7,500 which is 1/2 of the pool. If it fills 50 gallons per minute you’ll want to divide that by 50;(7,500/50) which equals 150

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3 years ago

Determine the projection of w onto u

natali 33 [55]

Answer:

c. 6.2i - 4.2j

Step-by-step explanation:

The vector projection when the angle θ not known can be calculated using the following property of the dot product:

$proj_uv=\frac{u\cdot v}{||u||^2} u$

Where the dot product of two vectors is given by:

$u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$$

And the magnitude of a vector is given by:

$||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}$

Using the previous definition, let's calculate the projection of w onto u:

First let's calculate the dot product between w and u:

$u\cdot w =(9*19)+(-6*15)=171-90=81$

Now let's find the magnitude of u:

$||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}$

So:

$||u||^2=117$

Therefore:

$proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.14\rangle\approx6.2i-4.2j$

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3 years ago

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Five male German Shepherds were chosen and measured. Their heights were the following: 24, 25, 23, 24, 24

anygoal [31]

The correct answer is 2.

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3 years ago

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