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3 years ago

5

A dog searching for a bone walks 3.50 m south, then 8.20 m at an angle of 30.0 degrees north of east, and finally 15.0 m west. U

se graphical techniques to find the dog's resultant displacement vector.

1 answer:

scoray [572]3 years ago

6 0

A dog searching for a bone walks 3:50

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There are 9 teachers and 5 aides at the Hills Elementary School. What is the ratio of teachers to all adults?

nexus9112 [7]

Answer:

C. $\frac{9}{14}$ , 9:14 , or 9 to 14

Step-by-step explanation:

With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of $\frac{9}{14}$ , 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.

7 0

3 years ago

Find all zeros<br>f(x)=x^4+6x^3+173x^2+332x+164

zheka24 [161]

The zeros are (-1,0)

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3 years ago

Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

$W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}$

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

8 0

3 years ago

What is the equation of the line perpendicular to the line y=3x+2 and passing through the point (3, -4)

aleksklad [387]

Answer:

<h2>D: y= -(1/3)x -3</h2>

Step-by-step explanation:

$(3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3$

5 0

3 years ago

Jamar is four times as old as Josh. In 20 years he will be twice as old as Josh. How old is Jamar?

Juliette [100K]

Simultaneous equations
Jamar=J
Josh=j
4J=j
20+J=2j
Then
4J=j
-4 (J)=-4(2j-20)
So
0=-7j+80
7j=80
j=80÷7

5 0

3 years ago