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STALIN [3.7K]
2 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.
Mathematics
1 answer:
scoray [572]2 years ago
6 0
A dog searching for a bone walks 3:50
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x= ?

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What is the height of the Tree?<br> 2 m<br> 3 m<br> 30 m
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Answer:

The height of the tree is 3m

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2 years ago
PetSmart.com sold the following varieties of dog food in June 2003.
aivan3 [116]

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.

From the first equation z=10-\dfrac{2}{3}x-\dfrac{7}{12}y. Substitute it into the second equation:

4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.

Simplify it:

-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35<0;
  • thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

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3 years ago
Mrs. Hoffnagle's class is practicing skip counting by 30's . The first student said 30, the second said 60, and the third said 9
nadezda [96]

Answer:

120

Step-by-step explanation:

It’s like counting by 3’s and adding a 0

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30,60,90,120

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2 years ago
Find all roots: x^3 + 7x^2 + 12x = 0<br> Show all work and check your answer.
enot [183]

Answer:

x=0,x=-4,x=-3

Step-by-step explanation:

The given equation is

x^3 + 7x^2 + 12x = 0

Factoring by x:

(x^2 + 7x + 12)x = 0

One of the root is x=0. Let's solve the parentheses.

Expanding the trinomial

x^2 + 4x+3x + 12=0

Factoring

x(x + 4)+3(x + 4)=0

Factoring

(x + 4)(x+3)=0

This will give us the two remaining roots

x=-4,x=-3

3 0
3 years ago
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