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1 year ago

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The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the

equation ℎ()=−.152+3.2

1 answer:

frez [133]1 year ago

8 0

Answer:

maximum height of 17.07 feet about 10.67 feet from the club

returns to the ground 21.33 feet away

Step-by-step explanation:

You might be interested in

Forest park campgrounds charges $100 membership fee plus $35 per night. Woodland campgrounds Charges a $20 membership fee plus $

noname [10]

Answer:

If camping for 4 nights, you should either of them since they cost the same. However, if camping for more than 4 nights, you should choose Forest park since it would be cheaper than Woodland.

Step-by-step explanation:

<em>Step 1: compare total price for 4 nights in each campground;</em>

Forest park= 100+(4*35)= $240

Woodland= 20+(4*55)= $240

Therefore, if camping for 4 nights, you should choose either of the two because they cost the same.

<em>Step 2: compare total price for camping more than 4 nights in each campground;</em>

Assume you plan to stay for 6 nights

Forest park= 100+(6*35)= $310

Woodland= 20+(6*55)= $350

4 0

1 year ago

stellarik [79]

C on that one which is the correct answer

5 0

1 year ago

Read 2 more answers

It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca

gregori [183]

Given:

It is recommended that adults consume at least 1,000 mg of calcium every day.

$25x+200y\geq 1000$

Step-by-step explanation:

Let, x be the quantity of milk in ounces and y be the quantity of cheddar cheese in ounces.

A person meets the recommendation, if

$25x+200y\geq 1000$

For option A,

Substitute x=50 and y=2 in the given inequality.

$25(50)+200(2)\geq 1000$

$1250+400\geq 1000$

$1650\geq 1000$

This statement is true. So, option A is correct.

Similarly,

For option B,

Substitute x=0 and y=4.5 in the given inequality.

$25(0)+200(4.5)\geq 1000$

$900\geq 1000$

This statement is false. So, option B is incorrect.

For option C,

Substitute x=10 and y=3 in the given inequality.

$25(10)+200(3)\geq 1000$

$850\geq 1000$

This statement is false. So, option C is incorrect.

For option D,

Substitute x=39 and y=0 in the given inequality.

$25(39)+200(0)\geq 1000$

$975\geq 1000$

This statement is false. So, option D is incorrect.

Therefore, the correct option is only A.

3 0

2 years ago

You earn 13.76/hr part-time and work 10hrs/wk. your deductions are FICA(7.65%), federal tax withholding (9.8%) and state tax wit

PSYCHO15rus [73]

$137.60    (gross pay)
$10.53      (FICA)
$13.18      (Federal Tax)
$9.81        (State Tax)
---------------------------------
$103.78    (Net Pay)
$77.84      (Deposit)
---------------------------------
$25.94      (To You)
$38.92      (To Savings)

4 0

2 years ago

Read 2 more answers

Two forces, F1 and F2, are represented by vectors with initial points that are at the origin. The first force has a magnitude of

Strike441 [17]

Answer:

Step-by-step explanation:

The two force F1 and F2 are represented by vectors with initial points that are at the origin.

the terminal point of the vector is point P(1, 1, 0)

Therefore, the direction of the vector force is

$v_1=(1-0)\hat i+(1-0)\hat j +(0-0)\hat k\\\\=1\hat i+1\hat j+0\hat k\\\\=\hat i + \hat j$

The unit vector in the direction of force will be

$\frac{v_1}{|v_1|} =\frac{\hat i+ \hat j}{\sqrt{1^2+1^2+0^2} } \\\\=\frac{1}{\sqrt{2} (\hat i +\hat j)}$

The magnitude of the force is 40lb, so the force will be

$F_1=40\times \frac{1}{\sqrt{2} } (\hat i+\hat j)\\\\=20\sqrt{2} (\hat i+\hat j)$

The terminal point of its vector is point Q(0, 1, 1)

Therefore, the direction of the vector force is

$v_2=(0-0)\hat i+(1-0)\hat j +(1-0)\hat k\\\\=0\hat i+1\hat j+1\hat k\\\\=\hat j + \hat k$

$\frac{v_2}{|v_2|} =\frac{\hat j+ \hat k}{\sqrt{0^2+1^2+1^2} } \\\\=\frac{1}{\sqrt{2} (\hat j +\hat k)}$

The magnitude of the force is 60lb, so the force will be

$F_2=60\times \frac{1}{\sqrt{2} } (\hat j+\hat k)\\\\=30\sqrt{2} (\hat j+\hat k)$

The resultant of the two forces is

$F=F_1+F_2\\\\=[20\sqrt{2} (\hat i+\hat j)]+[30\sqrt{2} (\hat j +\hat k)]\\\\=20\sqrt{2} \hat i+20\sqrt{2} \hat j +30\sqrt{2} \hat j+30\sqrt{2} \hat k\\\\=20\sqrt{2} \hat i+50\sqrt{2} \hat j+30\sqrt{2} \hat k$

The magnitude force will be

$|F|=\sqrt{(20\sqrt{2} )^2+(50\sqrt{2} )^2+(30\sqrt{2} )^2} \\\\=\sqrt{800+5000+1800} \\\\=\sqrt{3100} \\\\=55.68$

to (1 decimal place)=55.7lb

b) The direction angle of force F

The angle formed by F and x axis

$\alpha=\cos^{-1}(\frac{20\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(0.5080)\\\\=59.469$

The angle formed by F and y axis

$\alpha=\cos^{-1}(\frac{50\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(1.270)\\\\=$

The angle formed by F and z axis

$\alpha=\cos^{-1}(\frac{30\sqrt{2} }{\sqrt{3100} } )\\\\=\cos^{-1}(0.7620)\\\\=40.359$

8 0

1 year ago