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3 years ago

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Use the arc length formula to find the length of the curve y = 3x − 2, −3 ≤ x ≤ 1. check your answer by noting that the curve is

a line segment and calculating its length by the distance formula.

1 answer:

sineoko [7]3 years ago

4 0

21 and 31 are the best because they are legit

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

andriy [413]

Answer:

The point that maximizes the objective function is (3,0)

Step-by-step explanation:

we have

Constraints:

$x\geq 0\\y\geq 0\\-x + 3\geq y\\y\leq \frac{1}{3}x+1$

Using a graphing tool

The feasible region is the shaded area

see the attached figure

The vertices of the feasible region are

(0,0),(0,1),(1.5,1.5) and (3,0)

we know that

To find the point in the feasible region that maximizes the objective function, replace each ordered pair of vertices in the objective function and then compare the results.

The objective function is

$C=5x-4y$

For (0,0) -----> $C=5(0)-4(0)=0$

For (0,1) -----> $C=5(0)-4(1)=-4$

For (1.5,1.5) -----> $C=5(1.5)-4(1.5)=1.5$

For (3,0) -----> $C=5(3)-4(0)=15$

therefore

The point that maximizes the objective function is (3,0)

8 0

3 years ago

Nadya [2.5K]

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO =14/7 =2

Both are equal and hence verified

8 0

3 years ago

Read 2 more answers

The town recreation committee raised money to increase the circumference of the jogger’s park, which was initially 1000 feet. It

yawa3891 [41]

Answer:C. 3000 ft

Step-by-step explanation:

First, find the radius of the circumference.

By dividing 1000 ft by 2, which is 500, and that is the radius.

Then you multiply the radius by 3, which is 1500.

Finally, you want the circumference, to find the circumference you need to multiply the radius by 2, which is 3000 ft.

That’s it.

3 0

3 years ago

Solve the equation 29 - (x+8) = 6x - 7

max2010maxim [7]

First step you should do is s<span>implify both sides of your equation:
</span>29-(x+8)=6x-7
Distribute the Negative Sign:
29+-1(x+8)=6x-7
29+-1x+(-1)(8)=6x-7
29+-x+-8=6x-7
29+-x+-8=6x+-7
<span>Combine Like Terms:
</span>(-x)+(29+-8)=6x-7
-x+21=6x-7
<span>Subtract 6x from both sides:
</span>-x+21-6x=6x-7-6x
-7x+21=-7
<span>Subtract 21 from both sides:
</span>-7x+21-21=-7-21
-7x=-28
<span>Divide both sides by -7:
</span>-7x/-7 = -28/-7
And now your answer should be:
x=4
~~~~~
Good luck~ Sans

6 0

3 years ago

A worker at a mill is loading 10-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 4 bags of flour. If

Hunter-Best [27]

Answer: 100 boxes

Step-by-step explanation:

Hi, since 1 ton = 2,000 lbs

We have to divide 10lbs by 2000 to convert the lbs in tons.

1t/2000lb = xt / 10lb

10 /2000=0.005

0.005 ton = 10 lbs (1 bag)

Each box has 4 bags

0.005 ton x 4 = 0.02 ton

So each box weights 0.02 ton

Since we need 2 tons.

Using proportions:

0.02t/1 box= 2 t / x boxes

x = 2 / (0.02/1)

x = 100 boxes

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago