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ASAP

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer:

The projectile will hit the ground after 38.8 seconds.

Step-by-step explanation:

You know that the height s (t) in feet of the projectile after t seconds is given by the function

s(t) = - 16t² + 600t + 800.

To know the time at which the projectile will hit the ground, you must replace s(t) by height 0:

0=- 16t² + 600t + 800

This is a quadratic function of the form ax2 + bx + c, where a= -16, b=600 and c=800.

To solve a quadratic function, you must apply the expression:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case:

[tex]x1,x2=\frac{-600+-\sqrt{600^{2}-4*(-16)*800 } }{2*(-16)}[/tex]

Solving:

[tex]x1,x2=\frac{-600+-\sqrt{360000+51200 } }{-32}[/tex]

[tex]x1,x2=\frac{-600+-\sqrt{411200 } }{-32}[/tex]

[tex]x1,x2=\frac{-600+-641.25 }{-32}[/tex]

So:

[tex]x1=\frac{-600+641.25 }{-32}[/tex]

[tex]x1=\frac{41.25 }{-32}[/tex]

x1= -1.289 seconds

and

[tex]x2=\frac{-600-641.25 }{-32}[/tex]

[tex]x2=\frac{-1241.25 }{-32}[/tex]

x2= 38.789 ≅ 38.8 seconds

Time cannot be negative. So, the projectile will hit the ground after 38.8 seconds.

Answer:

For a function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

While a reflection across the x-axis is written as:

g(x) = -f(x)

So, if the negative sign is outside the transformation, like in:

g(x) = -f(x + 2) - 8

We can conclude that this is a reflection over the x-axis.

While if the "x" inside the function has a negative sign, like in:

g(x) = 5*f(-x + 4) - 3

The reflection is over the y-axis.

Answer:72 miles

Step-by-step explanation:

Answer:

A. Ratio boys to girls ---> 19 : 26

B. Ratio of 5th grade to 6th grade ---> 21 : 24

C. Ratio of girls to total number of chorus students ---> 26 : 45

Step-by-step explanation:

A. the amount of boys is 9 + 10, the amount of girls is 12 + 26

B. the amount of 5th graders is 12 + 9, the amount of 6th graders is 14 + 10

C. the number of girls is 12 + 14, and the number of chorus students is 12+9+14+10

Answer:

y = 4x + 12

Step-by-step explanation:

The slope of the line y = 4x - 9 is 4.

The slope of the line we are looking for is also 4.

y - y1 = m(x - x1)

y - 4 = 4[x - (-2)]

y - 4 = 4(x + 2)

y - 4 = 4x + 8

y = 4x + 12

Answer: y = 4x + 12

Answer:

Step-by-step explanation: You have to split the shape up into smaller shapes

Answer:

27 m^2

Step-by-step explanation:

Area of first rectangle:

5 * 1 = 5

Area of second rectangle:

7 * 1 = 7

Area of third rectangle:

5 * 3 = 15

The addition of each area:

5 + 7 + 15 = 27

This means that the area of this figure is 27 m^2

Step-by-step explanation:

Use this polynomial.

[tex] - x {}^{4} +9x {}^{3 } + 13 {x}^{2} - 45x - 50[/tex]

A degree 4 means our leading coefficient looks like.

[tex] {x}^{4} [/tex]

Since our degree is 4, our turning points would be 3.

Since we have three roots, we need two single roots and a double root.

A negative leading coefficient would have a negative sign in front of it.

Use another site to help graph the actual graph

Answer:

i think its D

Step-by-step explanation:

i think its D

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Step-by-step explanation:

Calculating your loan-to-value ratio

Current loan balance ÷ Current appraised value = LTV.

Example: You currently have a loan balance of $140,000 (you can find your loan balance on your monthly loan statement or online account). ...

$140,000 ÷ $200,000 = .70.

Current combined loan balance ÷ Current appraised value = CLTV.

Answer:

try to write the equation from the information below

Step-by-step explanation:

you don't mention how much the car costs and I assume the questions is how many weeks does he have to save to buy the car.

since starts out with $137 dollars you know he's going to add $25 each week.

total saved at the end of one week is 137 + 25

total saved at the end of two weeks is 137 + 50

total saved at the end of three weeks is 137 + 75

can you write the equation for the totaled saved at the end of "W" weeks?

Answer:

Here’s a an answer b

Step-by-step explanation:

Answer:

B. investment A will be worth more because the total of the principal and the interest earned for investment A is greater than the same total for investment

Step-by-step explanation:

Got it right on edg.2021

Answer:

If 55 + 5x = 0 then x = -11

Step-by-step explanation:

To find x just get it by itself

55 + 5x = 0

subtract 5x

55 = -5x

then divide by -5

-11 = x

Answer:

the answer is D :)

Step-by-step explanation:

Answer:

the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the  rope.

7 foot

Step-by-step explanation:

Here is the full question :

A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches

Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot

What is the diameter of the tree trunk

the circumference of a circle = πD

π = 22/ 7

D = diameter

we need to convert 21 feet 8 inches to foot

1 inch = 0.0833333 foot

8 x 0.0833333 = 0.667

0.667 + 21 = 21.667 foot

21.667 = 22/7 x diameter

diameter = 21.667 x 7/22 = 6.89 foot

The nearest half foot of 6.89 is 7.

7 foot

Answer:

A = 11²/{4π}

Step-by-step explanation:

The circumference equation is C = 2πr.  Thus, r = C / (2π), and:

         C²                                                   (22π)²          2²11²π²             11²  

r² = ----------     so, if C = 22π units, r² = -------------- = ---------------- = -------------

       (2π)²                                                    (2π)^4        (2π)²(2π)²       (2π)²

             11²π²

or  r² = ---------------

The area equation for a circle is A = πr² which here is π·11²/(2π)²

This reduces to 11²/{4π}

Answer:

Area of a rectangle that is 9 units² + Area of a rectangle that is 4 units²

Step-by-step explanation:

Line PQ is 1 unit because 3 units - 2 units = 1 unit

Line PO is 4 units because 7 units - 3 units = 4 units

1 unit × 4 units = 4 units²

4 units² + 9 units² = 13 units²

Answer:

adding an answer so the other guy can get brainlist!

Step-by-step explanation:

Answer:

opposite angles

Step-by-step explanation:

Answer:

P=21.99 using 3.14 as pi

Step-by-step explanation:

THey probably forgot to divide the perimeter of the ciircle by 2

Answer:

I think its meant to be 2+7*2+3.14.

please give be brainiest

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

h

Tn = a + (n-1) d

= 3 + (n-1) (-4)

= 3 -4n +4

= 7-4n

hope it helped you dear

Answer: B ( 629.6 cubic feet)

Step-by-step explanation: