What is the difference in length between the longest meteor and the shortest meteor? (4 points)

Answer:

[tex]W_{max}=320m\\ L_{max}=160m[/tex]

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, [tex]\implies [/tex] 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

[tex]A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2[/tex]

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

Since our function is A(L)=640L-2L², we get

plug in the value of a and b into the first formula:

[tex]L_{max}=-(640)/2(-2)\implies 160 [/tex]

[tex]A(L)_{max}=640(160)-2(160)^2\implies 51200 [/tex]

hence,the dimensions of the pen that will maximize the area are L=160m and W=51200/160=320m

and we're done!

Answer:

width (x) = 160 m

length (y) = 320 m

(refer to the attached diagram)

Step-by-step explanation:

**see attached diagram**

Let x = width of the pig pen

Let y = length of the pig pen

(where length > width)

Given:

⇒ 2x + y = 640 m

⇒ y = 640 - 2x

Area of the pig pen = width × length

⇒ f(x) = xy

Substituting y for y = 640 - 2x:

⇒ f(x) = x(640 - 2x)

          = 640x - 2x²

Now we have a function for the area of the pig pen, to find the value of x that will maximize the area, differentiate the function:

⇒ f'(x) = 640 - 4x

Set it to zero and solve for x:

⇒ f'(x) = 0

⇒ 640 - 4x = 0

⇒ 640 = 4x

⇒ x = 160

Substitute the found value of x into y = 640 - 2x to find the length:

⇒ y = 640 - 2(160) = 320

Therefore, the dimensions of the pen that will maximize the area are:

Answer:

B. 9 cubic units

Length×width×height

Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]

Step-by-step explanation:

We can solve this system of equations through elimination

Add (4x+y=9) with (2x-y=4)

[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]

Now that y is canceled out we can solve for x

[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]

Now sub back x into one of the original equations to find the value of y

[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]

Answer:

B) Graph B

Step-by-step explanation:

Answer:

I dunno how do sorry mann

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x= 0.3010/-0.699.

x= = -0.4306….

x= = -0.4.

(0.2)x = 2.

Taking log on both sides

log (0.2)x = log 2.

x log (0.2) = 0.3010, [since log 2 = 0.3010].

x log (2/10) = 0.3010.

x [log 2 - log 10] = 0.3010.

x [log 2 - 1] = 0.3010,[since log 10=1].

x[-0.699] = 0.3010.

x = 0.3010/-0.699

x = -0.4306

x= -0.4 (nearest tenth)

Answer:

-25

Step-by-step explanation:

f(-12) means x = -12

so you just plug it in the equation and solve for x

[tex]f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25[/tex]

A: based on the given dot plot are: statements B, D, and E.

B:  A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.

In a dot plot, frequencies of each data point is represented as dots.

Part A:

Thus, in the dot plot given:

Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).

Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).

One of the player is 68 1/2. (option C is not true).

Four of the players are 74 in. tall (option D is true).

The team has 6 different heights as shown in the dot plot given (option E is correct).

Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.

Part B:

If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.

Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.

Learn more about dot plots on:

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[tex]x = 4 \cos(a) [/tex]

[tex] \frac{x}{4} = \cos(a) \\ [/tex]

[tex]( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ [/tex]

[tex] \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ [/tex]

_____________________________________________

[tex]y = 5 \tan(a) [/tex]

[tex] \frac{y}{5} = \tan(a) \\ [/tex]

[tex]( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ [/tex]

[tex] \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ [/tex]

_____________________________________________

Thus ;

[tex] \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ [/tex]

[tex] {cos}^{2} (a) - {tan}^{2} (a)[/tex]

Answer:

Dimensions are nine by nine, the diagonal is the square root of 162.

Step-by-step explanation:

The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.

9^2 + 9^2 = x^2.

The dimensions of the square would be nine by nine, the diagonal is the square root of 162.

The square will have the same width as before, with a height to match, (9,9)

The diagonal can be found using the Pythagorean theory.

9^2 + 9^2 = x^2.

This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

Learn more about Pythagorean Theorem here:https://brainly.com/question/231802

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Answer:

1 1/7

Step-by-step

E is on the 1 1/7 point on the number line

Answer:

[tex]1\frac{3}{20}[/tex]

Step-by-step explanation: Each space equals =.15. Count by the spaces not the lines. 15/100 simplifies to 3/20.

Answer:

3 I think

Step-by-step explanation:

1/3 opposite is 3/1 or 3

Answer:

m. 31.192

explanation 34.062-2.87

Answer:26

Step-by-step explanation:

[tex]x^2-6x+13=0\\\\\implies x^2-6x =-13\\\\\implies x^2 -2\cdot 3 \cdot x+3^2 -3^2 =-13\\\\\implies (x-3)^2 -9 = -13\\\\\implies (x-3)^2 = -13 +9 = -4\\\\ \implies x-3 =\pm\sqrt{-4} \\\\\implies x -3 = \pm2i\\\\\implies x = \pm 2i +3\\\\\text{Hence,}~ x = 3 + 2i, ~~ x = 3-2i[/tex]

Answer:

C

Step-by-step explanation:

Y=2(-1)+3

y=-2+3

y=1

true

Answer:

[tex]\displaystyle 2\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}[/tex]

I am joyous to assist you at any time.

By identifying that it is a translation of the natural logarithm, we see that the function is:

g(x) = ln(x - 5).

We can see that the function has a logarithmic behavior. We know that the function:

f(x) = ln(x)

Has an asymptote at x = 0, and is equal to 0 for x = 1.

For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.

Then the function graphed is:

g(x) = f(x - 5) = ln(x - 5)

If you want to learn more about translations, you can read:

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Answer:

19%

Step-by-step explanation:

Bottles manufactured in march = 4100×107% = 4387 bottles

bottles manufactured in April= 4387+500 = 4887 bottles

difference in bottles from Feb to April= 4887-4100 =787 bottles

percentage increase from Feb to April= (787/4100)×100 = 19.2%

rounded off= 19%

Answer:

Clair,  since there isn't an attached picture, we don't know some info

Step-by-step explanation:

but here is how you can figure this out....

they tell use to give 6 inches on each side of the door,  so the total width of the logo can be 2 feet wide. Because the door is 3 feet wide.   Now use that to find the height.   find the height to width ratio of the logo,   so if the logo is 4 feet wide and 6 feet tall it's 6/4 or  1.5   ratio, use that and multiply by the 2 that we know the width can be on the door.    so  2*1.5 = 3.   the height of the logo would be 3 feet tall and 2 feet wide on the door.  see?

just find the ratio of the logo, and multiply that by 2  :)  to find the height on the door,  got it?

Answer:

A < C < B = 0.2 < 0.222 < 0.25

Step-by-step explanation:

the best way to do these least to greatest questions is to get them all in the same units so you can compare.

A = [tex]\sqrt{\frac{1}{25} }[/tex]which is [tex]\sqrt{0.04}[/tex] = 0.2

B= 1/4 = 0.25

c=0.22222222.....

now that they are in the same units we see A is the smallest, then C, and then B

Answer:

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

XS=SZ

WS=SY

WX=ZY

I hope this is useful.

The congruence theorem that can be used to prove △WXS ≅ △YZS is SSS. ; option A.

Congruence theorems are theorems which are used to prove congruency in triangles.

The congruence theorems include:

In the given triangle;

Therefore, the congruence theorem that can be used to prove △WXS ≅ △YZS is SSS.

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Answer:

I think the amswer is C not 100% shere

Step-by-step explanation:

Answer:

125y3

Step-by-step explanation:

12x5=y

y3/2 = y26 - 5 =y

Answer:

D should be right

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

You know that there are 8 kilometres in 5 miles, so:

120/8=15

Answer:

25 Percent of tickets were early admission.

Step-by-step explanation:

We apply the percentage formula to solve this problem.

Total Ticket Amount * Percentage = Early tickets

We plug in our values

32 * x/100 = 8

Simplify

X=25

Answer:

25%

Step-by-step explanation:

8 out of 32 can be simplified to 1 early admission for every 4 tt (total tickets). 1/4 can be changed into a decimal which is .25, and  .25*100 is 25%