What is the value of p ?

Answer:

on edge

Step-by-step explanation:

The tree increased in height each month until the time period between month 9 and month 11

The statement that can be supported by the given information is, "The height of the tree increased in height each month until the time period between month 9 and month 11".

Given a table that shows the height of the tree that Margo planted over an 11-month period.

When the months are 1, 3, 5, 7, 9, and 11, the height of the tree is 1.4, 1.5, 2.1, 2.7, 3, and 1.8 respectively.

It is clear that the height of the tree increases during the months from 1 to 9.

During the time period between 9 and 11, the height of the tree decreases to 1.8 from 3.

So, the height of the tree increased in height each month until the time period between month 9 and month 11.

Hence the correct option is c.

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Answer:

Step-by-step explanation:

Given

  Fantasy uses 4 lb of nuts, 3 lb of chocolate, for a profit of $50

  Ecstasy uses 4 lb of nuts, 1 lb of chocolate, for a profit of $40

  In stock are 16 lb of nuts, 10 lb of chocolate

Find

 amount of each to maximize profit

Solution

Let x and y represent barrels of Fantasy and Ecstasy, respectively. Then the limitations on production are ...

  4x +4y ≤ 16 . . . lb of nuts

  3x +y ≤ 10 . . . . lb of chocolate

We want to maximize

  50x +40y

The graph shows the feasible region. Its vertices are ...

  (0, 4), (3, 1), (3.33, 0)

Profit is maximized at $190 when production is 3 barrels of Fantasy and 1 barrel of Ecstasy.

Answer:

The maximum revenue is $25,000

Step-by-step explanation:

The model equation is;

R = -2.5p^2 + 500p

To find the maximum value, we differentiate this and set result = 0

The first differential of this model equation is -5p + 500

we set this to zero to get the maximum price

5p = 500

p= 500/5

p = 100

Now to get the maximum revenue, we simply substitute the value of the maximum price

That would be -2.5(100)^2 + 500(100)

= -2.5(10,000) + 50,000

= 25,000 + 50,000

= 25,000

Answer:

189.3cm2

Step-by-step explanation:

Divide the whole figure into 2 parts. One part as a rectangle and the other as a semicircle  ( half a circle). First find the area of the rectangle, 10 times 15 which will get you 150cm2. Next to find the area of the semicircle do [tex]\pi[/tex] times 5 times 5 times half. You will get an amount like 39.26990817 but do not worry for now. Just keep it like that. Then add this amount with 150 and you will get an amount like 189.2699082

Then round it of to one decimal place and you will get 189.3cm2

Answer:

514,400 plants.

Step-by-step Explanation:

From the attached diagram given below which shows the coordinate grid, we can say the shape of the farm is that of a trapezium.

Number of plants to be planted by the farmer at 40,000 plants per acre = area of land in acres * 40,000.

Let's find the area of the land(trapezium):

Area of trapezium = ½(a+b)*h

From the coordinate grid, from point E to H on the y-axis, we have 900 units = 900 ft (Given that 1 unit = 1 foot).

Also, from F to G, we have 500 units = 500ft; and the height of the trapezium is represented by the number of units the trapezium covers on the x-axis = 800units = 800ft.

a = 900ft, b = 500ft, c= 800ft

==> Area of Land/trapezium = ½(a+b)*h

= ½(900+500)*800

= ½(1400)*800

= 700*800 = 560,000ft²

Given that 1acre = 43,560ft²

x acre = 560,000ft²

x = 560,000*1 /43,560

x = 12.86 acres

Therefore, number of plants to be planted = 12.86 acres * 40,000 plants = 514,400 plants.

Question :

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?

Answer: 30%

Step-by-step explanation:

Given the following :

Justin's chance of winning each game = 20%

Cam's chance of winning each game = 50%

Therefore, probability of :

Justin winning = 20/100 = 0.2

Cam winning = 50/100 = 0.5

Overall probability = 100% = 1

Therefore,

P(Justin winning) + P(Cam winning) + P(Ben winning) = 1

0.2 + 0.5 + P(Ben winning) = 1

P(Ben winning) = 1 - 0.7

P(Ben winning) = 0.3

0.3 = 30%

Answer:

the third one

Step-by-step explanation:

a linear function is information that is increasing or decreasing at a steady rate, in that specific set of data their decreasing at a rate of 2

Answer:

f(x)=(x)^(-2)

f(-3)=(-3)^(-2)

f(-3)=(9)^(-1)

f(-3)=(1/9)

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

---------------

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

Answer:

135, 137, 139

Step-by-step explanation: My bad, I did not see that it said consecutive odd integers

x+x+2+x+4=411

3x+6=411

3x=405

x=135

x+2+137

x+4=139

Represent 3 consecutive odd integers as follows.

X ⇒ first odd integer

X + 2 ⇒ second odd integer

X + 4 ⇒ third odd integer

Since their sum in this problem is 411, x + (x + 2) + (x + 4) = 411.

Now combine like terms to get 3x + 6 = 411.

No subtract 6 from both sides to get 3x = 405.

Now divide both sides by 3 and x = 135.

So x + 2 would be 137 and x + 4 would be 139.

So our consecutive odd integers are 135, 137, and 139.

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

Answer: There will be 8 balloons left over.

Step-by-step explanation: A total of 580 balloons to be distributed equally among 26 students means 580 ÷ 26.

The division is not exact, since 580 are not divisible by 26, it will result in a rest, so

580 ÷ 26 = 22 and has rest 8

Therefore, there will be 8 balloons left over.

Answer:

B

Step-by-step explanation:

The sample space is a set of any and all possible outcomes.

Answer:

it will be: n =  5 d =  20 p = 5

Hope it helped!

Answer:

[tex] 5 - 2 \sqrt{6} [/tex]

Step-by-step explanation:

Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.

[tex] \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} + \sqrt{2} } \\ \\ multiplying \: numerator \: and \: denominator \: \\ by \: (\sqrt{3} - \sqrt{2}) \\ \\ \frac{( \sqrt{3} - \sqrt{2} ) }{ (\sqrt{3} + \sqrt{2} )} \times \frac{ (\sqrt{3} - \sqrt{2} )}{ (\sqrt{3} - \sqrt{2} )} \\ \\ = \frac{{( \sqrt{3} - \sqrt{2} )}^{2} }{ { (\sqrt{3} })^{2} - {( \sqrt{2} })^{2} } \\ \\ = \frac{ { (\sqrt{3} )}^{2} + { (\sqrt{2} )}^{2} - 2 \sqrt{3 \times 2} }{3 - 2} \\ \\ = \frac{3 + 2 - 2 \sqrt{6} }{1} \\ \\ = 5 - 2 \sqrt{6} [/tex]

Answer:22.5

Step-by-step explanation:

multiply by 1.5

Answer:

22.5 cm

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

AC          BC

-------- = ---------

FH             GH

12            15

-------- = ---------

18             x

Using cross products

12x = 15*18

Divide each side by 12

12x/12 = 15*18/12

x =22.5

Answer:

you should be able to use them

Step-by-step explanation:

Answer:

x = -24/7  or x = -3 3/7

Step-by-step explanation:

In this equation, the first thing we will do is to get rid of the denominators -- they complicate everything. So, we can multiply the entire equation by 10, since 10 is the lowest common multiple of 5 and 2, which are the denominators.

Then, the equation will look like this:

2(4x-2) + 5(1) = 5(3x+7) - 10(1)

Notice that the denominators will no longer exist.

Now, distribute on both sides of the equation.

The equation will look like this now:

8x - 4 + 5 = 15x + 35 - 10

Then, we must combine like terms. We want to isolate the variable x on one side of the equation. Let's isolate it on the right side. So, subtract 8x from both sides. The equation will look like this now: - 4 + 5 = 7x + 35 - 10

Now that x is on one side, let's move all the other terms to the left side. Subtract 25 from both sides (35 - 10 = 25 on the right side, get rid of it by subtracting 25). The equation now looks like this: - 4 + 5 - 25 = 7x

Finally, combine all on the left side.

Final equation: -24 = 7x

Now, we know 7x = -24. We want to solve for the value of x. So, divide both sides by 7.

x = -24/7  or x = -3 3/7

Answer:

We are given that triangle PQR is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are equal,

angle PQR = angle PRQ  

Also, And we are given that

angle MRQ = angle NQR

In ΔQNR and  ΔRMQ

∠NQR=∠MRQ (given)

QR = QR   (common)

-triangles QNR is congruent to triangles RMQ - ASA - angle side angle

Answer:

65/9

Step-by-step explanation:

3 1/3=(3*3+1)/3=10/3

2  1/6=(2*6+1)/6=13/6

10/3*13/6=130/18=65/9

Answer:

[tex]7\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]3 \frac{1}{3} = \frac{10}{3}[/tex]

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

10 × 13 = 130

3 × 6 = 18

[tex]\frac{130}{18} = 7\frac{2}{9}[/tex]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), [tex]\sqrt{35}[/tex] is the side length of the pink square and [tex]\sqrt{50}[/tex] is the side length of the green square.

That means a = [tex]\sqrt{35}[/tex] and b = [tex]\sqrt{50}[/tex] , so...

[tex](\sqrt{35} )^{2} + (\sqrt{50})^{2} = c^{2}[/tex]

35 + 50 = c^2

85 = c^2

[tex]\sqrt{85} = c[/tex]

Now we need to square the square root of 85 to find the area of the blue square.

[tex](\sqrt{85})^{2} = Area of blue square[/tex]

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

[tex]x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 = 25\\x=\sqrt{25} \\x=5[/tex]

x = 5 units

Answer:

For real

Step-by-step explanation:

Answer:

F(x) = (x + 3)^2 -87

Step-by-step explanation:

Here, we want to rewrite the function by completing the square.

Firstly, we move the c term(-78) to the right hand side of the equation and that becomes

x^2 + 6x = 78

Then, we can complete the square on the right hand side here, to be

Let’s add 9 to both sides

That would be;

x^2 + 6x + 9 = 78 + 9

x^2 + 6x + 9 = 87

(x+3)^2 = 87

or simply

(x+3)^2 -87 = 0

So our F(x) becomes

F(x) = (x + 3)^2 -87

Answer:

The expression after completing the square is:

[tex]f(x) = (x+3)^{2} -87[/tex]

Step-by-step explanation:

The function is rewritten after making algebraic manipulation:

[tex]f(x) = x^{2} + 6\cdot x +9 - 9 - 78[/tex]

The expression after completing the square is:

[tex]f(x) = (x+3)^{2} -87[/tex]

Answer:

[tex]m\widehat {EB}[/tex] = 96°

Step-by-step explanation:

From the figure attached,

m∠ECB = 25°

[tex]m\widehat {EB}={(4x+16)}[/tex] degrees

[tex]m\widehat{DB}=(7x+6)[/tex] degrees

From the theorem of secants intersecting outside the circle,

m∠ECB = [tex]\frac{1}{2}[m\widehat {DB}-m\widehat{EB}][/tex]

25° = [tex]\frac{1}{2}[(7x + 6) - (4x + 16)][/tex]

25° = [tex]\frac{1}{2}(3x-10)[/tex]

50 = 3x - 10

3x = 60

x = [tex]\frac{60}{3}[/tex]

x = 20

[tex]m\widehat {EB}[/tex] = (4 × 20 + 16)°

        = (80 + 16)°

        = 96°

Therefore, measure of arc EB is 96°.

Answer:

96°

Step-by-step explanation:

Got it right on the test

Answer:

The loose candy is less per gram

Step-by-step explanation:

First find the cost of the bags

1.49 /120 grams = .012416667 per gram

Then the cost of the loose candy

.89/100 grams = .0089 per gram

The loose candy is less per gram

Answer:

c = 14 * t

Step-by-step explanation:

we have to calculate the average to make the equation, the first thing is to calculate the calories burned per minute in the two days:

the first day:

280/20 = 14

second day:

490/35 = 14

that is, how it does not change from day to day, the average is 14 calories per minute, therefore, the equation would be:

c = 14 * t

The equation represents this relationship is [tex]c = 14 \times t[/tex]

Since Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running.

So, here we need to determine the burned per minute for 2 days

So,

the first day

[tex]= 280\div 20[/tex]

= 14

And, the second day:

[tex]= 490\div 35[/tex]

= 14

Therefore, The equation represents this relationship is [tex]c = 14 \times t[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

the answer is B thats wat equals to g(x)

Answer:

2x or h(x)

Step-by-step explanation:

Answer:

11 + x m

Step-by-step explanation:

[tex]width = \frac{area \: of \: rectangle}{length} \\ \\ = \frac{121 - {x}^{2} }{11 - x} \\ \\ = \frac{ {11}^{2} - {x}^{2} }{11 - x} \\ \\ = \frac{(11 + x)(11 - x)}{11 - x} \\ \\ = (11 + x) \: m[/tex]