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Answer:

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

b.)

Revenue = bx = (157)(31.4) = $ 4929.8

Step-by-step explanation:

Let number of bushes = b

The price of the bushes = x

The time to harvest = t

The revenue = y

Now given,

Price = x = 37 - (0.8)t

and

Number of bushes = b = 129 + 4t

Also,

The revenue = (Number of bushes)(Price of the bushes)

                     = bx

                     = (129 + 4t)[37 - (0.8)t]

                     = 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²

                     = 4773 - 103.2t + 148t - 3.2t²

                     = 4773 + 44.8t - 3.2t²

⇒ y = 4773 + 44.8t - 3.2t²

Now,

[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t

Now,

[tex]\frac{dy}{dt}[/tex] = 0

⇒ 44.8 - 6.4t = 0

⇒ - 6.4t = -44.8

⇒ 6.4t = 44.8

⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]

Now,

[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4

As [tex]\frac{d^{2}y }{dt^{2} }[/tex]  < 0 ,

It means at time t = 7 , the revenue is maximum

a.)

Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes

Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4

b.)

Revenue = bx = (157)(31.4) = 4929.8

Answer:

B

Step-by-step explanation:

You should not base your reasons on a chocolate bar.

Answer:

4

Step-by-step explanation:

4•4•4 = 64

Answer:

4

Step-by-step explanation:

cubic root of 64 is 4, since 4^3 = 64

Answer:

10*10*12 = 120 ÷ 3 = 40

Step-by-step explanation:

The formula to find a pyramid's volume is

V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)

Answer:

116

Step-by-step explanation:

x=180-(25+39+15)=116degrees

Answer:

116 is the correct answer to this question

2.75 packs

Step-by-step explanation:

11 packs ÷4 gardens =2.75 packs per garden

Answer:

915'000.+123=915,123

Answer:

1200

Step-by-step explanation:

If 24 is 2%, 100% would be 1200 because if you multiply 2 by 50 you get 100% so you multiply 24 by 50 which is 1200

Answer:

20.

Step-by-step explanation:

The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 100% is 20.

Answer:

y=10 x=30

Step-by-step explanation:

3x=90

x=30

2(30)+3y=90

60+3y=90

3y=30

y=10

Answer:

y= 10

Step-by-step explanation:

we have to find x first

∠ABD= 90° because its a right angle

3x°=90°

divide by on both sides

x= 30°

∠CBD must equal 90° degrees as well because a line is 180°

60+3y= 90

-60

3y=30

/3

y= 10

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

Given that,

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

We have to determine

What is the least number of socks that you have to take out of  your drawer to be certain that you have a pair of black socks?

According to the question,

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

The total number of blue socks is 18,

And the total number of navy socks is 12.

The probability that the socks come out is black socks is,

[tex]\rm P_b = \dfrac{18}{18+12}\\\\P_b= \dfrac{18}{30}\\\\P_b = \dfrac{3}{5}[/tex]

And the probability that the socks come out is navy socks is,

[tex]\rm P_n = \dfrac{12}{18+12}\\\\P_n= \dfrac{12}{30}\\\\P_n = \dfrac{2}{5}[/tex]

On comparing both the probability,

[tex]\rm P_b>P_n[/tex]

Hence, The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

For more details refer to the link given below.

https://brainly.com/question/19200823

Answer:3

Step-by-step explanation:

I found this out because is you take 3 out you will get BLUE BLUE BLACK or BLACK BLACK BLUE or BLUE BLUE BLUE or BLACK BLACK BLACK

Hope that helps

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

Answer: 9x^2-2x+8/2x(x-2)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

402 mph

Step-by-step explanation:

Draw a right triangle with 400 and 40 as the two legs.

You know this is a right angle because 45 degrees NE is perpendicular to 45 degrees NW. (imagine a compass)

So, the two side lengths are 400 and 40

Using the Pythagorean theorem, (a^2 + b^2 = c^2) you can see that the answer is 401.995, or 402

The ground speed of the plane is 402 mph , Option B is the correct answer.

A right angle triangle is a triangle with one of its sides 90 degree.

It is given that

airplane is travelling at speed of 400mph in the direction N 45° E

wind is blowing at 40 mph in the direction N 45° W

The resultant of these two vectors will be the ground speed of the plane.

As they both are travelling in perpendicular directions ( NE is perpendicular to NW)

A right angled Triangle as attached in the image will be formed

Hypotenuse  by Pythagoras theorem will give the ground speed of the plane

Hypotenuse = [tex]\sqrt { 40 ^2 + 400^2}[/tex]

Hypotenuse = 401.99 mph

Therefore the ground speed of the plane is 402 mph.

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Answer:

48

Step-by-step explanation:

first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.

Answer:

(4, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 graphs intersect would be the solution set to the systems of equations.

Answer:

x=4

and

y=4

Step-by-step explanation:

let -2x+y=-4 ...1

y=1/2x+2 ...2

putting equation 2 in equation 1 we get,

-2x+(1/2x+2)=-4

opening the brackets we get,

-2x+1/2x+2=-4

(-4x+x)/2=-4-2

-3x/2=-6

-3x=-6×2

-3x=-12

x=-12/-3

x=4

putting value of x in equation 2

y=1/2(4)+2

y=2+2

y=4

hence, x=4 and y=4

Answer:

25 cups of apple juice and 10 cups of sparking water.

Step-by-step explanation:

Answer:

answers?

Step-by-step explanation:

Answer:

2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

Step-by-step explanation:

Given that Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates, while Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates, and you want to provide your child with 340 calories and 75 grams of carbohydrates, in order to how many servings of each you should use, the following calculation has to be made:

(80 x 5) + (60 x 0) --- (21 x 5) + (11 x 0) = 400 --- 105

(80 x 4) + (60 x 1) --- (21 x 4) + (11 x 1) = 380 --- 95

(80 x 3) + (60 x 2) --- (21 x 3) + (11 x 2) = 360 --- 85

(80 x 2) + (60 x 3) --- (21 x 2) + (11 x 3) = 340 --- 75

Therefore, 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

Answer:

its d 31 is 5 less than 36.....

Answer:

a)19.93    b)2171.89

Step-by-step explanation:

a) As there are no brackets first do the equation

16.3-4.97 which is 11.33

then you add 8.6 onto that which is 19.93

b)2.164.89+7=2171.89

Answer:

(-2,-2)

Step-by-step explanation:

The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.

(-2,-2)

Answer:pretty sure it’s both 35°

Step-by-step explanation:

Answer:

A  linear function is a straight line and a non-linear function is not a straight line.

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. Lucas buys 7 times the number of candies that Haley bought.

A ratio shows us the number of times a number contains another number.

Given Haley buys c pieces of candy while Lucas bought 7c pieces. Therefore, the number of candies bought by Haley and Lucas is in a ratio of 1:7.

It can also be concluded that the number of candies Lucas buy is 7 times of the number candies bought by Haley.

Hence, Lucas buys 7 times the number of candies that Haley bought.

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Answer:

its B

Step-by-step explanation:

Answer:

1/2 is greater hope it helps