The annual yield per lemon tree is fairly constant at 390 pounds per tree when the number of trees per acre is 150 or fewer. For each additional tree over ​, the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding.

A. Express the yield per​ tree, Y, in​ pounds, as a function of the number of lemon trees per​ acre, x, where x is greater than 150.
B. Express the total yield for an​ acre, T, in​ pounds, as a function of the number of lemon trees per​ acre, x, where x is greater than 150.

Answer:

X = 4, Y = 3.

Explanation:

Since the length of side CK is equal to the length of WM, then you can make the equation 6y-4 = 18. then you just add 4 to each side and divide both sides by six to get 3. Same thing for the other equation. Angle (i think its an angle due to its placement) C is equal to angle M, so you can make the equation 3x + 7 = 19. Subtract seven from both sides then divide by 3 to get 4. Tell me if you have any questions :)

Answer and Step-by-step explanation:

We know the triangles are congruent, so if you were to flip one of the triangles onto the other, the will perfectly match up, allowing us to solve for x and y.

19 = 3x + 7

Subtract 7 from both sides.

12 = 3x

Divide each side by 3.

4 = x

14 = 6y - 4

Add 4 to each side.

18 = 6y

Divide each side by 6.

3 = y

x = 4

y = 3

#teamtrees #PAW (Plant And Water)

Answer:

they have different areas and different perimeters

Step-by-step explanation:

Answer:

755887578787-∵°

Step-by-step explanation:

Answer: x<=24

Step-by-step explanation:

Data: x/4<=6 and to find the answer, we have to find(Isolate) x

x/4(4)<=6(4) which is x<=24

Since we have found x, we have our answer which is x<=24

I hope this helps!

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

9514 1404 393

Answer:

  -8x^2·y·z +3y·z^2 -4y

Step-by-step explanation:

It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...

  x^2 y z

  y z^2

  x^2 y z

  y

Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.

  = -8x^2·y·z +3y·z^2 -4y

Answer: it should be 565.5

Step-by-step explanation:

Answer: the volume would be 565.49 rounded 565.5

Step-by-step explanation:

trust i plugged it into a cylinder calculator

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

[tex] \huge \frak \orange {question:-}[/tex]

The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.

(HINT: Is the base on the surface?)

[tex] \huge \frak \red{solution:-}[/tex]

Square with edge length = 756 feet

Square= 1/2 × 297.45 × 481

= 286,146.9ft

= 1,037,709,9ft. base with edge length =756 feet

area of square,

= Side² = 756 × 756 = 571,563ft²

⇒ area of base = 1/2 = 756/2 = 378ft

By pythagorean theorem,

H² = P²+B²

(481)² = P²+(378)²

P² = (481)²-(378)²

P² = 231,361-142,884

P² = 88,477

P = √88,477

P = 297.45

Area of triangle =1/2 × b × h

= 1/2x297.45*481

= 148.725×481

= 71,536.725

Now area of 4 triangles = 4×71,536.725

= 286,146.9ft

total surface area of pyramid + square

= 751,563+286,146.

= 1,037,709,9ft.

[tex] \huge \frak \blue{answer:-}[/tex]

[tex] \boxed{1,037,709,9ft}[/tex]

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

We are finding hypotenuse:

6^2 + 8^2

36 + 64 = 100

Now we need to find a number that should be squared to equal 100.

10^2 = 100!

10 is your answer.

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Answer:

Ratio of the volumes of the spheres and cube = 0.523

Step-by-step explanation:

From the figure attached,

Diameter of one sphere = Half of the measure of one side of the cube

                                        = [tex]\frac{x}{2}[/tex]

Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]

                                   = [tex]\frac{x}{4}[/tex]

Volume of a cube is given by the formula,

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]

                                                        = [tex]\frac{x^3\pi}{48}[/tex]

Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]

                                   = [tex]\frac{x^3\pi}{6}[/tex]

Volume of a cube = (side)³

                              = [tex]x^3[/tex]

Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]

                                                                              = [tex]\frac{\pi}{6}[/tex]

                                                                              ≈ 0.523

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

To convert the value of speed in feet per seconds to kilometers per hour:

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320‬ inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

Answer:

If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.

Step-by-step explanation:

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

to find profit use formula,

profit%=profit/cost price*100

20%=x/$9000*100

20*$9000=100x

$180000/100=x

$1800=x

Now to find selling prie os a table use formula,

cost price +profit

$9000+$1800

$91800

therefore selling price of a table is $91800

Step-by-step explanation:

Hope this helps u!!

Answer:

Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

89 if you pay 11$ to go to the museum for Justin 1$

Step-by-step explanation:

100 - 11 = 89.

Answer:

w = [tex]14\sqrt{2}[/tex]

Step-by-step explanation:

Sin(60) = [tex]7\sqrt{6}[/tex] / w

Sin(60) * w =  [tex]7\sqrt{6}[/tex]

w =  [tex]7\sqrt{6}[/tex] / Sin(60)

w = [tex]14\sqrt{2}[/tex]

Hope this helps!

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)

Answer:

The area of each figure is:

Step-by-step explanation:

To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:

Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:

And we obtain the area of the whole figure when we add the two areas:

As you can see, the area of the picture is 20 square units.

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

s=2

Step-by-step explanation:

6=3s

6/3=3s/3 divide both sides by 3

2=s

Could you get a closer picture?