If the farm has 5,000 spinach plants, describe a method that would produce a random sample of 10 plants.

Answer:

1 - 155 +27n

2- 2x+15=33

Step-by-step explanation:

hope this helps

Based on the model, we find the dimensions of the cube. The length of the model building is 2/3 centimeter. The width of the model building is 1/3 centimeter. The height of the model building is 1/2 centimeter. The volume of the model building is 1/9 cubic centimeter.

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. Each face of a cube is a square. In 3 – dimension, the cube’s sides are; the length, width, and height. Sides of a cube are all equal i.e. Length = Width = Height = a.

The length = breadth = height (of one cube) = 1/6 cm

The length of the model consist of 4 cubes.

Length of model building = 4 * 1/6 cm = 2/3 cm

The width of the model consist of 2 cubes.

Width of model building = 2 * 1/6 cm = 1/3 cm

The height of the model consist of 3 cubes.

Height of model building = 3 * 1/6 cm = 1/2 cm

Volume of the model (cuboid) =

= Length * breadth * height

= [tex]\frac{2}{3} * \frac{1}{3}*\frac{1}{2} = \frac{1}{9}[/tex]

Learn more about dimensions of a cube here

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Answer:

3(-8 + 3w)

Step-by-step explanation:

The greatest common factor (GCF) of 24 and 9 is 3. By taking out a 3 from the quantity, you get a -8 from the -24 and a 3w from the 9w. But the 3 doesn't disappear. It is put outside of the quantity to indicate that it has been taken out and can be put back in.

-24+9w

9w-24

= 3(3w-8)

I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?

Answer: A cross section is the shape we get when cutting straight through an object.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Since -5 is smaller than -2.5, the answer will be positive. To make life a little easier, you can simply just do 5 - 2.5 and get 2.5.

Hope this helped :)

Answer:

1,728 yd²

Step-by-step explanation:

Area = b × h

36 yd will be the replacement for b

48 yd will be the replacement for h

Now we multiply 36 by 48

36 × 48 = 1,728 yd²

Answer:

1728

Step-by-step explanation:

Using the Pythagorean Theorem, it is found that the length of the dotted line in the diagram below is of 8.6 units.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

Hence, the value of x is found as follows.

[tex]x^2 = 3^2 + 4^2[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \sqrt{25}[/tex]

[tex]x = 5[/tex]

Then, the length l of the dotted line is found as follows.

[tex]l^2 = 5^2 + 7^2[/tex]

[tex]l = \sqrt{74}[/tex]

[tex]l = 8.6[/tex]

The length of the dotted line in the diagram below is of 8.6 units.

To learn more about the Pythagorean Theorem, you can take a look at https://brainly.com/question/654982

Answer:

-x

Step-by-step explanation:

Answer:

e,b,and c but im not for sure

Step-by-step explanation:

Answer:

Step-by-step explanation:To answer your question, the first number 9/8 has the reciprocal 8/9.

Answer:

[tex]f(x) = 3^x[/tex] --- Function A

[tex]f(x) = x^2 - 5[/tex] --- Function B

[tex]f(x) = 18x -6[/tex] --- Function C

Step-by-step explanation:

Solving (a): Equation of Function A

An exponential equation is represented as:

[tex]y = ab^x[/tex]

From the graph of function A,

[tex]x = 0\ when\ y = 1[/tex]

[tex]x = 1\ when\ y = 3[/tex]

For: [tex]x = 0\ when\ y = 1[/tex]

[tex]y = ab^x[/tex] becomes

[tex]1 = ab^0[/tex]

[tex]1 = a[/tex]

[tex]a =1[/tex]

For: [tex]x = 1\ when\ y = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]3 = a*b^1[/tex]

[tex]3 = a*b[/tex]

Substitute 1 for a

[tex]3 = 1*b[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]y = 1*3^x[/tex]

[tex]y = 3^x[/tex]

Replace y with f(x)

[tex]f(x) = 3^x[/tex]

Solving (b): Equation of Function B

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

From the table of function B,

[tex]x = 3\ when\ y =4[/tex]

[tex]x = 5\ when\ y =20[/tex]

[tex]x = 6\ when\ y =31[/tex]

For: [tex]x = 3\ when\ y =4[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]4 = a*3^2 + b*3 + c[/tex]

[tex]4 = a*9 + 3b + c[/tex]

[tex]4 = 9a + 3b + c[/tex]

For [tex]x = 5\ when\ y =20[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]20 = a*5^2 + b*5 + c[/tex]

[tex]20 = a*25 + b*5 + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

For [tex]x = 6\ when\ y =31[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]31 = a*6^2 + b*6 + c[/tex]

[tex]31 = a*36 + b*6 + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

So, we solve for a, b and c in:

[tex]4 = 9a + 3b + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

Make c the subject in [tex]4 = 9a + 3b + c[/tex]

[tex]c = 4 - 9a - 3b[/tex]

Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]

[tex]20 = 25a + 5b + c[/tex] becomes

[tex]20 = 25a + 5b + 4-9a-3b[/tex]

Collect Like Terms

[tex]-4+20 = 25a -9a+ 5b -3b[/tex]

[tex]16 = 16a+ 2b[/tex]

Divide through by 2

[tex]8 = 8a + b[/tex]

[tex]c = 4 - 9a - 3b[/tex]

[tex]31 = 36a + 6b + c[/tex] becomes

[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]

Collect Like Terms

[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]

[tex]27 = 27a+ 3b[/tex]

Divide through by 3

[tex]9 = 9a + b[/tex]

Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]

Subtract both equations:

[tex]8 - 9 = 8a - 9a + b - b[/tex]

[tex]8 - 9 = 8a - 9a[/tex]

[tex]-1 = -a[/tex]

Divide both sides by -1

[tex]1 = a[/tex]

[tex]a = 1[/tex]

Substitute 1 for a in [tex]9 = 9a + b[/tex]

[tex]9 = 9*1 + b[/tex]

[tex]9 = 9 +b[/tex]

Subtract 9 from both sides

[tex]9-9=9-9+b[/tex]

[tex]0=b[/tex]

[tex]b = 0[/tex]

Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]

[tex]c = 4 - 9*1-3*0[/tex]

[tex]c = 4 - 9-0[/tex]

[tex]c = -5[/tex]

So, the equation is:

[tex]y = ax^2 + bx + c[/tex]

[tex]y=1*x^2 +0*x-5[/tex]

[tex]y=x^2 -5[/tex]

Replace y with f(x)

[tex]f(x) = x^2 - 5[/tex]

Solving (c): Equation of Function C

This is calculated using:

[tex]f(x) =a + (x -1)d[/tex]

Where

[tex]a = 12[/tex] -- the first term

d = the difference between successive terms

[tex]d = 30 -12 = 48-30 = 66 -48[/tex]

[tex]d =18[/tex]

So, we have:

[tex]f(x) =a + (x -1)d[/tex]

[tex]f(x) = 12 + (x - 1)*18[/tex]

Open bracket

[tex]f(x) = 12 + 18x - 18[/tex]

Collect Like Terms

[tex]f(x) = 18x - 18+12[/tex]

[tex]f(x) = 18x -6[/tex]

Step-by-step explanation:

The correct options are

2. (3,8)

4. ( 18 , 29 )

Hope it will help :)

Answer:

9 hours with no stops

Step-by-step explanation:

540 mile drive  

60 MPH

distance divided by rate is 540 divided by 60 = 9

Answer: $181.48 O_O

Step-by-step explanation: i know that stuff

Answer:

$530.48

Step-by-step explanation:

i can answer now yay

difference is 33

Step-by-step explanation:

100 - 40% = 60 + 7% = 67 + 300 = 367

400 - 367  = 33

Answer: I might well as think the answer is 10.220

Answer:

the answer is 78,000

Step-by-step explanation:

your welcome

Just do this in your head,780/10=78 then add on the three zeros from 780000 that you didnt use. 78>>> 78000

Answer=78000

Answer:

Hello

Step-by-step explanation:

Answer:

35 squared plus x squared equals 78 Squared

which makes your answer

69.7

Step-by-step explanation:

Answer:

35 square + x square 78 square

= 69.7

Step-by-step explanation:

Step-by-step explanation:

Answer: -40

Step-by-step explanation:

Answer:

−26p− 7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

2x+15=33

Step-by-step explanation:

Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.

Since he started doing  15 sit-ups on the first day, the total number of sit-ups

after x days would be 2n+15.

Since he did a total of 33 sit ups today, then 2n+15=33

Answer:

23/6

Step-by-step explanation:

3/56

Answer:

22 1/2

Step-by-step explanation:

22 1/2

srry if its wrong <3

Answer:

D

Step-by-step explanation:

there are data values from 17-26

so D