A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)

Answer:

Number of hamburgers sold each day at Hamburger Mary's because it's counting a number of something, not measuring a quantity with respect to a variable like temperature or weight. If this is still unclear let me know what I need to clarify. Have a nice night.

Answer:

13.5

Step-by-step explanation:

Answer:

D is the correct answer.

Answer:

f(x)=60c * 24h

Step-by-step explanation:

Hope this helped!

Answer:

The substances that form are a combination of the two reactants.

Step-by-step explanation:

Answer:

John has 357 marbles left.

Step-by-step explanation:

120 marbles went to Bob

48 went to Pat

and 75 to Matt.

Answer:

Step-by-step explanation:

Given sequence:

This is not AP as the difference in terms is not common

This is GP with the common ratio of -2 as:

Correct choice is (C)

Answer:

Its AA similarity theorem

Step-by-step explanation:

correct on edge 2021

The triangles ABC and EDC are similar by AA similarity theorem.

Two triangles are said to be similar if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given is a proof of showing △ ABC ~ △ EDC

The proof is as follows :-

           Statement                                                Reason

            AB ∥ DE                                                     Given

         ∠ ACB = ∠ ECD                           definition of vertical angles  

         ∠ BDE ≅ ∠ DBA                   alternate interior angles are congruent

         △ ABC ~ △ EDC                                 AA similarity theorem

AA similarity theorem :-

AA similarity theorem states that when two corresponding angles of two triangles are found congruent then the triangles are similar by AA similarity theorem.

Hence, the missing reason is AA similarity theorem.

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Answer:

The present age of the artifact is 1,600 years

Step-by-step explanation:

let the present age of the artifact = x

let the present age of the book, = y

x = 4y ---- equation (1)

x + 200 = 3(y + 200) ------equation (2)

x + 200 = 3y + 600

substitute in the value of x into the equation;

4y + 200 = 3y + 600

4y - 3y = 600 - 200

y = 400

Then, x = 4 x 400

x = 1,600 years

Therefore, the present age of the artifact is 1,600 years

Answer:

The present age of the artifact is 1,600 years  

Step-by-step explanation:  

let the present age of the artifact = x  

let the present age of the book, = y  

x = 4y ---- equation (1)  

x + 200 = 3(y + 200) ------equation (2)  

x + 200 = 3y + 600  

substitute in the value of x into the equation;  

4y + 200 = 3y + 600  

4y - 3y = 600 - 200  

y = 400  

Then, x = 4 x 400

x = 1,600 years

Answer:

b is correct

Step-by-step explanation:

The product of the functions M(x) and n(x) is x³+ 4x².

To find the product of the two functions, M(x) = x² + 4x and n(x) = x, we need to multiply them together.

So, (mn)(x) = M(x) × n(x)

Substituting the given functions:

(mn)(x) = (x² + 4x) × x

Now, we can simplify the expression by applying the distributive property of multiplication:

(mn)(x) = x × x² + x × 4x

Simplifying further:

(mn)(x) = x³ + 4x²

Therefore, the product of the functions M(x) and n(x) is x³+ 4x².

Learn more about Polynomial here:

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Answer:

7?

Step-by-step explanation  :

yo creo que si

Answer:

its the 4/7x 28

Step-by-step explanation:

you count by 2 and then you look for the numbers

Answer:

THE OTHER PERSON IS WRONG DO NOT LISTEN YOUNG ONE

Step-by-step explanation:

THE ANSWER IS D, 2/7 x 28

Answer:

37

Step-by-step explanation:

First multiply 3 by 8 (24)

then add 13

Answer:

The answer could be A) or D) because the zero acts as a place holder. Its a little easier to derive it if you have a bigger decimal

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

DB^2=AD^2+AC^2

15^2=12^2+AC^2

AC^2=225-144

AC^2=81

AC=√81

AC=9

Answer:

Step-by-step explanation:

Chen is 44 inches tall

Answer:

The sum of the first 12 terms of the sequence is 2703.673096

Step-by-step explanation:

The nth term of a geometric progression is a(n) = [tex]ar^{n-1}[/tex], where

The sum of n terms of the geometric progression is s(n) = [tex]\frac{a(r^{n}-1)}{r-1}[/tex]

∵ The third term of a geometric progression is [tex]\frac{63}{4}[/tex]

∴ a(3) = [tex]\frac{63}{4}[/tex]

∵ a(3) = ar²

→ Equate its two right sides

∴ ar² =  [tex]\frac{63}{4}[/tex] ⇒ (1)

∵ The sixth term is [tex]\frac{1701}{32}[/tex]

∴ a(6) = [tex]\frac{1701}{32}[/tex]

∵ a(6) = a[tex]r^{5}[/tex]

→ Equate its two right sides

∴ a[tex]r^{5}[/tex] =  [tex]\frac{1701}{32}[/tex] ⇒ (2)

→ Divide (2) by (1)

∴ r³ = [tex]\frac{27}{8}[/tex]

→ Take ∛  for both sides

∴ r = [tex]\frac{3}{2}[/tex] = 1.5

→ Substitute the value of r in (1) to find a

∵ a(1.5) = [tex]\frac{63}{4}[/tex]

∴ 1.5a = 15.75

→ Divide both sides by 1.5

∴ a = 10.5

→ Let us find the sum of the first 12 terms

∵ n = 12, a = 10.5, and r = 1.5

→ Substitute them in the rule of the sum above

∵ s(12) = [tex]\frac{10.5(1.5^{12}-1)}{1.5-1}[/tex]

∴ s(12) = 2703.673096

∴ The sum of the first 12 terms of the sequence is 2703.673096

Answer:

Answer:

24x

Step-by-step explanation:

Multiply  − 6  by  − 4 .

Answer:

24

Step-by-step explanation:

you multiply negative 4 by negative 6

Answer:

(f- g)(x) =fx−gx

Step-by-step explanation:

Answer:

ill Put the answer in the comments if you give a pic of the image for this problem

Step-by-step explanation:

If there are 3 boys for every 4 girls in a class, there would be 12 boys because 16 ÷4 us 4, and 4×3 is 13.

The measure of one side of a square is (s + 3) inches long. The pair of expressions which both represents the perimeter of this square is:

d) 4( s + 3 ) and (s + 3) + (s + 3) + (s + 3) + (s + 3)