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ycow [4]
2 years ago
14

Please help me with 19 and 20 please

Mathematics
1 answer:
lesya [120]2 years ago
3 0

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

<em>Additional comment</em>

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

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Can anybody help me on this
solong [7]

9514 1404 393

Answer:

  a. x = 13/7

  b. j = 3

  c. y = 2

  d. p = 25

Step-by-step explanation:

Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.

__

a. 3x +13 = 10x . . . . combine like terms

  13 = 7x . . . . . . . . . subtract 3x

  13/7 = x . . . . . . . . divide by the coefficient of x

__

b. 10j -20 = 10 . . . . combine like terms

  10j = 30 . . . . . . . . add 20

  j = 3 . . . . . . . . . . . divide by 10

__

c. 6y = 14 -y . . . . . . combine like terms

  7y = 14 . . . . . . . . . add y

  y = 2 . . . . . . . . . . divide by 7

__

d. p + 8 = 33 . . . . . . combine like terms

  p = 25 . . . . . . . . .  add -8

_____

<em>Comment on solving equations</em>

In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.

You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.

The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.

3 0
3 years ago
To the nearest tenth, find the volume of a sphere with a diameter of 36 cm. Use 3.14
lesya [120]

Answer:

The volume of the sphere is 24416.6 cm³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

v = volume

r = radius

v = ⁴⁄₃πr³.

To solve this formula we first have to have all the data, as we see we need to calculate the radius, which is calculated by dividing the diameter by 2

r = d/2

r = 36cm/2

r = 18cm

Now that we have all the data we can solve the formula

v = ⁴⁄₃πr³.

v = ⁴⁄₃ * 3.14 * (18cm)³

v = 24416.64 cm³

Round to the nearest tenth

v = 24416.6 cm³

5 0
3 years ago
Perimeter of rectangle is 48 inches area is 40 inches what are the length of the side
Aloiza [94]
\bf \textit{perimeter of a rectangle}=p=side+side+side+side&#10;\\\\&#10;or\implies p=w+w+l+l\implies p=2w+2l&#10;\\\\&#10;p=2(w+l)\qquad &#10;\begin{cases}&#10;w=width\\&#10;l=length\\&#10;------\\&#10;p=48&#10;\end{cases}\implies 40=2(w+l)\\\\&#10;-----------------------------\\\\&#10;\textit{area of it}=A=w\cdot l\qquad \begin{cases}&#10;w=width\\&#10;l=length\\&#10;------\\&#10;A=40&#10;\end{cases}\implies 40=wl\\\\&#10;-----------------------------\\\\

\bf thus\qquad &#10;\begin{cases}&#10;40=2(w+l)\to \frac{40}{2}=w+l\to\frac{40}{2}-l=\boxed{w}&#10;\\\\&#10;40=wl\\&#10;--------------\\&#10;40=\left( \boxed{\frac{40}{2}-l} \right)\cdot l&#10;\end{cases}

solve for "l" to find its length
7 0
3 years ago
Define linear relationship​
-Dominant- [34]

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b. Linear relationships are fairly common in daily life.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Help please - first question
Afina-wow [57]
The answer should be x=60. ABD are an equilateral triangle all the angles must add up to 180. 60*3=180. Also if you have a protractor you can measure the angle C, the 60 degrees part and measure it against A, D and B. Hope this helps.
5 0
2 years ago
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