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3 years ago

A nationwide club begins a chapter near you. You research the membership of the club over the past few decades.

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Answer:

Option (d)

Step-by-step explanation:

From the given table,

Number of members in 1980 (t = 0) were 5400.

With the period of time number of members increased.

Let the number of years after 1980 = x

Therefore, line of best fit will be in the form of y = mx + b

Where b = Initial number of members = 5400

m = Increase in members in every 5 years duration

So the equation will be,

y = mx + 5400

From the given options,

Equation which matches to our equation is,

y = 310.58x + 5400

For the number of members in year 2022,

x = 2022 - 1980 = 42 years

y = 310.58(42) + 5400

y = 18445

Option (d) will be the answer.

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What is the slope M of the line passing through the coordinates (2,1) and (-3,5)

Stolb23 [73]

Answer:

the aswer is 4/-5 :)

Step-by-step explanation: (2,1) and (-3,5)

m=y2-y1

x2-x1

m= 5-1 4

-3-2 = -5

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Hope this help :)

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3 years ago

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Rotate the figure 90 degrees about vertex A.

ziro4ka [17]

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

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3 years ago

An expression is given.

Katyanochek1 [597]

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want to evaluate ...

16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

16 -14÷2 +5²

Then the exponential term.

16 -14÷2 +25

The division is evaluated next.

16 -7 +25

Finally, the sum is evaluated.

= 9 +25

= 34

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Your calculator can do this arithmetic for you.

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3 years ago

Can someone help me and show me how to solve this?

DedPeter [7]

XYA = (104 -52)/2

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3 years ago

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The spring has a stiffness k=200n/m and is unstretched when the 25 kg block is at

g100num [7]

To solve this we are going to use the formula fro the force applied to a spring: $F=ks$
where
$k$ is the spring constant
$s$ is the extension

Since we know the $F=ma$ , we can replace that in our formula and solve for $a$ :
$ma=ks$
$a= \frac{ks}{m}$
where
$a$ is the acceleration
$k$ is the spring constant
$s$ is the extension
$m$ is the mass

We know for our problem that $k=200$ , $s=0.4$ , and $m=25$ . So lets replace those values in our formula to find $a$ :
$a= \frac{ks}{m}$
$a= \frac{(200)(0.4)}{25}$
$a=3.5 \frac{m}{s^2}$

We can conclude that the acceleration of the block when s=0.4m is $3.5 \frac{m}{s^2}$ .

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3 years ago