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3 years ago

The perimeter of a rectangle is 48 in. If the length is twice the width, what is the length of the rectangle?

1 answer:

7 0

Step one: We need to find the formula for perimeter. And we can't just say "count all the sides". How can we express it? It's length + length + width + width, right? Let's size that down a little bit. 2*length 2*width. We'll use w to express "width" and 2w to express "length".
2(w)+2(2w)=48.
6w=48.
w=8.
Since length is twice the width, 8*2 is 16. Length=16.

You can check it by substituting the different values for length and width into the equation 2w+2l=perimeter.
2(8)+2(16)=48. Is this true? Yep! So you know you're right.

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Write the standard equation for the circle 30. Center (2,7), r=4. 31. Center (-6,-8), that passes treough (0,0)

Salsk061 [2.6K]

The standard equation of the circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...

so

30.

(x-2)^2+(y-7)^2=16

31.

We need to find the radius...(I'll just use the Pythagorean Theorem)

r^2=6^2+8^2

r^2=36+64

r^2=100 (so the radius is 10) and its center is (-6,-8) so

(x+6)^2+(y+8)^2=100

3 0

3 years ago

John’s parents recorded his height at various ages between 36 and 66 months.

timurjin [86]

Answer:

Step-by-step explanation:

a)General least square regression line is ,

$Y=a+(b*x)$

Where,a=intercept. b= slope

To get line just find values of a and b.

Use Excel to find values.

First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.

Then for value of a use functufuas ,

=INTERCEPT(A1:A5,B1:B5)

Then hit enter ,therefore a=20.4595

For b use function as. =SLOPE(A1:A5,B1:B5)

Then hit enter.therefore b=0.3738

Therefore equation of least square regression line is

Y=20.4595+(0.3738*x)

b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.

Y=20.4595+(0.3738+252)

Y=20.4595+94.1976

Y=114.6571

Conclusion: height will be 114.6571 inches when age change by 1 unit.

7 0

3 years ago

What is the rate of change of the function?

guajiro [1.7K]

Answer:

-2

Step-by-step explanation:

Rise over run

Pick a point and check how much it goes vertically, then divide it by how much it goes horizontally.

5 0

3 years ago

Read 2 more answers

HELP !! a sandwich shop purchases a used pizza oven for $875. after 5 years, the oven will have to be discarded and replaced. wr

Sladkaya [172]

<h3>Answer: V = -175t + 875</h3>

==================================================

Explanation:

I'll use y in place of V for now. Also, I'll use x in place of t.

x = number of years

y = value of the oven

Initially, the oven's value is $875, so x = 0 and y = 875 pair up together. The point (0,875) is on the line.

The point (5, 0) is also on the line to indicate that x = 5 years later is when the value of the oven is y = 0 dollars.

We need to find the equation of the line through (0,875) and (5,0)

First we'll need the slope

m = (y2-y1)/(x2-x1)

m = (0-875)/(5-0)

m = -175

The negative slope means the oven is losing 175 dollars in value each year.

The y intercept is b = 875 as this is the initial value of the oven

Put together, y = mx+b turns into y = -175x+875

If we plugged x = 0 into this equation, we'd get y = 875

Similarly, plugging x = 5 into y = -175x+875 leads to y = 0. This helps check we have the right equation

Lastly, replace x with t and replace y with V to end up with V = -175t + 875 which is our final answer.

5 0

3 years ago

How can you use order numbers that are written as fractions, decimals, and percents?

galina1969 [7]

2.5 4/5 8% that is an example of written fractions decimal and percents

7 0

3 years ago