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Len [333]
3 years ago
13

An arborist measured the growth of an orange tree. The tree grew 13 inches per year. On average how many millimeters did the tre

e grow per day?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

if ya divide 13 by 356 u get 3.688202247191011

dat ya answer

:)

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Write an equation of the line that passes through (0,-5) and is perpendicular to the line y=4/5x.
Illusion [34]

Answer:

y = -5/4x - 5

Step-by-step explanation:

3 0
3 years ago
A board is 3.5 m long. Four pieces, each.4 m long, are cut off. How much is left?​
lys-0071 [83]

Answer:

1.9  m

Step-by-step explanation:

3.5 - (4*0.4)

3.5 - 1.6 = 1.9

8 0
3 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
3 years ago
A certain forest covers an area of 4600km. Suppose that each year this area decreases by 7.75%. What will the area be after 13 y
wolverine [178]

Answer:

1679.60\ km^2

Step-by-step explanation:

-We can use the exponential decay function to estimate the size after 13 years:

P_t=P_oe^{-rt}

Where:

P_t is the size after t years, t is the time, r is the rate of decay and P_o the original size.

#We substitute and calculate as:

P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60

Hence, the forest covers 1679.60\ km^2 after 13 years.

4 0
3 years ago
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Serhud [2]

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

7 0
3 years ago
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