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satela [25.4K]
3 years ago
11

about 60000 acres of wetlands are lost each year in the United States. what integer represents the change in wetlands after 4 ye

ars?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

240 000

Step-by-step explanation:

Change in wetlands each year: 60 000 acres

Change in wetlands after 4 years:

60 000 x 4 = 240 000 (acres)

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What is the equation for each parabola in y=a(x-r)(x-s) form?<br><br>Please explain it step by step
ozzi
1. first parabola is up, so a are going to be positive
y = a(x-r)(x-s), 
roots -7,-3, so we can write y=a(x+7)(x+3)   [1]
we can take point (-5,-2), substitute into equation [1], and find value of a
-2=a(-5+7)(-5+3)
-2=a*2*(-2)
a=1/2
so first parabola has an equation 
y=1/2(x+7)(x+3) 

2. second parabola
y=a(x-r)(x-s)      roots are 2 and 4 so we ca write
y=a(x-2)(x-4) take point (3,4) and substitute into this equation
4 =a(3-2)(3-4)
4=-a
a=-4, and it will look down
y=-4(x-2)(x-4)

6 0
3 years ago
a bag contains 5 red marbles 4 white marbles and 3 blue marbles. You draw a marble and replace it two times. Find each probabili
const2013 [10]

Answer:

8 is the probablitiy

Step-by-step explanation:

4+5=9 -1 = 8

4 0
3 years ago
find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)
Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

(x_1, y_1)=(-2,1)

(x_2, y_2)=(4,5)  

m:n=3:7    

Upon substituting coordinates of our given points in section formula we will get,

[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]

[x=\frac{12-14}{10}, y= \frac{15+7}{10}]

[x=\frac{-2}{10}, y= \frac{22}{10}]

[x=-0.2, y= 2.2]

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0
3 years ago
Determine the fraction of total interest owed using the rule of 78.
Monica [59]

Answer:

The numerator is 57 ⇒ B

The denominator is 78 ⇒ B

The value of the fraction is 73.1% ⇒ A

Step-by-step explanation:

Let us solve it step by step

∵ The loan is 12 month

∵ The numerator is after 6 month

- Put n = 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

∴ The numerator = {57}

The numerator is 57

∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- Do the same as the numerator put n = 1

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

The denominator is 78

Now find the value of the fraction

∵ The fraction = \frac{57}{78}

∴ Its value = 0.730769230

- Multiply it by 100%

∴ Its value = 0.730769230 × 100% = 73.0769230%

- Round it to the nearest tenth

∴ Its value = 73.1%

The value of the fraction is 73.1%

8 0
3 years ago
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1.7 is the answer hope this helps.
5 0
3 years ago
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