A bucket holds 243.5 oz of water. The bucket loses 0.6 oz of water per second.In how many seconds will the bucket be 40% full

kkurt [141]

Answer:

g(x) = 2|x|
g(x) = -2|x|
g(x) = -2|x| -3
g(x) = -2|x-1| -3

Step-by-step explanation:

1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...

g(x) = 2|x|

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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.

g(x) = -2|x|

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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.

g(x) = -2|x| -3

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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...

g(x) = -2|x -1| -3

7 0

3 years ago

How do you simplify this –34–23a+16a

Dafna11 [192]

Answer:

-34 -7a

Step-by-step explanation:

–34–23a+16a

Combine like terms

-34 -7a

8 0

3 years ago

Read 2 more answers

Find the midpoint of points A(10,-7) and B(6, 1) graphically.

sashaice [31]

Answer:

(8,-3)

Step-by-step explanation:

Midpoint Formula: $(\frac{x^{1}+x^{2} }{2}, \frac{y^{1} +y^{2} }{{2} } )$

Plug in your numbers from the coordinates:

(10+6/2, -7+1/2)

(16/2, -6/2)

(8,-3)

4 0

2 years ago

Does anyone know this?

Stels [109]

Every hexagon clearly has 6 sides. Nevertheless, every time you "glue" two hexagons together, you "lose" 2 sides to your count, because the sides where the two hexagons meet are not exterior sides anymore, and so they are not taken into account in our counting.

Also observe that with n hexagons you have n-1 points of contact between hexagons.

Since every hexagon has 6 sides and every gluing point takes away 2 sides, the number of exterior sides with n hexagons is

$s(n)=6n - 2(n-1) = 6n-2n+2=4n+2$

Let's plug some values for n:

$s(1) = 4\cdot 1 + 2 = 4+2 = 6$
$s(2) = 4\cdot 2 + 2 = 8+2 = 10$
$s(3) = 4\cdot 3 + 2 = 12+2 = 14$
$s(4) = 4\cdot 4 + 2 = 16+2 = 18$

You can check that these values are correct by counting the sides on the figure you have.

Finally, we can count the sides of a train with 10 hexagons by plugging n=10 in our formula:

$s(10) = 4\cdot 10 + 2 = 40 + 2 = 42$

Note: the numbers we've given are the number of sides that form the perimeter. So, the actual perimeters are the number of sides multiplied by the length of the side itself: if we let $s$ be the length of the side, the perimeters will be $6s,\ 10s,\ 14s,\ 18s$ for the first 4 trains, and $42s$ for the 10-hexagon train.

6 0

3 years ago

The total income for African American households of a certain country making under $250,000 in 2008 is given in the following ta

snow_tiger [21]

Answer:

The mean income for African American households in 2008 was $ 45,613 (Rounded to the nearest dollar)

Step-by-step explanation:

1. Given the information from the table, let's calculate the mean income for African Americans households of a certain country in 2008.

For a successful work, first of all we need to take the data from two columns : Midpoint Salary and Frequency (in thousands):

Mean income = (10,000 * 4,491) + (30,000 * 3.844) + (50,000 * 2,500) + (70,000 * 1,498) + (90,000 * 875) + (125,000 * 994) + (175,000 * 323) + (225,000 * 72)/ Sum of all the frequency (in thousands)

Mean income = 665'815,000/ 14,597

Mean income = $ 45,613 (Rounded to the nearest dollar)

8 0

4 years ago