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Amiraneli [1.4K]
3 years ago
12

Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

It would be 1.315 × 10¹⁰.

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A triangle has vertices A(1, 1), B(2, 4), and C(4, 2). Line p is parallel to side AB and contains point C.
kenny6666 [7]

Answer:

p:y = 3x-10

Step-by-step explanation:

We are given the following in the question:

A(1, 1), B(2, 4), C(4, 2)

i) Slope of AB

A(1, 1), B(2, 4)\\\\m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{4-1}{2-1}=3

Thus, slope of AB is 3.

ii) Point slope form

The point slope form of a line can be written as:

y - y_1 = m(x - x_1)

The point intercept form of line can be written as:

y = mx + c

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB

Putting values, we get,

y - 2 = 3(x-4)\\y = 3x-12+2\\y = 3x-10

which is the required slope intercept equation of line p.

4 0
3 years ago
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to pla
Dominik [7]

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

3 0
2 years ago
The dimensions of a rectangle are given in
alexandr1967 [171]

Option A and Option F

The expressions that represent the perimeter of rectangle are 4s + 1 and 2(2s + \frac{1}{2})

<em><u>Solution:</u></em>

From figure,

Length = s

Width = s + \frac{1}{2}

<em><u>The perimeter of rectangle is given as:</u></em>

perimeter = 2(length + width)

Substituting the values we get,

perimeter = 2(s + s + \frac{1}{2})\\\\perimeter = 2(2s + \frac{1}{2})

Thus option F is correct

On further simplification,

perimeter = 2(2s + \frac{1}{2})\\\\perimeter = 4s + 2(\frac{1}{2})\\\\perimeter = 4s + 1

Thus Option A is correct

3 0
3 years ago
Suppose the diameter of a circle is 12. What is its area?
Marat540 [252]
The area of a circle = Pi(3.141592) x R (radius-half of diameter)^2
A=113.1
3 0
3 years ago
Last year, at the Great American Pie Festival, over 16,000 slices of pie was eaten. If each piece of pie is 1/8 of and entire pi
egoroff_w [7]
16,000 slices/8 slices per pie=2,000 pies.
4 0
3 years ago
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