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choli [55]
3 years ago
10

A grocer stacks oranges in a four-sided pyramid that is 7 layers high, how many oranges are in a pile? The explicit formula for

a pyramid
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0

Answer:

140 oranges

Step-by-step explanation:

From the Question, we know that the pyramid has 7 layers

The number of oranges in the first layer is = 1

Hence, the number of oranges in a pile is calculated as:

1² + 2² + 3² + 4² + 5² + 6² + 7²

= 1 + 4 + 9 + 16 + 25 + 36 + 49

= 140 oranges

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What is the y-intercept of the function, represented by the table of values
soldi70 [24.7K]

Answer:

8

Step-by-step explanation:

The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.

To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:

y = mx + b

Where, m is the slope = (y2 - y1)/(x2 - x1)

b = the y-intercept we are to find

y and x could be any values of a point on the graph which is represented in the table of values.

First, let's find the slope (m):

Let's use any 2 given pairs of the values in the table above.

Using,

(1, 4), (2, 0),

y1 = 4,

y2 = 0

x1 = 1

x2 = 2

m = (0 - 4)/(2 - 1)

m = -4/1 = -4

=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.

Let's use, (1, 4) as our x and y values.

Thus,

4 = -4(1) + b

4 = -4 + b

Add 4 to both sides to solve for b

4 + 4 = -4 + b + 4

8 = b

y-intercept of the function represented by the table of values = 8

8 0
4 years ago
How much did Mr Lancaster donate the foundational
lesya692 [45]
$250,000,064 is thee answer I think
4 0
3 years ago
Simplify the expression 9k(8k+7)
Sholpan [36]

Answer:

<em>135k</em>

Step-by-step explanation:

<em>9k*8k=72k</em>

<em>9k*7=63k</em>

<em>72k+63k=135k</em>

4 0
3 years ago
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Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)
Molodets [167]

Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

4 0
3 years ago
Which table represent a function
Dennis_Churaev [7]

Answer:

Table 1

The first table

Step-by-step explanation:

7 0
3 years ago
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