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Sergio039 [100]
3 years ago
13

a grocer stacks oranges in a square pyramid. each orange sits on the 4 oranges below it. so, the top layer has 1 orange and the

layer below it has 4 oranges. the layer below that has 9 oranges. the total number of oranges required for 1 layer is 1. the total number of oranges required for 2 layers is 5. the total number of oranges required for 3 layers is 14. Write a recursive formula for the sequence. how many oranges are required for 10 layers?
Mathematics
1 answer:
zaharov [31]3 years ago
8 0
The top layer has 1 orange and the layer below has 4 oranges, the layer below has 9 oranges, the total number of oranges for each layer:

Layer 1 = 1 orange
Layer 2 = 4 oranges
Layer 3 = 9 oranges
Total: 14 oranges. 

The number of oranges required for 10 layers can be solved using an arithmetic sequence. 
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What is 20x2<br> a 40<br> b 70<br> c 100
Sunny_sXe [5.5K]
20x2= 40 just like 20+20=40
3 0
2 years ago
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k
gavmur [86]
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface

Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.

Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
6 0
3 years ago
Find the value of x to the nearest tenth 10 and 35
Verdich [7]

We can use the tangent rule for this problem because the opposite x is unknown and adjacent side 10 is knwon. Since,

tan \theta= \frac{Opposite side}{Adjacent side}

tan 35=\frac{x}{10}

0.474=\frac{x}{10} Since tan 35°=0.474

0.474*10=\frac{x}{10}*10 Multiplying each sides by 10.

4.74=x

x=4.7 (Rounded to nearest tenth)

3 0
3 years ago
What is the greatest common factor of 48 and 64?
aleksklad [387]

Answer:

The GCF of 48 and 64 is 16

Step-by-step explanation:

To figure out GCF, you make a list of all the prime factors, pick out the numbers they have in common, and multiply them together.  In this case:

48:  2 x 2 x 2 x 2 x 3

64: 2 x 2 x 2 x 2 x 2 x 2

They have four 2's in common, so you multiply 2 x 2 x 2 x 2 =16

8 0
3 years ago
Tell whether the lines for each pair of questions are parallel or perpendicular or neither y=5/3x+3. 20x+12y=12
disa [49]

neither

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = \frac{5}{3} x + 3 is in this form

with slope m = \frac{5}{3}

rearrange 20x + 12y = 12 into this form

subtract 20x from both sides

12y = - 20x + 12 ( divide all terms by 12 )

y = - \frac{5}{3} + 1 ← in slope-intercept form

with slope m = - \frac{5}{3}

Neither of the conditions for parallel/ perpendicular slopes are met

Hence the lines are neither parallel/ perpendicular


8 0
3 years ago
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