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ElenaW [278]
3 years ago
6

Cannon balls for an antique cannon are stacked next to it in four layers to form a square pyramid. How many cannon balls are in

a pryimad
Mathematics
1 answer:
labwork [276]3 years ago
7 0
The amount of balls in a given layer can be found by squaring the layer it is in

4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16

add them up
1+4+9+16=30

30 in that pyramid
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The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x)
Dafna11 [192]

Answer:

Remainder when p(x) is divided by (x+2) is -29

Step-by-step explanation:

p(x) = x^{3} - 2x^{2} + 8x + k

When p(x) is divided by (x-2), remainder is 19.

p(x - 2 = 0)  gives the remainder when p(x) is divided by (x-2)

x - 2 = 0

x = 2

p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k = 19

8 - 8 + 16 + k = 19

k = 3

p(x) = x^{3} - 2x^{2} + 8x + 3

p(x + 2 = 0)  gives the remainder when p(x) is divided by (x+2)

x + 2 = 0

x = -2

p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3

p(-2) = - 8 - 8 - 16 + 3 = -29

Remainder when p(x) is divided by (x+2) is -29

6 0
3 years ago
Read 2 more answers
Find the amount of time. I $2,064, P = $10,000, r = 6.88%
vagabundo [1.1K]

Answer:

Can u show an image

Step-by-step explanation:

5 0
3 years ago
How many ways can 10 students line up in a food counter?
KonstantinChe [14]

Answer:

for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...

so its 10x9x8x7x6x5x4x3x2x1=3628800

Step-by-step explanation:

sana makatulong

3 0
2 years ago
A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide it in half with a fence down
Svet_ta [14]

Answer:

  f(w) = 3w + 2,000,000/w

Step-by-step explanation:

We know that the area of a rectangle is the product of its length and width:

  A = LW

Filling in the given values lets us write an expression for the length of the field.

  1,000,000 = Lw

  L = 1,000,000/w

Since there are 3 fences of length w and two of length L, the total perimeter fence length is the sum ...

  f(w) = 3w + 2(1,000,000)/w

Combining the constants, we have a function for the perimeter fence length in terms of the width of the field:

  f(w) = 3w +2,000,000/w

5 0
3 years ago
Which is the function represented by the table? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, neg
Serggg [28]

Answer:

f(x)=4x

Step-by-step explanation:

Given: See the attached image

To find: the function represented by the table

Solution:

A function is a relation in which every element of the domain has a unique image in the co-domain.

f(-2)=-8=4(-2)\\f(-1)=-4=4(-1)\\f(0)=0=4(0)\\f(1)=4=4(1)

Here, -2,-1,0,1 are elements in the domain and -8,-4,0,4 are elements in the co-domain.

Therefore, the table represents the function f(x)=4x

Download docx
7 0
3 years ago
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