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Jet001 [13]
3 years ago
11

Help please What is the 33rd term of this arithmetic sequence? 12, 7, 2, -3, -8

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
The 33rd term of this sequence is -148.
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125/250 in its simplest form
guajiro [1.7K]
1/2 is the simplest form 
5 0
3 years ago
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ
babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2  = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is  2 + 4000/x^3

when x = 10  this is positive so x = 10 gives a minimum value of A.

So y =  500/x^2

= 500/100

= 5.

6 0
3 years ago
Sandy was asked to describe the transformation of y=-3(x - 4)^2 - 6 from the parent graph of y=x^2
gavmur [86]

Answer:

As below.

Step-by-step explanation:

The -4 shifts the graph to the right not the left.

The second error is the refection is over the x-axis not the y-axis.

5 0
3 years ago
Demonstrate how repeated subtraction can be used to show that 22 dividend by 7 = 3 r 1
Rudik [331]
22-7-7-7=1 this will show that you can subtract 7 three times from 22 and have a remainder of 1.
6 0
3 years ago
Find the value of x and y​
Svetllana [295]

Answer:

x = 1

y = -3

Step-by-step explanation:

cos(pi) = -1

so many ways :

sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)

= sqrt(0.5/2 × 18/18) = sqrt(9/36)

= sqrt(1/4) = 1/2

"nicest" approach (all integers) :

3x² = sqrt(9)

3x² = 3

x² = 3/3 = 1

x = 1

2y = sqrt(36)

2y = 6

y = 6/2 = 3

one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.

so, y = -3

-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2

-1 × 3/-6 = 1/2

3/6 = 1/2

1/2 = 1/2

correct

4 0
2 years ago
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