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Sholpan [36]
3 years ago
10

Please help, I don't understand this!

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

9514 1404 393

Answer:

  A: a = 100

  B: b = 2

Step-by-step explanation:

The problem statement tells you that the population of bacteria is 100 at the start of our observation.

  t = 0, f(t) = f(0) = 100

If you remember that a 0 exponent means the value is 1, then you know ...

  f(0) = a·b^0 = a·1 = a

Since f(0) = 100, we know a = 100.

__

An exponent signifies repeated multiplication.

We know the population at t=0 is 100. At t = 1, we are told the population doubles. That means it is multiplied by 2.

 f(1) = 100·b^1 = 100·2

  b^1 = 2 . . . . . . . . . . . . . . . matching parts of these expressions

  b = 2 . . . . . . . . . . . . . because b^1 = b

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3 0
3 years ago
The James63 Algorithm:<br><br> 13 x 63 + 592 / 72 x V<br><br> V = 13 x 63 + 592 / 72
Nonamiya [84]

Answer:

answer 1962323

Step-by-step explanation:

7 0
3 years ago
I really need help do can someone do it step by step so I can understand plzzzz​
Alekssandra [29.7K]

Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

=>

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

3 0
2 years ago
Find the volume of the triangular prism.
Anna35 [415]
First you find the area of the front face 1/2bh or in you case 10x12=120  1/2 of 120 is 60  next you multiply 60 by 20 to get 1,200 for the voulume 
3 0
3 years ago
LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
sp2606 [1]

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

4 0
3 years ago
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