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disa [49]
3 years ago
7

HELP!!!

Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

120

Step-by-step explanation:

We are given that the function for the number of students enrolled in a new course is f(x) = 4^{x}-1.

It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.

We know that the average rate of change is given by,

A = \frac{f(x)-f(a)}{x-a},

where f(x)-f(a) is the change in the function as the input value (x-a) changes.

Now, the number of students enrolled at 4 = f(4) = f(x) = 4^{4}-1 = 255 and the number of students enrolled at 2 = f(2) = f(x) = 4^{2}-1 = 15

So, the average increase A=\frac{f(4)-f(2)}{4-2} = A=\frac{255-15}{4-2} = A=\frac{240}{2} = 120.

Hence, the average increase in the number of students enrolled is 120.

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checkers is one of the oldest board games still played today. the oldest known checkerboard is over 5,000 years old. a standard
Sav [38]

Answer:

I think its 8 because 8 plus 8 is 64

4 0
2 years ago
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is
kap26 [50]

Answer:

64 inches or 64 pulgadas

Step-by-step explanation:

The formula for the perimeter of a rhombus is given as:

P = 4a

Where a = side length of the rhombus

From the above question, side length of the rhombus = 16 inches

Hence, Perimeter of the rhombus = 4 × 16 inches

= 64 inches

La fórmula para el perímetro de un rombo se da como:

P = 4a

Donde a = longitud del lado del rombo

De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas

Por lo tanto, perímetro del rombo = 4 × 16 pulgadas

= 64 pulgadas

6 0
2 years ago
8= 8 + 4x +5x<br><br> can anyone help me with this
dedylja [7]

Answer:

0= x

Step-by-step explanation:

8= 8 + 4x +5x

Combine like terms

8 = 8+9x

Subtract 8 from each side

8-8 =8+9x-8

0 = 9x

Divide by 9

0/9 = 9x/9

0= x

3 0
3 years ago
What is the answer to this how to work it
Anna007 [38]

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

7 0
2 years ago
A croissant shop produces two products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 oz of flour,
Kruka [31]

Answer:

letter A: B = 400; C = 1000; Max Z = $380

Step-by-step explanation:

bear claws (B) need 6 oz of flour (f), 1 oz of yeast (y), 2 ts of paste (p)

croissants (C) need 3 oz of flour (f), 1 oz of yeast (y), 4 ts of paste (p)

putting that information in equations, we have:

B = 6f + y + 2p

C = 3f + y + 4p

The total number of resources (R) are:

R = 6600f + 1400y + 4800p

Let's call M our total profit, "k1" the number of B produced and "k2" the number of C produced.

So, we can state that:

M = k1*0.2 + k2*0.3

The number of resources R2 will demand is calculated like this:

R2 = k1*B + k2*C = (6k1+3k2)f + (k1+k2)y + (2k1+4k2)p

using R2 and R, we can make some inequations:

6k1+3k2 <= 6600 -> 2k1+k2 <= 2200

k1+k2 <= 1400

2k1+4k2 <= 4800 -> k1+2k2 <= 2400

if we try to maximize k2 (as it worths more), we will have k1 = 0 and k2 = 1200 (limited by p), but looking at the resources R, we will still have resources to use (f and y). Looking at B and C expressions, we see that removing one C gives enough 'p' to make 2 B, which is a good trade (as 2B worths 0.4 cents, and 1C worths 0.3 cents). we have 200 'y' remaining, so doing this 200 times give us k1 = 400 and k2 = 1000, and the only resource remaining will be some of 'f'.

calculating the profit M, we have:

M = 400*0.2 + 1000*0.3 = 380$

the right answer is letter A.

3 0
3 years ago
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