All categories

3 years ago

12. If f(5) = 20.58 and f(6)= 2.94 f(7) = __. f(8) = Recursive Function:

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

Answer: f(7)=0.42 and f(8)=0.06 Recursive Function: f(n)=f(n-1)•1/7 (I dont know the starting point)

statuscvo [17]3 years ago

5 0

Answer:

What's the answer

Step-by-step explanation:

You might be interested in

Guys I need your help !!!

mars1129 [50]

Answer:

hope this helps you

a lot

have a great day..

4 0

2 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

Read 2 more answers

Explain how your model for 3/5 minus 1/2 is different from your model for 3/5 minus 3/10

TEA [102]

It is different because to find out the answer, change all denominators to 10, since the LCD is 10. 6/10-5/10=1/10 6/10-6/10=0/10 1/10 is not equal to 0/10

8 0

3 years ago

Assume that the number of defective basketballs produced is related by a linear equation to the total number produced. Suppose t

sveta [45]

Answer: 22 defective balls

Step-by-step explanation:

Using the law of equality,

9 defective balls = 225 ...eqn 1.

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We can use any two of the equations above to get the unknown variable 'x'

Using equations 2 and 3,

14 defective balls = 350...eqn 2

x defective balls = 550...eqn 3

We cross multiply to have

x×350 = 14×550

Dividing both sides by 350,

x = 14×550/350

x = 22.

Therefore, the number of defective balls produced in a lot of 550 balls are 22balls.

Note that we will still arrive at the same answer (22balls) if equation 1 and 3 are used for our solution.

Thank you!

8 0

3 years ago

MANSAH OBTAINED 150 MARKS OUT OF 240 MARKS IN AN ENGLISH TEST. WHAT WAS HER PERCENTAGE SCORE?

Zanzabum

Answer:

62.5%

Step-by-step explanation:

150/240 x 100

5/8 x 100

= 62.5%

3 0

3 years ago