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True [87]
3 years ago
13

F(5)= 12 for a geometric sequence that is defined recursively by the formula f(n) = 0.3• f(n-1), where n is an integer and n>

0. Find f(7)Round your answer to the nearest hundreth
Mathematics
2 answers:
aksik [14]3 years ago
7 0

Answer:

1.8

Step-by-step explanation:

Morgarella [4.7K]3 years ago
6 0

Answer:

1.8

Step-by-step explanation:

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Can someone help ne with this question please
bezimeni [28]

Answer: 34

Step-by-step explanation: 2/5 = 4/10 = 12/30  This means that the machine cuts out 12m lengths for every roll now you just take 400/12 and you get your answer. Now 400/12 will be 33,333... So just round it up to how many she needs aka 34

3 0
3 years ago
A soccer team won 62% of their games. How many did they win if they payed 50 games?
Varvara68 [4.7K]

Answer:

31

Step-by-step explanation:

50 x .62= 31

(games played) x the percentage won.

You could muliply 50 by 62% if your calculator has the % symbol if not you have to turn it into a decimal. To go from percent to decimal just take your percentage and move the decimal to the left twice. 62% = .62

8 0
3 years ago
2 less than the product of 5 and n
Deffense [45]

The product of 5 and n is written as 5n.

Two less than this product is 5n-2

7 0
3 years ago
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
Yuri [45]

Let the curve C be the intersection of the cylinder  



16x^2+y^2=16



and the plane



x+y+z=1



The projection of C on to the x-y plane is the ellipse



16x^2+y^2=16



To see clearly that this is an ellipse, le us divide through by 16, to get



\frac{x^2}{1}+ \frac{y^2}{16}=1



or  



\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1,



We can write the following parametric equations,



x=cos(t), y=4sin(t)



for  



0\le t \le 2\pi



Since C lies on the plane,



x+y+z=1



it must satisfy its equation.



Let us make z the subject first,  



z=1-x-y



This implies that,



z=1-sin(t)-4cos(t)



We can now write the vector equation of C, to obtain,



r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))



The length of the curve of the intersection of the cylinder and the plane is now given by,



\int\limits^{2\pi}_0 {|r'(t)|} \, dt



But  



r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))



|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}



\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184



Therefore the length of the curve of the intersection  intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0
3 years ago
What is the slope of the line through points (0,6) and (5,-4)
anastassius [24]
The slope between the points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(0,6) and (5,-4)
x1=0
y1=6
x2=5
y2=-4

slope=(-4-6)/(5-0)=-10/5=-2
slope=-2
7 0
3 years ago
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