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2 years ago

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Ilene who is not yet 21 years old, is two years older than ida

1 answer:

vagabundo [1.1K]2 years ago

0 0

Answer:

whats the question you need answered?

Step-by-step explanation:

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Ray LR is to be added to the diagram so that it is opposite

olga nikolaevna [1]

Answer:

Your answer is A. Just took a online test

8 0

2 years ago

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The length of a swimming pool is 8m longer than its width and the area is 105m2

Debora [2.8K]

$width : w \\ length : \ l = w + 8 \\ A = 105 \ m^2 \\ \\A= w \cdot l \\ \\w(w+l)=105 \\ \\w^2+w = 105 \\ \\w^2+w-105 =0 \\ \\(w+15)(w-7)=0 \\ \\w+15 =0 \ \ or \ \ w-7 = 0 \\ \\w = -15 \ \ or \ \ w=7 \\ \\ width \ cant \ be \ negative, \ so \\ \\ w = 7 \ and \ l = w+8 = 7 +8 =15 \\ \\chek : \\ \\ A=w\cdot l \\ \\A=7\cdot 15=105 \ m^2$

8 0

2 years ago

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Show that the Fibonacci numbers satisfy the recurrence relation fn = 5fn−4 + 3fn−5 for n = 5, 6, 7, . . . , together with the in

Sonja [21]

Answer with step-by-step explanation:

We are given that the recurrence relation

$f_n=5f_{n-4}+3f_{n-5}$

for n=5,6,7,..

Initial condition

$f_0=0,f_1=1,f_2=1,f_3=2,f_4=3$

We have to show that Fibonacci numbers satisfies the recurrence relation.

The recurrence relation of Fibonacci numbers

$f_n=f_{n-1}+f_{n-2}$ , $f_0=0,f_1=1$

Apply this

$f_n=(f_{n-2}+f_{n-3})+f_{n-2}=2f_{n-2}+f_{n-3}$

$f_n=2(f_{n-3}+f_{n-4})+f_{n-3}=3f_{n-3}+2f_{n-4}$

$f_n=3(f_{n-4}+f_{n-5})+2f_{n-4}=5f_{n-4}+3f_{n-5}$

Substitute n=2

$f_2=f_1+f_0=1+0=1$

$f_3=f_2+f_1=1+1=2$

$f_4=f_3+f_2=2+1=3$

Hence, the Fibonacci numbers satisfied the given recurrence relation .

Now, we have to show that $f_{5n}$ is divisible by 5 for n=1,2,3,..

Now replace n by 5n

$f_{5n}=5f_{5n-4}+3f_{5n-5}$

Apply induction

Substitute n=1

$f_5=5f_1+3f_0=5+0=5$

It is true for n=1

Suppose it is true for n=k

$f_{5k}=5f_{5k-4}+3f_{5k-5}$ is divisible 5

Let $f_{5k}=5q$

Now, we shall prove that for n=k+1 is true

$f_{5k+5}=5f_{5k+5-4}+3f_{5k+5-5}=5f_{5k+1}+3f_{5k}=5f_{5k+1}+3(5q)$

$f_{5k+5}=5(f_{5k+1}+3q)$

It is multiple of 5 .Therefore, it is divisible by 5.

It is true for n=k+1

Hence, the $f_{5n}$ is divisible by 5 for n=1,2,3,..

8 0

2 years ago

Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide

MrRa [10]

Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since $1\ ft=12\ in$ ,you get:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

So in this case you can identify that:

$r=\frac{1}{6}\\\\h=L$

Then, substituting them into the formula and simplifying you get:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

$\frac{1}{36}\pi L$

4 0

2 years ago

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At a breakfast buffet, 54% of people choose coffee for their beverage while 16% choose juice. Also, 12% choose both coffee and j

AnnZ [28]

Answer:

I'm gonna have to say 54%.

Step-by-step explanation:

It says right in the question, "At a breakfast buffet, 54% of people choose coffee for their beverage"

3 0

2 years ago

Read 2 more answers