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3 years ago

A sequence is defined recursively by f(1)=16 and f(n)=f(n-1)+2n. Find f(4) 1) 32 2) 30 3) 28 4) 34

1 answer:

5 0

$f(1)=16 \ \ \ and \ \ \ \ f(n)=f(n-1)+2n \\ \\f(2)=f(1)+2\cdot2=16+4=20\\ \\f(3)=f(2)+2\cdot3=20+6=26\\ \\f(4)=f(3)+2\cdot4 =26+8=34$

$Ans.\ 4)$

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Multiply.

Vedmedyk [2.9K]

Answer:

Hello, There! i Noticed that your Question is 4.62 x 106 I'm Suggesting you mean 4.2 x 10 to the 6th power.

4,620,000 Is the Correct Answer My Friend! <3

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3 0

3 years ago

In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

$\mu=np=300\times0.077=23.1$

$\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62$

Now, using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponding to 26 will be :-

$z=\dfrac{26-23.1}{4.62}\approx0.63$

Using standard distribution table for z , we have

P-value= $P(z\geq0.63)=1-P(z$

$=1-0.7356527=0.2643473\approx0.2643$

Hence, the probability that at least 26 in the sample are unemployed =0.2643

6 0

3 years ago

What is the area?<br> 5 yd<br> 2 yd<br> 10 yd<br> square yards

pickupchik [31]

The area in yards is 5

5 0

3 years ago

Please help and thank you!

Stolb23 [73]

The conversion is

$x = r \cos \theta$

$y = r \sin \theta$

$\dfrac y x = \tan \theta$

We're given the fairly unusual

$\theta = -\frac 5 2$

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

$\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747$

Ah, there's our .75. The approximate answer is

$y = 0.75 x$

Third choice.

The exact answer is

$y = x \tan( -\frac 5 2)$

also a line through the origin.

3 0

3 years ago

For four weeks in June Cameron baked 3 1/4 miles each week and swim 2 1/2 miles each week for three weeks in July he baked 4 3/4

Tems11 [23]

For June:
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater

6 0

3 years ago