A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6)?

Answers

Answer 1

Answer: $f_(2)$ = 100 - 8 = 92
$f_(3)$ = 92 - 8 = 84
$f_(4)$ = 84 - 8 = 76
$f_(5)$ = 76 - 8 = 68
$f_(6)$ = 68 - 8 = 60

$f_(6)$ = 60

Answer 2

Answer:

Answer:

Step-by-step explanation:

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A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels. Inventory has 500 shipping labels. How many days will it take to use the inventory of shipping labels? round to the nearest whole.

Answers

Answer: It will take 7 days to use the inventory of shipping labels.

Step-by-step explanation:

Given : Total boxes shipped by warehouse worker per day = 25

Every box contains 3 shipping labels.

Inventory has 500 shipping labels.

Then, the total number of boxes can be made = (Total shipping labels) ÷ (labels in each box)

500 ÷ 3 =166.67≈166

Number of days it will take to use the inventory of shipping labels= (total number of boxes can be made) ÷ (Total boxes shipped per day)

= 166÷ 25=6.64≈7

Hence, it will take 7 days to use the inventory of shipping labels.

how to is the tree that cast a shadow of 320 centimeter long and john who is majoring the tree is 180 centimeter tall and cast a shadow of 180 centimeter long?

Answers

ok so ratios
john casts a shadow of 180 when he is 180
therefor shadowheight=realheight
320shadowheight=realheight

realheight=320centimeters

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Answers

Answer:

b = 20√2

Step-by-step explanation:

Given: ΔABC

a = 20 , m∠A = 30° and m∠B = 45°

To find: value of b.

We use Sine result, which state that

$(a)/(sin\,A)=(b)/(sin\,B)$

Substituting given values we, get

$(20)/(sin\,30^(\circ))=(b)/(sin\,45^(\circ))$

we know that $sin\,30^(\circ)=(1)/(2)\:and\:sin\,45^(\circ)=(1)/(√(2))$ , we get

$(20)/((1)/(2))=(b)/((1)/(√(2)))$

$20{*2}=b*√(2)$

$b*√(2)=40$

$b=(40)/(√(2))$

$b=20√(2)$

Therefore, b = 20√2

The side b is opposite to the angle B, applying the law of the sines, we have:

$(a)/(sinA) = (b)/(sinB)$
$(20)/(sin30^0) = (b)/(sin45^0)$
$(20)/( (1)/(2) ) = (b)/( ( √(2) )/(2) )$
$20* ( √(2) )/(2) = b* (1)/(2)$
$(20 √(2) )/(2) = (b)/(2)$
$2*b =2*20 √(2)$
$2b = 40 √(2)$
$b = (40 √(2) )/(2)$
$\boxed{b = 20 √(2) }$

A spinner is separated into equal sections numbered 1 through 8. The spinner is spun, and 2 coins are flipped. Using the fundamental counting principle, how many total possible outcomes are there?

Answers

The fundamental counting principle states that the total number of outcomes for any compound event is found my multiplying the total number of possible outcomes for each event. The spinner has 8 possible outcomes which are the integers from 1 to 8, each of the two coins has two possible outcomes, a head and a tail.

By the fundamental counting principle, there total number of outcome $n$ is calculated as shown below,

$n=8*2*2=8* 4=32.$

There are 32 possible outcomes.

Answer:

Using the fundamental counting principle, the total possible outcomes are:

Step-by-step explanation:

The spinner is spun, and 2 coins are flipped.

Now when a spinner is spin then total 8 outcomes are possible.

Since any of the 8 numbers could be obtained on the spin( 1 to 8)

and when a coin is flipped then there are only two possible outcome i.e.

either Head or Tail.

Hence, the total number of possible outcomes are:

8×2×2=32

( since the first possibility 8 is possible from spinner and the '2' outcomes are possible from each of the flip of a coin )

Hence, the answer is:

LEAST TO GREATEST 1/10 2/6 3/5 6/10 SHOW WORK

(LOL)

Answers

first, convert so bottom numbers are the same

so find the smallest numbber that al of them will go into

10,6,5
first find th efactors
110=2 times 5
5=1 times 5
6=2 times 3

so the answer is 2 times 3 times 5=30

bottom number must by 30

1/10 times 3/3=3/30

2/6 times 5/5=10/30

3/5 times 6/6=18/30

6/10 times 2/2=18/30

least to greatest the order is 3,10,18

since3/5=6/10 they are equal so the order is

3/30,10/30,18/30,18/30 or

1/10,2/6,3/5,6/10 or since 3/5 and 6/10 is equivilent it is also
1/10,2/6,6/10.3/5

the common denominator is 30 so 1/10 would be 3/30 2/6 would be 10/30 3/5 would be 18/30 and 6/10 would be 18/30 in least to greatest it would be 1/10 2/6 6/10 and 3/5

Select the property of equality used to arrive aSelect the property of equality used to arrive at the conclusion.If x = 2, then x + 8 = 10

a.the multiplication property of equality

b.the division property of equality

c.the addition property of equality

d.the subtraction property of equality

Answers

would it be b

I really don't know thou

the answer would be D., x+8=10 you are going to subtract 8 from both sides to get x=2

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