In a 77-kilometer relay race each of 22 team members will run and equal distance how many kilometers will each team run?

The next term in the sequence is obtained by subtracting 4 from the previous term:

13 = 17 - 4

9 = 13 - 4

5 = 9 - 4

and so on.

Recursively, we can describe the n-th term in the sequence (denoted a(n)) as a function of the (n - 1)-th term:

a(n) = a(n - 1) - 4

starting with a(1) = 17. So we have, for instance,

a(2) = a(1) - 4 = 17 - 4 = 13

We want to find an explicit formula for a(n), meaning we want a way to determine the n-th term only as a function of n, and not any other known term in the sequence. We can iteratively apply the recursive rule above:

a(n) = a(n - 1) - 4

a(n - 1) = a(n - 2) - 4

→   a(n) = (a(n - 2) - 4) - 4 = a(n - 2) - 2×4

a(n - 2) = a(n - 3) - 4

→   a(n) = (a(n - 3) - 4) - 2×4 = a(n - 3) - 3×4

a(n - 3) = a(n - 4) - 4

→   a(n) = (a(n - 4) - 4) - 3×4 = a(n - 4) - 4×4

and so on, down to

a(n) = a(1) - (n - 1)×4

The first term is a(1) = 17, so

a(n) = 17 - 4 (n - 1) = 21 - 4n

Answer:

9/5 feet if they want an improper fraction

Step-by-step explanation:

p = 2l + 2w

2(7/10) = 14/10

rewrite 1/5 as 2/10

2(2/10) = 4/10

14/10 + 4/10 = 18/10 feet or simplified to 9/5 feet if they want an improper fraction

Answer:

Write the relation as a set of ordered pairs.

Step-by-step explanation:

A relation. An arrow goes from negative 2 to 4, 0 to 6, 2 to 8.

a.

ordered pairs: {(4, –2), (0, 6), (2, 8)}

b.

ordered pairs: {(–2, 4), (0, 6), (2, 8)}

c.

ordered pairs: {(4, –2), (0, 6), (8, 2)}

d.

ordered pairs: {(–2, 4), (6, 0), (8, 2)}

Answer:

See Explanation

Step-by-step explanation:

The question has missing details, as the base area and height of the prism is not given.

To solve further, I'll assume that:

[tex]Base\ Area = 12\ in^2[/tex]

and

[tex]Height = 5in[/tex]

Using the above parameters, as point of reference.

The volume is:

[tex]Volume = Base\ Area * Height[/tex]

[tex]Volume = 12\ in^2 * 5\ in[/tex]

[tex]Volume = 60\ in^3[/tex]

Answer:

19

Step-by-step explanation:

The probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

P(Small | Cold) = n(Small and Cold)/n(Cold)

From the table:

P(Small | Cold) = 8/(8 + 12 + 5)

P(Small | Cold) = 0.32

or

P(Small | Cold) = 32%

Thus, the probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

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Answer:

Step-by-step explanation:

Mel passed the math class.

Mel failed the math class.

Mel likes math.

Mel took math this semester.

Question 15

10 Points

Indicate the most appropriate if-then statement that the English sentence represents:

People 25 years or older do not pay an additional car rental fee.

If a person is 25 years old or older, then the person does not pay an additional car rental fee.

If a person is 25 years old or younger, then the person does not pay an additional car rental fee.

If a person does not need to pay an additional car rental fee, then the person is 25 years old or older.

Unknown

Question 16

10 Points

Given: If X, then Y. If Y, then Z.

Y is true. So:

X is unknown, Z is unknown

X is unknown, Z is true

X is false, Z is true

X is true, Z is true

Question 17

10 Points

Using everyday knowledge, which of the following statements is an if-then statement whose reverse is also correct?

If the TV is unplugged, then the TV will not turn on.

If the light bulb was recently on, then the light bulb is hot.

If an ambulance has emergency lights on, then cars on the road pull over.

If the wind is blowing, then the weather is chilly.

Question 18

10 Points

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling.

/ Statement 2: If the sprinklers are on, then the grass is wet.

Forward-only / Forward-only

Forward-only / Forward and reverse

Forward and reverse / Forward-only

Forward and reverse / Forward and reverse

Question 19

10 Points

Given: If A AND B, then C. Given: The if-then statement's reverse is also correct. Given A is false, B is false. What is C?

True

False

Both true and false

Unknown

Question 20

10 Points

What pages will be favored for the given search? Search terms: Michael OR Jordan

Pages about Michael Jordan

Pages about Michael, plus pages about OR, plus pages about Jordan

Pages about Michael, plus pages about Jordan

Pages about Michael, plus pages about Jordan, plus pages about both

Question 21

10 Points

The rules for a soccer player receiving a yellow card are as follows:

IF a player

delays-restart

OR (dissents-by-word OR dissents-by-action)

OR ((enters OR re-enters OR leaves) AND NOT (had-permission))

OR ((corner-kick OR free-kick OR throw-in) AND fails-respect-distance)

OR commits-persistence-offences

THEN the player should receive a yellow card

A player leaves the field with permission. Later, the player re-enters the field without permission. The player:

Should receive a yellow card

Should not receive a yellow card

Should receive a yellow card only if the player also delays the restart

Should receive a yellow card only if committing all the other 4 offenses too

Question 22

10 Points

What percentage of people partake in physical activity and abstain from smoking, but do not eat fruit and vegetables?

1%

5%

10%

14%

Question 23

10 Points

Given the true/false statements are true (facts), select the best logical induction made from those statements:

Mo likes oranges. Jai likes oranges. Ben likes oranges.

People don't like apples

People only like oranges

People like oranges

People like fruit

Question 24

10 Points

Given a function described as the table below, what is y when x is 2?

0

1

2

4

Question 25

10 Points

Given a function described as the graph below, what is y when x is 3?

1

3

6

10

Question 26

10 Points

The figure below shows total costs for three gym memberships. Which is the most accurate statement?

Of the 3 memberships, Monthly is cheapest for under 5 months, while Standard is cheapest for over 10 months.

Platinum is costliest for any duration

Monthly is cheapest for any duration except for 5-10 months

Standard is cheapest for a duration between 5-10 months; other plans are cheaper for shorter or longer durations.  

Question 27

10 Points

The figure shows estimated medical costs versus what a user actually pays for three health insurance plans with different deductibles. For which plan does the user pay the least for estimated medical costs of $4,000?  

$500 deductible plan

$1,000 deductible plan

$2,000 deductible plan

The user pays the same for all three plans.

Question 28

10 Points

What is the value of cell C2?

2

24

50

64

Question 29

10 Points

What formula should be entered in A3 to compute A1 divided by C3?

=A3/A1

=A1/C3  

=A1*C3

=C3/A1

Question 30

10 Points

Based on the vertical bar chart below, in which of the following months were approximately 10% of professional European soccer players born?

January

April  

October

December

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Details & Information

Assessment due date

2/2/21, 1:59 AM (EST)

Goals & standards

Aligned with 2 goals

Attempts

1 attempt left

Grading

Maximum points

300 points

Description

Complete the midterm exam. You have one attempt at the exam. So, be sure you review all previous course

Hence , correct option is Option B i.e. Mel did pass the class.

The statement says that Mel scored C+ is Chemistry.

We will approach our answer logically by examining each option.

Option A says Mel does not like chemistry. This Cannot be true because maybe Mel likes chemistry but he just has scored less or maybe this C+ is an achievement for Mel.

Option B says that Mel did pass the class. This is possible because a student is considered as not qualified if he/she scores D or below, but Mel has scored C+ which is above the qualifying criteria.

Option C says that Mel did not achieve a passing grade for the class which is false because C+ is a passing grade scored by Mel.

Option D is Mel took math this semester which doesn't makes any sense.

hence, Option B is correct.

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Answer:

5√z/z

Step-by-step explanation:

i took the test(:

The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is  [tex]\frac{5\sqrt{z} }{z}[/tex].

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Given

[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]

Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]

Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]

Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :

= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]

Simply the radical expression, we get:

= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]

Reduce fraction to the lowest term by canceling the greater common factor, we get

= [tex]\frac{5}{\sqrt{z} }[/tex]

Rationalize the denominator

= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]

= [tex]\frac{5\sqrt{z} }{z}[/tex]

Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is  [tex]\frac{5\sqrt{z} }{z}[/tex].

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Answer:

the answer might be 71.9

Step-by-step explanation:

add 12.8 and 5.3 =18.1 then

90-18.1=71 9

Answer:64

Step-by-step explanation:

34+30=64

Sandra will be 64 years old when she would lose the life insurance policy.

Addition, in maths, is a process of combining two or more numbers.

Given that, Sandra is 34 and opened a 30-year term policy,

According to question,

30 + 34 = 64

Hence, Sandra will be 64 years old when she would lose the life insurance policy.

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Answer:

first and second

Step-by-step explanation:

asymptote of 1/x is y= 0 and x=0 (buut x=0 isn't on here)

asymptote of 5/x-1 is the same as 1/x-1, so y = -1 and x= 0

you can graph it on desmos

Answer:

2 tablespoons of salt

Step-by-step explanation:

If 3 teaspoons are equal to 1 tablepoon, we can divide the 6 tablespoons by 3 to get our answer of 2 tablespoons.

(sorry if this is confusing but I hope it helped)

Hey there!

The formula is:

• m = rise / run

• m = y₂ – y₁ / x₂ – x₁

• y₂ = –6

• y₁ = 0

• x₂ = 0

• x₁ = 6

• Equation: “–6 – 0 / 0 – 6”

–6 – 0 = –6 ⬅️ numerator (TOP number)

0 – 6 = –6 ⬅️ denominator (BOTTOM number)

Equation: –6 / –6

SOLVE above and you will have your ANSWER.

–6 / –6 = 1 because double negatives makes a negative.

The slope of line that passes through your given points is: 1

Answer: 1 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

a 31

b 1

c she could eat it herself

I hope it helps!!!

Step-by-step explanation:

Answer:

a)  no.of chocolates each person recieved = 900/29

                                                                       = 31.03  

for second question, we have to round it to get 31 coz we want a perfect number there

b)remaining chocolates =  (31 x 29) - 900  

                                        = 899-900 = 1

c) Only one candy is left with her, so I would insist she to have that chocolate

Hope it helped u,

mark as the brainliest Celina

^v^

Answer:

y^6

hope it helps you

Step-by-step explanation:

brainliest plus

Answer:

12

Step-by-step explanation:

5^2+12^2=13^2. It is a right triangle

[tex]\huge\bold\purple{2/3:}[/tex]

B.

explanation:

whhdhdhdhehehgaahakkabdvdvhabs

Answer:

Point W, it is going left 0.5 units which is -0.5 and then he is going down 1.25 units which is -1.25 UNits. So your answer is Point W,  I hope that this helped you!

Step-by-step explanation:

Answer:

Point W

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Answer:

A

Step-by-step explanation:

If g is equal to 8, then we can rewrite the fraction as 8/2+3. We can simplify this to 8/5. That means A is correct.

Answer:

9y+2

Step-by-step explanation:

You divide everything by 3

27y/3= 9y

6/3=2

Then add

9y+2

Hope this is helpful!

Answer:

9y + 2

Step-by-step explanation:

cuz 1/3(27) = 9y

and 1/3(6) = 2

add them and equals 9y + 2

Answer:

48 books

Step-by-step explanation:

32-8 = 24

24= 1/2 of total

24x2=48

Answer=48 books

Check:

48/2=24

24+8=32

YAY!!

Answer:

48 comic books

Step-by-step explanation:

Let's use x as the amount that he originally had.

If he sold half of them, that would be:

(1/2)x

Then he bought 8 more, so you would add 8 to that total.

(1/2)x + 8

If he now has 32 then we need to set that equation to equal 32.

(1/2)x + 8 = 32

Subtract 8 from each side.

(1/2)x = 24

Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.

So,

x = 48

Check work

(1/2)x + 8 = 32

(1/2)(48) + 8 = 32

Half of 48 is 24.

24 + 8 = 32.

32 = 32.

Answer:

A= 6/x=9/$7.74

Step-by-step explanation:

Khan Academy

Answer:

3 3/5 feet per seconds

Step-by-step explanation:

If a frog jumps 9 3/5 feet in the span of 2 2/3 second, we want to calculate the number of feet it can jump in one seconds.

Since it jumps 9 3/5 feet in the span of 2 2/3 second, we can express this as:

9 3/5 feet  = 2 seconds ... 1

The number of feet per seconds will be expressed as:

x = 1secs.... 2

Divide equation 1 by 2 as shown:

9 3/5 ÷ x = 2 2/3 ÷ 1

48/5x = 8/3

Cross multiply

5x * 8 = 48 * 3

40x = 144

10x = 36

5x = 18

x = 18/5

Express as a mixed fraction:

18/5 = 3 3/5ft/secs

Hence the frog is moving at 3 3/5 feet per seconds

Answer:

4x+3

How: -2x - (-6x) = 4

3 cannot be added there you go

Answer:A

Step-by-step explanation: U need to show us the box next time though.Luckly i had the same test.

Answer:

the answer is B had the same test

Step-by-step explanation:

If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.

So j=17