67 people are running a race. How many different ways can there be a 1st, 2nd, and 3rd place winner?

The 34th term of the sequence is 172

This is a type of sequence which have a common difference (d) between each term

From the question given above, the following data were:

T₃₄ = a + 33d

T₃₄ = 7 + (33×5)

T₃₄ = 7 + 165

T₃₄ = 172

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The 34th term of the sequence is 172

Given the sequence 7, 12, 17...

The nth term of the sequence is expressed as;

Given the following

a = 7

d = 12 - 7 = 5

n = 34

Substitute the given parameters

T34 = 7 + (34 - 1)*5

T34 = 7 + (33)*5

T34 = 172

Hence the 34th term of the sequence is 172

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Answer:

y = a 2 d x + k y=a2^{dx}+k y=a2dx+k

Step-by-step explanation:

Determine the exponential function in the form y = a 2 d x + k y=a2^{dx}+k y=a2dx+k of the given graph. To solve this problem, we're going to need to find the variables "a", "d", and "k". Remember, we can find "k" from the graph, as it is the horizontal asymptote.

Answer:

r = 3 in.

Step-by-step explanation:

vol = Bh   where B is the area of the base and h is the height of the cylinder

The base is a circle so

B = [tex]\pi r^{2}[/tex]    h = 5

141.3 = 3.14(5)[tex]r^{2}[/tex]

        = 15.7[tex]r^{2}[/tex]

[tex]r^{2}[/tex] = 141.3/15.7 = 9

r = 3 in.

Answer: £80

Step-by-step explanation:

First, we need to calculate the number of gallons used by Sally. This will be:

= 560 / 34.5

= 16.23 gallons

Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:

= 16.23 × 4.55

= 73.85 liters

Since Petrol cost £1.08 per litre, the cost of the petrol will be:

= £1.08 × 73.85

= ££79.758

= £80 approximately

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

Answer:

36

Step-by-step explanation:

9x4=36

Answer:

86ft²

Step-by-step explanation:

3x2/2=3

3x2/6=3

10x2.5=25

10x2.5=25

3x10=30

30+25+25+3+3=86

Answer:jj

Step-by-step explanation:

iuin

Answer:

[tex]N_t=6.455\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Total String [tex]N=71/2[/tex]

Strip size [tex]N_s=11/2[/tex]

Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by

[tex]N_t=\frac{N}{N_s}[/tex]

Therefore the  strips of string can she cut with 7 1/2 yards is Given as

[tex]N_t=\frac{71/2}{11/2}[/tex]

[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]

[tex]N_t=\frac{71}{11}[/tex]

[tex]N_t=6.455\ yards[/tex]

Answer:

y = (2/3)x + 3

Step-by-step explanation:

Notice that if we start at any x value shown in the table and increase x by 3, y will increase by 2.  Thus, the slope of the line is 2/3.  

From the entry (0, 3), we know that the y-intercept is b = 3.

Thus, y = mx + b becomes:

y = (2/3)x + 3

Answer:24

Step-by-step explanation:

LxWxH = 4x2x3

4x2 = 8

8 x 3 = 24

Answer:

Step-by-step explanation:

6 , -4

Reason:

If you add 6 and (-4) , you will get  2   & if you multiply 6 and -4, you will get -24

Answer:

exponential

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

You can look at the values and see that they multiply by 1/4 each time. You can also plug the value into a graphing calculator.

Answer:

3 hours and 50 minutes

Step-by-step explanation:

Given that

Sarah drives for 1 hours and 40 minutes

And, rest for 25 minutes

And, then drive for another 1 hour & 45 minutes

We need to find out the total travel time in hours and minutes

First we convert into minutes i.e.

= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes

= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes

= 230 minutes

i.e.

3 hours and 50 minutes

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Answer:

4410

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Answer:

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

Answer:

m<ABC=22.5°

hope it helps

Answer:

217

Step-by-step explanation:

1/2 * 12 * 7 = 42 this is one side of the pyramid

4x for all sides = 168

add the bottom which is just a square 7*7 = 49

168 + 49 = 217

Answer:

1.  10√3

2. -√5

3. 21√3 -9√5

4. 12√7-√11

5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5

6. √5*√4 -√5= 2√5-√5= √5

7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5

8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6

Hope it helps you :)

Answer:

3,000

Step-by-step explanation:

62x53 = 3,286 rounded nearest thousand = 3,000

I didn't exactly get your answer dude, sorry if wrong. I forgot how to round degrees.

Answer:

$13.2

$113.20

Step-by-step explanation:

Simple interest for the fourth year = 13.20 ( 3.30 - 4)

New amount in the bank acount for 4th year = 100+ (3.30 x4) = 113.20

Hope this helps

Answer:

x = 14

Step-by-step explanation:

two negatives become a positive so the equation is now

x + 3 = 17

subtract 3 from both sides, giving you 14

Answer:

See below

Step-by-step explanation:

The answer is attached

Answer:

False

Kilometer

Step-by-step explanation:

First Question:

1 km = 1000 m

2 km = 2 * 1 km = 2 * 1000 m = 2000 m

Centennial Park is 2 km = 2,000 m away.

Canatara Park is 2,548 meters away.

Since 2,548 > 2,000, Canatara Park is farther away than Centennial Park.

Answer: False

Second Question:

A distance from a home to a store is usually measured in kilometers.

Answer: it’s false

Step-by-step explanation:

Answer:

N<-7 or (-∞,-7) hope this helps