Find x
21/2
56/3
54/7
12

Answer:

(a) [tex]U_1 =5[/tex]; [tex]U_2 = 8[/tex]; [tex]U_{18} = 328[/tex]

(b) [tex]U_1 = 11[/tex]; [tex]U_2 =17[/tex]; [tex]U_{18} = 113[/tex]

Step-by-step explanation:

Required

1st, 2nd and 18th terms

To do this, we simply substitute 1, 2 or 18 for n in the given equations

Solving (a):

[tex]U_n =n^2 + 4[/tex]

1st term: n = 1

[tex]U_1 =1^2 + 4[/tex]

[tex]U_1 =1 + 4[/tex]

[tex]U_1 =5[/tex]

2nd term: n = 2

[tex]U_2 = 2^2 + 4[/tex]

[tex]U_2 = 4 + 4[/tex]

[tex]U_2 = 8[/tex]

18th term: n = 18

[tex]U_{18} = 18^2 + 4[/tex]

[tex]U_{18} = 324 + 4[/tex]

[tex]U_{18} = 328[/tex]

Solving (b):

[tex]U_n = 6n + 5[/tex]

1st term: n = 1

[tex]U_1 = 6*1 + 5[/tex]

[tex]U_1 = 6 + 5[/tex]

[tex]U_1 = 11[/tex]

2nd term: n = 2

[tex]U_2 = 6*2 + 5[/tex]

[tex]U_2 =12 + 5[/tex]

[tex]U_2 =17[/tex]

18th term: n = 18

[tex]U_{18} = 6*18 + 5[/tex]

[tex]U_{18} = 108 + 5[/tex]

[tex]U_{18} = 113[/tex]

Answer:

B. 75.36 cubic cm

Step-by-step explanation:

We will use the formula V=π times r² times h

so, V= 3.14 times 2² times 6

so, V= 3.14 times 4 times 6

= 3.14 times 24

=75.36 cubic cm

Answer:

22

Step-by-step explanation:

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

So...

0=31 divided by 22

0

22 remainder

0=22

22 is the arc's central angle.

:D

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

Answer:

answer is A ok my friend bye

Answer:

12 cups

Step-by-step explanation:

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

Answer:

7.8. 10 ^ 3 m / s

Step-by-step explanation:

The computation of the average speed in m/s is shown below:

The average speed equation is

= ΔS ÷ Δt;

As We know that

an entire revolution would be40,000 km

and a satellite takes 85 minutes to complete a revolution,  

So,

ΔS = 40,000 km = 40,000,000 m

Δt = 85 min = 5 100 s

Now the average speed is

= 40 000 000 ÷ 5 ÷ 5 100

 = 7843.14 m / s

= 7.8. 10 ^ 3 m / s

Answer: 23 2/3 points

Step-by-step explanation:

First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.

We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.

I would like to be paid, then xD

Answer:

KL= 14

Step-by-step explanation:

4*2=8

5*2=10

7*2=14

Answer:

B) 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

63076.27

Step-by-step explanation:

Answer:

1 --> 26

5 --> 130

11 --> 286

24 --> 624

40 --> 1040

Step-by-step explanation:

to find unit rate divide 78 by 3 and you get 26 gallons, which means you can drive 26 miles with one gallon.

To find the amount of gallon for a certian number of miles, simply divide the number of miles by 26. Ex. 130/26 = 5 gallons

Answer:

Step-by-step explanation:

Answer:

41 1/5

Step-by-step explanation:

2 3/5 x 7 = 18 1/5

5 3/4 x 4 = 23

18 1/5 + 23 = 41 1/5

Answer: (5/9)(v – 1)

Hope this helps!

Answer:

replace m with 2 and do 7(2)+9

Answer:

Step-by-step explanation:

Answer: Pretty sure its A.  

Step-by-step explanation:

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

Answer:

a and b

Step-by-step explanation:

Answer:

A = (5x - 1) (x^2 + 4)

Step-by-step explanation:

Area = length × width

= (5x - 1) (x^2 + 4)

Answer:

a = (v - u)/t.

Step-by-step explanation:

v = u + at

v - u = at

(v - u)/t = a.

Answer:

Liability insurance

Step-by-step explanation:

Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.

Answer:

FV= 200*(1.07^n)

Step-by-step explanation:

Current population= 200 deer

Growth rate= 7% per year

To calculate the future value of deer in any given years, we need to use the following formula:

FV= PV*(1+g)^n

FV= future value

PV= present value

g= growth rate

n= number of years

FV= 200*(1.07^n)

For example, the population in 5 years:

FV= 200*(1.07^5)

FV= 281

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

The option that describes the solutions of the equation is A. Since 7 and 11 are both rational, the sum and difference are rational.

An equation simply means a statement that the values of two mathematical expressions are equal.

In this case, the solutions of the equation is that since 7 and 11 are both rational, the sum and difference are rational.

Learn more about equations on:

https://brainly.com/question/297232

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

Answer:

461.97 in³

Step-by-step explanation:

Given the following measurement for the dimension of a box : 13 1/7 inches long, 7 2/5 inches wide, and 4 3/4 inches tall.

The volume of a box is calculated using the relation :

Volume = Length * width * height

Volume = 13 1/7 * 7 2/5 * 4 3/4

Volume = 92/7 * 37/5 * 19/4

Volume = (92*37*19) / (7*5*4)

Volume = 64676 / 140

Volume = 461.97 in³

Answer:

A Square plus B square equals

Step-by-step explanation:

T