Here are the first five terms of a sequence.

3 8 17 30

47

Find an expression, in terms of n, for the nth term of this sequence.

Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

-1 = 8 - 9

-1 = -1

Answer:

B

Step-by-step explanation:

The possible number of solutions is 2.

Two or more expressions with an Equal sign is called as Equation.

The given equations are x² + y²=9 and 9x+2y=16

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as x² + y²=3²

It is the standard form of a circle , where (h,k) is center and r is radius.

(x-h)² +(y-k)² =r² where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is 9x+2y=16

It is a linear equation.

Table of values.

x    y

0    8

1     3.5

2    -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Hence, the possible number of solutions is 2.

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Answer:

71.4285%

Step-by-step explanation:

Use Siri or a calculator

Answer:

28

Step-by-step explanation:

The temperature was increased by 28.

Answer:

are u single?  boy or girl?

Step-by-step explanation:

Answer:

155

Step-by-step explanation:

The measure of <1 is 25.

The fundamental characteristics listed below make it simple to recognize parallel lines.

Given:

The streets represented by lines V and W are parallel.

We need to determine the measure of ∠1.

As, Corresponding angles are those in the matching corners formed when a transversal line crosses two parallel lines.

Additionally, the size of the corresponding angles is consistently the same.

So, From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.

Thus, the measure of ∠1 is 155°

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Answer:

Step-by-step explanation:

Notice that the total distance form the top of the pyramid to the bottom of the chamber is the sum of both distances.

The pyramid is 139 meters tall, and the subterranean chamber is 30 meters below the groung, the sum iis

[tex]d=139m+30m=169m[/tex]

Therefore, the distance from the top to the subterranean chamber is 169 meters.

Answer:

the correct simplification of the expression is 7 - 2(4x-11)

Step-by-step explanation:

remember, the sign must correspond when taking out a common factor

thus, 16m - 4 = 4(4m - 1)

and also, 16m - 4 = -4(1 - 4m)

Answer:

486

Step-by-step explanation:

9(9) added 6 times

i struggle to explain it but i think it is 486cm squared

Answer:

50

Step-by-step explanation:

because i just got it right from khan

Answer:

AC = 12.5 cm

Step-by-step explanation:

use cosine law c^2 = a^2 + b^2 − 2ab cos(C)

c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)

c^2 = 156.84

c= √156.84

c= 12.5 cm

The cosine rule is used when we are given either three sides or two sides and the included angle.

Answer:

11.66 which is approximately 12

Step-by-step explanation:

by using Pythagoras method

[tex]a^{2}+b^{2}=c^{2} because c is the hypotenuse[/tex]  

[tex]6^{2}+10^{2}=c^{2}[/tex]

[tex]36+100=c^{2}[/tex]

[tex]136=c^{2}[/tex]

[tex]\sqrt{136}=\sqrt{c}[/tex]

[tex]c=11.66[/tex]

Answer:

1815 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter =22

so the radius is d/2  = 22/2 =11

V = pi (11)^2 (15)

V = pi1815

V = 1815 pi cm^3

Answer:

n + 1

Step-by-step explanation:

Consider the division in fractional form, that is

[tex]\frac{3n+3}{3}[/tex] ← factor out 3 from each term on the numerator

= [tex]\frac{3(n+1)}{3}[/tex] ← cancel common factor 3 on numerator/ denominator, leaving

= n + 1

Answer:

C

Step-by-step explanation:

Since events A and B occur independently, it means that if A occurs, B May or May Not occur, vice versa. (basically, event A and B can occur on its own or together which are not dependent on the other event)

For probability of A and B to occur, and that probability of A / Probability of B occurring are not dependent on each other at any circumstance, u need to multiply the P(A) and P(B) to find out the chances of A and B occurring.

Answer:

6

Step-by-step explanation:

First we must get the equation in slope intercept form

y=mx+b

where m is the slope and b is the y intercept

3x+4y=24

To get this equation in slope intercept form, we have to get y by itself.

First, subtract 3x from both sides

3x-3x+4y=24-3x

4y= -3x+24

Now, divide both sides by 4

4y/4=-3x/4+24/4

y=-3/4x+6

So the y intercept is 6

The y-intercept of the graph of the equation 3x + 4y = 24 is y = 6.

Given the equation of the graph in the question:

3x + 4y = 24

The y-intercept of a graph is simply the point where the graph crosses the y-axis, meaning that the x-coordinates must be zero.

To determine the y-intercept of the graph of the equation 3x + 4y = 24, replace x with 0 and solve for y:

3x + 4y = 24

Substitute x = 0 into the equation:

3(0) + 4y = 24

Simplifying, we get:

0 + 4y = 24

4y = 24

Divide both sides by 4, to isolate the y-variable:

y = 24/4

y = 6

Therefore, the graph intersects the y-axis at the point (0, 6).

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Answer:

see below

Step-by-step explanation:

-15 = 2x + 1

Subtract 1 from each side

-15-1 = 2x + 1-1

-16 = 2x

Divide each side by 2

-16/2 = 2x/2

-8 =x

Check

-15 = 2(-8) + 1

-15 = -16+1

-15 = -15

Answer:

-8

Step-by-step explanation:

subtract 2x to move it to the left side

-2x-15=1

add 15 to move it to the right side then add 1 to 15 since it would be 15 plus 1

-2x=16

divide by -2 to get x by its self

-2x=16/2x

Answer:

Step-by-step explanation:

b is the answer

The premium of the policy is $4,124.65.

Option D is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The premium of an insurance policy is calculated based on the probability of an event occurring and the amount that will be paid out if the event occurs.

To calculate the premium of the policy in this case, we can use the following formula:

Premium = (Payout + Administrative Costs) x Probability of Event

Where:

Payout = $50,000

Administrative Costs = $55

Probability of Event = 8.1393% = 0.081393 (in decimal form)

Substituting these values into the formula, we get:

Premium = ($50,000 + $55) x 0.081393

Premium = $4,124.65

Therefore,

The premium of the policy is $4,124.65.

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Answer:

8 weeks

Step-by-step explanation:

26.79/3.75 = 7.144

To get the full amount you need to round up to the next highest week.

Answer:

Every week you should save $18.05

Step-by-step explanation:

Answer:

Day five= 32 sit ups

Step-by-step explanation:

Day 1= 2 sit ups

Day 2= 4 sit ups

Day 3= 8 sit ups

Day 4= 16 sit ups

Day 5= 32 sit ups

Answer:

(-4, -1)

Explanation:

Answer:

pls may you explain I don't understand explain step by step

Answer:

I will answer when you explain what you mean by sample space.

Step-by-step explanation:

please do not delete.

Answer:

3 <_ w and w <_ 9

Step-by-step explanation:

The <_ are underlined btw

Hope this helped!

Answer:

2(3d+3)

3d+3   + 3d+3

Step-by-step explanation:

4d+6+2d

Combine like terms

6d+6

Factor out a common term 2

2(3d+3)

We can also split this into 2 pieces because of the 2

The 2 means we have 2 terms of 3d+3

3d+3   + 3d+3

Answer:

Step-by-step explanation:

i did not get it

Answer:

the Answer is  56,972.16

Step-by-step explanation: I took the test and i got it wrong when I beleved this person please this is the correct answer.

Answer:

52.68 feet per hour

52.68 feet per 60 min

632.16 inches per 60 min

10.536 inches per minute

Step-by-step explanation:

So the right answer is -3/2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

x =

Step-by-step explanation:

-5(4x + 2) = 20

First you distribute

-20x - 10 = 20

Add 10 to both sides to single out 'x'

-20x = 30

Divide by the coefficient of x

-20x/-20 = 30/-20

solve

x = -3/2

or

x = -1.5

Answer:

I guess you can say 5

Step-by-step explanation:

ya I think 5

Answer:

15 if this helped let me know by pressing the thanks button

Step-by-step explanation:

Answer:

Area of Shaded Region ≈ 141.37 cm^2

Step-by-step explanation:

Given radius of 9 cm for the outer circle;

πr^2, ⇒ Substitute value of radius,

π * ( 9 )^2 ⇒ Square 9, keeping value in terms of π,

Area of Outer Circle; 81π

Provided a radius of 6 cm for the inner circle;

πr^2, ⇒ Substitute value of radius,

π * ( 6 )^2 ⇒ Square 6, keeping value in terms of π,

Area of Inner Circle; 36π

Take the shaded region to be the value of the inner circle ( area ) subtracted from the area of the outer circle;

Area of Shaded Region ⇒

81π - 36π =

45π =

Area of Shaded Region ≈ 141.37 cm^2

Answer:

Hope this is correct