if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

Answers

Answer 1

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

[tex]T_n =n^2 -3[/tex]

Required

The first three terms and the tenth

So, we have:

First term: n =1

[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]

Second term: n = 2

[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]

Third term: n = 3

[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]

Tenth term: n = 10

[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]


Related Questions

I need help with slopes!!

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Answer:

The slope of this line is -4

Could I get some help with this question? Thanks

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Answer:

I am unable to see the picture if you type it i can possibly help

Step-by-step explanation:

How can I Write X^2 + 18 + 81 In factored form?

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

I need help please asap......................

Answers

Answer:

hi

Step-by-step explanation:

Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.

If someone could answer fr this time that would be great.

Answers

Answer:

24

Step-by-step explanation:

I use the Pythagoras theorem.

[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]

[tex]4^{2}{x}6^{2} = c^{2}[/tex]

16 x 36= 576

[tex]\sqrt{576} = 24[/tex]

A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?

Answers

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

Payne saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. How many years did he save his money?

Answers

the answer if 7 years, if you multiply 2,000 by .02 it equals 40. so you divide 280 by 40 and get 7

HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!

Answers

Answer:

Reason 2)The transitive property of congruence

Step-by-step explanation:

There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.

  A = A . . . . reflexive property

  A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)

  A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)

__

Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.

The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.

Which statement is true help

Answers

Answer:

The correct one is 6 is 3 times as many as two.

Step-by-step explanation:

evaluate the intergral2x(xsquared+3)exponent 4​

Answers

Answer:

(x^2+3)^5/5 + C

Step-by-step explanation:

Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du

Then: integral (u^4) du

Apply power rule: u^5/5

Then replace the substitution u=x^2+3 in u

= (x^2+3)^5/5 + C

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)

Answers

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

What is the volume? 3 m 1 m cubic meters​

Answers

Answer:

9 cubic meters

Step-by-step explanation:

V = lwh

V = 1 by 3 by 3

Answer:

9 cubic meters

Step-by-step explanation:

1x3x3=9

Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?

Answers

Answer:

Hannah = 34 and 1/2

Devonte = 41 and 1/2

Step-by-step explanation:

Hanna = x

Devonte = x+7

x+x+7=83-7

2x+7=76

2x=76-7

2x=69

x=34.5

Hannah = x = 34.5

Devonte = x+7 = 41.5

What is the better deal? 6 for $6.99 or 24 for $13.99

Answers

6.99/6 =1.16
13.99/24=.58
Therefore better to buy more as the unit price per item is cheaper

Answer:

24 for $13.99

Step-by-step explanation:

Find the cost of 1 for both deals.

6 for $6.99. Divide 6.99 with 6:

6.99/6 = 1.165

~$1.17 for one.

24 for $13.99. Divide 13.99 with 24:

13.99/24 = ~0.582

~$0.58 for one.

24 for $13.99 is the better deal, by ~59¢.

I don’t know how to do this at all

Answers

9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

The 25th term of a sequence is 121. The 80th term is 506. What is the first term

Answers

Answer:

-47

Step-by-step explanation:

that's the correct answer

Helpp!!! I’ll mark as brainlistt

Answers

Your answer is 78.5!

If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).

Answers

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1

An object travels along a horizontal straight path at a constant rate. The object travels 1/2 of the
length of the path in 3/4 second. At that rate, how many seconds does it take the object to travel the
entire length of the path?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

Given that,

The object travels 1/2 of the  length of the path in 3/4 second.

We need to find the time it takes the object to travel the entire length of the path.

1/2 of length = 3/4 seconds

Entire length,

[tex]=\dfrac{3}{4}\times 2\\\\=1.5\ s[/tex]

So, it will take 1.5 seconds to cover the entire length of the path.

PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?

Answers

15 ppl would fit

Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people

Please answer soon
(2x+5)37 what is x

Answers

Answer:

74 x + 185

Step-by-step explanation:

Step-by-step explanation:

(2x+5)+37 - multiply 37 by 2x and then 37 by 5

which gives you a answer of 74x+185

Evaluate the expression \dfrac{4^x}{2^x}
2
x

4
x


start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.

Answers

Answer:

4

Step-by-step explanation:

(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 4ˣ/2ˣ.

start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.

In the given expression x is the variable and division is the operator.

Which means Four to the power of x and divided by two to the power of x.

4ˣ/2ˣ.

The numerator 4ˣ can be written as (2)²ˣ

(2)²ˣ/2ˣ

Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

PLEASE HELP QUICK I NEED IT TO PASS

Answers

816.81
Hope this helps

PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!

Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.

Answers

9514 1404 393

Answer:

  x^2 +(y -61)^2 = 625/36

Step-by-step explanation:

The graph of the above equation is attached.

If the circumference of the wheel is 25π/3 feet, the diameter is ...

  d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet

The radius will be half that value, or 25/6 feet.

For a center point (h, k) and radius r, the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.

This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...

  x^2 +(y -61)^2 = 625/36

State of the given functions are inverses

Answers

Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]

[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]    

[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]

As f[g(x)] is not equal to x, these functions are not inverses.

2)

Let's find f[g(x)] and simplify.

[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]

[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]

[tex]f[g(n)]=\frac{4n}{4}[/tex]

[tex]f[g(n)]=n[/tex]

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]

[tex]g[f(x)]=-16+n+16[/tex]

[tex]g[f(x)]=n[/tex]

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!  

4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6​

Answers

the answer is the second option, 5 1/5

Pls help solve these three

Answers

Answer:

1. True

2. False

3. False

Step-by-step explanation:

It’s,yes(true),and,no(false),no(false)

Help Please‼️ Thank you

A company has a total of 209 employees in the marketing and sales offices. For every 5 people employed in sales, there are 14 employed in marketing.

How many people in the office work in marketing?

How many people in the office work in sales?

Answers

Answer:

154 people work in marketing.

55 people work in sales.

Step-by-step explanation:

For every 5 people employed in sales, there are 14 employed in marketing.

This means that:

5/(5+14) = 5/19 of people work in sales.

14/(5+14) = 14/19 of people work in marketing.

Total of 209 people:

14*209/19 = 154

154 people work in marketing.

5*209/19 = 55

55 people work in sales.

For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200​

Answers

Answer:

C) 125

Step-by-step explanation:

If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.

The best estimate is choice C) 125