the nth term of a sequence is 4n-3. finf the number in the sequence that is closest to 150

Answers

Answer 1

Answer:

149

Step-by-step explanation:

nth term = 4n - 3 ..............(1)

Now,

For The tern closer to 150

150 = 4n - 3

or, 153 = 4n

or, n = 38.25

Now,

Since n can not be in decimal,

Put n = 38 in (1)      (Rounding off 38.25 to 38)

or, nth term = 38*4 -3

                    = 152 - 3 = 149

∴ The number of sequence closer to 150 is 149


Related Questions

A rectangle measures 2
1
2
meters by 1
3
4
meters. What is its area?

Answers

Answer:

28408

Step-by-step explanation:

212x134=28408

X - 13 < -11 Does anyone know this

Answers

Answer:

x < 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

x - 13 < -11

Step 2: Solve for x

[Addition Property of Equality] Add 13 to both sides:                                    x < 2

Here we see that any value x smaller than 2 would work as a solution.

A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
Group of answer choices

Answers

Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9 units. Find the length and width of the box.

Answers

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

A jar has 1 white marble and 2 red marbles in it. If Jerry picks out 2 marbles without looking inside, what is the probability that he will pick two of the same color?

A. 1/3
B. 1/2
C. 2/3
D. 3/2

Answers

Answer:

C) 2/3

Step-by-step explanation:

The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.

Hope this helped :)

Answer:

A.   1/3

Step-by-step explanation:

Chance of red on one marble

2/3

Chance of red on second marble

1/2

Chance both red

2/3 * 1/2 = 1/3

CAN SOMEONE ANSWER THIS?

Answers

tan ( 37 ) = x / 12

x = 12 * tan( 37 )

(ᗒᗣᗕ)՞“
Plz help me!!...

Answers

Answer: 200

Step-by-step explanation:

You see that from Monday to Tuesday they traveled 150 miles. By Wednesday it goes up 25. 150+25 = 175. By Thursday it goes up 25 more miles. 175+25=200.

This line is parallel to the line 2x + 6y = 12.

Answers

Answer:

y = 1/3x + 4 1/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]6y = - 2x + 12 \\ 3y = - x + 6 \\ y = - \frac{1}{3} x + 2[/tex]

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!

Answers

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

What is the area of the rectangle?

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

~Help please and ty~ ✨Brainilist✨

Answers

Answer:

-37

Step-by-step explanation:

-37/100 is rational.

Answer:

-37/100

Step-by-step explanation:

Numerical Response
15b - 6 - 3b + 10
This polynomial simplifies to the form
nb + m
then n + m=?

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]

12b + 4 is in the form nb + m, where,

n = 12m = 4

So,

[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]

16 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent

Answers

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.

will give more points if correct

Answers

The answer to that would be 0, 1, -1, and 6.
Have a good day:)

Answer:

REVENGE

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
20, 15, 10

Answers

Answer:

a. T² - T¹ = d ( A. P) -5

b. T²/T¹ = r (G. P) 3/4

Step-by-step explanation:

a. 15 - 20 = -5

b. 15/20 = 3/4

Answer:

This is an arithmetic sequence and the common difference is equal to -5.

A mixed number has a whole number part and a fractional part.
O A. True
O B. False​

Answers

Answer: True

Step-by-step explanation:

The statement that a mixed number has a whole number part and a fractional part is true.

The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.

Evaluate 3x + y if x = 1.5 and y = 1/2

Answers

Step-by-step explanation:

3x + y

3(1.5)+0.5

=5

!!!!!!!!!!

Answer:

5

Step-by-step explanation:

3x + y = ?

3 (1.5) + 1/2 = ?

4.5                         First let's convert 4.5 into a fraction

4.5 = [tex]\frac{9}{2}[/tex]                    Then convert it has a mixed number

[tex]4\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 5

What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3

Answers

Answer:

D. 264π units³

Step-by-step explanation:

1/3(πr²h)

1/3(π•6²•22)

1/3(π•36•22)

1/3(π•792)

264π

A skateboard ramp rises 2 feet for every 7 feet measured horizontally. What is the slope​?

Answers

Hopes this helps:

Answer: 2/7

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

Part A = A

Part B - 308

308 cubic feet


Hope you have a wonderful day

help? (i mark brainlist if available)

Answers

Answer:

X < 120

Step-by-step explanation:

.....................

Answer:

option D

Step-by-step explanation:

X should be less than or equal to $120.00

In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:

Answers

Answer:

(4.5, 0.3125)

Step-by-step explanation:

given that

The mean is 4.5 inches

the standard deviation is 1.25 inches

and, the sample of 16 rabbits is selected

we need to find out the approximate distribution

so,

= (4.5, 1.25 ÷√16)

= (4.5, 0.3125)

hence, the same is to be considered

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Answers

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)

when Aaron walks 8 miles

additional miles = 8 - 1 = 7

23 = 2 + 7x

23 - 2 = 7x

x = 3

additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

WILL GIVE U BRAINLIEST
True or False: All obtuse triangles are scalene?

Answers

Answer:

False

Step-by-step explanation:

an obtuse triangle maybe isosceles or scalene

The average domestic economy car gets around 30.9 miles per gallon (MPG) with a standard deviation of 2.88. Suppose domestic manufacturers all vow to increase fuel economy over the next 2 years. If successesful, 2.9 is added to every observation in the dataset. What is the new mean

Answers

Answer:

33.8

Step-by-step explanation:

Given that :

Initial Average miles per gallon = 30.9

Uniform value added to each data in the set = 2.9

The mean value of a dataset shifts by the uniform value added to each value in the dataset. This is always true whenever a uniform value is added to values across a dataset irrespective of the number of samples.

Hence

Initial mean. + uniform Value

30.9 + 2.9 = 33.8

) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]

Answers

Answer:

The rate of decreasing of the length is 0.25 cm/s.

Step-by-step explanation:

The surface area of the ice cube is:

[tex]A_{ice}=6x^{2}[/tex]

Where x is the side of the cube.

Let's take the derivative of A with respect to "t" to get the rate of change.

[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]

We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.

[tex]6=12(2)\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]

Therefore, the rate of decreasing of the length is 0.25 cm/s.

I hope it helps you!

Need help fast please thanks

Answers

Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula [tex]a^2+b^2=c^2[/tex]. We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

[tex]9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41[/tex]

This is the first option.

Last Question Plz Help

Answers

Answer:

this is good looking nice photo but li can't give you answer of that sorry.

Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities

Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time

Answers

Answer:

40%

Step-by-step explanation:

Find the quotient of these complex numbers (6-I) divided by (4+3i)=

Answers

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

An observer in a blimp sights a football stadium at a certain angle of depression. If the blimp is at an altitude of 1600 ft and the horizontal distance between the blimp and stadium is 2372 ft. Determine the angle of depression from the blimp to the stadium to the nearest degree.

Answers

Answer:

http://maggieevans.weebly.com/uploads/8/3/6/6/8366984/unit_2_test_review_answers.pdf

Step-by-step explanation:

The link is there it might have some other answers scroll down on the page link. No this is not a scam i promise <3

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