If you start with 2 and count by 3s until you reach 449, you will get the sequence: 2, 5, 8, 11, …, 449. If 449 is the Nth number, what is the value of N?

Answers

Answer 1

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150


Related Questions

PLZ ANSWER ASAP 20 POINTSTriangle ABC has AB=18, AC=24, BC=27. Point M is the midpoint of AC, and point N is on segment AB so that BN=2. What is the length of MN? PLZ ANSWER ASAP PLZ 20 POINTS

Answers

Answer:

Step-by-step explanation:

Find the HCF of 150 and 180.

Answers

Answer:

30 is ans do you know hindi

Answer:

The HCF of 150 and 180 is 30

Hope this helps

Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Decode the addition or subtraction problem (Change asterisks to digits, to make the operations correct.) 6*5* − *8*4=2856

Answers

Answer:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

Step-by-step explanation:

[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

10-4=6

Therefore the last digit of 6*5* is 0.

[(5-1)+10]-5=98+8+1=176-(1+2)=3

Therefore:

[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]

April has only consumed one glass of wine, so her body isn't affected by the alcohol because short-term effects only begin with the second drink. Please select the best answer from the choices provided. T F

Answers

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

a group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the ben diagram. determine the value in the two-way table. a=? b=?

Answers

Answer:

A=13, b= 28, c= 6 d=22 e=31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Answer:

A=13

B=28

C=6

D=22

E=31

Step-by-step explanation:

Can somebody help me with this ?? :)

Answers

Answer: D

Step-by-step explanation:

it shows each points and that they are equal

Write 18-2 square root of -9 in the form of a+bi

Answers

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

Maths Question:
The vase has a radius of 5cm,
There are 1000cm cubed of water in the vase,
Work out the depth of the water in the vase.
Give your answer to 1 decimal place.

Answers

Answer:

The depth is 12.7 cm

Step-by-step explanation:

Let the shape of the vase be a cylindrical shape

the volume of the cylinder is given as

let the depth be h

[tex]v= \pi r^2h[/tex]

Given

radius r= 5 cm

volume v= 1000 cm

height h= ?

Substituting the values we can find the depth(h)

[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]

Dividing both sides by 78.55 we have

[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]

to 1 dp h= 12.7 cm

PLEASE HELP me ! I NEED HELP

Answers

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114

I WILL MARK YOU BRAINLIEST!!!!

Answers

I’m pretty sure it’s option D

Reflect shape A in the line x=-1

Answers

Coordinates for the shape:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)

Answer in in Image.

Reflection of shape:

Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.

Here, After reflection, the reflected shape coordinates are:

(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).

Learn more about reflection of diagrams here:

https://brainly.com/question/12757305?referrer=searchResults

#SPJ2

Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds

Answers

Answer:

1.75 pounds

Step-by-step explanation:

28 divided by 16 = 1.75!

Hope it helps!

Answer:

1.75 pounds or 1 3/4 pounds

Step-by-step explanation:

28/16 = 1.75

Factor completely 9x2 + 42x + 49

Answers

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2

Please help me!!!!!!!!! thanks!

Answers

Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Line WZ and Line XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?

Answer choice:
A) 355
B) 5
C) 292
D) 243

Answers

The answer is 355 because it is

Answer:

d 243

Step-by-step explanation:

finished the test ^^

find the vertex of this function and decide if it is a maximum or a minimum point.

Answers

Answer: maximum point at (-3, 2)

Step-by-step explanation:

The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.

7/5 x -3/12 + 7/6 + 7/5 x 1/4

Answers

Answer:

7/6 or 1.166666667

Step-by-step explanation:

I solved it on calculator

To 1 d.p 1.2

Answer:

7/6

Step-by-step explanation:

7/5 × -3/12 + 7/6 + 7/5 × 1/4

Multiply first.

-21/60 + 7/6 + 7/20

Find the common LCM of the fractions.

-21/60 + 70/60 + 21/60

Add the fractions.

(-21+70+21)/60

-21 and 21 cancels.

70/60

Simplify.

7/6

Given that 5 x − 3 y = 32 Find y when x = 4

Answers

Answer:

y=-4

Solution,

X=4

Now,

[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 16/3 or 5.333333...

Step-by-step explanation:

5x - 3y = 4

→ Substitute the value of x = 4 into the expression

(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4

20 - 3y = 4

→ Minus 20 from both sides to isolate -3y

-3y = -16

→ Divide both sides by 3 to isolate y

y = 16/3 or 5.333333...

BC = -2x+85 BD = 5x-48 What is the length of BC?

Answers

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

the answer i got was 47

Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below. Step 1: Negative two-thirds time (5 + one-sixth) Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth) Step 3: 4 and one-third times negative one-half Step 4: Negative 2 and one-sixth Which describes Calvin’s error? In step 1, he incorrectly broke up 5 and one-sixth. In step 2, he distributed the Negative two-thirds instead of the 5. In step 2, he confused the multiplication and addition signs. In step 3, he computed the addition and multiplication incorrectly.

Answers

Answer:

In step 2, he confused the multiplication and addition signs

Step-by-step explanation:

Answer:

In step 2, he confused the multiplication and addition signs.

Step-by-step explanation:

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6? −7 −3 4 6

Answers

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

2x-6+17=9

Explain the answer and why plz

Answers

Answer: x = -1

Step-by-step explanation:

2x - 6 + 17 = 9

Subtract 17 from both sides

2x - 6 = -8

Add 6 to both sides

2x = -2

Divide by 2 on each side

x = -1

Find the area of the circle.
Use 3.14 for pi

Answers

Answer:

A =153.86 cm^2

Step-by-step explanation:

The diameter is 14 so the radius is d/2 = 14/2 = 7

A = pi r^2

A = (3.14) (7)^2

A =153.86 cm^2

Answer:

Step-by-step explanation:

First you take the diameter and cut it in half to find the radius. 14/2 = 7

Next you times the radius to the power of 2. 7^2= 49

Then you times your answer by 3.14. 49*3.14 = 153.86

153.86cm² is your answer

[35 Points!] Answer this for me! ill give you brainly! xo :)

Answers

Answer:

sqrt(2) sqrt(5) sqrt(2) sqrt(5)

Step-by-step explanation:

sqrt(2) sqrt(5) sqrt(2) sqrt(5)

We know sqrt(a) sqrt(b) = sqrt(ab)

sqrt(2*2) sqrt(5*5)

sqrt(4) sqrt(25)

2 * 5

10

This is a rational number

Answer:

[tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] · [tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex]

Step-by-step explanation:

In mathematics, a rational number is a number that can be written as a fraction. Clear and sensible numbers are all real numbers and can be positive or negative. A number that is not clear and sensible is called weird (because of wrong thinking). Most of the numbers that people use in everyday life are clear and sensible. These include fractions and integers.

[tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] · [tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] is a rational number!

Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 6 days, the
population stops growing and a virus cuts it in half every day for 4
days.
Organism B's population grows at the same rate but is not infected
with the virus. After 10 days, how much larger is organism B's
population than organism A's population?

Answers

Answer:

At the end of ten days, the size of population B is 256 times that of population A

Step-by-step explanation:

We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]

Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:

[tex]N_A=N_0\,(2)^t[/tex]

which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.

So at the end of 6 days, population A would have the following number of individuals:

[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]

That is 64 times the starting number of individuals.

After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]

therefore after 4 days in this pattern, this culture has the following number of organisms:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]

which is now just four times what the culture started with.

Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:

[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]

that is it has 1024 times the initial number of organisms.

So if we compare both populations at day 10:

[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]

Therefore, at the end of ten days, population B is 256 times the size of population A

Answer:

After 10 days, population B has grown to be 256 times the size of population A.

Step-by-step explanation:

(07.06 MC) What is the solution to the equation 1.2m − 0.8 = −2.0m? m = 0.25 m = 0.4 m = 1 m = 4

Answers

Answer:

m = 0.25

Step-by-step explanation:

-0.8 = -3.2m

m = 0.25

Answer:

0.25 :)

Step-by-step explanation:

David and Eric went out to dinner. Their total bill was $45. They added 20% gratuity to the bill. If they split the bill in half, how much did each person spend?


1) Write an equation/expression for the word problem.


2) How much did each person spend?

Answers

Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

Feel free to ask for more if needed or if you did not understand something.

Um comerciante comprou uma caixa de um determinado produto, teve um custo fixo com transporte de

R$ 200,00. Venderá cada unidade por R$ 25,00, o lucro final será dado em função das x unidades vendidas. Sabendo que Lucro = venda - custo Responda:

a) Qual é a lei dessa função f?

b) Se o comerciante vender 1 unidade desse produto terá lucro ou prejuízo? c) Se o comerciante vender 10 unidades desse produto terá lucro ou prejuízo?

d) Se o comerciante vender 25 unidades desse produto terá lucro ou prejuízo?

Answers

A resposta é B, Não há de quê

and the answer has to be in cm squared.
Can anyone plz help ASAP

Answers

Answer:

20 cm^2

Solution,

Area of given figure=(1*1)*5

=5 cm^2

Area after enlargement factor of 2

=5*2*2

=10*2

=20 cm^2

hope this helps .....

Good luck on your assignment.....

Answer:

Area = 10 cm²

Step-by-step explanation:

Area of the Figure:

=> Area = 5 cm²

Area of the figure after scale factor of 2:

=> Area = 5×2

=> Area = 10 cm²

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