The nth term of a sequence is 33 - 5n

a) Work out the first three terms of the sequence.

Answers

Answer 1
Answer : 28, 23, 18

To find the ‘nth term’ all you have to do is replace the variable ‘n’ in the equation with the number term you’re looking for.

In this case you’re looking for the first three terms, so you would replace n with the numbers 1, 2, and 3.

This gives you 28, 23, and 18.

Related Questions

Solve for y.
3= y+7 divided by 3

Y=

Answers

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

What is the slope of the line graphed below? (PLEASE ANSWER IMMEDIATELY)

Answers

Answer:

-2/-3

Step-by-step explanation:

The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively. calculate the rate of compound interest and the principal.​

Answers

Answer:

The rate of interest is 12 %.

Step-by-step explanation:

The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively.

[tex]1800 = P\left ( 1+\frac{r}{100} \right )- P.... (1)\\\\3816 = P\left ( 1+\frac{r}{100} \right )^2- P.... (2)\\\\Divide (2) by (1)\\\\\frac{3816}{1800}=\frac{\left ( 1+\frac{r}{100} \right )^2-1}{\left ( 1+\frac{r}{100} \right )-1}\\\\38.16 r = 1800 (1 +0.0001 r^2 + 0.02r -1)\\\\r = 0.12 =12 percent[/tex]

Can anyone help me out

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

j/k - 0.2k

j = 25

k = 5

Step 2: Evaluate

Substitute in variables:                                                                                     25/5 - 0.2(5)Divide:                                                                                                               5 - 0.2(5)Multiply:                                                                                                               5 - 1Subtract:                                                                                                            4

Please answer either or all of them and please show me how you solve it

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + y^2 = 21^2

16 + y^2 = 441

y^2 = 441 - 16

y^2 = 425

[tex]y = \sqrt{425}[/tex]

[tex]y = 5\sqrt{17}[/tex]

y = 13.2

a^2 + b^2 = c^2

4^2 + x^2 = 7^2

16 + x^2 = 49

x^2 = 40 - 16

x^2 = 33

x = [tex]\sqrt{33}[/tex]

x = 5.7 m

Ratio Question:

Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.

Answers

Answer:

i dont under stand but i will just ask for help to my father

Step-by-step explanation:

i dont wnow the answer!???

Answer:

Step-by-step explanation:

[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]

[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]

[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]

[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]

 [tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex]                    [tex][ \ cross \ multiply \ ][/tex]

[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]

[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]

Therefore ,

                 Florence earned $24

                 Anona earned 24 + 16 = $40  

                 Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32

                 

What two whole numbers does √89 fall in between ?

Answers

Answer:

9 and 10

Step-by-step explanation:

To work this out, you can either evaluate [tex]\sqrt{89}[/tex] or find the 2 closest perfect squares to 89.

With the second method, the 2 closest perfect squares are 81 and 100, otherwise known as and 10². This means [tex]\sqrt{81}[/tex] is between 9 and 10.

With the first method, the result is 9.4339811320... which is between 9 and 10.

I'm always happy to help!

Answer: 9 and 10

Step-by-step explanation:

write an equation of the line in standard form that represents each graph

Answers

Answer:

x+y=3

Step-by-step explanation:

y=mx+b

m=-1

b=3

y=-x+3

add x over for standard form

x+y=3

(30 points PLS HElP)
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base.
Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
V =äa2h
Here, ais the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
2+
= 0 can be used to find that the
length of the sculpture's base is
centimeters.

Answers

Step-by-step explanation:

the answer is in the image above

Answer:

x = 9 cm

Hope this helps you.

PLEASE HELP I ONLY HAVE A FEW MINUTES LEFT!!
If the graph is translated 3 units right and 8 units down, what is the new equation of the function?
y= |x-4| +2
y= |x+1| -3
y = |x+4| +2
y = |x-1| -3

Answers

Answer:

Should be B

Step-by-step explanation:

I believe you just move the point that lines converge down 8 and to the right 3. Then you multiply the x-value by -1.

5(x+y)-3(x-y) A. 2x B. 2x+2y C. 2x+8y D. 8x+8y​

Answers

the answer is 2x+8y Or C

hope it helps !! i wanted to put the step by step but it’s too much to type :(

To make 3 glasses of orange squash you need 600 ml of water. How much water do you need to make: a) 5 glasses of orange squash, b) 7 glasses of orange squash?​

Answers

Answer:

To make 3 glasses of orange squash you need 825 ml of water and 75 ml of orange cordial

Step-by-step explanation:

Plz someone help me out in this​

Answers

Answer:

0.17

Step-by-step explanation:

41×cos(D) = 9

cos(D) = 9/41

=>

in a circle with the radius of 41 the point on the circumference of the circle for the angle D has an x-distance from the center of the circle of 9.

therefore, cos(D) = that x-distance divided by the radius (as the trigonometric functions only deliver the values for the norm circle with radius 1).

what is the y-distance (sin(D)×41) ?

r² = x² + y²

41² = 9² + y²

1681 = 81 + y²

1600 = y²

y = 40

therefore, sin(D) = 40/41

tan(D) = sin(D)/cos(D)

you know how to divide 2 fractions with each other ?

by multiplying the 2 outer factors (to top-most and bottom-most) as the top part of the result, and by multiplying the 2 inner factors for the bottom part of the result.

(40/41 - 9/41) / (40/41 / 9/41) =

= 31/41 / (40×41 / 9×41) = 9×41×31 / 40×41×41 =

= 9×31 / 40×41 = 279 / 1640 ≈ 0.17

Alissa's budget is shown in the circle graph below. Her total monthly budget is $1,500. How much dos Alissa spend on rent?

Answers

Answer: C) $450

Step-by-step explanation:

If her rent is 30% of her total budget we can multiply by 0.3 to find how much is spent on rent.

1500x0.3=450

Alissa spends $450 on rent.

Answer:

C

Step-by-step explanation:

1. Find how much 30% of $1500

(30/100) x $1500 or ($1500 x 100)/30

2. Finish.

Hope this helps

can anyone tell me :
[tex] {a}^{2} + {b}^{2} [/tex]

Answers

[tex] \large \boxed{ {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab}[/tex]

The formula is derived from the (a+b)² which can be expanded as:

[tex] \large \boxed{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }[/tex]

Now since we only want a²+b² and not 2ab. We can add -2ab after (a+b)² which result in (a+b)²-2ab. This formula is pretty useful it comes to higher maths.

Answer

a²+b² = (a+b)²-2ab

If this is not what you are looking for then let me know through comment!

PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅

A. ∠D
B. ∠A
C. ∠C
D. ∠E

Answers

Answer:

Angle B is congruent to Angle E.

Step-by-step explanation:

Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything

In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.

What is CPCT?

Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.

Since, ΔABC ≅ ΔDEF,

AB = DE

BC = EF

AC = DF

∠A = ∠D

∠B = ∠E

∠C = ∠F

Learn more about CPCT here

https://brainly.com/question/21360865

#SPJ2

Is 5x-5 Always,Sometimes or Never going to equal 5(x+1)?

Answers

I would say never because 5(x-1) would equal 5x-5

How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point?

y = 3x -17 and y = -2x + 8

Answers

To solve it using substitution, you need to plug in one of the equations for y on the other. Since they both equal y, that means the equations also equal each other.

It would be:

3x - 17 = -2x + 8

Then solve. First you can add 2x to both sides.

5x - 17 = 8

Add 17 to both sides

5x = 35

Divide both sides by 5.

x = 5


Since we now have x, we can find y by plugging in 5 for x in any of the equations. I will use y = -2x + 8

y = -2(5) + 8

y = -10 + 8

y = -2


We now have both x and y. As a coordinate point, it would be (5, -2).

PLEASE HELP ME ON MY MATH HW
Rationalize the denominator and simplify.

Answers

Step-by-step explanation:

hope this helps you ......

hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t have to! okay but I need this done asap! thank you so much have a amazing day!!! :) *spam? May b!*

Answers

Answer:

1) 1 and 4

2) 1 and 2

3) 1 and 5

4) 2 and 3

5) 130°

6) 90°

7)25°

8) 115°

Which 2 of these triangles have the same angles as each other? NEED ANS ASAP GIVING U 15points

Answers

A and B


























Hope this helps

The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.

Answers

Answer:

The answer is Yes .. Ron is correct

Step-by-step explanation:

This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.

Each side of the inner square divides the outer square into two making each side 1 unit.

The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.

Hey there, please help me. Thank you

Answers

Answer:

x=5

Step-by-step explanation:

32 = 2^x

Rewrite 32 as 2^5

2^5 = 2^x

Since the bases are the same, the exponents are the same

5 =x

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]2^{5}=2*2*2*2*2=32[/tex]

Hope this helps

Can someone help me please

Answers

the answer is 30 hope that helps

Answer:

28²

Step-by-step explanation:

Cut the rectangle into two parts to make it easier.

Add 3 and 3 to get 6, and then subtract from 8 to get the width of the vertical rectangle.

6 x 2 = 12, so that is the area of the vertical rectangle.

The horizontal rectangle is just 8 x 2, which is 16.

Add 12 and 16 together to get  28².

PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEE WITH THIS I DO ANYTHING JUST HELP


Task #4 Gamers and Game World


Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.

a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.

b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.

c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.



d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.

e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.

f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?

Answers

Answer:

a)....it would cost 12 dollars

the equation is.... 2x 6(number of downloads)

b) C = 15 + (dx0.5)

c) the graph represents gamers price model

d) gamers would be cheapest

gamers would be 8 x 2 = 16

gameworld would be 15(monthly subs) plus 0.50 x 8 (4 dollars) = 19

e) totally depends upon the number of games downloaded by each person.

for up to 10 games per month Justin is on the best deal

exactly 10 games per month makes both deals equal

over 10 games per month Kenny is on the best deal

Which value of m makes the inequality 10m − 5 < 45 true?

A) 3
B) 5
C) 7
D) 9

Answers

Answer:

A) 3

Step-by-step explanation:

10 (3) - 5 < 45

30 - 5 < 45

25 < 45

Answer:

B

Step-by-step explanation:

10m-5<45

add 5 on both sides to get 10m<50

divided by 10 on both sides to get m<5

Distance travelled by light in a year.​

Answers

that light travels a distance of (9,460,528,000,000 km) or (5,878,499,817,000 miles) in a single year. Hope this helped you!

Answer:

9.7 trillion kilometers

Step-by-step explanation:

The distance travelled by light in a year is 9.7 trillion kilometers (6 trillion miles).

SOMEONE, PLEASE HELP!!!!!!

Answers

Answer:

I think its y^-3

Step-by-step explanation:

Since y^-3/y^-2 are both negatives they would swap places to become positive - y^2/y^3

then using rules of exponents you would subtract the exponents witch would be y^-3

Answer:

[tex]\frac{1}{y^{3} }[/tex]

Step-by-step explanation:

[tex]\frac{y^{-5}}{y^{-2}}[/tex]

Apply exponent rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=y^{-5-\left(-2\right)}[/tex]

Apply rule [tex]-\left(-a\right)=a[/tex]

[tex]=y^{-5+2}[/tex]

Add/Subtract the numbers -5+2=-3

[tex]=y^{-3}[/tex]

Apply exponent rule [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{y^3}[/tex]

como se lee log 27=3

Answers

Step-by-step explanation:

log 27 a la base 3 = 3 (In spanish)

log 27 to the base 3 = 3

Trees are planted on both sides of a road that is 0.28km long. If the trees are planted at intervals of 4m , how many trees were planted?

Answers

Answer:

140 trees

Step-by-step explanation:

Number of trees planted on one side of the road = length of the road / intervals

1000m = 1km

0.28 x 1000 = 280m

280 / 4 = 70

number of trees planted on both sides of the roads = 70 x 2 = 140 trees

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