The first term in an arithmetic sequence is 9 and the tenth term is 45. Use the first and tenth terms to find the sun of the first 10 terms. The equation of the sequence is an=4n+5

Answers

Answer 1

Answer:

270.

Step-by-step explanation:

If the first term = a and 10th term = a + 9d where d = the common difference.

a + 9d - a = 45 - 9

9d = 36

d = 4.

Sum of first 10 terms = (10/2)[2*9 + (10-1)*4]

= 5 * (18 + 36)

= 5 * 54

= 270.


Related Questions

Consider the equation 1/4y=1.5x. Solve the equation for y to find the constant of proportionality.The constant of proportionality for the equation is

Answers

The first thing I did was to be a part of the world, and the other is a great way to get the best out of the way, and I have to say that I am not a fan of the
The first thing I did was to be apart part of the problem and a few of my own personal information ℹ️ and a

Topic 1: Translate

The sum of twice a number and 9 is -25."

Answers

Answer:

2n + 9 = - 25

Step-by-step explanation:

let the number be n then twice the number is 2n

The sum of 2n and 9 is 2n + 9

the result is - 25 , that is

2n + 9 = - 25

Answer:

x=-17

Step-by-step explanation:

The sum of twice a number and 9 is -25."

2x + 9 = -25

2x = -34

x = -17

-----------------------------------------

check

2 * (-17) + 9 = -25

-25 = -25

the answer is good

solve for y
3 (3y - 5) = 34
Simplify as much as possible


:)) thxx

Answers

Answer:

y=49/9

Step-by-step explanation:

Distribute 3 with 3y and -5

3 times 3y is 9y

3 times -5 is -15

So the equation now looks like this:

9y-15=34

Add 15 on both sides:

9y=49

Divide 9 on both sides

So y=49/9

Since there is no common value to divide by y is 49/9

If you want the decimal version it is 5.44=> (=> meaning continuing forever)

Hope this helps!

We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today
A.b> 20
B. b> 10
C.b> 30
D.b> 20

Answers

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning ​

Answers

Step-by-step explanation:

I think that's clear enough

2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.

(a) What is the inverse of function f?

(b) Is f an inverse of g? Show your work algebraically and explain your answer

Answer:​

Answers

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

(a)

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

(b)

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?

Answers

Answer:

[tex]c = 0.35 x + 24[/tex]

Step-by-step explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

[tex]c = 0.35x + 24[/tex]

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.

Don’t understand this math question

Answers

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

Help guys plzzz asapppp

Answers


sin(x) = opp/hyp
cos(x) = adj/hyp
tan(x) = opp/adj

sin(x) = 3.9/8.1
sin(x) = 0.481

Inverse sin of 0.481 = 28.8 degrees

Each answer should be between 0 and 90 :)

Construct a 60angle
NEEDED ASAP LIKE IN 5 MINUTES OR LESS

Answers

Answer:

but how there is nothing i dk plz can you explain me what the question actually is?

The mixed number 2Five-sixths is equivalent to a fraction with a denominator of 6.

2Five-sixths = StartFraction question mark over 6 EndFraction

What is the missing numerator in the equivalent fraction?

8
12
17
18

Answers

Answer:

what the answer

Step-by-step explanation:

Explain what similarity means in terms of congruence and proportionality. ​

Answers

Answer:  Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

Step-by-step explanation: pls give brainlist

The cost in dollars for a group to attend a play is represented by 72p + 250. where p is the number of people attending what is the cost for 36 people.

A. 286
B. 358
C. 2,342
D. 2,842

Answers

Based on the equation that is given, the total cost for the group to attend a play will be 2842.

From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.

Therefore, when the number of people are 36, the cost will be:

= 72p + 250

= 72(36) + 250

= 2592 + 250

= 2842

Learn more about equations on:

https://brainly.com/question/1214333

Help plz, no links.

Answers

Answer:

1) g = -8 (one solution)

2) b = 0 (infinitely many solutions)

3) w = 5/6 (one solution)

4) c = 0 (infinitely many solutions)

Step-by-step explanation:

1) 1/2g -4 = 2g - 1/2g + 4

1/2g -2g +1/2 g = 8

-g = 8

2) 5.3-5.3 = 2.1b + b - 3.1b

0=0

3) 3/4w+ 3/4w = 10/4 - 5/4

3/2w = 5/4

w = (5/4) / (3/2)

w = 5/6

4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5

0 = 0

Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time. ​

Answers

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

Learn more about interest here:https://brainly.com/question/25545513

Explain how you would solve the problem below.



20% of 60

Answers

20% of 60 is

20 / 100 * 60

= 1200 / 100

= 12
Hope this helps

What type of triangle is this?
6
3
8
acute
obtuse

Answers

answer: acute triangle (less than 90 degrees)
acute, less than 90 degrees

Someone please help me with this

Answers

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

OK im confused for real: ok so what does 20X80X100X70X40+4=

Answers

Answer:

448000004.

Hope that helps. x

Answer:

448000004

Step-by-step explanation:

QUICK MATHS

Does anyone know the answer to this the work is not needed unless you would like but Please please please answer :)

Answers

I think it’s b am not sure

-9y + 4x - 20 = 0
-7y + 16 - 80

Answers

Answer:

Step-by-step explanation:

Answer: y = 2 x + 22

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

If f(x)= x2 - 4x - 4, find the input values that make the function 0.

Answers

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

heda ate 1/12 box of ceral now the box is 3/4 full

Answers

The answer would be 5/4

4(n-16)=16 this is my question and what I need help on

Answers

Answer:

n = 20.

Step-by-step explanation:

4(n - 16) = 16=> 4n - 64 = 16=> 4n = 16 + 64=> 4n = 80=> n = 20

Conclusion:

Therefore, n = 20.

Hoped this helped.

[tex]GeniusUser[/tex]

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model. ​

Answers

Answer:

Number of baskets with 12 pieces of fruit: 15

Number of baskets with 15 pieces of fruit: 45

Step-by-step explanation:

25% x 60 = 0.25 x 60 = 15

75% x 60 = 0.75 x 60 = 45

The complete model for the given question is;

Number of fruit baskets that contain 12 fruits = 15 baskets

Number of fruit baskets that contain 15 fruits = 45 baskets

We are told that he bought 60 fruit baskets.

Percentage of the fruit baskets that have 12 pieces of fruit = 25%

Percentage of the fruit baskets that have 15 pieces of fruit = 75%

Thus;

Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets

Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets

Read more about percentages at; https://brainly.com/question/11865045

What value of x would make △PQR~△MNL?

Answers

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

if all 10 players scored the same number of points, how many would each have to score to get a total of 230

Answers

Answer:

Each player would have to score 23 points.

Step-by-step explanation:

To answer this question, you must do 230 ÷ 10!

The answer to this is 23.

You can double check your answer by multiplying 23 by 10!

Answer:

23

Step-by-step explanation:

I got it correct on I-ready

Hope this helped!

From: Aug1e

2+2=4 but you plus me = forever



i got smooth with it​

Answers

dam bro

thats pretty smooth

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