Hi Looking for A helping hand


The first term in an arithmetic sequences is -9. The fifth term in the sequences is 15. The tenth term in the sequences is 45. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.

Answers

Answer 1

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅


Related Questions

i need help in this math

Answers

Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

[tex]4 +4 -9+3=2[/tex]

Sprinters who run 100 yards now often run 100 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

5-3x=Px+7
what value must P have for the equation to have no solutions?

Answers

Answer:

P = - 3

Step-by-step explanation:

For the equation to have no solutions the the coefficient of x on both sides must be the same.

5 - 3x = Px + 7 ← P = - 3 , then

5 - 3x = - 3x + 7 ( subtract 5 from both sides )

- 3x = - 3x + 2 ( add 3x to both sides )

0 = 2 ← not possible

Meaning the equation has no solutions

Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado

Answers

To begin, remember that the sum of all angles must equal 180.

With that being said, take your two known angles into account.

1 - X = Unknown

2 - 102

3 - 48

To find x, simply add 102 and 48.

102 + 48 = 150, the sum of angle 2 & 3.

Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.

180 - 150 = 30

x = 30

To double check, add all the sides together.

102+48+30 = 180

12÷5/2=
Tell the answer quick!!

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

what is the slope of y=-4?

Answers

Hello there!

The slope of this line is 0.

y=-4 is a horizontal line.

We find the slope using the formula Rise/Run.

The rise is 0, and no matter what the run is, the slope is 0 anyway.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Answers

30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

https://brainly.com/question/16929864

#SPJ2

Which of the following is not a subset of {1, 2, 3}?

{0}
{1, 2, 3}
Ø

Answers

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

Express (5a3n)3 with positive exponents.

Answers

Answer:

45an

Step-by-step explanation:

1st. (5a × 3n) × 3

2nd. Multiply the monomials

3rd. after doing that you get 45an

(X-3)(X-12)

Expand and simplify

Answers

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

hi! I need help ! Triangles geometry angles table.

Answers

Answer:  

145°

Step-by-step explanation:  

[Finding the non-label angled in the triangle] 180° - 75° = 105°

 

Finding 3: (x = angle 3)  

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180  

[combine like terms] 145° + x = 180°  

[subtracting 145 from both sides] 35° = x  

   () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)  

180 - 35 = 145°

Have a nice day!  

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)  

- Heather

8x-22 please help me please help me please help me please help me please help me please help me

Answers

Answer:

8x - 22

Step-by-step explanation:

You can't do anything because in order to subtract 22 from 8x the 22 has to have an x behind it as well. :) hope this helps! (Can I get brainliest? If not it ok! ^w^)

You surprised your friends with a trip to a haunted house this weekend. The admission tickets were $8 per friend. You had to pay an additional $5 for parking and you spend $20 on food. You also got your friends a card that was $2 per friend. At the end of the night, you spent $105. How many of your friends did you bring to the haunted house?

Answers

Answer: 8

Step-by-step explanation:

Ok, start going backwards with the addition and substration which makes it:

105 – 25 = 80

Since you had to pay 8 and 2 for each friend so that makes the cost for a friend 10 so:

80 divided by 10 = 8

8 Friends is the answer.

Evaluate the expression when x=−4/5 and y=1/3.

2x+6y

Answers

Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

[tex]-------------------[/tex]
12+2=

Answers

The answer would be 14.

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.

Answers

Answer:

200points

[tex]x6)266(6( \times [/tex]

hatodf jahahshshshshfidba

"find 48 divided by 2 using the distributive property"

Answers

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

Please help me with this I don't get it

Answers

Basically what you do is plot some points or plot the points that are given then you look at the points in quadrant 2 and describe what is going on like if it is linear or not.

Can someone please help me solve this please

Answers

Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

=> 2x = j(x) - 9

=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

2x+10=4.what are the steps to follow as to get the actual value of X

Answers

2x + 10 = 4
So we want to get X alone
So we - 10 on both sides
2x = 4-10
2x = -6
Now we divide by 2 so we get the value of X
X = -3

Please help I’m begging you

Answers

Answer:

y = 9

Step-by-step explanation:

The line "y = 9" is parallel to the x-axis and passes through (0,9).

Please help! Due in two hours!

Answers

Answer:

-175.26

Step-by-step explanation:

[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]

At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.

Answers

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

To have a balanced budget, you must ___
A have your gross pay equal your spending
B have your net income equal your spending
C have your gross pay equal your spending and savings
D have your net income equal your spending and savings​

Answers

A because they have to balance your spending and earning

Answer:

D have your net income equal your spending and savings.

Step-by-step explanation:

I did A and got it wrong, D is the correct answer.

The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.

Answers

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

On a trip, you see a large, sphere-shaped house. The volume of the house was 3,367,575 cubic feet. What is the radius? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

804357 27/314=r³

∛804357 27/314=∛r³

r≈93

What is the value of x?

Answers

Answer:

x = 7

Step-by-step explanation:

The right angle is composed of the 2 given angles, so sum to 90°

4x + 40 + 6x - 20 = 90

10x + 20 = 90 ( subtract 20 from both sides )

10x = 70 ( divide both sides by 10 )

x = 7

verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.

Answers

Answer:

so whats the question. ...........

the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost​

Answers

Answer:

48

Step-by-step explanation:

First find the amount of the markup

40 * 20%

40 *.2

8

Add this to the original price

40+8 = 48

Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them

Answers

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

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