The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer 1

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of 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

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37


Related Questions

15 points! Please I need some help this is due ...

Answers

Answer:

The answer above is correct

Please help look at the screenshot

Answers

Answer:

Step-by-step explanation: 40 newtons to the right

Answer: 40 Newton’s


The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro can
expect to pay?

Answers

Answer: $10.7

Step-by-step explanation:

The following can be deduced from the question:

Total cost of items = $130

Percentage of Sales tax = 8.25%

Sales tax = Sales tax percent × Cost

Sales tax = 8.25% × $130

Sales tax = 8.25/100 × $130

= 0.0825 × $130

= $10.725

= $10.7

Find the value of x

A-6
B- 4
C- 11
D- 5

Answers

Answer:

b.11

Step-by-step explanation:

3x+2+70=9x+6

put your like terms on one side:

9x-3x=70+2-6

6x=66

divide both sides by 6

x=11

29 2/3 divide 7 1/2
what’s the answer

Answers

Answer:2 5/42 or 89/42

Step-by-step explanation:

The answer would be 1/21
I tried to just write the answer but they said I had to write 20 sentence.

What is the awnser??????? I need help!!!!!!

Answers

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?

Answers

Answer:

10 apples

Step-by-step explanation:

141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag

we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag

Whats the answer? I will give brainliest if correct♡︎ꨄシ

Answers

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

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

Answers

Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

7/8 divided by (-13/7)

Answers

7/8/-13/7 = -0.4711 that’s the answer

A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is

Answers

107.50 + 160.00= how much he will make

ft. = 4.8 yd.
How many feet is it

Answers

The answer is 14.4 feet

TRUE OR FALSE
Angle BAH and angle DAG form linear pair.

Answers

Answer:

false

Step-by-step explanation:

The answer is TRUE ANGLE BAH AND ANGLE DAG ARE A FORM OF A LINEAR PAIR

Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?

Answers

Answer:

if you round, its 99. if you ignore the decimal, its 98

Step-by-step explanation:

2/3 of 148 is 98.66

What is the area of this polygon?

Pleasee help mee

I will mark brainliest!

Answers

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

[tex]5(11)=55[/tex]

The triangle:

[tex]2(5)=10\\10/2=5[/tex]

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

Please help I’m not sure what it is don’t make fun I’m not good at math

Answers

Answer:

3.75 or 3[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.

Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+

Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].

(?)^2-3(?)=-2 can anyone solve this

Answers

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

A number n minus 3 is at least –5.

Answers

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

Can I please get HELP? ( Picture included)

Answers

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Twelve Divided by the sum of a number and five

Answers

12/x+5
x represents “a number” because it’s unknown and the + sign is because the words sum

please help! i would appreciate it!

Answers

Answer:

(Answer

Step-by-step explanation:

deleted)

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?

Answers

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.

Answers

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Solve the equation. Identify any extraneous solutions.
h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

Answers

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

Find a counterexample to show that the given conjecture is false:

The sum of two positive even integers is always an odd integer.

Answers

Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?

Answers

Answer:

10$

Step-by-step explanation:

Evaluate x/y when x=9/4 and y=3/5

Answers

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?

Answers

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.

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