The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4​

Answers

Answer 1

Answer:

       C)  4

Step-by-step explanation:

The nth term of arithmetic sequence is   [tex]a_n=a_1+d(n-1)[/tex]

So:

    [tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]


Related Questions

i-Ready
Ron is paid $1,500 every month plus an additional $100 bonus for every tractor he sells, 2. Which equation represents the total amount of money, y, Ron makes each
month?
PLEASE ANSWER ASAP!

Answers

Answer: y= 100x +1500

Step-by-step explanation:

The 1500 value never changes, so it doesn’t need a variable

The 100 value will change based on how many he sells, so it needs a variable

Answer:

its the first one.

Step-by-step explanation:

the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500

HELP PLEASE ASAP A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?

Answers

Answer:

3458

Step-by-step explanation:

suppose the length of the pool in Example 1 is
3 times the width. How does the function that
represents the combined area of the pool and
the deck change?

Answers

do they have a picture which comes w it

Order these numbers from greatest to least: 425
4
25
, 0.40, 4%, 38%.

Answers

Answer:

425, 25, 4, 0.40, 38%, and 4%.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

425, 25, 4, .40, 38%, 4%

Step-by-step explanation:

38% is equal to .38 and 4% is equal to .04

they're less than .40 so they are at the end.

please help if you want points and happy ramadan if you celebrate it

Answers

Answer:

1. yes

2.no

3.yes

4. no

hope this helps I'm not sure about number 2 tho

A café has a monthly fixed cost of $4700, and a typical customer order costs the café $2. Therefore, the cost to serve x customers in a month is given by x = 4,700 + 2x. The typical order costs $10. So revenue is y = 10x. Find the number of customers that would need to come in the café for the company to break even. (Intersection point)

Answers

Answer:

The number of customers that would need to come in the café for the company to break even is 470.

Step-by-step explanation:

Given

Revenue = y = 10x ……………….…. (1)

Cost = x = 4,700 + 2x ……………… (2)

Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:

10x = 4,700 + 2x

10x - 2x = 4,700

x = 4,700 / 10

x = 470

Therefore, the number of customers that would need to come in the café for the company to break even is 470.

Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250 cm. What is the area of the pool in square meters? Enter the area of the pool in the box.

Answers

Answer:

[tex]A=1250m^2[/tex]

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]

Therefore Area Aof main pool is mathematically given as

[tex]A=50m*25m=1250 m^2[/tex]

[tex]A=1250m^2[/tex]

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

1st Question: D

2nd Question: Is either C or D

Hope this helps :)

7. A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

Answers

The values less than 4 or greater than 14 cannot be the length of the third side

Which cannot be the length of the third side?

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

Read more about triangles at

https://brainly.com/question/1163433

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The measure that  cannot be the length of the third side is 14. Option

How to determine the length

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

Learn about triangles at: https://brainly.com/question/1058720

#SPJ1

The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14

PLSS HELP ASAP!! I WILL GIVE YOU BRAINLYEST!!

Temperature can be measured using either the Fahrenheit scale or the Celsius scale.
The relationship between Fahrenheit and Celsius can be modeled by the equation:
F = 9/5C+32 where F = degrees Fahrenheit and C = degrees Celsius

If the temperature is 84° Fahrenheit, what is the approximate temperature in degrees Celsius?

A. 29
B. 50
C. 94
D. 183



Answers

A I think(sorry if you get it wrong I’m not exactly sure djdnbd)
It is a ur welcome............

Pls help me ._. I’m failing:)

Answers

Answer:

Step-by-step explanation:

1. add the exponents

Ex: [tex]2^{2}*2^{3} = 2^{5}[/tex]

2. subtract the exponents

Ex: [tex]2^5-2^3 = 2^2[/tex]

Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?

Answers

Answer:

you would have to get a 100 on your fifth test

Step-by-step explanation:

because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

The Candle Company is designing a new cylindrical candle. They are looking at four different molds. Which mold will use the

least amount of wax?

Mold

A

B

Candle Mold Choices

Diameter

2 inches

2 inches

inches

inches

Height

7 inches

4 inches

3 inches

3 inches

C

D

3

4

Recall the formula V= 72.

Mold A

Mold B

Mold C

Mold D

Answers

Answer:

mold B

Step-by-step explanation:

The molds are of cylindrical shape. The volume of a cylinder is given by:

Volume = πr²h

where r is the radius and h is the height.

For mold A: diameter = 2 inches, hence radius = 1 inch. Height = 7 inches

volume = π(1²)7 = 7π in³

For mold B: diameter = 2 inches, hence radius = 1 inch. Height = 4 inches

volume = π(1²)4 = 4π in³

For mold C: diameter = 3 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(1.5²)3 = 6.75π in³

For mold C: diameter = 4 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(2²)3 = 12π in³

Therefore mold B has the smallest volume

Answer:

B

Step-by-step explanation:

How much money was spent?

16

24

28

22

Answers

Umm you’re going to be more specific with your question
What are you asking here?

Determina el perimetro de las figuras geometricas que forman la rayuela

Perimetro: L=50 cm

Expresión:

Sustitucion:

P=_______/
La figura es un cuadrado y cada lado mide 50 cm

Answers

Answer:

2000cm

Step-by-step explanation:

Rayuela es un juego jugado por niños que se compone de 10 cuadrados.

Se nos da a partir de la pregunta anterior, la longitud del lado de un cuadrado = 50 cm

La fórmula para el perímetro de un cuadrado es 4a

Donde a = longitud del lado

El perímetro de 1 cuadrado =

4 × 50 cm

= 200cm

El perímetro de los cuadrados totales en la rayuela.

1 cuadrado = 200 cm

10 cuadrados = x

Multiplicar cruzada

x = 10 × 200 cm

x = 2000 cm

Por lo tanto, el perímetro de las figuras geométricas de una rayuela = 2000cm.

there are 9 rows of tomato plants with 205 plants in each row. How many tomato plants are there in all?

Answers

If there are 205 in each row
Then 9*205 would be the answer
Because 205 tomatoes are repeated or present 9 times
Hence the total tomato plants are: 1845

Answer:

1 row = 205plants

9*205=1845plants

Therfore 1845 plants are there in 9 rows of tomato.

Step-by-step explanation:

Please mark as brainliest.

2. Find the area of the triangle.
(1 point)
O 33.62 02
0 số 1 c-
344.4
0172.240-

Answers

ion even know lol ask your teacher

50 POINTS MARKING BRAINLIEST PLEASE HELP! Find the surface area of the cube. (2 pts correct answer, 1 pt for showing your thinking)

Answers

Answer:

150cm²

Step-by-step explanation:

Side= 5cm

So, 6x5²=6x5x5

6x5x5=150cm²

Hope it elps, plz mark me as brainliest.

The scale drawing of a rectangular room has a length of 18 inches and a width of 12 inches. If the scale for the
drawing is 1 inch = 2 1/2 feet, what is the perimeter of the actual room?

Answers

Step-by-step explanation:

Scale factor =5/2

length=5/2×18= 45

width=5/2×12= 30

perimeter = 2(L+W)

=(45×2+30×2)

90 +60

=150 inches

find the excerpted value ​

Answers

Answer:

The expected value is $4.35

Step-by-step explanation:

Here, we want to find the expected value

To

do that, we simply will multiply each of the payouts by the individual probabilities, then add the results

Mathematically, we have this as;

0.35(1) + 0.2(2) + 0.1(5) + 8(0.2) + 10(0.15)

= 0.35 + 0.4 + 0.15 + 1.6 + 1.5 = $4.35

Um motor elétrico recebe 2.800 kJ de energia elétrica. Transforma 900 kJ em energia térmica, 150.000 J em energia sonora e o restante em energia cinética. Podemos afirmar que seu rendimento é de: *
a) 62,5 %
b) 68,7 %
c) 70,4 %
d) 72,7 %
e) 92,3 %

Answers

Uno se pierde, el otro se recicla.

Explicación:

El movimiento de nutrientes difiere del flujo de energía en un ecosistema porque los nutrientes se pueden reciclar mientras que, por otro lado, la energía se pierde en el ecosistema. Tanto los nutrientes como la energía fluyen en la misma dirección y toda la energía del ecosistema proviene del sol, que es la principal fuente de energía. Entonces podemos decir que la energía perdida y los nutrientes se reciclan en el ecosistema.

Members of a lacrosse team raised $2033 to go to a tournament. They rented a bus for $993.50 and budgeted $74.25 per player for meals. Write and solve an equation which can be used to determine
p
p, the number of players the team can bring to the tournament.

Equation:
Answer:
p
p =

Answers

Answer: p=14

Step-by-step explanation:

Equation: 74.25p+993.5=2033

The person that answered it the first time is wrong

PLEASE HURRY!!!
Write an explicit formula for [tex]a_{n}[/tex], the nth term of the sequence 35, 42, 49, ....

Answers

Answer:7n+28

Step-by-step explanation:

PLS AWNSER NOW

Raul’s monthly budget of $2000 is the same for one year. The circle graph represents how much he spends each month for various expenses. Approximately, how much money does he spend on rent for the entire year?

Answers

Answer:

600

Step-by-step explanation:

2000/10=200. 200x3=600

The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?

A)
f(x) = (x + 5)2

B)
f(x) = (x – 5)2

C)
f(x) = x2 – 5

D)
f(x) = x2 + 5

Answers

i think it’s b but i’m not sure

A scientist planted seeds in 4 sections of soil for an experiment. Not all of the
seeds grew into plants. After 20 days, the scientist counted the number of
plants in each of the 4 sections. The results are shown in the table.
• Use the data in the table to determine approximately how many plants
grew per square foot.
• Explain or show how you determined your approximation.
• Let y be the number of plants expected to grow in x square feet. Write an
equation the scientist could use to model the relationship between y and x.

Answers

Answer:

I think you would multiply 20 × 4 and the answer would be 80 that the scientist counted the number of plants in each 4 sections after 20 days.

The number of plants per square foot will be; 48.

Given that scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

The number of plants per square foot:

= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)

= (325 + 3800 + 5875 + 9300) / 400

= 48.25

Thus, it was illustrated by the number of plants and size of sections.

Thus, the number of plants per square foot will be 48.

To learn more about square foot refer to:

brainly.com/question/24657062

#SPJ2

Can someone please help me asap ill mark brainlist + extra points!!!!!!

Answers

Answer:

25

Step-by-step explanation:

d=2r

2r=25+25=50

d=50

Radius =25

Answer:

25 yds

Step-by-step explanation:

2*radius=diameter

radius=d/2

r=50/2

r=25yds

Complete the square for 5x2 - 30x = 5.

Answers

Answer:

x=1/6

Step-by-step explanation:

cytktcyrcuhvoui

Please help ill give brainlest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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