what is the common difference in the sequence (-3, 2, 7, 12, ...)

Answers

Answer 1

Answer:

an=a1+d(n−1) a n = a 1 + d ( n - 1 )

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .


Related Questions

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

· 1 pint of white icing

· 4 1/4 teaspoons of blue food coloring

· 2 1/2 teaspoons of red food coloring.



Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)

Answers

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!

Answers

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome

Answers

60 times

You have a 1/3 chance each spin.

1/3 = x/180
180 = 3x
x = 60

10 (-2 + 3y) + 8y = -20

Answers

This is y=0
………………………

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy

Answers

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]

Open bracket

[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]

Open bracket

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?

Answers

Answer:

12

Step-by-step explanation:

number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna

3 ÷ 1 /4

= 3 x 4 = 12

PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What would you add to 1/6 to get 2/3

Answers

I would add 1/6 to 3/6 2/3 is equal to 4/6 to 1/6 plus 3/6 is 4/6

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?

Answers

Answer:

375 posters can be printed for $950

Step-by-step explanation:

First, create an equation. X = number of posters: 200+2x=950

Second, subtract 200 from both sides to get an equation of: 2x=750

Third, divide 2 on both sides to get: x = 375

The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.

Answers

Answer:

53 weeks

Step-by-step explanation:

Given :

Reams of paper used :

3 reams = 4 Week

A case of 5 paper = 8 reams

Hence,

5 cases of paper = (8 * 5) = 40 reams

If :

3 reams = 4 weeks

40 reams = x

Cross multiply :

3x = 40 * 4

3x = 160

x = 160 / 3

x = 53. 333

Approximately 53 weeks (nearest whole number)

Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?

1 foot = 12 inches

Solution:

Elijah:
inches

Lorie:
inches
NO LINKS

Answers

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

xy^-3 is equivalent to ______

Answers

Answer:

xy3 your welcome tell me if I got it right ✅

find the value of x. round to the nearest degree
Not drawn to scale

Answers

Answer:

[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]

x= 57°

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66

Answers

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.

Answers

Answer:

see below

Step-by-step explanation:  5 25 14  16

the graph shows the roots of the polymonimal to be

x = 0   and x - 4 = 0     x = 4     when y or f(x) = 0

f(x)   =   x(x-4)   =  x² - 4x

f(x)   =   x² - 4x

when x = 0   f(x) = 0

         x = 2   f(x)  =  2² - 4(2)   =  -4

         x = 4   f(x)  =  4² - 4(4)   =  0

The factorization of the polynomial graphed are,

⇒ y = x (x - 5)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have been given graph of polynomial.

This is in parabolic shape.

So, this is graph of quadratic function.

Hence,, there will be two zeroes.

And also number of zeroes of a function is equal to the number of times graphs cuts x-axis

Here, we can see graph cuts at (0,0) and (5,0).

So, the Factors will be:

(x - 0) and (x - 5).

Since, If x = 0 is a zero then it means factor will be (x)

Similarly, If x = 5 is a zero then it means factor will be (x-5).

Thus, the factorization of the polynomial graphed are,

⇒ y = x (x - 5)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07

Answers

Answer:

B is the answer to the question.

Step-by-step explanation:

Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.

Answers

Answer:c

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

Stole the picture off a website (which can not be named here lol)

What does an equal sign mean mathematically?

Answers

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answers

Answer:

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Step-by-step explanation:

What is the perimeter of the figure?

A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2

Answers

Answer:

A. 34cm

Step-by-step explanation:

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is​

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Please solve and hurry

Answers

Answer:

225°

Step-by-step explanation:

[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]

What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000

Answers

Answer:

$300000

Step-by-step explanation:

down-payment would $75000 so minus it from $375000 to get the mortgage

Answer:300000

Step-by-step explanation:

375000/100 =3750

1 percent = 3750

20 percent = 3750*20=75000

375000-75000= 300000

If it is helpful t

1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?

Answers

look it up online i think it will be pretty easy and should be the first one to pop up

Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in

Answers

Surface area is 240 in^2

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

What is the value oh x?

Answers

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

Find the length of NL.

Answers

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]

NL = 4 + x = 4 + 4 = 8

Yo can someone help me out

Answers

Answer:

theres an black screen

Step-by-step explanation:

mark as brainliest!!

Answer:

Cant see the image

Other Questions
Un partido de ftbol. Un locutor de televisin describe un partido de ftbol empleando el presente progresivo de los verbos entre parntesis. Los aficionados _____________________ sus equipos. (animar)Rodolfo ___________________ el baln. (robar)Nosotros _________________ un partido emocionante. (ver)Manrique _________________ un gol. (marcar)Los entrenadores _________________ al campo de ftbol. (salir)Los tcnicos __________________ un gran esfuerzo a los jugadores. (pedir)Los aficionados ______________ (entusiasmarse)Los televidentes ________________ los gritos de los aficionados (oir)Este partido de campeonato _____________ mucha atencin. (atraer) SCIENCE QUESTION BUT I HAD TO PUT IN MATH - I WILL GIVE BRAINLIEST TO CORRECT ANSWERLight energy from the Sun is used by a plant to perform photosynthesis. Which structure of the plant helps it to absorb this energy?A. chloroplastB. rootC. stamenD. xylem Is millie boby brown amazing dont anser ules you think so. have coman sence In Macbeth Who knocks at the door the morning after the murder? *A soldierA porterA noblemanA murderer A mixed economy is when the economy has different elements of traditional, command, and market. UnitedStates of America is a mixed economy. What is one example an element of a traditional economy that youwould see in the United States of America.A)Larry H. Miller Group of CompaniesB) WanartC)The local farmers' marketD)University Mall in Orem Cul de las siguientes respuestas es equivalente a 5 km?(3 puntos)50.000 metros500 metros5.000 metros0.005 metros PLSSSSSSSS HELPP REWARD BRAINLIESTTTT Read the excerpt from Keeshas essay.Everyone seems to have a favorite breed of dog, but the Labrador retriever, with its many skills and natural friendliness, has always had a special place in my heart. Labradors are widely regarded as highly intelligent and loyal. Because of their personality, they are often valued as great family dogs. But the most fascinating thing about Labradors is their hunting skills.What statement below would be the best example in a body paragraph to support the thesis of this paragraph?Labradors have been bred for hundreds of years to be loyal hunting dogs.Labradors can spend hours playing catch with their owners.Labradors are popular with other dogs because of their friendliness. You can train Labradors to hunt, but they are also great with children. The pirate looked out onto the open sea a parrot perched upon his peacock figurative language Why was statehood impossible in California until gold was discovered? The radius of curvature of both sides of a converging lens is 18 cm. One side of the lens is coated withsilver so that the inner surface is reflective. When light is incident on the uncoated side it passes throughthe lens, reflects off the silver coating, and passes back through the lens. The overall effect is that of amirror with focal length 5.0 cm. What is the index of refraction of the lens material At the battle of Shiloh, A. the Confederacy turned the Union back quicklyB. the Union won a narrow victoryC. there was no clear winnerD. Grant demanded unconditional surrender Research on tracking has found all of the following except a. less is expected of lower-track students, so their academic performance is lower. b. students in the lower tracks learn less because they are taught less. c. tracking has no real impact on student performance after elementary school. d. even students with the same test scores are put into different tracks according to their race and social class Evaluate f(3) for f(x)=2x2x+5. Whats the quotient of 5,045 divided by 23 One square mile of forest is divided up into ten equally sized quadrats, 1/10th of a mile each. In quadrat #3, twenty-five pine trees are counted.What would be a reasonable estimate for the total number of pine trees in the larger plot of land (one square mile or forest)?A 2500B 25C 250 How to lower blood pressure? Tell answers down bdlow. Protons and neutrons are located in the nucleus of the atom.Please select the best answer from the choices providedTF I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0). A. 5xB.-1/5C.1/5D.-5 Find the volume of a sphere with a diameter of 6.2 in.