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

What is the area of this figure? Enter your answer in the box.​

Answers

Answer:

58.5

Step-by-step explanation:

3x11=33

3x3=9

3x11/2=16.5

16.5+9=25.5

25.5+33=58.5

Thanks we have same question

Which value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|?

–1

1
4

Answers

Answer:

_4

Step-by-step explanation:

I took the quiz in the car 100

If we want to make the graph wider, then we must have a horizontal dilation, so the correct option will be 1/4.

How do horizontal dilations work?

A horizontal dilation is a transformation that makes the graph of a function wider.

For a function f(x) an horizontal dilation of scale factor k (with k > 1) is written as:

g(x) = f(x/k)

For the case of the absolute value function we will have:

g(x) = |x/k| = (1/k)*|x|

So we need to find the value (1/k).

Remenber that k > 1, then 0 < (1/k) < 1.

This means that the only values between 0 and 1 could fill the blank in such a way that the graph of that function is wider than the one of the parent function, so from the given options, we will take:

1/k = 1/4

Then the function is:

g(x) = (1/4)*|x|

This function will have a graph wider than the one of f(x) = |x|

If you want to learn more about transformations, you can read:

https://brainly.com/question/17586310

Please help



marking brain list

Answers

answer should be 3. (2,3)

three teams a,b,c play in a competition
games won by a : games won by b = 3:1
games won by b :games won by c= 5:1
team b has won 10 games
in total how many games have the three teams won

Answers

Answer:

25:2

Step-by-step explanation:

what are the following inequalities is equivalent to 3-(w+2)>4+2w

1-w>4+2w

1-w>6w

5-w>6w

5-w>4+2w

Answers

Answer:

1-w>4+2w

Step-by-step explanation:

3-w-2>4+2w

1-w>4+2w

here it is

Convert the number to scientific notation. 0.000001019

Answers

Answer:

0.000001019 in scientific notation

=

1.019 × 10-6  

Step-by-step explanation:

Answer:

[tex]1.019^{6}[/tex]

Step-by-step explanation:

Tell whether the shaded figure is a reflection of the nonshaded figure

Answers

Answer:

1. isn't a reflection

2. is a reflection

3. is a reflection

PLEASE HELPPP WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

where is the question?

Evaluate the function at the given value if f(x)= 5x-7 find f(2)

Answers

Answer:

3

Step-by-step explanation:

f(x)=5x-7

for f(2) just put 2 in place of x

so,

f(2)=5(2)-7

f(2)=10-7

f(2)=3

Please help me with this question

Answers

The answer is both suravi and tori hope this helps! :) ✨

Find the 50th term of the
sequence:
65536, 49152, 36864, 27648...

A) 0.0495

B) 0.066

C) 0.088

D) 0.117

Answers

ishdiejsioaisowoeiwijsjsjd

PLEASE HELP ME!!! THANK YOU SO MUCH!

Answers

Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

What is the solution to this system of linear equations?

Answers

Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation: hope this helps

Andrew has a monthly cell phone bill. He pays a
monthly fee and a cost per minute. The graph to the
right shows his
cost per month depending on the
minutes used. What is the monthly fee for Andrew's
phone bill?
A. $49
B. $120
C. $60
D. $72

Answers

Answer:

C, $60

Step-by-step explanation:

It is where the graph starts even with 0 minutes.

The number 360 has many factors. This may be why it was chosen for the number of degrees in a full turn

Answers

Answer:

Due to having 24 divisors.

Step-by-step explanation:

360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.

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

Find each sum or difference. 31 - 42.9 =

Answers

Answer:

-11.9

Step-by-step explanation:

plz crown

Answer: 11.9

Step-by-step explanation: you have to subtract the 2 numbers

g ih even me answer please

Answers

Step-by-step explanation:

It E = 8, -3

What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?

Answers

Given:

Let us consider,

Length of a rectangular prism = 8 inches

Width = [tex]6\dfrac{3}{4}[/tex] inches

Height = [tex]5\dfrac{1}{4}[/tex] inches

To find:

The volume of the rectangular prism.

Solution:

The volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting the given values, we get

[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]

[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]

[tex]V=\dfrac{567}{2}[/tex]

[tex]V=283.5[/tex]

Therefore, the volume of the rectangular prism is 283.5 cubic inches.

Pls helpppppp for brainly

Answers

Answer:

[tex]\frac{6}{8}[/tex] or [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Convert the mixed numbers into improper fractions.

[tex]2\frac{3}{8}-1\frac{5}{8}=\frac{19}{8}-\frac{13}{8}[/tex]

Since the two fractions have the same denominator, just subtract the numerators.

[tex]\frac{19}{8}-\frac{13}{8}=\frac{6}{8}[/tex]

If required, rewrite the fraction in simplest form.

[tex]\frac{6}{8}=\frac{3}{4}[/tex]

Need help plzzz with math 20 point plzz help 20 points no links or imma report

Answers

Answer:

The answer is C

Explain:

Solve for x in the first equation.

Add 4y to both sides of the equation

3x=12+4y

12y-9x=36

Divide each term by 3 and simplify

X=4+4y/3

12y-9x=36

Replace all occurrences of x with 4+4y/3 in each equation.

-36=36

X=4+4y/3

Since -36=36 is not true, there is no solution

HELP
PLZZZ Z DONT GIVE ME A LINK

Answers

Answer:

These relationships are realted because the variable is multiplied by ten to get the function.

9cm: 90mm

12 1/4cm: 122.5mm

50cm: 500mm

88.49cm: 884.9mm

By the way, can you follow me on Brainly?

Thanks!

Find the area of each sector. Round your answer to nearest tenth

Answers

Answer:

area of 150° segment = 188.5 km²

Step-by-step explanation:

area of full circle = πr² = (3.14)(12²) = 452.16 km²

area of segment = (150°/360°)(452.16) = 188.5 km²

the area of each sector is C

PLS HELP IVE BEEN ASKING FOR 4 HOURS NOT A SINGLE PERSON HAS BEEN RIGHT ITS PAST DUE :( JUST TROLLS I WILL GIVE BRAINLIEST JUST PLS HELP

Answers

Answer:

square on the side - 7

first square on top 3

last square 10

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEE PLSSSS

Answers

Answer:

d. 2x+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the

Answers

Answer:

There are 70 trucks

Step-by-step explanation:

trucks : cars:  

5            8      

Take 112 cars and divide by 8 cars

112/8 =14

We need to multiply each number by 14

trucks : cars:  

5*14            8*14

70                112

There are 70 trucks

B. Find the perimeter of the garden when the width is
8 feet.

Answers

Answer:

10 - 16

Step-by-step explanation:

In 2016, the number of Internet users in the Middle East was about 1×108, and in Australia, it was about 3×107. Approximately how many times larger was the number of Internet users in the Middle East than in Australia in 2016?

0.03 times

0.3 times

3 times

30 times

Answers

.3 times!! the number is the middle east was about a third less than australia, and 1/3 is about .3!!

A triangle with side lengths of 21, 17, and 18 is classified as acute, obtuse, right, or equiangular?

Answers

Answer:

Acute

Step-by-step explanation:

and angle lower than 90 is acute exactly 90 is an right angle from 90 to 180 obtuse 180 to 360 reflex angle and equalateral is 60 degrees on each angle

Substitution.
-3x - 2y = -12
y = 5x - 7

Answers

Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

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