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

Which number is an integer?

Answers

Answer:

Step-by-step explanation:

Can you please specify on that question

Answer:

Integers are numbers that include the negatives, zero and positives.

Step-by-step explanation:

If you ever get confused there's a big circle chart to help you remember look for it online!! What I use to remember is visualizing a number line!

First is the real numbers, so the numbers we were taught since we were little like 1, 2 ,3, 4, 5, 6 and so on. So that's the first part of the number line.

Next is the whole numbers so you just add a zero to that number line. Whole numbers is just all of the real numbers + the number zero.

Then it's the integers so you add the left side of that number line. Integers are real numbers, whole numbers, and negatives. So basically on the number line it's the negatives , zero, and the positives.

Last it's the radicals so all parts of a number like fractions and decimals. So you can add .5 in between the numbers of that numberline.

I hope this strategy helped and if it didn't here's that circle chart!!

I really hope this did help tho!!

PLZZZZ HELP ME ,Plsss

Answers

Answer:

V = 72 ft³

Step-by-step explanation:

V = (3 x 8 x 2) + (4 x 2 x 3) = 72 ft³

Answer:

Try 1,152

Step-by-step explanation:

I think you have to multiply all the numbers and get 1,152. I'm not that good at math but.

What is the value of the expression?

−5/12+7/34

Answers

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

I forgotususjaajjajajaa

A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her
mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures
the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below.

Answers

Answer:

Volume fomlua is LxWxH, just multiply the numbers with a calculator:)

2/x-2+15/x=2/x-2 what is the LCD

Answers

Answer:

im not sure

Step-by-step explanation:

hy

Answer:

what butt to not answer

Step-by-step explanation:

how many hundreths is 8.3

Answers

Answer:

3 tenths and 0 hundreths

Step-by-step explanation:

3 is in the tenths place.

So 3 tenths.

There is no value in the hundreths place

So 0 hundreths

Find the value of x.
log8x=3

A. 512
B. 24
C.6561
D.1/512

Answers

A. 512 is the answer.

(5x - 7y + 8) + (-y + 6 - 4x) + (9 - 3x + 8y)

Answers

The answer is -2x+ 23

evaluate 9P4
A. 9
B. 362,880
C. 126
D. 3024

Answers

Answer:

3024

Step-by-step explanation:

3024

Option (D) 3024 is the permutation value is the correct answer.

What is a permutation?

A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.

For the given situation,

The value of 9P4

The formula to find permutation is

[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]

Here, n = 9 and r = 4

⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]

⇒ [tex]\frac{9!}{5!}[/tex]

⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]

⇒ [tex](6)(7)(8)(9)[/tex]

⇒ [tex]3024[/tex]

Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.

Learn more about permutations here

https://brainly.com/question/1216161

#SPJ2

Can someone please help me asap extra brainly points !!!

Answers

56.52 yards should be the circumference

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

Guys pls help me!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

The graph is moved up by 4, that is why it says +4 in the equation

Answer:

I'm pretty sure it's A

Step-by-step explanation:

If not i'm sorry but after reviewing the question i believe it is A

Hope this helps

Can u find the value of the x.

Answers

Answer:x=8

Step-by-step explanation:

x²-3x=-3x+64

- Add 3x to both sides

x²-3x+3x=-3x+3x+64

= x²=64

- Square both sides

√x²=√64

x=±8

- Since the question is asking for the positive value of x, the answer is 8.

Mr. Cole has $ 200. He keeps 3_4 of the money and divides the remainder equally between his two children. How much money does each child receive?

Answers

Answer: [tex]\$25[/tex]

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]

Remaining money is [tex]=200-150=\$50[/tex]

If $50 dollar is distributed among two-child, then each child will get

[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]

Enzo saw

45

squirrels at the park. This was

9

times as many squirrels as he saw in his yard.

Answers

Answer:

Its easy 45×9=405 simple Mental math

on Sundays,Crystal has breakfast at 8:30 a.m. her tennis lesson starts an hour and last for an hour. what time is her tennis lesson over?​

Answers

Answer:

it ends at 10:30 am

Step-by-step explanation:

if you add 2 hours to 8:30 am it equals 10:30 am

What is the Y-intercept of the simplified equation??

Answers

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

A bag of apples weighs 7 4/10 pounds.a crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit

Answers

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

What is one pair of vertical angles?

Answers

Answer:

A pair of socks is two socks, therefore a pair of verticle lines would be two vertical lines. A verticle line is the y intercept on the graph, or a stright line going from the floor to the roof. Your legs for example is a pair of verticle lines.

A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob

Answers

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

Given that :

A new watch costs $38.85a new bracelet costs $22.38

to find :

If Maddy buys both, how much does she spend ?

explanation :

we have,

watch cost = $ 38•85bracelet cost = $ 22•38

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

$ 61•23

maddy cost $ 61•23 for buys both.

Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number.

Answers

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

Step 1: Add 24 and 10 to get 34.

(34/2) * 7

Step 2: Divide 34 by 2 to get 17.

17 * 7

Step 3: Multiply 17 by 7 to get 119

119

The area of this trapezoid is 119 square units.

Answer:

119

Step-by-step explanation:

I took the quiz

You measure an obtuse angle on a protractor. If neither of the rays of the angle points at 0° or 180°, where could they point? Give the two points using degrees and explain why you chose those points.

Answers

Answer:

Any point greater Than 0 and less than 180°

Step-by-step explanation:

Obtuse angle measures are angles which measures angles in the range between 0° and 180°. Angles which lies between these range are called obtuse angles. Hence, from the question, if the ray of points measured does not point to 0° or 180°; then, the ray of angle points could have pointed to any angle between greater Than Zero less than 180.

Hence the points could 10 and 120 or any other values which meets the obtuse angle condition.

Answer:

173-degree angle (any angle larger than 90 degrees is obtuse and why are there favorite numbers all of a sudden????)

145-degree angle (there really is no reason to choose 2 certain numbers)

Step-by-step explanation:

any angle larger than 90 degrees is obtuse, so there you go my children.

f(x) = x? What is g(x)?
g(x);
5-
(1,3)
(x
A. g(x) = (3x)2
B. g(x) = 9x2
C. g(x) = 3x2
D. g(x)= x2

Answers

Answer:

C.   g(x) = 3[tex]x^{2}[/tex]

Step-by-step explanation:

f(1) = 1    and    g(1) = 3    

g(1) is 3 times more than f(1)

So, g(x) = 3[tex]x^{2}[/tex]

Solve for the surface area

Answers

Answer:

210.7

Step-by-step explanation:

7x8 (and multiply that by 3 for the 3 sides)

7x6.1 (times 2 for the 2 sides and divided by 2 because it is a triangle)

PLZ HELP WILL MARK BRAINLIEST

Answers

(4,4) !! hope this helps!

How does an online school student go to traditional charter school during c0vid?

Answers

Answer:

mask

Step-by-step explanation:

By wearing a proper mask

help me with this please

Answers

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

In a bag, there are 16 marbles: 4 green, 2 yellow, 9 orange, and 1 blue. What is the probability of randomly choosing a green marble?​

Answers

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4

Please Help ASAP 20pts
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4. The area of the resulting triangle is ___ square cm.

Answers

Answer:

640 cm ^2

Step-by-step explanation:

40x4x4 = 640

let's say b = 20 and h = 4

1/2(20)(4) = 40

scale by 4

b= 80 h = 16

1/2(80)(16) = 640

You leave home and walk 3 blocks east, then 4 blocks north. How far are you from

home?

Answers

I believe the answer would 5 blocks

If you go 3 blocks East and 4 north, they are like the straight sides of a triangle, so to find the diagonal distance, or the shortest distance, you would find the diagonal side of a triangle it is
A squared + B squared = C squared

So 3x3 = 9
And 4x4 = 16
16+9=25
And the square root of 25 is 5

Please correct me if I am wrong and have a good day

Which expression represents the difference of (6x - 5) - (-x - 4)?

Answers

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

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