If the information given below represents an arithmetic sequence


a1= 49 and a8= 14 find:


d =


a27=



WILL AWARD BRAINLIEST

Answers

Answer 1

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.


Related Questions

In circle 0 points P, Q, and R lie on the circle. Which of the following would not be a chord
of the circle?
OP
QP
RP
QR

Answers

Answer:

OP

Step-by-step explanation:

A chord is a segment whose extremes lie on the circumference

OP is a radius because has an extreme that is the center of the circumference and a radius is not a chord

i think the answer is OP. good luck

Please help me! i have to find the cube root

Answers

Answer: 7/4

Step-by-step explanation:

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

Someone help me with number 5 ASAP please and thank you

Answers

Answer:

70

Step-by-step explanation:

please help fast, thanks !

Answers

Answer:

a) 0.8

b) 0.3

c) 0.9

d) 0.95

Step-by-step explanation:

A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).

So:

1 - 0.2 = 0.8

1 - 0.7 = 0.3

1 - 0.1 = 0.9

1 - 0.05 = 0.95

Hope this helped!

please someone help me with this

Answers

Answer:

260 cm³

Step-by-step explanation:

Full surface area:

S = 3(6*10) + 2(1/2*8*10) = 260 cm³

Answer:

Surface Area = Surface Area of triangle + SA of rectangle

Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10

Surface Area = 3 × 60 + 80

Surface Area = 180 + 80

Surface Area = 260 cm ³

[tex] \\ [/tex]

ebuka is twice as old as John,if ebuka is 24, how old is John​

Answers

48 is the answer... 24 times two
John is 12 years old.

Explanation:

Let John’s age be x and Ebuka’s age be y

y = 2x (Ebuka is twice as old as john)
x = y/2

When y = 24 (Ebuka is 24)
x = 24/2 = 12

Find the common difference for an arithmetic series with
a1=5 and S10 = 320.

Answers

Answer:

6

Step-by-step explanation:

Let [tex]n = a_{10}[/tex]. We know the formula for the sum of an arithmetic sequence is:

[tex]S_{n} = \frac{n(a_{1}+a_{n} )}{2}[/tex]

Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:

[tex]320=\frac{10(5 + n)}{2}[/tex]

[tex]640=10(n+5)\\64=n+5\\n=59[/tex]

The formula to find the nth term of an arithmetic series is:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Where d is the common difference. Again, we can plug in what we have;

[tex]59 = 5 + 9d\\9d = 54\\d = 6[/tex]

Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39

Answers

The number is 18 ………,,……..
18 because if it’s jumping by 7 you would just add seven

Someone please help :0

Answers

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

Answer:

Step-by-step explanation:

8m +95 < -87m +5

8m +87m < 5-95

95m < -90

m < -90/95

m < -18/ 19

What is that number in scientific notation form??

Answers

Answer:

D. 3.7 × 10⁶

Step-by-step explanation:

3.7 × 10⁶

3700000

Is this a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

it has a 90 degree angle

4+2(17-12) !!!!!!!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

Use Pemdas

Solve in parentheses:

17 - 12 = 5

Multiplication:

2 * 5 = 10

Addition:

10 + 4 = 14

Answer is 14

Answer: 14

Steps:

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

Calculate within parentheses (17 − 12 ) : 5

[tex]=4+2\cdot \:5[/tex]

Multiply and divide (left to right) 2 · 5 : 10

[tex]=4+10[/tex]

Add and subtract (left to right) 4 + 10 : 14

=14

#[tex]AnimePower[/tex]

PLEASE HELP WITH GEOMETRY!!

Answers

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

How would this look in standard notation??

Answers

68000. The reason this is the answer is because you have to move the decimal point to the right 3 times since it’s x3

Jimmy's Bakery sold 950 donuts last week. This week, the number of donuts sold increased 12%. How many more donuts were sold this week?

Answers

Answer:

114

Step-by-step explanation:

12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.

PLEASE ANSWER!!! DUE TOMORROW!!

Answers

the top one is the answer

The temperature of the water in a coffeepot does not exceed 210 ° Fahrenheit. Let t be the temperature of the water in the coffeepot. Question Move a number, a variable, and a symbol to the line to create an inequality that represents this situation.

Answers

Answer:

t ≤ 210°

Step-by-step explanation:

If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).

Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°

Which value is equivalent to
3/11?
OA A. 0.27
O
B. 0.27
OC
C. 3.6
OD. 3.

Answers

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.27

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.27 I am guessing you can chose!

Hope this helps!

4x-36<-12
i need help on this

Answers

Answer:

x<6

Step-by-step explanation:

4x-36<-12

Add 36 to each side

4x-36+36<-12+36

4x < 24

Divide each side by 4

4x/4 < 24/4

x<6

Answer:

x<6

Step-by-step explanation:

Reverse order of operations SADMEP

4x<24 (add 36 to both sides)

x<6 (divide both sides by 4)

The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.​

Answers

Step-by-step explanation:

Let b is breadth and l is length of the cuboid such that,

Length, l = 3b and l = 2h

or

h = l/2

We know that, the volume of a cuboid box is given by :

V = lbh

Put all the values,

[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]

Breadth, b = 16.5/3 = 5.5 cm

Height, h = 16.5/2 = 8.25 cm

Hence, this is the required solution.

Determine the missing side length of the triangle please and thank you!

Answers

Answer:

90

Step-by-step explanation:

It is a right angle

Answer:

8.944

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]

Help quick please !!!!!!!

Answers

Answer: y=3x

Step-by-step explanation:

Remember rise over run so go up until the next perfect cross and over. In this case you go up 3 and over 1

Hope this helps

The answer is y=3x lololdjjdjd

15. Use the Pythagorean Theorem to find the missing
measure.
26 cm
a
24 cm
a.
b.
2 cm
100 cm
10 cm
d. 35.38 cm
c.

Answers

Answer:

The missing figure is 26 cm.

Step-by-step explanation:

The Pythagorean theorem consists of a formula [tex]a^2+b^2=c^2[/tex]

Therefore, the missing figure is 26 cm.

PLEASE HELP WILL GIVE BRAINLIST​

Answers

Answer:

B

Step-by-step explanation:

∠ 3 and ∠ 8 are alternate angles and are congruent, then

6x + 3 = 4x + 29 ( subtract 4x from both sides )

2x + 3 = 29 ( subtract 3 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 → B

A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in simplest form.

Answers

Answer:

11/16

Step-by-step explanation:

9+2+5=16

9+2=11

11/16

Answer:

You use ratios to determine, so to find blue crayons it will be 16/2 chance of finding a blue crayon since there are 16 crayons and 2 blue crayons, and simplified it will be 8/1, you can find out the red crayon also by doing the same thing, since you are trying to get a red or blue crayon it will be 11/16 chance of finding a blue or red crayon.

Suppose 42 gallons of water came out of a pipe in 6 minutes. What was the rate in gallons per minute?

Answers

Answer:

7 gallons per minute.

Step-by-step explanation:

42 / 6 = 7

Answer:

7 gallons per minute.

Step-by-step explanation:

42 divided by  6 = 7

and if you multiply 6 and 7 you will get 42

HELP NOW! WILL GIVE ALL! FIND THE VOLUME OF EACH FIGURE. ROUND YOUR ANSWERS TO THE NEAREST 10TH, IF NESSISARY.

Question 6 options:

1572 yd3

1272.3 yd3

1197.9 yd3

5089.4 yd3

Answers

Answer:

1272.3 yd^3

Step-by-step explanation:

Radius = 9 yd

V = radius^2 x pI x height = 9^2 x 3,14 x 5 = 1272.3 yd^3

PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT

Answers

From what I can tell from this problem, 130° and y° look to be both on the same 180° horizontal line. To find what y is, you just gotta subtract 130 from 180 and you get 50°. So y° is really, 50°.

Now for the x°. Even though we don't know what the numbers add up to in this diagram, let's assume since all triangles add up to 180° (and quadrilaterals are comprised of two triangles), that all angles of this quadrilateral are supposed to equal 360°. All you have to do is add the 123°, 60°, and 50° together to get 233°, now just subtract 233° from 360°, and your answer is 127°.

By the way my math might be a little off but I hope this helps you understand it. I hope.

without plotting the points indicate the quadrant in which they will lie,if
a)ordinate is 5 , abcissa is -3
b)abcissa -5 and ordinate is -3
c)abcissa is -5 and ordinate is 3
d)abcissa is5 and ordinate is 3

Answers

Answer:

a) 2nd quadrant

b) 3rd quadrant

c) 2nd quadrant

d) 1st quadrant

Step-by-step explanation:

When we talk about ordinate, we mean the y axis value

abscissa is the x axis value

There are four quadrants with the following distribution of signs;

1st quadrant: positive x and positive y

2nd quadrant: negative x and positive y

3rd quadrant; negative x and negative y

4th quadrant ; positive x and negative y

a) (-3,5)

negative x and positive y; this is the 2nd quadrant

b) (-5,-3)

Negative x and negative y, this is the 3rd quadrant

c) (-5 , 3)

Negative x and positive y; 2nd quadrant

d) (5,3)

Positive x and positive y; 1st quadrant

If −12 − 2x = −42, then 3x = _____?

Answers

Answer:

-2x =-42+12

-2x =-30

x =15

3x=15×3

=45

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