if the 6th term of an A.p is 11and its first term is 1 find the common diferent​

Answers

Answer 1

Answer:

2

Step-by-step explanation:

In an AP, Tn = a + (n - 1)d

T6 = a + 5d = 11

The first term = a = 1

∴ T6 = 1 + 5d = 11

5d = 11 - 1

5d = 10

∴ d = 2

I hope this will help you :-)

Answer 2

Answer:

[tex]x6 = 11 \\ x1 = 1 \\ x6 \: can \: be \: written \: as \: x6 = x1 + 5d \\ x6 = 1 + 5d \\ 11 = 1 + 5d \\ 10 = 5d \\ d = \frac{10}{5} \\ d = 2 \\ thank \: you[/tex]


Related Questions

The perimeter of a rectangle is
144 inches. The width is 8 inches
less than the length

Answers

Rectangle perimeter formula is A=2(w+l)
We would take length as “x”.
Then width would be x-8, in case that it is 8 inches less than length.
After that, we would switch parameters in formula and we would get:
A = 2 (w+l)
144 = 2*(x-8+x)
144 = 2*(2x-8)
144 = 4x - 16 ((2*2x)-(2*8))
144 + 16 = 4x
160 = 4x
X = 160:4
X = 40.

Then length is 40, and width is 40-8=32.

6 - 0.75 x 1/10
^
fraction

Answers

Answer:

the answer of this question is 0.525

Answer:

[tex] \frac{3}{40} [/tex]

Step-by-step explanation:

[tex]0.75 \times \frac{1}{10} [/tex]

➡️ [tex] \frac{75}{100} = \frac{3}{40} [/tex]

➡️ [tex] \frac{3}{4} \times \frac{1}{10} [/tex]

➡️ [tex] = \frac{3 \times 1}{4 \times 10} = \frac{3}{4 \times 10} [/tex]

➡️ [tex] = \frac{3}{40} [/tex] ✅

At the county fair, 12% of the
people who attended received
free water bottles. If 1,500 people
received free water bottles, how
many people went to the fair?

Answers

Answer:

12,500 people went to the fair.

Step-by-step explanation:

Set up an equation:

Variable x = number of people who went to the fair

12/100 = 1500/x

Cross multiply:

12 × x = 100 × 1500

12x = 150000

x = 12500

Check your work:

12500 × 12%

Convert percentage into a decimal:

12500 × 0.12

1500

1500 people received water bottles so this is correct!

Add −1.25+2.5

Plot the addend on the number line





I need the answers to 1.04 adding decimals.
1. -1.25+ 2.5
plot the addend number on the number line
2.

Answers

Answer:

Add −1.25+2.5 Plot the addend on the number line I need the answers to 1.04 adding decimals ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

Plot the numbers -1.25 and 1.25

Step-by-step explanation:

You have to plot these two numbers on the number line.

What is the value of the expression 6( -5 1/4 ?

Answers

Answer:

-63/2

Step-by-step explanation:

6( -5  1/4)

= 6(-21/4)

= -63/2

Describe 2 ways to find the area of the shaded rectangle

Answers

Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.

What is the percentage change from 17 to 74

Answers

Answer:

= 22.97.

Step-by-step explanation:

If 2^10 + 2^10 = 2^x, what's x?

Answers

Answer:

11

Step-by-step explanation:

2^10 + 2^10 = 2^x

1024 + 1024 = 2^x

2,048 = 2^x

x = 11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I need answer pls help

Answers

Answer:

A

Step-by-step explanation:

Cuz

Write an equation for the line that is parallel to 8x + 2y = 4 and goes through (0,7)​

Answers

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

ILL MARK BRAINIEST IF YOU CAN DO THIS CORRECTLY!!!

Answers

Answer:

76/100

Step-by-step explanation:

19/25 * 4/4=76/100

Please help me with this question:)

Answers

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

help!!!!! asap!!! ill mark brainlist!

Answers

Answer:

9.013, 9.13, 9.1342, 9.2

Step-by-step explanation:

What is the median of the following data values?
17, 19, 20, 21, 22, 25, 29, 30, 32, 35
O A. 24.5
O B. 22
O c. 25
O D. 23.5

Answers

Answer:

[tex]\boxed {\boxed {\sf D. \ 23.5}}[/tex]

Step-by-step explanation:

The median is the number in the middle of a set of data. To find, we place the numbers in order from least to greatest and pick the middle number.

The data set is:

17, 19, 20, 21, 22, 25, 29, 30, 32, 35

This is already in order from least to greatest, so we can begin removing numbers from each side of the list until the middle is reached.

19, 20, 21, 22, 25, 29, 30, 3220, 21, 22, 25, 29, 30 21, 22, 25, 2922, 25

Now we have 2 numbers that are in the middle. To find the median, we take the mean or average of these 2 numbers. Add them together, then divide by 2.

22 + 25= 4747/2 = 23.5

The median of this data set is 23.5 and choice D is correct.

A city has a population of 310 000 of people. Suppose that each year the population grows by 7.25%. What will the population be after 12 years?

Answers

This is an exponential growth problem.

The equation is: total = start value x ( 1 + rate)^time

Total = 310,000(1 + 0.0725)^12

Total = 718,008

Answer: 718,008

what is this pls help me​

Answers

Answer:

D’=(3,3); F’=(-2,-2); E’= (-5,0)

Step-by-step explanation:

To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.

*7th grade math* ts confusing yall.

Answers

It should already be correct

The additive inverse of 5/8 is 5/-8 (m)

Additive inverses equal each other out when added
5/8 + m = 0

Please mark brainliest

Factor this polynomial completely.
x2 - 8x + 16

Answers

Answer:

The choose B. (x-4)(x-4)

I hope I helped you^_^

Answer:

B.(x-4)(x-4)

Step-by-step explanation:

x²-8x+16

(x²-4x)(-4x+16)

x(x-4)-4(x-4)

(x-4)(x-4)

Which equation is a function of x?

Answers

Answer:

If you input a value of x then we get the output f(x) = y, which is the function of x. This is a function of x. Hence, x² = y is a function of x.

i can't answer this question for pre-algebra (9^3)6 =

Answers

Answer:

9^18

Step-by-step explanation:

We know that a^b^c = a^(b*c)

(9^3)^6

9^(3*6)

9^18

y-3 = 2(x+1)
fiind the missing value ?

Answers

Step by step process:

Let's solve for x.

y−3=2(x+1)

Step 1: Flip the equation.

2x+2=y−3

Step 2: Add -2 to both sides.

2x+2+−2=y−3+−2

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2)

Answer: x=1/2y+(−5/2)

Let's solve for y.

y−3=2(x+1)

Step 1: Add 3 to both sides.

y−3+3=2x+2+3

y=2x+5

Answer:

y=2x+5

pls help it’s due in 20 minutes solve by using PEMDAS

Answers

Answer:

23

Step-by-step explanation:

2a/3 + 13 where a = 15

Step 1. Substitute a for 15

2(15)/3 + 13

Step 2. Multiply

30/3 + 13

Step 3. Divide

10 + 13

Step 4. Add

23

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

2,8,18,32,50,72 which term is the sequence is 512?

Answers

Answer:

16

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

Simplify
(m^3)^6 - m^18

Answers

Answer:

x

2

+

x

7

x

+

2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

m^18 - m^18 (using power law of indices)

0

Help help help help me pls !,!,!,

Answers

Answer:

96

Step-by-step explanation:

First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.

Evaluate each expression.

Answers

1/81 because 1/3*1/3*1/3*1/3= 1/81
It would be 1/81, you put the fourth power on each separate number in the fraction so one to the fourth power and three to the fourth power to get 1/81.

please solve this please anyone...​

Answers

Answer:

A.

f(1.999)= 5(1.999) +1

= 9.995 + 1

=10.995

B. 11

Step-by-step explanation:

[tex]f(x) = 5x + 1 \\ f(1.999) = 5 \times 1.999 + 1 = 9.995 + 1 \\ = 10.995 \: can \: round \: in \: to \: 11 \\ thank \: you[/tex]

8x - 5y = 74
What is y and x?

Answers

Answer:

x = 11/2

   y = -x/2+35/4

Step-by-step explanation:

To which number sets would ✓16 belong? Check

all that apply.

(Select all that apply.)

Natural

Whole

Integers

Rational

Irrational

Answers

Answer:

16 is rational , interger , Whole.

Solve for j.

–9j = 6j − 2(5j + 5)

j =

Answers

Answer:

-9j=6j-2(5j + 5)

-9j-6j=-2(5j+5)

-15j=-10j -10

-15j+10j=-10

-5j=-10

-5j/-5 =-10/-5

j=2

Step-by-step explanation:

-9j = 6j - 2 (5j + 5)

-9j = 6j - 10j - 10

-9j = -4j - 10

-9j + 4j = -10

-5j = -10

j = -10 / -5

j = 2

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