the sum of the 10th and 11th terms of an arithmetic sequence is 65 what is the sum of its first 20th terms​

Answer:

49(17 + 3)

Step-by-step explanation:

The Distributive Law says [tex]a(b+c)=ab+ac[/tex].  But it can be used in the other direction,  [tex]ab+ac=a(b+c)[/tex].  That way, you look at ab and ac to find the common factor a.  What's playing the role of  a  in the expression 49 x 17 + 49 x 3?  It's 49, the factor that shows up twice.  That's the factor that can be taken outside the parentheses.

49 x 17 + 49 x 3 = 49(17 + 3)

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Answer:

x = -2y

y-intercept: ( 0, 0 ) and slope: [tex] \frac{1}{2} [/tex]

ANSWERS ARE AT THE BOTTOM

To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.

Algebraic form:

8 + 2x = 28

Lets solve this!

8 + 2x = 28            (Algebraic Form)

2x = 28 - 8             (Subtract 8 from both sides)

2x = 20                  (Divide by 2)

x = 10                     (Answer)

ANSWER:

x = 10

Answer:

245 +4.9m = 2000

Step-by-step explanation:

so 245 is what he has and he puts it where he gets 2 percent monthly so 4.9 is 2 percent of 245. 2000 is there because that's how much he wants to save.

A function assigns the values. The inverse of the function is y = (x+5)/2.

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of the function, the function is needed to be solved for x, and then replace x with y and vice versa. Therefore, the inverse of the function will be,

f(x) = y = 2x - 5

y = 2x - 5

y + 5 = 2x

x = (y+5)/2

y = (x+5)/2

Hence, the inverse of the function is y = (x+5)/2.

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Step-by-step explanation:

area of shaded area = area of larger circle - area of smaller circle

a = pi * (r+7)^2 - pi * r^2

a = pi * r^2 + 14pi*r + 49* pi - pi * r^2

pi r^2 cancels

a = 14*pi*r + 49 *pi

a = 7pi(2r + 7)

Answer:

14πr + 49π

Step-by-step explanation:

Logically, to find the area of the border of a circle, we need to find both the area of the inner circle [not including border] and the area of the outer circle [including border]

Once we have found these two areas,  we find the difference (difference meaning subtraction) between the two values.

We know that the area of a circle = πr²

We can use this formula to find the area of both circles.

Inner circle:

πr²

(cannot be simplified further)

Outer circle:

π(r + 7)²

(r + 7)² = (r + 7)(r + 7) = r² + 7r +7r +49 {FOIL method}

  outer       -   inner

π(r² + 14r + 49) - πr²

π (r² +14r +49)= πr² + 14πr + 49π

πr² + 14πr + 49π - πr²

πr² - πr² = 0

So, the area of our border is: 14πr + 49π

hope this helps!!

(also, you don't have to, but marking brainliest gives you some of your points back anyway)

Let's see

Answer:

53 the correct answer off your question.

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} [/tex]

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]

[tex] = 2( {2}^{2} {x}^{2 + 2} )[/tex]

[tex] = 2(4 {x}^{4} )[/tex]

[tex] = 8 {x}^{4} [/tex]

The answer is A.

Answer:

x=8

Step-by-step explanation:

4x+10 = 2x+26

4x-2x+10=2x-2x+26  [Subtract 2x from both sides]

2x+10=26

2x + 10 - 10 = 26 - 10  [Subtract 10 from both sides]

2x = 1

2x/2 = 16/2  [Divide both sides by 2]

x = 8

CHECK:

Does 4x+10 = 2x+26 when x is 8?

4(8)+10 = 2*(8)+26  ?

32+10 = 16+26    ?

42 = 42   YES

Answer:

[tex]\large \boxed{\sf x =8}[/tex]

Explanation:

[tex]\sf \rightarrow 4x + 10 = 2x + 26[/tex]

collect like terms

[tex]\sf \rightarrow 4x -2x = 26-10[/tex]

subtract like terms

[tex]\sf \rightarrow 2x = 16[/tex]

divide both sides by 2

[tex]\sf \rightarrow x = 8[/tex]

Answer:

True

Step-by-step explanation:

Step 1: We can plug 106 into x in the equation x - 62 = 44.

Step 2: Check if 106 - 62 = 44. It’s correct, so the answer is TRUE!!

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:True [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x - 62 = 44[/tex]

[ add 62 on both sides ]

[tex]\qquad \tt \rightarrow \: x - 62 + 62 = 44 + 62[/tex]

[tex]\qquad \tt \rightarrow \: x = 106[/tex]

The proved value is same as that of statement, hence the statement is correct.

Answer:

A

Step-by-step explanation:

Givens

y2 = 15

y1 = 0

x2 = 3

x1 = 0

Equation

slope = (y2 - y1) / (x2 - x1)

Solution

The question is a bit unfair. It looks like you should be answering one. It's not true. What makes it not so is that the axis (x and  y) have different intervals.

Substitute the givens into the equation

slope = (15 - 0) / (3 - 0)

slope = 15 / 3

slope = 5

Answer Slope = 5 or A

Answer:

it's A

Step-by-step explanation:

that's what i put on that question

Answer:

D

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, - 2 ) , then

y = a(x - 3)² - 2

to find a substitute the point (4, 3 ) into the equation

3 = a(4 - 3)² - 2 ( add 2 to both sides )

5 = a × 1² = a

the coefficient of the squared expression is 5

Answer:

40 miles

Step-by-step explanation:

10X4

The answer is 40 miles

-------------------------------------------------------

If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.

ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

A current liability is a liability that is payable within 12 months or one year.

On the other hand, a long-term liability is a liability that is payable after 12 months or one year.

Since $1 million is payable in each of the next five years, this implies $1 million is payable within one year while $4 million is payable after one year.

Therefore, ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

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[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]

↓

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]

[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

Cancel 2

[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-4 }[/tex]

[tex]\sf{-1+5=1+7-4}[/tex]

[tex]\sf{4=1+7-4}[/tex]

[tex]\sf{4=8-4}[/tex]

[tex]\sf{4=4}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

Step-by-step explanation:

Ratio and proportion:

   [tex]\sf \dfrac{x}{3}=\dfrac{6}{9}\\\\ x = \dfrac{6*3}{9}\\\\x = 2[/tex]

[tex]\sf \dfrac{8}{y}=\dfrac{6}{9}\\\\Cross \ multiply,\\\\y*6=9*8\\\\y=\dfrac{9*8}{6}\\\\y=3*4\\\\\bf y = 12[/tex]

[tex]\sf \dfrac{a}{15}=\dfrac{6}{9}\\\\a =\dfrac{6}{9}*15\\\\a=2*5\\\\\bf a = 10[/tex]

Answer:

120°

Step-by-step explanation:

x = angle       supplement = 180-x

x = 4(180-x) -120

x = 720 -  4x - 120

5x = 600°

x =120°

Answer:

(7,7.5)

Step-by-step explanation:

midpoint formula:

(10+4)/2=7

(6+9)/2=7.5

(7,7.5)

Firstly, let’s assume the the whole capacity the work requires is 1.

Then, let’s see how 1 man can do in 50 days: 1/5.

Further, let’s see how 1 man can do in 1 day : 1/(5×50) = 1/250.

Similarly, let’s see how 1 woman can do in 1 day: 1/(10×50) = 1/500.

Now, we have 8 men, and they can do 8*1/250 in 1 day, which is 4/125.

Besides, we have 4 women, and they can do 4×1/500 in 1 day, which is 1/125.

Therefore, all people we have can do 4/125 + 1/125 of the work in 1 day, which is 1/25.

As a result, the work takes 1/(1/25)= 25 days.

The values of x that would result in the given expression being equal to 0 is -2, 6

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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Answer:

-8 or -1

Step-by-step explanation:

x*2+9x+8=0

(x+8)(x+1)=0

x+8=0 or x+1=0

x= -8 or x= -1

Answer:

x1 = 4 y x2= 2

Step-by-step explanation:

escuchame

x2 - 5x -6 = 0

(4)^2 - 5(2) - 6 = 0

16 - 10 - 6 = 0

6 - 6 = 0

de nade :)

Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

Answer: 48

Step-by-step explanation:

We need to find the least common multiple of 12 and 16.

Finding the prime factorizations of 12 and 16,

[tex]12=2^{2} \times 3\\\\16=2^{4}[/tex]

Thus, the least common multiple is [tex]2^{4} \times 3=\boxed{48}[/tex]

Answer:

LM=25

MN=12

Now,

(M एउटै विन्दु हो)

LM+MN= LN

25+12=37

Answer:

1(x - 2xz - 2xy + 4y²)

Step-by-step explanation:

I notice that no term all of them have. which means itbwill be factorised via 1.

1(x - 2xz - 2xy + 4y²)

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}[/tex]

Therefore:

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

[tex]\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]

[tex]\implies S_{20}=32.58609013...[/tex]

[tex]\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)[/tex]                    

General form of geometric progression

On comparing to the summation

Apply Sum formula

[tex]\boxed{\sf S_n=\dfrac{a(1-r^n)}{1-r}}[/tex]

[tex]\\ \implies \sf S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]

[tex]\\ \implies\sf S_{20}=32.586[/tex]

[tex]\\ \sf\mplies S_{20}=32.59[/tex]