WILL MARK BRAINLIEST EASY MATH PROBLEM!!! + FREE VBUCKSSS

The series converges, since |8/9| = 8/9 < 1.

Let [tex]S_n[/tex] denote the n-th partial sum of the series,

[tex]S_n=\displaystyle\sum_{k=0}^n\left(\frac89\right)^k[/tex]

[tex]S_n=1+\dfrac89+\left(\dfrac89\right)^2+\cdots+\left(\dfrac89\right)^n[/tex]

Multiply both sides by 8/9:

[tex]\dfrac89S_n=\dfrac89+\left(\dfrac89\right)^2+\left(\dfrac89\right)^3+\cdots+\left(\dfrac89\right)^{n+1}[/tex]

Subtract this from [tex]S_n[/tex] to eliminate all but the first term in

[tex]S_n-\dfrac89S_n=1-\left(\dfrac89\right)^{n+1}[/tex]

Solve for [tex]S_n[/tex]:

[tex]\dfrac19S_n=1-\left(\dfrac89\right)^{n+1}[/tex]

[tex]S_n=9-9\left(\dfrac89\right)^{n+1}[/tex]

As [tex]n\to\infty[/tex], the exponential term vanishes, so that

[tex]\displaystyle\lim_{n\to\infty}S_n=\sum_{k=0}^\infty\left(\frac89\right)^k=\boxed{9}[/tex]

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

Answer:

p = 6

Step-by-step explanation:

Divide 6 by both sides to get p. 36/6 is equal to 6

Answer:  p =6

Step-by-step explanation:

if p times 6  is 36  or   6p =36  

Then to  find p divide both sides by 6

6p = 36

p = 6

Answer:

The answer is 18.

Step-by-step explanation:

Putting it straight into the calculator as you see it gives you 18.

Answer:

18

Step-by-step explanation:

Hope this helps : )

Answer:

Step-by-step explanation:

Question (3)

The given expression is,

[tex]\frac{4(x-3)}{3}=20[/tex]

       Statements                Proof

1). [tex]\frac{4(x-3)}{3}=20[/tex]                1). Given

2). [tex]4(x-3)=60[/tex]           2). Multiplication property of equality

3). 4x - 12 = 60             3). Distributive property

4). 4x = 72                    4). Addition property of equality

5). x = 18                       5). Division property of equality

Question (4)

Equations are,

5x + 10 = 30 ------(1)

5(x + 10) = 30 ------(2)

From equation (1),

5x + 10 = 30

5x = 30 - 10

x = 4

From equation (2),

5(x + 10) = 30

(x + 10) = 6

x = 6 - 10

x = -4

Therefore, solutions of both the equations are different.

Answer:

235=30x-25

Step-by-step explanation:

235+25=30x-25+25

260=30x

260/30=30x/30

x=8.66 or 9 weeks

The equation is 30x + 25 = 235. And the number of weeks will be 7.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Greg is saving to purchase a tablet that costs $235. He as of now has $25 set aside. Every week, Greg procures $15 looking after children and $25 as a clerk, however, he burns through $10 on snacks.

Let x be the number of weeks. Then the equation is given as,

25x + 15x - 10x + 25 = 235

Simplify the equation, then the number of weeks is given as,

25x + 15x - 10x + 25 = 235

30x = 235 - 25

30x = 210

x = 210 / 30

x = 7 weeks

The equation is 30x + 25 = 235. And the number of weeks will be 7.

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Answer:

PS = 26 units

Step-by-step explanation:

Perimeter of rectangle = 94

2(4z - 2 + 3z) = 94

2(7z - 2) = 94

14z - 4 = 94

14z = 94 + 4

14z = 98

z = 98/14

z = 7

QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26

PS = QR (Opposite sides of rectangle)

PS = 26 units

Answer:

there is no sufficient evidence to prove that viscosity is not 3000

Step-by-step explanation:

Let's state the hypothesis.

Null hypothesis; H0: μ = 3000

Alternative hypothesis; μ ≠ 3000

The sample mean is;

x = (2781 + 2900 + 3013 + 2856 + 2888)/5 = 2887.6

Standard deviation σ = √variance = √[(2781 - 2887.6)² + (2900 - 2887.6)² + (3013 - 2887.6)² + (2856 - 2887.6)² + (2888 - 2887.6)²)(1/(5 - 1))]

σ = √((1/4)(11363.56 + 153.76 + 15725.16 + 998.56 + 0.16)

σ = 84.026

Formula for test statistic is given as;

t = (x - μ)/σ

t = (2887.6 - 3000)/84.026

t = -1.338

From online p-value calculator from t value attached, using DF = 5 - 1 = 4, two tail and a significance level of 0.05,we have;

The p-value is 0.251896.

This is greater than the significance level of 0.05.

Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to prove that viscosity is not 3000

Answer:

v>5

Step-by-step explanation:

you will divide by negative 8 causing the value sign to flip and that gives you 5

Answer:

3(10)+30

(-30) (the amount she lost) +22 (the amount she gained)= -8

Glados lost 8 dollars while at the mall.

Answer:

[tex]3x^{2} -5x+6[/tex]

Step-by-step explanation:

Factor the numerator and it should be [tex](x+2)(3x^2-5x+6) / (x+2)[/tex]. Cancel out both the [tex]x+2[/tex] so that the denominator becomes a 1.

Answer:

$1.51

Step-by-step explanation:

take 4.26 and subtract 2.75.

Answer:

deretos

Step-by-step explanation:

Answer:

Range: 8, 3, -7

Step-by-step explanation:

The Range is the second coordinate which is y.

Hope This Helps :)

Answer:

A conditional statement is false if hypothesis is true and the conclusion is false.

Step-by-step explanation:

Conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

Reasoning in maths is the process of applying logical and critical thinking to a mathematical problem in order to work out the correct strategy to use  in reaching a solution

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

For this conditional statement, P is called the hypothesis and Q is called the conclusion.

“If P then Q” means that Q must be true whenever P is true.

We have a conditional statement If it is raining, we will not play.

Let, P: It is raining and Q: we will not play.

Then; If P is true, that is, it is raining and Q is false, that is, we played, then the statement P implies Q is false.

Hence,  conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

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The Answer is : -2f+121

Answer:

B: (5,1)

Step-by-step explanation:

So we have the system of equations:

[tex]x+y=6\text{ and}\\y+4=x[/tex]

We can solve this system using substitution.

Substitute the second equation into the first. Use x. So:

[tex](y+4)+y=6[/tex]

Combine like terms:

[tex]2y+4=6[/tex]

Subtract 4 from both sides:

[tex]2y=2[/tex]

Divide both sides by 2:

[tex]y=1[/tex]

So, the value of y is 1.

To find x, substitute this back into the second equation:

[tex]y+4=x[/tex]

Substitute 1 for y:

[tex]1+4=x[/tex]

Add:

[tex]x=5[/tex]

Therefore, our answer is (5,1).

The answer is B.

And we're done!

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Hi there!

~

[tex]\sqrt{42}[/tex] ≈ [tex]6.4807406984087...[/tex]

So [tex]\sqrt{42}[/tex] is irrational (since the decimal portion doesn't terminate or repeat)

❀Hope this helped you!❀

☽------------❀-------------☾

(The other person copied there answer from google!)

Answer:

5.1 days

Step-by-step explanation:

[tex]3.4 \: miles = 1 \: day \\ 17.34 \: miles \: = x \: days[/tex]

Cross Multiply

[tex]3.4x = 17.34[/tex]

Divide both sides of the equation by 3.4

[tex] \frac{3.4x}{3.4} = \frac{17.34}{3.4} [/tex]

[tex]x = 5.1[/tex]

Answer:

5 Days and 1 Hour

Step-by-step explanation:

3,4 per day

So, for 17.34 miles;

      17.34/3.4 = 5 Days and 1 hour

Answer:

Step-by-step explanation:

it 28 by adding 6 +1 is 7 and times it by 4

7+3x=y I got this as the answer!

Answer:it must be irrational and not rational

Step-by-step explanation:

Answer:

3/10. 0/0_____________

Answer:

this is for the num 3 questions and above cuz im only in 4th grade and idk what this is: okay, 3: 6 times C. 4: x minus 1. 5. tdivided by 2. 6: 3 times t subtract 4

Step-by-step explanation:

Steps to solve:

2 - 10 + 8 - (-2)

~Simplify

2 - 10 + 8 + 2

~Subtract

-8 + 8 + 2

~Add

0 + 2

~Add

2

Best of Luck!

Answer:

2

Step-by-step explanation:

first you do this first (-2) then the 2 - is gone then 10 + 8- is 2

Answer:Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

33x33x33333333

Answer:

Step-by-step explanation:

1) Two planes parallel to a third plane are parallel - True

2) Two lines parallel to a plane are parallel - False

3) Two lines orthogonal to a third line are parallel - False

4) Two lines parallel to a third line are parallel - True

5) Two planes parallel to a line are parallel - False

6) Two lines orthogonal to a plane are parallel - True

7) Two lines either intersect or are parallel - False

8) Two planes either intersect or are parallel - True

9) Two planes orthogonal to a line are parallel - True

10) A plane and a line either intersect or are parallel - True

11) Two planes orthogonal to a third plane are parallel - False

Answer:

$5,830

Step-by-step explanation:

Multiply the miles by the cost per mile.

11,000 × $0.53 = $5,830

The cost to drive the car 11,000 miles is $5,830.

Answer: a.)Within your skills and abilities

Step-by-step explanation: i hope this helps :)

Knowing your personal strengths and weaknesses will help to keep your goal a. Within your skills and abilities.

Understanding what makes you tick is part of knowing yourself. It entails figuring out your priorities, talents, and limitations, as well as your habits, inclinations, and ways of thinking. The following is a list of the advantages and significance of understanding oneself

Knowing your personal strengths and weaknesses will help you

can change your personality flaws and improve on your weaknesses.

You’ll have more emotional intelligence, which is key to knowing others.

So, Knowing your personal strengths and weaknesses will help to keep your goal  Within your skills and abilities.

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Answer:

P=2(a+b)

=2(20+12)

=2×32

=64 feet

Step-by-step explanation:

The perimeter would equal 2l + 2w, which would lend to the equation 2(20) + 2(12), or 20 + 20 + 12 + 12 = perimeter.

Answer:

64ft.

Step-by-step explanation:

(20ft+20ft)+(12ft+12)= 64ft