Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?

Answers

Answer 1

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer 2

Answer:x=7

Step-by-step explanation:


Related Questions

How would this question be solved?

Answers

Answer:

it would be solved by it mom

Question is on the picture ​

Answers

Answer:

B. 30/65 and experimental

Step-by-step explanation:

30/65 is your answer

write the number twenty-nine million sixty thousand​

Answers

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

ax4 + bx2 + c=0 (a>0) (c>0)
The quadratic equation has two solutions If
1)b2>4ac
2) b2-4ac>0

Answers

The quadratic equation has two solutions if b^2 - 4ac > 0

Given the equation ax^4 + bx^2 + c=0

Let P = x^2

Substitute into the formula to have:

a(x^2)^2 + bx^2 + c =0

The equation becomes aP^2 + bP + c = 0

For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0

learn more on discriminant here; https://brainly.com/question/1537997

It’s a khan academy problem I have trouble with

Answers

Answer:
-32g

Hope this helps

Plzzzz help mee plzzzzz plzzzzz

Answers

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

please please help for brainlist !!!!!!!!

Answers

f(x) is linear.

g(x) is exponential.

F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.

Hope this helps!

stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.

Answers

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

compare 8/11 to 3/5

PLEASE HELP !!!

Answers

Rewrite both fractions with a common denominator:

8/11 x 5 = 40/55

3/5 x 11 = 33/55

40/55 is greater than 33/55 so 8/11 is greater than 3/5

PLSS HELP whats 4.922 rounded to the nearest hundredth PLS​

Answers

Answer:

4.92

Step-by-step explanation:

Answer: 4.92

Step-by-step explanation:

To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.

Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.

So we have 4.922 with last decimals being 2.

Therefore, we do not add and keep last decimals before the same.

Answer is 4.92

Help!! And stop with the links!!!!!

Answers

Answer:

  3, 5, 2, 1, 4

Step-by-step explanation:

In step 2, parentheses are eliminated: distributive property.

In step 3, x is subtracted: subtraction property.

In step 4, 12 is added: addition property.

In step 5, the equation is divided by 17: division property.

__

The properties are listed in the order of statements ...

  3, 5, 2, 1, 4

someone pls pls help ​

Answers

Answer:

4√2 cm

Step-by-step explanation:

ABCD is a square.

Each side measures 8 cm.

So,

AB = BC = CD = AD = 8 cm

P, Q, R, and S are mid - points of ABCD.

P is the mid - point of AB.

So,

AP = PB

AP + PB = AB

AP + AP = AB

2AP = 8

AP = 8 / 2

AP = 4 cm

S id the mid - point of AD.

So,

DS = SA

DS + SA = AD

SA + SA = AD

2SA = 8

SA = 8 / 2

SA = 4 cm

Property of a square : The angle between two sides is 90°.

So,

The angle between side SA and AP is 90°.

So,

SA, AP and SP forms a right angled triangles.

By Pythagoras theorem,

( SP)² = ( SA )² + ( AP )²

( SP )² = 4² + 4²

= 16 + 16

( SP )² = 32

SP = √32

SP = 4√2 cm

Since PQRS is also a square.

In square, all sides are equal.

So,

PQ = QR = RS = SP

Since SP = 4√2 cm

Hence,

PQ = 4√2 cm

Therefore,

the length of PQ is 4√2 cm.

Answer: 5.7

Step-by-step explanation:

Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.

So the midpoint of AB is:

8/2=4 = BP

Since Q is also a midpoint so BQ is equal to 4.

We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.

The hypotenuse of the triangle is PQ.

Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.

P's Theorem : a²+b²=c²

basically in the case of this question it means:

(BP)²+(BQ)²=(PQ)²

now we just subsiture the values and solve for PQ:

4²+4²=(PQ)²

16+16=(PQ)²

32=(PQ)²

PQ=5.65...

= 5.7(rounded to one decimal place)

Plzzzz help meee plzzzzzzz

Answers

Answer:

the answer is d

Step-by-step explanation:

What is the slope of the line containing the point (34,-27) and (14, 37)

Answers

The slope of the line is 64/-24. That reduces to 8/-3.

Use the formula, Y2-Y1/X2-X1.

Step-by-step explanation:

where slope is equal to y2-y1/x2-x1

question math genius help but preparation for tmrw math exam
a) 2x-y-3=0,4x+y-3=0
lots of thx if u helped ​

Answers

Step-by-step explanation:

make sure to number your equations

[tex]2x - y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: (1)[/tex]

[tex]4x + y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)[/tex]

In equation 2 make y the subject

[tex]y = - 4x + 3 \: \: \: \: \: \: \: \: \: (3)[/tex]

subs 3 into 1

[tex]2x - ( - 4x + 3) - 3 = 0[/tex]

[tex]2x + 4x - 3 - 3 = 0[/tex]

[tex]6x - 6 = 0[/tex]

[tex]6x = 6[/tex]

[tex]x = 1 \: \: \: \: \: \: \: \: \: \: \: (4)[/tex]

sub's 4 into 2

[tex]4(1) + y - 3 = 0[/tex]

[tex]4 + y - 3 = 0[/tex]

[tex]y = - 4 + 3[/tex]

[tex]y = - 1[/tex]

Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems

Answers

Answer:

7

Step-by-step explanation:

25% of 28 =

= 0.25 × 28

= 7

Answer: 7

0.25x28

25 percent becomes 0.25 when u multiply it with 28 it equals to 7 so 7 is the answer

Y= -2x+4 in function notation

Answers

Answer:

Hello!!!

[tex]y = - 2x + 4 \\ 0 = - 2x + 4 \\ 2x = 4 \\ x = 2[/tex]

Step-by-step explanation:

That is the answer :D

A school bookstore has the following items for sale.

A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.

Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.

$
11.56


Part B
Traci uses partial products to find the cost of 14 pencils.

A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.

Which explains whether or not Traci’s partial products are correct?



Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.



Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.



Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.



Traci's partial products are correct. The actual cost is $22.40.

Answers

It’s cost a total of 8 dollars

Solve -2.5n + 8.7 > 5.45.

Answers

Answer:

Solved for n: n < 1.3

Step-by-step explanation:

Are there answer choices included?

What are the domain and range of each relation?
Drag the answer into the box to match each relation.

Answers

Answer:i cant see it that well its blurry

Step-by-step explanation:

Answer:

The domain of the graph is {-3, -1, 1, 4}. The range of the graph is {-4, -1, 1, 4}

The domain of the set of ordered pairs is {-4, -3, 1}. The range of the set of ordered pairs is {1, 3, 4}

Step-by-step explanation:

Store A sells a set for $25 and offers 10% discount. Store B sells a set for $27 and offers 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from LOWEST to HIGHEST price for a set of paintbrushes.

Answers

Answer: store B store C store A

Step-by-step explanation: by multiplying the amount the price is with the sale which is .9 for 90% .8 for the 80% and .85 for the 85% by the previous amount you can find how much it is after the sale

The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?

Answers

1638595973726949577273

Please answer my question

Answers

Answer:

y=14x

Step-by-step explanation:

what is 7829 to the nearest 1000

Answers

Answer:

8000

Step-by-step explanation:

Since 8 is bigger than 5, you can increase it

7829 to the nearest ten: 7830

7829 to the nearest hundred: 7800

Hope this helps!

The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.

How do round any digit?

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,7829

9 → unit place

2 → tens place

8 → hundred place

7 → thousand place

In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.

Since 829 > 500 so 7829 → 8000

Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".

To learn more about rounding a digit,

https://brainly.com/question/116595

#SPJ2

Could somebody please help with this?

Answers

the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)

the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)

Classify the following polynomial function, −3x(x2−4)(2x2+5)based on degree and number of terms.

Answers

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]

So, there are 3 terms, which is a trinomial.

Help! What is 5 - x = 8

Answers

Answer:

x = -3

Step-by-step explanation:

hope this helps!!

3x-6y=2 and 4x-6y=2 solve by substitution

Answers

first you have to choose one of the equations and isolate one of the variables

3x - 6y = 2

-6y = 2 - 3x

y = 2/-6 + 1/2

then you have to substitute it in the other equation

4x-6(2/-6 + 1/2) = 2

4x + 2  - 3 = 2

4x - 1 = 2

4x = 3

x = 3/4

after that you solve for y

3 (3/4) - 6y = 2

9/4 - 6y = 2

-6y= - 1/4

y= 24

THIS MAY NOT BE RIGHT BTW

If you don’t answer it correctly then don’t mind answering

Answers

The answers are underneath each problem. The reason this makes sense is  due to the distributive property.

27. GCF of 27 and 12 is 3

3(4+9)

28. GCF of 12 and 36 is 12

12(1+3)

29. GCF of 16 and 20 is 4

4(4+5)

30. GCF of 2x and 8 is 2

2(x+4)

31. GCF of 30 and 12x is 6

6(5+2x)

32. GCF of 42x and 49 is 7

7(6x+7)

To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF

solve: 3(2x+7) S 6(x-4)

Answers

Answer:

no solution

Step-by-step explanation:

3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3

2x + 7 ≤ 2(x - 4)

2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )

7 ≤ - 8 ← False statement

This means the inequality has no solution

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