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

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

-10 < x - 9

Reverse the equation to get x on the left side"

x-9>-10

Add 9 to both sides:

X >-1

Answer: x > -1

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *
1 point

Answers

Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372

brainlist please solve this

Answers

Answer:

D

Step-by-step explanation:

It makes sense, the others don't.

The x coordinate is the temperature, and the y coordinate is the number of cups sold.

Hope this helped! :)

please help asap!!! due tonight!!

Answers

Answer:

It might be -10:9 or 9: -10 Hope this helps :)

Write one way you can read the time. Like 3:55

Answers

first is 3:56

And is three fivety six

3:56 and is three fifty six

At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.

Answers

Answer:

6:7

Step-by-step explanation:

=store A:store B

=150:175

=6:7

This is a sketch of the curve with equation y = f(x).
The vertex of the curve is at (2, -3)
У
Х
(2, 3)
Write down the coordinates of the vertex of the curve with equation
a) f(x) + 5
b) –f(x)


help me please

Answers

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

write the slope intercept form of the equation through (2,-4) parallel to y=-1

Answers

Answer:

y = -x - 2

Step-by-step explanation:

Parallel lines have equal slopes.

Given slope, m = - 1 and point (2, -4).

Slope- intercept form:

y = mx + b

Th line will be:

y = -x + b

Substitute x and y- values of the point into equation to find the value of b:

- 4 = - 2 + bb = 2 - 4b = - 2

The line is:

y = -x - 2
y=-1y=0x-1

Slope=m=0

Parallel lines have equal slopes

Equation of line in point slope form

y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4

Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!

Answers

You can do
3 * 2 and 11 * 2 which would be 6:22 and is still equal to the ratio 3:11. Your explanation can be the when divided by 2 or the number you multiplied by, you would get the original ratio
Examples:
6:22
9:33
12:44

165% of what number is 28

Answers

Answer:

i belive it is 46.2

Step-by-step explanation:

The closest whole number is 17 at 28.05

Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP​

Answers

No as they have different interior angles

Answer:

no

Step-by-step explanation:

what is 1029384756 x55 pls help

Answers

Answer:

1029384756 x 55

= 56616161580

What's the answer please help me!

Answers

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

Name an angle adjacent to FGI
JGI

HGJ

DGE

HGE

Answers

Answer:<JGI

Explanation:

Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH

Hope this helps.

The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

90% of _______ is 18.

Answers

Answer:

20

Step-by-step explanation:

If 1=3

2=3

3=5

4=4

4=4

Then, 6=?
[tex] \: \: \: [/tex]

Answers

Answer:

6 = 3

If u write 1 in word then u will write one and if you count the letter it will give u 3 .

Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .

So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .

Hence ,

6 = 3

Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!

Answers

Answer: C. there is no solution since 4=7 is a false statement



Step-by-step explanation:

[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please ​

Answers

Answer:

The answer is 1485.875.

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]

To solve the above equation we will follow the BODMAS rule.

[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtraction

Solving this question by bodmas rule :

[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]

Hence, the answer is 1485.875.

[tex]\rule{300}{2.5}[/tex]

Someone please help me!!

Answers

Answer:

answer attached: x = 5√2

Step-by-step explanation:

Answer:

Step-by-step explanation:

All of the right triangles are similar. This means ...

  long side / short side = x/2 = 25/x

Multiplying by 2x gives ...

  x² = 25·2

  x = (√25)(√2)

  x = 5√2

_____

Additional comment

The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.

There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.

Left side = √(2·27) = 3√6

Bottom side = √(25·27) = 15√3

PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.



Determine the range of the following graph:

Answers

Answer: -5 to 8

Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range

Tanisha is hiring 3 musicians for her
birthday party. Each musician charges a
Travel fee of $30 plus an additional $65
per hour. Write an expression that
represents how much money Tanisha will
have to pay all three musicians after
hiring them for x amount of hours.

Answers

Answer:

y=65x+30

Step-by-step explanation:

Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept

Solve the following for :
60/3=x/4

Answers

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

HELP! I need answers to every question

Answers

Ok done. Thank to me:>

Which statements are true for a reflection? Choose all that apply. ________________________________________________________________________________________________________________________________________


The distance between corresponding points in the image and pre-image is constant.

The orientation of points on the polygon is preserved by the transformation.

The angle measures between sides on the polygon are preserved by the transformation.

The distances between points on the polygon are preserved by the transformation.

Answers

Answer:

The last 2

Step-by-step explanation:

determine which graph shows Y is a function of x PLEASE HELP ASAPPP ​

Answers

Answer: The Horizontal line at 5

Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.

Hope this helps!

Answer: C

Step-by-step explanation:

How do I find the domain and range of this?

Answers

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

I need help in math homework

Answers

aye just send me some of the problems I got you

Please help with this I will give brainliest

Answers

Answer:

I beleave its 27

Step-by-step explanation:

Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.

Answers

Answer: there you go

Step-by-step explanation:

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