Determine if the conjecture is true or false. If true, explain your reasoning briefly. If false provide a counterexample.
A. Given that 1/5[tex]\leq[/tex]5,
1/20[tex]\leq[/tex], 20,
and 1/38[tex]\leq[/tex]38, you conjecture that 1/x[tex]\leq[/tex]x all real numbers x[tex]\leq[/tex] 0

Answers

Answer 1

9514 1404 393

Answer:

  false

Step-by-step explanation:

The conjecture shown in this problem statement does not follow from the examples offered. They support the notion that ...

  1/x ≤ x . . . . for x ≥ 0 (not x ≤ 0)

There are several possible counterexamples showing the conjecture is FALSE.

1/0 is undefined1/(-5) > -5 . . . . . . . . a case for x < 0

If the intended domain is x ≥ 0, then the conjecture can also be demonstrated to be false for 0 < x < 1:

1/(1/5) > 1/5

Related Questions

Find the slope of each line.
2

Answers

Answer: m=3/2

Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.

Is 0.875 irrational or rational and why?

Answers

Yes it’s rational It can be expressed as the quotient of two integers

Carmen owns 8 shares of stock. The total value of her shares went down by $32. What was the change in value?

Answers

9514 1404 393

Answer:

  -$32

Step-by-step explanation:

The value went down by $32.

Expressed as a signed integer, the value in dollars changed by -32.

draw 2 4/5 as a picture​

Answers

Answer:

Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts

Step-by-step explanation:))))

10. The Earth’s escape speed (the speed you need to get away forever) is about 25,000 miles per hour. Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping. Based on your understanding of gravity, how will the escape speed from the Moon compare to the escape speed from Earth?
a. The Moon’s escape speed will be greater than Earth’s
b. The Moon’s escape speed will be smaller than Earth’s
c. The Moon’s escape speed will be exactly the same as Earth’s
d. The Moon’s escape speed will change depending on whether it’s a crescent Moon or a full Moon
e. The Moon’s escape speed will be balanced by the Earth being so close and it will be zero

Answers

“Escape speed depends on the gravity of the object trying to hold the spacecraft from escaping”
Gravity on the moon is less than on Earth, because the mass of the moon is small than then mass of Earth.

Since gravity on the moon is less and escape speed depends on that gravity,
=> the moon’s escape speed will be smaller than Earth’s.

Kaylee has a 7/12 yard piece of lace that she is using to make doll dresses. She
needs 1/8 yard for each dress. Which expression can be used to show how
many dresses she can make from the lace?

Answers

The expression that can be used to show how  many dresses she can make from the lace is [tex]\frac{7}{12}[/tex] ÷[tex]\frac{1}{8}[/tex]

In order to determine how many dresses can be made from the lace, divide the yards of the lace by how many yards are needed to make the dress

Number of dresses that can be made = [tex]\frac{7}{12}[/tex] ÷ [tex]\frac{1}{8}[/tex]

Solving this equation, 4 dresses can be made from the lace

7/12 x 8/1 = 4.67 dresses

A similar question was solved here: https://brainly.com/question/9328992

log base 2 of x multipy 1/3 times base 2 of x

Answers

Answer:

[tex] log_{2}(x) \times \frac{1}{3} log_{2}(x) \\ \\ = log_{2}x + log_{2}(x) {}^{ \frac{1}{3} } \\ \\ { \boxed{ \boxed{= log_{2} \{x + ({x})^{ \frac{1}{3} } \}}}}[/tex]

How many terms are in the following expression?
-4a +8C -4b +3

Answers

Answer: 4 terms

Step-by-step explanation:

-4a , 8c, -4b, and 3

What is -2/3 - (-1/2)

Answers

Answer: -1/6

Step-by-step explanation: Start by changing the minus a negative

to plus a positive, so we have -2/3 + 1/2.

Since our denominators of 3 and 2 have no factors in common,

our least common denominator is 3 · 2 or 6.

In order to get a denominator of 6 in each fraction,

we multiply top  and bottom of the first fraction by 2

and top and bottom of the second fraction by 3.

That gives us -4/6 + 3/6 which simplifies to -1/6.

AnswerAnswer:

Step-by-step explanation:

-0.16666666666

Find the area of this parallelogram. Be sure to include the correct unit in your answer.
8 cm, 10 cm , 12 cm

Answers

Answer:

96cm^2

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = 12cm \times 8cm \\ = 96 {cm}^{2} [/tex]



In triangle LTM, segment XY is the perpendicular bisector of side TM.
Consider point P on segment XY. If TM = 6 centimeters and TP = 5 centimeters, what's the length of PM?
A. 2.5 CM
B. 5 CM
C. 6 CM
D. 10CM

Answers

Answer:a 5cm

Step-by-step explanation:

how to write nine thousands in standard form

Answers

9,000

I hope this helps!

Evaluate the expression x²+yz for x=-3, y=5, and z=2

Answers

Answer:

19

Step-by-step explanation:

- To evaluate this expression, we simply have to substitute the variables for their values.

x²+yz

(-3)² + (5)(2)

9 + 10

= 19

Find the GCF of 36 and 42

Answers

Answer:

the GCF of 36 and 42 is 6

Step-by-step explanation:

help with both for brainiest plz

Answers

Answer:

1. (3,0)

2. 3 miles

Step-by-step explanation:

1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.

2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles

There are 4 fewer markers than crayons . There are 6 markers . How many cranyons are there

Answers

There’s ten crayons. Because the markers have 4 less you just add 4 to the number of markers (6). 6+4=10

f(x) = 3x – 9 evaluate

Answers

Answer:

x = 3

Step-by-step explanation:

Step 1: 0 = 3x - 9

Step 2: -3x = -9

Step 3: x = 3

The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are there?

Answers

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

Last summer, at Camp Mystic Lake, the ratio of the number of boy
campers to the number of girls campers was 8:7. If there were a total of
600 campers, how many girl campers were there? *

Answers

Answer:

280 girls

Step-by-step explanation:

wordssssssssssss


1. The perimeter of the equilateral triangle below is 75. Solve for the value
of x.
5x
75
5
15
50

Answers

Answer:

x = 5

Step-by-step explanation:

Given,

Perimeter of a triangle = 75

One side of the triangle = 5x

Therefore,

By the problem,

5x + 5x + 5x = 75

=> 15x = 75

=> x = 75/15

=> x = 5 (Ans)

Use the points shown on the graph to the right
to determine the slope of the
line.
10
Ø
*
Select the correct choice below and, if
necessary, fill in the answer box to complete
your choice.
2-
O A. The slope of the graph is
(Type an integer or a fraction.)
OB. The slope is undefined
Oh8
= 6
-4
C.
4
6-
-8-
10-

(Answer quickly)

Answers

Answer:

Slope: 3/4

Step-by-step explanation:

There are 16 tables in the school lunch room. Each table can seat 22 students. How many students can be seated at lunch at one time?
WITH EXPLANATION PLSS

Answers

Answer:

16 table each table seats 22 so 16 * 22 = 352

Step-by-step explanation:

Please anyone to show me how this mathematics question is done..please

Answers

9514 1404 393

Answer:

  (i) 55.59 km/h

  (ii) 3600 nautical miles ≈ 6670.8 km

  (iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

  (30 kt/h)(1.853 km/kt) = 55.59 km/h

__

(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

  distance = speed × time

  distance = (30 kt/h)(120 h) = 3600 nautical miles

  = (55.59 km/h)(120 h) = 6670.8 km

__

(iii) The radius of the 30° latitude line is ...

  (6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

  s = rα

So, the change in the vessel's longitude is ...

  α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

  40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

Additional comment

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.

Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?

Answers

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

Which diagram represents the following sets

Answers

Answer:

not sure what is the question

Step-by-step explanation:

According to data, as education level increases the unemployment rate decreases. This is an example of
what type of correlation?

Answers

I don’t think I just want points

As education level increases the unemployment rate decreases this is a negative linear type correlation.

What are the main types of correlation ?

There are three main types of correlations they are positive linear correlation where both the variables related to each other increase or decrease simultaneously.

In negative linear correlation between two variables if one variable is increasing the other starts to decrease and vice versa and the third type of correlation is where there is no correlation increase and decrease happen in random way that is quite difficult to form in terms of numerical form or graphing them.

According to the given statement as education level increases the unemployment rate decreases.

This is an example of negative linear correlation as one variable increases the other related to it decreases.

Increase in education level decreases unemployment as with higher education people learn new skills,they become more aware of their surroundings and most importantly education teaches us to think logically these are the things that a co-operate world wants.

learn more about correlation here :

https://brainly.com/question/13956667

#SPJ2

Graph the solution of the inquantity of on the number line 2x+5<3x+4

Answers

Really really hope this helps you! :)

There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?

Answers

3 cause 3x6=18 18+3=21

Answer:

126 cats .................

126 dogs........

I could use some help w/ explanation please

Answers

9514 1404 393

Answer:

  $2400

Step-by-step explanation:

The question is asking the amount invested in fund B. We can let 'b' represent that amount. Then the amount invested in fund A is (6000-b). The total profit from the investments is ...

  0.02(6000 -b) +0.07(b) = 0.04(6000)

  120 +0.05b = 240 . . . . . simplify

  0.05b = 120 . . . . . . . . . subtract 120

  b = 2400 . . . . . . . . . . .divide by 0.05

Alonzo invested $2400 in fund B.

Katarina asks Dacia how she can you derive the formula r= x2+y2. Which of Dacia's replies are correct?

Answers

Options A and B are correct. If Katarina asks Dacia how she can derive the formula r= x²+y², then the following statements should be Dacia's reply.

Because r is the hypotenuse of a right triangle, with legs x and y, you can use the Pythagorean theorem to determine 'r

r is a straight line distance from the point and can be projected onto x and y axes where x = rcosθ, y = rsinθ. Writing sinθ = y/r, Cosθ = x/r and using the identity sin²θ+cos²θ = 1

Given the equation by Katarina expressed as:

r = √x²+y²

One of the ways Katarina can derive the equation is to use the Pythagoras theorem which states that the sum of the square of the hypotenuse is equal to the sum of the other two sides. Let:

r be the length of the hypotenuse

x and y be the other two sides

According to the theorem:

r² = x² + y²

Take the square root of both sides

√r² = √x² + y²

r = √x² + y²

Also, Katarina can use the trigonometry identity. According to a right triangle where:

sinθ = y/r

Cosθ = x/r

According to trigonometry identity, sin²θ+cos²θ = 1

(y/r)² + (x/r)² = 1

y²/r² + x²/r² = 1

(y²+x²)/r²  = 1

y²+x²  = r²

Swap

r²=y²+x²

This shows that the first two options are correct.

Because r is the hypotenuse of a right triangle, with legs x and y, you can use the Pythagorean theorem to determine 'r

r is a straight line distance from the point and can be projected onto x and y axes where x = rcosθ, y = rsinθ. Writing sinθ = y/r, Cosθ = x/r and using the identity sin²θ+cos²θ = 1

Learn more here: https://brainly.com/question/15610639

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