Conjectures can always be proven true.
True or False

Answers

Answer 1

if it's false then it can't be proven true

basically if you start with a crazy wrong conjecture, then it can't be proven true

a conjecture is a guess based on incomplete information
some examples are when you have some special cases and assume they are true for all cases

example:
this rectangle is 4 by 16
this square is 8 by 8
they have the same area
therfor I think that all squares have the same area as rectangles
(that's obviously false)
so you can't prove that true

Related Questions

The sum of the first three terms of a convergent geometric series is 19. the sum of the series is 27. find the first term and the common ratio.

Answers

1st,since this GP is convergent that means the common ratio r <1
2nd, sum of a GP = a₁(1-rⁿ)/(1-r), where a₁ = 1st term and n=number of terms
3rd, for any convergent GP, r<1 and the sum of all terms =a₁/(1-r): Why?
[since r<1 → lim rⁿ when n→∞, =0 in the formula of the 2nd)]
Now let's solve :

a) Sum = a₁(1-r³)/(1-r) = 19 (sum of the first 3 terms)
b) Σ(Sum) = a₁/(1-r) = 27 (sum of all terms of this CONVERGENT GP)

Divide a) by b):

[a₁(1-r³)/(1-r)] / [a₁/(1-r)] = 19 /27 ↔ [a₁(1-r³)/(1-r)] x [(1-r)/a₁]=19/27.
Simplify:
(1-r³) = 19/27
-r³ = 19/27 - 1
r³ = 8/27

r = ∛(8/27)

r = 2/3 and a₁ = 9 (Plug r in the Σ sum)
Hence first term a₁ = 9
and common ration r =2/3

After John worked at a job for 10 years, his salary doubled. If he started at $ x , his salary after 10 years is _____.

$ x
$ x + 2
$ x - 2
$2 x

Answers

Since it doubled it's twice(2) the amount he started with. $2x

Need help please!!!!

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I can't see the question...maybe I would be better at helping if I knew what to assist with.

;)

Solve the system of equations by substitution. x + y = x + 7y = 8

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Let us start first writing the equation separately: Equation 1: x+y=8 Equation 2: x+7y=8 Let us subtract Equation 1 from Equation 2 x+y=8 -(x+7y)=8 ------------------ 0 -6y=0 6y=0 y=0 Now we have y=0, let us put this in any of the equation 1 or equation 2 Let us first put it in Equation 1 x+y=8 x+0=8---putting y value as y=0 x=8 Now Equation 2: x+7y=8 x+7(0)=8 x+0=8 x=8

Answer:

1 and 1

Step-by-step explanation:

If you apply the changes below to the absolute value parent function, F(x)=|x|, what is the equation of the new function? Shift 8 units left, shift 3 units down.
A. G(x)=|x-3|-8
B. G(x)=|x-3|+8
C. G(x)=|x-8|-3
G(x)=|x+8|-3

Answers

The transformation that shifts a function along the [tex]x-axis[/tex] is [tex]f(x+a)[/tex], which shifts the function to the left, and [tex]f(x-a)[/tex], which shifts the function to the right.

The transformation that shifts a function along the [tex]y-axis[/tex] is [tex]f(x)+a[/tex], which shifts the function up, and [tex]f(x)-a[/tex], which shifts the function down

Hence, the correct answer is D: [tex]g(x)=f(x+8)-3[/tex]

The dot plot shows the number of words students spelled correctly on a pre-test. Which statement best describes the shape of the graph?

A.) The graph is skewed right.

B.) The graph is nearly symmetrical.

C.) The graph is skewed left.

D.) The graph is perfectly symmetrical.

Answers

Let's think of this problem easily by looking at it instead of going through rigorous mathematics.

When a graph is skewed right, most of the values are to the left side.

When a graph is skewed left, most of the values are to the right side.

Perfectly symmetrical is that both sides, with respect to the median, are same. Here mean and median is equal.

Nearly symmetrical would really close to perfect symmetry, only varying a bit on both sides. Mean would be approximately equal to median.

Now counting the dots as well as looking closely, we can rule out skewed right and skewed left. Now, is the graph perfectly symmetrical? No! So the correct answer is "nearly symmetrical". Correct choice is B.

ANSWER: B

Answer:

The answer is neary symmetrical or answer B

Step-by-step explanation:

If you cut the graph in half exactly, both side would almost line up perfectly.

ASAP!!
Shortly before a 1992 mayoral election, a local radio station conducted a Internet survey of voters. Based on the results of the survey, the magazine predicted that the Democratic candidate would beat the Republican candidate by a landslide. In fact, exactly the opposite happened. The trouble with the survey was that the radio station was a largely liberal station and few Republicans visited its Web site. This is a classic example of an error in which phase of inferential statistics?
A.Data gathering
B.Data analysis
C.Probability-based inference
D.Data organization

Answers

This is a classic example of an error in data gathering phase of inferential statistics.

What is data gathering?

Data gathering is the process of collection and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.

Learn more about data gathering here

https://brainly.com/question/17538970

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Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month than the month before. She ended up saving $19,779.00. How much more did she save each month? (2 points)

Answers

19779 - 57(11) = 19779 - 627 = 19152

m = 19152*2/(56*57)

m = 12

she saved $12 more every month

Solve for x: 8x + 10 - 5x = 15.

Answers

8x + 10 - 5x = 15
3x + 10 = 15
3x = 5
x = 5/3

hope it helps

8x+10-5x = 15

3x+10 = 15

3x = 5

x = 5/3

Given the points A (3,2) and B (-21,0) determine:

a. the slope of line AB
b. the length of AB
c. the midpoint of AB
d. an equation of AB

Answers

A)(y2-y1)/(x2-x1)
(0-2)/(-21-3)=-2/-24=1/12
B)sqaureroot((-2)^2+(-24)^2)=squareroot(580)=2squareroot(145)
C)((x1+x2)/2,(y1+y2)/2)=(-9,1)
D)y=1/12(x+21)

The slope of the line passing through the points (6, -1) and (7, -2) is

Answers

Slope formula is the change in y over the change in x

Change in y: -1
Change in x: +1

-1/1 = -1

Slope: -1

Hope it helped :)
Please give brainliest

To find the slope of the line, applying this formula to get it
m=(y2-y1)/(x2-x1) where m represent slope, (x1,y1) represent point (6,-1) and (x2,y2) represent point (7,-2) in this case, so we need to solve it
m=(y2-y1)/(x2-x1)
m=(-2-(-1))/(7-6)
m=(-2+1)/1
m=-1. As a result, the slope of the line passing through the points (6, -1) and (7, -2) is -1. Hope it help!

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

Answers

(1,9)(-1,11)
slope = (11 - 9) / (-1 - 1) = -2/2 = -1

there can be 2 answers for this...
y - y1 = m(x - x1)
(1,9)...x1 = 1 and y1 = 9
sub
y - 9 = -(x - 1) <== here is one answer

y - y1 = m(x - x1)
(-1,11)...x1 = -1 and y1 = 11
sub
y - 11 = -(x - (-1) =
y - 11 = -(x + 1) <== here is the other answer

use the point slope formula, y-y1=m(x-x1) to find the equation of the line.
y=-x+10

A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2 +672t. After how many seconds does it reach its maximum height?

Answers

It will reach its maximum height at the vertex of the parabola. Which is always:

(-b/(2a), (4ac-b^2)/(4a))

So the time when this occurs is the x coordinate, or t in this case.

-b/(2a), and b=672 and a=-16 so

t=-672/-32

t=21 seconds

Answer: 21 seconds

Step-by-step explanation:

We know that a parabola with equation [tex]y=ax^2+bx+c[/tex] attains its maximum height at :-

[tex]x=\dfrac{-b}{2a}[/tex]

The given function: [tex]h=-16t^2 +672t[/tex]

It will attain its maximum height at :

[tex]t=\dfrac{-672}{2(-16)}=21[/tex]

Hence , after 21 seconds the projectile will reach its maximum height .

Find an equation of the vertical line that passes through (x, y) = (5, 11).

Answers

x=5 is the vertical line that passes through (5, 11).

Which of the following shows the graph of a line through (-2,2) and (2,4)

Answers

You didn't include the options, but one and only one line passes through two poins.

You can find the equation of the line that passes through two known points in this way:

[Y -Y1] / [X -X1] = [Y2 - Y1] / [X2 -X1]

in this case (X1,Y1) = (-2,2) and (X2,Y2) = (2,4)

=> [Y - (2) ] / [X - (-2) ] = [4 - 2] / [2 - (-2) ]

=> [Y -2] / [X + 2] = 2/4 = 1/2

=> 2 * (Y - 2) = X + 2

=> 2Y - 4 = X + 2

=> 2Y = X + 2 + 4

=> 2y = x + 6

=> y = x/2 + 3

So you must look the graph of that equation.

Some of the points of that graph are:

x         y

-6       -6/2 + 3 = 0

-4        -4/2 + 3 = 1

-2         -2/2 + 3 = 2

0           0 + 3 = 3

2           2/2 + 3 = 4

4           4/2 + 3 = 5

So, you should find the correspondant graph easily.

Answer:

Attachment for graph.

Step-by-step explanation:

Given: (-2,2) and (2,4)

Two points are given and to find the equation of line passing through the points.

First we find the slope of the line.

[tex]\text{Slope }=\dfrac{4-2}{2+2}[/tex]

[tex]=\dfrac{1}{2}[/tex]

Point: (2,4)

using point slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=\dfrac{1}{2}(x-2)[/tex]

[tex]y=\dfrac{1}{2}x+3[/tex]

Now, we draw the graph using two given points. Plot the points on graph and join them.

Please find the attachment for graph.

Find the area of a regular hexagon whose side length is 16 in. and the apothem is 8 square root 3

Answers

Area = 6 * (0.5*16*8sqrt3)

= 6 * 64 sqrt3

= 384 sqrt3 sq units
or 665.1 sq units to nearest tenth

The area of a regular hexagon is mathematically given as

A=665.1 sq units

What is the area of a regular hexagon whose side length is 16 in.?

Question Parameter(s):

a regular hexagon whose side length is 16 in.

and the apothem is 8 square root 3

Generally, the equation for the area is mathematically given as

A=(3√3)/2 *a^2

Therefore

A = 6*(0.5*16*8√3)

A= 384√3 sq units

A=665.1 sq units

In conclusion, the area of a regular hexagon

A=665.1 sq units

Answers

Word form. Standard for would be 70,000

Um I believe you are asking what it would look like.

70,000 is standard form

seventy-thousand is word form

which point of the following ordered pairs is represented by a point located on the y- axis
a. (1,1)
b. (-2,0)
c. (4,-4)
d. (0,3)

Answers

For a point to be on the y-axis we know that it must have x=0; that's how the y-axis is defined.

In this list only one of the choices has x=0: Point D

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office

Answers

Let x be the total number of staff in the office.

Thus,

The number of staff on vacation = [tex] \frac{1}{3} x[/tex]

Since, it says that staff out sick are among those not on vacation, we have to subtract the number of staff on vacation from the total number of staff.

The number of staff out sick = [tex] \frac{1}{4} (x - \frac{1}{3}x)[/tex]

Hence,

The number of staff in the office = [tex]x - \frac{1}{3} x - \frac{1}{4} (x- \frac{1}{3} x) = (x - \frac{1}{3} x)(1 - \frac{1}{4} ) = x(1- \frac{1}{3})(1- \frac{1}{4}) = x( \frac{2}{3})( \frac{3}{4}) [/tex] [tex]= \frac{1}{4} x[/tex]

Which of the following shows the extraneous solution(s) to the logarithmic equation? log4 (x) + log4(x - 3) = log4 (-7x + 21)

A. x= -7
B. x= -3
C. x= 3 and x= -7
D. x=7 and x= -3

Answers

Answer: The correct option is C, i.e., x=3 and x=-7.

Explanation:

The given equation is,

[tex]log_4(x)+log_4(x-3)=log_4(-7x+21)[/tex]

Using product property of logarithm [tex]log_a(mn)=log_am+log_an[/tex]

[tex]log_4(x(x-3))=log_4(-7x+21)[/tex]

[tex]log_4(x^2-3x)=log_4(-7x+21)[/tex]

On comparing both sides,

[tex]x^2-3x=-7x+21[/tex]

[tex]x^2-3x+7x-21=0[/tex]

[tex]x^2+4x-21=0[/tex]

Using grouping method 4x can be written as (7x-3x). Because the product of 7 and -3 is equal to the constant term -21 and the addition of 7 and -3 is equal to the coefficient of x.

[tex]x^2+7x-3x-21=0[/tex]

[tex]x(x+7)-3(x+7)=0[/tex]

[tex](x-3)(x+7)=0[/tex]

Equate each factor equal to 0.

The value of x is 3 and -7. Therefore, the option C is correct.

The extraneous solutions are x=3 or x=−7.

We have the equation; log4 (x) + log4(x - 3) = log4 (-7x + 21) we can write;

log4[x(x - 3)] = log4 (-7x + 21)

log4 can be cancelled out from both sides and we have;

x^2 - 3x = -7x + 21

To have a proper quadratic equation;

x^2 + 4x -21 = 0

The solutions of the quadratic equation therefore are x=3 or x=−7.

Learn more about quadratic equations; https://brainly.com/question/4390345

The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. Applying Newton's cooling model, the temperature of the tea after 2 hours will be ºF

Answers

Newton's cooling model is ΔT = ΔTo * e ^ (-k t)

ΔTo = 200°F - 70°F = 130°F

k = 0.6

t = 2 hours

=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)

ΔT = 39.15°F

ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.

Answer: T = 109 °F

Answer:

T = 109 degrees f

Step-by-step explanation:

Please help me answer this math question.

Answers

all 3 angles in a triangle need to equal 180 degrees

62 +73 = 135 degrees are known

180-135 = 45

so angle B = 45 degrees

True or false the opposite angles of a quadrilateral in a circumscribed circle are always complementary

Answers

Answer: This statement is false.

Step-by-step explanation:

False, the opposite angles of a quadrilateral in a circumscribed circle is not complementary.

As we know that the sum of opposite angles of a cyclic quadrilateral ( quadrilateral circumscribed circle ) is always supplementary.

So, Sum of opposite angles is 180° .

Hence, this statement is false.

Answer:

False

Step-by-step explanation:

We are given that

Opposite angles of a quadrilateral in a circumscribed circle are always complementary.

We have to find that this statement is true or not.

We know that

When a quadrilateral in a circumscribed circle is called cyclic quadrilateral.

We know that

Sum of opposite angles of cyclic quadrilateral is always 180 degrees.

When sum of two angle is equal to 180 degrees then , the angles are called supplementary.

Hence, the sum of opposite angles of cyclic quadrilateral is always supplementary.

Therefore, the given statement is false.

You cut a 90 cm long rope into two pieces. the longer piece is 2 times as long as the shorter piece. what is length of the longer piece and the shorter piece respectively?

Answers

Total length of rope = 90 cm

Let the shorter piece be x.

Thus, the length of the longer piece = 2x.

2x + x = 90

3x = 90

x = 30.

Therefore, the shorter piece is 30 cm and the longer piece is 60 cm.

There is a traffic light at the intersection of Walnut Street and Lawrence Avenue. The traffic light on Walnut Street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds. As you travel along Walnut and approach the intersection, what is the probability that the first color you see is red?

1/5

1/3

3/5

1/2

Answers

From the given above, we calculate for the total cycle time by adding up all the durations given for the yellow light, red light, and green. That is,
total time = 30 s + 10 s + 50 s = 90s
Hence, the total time is equal to 90 s. From this, we calculate for the probability that the first light that will be seen is a red light by dividing the duration of the red light in the cycle by the total time.
Probability = (30 seconds) / (90 seconds)
= 1/3

Therefore, the probability that the red light will be seen first is equal to 1/3. The answer is second choice.

A quadratic equation is shown below: 4x2 − 12x + 9 = 0
Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)
Part B: Solve 9x2 − 30x + 25 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

Answers

A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3

Julio is playing a trivia game .on his first turn ,he lost 100 points on his second turn ,he lost 75 points . On his third, he lost 85 points. Write a sum of three nagative integer that models the change to julio score after his first three turns

Answers

This is -100-75-85 = -100-160 = -260 points answer

a rectangle has a perimeter of 182 in and length of 52 in. What is the width?

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check the picture below.

Geometry please help !!

Answers

It's Concave.

If any internal angle is greater than 180° then the polygon is concave

Concave. It is possible to draw a line segment joining two interior points that goes outside the polygon.

what should be the first step in solving the equation 1.2 W -3.8 equals 12.4

Answers

1.2W - 3.8 = 12.4
1.2W = 12.4 + 3.8
1.2W = 16.2
W = 16.2 ÷ 1.2
W = 13.5

Answer:

Step 1 would be to add 3.8 on both sides.

Step-by-step explanation:

The Equation mentioned in the question is a simple Algebra Equation. We need to solve for W. To do so, we need to get the variable W alone on one side.

Initial Equation: [tex]1.2W-3.8 = 12.4[/tex]

Step 1: Add 3.8 on both sides. [tex]1.2W = 16.2[/tex]

Step 2: Divide 1.2 on both sides. [tex]W = 13.5[/tex]

This gives us the answer of W = 13.5.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Conjectures can always be proven true. True or False

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Conjectures can always be proven true.
True or False