Tina says, "The difference between any 2 consecutive square numbers is always odd." Is she correct? Yes No​

Answers

Answer 1
yes she is correct it is always odd
Answer 2

Answer:

Yes

Step-by-step explanation:

Because they are consecutive, one is odd and one is even.

The square of an odd number is always odd

The square of an even number is always even

The difference between an odd number and an even number is always odd

Therefore, the difference between any 2 consecutive square numbers is always odd


Related Questions

Which relation represents a function?

Answers

The relation that represents a function is the mapping in: B.

How to Determine if a Relation is a Function?

A relation is defined as a function if each of the x-value (domain element of input) in the relation corresponds to exactly one y-value (range element of output).

The relation in option A is not a function because it has two different y-values, 7 and 5 that corresponds to an x-value, 6. The relations in option C and D do not represent a function also.

The mapping in option B shows a relation where each x-value (domain element) is related or corresponds to only one y-value (range element). Therefore, it is a function.

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Factor x^2 -2x -2. Show all steps

Answers

Answer:

x = 1 ± √3

Step-by-step explanation:

Factorizing using quadratic formula:

    x² - 2x - 2

Co-efficient of x² = a = 1

Co-efficient of x = b = -2

Constant = c = -2

 D = b² - 4ac

     = (-2)² - 4 *1*(-2)

     = 4 + 8

     = 12

       [tex]\sf x = \dfrac{-b \ \± \sqrt{D}}{2a}[/tex]

           [tex]\sf = \dfrac{2 \ \± \sqrt{12}}{2*1}\\\\\\=\dfrac{2 \± \sqrt{2*2*3}}{2}\\\\\\= \dfrac{2 \±2\sqrt{3}}{2}\\\\\\= \dfrac{2}{2} \± \dfrac{2\sqrt{3}}{2}\\\\\\= 1 \± \sqrt{3}[/tex]

[tex]\sf x = 1 + \sqrt{3} ; \ ; or \ x = 1 - \sqrt{3}[/tex]

ken makes trail mix. the ratio of nuts to raisins is 3 to 5 . find the amount of nuts used in a trail mix that had ten cups of raisins

Answers

answer: 3 to 5 = 6 to 10 = 9 to 15

so the answer would be 6 raisins

Answer:

3x+4x=10x=10/7=1.42

Step-by-step explanation:

3x+4x=10x

7x=10x

10/7=

1.42

The enrollment for a school in 2010 was 1245 students. in 2020, the enrollment was 715 students. find and interpret the rate of change in enrollment from 2010 to 2020

Answers

The rate of change in enrollment from 2010 to 2020 is -53 students per year.

Interpretation:

A negative rate of change (-53 students per year) means that the enrollment in the school decreased over the 10-year period from 2010 to 2020. On average, the school lost 53 students per year during this time frame. This decline in enrollment may have implications for the school's resources, budget, and programs, as it indicates a reduction in the student population over the given period.

Here, we have,

To find the rate of change in enrollment from 2010 to 2020, we can use the formula for calculating the rate of change:

Rate of change = (Change in enrollment) / (Time interval)

Where:

Change in enrollment = Enrollment in 2020 - Enrollment in 2010

Time interval = Year in 2020 - Year in 2010

Let's calculate the rate of change:

Change in enrollment = 715 - 1245 = -530

Time interval = 2020 - 2010 = 10 years

Rate of change = (-530) / 10 = -53

The rate of change in enrollment from 2010 to 2020 is -53 students per year.

Interpretation:

A negative rate of change (-53 students per year) means that the enrollment in the school decreased over the 10-year period from 2010 to 2020. On average, the school lost 53 students per year during this time frame. This decline in enrollment may have implications for the school's resources, budget, and programs, as it indicates a reduction in the student population over the given period.

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The graph models the linear relationship between the distance traveled and the amount of time it took to get there. What is the rate of change of the distance traveled with respect to time?
A) 1/4
B) 4
C) 1/5
D) 5

Answers

Answer:

D) 5

Step-by-step explanation:

we see that every 4 hours 20 miles are traveled.

so, the rate of change of miles travels over hours is

20/4 = 5/1 = 5

in other words, the speed was 5 mph.

help
D’Neese said that 1/10^5 is equivalent to 10^5 . Which statement is true about what D’Neese said?


D’Neese is correct because a^-n =1/a^n

D’Neese is correct because a^-n = 1//a^-n

D’Neese is incorrect because a^-n = -1/a^n

D’Neese is incorrect because a^-n = a/-n

Answers

The statement that is true about what D’Neese said is (d) D’Neese is incorrect because a^-n = a/-n

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the true statement about the equation statement ?

The equation statement is given as

1/10^5 is equivalent to 10^5

The above statement can be rewritten in another way

So, we have the following equation

1/10^5 = 10^5

As a general rule of indices, we have the following exponent rule

So, we have the following equation

1/a^n = a^-n

This means that the equation statement is false

This is so because

1/10^5 is not equivalent to 10^5, instead 1/10^5 is equivalent to 10^-5

Hence, the true option about the statement is (d)

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an atleate can swim 1/2 mile every 1/ hour what is the unit rate

Answers

Answer:

3/2

Step-by-step explanation:

The unit rate is 3/2.

Is there anything like prodigy for high school students? i used to love laying prodigy but once I entered high school I couldn't because it wasn't in my level. so I would like to find something like prodigy for high school students or something where you can like walk around and do things instead of just doing boring flash cards for school.

Answers

Answer:

I don't think so, but maybe Prodigy has a game level for high schoolers. You could try searching Gooogle for it, but other than that, I don't think Prodigy does high school math games.

Step-by-step explanation:

Answer: So just ask them

Step-by-step explanation:

So like first tell your teachers and say "hey there mother clunker. Can we play prodigy?". and if they say "Nah fam we're in high school not trashy middle school or elementary school.". You say "SHUT YO PASTEY BUTT UP IM THE ALPHA MALE AND YOU SHOULD RESPECT ME. NOW TELL ME. CAN I PLAY PRODIGY?". If you do say that the teacher will always say "yes yes pls don't hurt me." then you get to play prodigy. Thank me.

What is the remainder of (x3+5x2−32x−7)÷(x−4) ? Enter your answer in the box.
Show all work please!

Answers

The remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

As given in the question,

Dividend of the given division is equal to :  ( x³+5x²−32x−7 )

Divisor of the given division is equal to : ( x−4 )

Divide the given dividend ( x³+5x²−32x−7 ) by divisor  ( x−4 ) remainder we get,

( x³+5x²−32x−7 )

= x³ -4x² +9x² -36x +4x-16 +9

= x²(x-4) + 9x (x-4) +4(x-4) + 9

= (x-4)(x² +9x +4) + 9

Quotient is equal to (x² +9x +4)

Remainder is equal to 9

Therefore, the remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

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F(x)= 2|x-5|+7 write a function reflection of x-axis

Answers

Answer: -2Ix-5I - 7

Step-by-step explanation:

all you need to do is Multiply the entire equation by -1

Find the values of x in this equation. 10 + |2x − 12| − 14 = 0

Answers

Answer:

x = {4, 8}


Explanation:

-4 + |2x - 12| = 0

|2x - 12| = 4

2x - 12 = ±4

x = 8
x = 4

x = 4, 8
-4+|2x-12|=0
|2x-12|=4
2x-12=4
2x-12=-4
X=8
X=4
X1=4, X2=8

The measures of the angles of a triangle are shown in the figure below. Solve for x.
74°
(8x-19)°
45°

Answers

Answer:

x = 10

Step-by-step explanation:

The internal angles of a triangle sum 180°

74° + 45°+ (8x-19)° = 180°

119 + 8x - 19 = 180

119 - 19 + 8x = 180

100 + 8x = 180

8x = 180 - 100

8x = 80

x = 80/8

x = 10

Check:

74 + 45 + (8x-19) = 180

1100 + 8*10 = 180

100 + 80 = 180

I need help please !!!

Answers

Answer: can you guys help me too

Step-by-step explanation:

Together, Nora and Addison own 152 shares of stock.  Nora has 4 less than three times Addison's amount.  How many shares does each girl have?

help help help help help

Answers

Answer:

1 4/10

Step-by-step explanation:

3 1/2 turns into 3 5/10 minus 4 9/10 blah blah blah anyways yeah

Set both given equations equal to zero, then combine them into one standard form equation. Simplify if possible.

7x + 3 = 5 and y - 1 = 6

Equation 1 -

Equation 2 -

Combined Equation -

Answers:
a. 7x - 2 = 0
b. 7x - y = 1
c. 7x + 8 = 0
d. y - 7 = 0
e. 7x - y = -5
f. y + 7 = 0

Answers

The standard equation is 7x + y = 9

layoff Ax + By = C is the usual form for two-variable direct equations. A standard form direct equation is, for case, 2x + 3y = 5. When an equation is given in this format, chancing both intercepts is rather simple( x and y). When trying to break systems involving two direct equations, this form is also relatively helpful.

Given

7x + 3 = 5 and y - 1 = 6

Add the bottoms from the two given equations to produce a single standard-form equation.

By shifting the constant fromR.H.S. toL.H.S., the equations are reset to zero.

7x + 3 - 5 = 0

7x - 2 = 0----( 1)

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0-----( 2)

Equation 1 and equation 2 must be combined.

7x - 2 + y - 7 = 0

7x + y - 9 = 0

layoff Ax + By = C is the equation's conventional form.

A, B, and C are integers and x and y are variables in this type of equation.

Accordingly, the common equation is

7x + y - 9 = 0

7x + y = 9

therefore the standard equation is 7x + y = 9

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The drive from Tallahassee Florida to Tampa takes about 5 1/2 hours while driving the posted speed limit the drive to from Tampa to fort Myers fla take 1 1/2 hours driving the posted sped limit. If you left Tallahassee at 2:30 am and drove directly to Tampa and then directly to fort myers fla, at the posted speed limit what time would you arrive at fort Myers fla

Answers

You will arrive at Myers fla by 9:30 am

In angle L M N the measure of angle L is equal to the measure of angle M. The measure of angle N is twice the measure of angle M. Find the measure of each angle in angle L M N

Answers

The measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called vertex of that angle. Those two line segments forming it are called arms of that angle. The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Given that the angle L M N the measure of angle L is equal to the measure of angle M.

∠L = ∠M

Also, the measure of angle N is twice the measure of angle M.

∠N = 2∠M

The measure of each angle in angle L M N would be;

∠L + ∠M + ∠N = 180

∠M + ∠M + 2∠M = 180

4∠M = 180

∠M = 180/4

∠M = 45

∠M = ∠L = 45 degrees

∠N = 2 x 45 = 90

Therefore, the measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

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What’s x??

Solve for X

5x-9=3x+3

Answers

Answer:

x = 6

Step-by-step explanation:

5x - 9 = 3x + 3 ( subtract 3x from both sides )

2x - 9 = 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

what is −k−(−8k)? Im so confused i need desperate help!!!

Answers

Answer:

Step-by-step explanation:

-k-(-8k)

When there are 2 negatives, it becomes a plus. So, -(-8k) would become    

+(8k).

So, -k-(-8k):

-k+8k      Open parentheses and then subtract because there is a negative.

7k Answer.

I hope this clears things up a little!

Margaret walks in 28 days if she walks for 30 minutes per day how long will she in 28 days?

Answers

Answer:

840 minutes or 14 hours

Step-by-step explanation:

30 min x 28 days = 840 min

:]

Answer: 14 Hours or 840 mins

30 × 28 = 840 mins = 14 hours

the distance between (2, -3) and (4, -3) on the coordinate plane?

Answers

[tex]=\sqrt{(x_{2} -x_{1})^{2}+(y_{2}-y_{1} )^{2} }\\ =\sqrt{(4-2)^{2}+(-3-(-3))^{2} } \\=\sqrt{(2)^{2}+(-3+3)^{2} } \\=\sqrt{4+0^{2} } \\=\sqrt{4} \\=2[/tex]

the distance is equal to 2

I also provided you with the formula for future use.

i need this answer cause I have no clue what I'm supposed to do​

Answers

The missing co-ordinate r = 8

(6,9) and (r,-1) are two points on a line whose slope is given as -5.

Slope of a line is the change of y co-ordinates divided by the change in x co-ordinates between two points on a line.

Take (x₁, y₁) = (6,9) and (x₂, y₂) = (r, -1).

The slope of a line is given by,

Slope, m = (y₂-y₁)/ (x₂-x₁)

⇒  -5 = (-1-9)/(r-6)

⇒ -5 = -10/(r-6)

⇒ 1 = 2/(r-6)

⇒ r-6 = 2

⇒ r = 2+6

⇒ r = 8

So the points are (6,9) and (8,-1).

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Rewrite with Common Denominator
-⅗ + -7/10

Answers

By multiplying 2 on both the numerator and denominator of  [tex]\frac{-3}{5}[/tex] .

The expression [tex]\frac{-3}{5}[/tex] + [tex]\frac{-7}{10}[/tex] with a common denominator can be written as

[tex]\frac{-6}{10}[/tex] + [tex]\frac{-7}{10}[/tex]

What is a fraction?

A fraction is written with a numerator and a denominator where the numerator is less than the denominator.

Example: 1/3 is a fraction

We have,

[tex]\frac{-3}{5}[/tex] + [tex]\frac{-7}{10}[/tex]

We have different denominators and we need to make the denominator the same.

We will multiply 2 on both the numerator and denominator of  [tex]\frac{-3}{5}[/tex].

= [tex]\frac{2 \times -3}{2 \times 5}[/tex]

= [tex]\frac{-6}{10}[/tex]

We see that,

The denominator in [tex]\frac{-6}{10}[/tex]  and [tex]\frac{-7}{10}[/tex]  is the same.

i.e 10.

Now,

[tex]\frac{-3}{5}[/tex] + [tex]\frac{-7}{10}[/tex] can be written as [tex]\frac{-6}{10}[/tex] + [tex]\frac{-7}{10}[/tex]

Thus,

By multiplying 2 on both the numerator and denominator of  [tex]\frac{-3}{5}[/tex] .

The expression [tex]\frac{-3}{5}[/tex] + [tex]\frac{-7}{10}[/tex] with a common denominator can be written as

[tex]\frac{-6}{10}[/tex] + [tex]\frac{-7}{10}[/tex]

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what does p equal [tex]\frac{p}{4} - -15 = 19[/tex]

Answers

The value of p from the given equation is 136.

The given equation is p/4 - 15 = 19.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is solved as follows:

Transpose -15 to other side of the given equation

That is, p/4 = 19+15

⇒ p/4 = 34

Cross multiply 4 to 34

We get p = 34 × 4

⇒ p = 136

Therefore, the value of p from the given equation is 136.

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A parachutist descends 70 feet in 5 seconds. What integer represents the parachutist's change in height in feet per
second?

Answers

An integer is any number that contains both positive and negative numbers, including zero. The change in elevation exists 14 feet per second.

What is meant by an integer?

An integer is any number that contains both positive and negative numbers, including zero. It does not contain fractional or decimal parts.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

A parachutist descends 70 feet in 5 seconds.

To find this simply divide the numbers as shown: 70 feet in 5 seconds

70 / 5 = 14 seconds

Therefore, the change in elevation exists 14 feet per second.

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Mathematics Diagnostic Assessment
Maria wants to add to her CD collection. If a CD costs $8, which expression shows the cost of d CDs?
OA. 8 + d
OB. 8-d
OC. 8-d
OD. 8x d

Answers

The answer to your question is D

Charis invested 140$ . She earned a simple interest of 3%per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?

Answers

The amount of interest would be $8.4 Charis received at the end of two years.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as:

Principal (P) = $140

Rate of Interest (R) = 3% = 3/100 = 0.03

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest = 140 × 0.03 × 2

⇒ Simple interest = $8.4

Therefore, the amount of interest would be $8.4 Charis received at the end of two years.

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True or False
1. 28<0
2. 126<0
3. 688<0

Answers

1. 28 is greater than 0
2. 126 is greater than 0
3. 688 is greater than 0

Answer:

1. False, 2. False, 3. False

Step-by-step explanation:

The Smith and Jones manufacturing company keeps a third of its cash in the bank, which pays 0.5% interest, and the other two-thirds in long-term investments that give 3.5% interest. If the company earned a total of $37,500 in interest last year, how much cash did they keep in the bank?

Answers

If the company earned a total of $37,500 in interest last year, how much cash did they keep in the bank is; $937,500.

How to solve Algebra Word Problems?

This is about the concept of compound interest which is defined as the interest on savings that is calculated on both the initial principal and the accumulated interest from previous periods.

From the question, let us make x to represent the amount of cash.

Now, we are told that one portion of it pays 0.5%and as such this will be 0.005x.

Now, the other portion pays 3.5% and as such this is 0.035x.

Combining both knowing that the total the company earned in the last year was $37,500 and we have;

0.005x + 0.035x = 37500

0.040x = 37500

Solve for x to get;

x = (37500)/(0.04)

x = 937500

Therefore, the company started with $937,500.

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guys please help ive been trying to figure it out for like an hour. i need to khow whats the value of x khowing that the perimeter is 51 cm​

Answers

Answer:

x=4

Step-by-step explanation:

first, you have to add all of the sides up:

x+2x+x+3x+7+5x-4=12x+7-4=12x+3

12x+3=51. now, we can subtract 3 from both sides, so that we can isolate x.

     -3  -3

12x=48

x=4

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