jasmine said that commutative property always works for addition but never for subtraction

Answers:

=======================================================

Explanation:

Let's say the claim is \(\text{x}^2 \ge \text{x}\) true for any real number x. It certainly works for things like x = 5 and x = 27.

A counter-example to show this isn't true is to use x = 0.5

So,

\(\text{x}^2 \ge \text{x}\\\\0.5^2 \ge 0.5\\\\0.25 \ge 0.5\\\\\)

The last statement is false, which thereby proves the original claim doesn't work for x = 0.5; by extension, the overall claim of that inequality working for any real number is false.

As you can see, all we need is one counter-example to contradict the claim to prove it false.

Unfortunately one single example is not enough evidence to prove a claim true. Think of it like saying "it's much easier to knock down a sand castle than to build it up".

Instead, we need to use a set of clearly laid out statements and reasons based on previously established theorems.

Answer: 2x^2 - 4x - 2 (first option)

Step-by-step explanation:

To solve (3x^2 + x -3) - (x^2 - 5x + 1), first you have to simplify it. you would put 3x^2 and - x^2 together, x and -5x together, and -3 and 1 together. This simplifies to  2x^2 - 4x - 2. Hopes this helps

The end behavior of the parent function is consistent.

As x approaches infinity, the y-values slowly get larger, approaching infinity. As x approaches 0 from the right (denoted as x → 0+), the y-values approach negative infinity.

Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

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

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

Answer:

Step-by-step explanation:

\(\sqrt{12^{2}+6^{2} } = \sqrt{144 + 36} = \sqrt{180} = \sqrt{36*5}= 6\sqrt{5} = 13.4\)

answer is A

Answer:

d = 13

Step-by-step explanation:

The distance formula in a complex plane is \(\sqrt{(s-a)^{2} + (t-b) }\). Let us say that points (a,b) are (-2,-3) and points (s,t) are (3,9), both coordinates derived from given. Substitute the numbers into the equation to get the distance.

d = \(\sqrt{(3-(-2))^{2} + (9-(-\\3))^{2} }\)

d = 13

Answer:

5 terms

Step-by-step explanation:

The quotient with the decimal point placed correctly is 34.6.

Estimating the division of 100.34 by 2.9:

We can round 100.34 to the nearest whole number, which is 100, and round 2.9 to the nearest whole number, which is 3.

Dividing 100 by 3 gives an estimated quotient of 33.

Comparing the estimate to the given quotient:

The given quotient is 346, which is significantly larger than our estimate of 33.

To place the decimal point in the quotient, we need to determine the difference between the given quotient and our estimate. In this case, the difference is four places.

Correcting the quotient:

We can place the decimal point four places to the left in the given quotient 346 to match our estimate of 33. This gives us the corrected quotient:

100.34 ÷ 2.9 ≈ 34.6

So, the quotient with the decimal point placed correctly is 34.6.

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Hope you could understand.

If you have any query, feel free to ask.

Answer:

3

Step-by-step explanation:

You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:

27/3

9

9/3

3

3/3

1

3^x = 27

3^3 = 27

3 x 3 x 3 = 27

9 x 3 = 27

27 =27

Step-by-step explanation:

length = 8×width - 30

length × width = 3542

(8×width - 30)×width = 3542

8width² - 30width - 3542 = 0

4width² - 15width - 1771 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = 4

b = -15

c = -1771

width = (15 ± sqrt((-15)² - 4×4×-1771))/(2×4) =

= (15 ± sqrt(225 + 28336))/8 =

= (15 ± sqrt(28561))/8 = (15 ± 169)/8

width1 = (15 + 169)/8 = 184/8 = 23 ft

width2 = (15 - 169)/8 = -154/8 = -19.25 ft

a negative number for an actual length does not make any sense, so, only width = 23 ft is a valid solution.

length = 8×width - 30 = 8×23 - 30 = 184 - 30 = 154 ft

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

89

Step-by-step explanation:

The answer is 89.

Step-by-step explanation:

A prime number is only numbers that has two factors

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

A angle that is 171° will be in the 2nd quadrant

Answer:

7-10=3 please mark as Brainliest

Step-by-step explanation:

Answer:

10-3=7

Step-by-step explanation:

cause 10-3=7 and 7+3=10 :)

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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Answer:

3

Step-by-step explanation:

100+100+100= 3 hundreds

Answer:

44

Step-by-step explanation:

The sum of the series \(\sum_{k=1}^4\) (2k²−4) is 44.

The series is: \(\sum_{k=1}^4\) (2k²−4)

Let's find the value of each term for k=1, k=2, k=3, and k=4, and then add them up:

For k=1:

2(1)² - 4 = 2(1) - 4 = 2 - 4 = -2

For k=2:

2(2)² - 4 = 2(4) - 4 = 8 - 4 = 4

For k=3:

2(3)² - 4 = 2(9) - 4 = 18 - 4 = 14

For k=4:

2(4)² - 4 = 2(16) - 4 = 32 - 4 = 28

Now, let's add all the terms:

-2 + 4 + 14 + 28 = 44

So, the sum of the series \(\sum_{k=1}^4\) (2k²−4) is 44.

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Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

\(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}\)

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

        \(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma]\)

        \(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma]\)

Thus, the sample consisting of 64 data values would give a greater precision.

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.

Given :

The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:

Step 1 - The below formula of width is used in order to determine the number of data values.

Step 2 - The formula of width is given below:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }\)

where \(z_{\alpha /2}\) is the z-score, \(\sigma\) is the standard deviation, and 'n' is the sample size.

Step 3 - Now, at n = 25 the formula of 'w' becomes:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }\)

\(w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)\)

Step 4 - Now, at n = 64 the formula of 'w' becomes:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }\)

\(w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)\)

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.

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The slope and y-intercept of the graph of the function y = 8x + 2 are 8 and 2 respectively.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about the graph of this function, it can be modeled by this linear equation:

y = mx + c

y = 8x + 2

By comparison, we have the following:

mx = 8x

m = 8

Slope, m = 8.

y-intercept, c = 2.

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Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

Answer:

THE ANSWER IS A. YES........

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

C

Step-by-step explanation:

If you add up the length of two sides, the sum must be greater than the third side of the triangle.

If you add 1 and 2, it equals 3

But that means it will be equal to the length of the third side, 3

It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.

It's sort of difficult to explain this without any visual

You can look up "triangle inequality" to find out more about this

Answer:

7 1/2

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

15/2 is 7.5.

7.5 as a fraction is 7 1/2.

So, the answer is 7 1/2.