Which of the following expressions is equivalent to 1/3^-3?
3/-1^3
3^3
-3^3
1^3/3

i don’t understand how any of those are equivalent since i got 1/27 as an equivalent. please help me and explain which one is equivalent and why because i got no clue which one it is.

Answer:

Linear function

Step-by-step explanation:

None of the X values repeat so its Linear

Answer:

x = -1 and y = 3

Step-by-step explanation:

Let's solve your system by elimination.

−2x−9y=−25;−4x−9y=−23

Multiply the second equation by -1, then add the equations together.

(−2x−9y=−25)

−1(−4x−9y=−23)

Becomes:

−2x−9y=−25

4x+9y=23

Add these equations to eliminate y:

2x=−2

x = -1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−2x−9y=−25

Substitute−1forxin−2x−9y=−25:

(−2)(−1)−9y=−25

−9y+2=−25(Simplify both sides of the equation)

−9y+2+−2=−25+−2(Add -2 to both sides)

−9y=−27

y = 3

The sum of horizontal forces acting on a body in equilibrium must be zero.

(a) 12 N + 24 N + 48 N = 84 N ≠ 0, so not in equilibrium.

(b) 50 N + 75 N + 150 N = 275 N ≠ 0, so not in equilibrium.

(c) 45 N + 90 N + 450 N = 585 N ≠ 0, so not in equilibrium.

(d) 35 N + 35 N + 35 N = 105 N = 0, so this set of forces can keep a body in equilibrium.

Therefore, the correct answer is (d) 35 N, 35 N, and 35 N.

The solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.

Given that, the quadratic formula is x= [-(-5)±√((-5)²-4×7×7)]/2×7.

Here, x= [5±√(25-196)]/14

x= [5±√(-171)]/14

x=[5±13i]/14

x=[5+13i]/14 or x=[5-13i]/14

Now, (x-(5+13i)/14) (x-(5-13i)/14)=0

Therefore, the solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.

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Answer:

D c+364=500

Step-by-step explanation:

Answer:

A. C + 364 = 500

Step-by-step explanation:

The length of the third side of an isosceles triangle with sides 4 cm and 10 cm is 10 cm.

We know that in an isosceles triangle, two sides are equal.

One side of the triangle is 4 cm and the other is 10 cm.

Let us consider the third side to be 4 cm,

then 4 cm + 4cm = 8 cm and it is not greater than the third side 10 cm.

Hence, the third side cannot be 4 cm.

Then the third side can be 10 cm,

therefore, 4 cm + 10 cm = 14 cm > 10cm

and 10 cm + 10 cm = 20 cm > 10 cm.

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Answer:

15,000

Step-by-step explanation:

You can't round it upwards, so it remains the same.

It would just be 15,000 right?  

Step-by-step explanation: Because if its in the thousands place the 4 is less than the 7

Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

Step-by-step explanation:

Integers only

b

Rational numbers only

c

Integers and Rational numbers only

d

Whole numbers, Integers, and Rational numbers

The data set that lists the temperatures in Albany, NY each day in the month of February would be classified as time series data, as it represents a sequence of observations recorded over a specific period of time.

Time series data refers to a collection of observations or measurements taken at regular intervals over time. In the case of the temperatures in Albany, NY each day in the month of February, the data set represents a sequence of daily temperature measurements recorded over the specific period of February. The data set captures the variation and patterns of temperature changes throughout the month, allowing for analysis of seasonal trends, fluctuations, and other temporal patterns. Time series data is commonly used in various fields, such as weather forecasting, economic analysis, and environmental monitoring, to understand and predict trends and patterns over time.

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Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

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First, we need to convert the mixed number 2 3/8 to an improper fraction:

2 3/8 = (2 x 8 + 3) / 8 = 19/8

To find out how many times Craig needs to fill a 1/3 cup measuring cup, we can divide 19/8 by 1/3:

(19/8) / (1/3) = (19/8) x (3/1) = 57/8

Therefore, Craig needs to fill a 1/3 cup measuring cup 57/8 times to measure 2 3/8 cups.

Answer:

-9m-4mn

Step-by-step explanation:

1) m(-12-4n+3)​

Rearrange the equation.

2) m(-12+3-4n)​

3) m(-9-4n)​

Cross multiply.

4) -9m-4mn

The given vectors (1,1,1), (2,1,0), (3,1,4), and (1,2,-2) are linearly dependent.

To prove that the given vectors are linearly dependent, we need to show that there exist scalars (not all zero) such that a linear combination of these vectors equals the zero vector. Let's denote the vectors as v1 = (1,1,1), v2 = (2,1,0), v3 = (3,1,4), and v4 = (1,2,-2).
We can express the vectors as follows:
v1 = (1,1,1)
v2 = 2(1,1,1) - (3,1,4)
v3 = 3(1,1,1) - 2(1,2,-2)
v4 = (1,2,-2)
Now, we can write a linear combination of these vectors:
c1*v1 + c2*v2 + c3*v3 + c4*v4 = (0,0,0)
Substituting the values of the vectors, we get:
c1(1,1,1) + c2[2(1,1,1) - (3,1,4)] + c3[3(1,1,1) - 2(1,2,-2)] + c4(1,2,-2) = (0,0,0)
Simplifying the equation, we have:
(c1 + 2c2 + 3c3 + c4, c1 + c2 + c3 + 2c4, c1 - 4c2 + c3 - 2c4) = (0,0,0)
To satisfy this equation, we can choose c1 = 1, c2 = -1, c3 = -1, and c4 = 1, which gives us:
(1 - 2 + 3 + 1, 1 - 1 - 1 + 2, 1 + 4 - 1 - 2) = (0,0,0)
Since we found a non-trivial solution (not all coefficients equal to zero), the vectors are linearly dependent.

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Answer:

\((-\infty,0)\cup (0,5)\).

Step-by-step explanation:

Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.

It is given that cube of a number is less than five times the square of the number.

Let the unknown number be x.

\(x^3<5x^2\)

\(x^3-5x^2<0\)

\(x^2(x-5)<0\)

This is possible when both factors \(x^2\text{ and }(x-5)\) have different sign.

We know that \(x^2\) is always greater than or equal to 0. So,

\(x-5<0\)

\(x<5\)

\(x\in (-\infty,0)\cup (0,5)\)

Because \(x^2(x-5)<0\) is not true for x=0, so, 0 is not included in the solution set.

Therefore, the solution set is \((-\infty,0)\cup (0,5)\).

Answer:

C

Step-by-step explanation:

The annual rate of decline is 5.3%.

What is exponential ?

Exponential refers to a mathematical function where the variable is in the exponent. Exponential functions have the general form:

\(f(x) = a^{x}\)

here "a" is a constant called the base, and "x" is the variable. When the base "a" is a positive number greater than 1, the function grows exponentially as "x" increases. When the base "a" is a number between 0 and 1, the function decays exponentially as "x" increases.

We can start by using the formula for exponential decay:

\(N(t) = N0 * (1 - r)^{t}\)

where N(t) is the population after t years, N0 is the initial population, r is the annual rate of decay (as a decimal), and t is the time in years.

We are given that the initial population is 670, so N0 = 670. After 4 years, the population has reduced to 557, so N(4) = 557. We can plug these values into the formula and solve for r:

\(557 = 670 * (1 - r)^{4}\)

\((557/670)^{1/4} = 1 - r\)

\(0.947 = 1 - r\)

\(r = 0.053\)

So the annual rate of decline is 5.3%.

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Answer:

4m+5=12

Step-by-step explanation:

4(3)+5#12

right hand side is not equal to left hand side

Answer: 4m+5=12

Step-by-step explanation:

The form of a system of inequalities that would allow you to solve for the number of each type of animal that can be won is 10x + 6y = 12.

Given:

A carnival has a game where players can win stuffed animals. the rules allow for players to win no more than 10 small animals, no more than 6 large animals, and no more than 12 total animals.

x be the number of small animals and y be the number of large animals

The number of small animals = 10x

Number of large animals = 6y

The equation:

= 10x + 6y = 12.

Therefore the form of a system of inequalities that would allow you to solve for the number of each type of animal that can be won is 10x + 6y = 12.

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The like terms on the list are given as follows:

\(\sqrt{2}, -3\sqrt{2}, 5\sqrt{2}, \sqrt{50}\)

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted.

In the case the terms are roots, they have the same root.

The square root of 50 is given as follows:

\(\sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}\)

Hence the like terms are given as follows:

\(\sqrt{2}, -3\sqrt{2}, 5\sqrt{2}, \sqrt{50}\)

There are no terms with 3 or 5 on the root, hence the other two terms have no like terms.

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The measure of x in the circle given below is calculated as:

x = 52.

To find the measure of x, recall that a full circle is equal to 360 degrees.

Angle APC is equal to 90 degrees. Therefore we have:

360 - 90 = 5x + 10

270 = 5x + 10

270 - 10 = 5x + 10 - 10 [subtraction property of equality]

260 = 5x

Divide both sides by 5:

260/5 = 5x/5

52 = x

x = 52

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Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

\( \frac{17}{25.5} = \frac{2}{3} \)

To check if 17 really is the 2/3 of 25.5

\(17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17\)

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

\(3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5\)

Answer:

hv iub;k

Step-by-step explanation:

hg bjlh lj

The value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

The given equations are \(y=4x+7\) and \(y=9x+8\).

We have to solve these equations using the substitution method.

Substitution Method

In this method we find the value of one variable from one equation using elimination method and then put that value of that variable in other equation. In simple word we substitute value of one variable from one equation to the other equation.

In the given equation the two equation are

\(y=4x+7\dots\dots\dots\)Equation \((1)\)

\(y=9x+8\dots\dots\dots\)Equation \((2)\)

Putting the value of \(y\) from the Equation \((1)\) in the Equation \((2)\)

\(4x+7=9x+8\)

Subtract \(8\) on both side

\(4x+7-8=9x+8-8\)

Simplifying

\(4x-1=9x\)

Subtract \(4x\) on both side

\(4x-1-4x=9x-4x\)

Simplifying

\(-1=5x\)

\(5x=-1\)

Divide by \(5\) on both side

\(\frac{5}{5}x=-\frac{1}{5}\)

\(x=-\frac{1}{5}\)

Now putting the value of \(x\) in equation \((1)\)

\(y=4(-\frac{1}{5})+7\)

Simplifying

\(y=-\frac{4}{5}+7\)

\(y=-\frac{4}{5}+7\times\frac{5}{5}\)

\(y=-\frac{4}{5}+\frac{35}{5}\)

\(y=\frac{-4+35}{5}\)

\(y=\frac{31}{5}\)

Hence, the value of \(x=-\frac{1}{5}\) and \(y=\frac{31}{5}\).

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Answer:

\( BD \approx 2.6\)

Step-by-step explanation:

By angle bisector theorem:

\( \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6\)

24x - 16 is the answer!

Explanation:

Area of a rectangle = length x breadth

Therefore, Area of the given rectangle will be; 8 (3x-2)

= 24x - 16.

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

The size of the beetle in the photo can be calculated by multiplying the actual size of the beetle (15 mm) by the percentage increase (66%). The calculation is as follows: 15 mm x 66% = 9.9 mm. Therefore, the size of the beetle in the photo is 9.9 mm.

To understand this calculation better, it is helpful to break it down into its individual components. The actual size of the beetle is 15 mm, which is the size of the beetle before it is increased. The percentage increase is 66%, which means that the size of the beetle will be increased by 66% of its original size. The calculation then multiplies the actual size of the beetle (15 mm) by the percentage increase (66%) to determine the size of the beetle in the photo (9.9 mm).This calculation can be used to determine the size of any object in a photo that has been increased to a certain percentage of its original size. All that is needed is the actual size of the object and the percentage increase. The calculation can then be used to determine the size of the object in the photo.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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