The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
s = StartFraction 3 Over 10 EndFraction m
s = StartFraction 10 Over 3 EndFraction m
m = StartFraction 3 Over 10 EndFraction s
m = StartFraction 1 Over 30 EndFraction s

Answer:

With what?

Step-by-step explanation:

Answer:

cant help uoi b1t ch

Step-by-step explanation:

22.6666666667 or 22.67

3, 25, 25, 26, 27, 30

25 and 26 are middle numbers, so 25.5 is median

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hope it helps

Answer: 136

Explaining: 3+25+26+30+27+25

Answer:4k

Step-by-step explanation:

Answer:

To solve this equation, we need to find the value of x that makes the equation true. First, we can isolate the absolute value expression on one side of the equation by subtracting 4 from both sides:

|7-x| = 2x + 1

Next, we need to consider two cases: one in which the expression inside the absolute value is positive, and one in which it is negative.

If the expression inside the absolute value is positive, then the absolute value is equal to the expression itself. In this case, we can substitute the expression back into the equation:

7-x = 2x + 1

Solving this equation, we find that x = -1.

If the expression inside the absolute value is negative, then the absolute value is equal to the opposite of the expression. In this case, we can substitute the opposite of the expression back into the equation:

-(7-x) = 2x + 1

Solving this equation, we find that x = 3.

Therefore, the value of x that makes the equation |7-x|+ 4 = 2x + 5 true is x = 3.

Step-by-step explanation:

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer: Do you have a picture or a diagram

Step-by-step explanation:

Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?

To calculate the sum of the angle measures of a polygon with n sides we use the formula:

for a 205-gon

The sum of the angles of a 205-gon is 36540°

Grey have to pay $157.5 on monthly basis to keep his home insured, so the correct option is b.

Given:

Grey purchased a house = $450,000

Annual Insurance premium = $0.42 per $100 of value.

We need to calculate monthly premium to pay such that home insured.

Now we calculate number of 100 in $450,000

Number of 100 = 4500

The premium value of 1 hundred = $0.42

Total value of 4500 hundred = 0.42 x 4500 = $1,890

Grey total premium in 1 year = $1,890

Now we find monthly premium

We know in 1 year total number of month is 12

In 12 month premium = $1,890

In 1 month premium = 1890÷12 = 157.5

Monthly premium for home insured = $157.5

Therefore, Grey have to pay $157.5 on monthly basis to keep his home insured.

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To display all the equivalence relations on the set of the m smallest positive integers, we need to consider the different ways in which we can partition the set. The number of equivalence relations is related to the number of partitions, and it can be calculated using combinatorial techniques.

An equivalence relation on a set is a relation that is reflexive, symmetric, and transitive. In the case of the set of the m smallest positive integers, we can represent each equivalence relation as a partition of the set. A partition is a collection of non-empty disjoint subsets that, when combined, cover the entire set.

To find all the equivalence relations, we need to consider all possible partitions of the set. The number of partitions can be calculated using the concept of Bell numbers, which count the number of ways to partition a set. The formula for calculating the Bell number B(n) is recursive and involves summing the Stirling numbers of the second kind.

Once we have determined the number of partitions, we can generate each equivalence relation by listing the subsets that form each partition. Each subset represents an equivalence class, and the union of all the subsets gives the original set. In summary, to display all the equivalence relations on the set of the m smallest positive integers, we need to generate all possible partitions of the set. The number of equivalence relations is related to the number of partitions and can be calculated using combinatorial techniques such as Bell numbers. Each equivalence relation can be represented by listing the subsets that form each partition, with each subset representing an equivalence class.

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Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

Answer:

Step-by-step explanation:

a=graph

b= x=2

Answer:

C. 28

Step-by-step explanation:

-4×(-7)

Open bracket

-4×-7

=28

Answer:

A=38.24

Step-by-step explanation:

Compound Area

The figure shows a shape formed by two shapes: Half a circle and a trapezium.

The circle has a radius of r=5.2/2=2.6 and the trapezium has a height of h=6.5 and bases b1=5.2 and b2=3.3.

The area of half a circle is:

\(\displaystyle A_c=\frac{\pi r^2}{2}\)

Using pi = 3.14:

\(\displaystyle A_c=\frac{3.14\cdot 2.6^2}{2}=10.6132\)

The area of the trapezium is:

\(\displaystyle A_t=\frac{b_1+b_2}{2}.h\)

\(\displaystyle A_t=\frac{5.2+3.3}{2}\cdot 6.5=27.625\)

The total area of the figure is:

\(A=10.6132+27.625=38.2382\)

Rouning to the nearest hundredth:

A=38.24

Answer:1881 6040mph 18x

Answer:

The answers are in the picture I attached to this response.

Step-by-step explanation:

(1) The equation of a line, in slope-intercept form, is: \(y = mx + b\), where m is the slope, and b is the y-intercept.

⭐ What is the slope (m) mean?

⭐ What is the y-intercept (b) mean?

To find the slope, we need to use the formula: \(m = \frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((y_1, y_2)\) are coordinates you are given.

In this problem, you are given the coordinates (2,6) and (4,9). Let's substitute these coordinates into the slope formula.

\(m = \frac{9-6}{4-2}\)

\(m = \frac{3}{2}\)

Now, substitute the value of m into the equation of a line.

\(y = \frac{3}{2}x + b\)

All we have to do now is substitute the value of b. We are already given that the line intersects the y-axis at (0,3), which means that (0,3) is the y-intercept.

\(y = \frac{3}{2}x + 3\)

⭐ How do we graph this equation?

(3) Start by taking the square root of 44 on a calculator.

You should get an irrational number (a number that's digits never terminate or repeat).

Whenever you have questions like these, you are expected to round the number to the nearest tenth.

\(\sqrt{44} = 6.6332495807107996982298654733414\\\\\sqrt{44} = 6.6\)

Choose a place on the number line to start your positive integers (1,2,3 . . .) and plot the point 6.6.

6.6 should be a bit after 6.5, which is in between 6 and 7.

Answer

Explanation

Given:

To determine the value of g(f(x)), we substitute x with 1/3x^2+4 for g=9x-12:

Therefore, the value of g(f(x)) is C:

Let Q=k\(g^{x} h^{y} c^{z}\)  where x,y,z are the dimensions and k is dimensionless constant. It will give the Planck's length.

This length is the Planck length, and it is 1.6 x 10-35 meters. Writing the dimensions in Q, we will get the following expression :

[M0L1T0]=(M−1L3T−2)x(ML2T−1)y(LT−1)z   = M−x+yL3x+2y+zT−2x−y−z

Applying the principle of homogeneity of dimensions, we get

−x+y=0∴y=x.      iii

3x+2y+z=1         iv

−2x−y−z=0        

Add (iii) & (iv) x+y=1 or x+x ,x=1/2

From Q, y=x=12

From (iv) z=−2x−y=−2(12)−12=−32

Put in (i) Q=kG1/2h1/2c−3/20

Q=kGhc^3

Taking k=1 and putting the standard values : G=6.67×10^−11 SI units.

h=6.63×10^−34-sec

c=3×10^8m/s , we get

Q≅ \(10^{-35}\) m

This length is called Planck's length.

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Answer:

  = 2^(3·1/4·1/2) = 2^(3/8)

Step-by-step explanation:

You want to simplify ...

  \(\sqrt{\sqrt[4]{8}}\)

The useful rules of exponents are ...

  \(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\(a^b)^c=a^{bc}\)

Recognizing 8 = 2³, you can use fractional exponents to represent the roots, then simplify the exponent of the result.

  \(\sqrt{\sqrt[4]{8}} = ((2^3)^{\frac{1}{4}})^{\frac{1}{2}}=2^{3\cdot\frac{1}{4}\cdot\frac{1}{2}}=2^{\frac{3}{4\cdot2}}=\boxed{2^{\frac{3}{8}}}\)

__

Additional comment

In plain text, this is written 2^(3/8). Both the caret and the parentheses are required.

Answer:

\( = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\)

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Answer:

Got a pick your head up oooooooooh

Answer:

m>24

26>m-4

m=24

Value of 5 Liters volume is approximately 1.3208 Gallons. both are unit of measurement of Volume.

To convert liters (L) to gallons (gal),

you can use the conversion factor 1 L = 0.264172 gal. To convert 5 liters to gallons, you would multiply 5 by 0.264172, which gives you 1.3208 gallons. It is important to note that the liter and the gallon are both units of measurement for volume, but the liter is a metric unit, while the gallon is an imperial unit.

The imperial system of measurement is primarily used in the United States, while the metric system is used internationally. When traveling or working with people from different parts of the world, it is important to be able to convert between these units of measurement to ensure accurate communication.

Keep in mind that the American gallon is smaller than the Imperial gallon, which is primarily used in the United Kingdom, so you should always check the context of the measurement you are working with. Additionally,

it is important to note that the liter is a unit of volume and not a unit of weight, and as such, you should use a different conversion factor when converting between weight measurements.

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Gerard has encountered a problem with attrition in his study. Attrition refers to the loss of participants or subjects who leave a study before it is completed. It can occur for various reasons, such as illness, death, disinterest, loss of contact with the participants, or other factors.

In Gerard's study, 75 percent of the participants have dropped out. This level of attrition is particularly high and could cause problems with the validity and reliability of the study's findings. When a significant number of participants drop out of a study, it can create biases in the data that remain, which could make it challenging to generalize the findings to the larger population or come to valid conclusions.

Therefore, Gerard must address this issue and determine why such a high percentage of participants have dropped out. To ensure the accuracy of the findings, he may need to replace the missing participants or consider the potential reasons for their departure when analyzing the data.

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explain in a different way I can't understand what your saying?

Answer:

so the anserw was dukiemane cuz u duike

Step-by-step explanation:

dukie

Answer:

Step-by-step explanation:

j

Answer:

J- 6/4 = h/20

Step-by-step explanation:

J- 6/4 = h/20

6 is similar to h and 4 to 20.

Cross multiply

6 (20) = 4h

120/4 = 4h/4

30 = h

True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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Answer:

y=15-x

Step-by-step explanation:

3y=45-3x

y=15-x

If you want to solve for y, you need another one equation

Answer:

y = -x + 15

Step-by-step explanation:

Subtract 3x from each side (left and right side of the equal sign) which will leave you with 3y = -3x + 45. Then divide everything by 3 which gets you

y = -x +15

The characteristic of any function created by the product of two linear factors has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

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To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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