Write an equation using x and y to represent the hanger?

Answer:

B

Step-by-step explanation:

Use a calculator and do it step by step.

Answer:

\(0< b\leq 14.5\)

Step-by-step explanation:

Let's set up our equation. We know that rectangles have two pairs of equal sides. We are also given that one pair of those sides is 1 unit longer than the other pair. Finally, we are told that the perimeter is at most 60 meters. 'At most' tells me to set up an inequality.

I'm going to set up two equations to solve this problem. First, let \(a\) be the longer side and \(b\) be the shorter side.

\(2a+2b\leq 60\)

Next, because the sides are consecutive integers and \(b\) is shorter, we can say that \(a-b=1\).

We now have a system of equations. I will solve using substitution.

\(a-b=1\\a=b+1\)

Substitute \(a\) into the first equation.

\(2(b+1)+2b\leq 60\)

Solve algebraically.

\(2b+2+2b\leq 60\\4b+2\leq 60\\4b\leq 58\\b\leq 14.5\)

So, \(b\) could be any integer between 0 (since distance cannot be negative) and 14.5, also written as \(0<b\leq 14.5\).

I hope this helped!

The researcher would likely use an independent samples t-test.

The researcher would likely use an independent samples t-test to test the hypothesis that men and women differ in the amount of time they spend exercising weekly.

This is because an independent t-test is appropriate when comparing the means of two independent groups, in this case, men and women.

However, before conducting the t-test, the researcher should check if the data meets the assumptions of normality and equal variance. If these assumptions are not met, alternative tests such as the Wilcoxon rank-sum test may be more appropriate.

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Answer:

140

Step-by-step explanation:

15/100 = 21

21*100= 21000

21000/15= 140

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

2·9﹣2·29+2·9≈7.1239in

Step-by-step explanation:

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

D   pi/4, 3pi/4

Step-by-step explanation:

Differentiate the function then equal it to zero and solve for the interval (see attached workings)

The solution to the given differential equation dx/dy = -0.8y, with the initial condition y(0) = -6, is y(x) = -6e^(-0.8x). This exponential function represents the particular solution to the equation, satisfying the given initial condition.

The particular solution to the given differential equation dx/dy = -0.8y, satisfying the initial condition y(0) = -6, is y(x) = -6e^(-0.8x), where x represents the independent variable.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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5x+6y is the answer i jope this helps you

Answer:

w+7=-2

Step-by-step explanation:

Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.

In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.

If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.

Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.

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Answer:

12.5

Step-by-step explanation:

for people who don't get another  quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.

Ounces of yogurt need for 10 ounces of blueberries is 8 ounce

Ratio of ounces of blueberries to ounces of yogurt = 4:5

Ounces of yogurt need for 10 ounces of blueberries

Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]

Ounces of yogurt need for 10 ounces of blueberries = 2[4]

Ounces of yogurt need for 10 ounces of blueberries = 8 ounce

So, Option "A" is the correct answer to the following question.

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The time it will take for the metal bar to reach a temperature of 35°F cannot be determined from the given information. None of the provided choices (a, b, c, d) accurately represents the time it will take for the bar to reach the specified temperature.

The rate at which the temperature of the metal bar decreases can be modeled using Newton's law of cooling, which states that the rate of temperature change is proportional to the difference between the current temperature and the ambient temperature. However, the problem does not provide the necessary information, such as the specific cooling rate or the material properties of the metal bar, to accurately calculate the time it will take for the bar to reach a temperature of 35°F.

The given data only mentions the initial and final temperatures of the bar and the time it took to reach the final temperature. Without additional information, we cannot determine the cooling rate or the time it will take to reach a specific temperature.

Therefore, the correct answer is that the time it will take for the bar to reach a temperature of 35°F cannot be determined from the given information. None of the provided choices (a, b, c, d) accurately represents the time it will take for the bar to reach the specified temperature.

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The correct option is (1) less than 10 times the original distance.The original distance was  30 cm and the new distance is 94.86 cm which is less than 10 times the original.

The force of attraction and repulsion among two charged bodies are directly proportional to a product of their charges but inversely proportional to a square of a distance between them, according to Coulomb's law.

It works along the line that connects the two charges that are called point charges.

The formula for Coulomb's law is-

\(f_{}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{}^{2}}\)

where, q₁ and q₂ are the charges;

d is the distance between them.

Now, according to the question;

Two charges that were initially separated by a particular distance are pushed closer together until force between the two is reduced by a factor of ten.

Coulomb's law of force

\(f_{1}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{1}{ }^{2}}\)

d₁ is the initial distance.

So when charges are separated further, a new force is f₂, which is represented as

\(f_{2}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}^{2}}\)

d₂ is the moved distance

As a result, the given force is decreased by ten times its original value.

Thus, \(f_{2}=\frac{f_{1}}{10}\)

use the expression in both forces

\(\begin{gathered} \frac{f_{1}}{10}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\\frac{q_{1} q_{2}}{4 \times 10 \pi \epsilon d_{1}{ }^{2}}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\ \frac{1}{10 \times d_{1}{ }^{2}}=\frac{1}{d_{2}{ }^{2}} \\ d_{2}=\sqrt{10} d_{1}\end{gathered}\)

Now, calculate the moved distance d₂,

\(\begin{aligned}& d_{2}=\sqrt{10} d_{1} \\ & d_{2}=\sqrt{10} \times 30 \\& d_{2}=3.162 \times 30 \\ & d_{2}=94.868 \mathrm{~cm}\end{aligned}\)

The new distance is 94.868 cm.

Therefore, the new obtained distance is less than the 10 times the original distance.

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The complete question is-

Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10.  Is the new distance

(1) less than 10,

(2) equal to 10, or

(3) greater than 10;

times the original distance? If the original distance was 30 cm.

Answer:

-7w

Step-by-step explanation:

-2w - 5w are like terms because they both have "w"

-2 - 5 = -7

The volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

What is volume?

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.

The formula to calculate the volume of the cube is given by:

Volume = \(a^{3}\), where a is the length of its sides or edges

Length of solid wooden cube= \(\frac{4}{5} cm\)

Length of smaller wooden cube= \(\frac{1}{3} cm\)

Volume of the large cube = \((\frac{4}{3} )^{3}\)

Volume of the large cube = \(\frac{64}{125} cm^{3}\)

Volume of the small cube = \(\frac{1}{5} cm^{3}\)

Volume of the small cube = \(\frac{1}{125} cm^{3}\)

Volume of block after cutting out the smaller cubes is

                = \(\frac{64}{125} -\frac{(8)(1)}{125}\)

                = \(\frac{64-8}{125}\)

                =\(\frac{56}{125}\)\(cm^{3}\)

Hence, the volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

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Answer:

-20c^2 d^3 - 16cd^2

Step-by-step explanation:

A. -20c3 is the correct answer

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer:

Sales tax on selling price:  $2232.50(0.03) = $66.98

Step-by-step explanation:

List price:  $2350

5% discount:  0.05($2350) = $117.50

Sale (selling) price:  List price less discount:  $2350 - $117.50 = $2232.50

Sales tax on selling price:  $2232.50(0.03) = $66.98

The equation of the quadratic function with four times the maximum width,  with a maximum of 3 and an axis of symmetry of x = -2 is given as follows:

y = -4(x + 2)² - 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The width is four times the normal width and the function has a maximum, hence the leading coefficient is given as follows:

a = -4.

Considering the axis of symmetry and the maximum, the parameters h and k are given as follows:

h = -2, k = 3.

Hence the function is defined as follows:

y = -4(x + 2)² - 3.

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The conclusion that can be made from the given observations is that the dew factor temperature is 90% of the air temperature.

Humidity is the quantity of water vapor withinside the air. If there is lots of water vapor withinside the air, the humidity might be high.

The temperature have to upward push so as for air to come to be saturated with water vapor.

The air holds little water vapor and is rather dry.

The quantity of water vapor withinside the air is 90% of what the air can hold.

The dew factor temperature is 90% of the air temperature.

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Answer: 3a^2/2b^3

Step-by-step explanation: I'm doing this term by term.

Final answer: 3a^2/2b^3

As per the function represented by the table, the correct function notation is f(5) = 9.

Given a function represented by a table is shown as follows:

x| 2 | 5 | 9

y| 9 | 14| 5

We can say that the ordered pair given in the bottom row can be written using function notation as f(5) = 9.

Function notation is a method to represent functions, and it is usually used in mathematics to make it easier to work with functions.

It helps to identify the input, the function, and the output of a function.

Using function notation:In function notation, the input is represented by the variable x, and the output is represented by the variable y.

Therefore, we can say that f(x) = y.

Using the table, we can see that when x = 5, y = 14.

So, f(5) = 14 is the correct answer to the given question.

Here, we see that the x and y coordinates are swapped from what we are used to.

The correct function notation is f(5) = 9.

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(a) If f(x) is a convex function with x ∈ ℝⁿ, then all local minima of f(x) are also global minima. In other words, if there exists a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo, then f(x) ≥ f(xo) for all x ∈ ℝⁿ.

(b) A graph of a non-convex function can be visualized to understand why the statement in part (a) is not true. It will show a scenario where a local minimum is not a global minimum.

(a) To prove that all local minima of a convex function are also global minima, we can utilize the property of convexity. Suppose there is a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo. We assume that xo is a local minimum. Now, consider any arbitrary point x in ℝⁿ. We can express x as a convex combination of xo and another point y in the neighborhood, using the convexity property: x = λxo + (1 - λ)y, where λ is a scalar between 0 and 1. Using this expression, we can apply the convexity property of f(x) to get f(x) ≤ λf(xo) + (1 - λ)f(y). Since f(x) ≥ f(xo) for all x in the neighborhood, we have f(y) ≥ f(xo). Therefore, f(x) ≤ λf(xo) + (1 - λ)f(y) ≤ λf(xo) + (1 - λ)f(xo) = f(xo). This inequality holds for all λ between 0 and 1, implying that f(x) ≥ f(xo) for all x ∈ ℝⁿ, making xo a global minimum.

(b) A graph of a non-convex function can demonstrate a scenario where the statement in part (a) is not true. In such a graph, there may exist multiple local minima, but one or more of these local minima are not global minima. The non-convex nature of the function allows for the presence of multiple valleys and peaks, where one of the valleys may contain a local minimum that is not the overall lowest point on the graph. This occurs because the function may have other regions where the values are lower than the local minimum in consideration. By visually observing the graph, it becomes apparent that there are points outside the neighbourhood of the local minimum that have lower function values, violating the condition for a global minimum.

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Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

El problema que se plantea es un caso de congruencia modular. La solución más eficiente es usar el Teorema Chino del Resto, que afirma que si a_1, a_2, ..., a_k son números enteros no negativos y n, m_1, m_2, ..., m_k son números enteros mayores a cero que son coprimos entre sí (es decir, el máximo común divisor de m_i y m_j es 1 para todo i y j), entonces existe un único número x (modulo M=m_1m_2...*m_k) que satisface las congruencias:

x ≡ a_1 (mod m_1)

x ≡ a_2 (mod m_2)

...

x ≡ a_k (mod m_k)

En el caso de Pablo, aplicamos el teorema con a_1 = 5, m_1 = 7, a_2 = 5, m_2 = 8 y a_3 = 5, m_3 = 9. Luego, M = 7 * 8 * 9 = 504, y buscamos el menor x positivo tal que x ≡ 5 (mod 7), x ≡ 5 (mod 8) y x ≡ 5 (mod 9).

Para calcular el x que satisface la condición, es necesario encontrar los inversos modular de m_i y aplicar la fórmula del teorema. Sin embargo, en este caso es posible encontrar una solución de manera intuitiva, observando que el menor número positivo que es múltiplo de 7, 8 y 9 es 63. Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

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Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Component of a along c = (a . c) / |c|

To find the component of vector a along vector c, we need to use the formula:

component of a along c = |a| cos(theta)

where |a| is the magnitude of vector a, and theta is the angle between vectors a and c.

To calculate the angle between vectors a and c, we can use the dot product:

a . c = |a| |c| cos(theta)

Rearranging this equation, we get:

cos(theta) = (a . c) / (|a| |c|)

Substituting this expression for cos(theta) into the formula for the component of a along c, we get:

component of a along c = |a| (a . c) / (|a| |c|)

Simplifying this expression, we get:

component of a along c = (a . c) / |c|

Therefore, the component of vector a along vector c is equal to the dot product of vectors a and c, divided by the magnitude of vector c.

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