a)T= √n, find the value of T when n=1HH.
b) Given that T:
Make 'n' the subject
Formula.

Answer:

I think the system has infinite solutions.

Step-by-step explanation:

An equation in slope-intercept form to represent this linear function is y = 65x + 40.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Let the fee per month = x.

Given that, A membership at Rocky Heights Climbing Gym costs $65 per month plus a $40 initial fee.

y = 65x + 40.

Hence, an equation in slope-intercept form to represent this linear function is y = 65x + 40.

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The second statement is the most commonly used way of writing 223 as a combination of a whole number and a fraction, but there are many other ways to express it.

What is a fraction ?

A fraction is a mathematical concept used to represent a part of a whole. It is represented by two numbers separated by a line, called a fraction bar or a solidus. The number above the line is called the numerator, and the number below the line is called the denominator

223 can be written as:

223 wholes and 0/1 as the fraction

222 wholes and 1/1 as the fraction

221 wholes and 2/1 as the fraction

...

0 wholes and 223/1 as the fraction

Note that

Therefore, the second statement is the most commonly used way of writing 223 as a combination of a whole number and a fraction, but there are many other ways to express it.

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c²=a²+b²

(51)²=(24)²+b²

2601=576+b²

2601-576=b²

2,025=b²

√2025=√b²

b= 45

the length of the other leg of the triangle is 45 cm

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

To find the volume of a triangular prism, you need to calculate the area of the triangular base and then multiply it by the height of the prism. First, calculate the area of the base by finding the length of the triangle's sides and then using the Heron's Formula. Then, multiply the area of the base with the height of the prism to get the volume of the triangular prism. For example, if the length of the sides of the triangle is 3, 4 and 5, then the area of the base is 6 and the height of the prism is 8, then the volume of the prism is 48.

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The length of the other leg of the triangle is 45 cm.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

To find the volume of a triangular prism, you need to calculate the area of the triangular base and then multiply it by the height of the prism. First, calculate the area of the base by finding the length of the triangle's sides and then using the Heron's Formula. Then, multiply the area of the base with the height of the prism to get the volume of the triangular prism. For example, if the length of the sides of the triangle is 3, 4 and 5, then the area of the base is 6 and the height of the prism is 8, then the volume of the prism is 48.

According to Pythagoras theorem.

c² = a²+b²

(51)² = (24)²+b²

2601 = 576+b²

2601-576 = b²

2,025 = b²

√2025 = √b²

b = 45

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There are various online tools and calculators available to calculate Pythagorean triples, which are sets of three integers that satisfy the Pythagorean theorem a² + b² = c², with c being the hypotenuse of a right triangle.

To calculate Pythagorean triples online, you can use tools such as online Pythagorean triple calculators, which allow you to input the value of one of the sides of a right triangle and then automatically generate the values of the other two sides. Some online calculators also allow you to enter a range of numbers and generate a list of all the Pythagorean triples within that range.

Other tools include apps and software that can be downloaded onto your computer or mobile device. These tools are useful for solving problems in geometry, physics, and other fields that involve right triangles and the Pythagorean theorem.

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720 hours is equal to 30 days.

One hour contains 60 minutes or 3,600 seconds.

In one day there are 24 hours.

Earth requires 24 hours to complete one rotation.

It is defined as exactly 86,400 seconds.

1 Hour equal to 0.041666667 Days

We have to convert 720 hours to days,

We have to divide the number of given hours by the number of hours in one day.

There are 24 hours in a day,

so we can write it as:

720 hours / 24 hours/day = 30 days

Hence, After conversion we get  720 hours is exactly equal to 30 days.

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The the required equation is, y = -7/4 *x - 7 , in slope-intercept form.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have

from the given graph we get,

the line passes through two points (-4,0) and, (0,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-0)/(x+4)=(-7-0)/(0+4)

=>4y= -7x -28

=>y = -7/4 *x - 7

Hence, the required equation is, y = -7/4 *x - 7 , in slope-intercept form.

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

[tex]f'(x) = lim (h → 0) [f(x + h) - f(x)] /h[/tex]

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression [tex]( f(x + h) - f(x)) / h[/tex] represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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The value of x found using the properties of the isosceles triangle is  92°.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Although this triangle's two sides are equal, the base of the triangle is the side that is not equal.

Given a = 22°

Since it is an isosceles triangle, a = 1 = 22°

One of the properties of a triangle is that the exterior angle of a triangle is equal to the sum of the two interior opposite angles.

Here ∠2 is the exterior angle of the first isosceles triangle.

So ∠2 = ∠1 + a = 22 + 22 = 44°

Now∠ 3 = ∠2 = 44°

∠x = 180 - (∠2+∠3) = 180 - (44+44) = 92°

∠4 = 180 - (x+∠1) = 180 - (92+22) = 66°

∠5 = ∠4 = 66°

∠y = 180 - 66 -66 = 48°

∠6 = 180 - ∠y - ∠3 = 180 - 48 - 44 = 88°

∠7 = ∠6 = 88°

∠x = 180 - ∠7 = 180- 88 = 92°

Therefore the value of x found using the properties of the isosceles triangle is  92°.

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Answer:

No she didn't meet her goal

Step-by-step explanation:

Time taken by Karen = 43.52 seconds

Time taken by Annie = 4.08 seconds less than Karen or 43.52-4.08 = 39.44 seconds

No. Annie missed her goal by 0.06 seconds

Answer:

Step-by-step explanation:

25,584km

Answer:

Step-by-step explanation:

120.96

Answer:

589

Step-by-step explanation:

divide the money they spend on 3 weeks by 3 zo you will get how much they spend one week

1767/3=589

Using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

A ratio in mathematics displays how often one number occurs in another.

For instance, if there were eight oranges and six lemons on a fruit platter, the ratio of oranges to lemons would be eight to six.

In comparison to lemons, which make up 6:8, oranges account up 8:14 of the overall fruit.

A calculator will return a result of 0.6 decimals if you enter this.

In other words, any two numbers that divide to produce the same result are equal to 3/5.

So, the area of the 1st garden:

9 ft long and 61/2 ft wide

The area of the 2nd garden:

36 ft long and 6/1/2 ft wide

Now, since the breadth is the same, let's consider the length:

9ft and 36ft

9:36

9/36

1/4

Therefore, using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

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Answer:

The 2nd garden is 4 times bigger because you do

9:36

9/36         which gets you ur answer

1/4

Step-by-step explanation:

I hope this helped :) Brainliest please?

Answer: 1 hour

Step-by-step explanation: 3/3 = 1 you divide by 3 to get a third

Answer:

1 hour

Step-by-step explanation:

To solve this, we can multiply 3 by [tex]\frac{1}{3}[/tex].

Therefore, [tex]\frac{1}{3}[/tex] of 3 hours is 1 hour.

Answer:

D

Step-by-step explanation:

the last one, because sin(0)=0, cos(0)=1.

The measurements of AB = 20 in and AC = 10 in

Triangles that are similar to each other have corresponding sides that are proportional to one another and corresponding angles that are equal to one another.

Triangles with similar appearances can have varying diameters. In a set of similar triangles, the ratio of corresponding sides will be equal.

Here we have

Two Similar  triangles ABC and CDE  

Since the two triangles are Similar

=> AB/DE = AC/EC = BC/DC

Substitute each measurement of the sides

=> AB/16  = AC/8 = 15/12  

Take, AB/16 = 15/12  

=> AB/16 = 5/4

=> AB = 5(16)/4

=> AB = 20 in  

Take AC/8 = 15/12  

=> AC = 15(8)/12

=> AC = 15(2)/3

=> AC = 10

Therefore,

The measurements of AB = 20 in and AC = 10 in

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The decimal 5.5 in simplified fraction can be expressed as  11/2 .

A Fraction is defined as a mathematical expression that represents a part of a whole or a ratio between two quantities .

The decimal 5.5 can be written as 5.5/1 ;

In order to remove the decimal, we multiply the numerator and denominator by 10, which moves the decimal point one place to the right:

⇒ 5.5/1 = 55/10

Since the numerator 55 and denominator 10 , have a common factor of 5,

So , we divide both the numerator and denominator by the common factor "5" ;

We get ;

⇒ 55/10  = 11/2 ;

Therefore, the decimal 5.5 is equivalent to the fraction 11/2 .

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The given question is incomplete , the complete question is

How to convert the decimal 5.5 as a fraction ?

Answer:

The formula for the volume of a cylinder is:

V = πr^2h

where r is the radius of the cylinder and h is its height.

In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:

V = π(x+3)^2(x+11)

Simplifying this expression, we have:

V = π(x^2 + 6x + 9)(x+11)

V = π(x^3 + 17x^2 + 69x + 99)

Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.

The quotient of 25 divided by 25,704 is approximately 0.00097 (rounded to five decimal places).

When splitting huge numbers, the task is divided into several sequential steps using the long division approach. The dividend is divided by the divisor, just like in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

The long division for 25 divided by 25,704 is shown below:

code :

0.00097

-------

25704 | 25.00000

      0

      --

     250

     257

     ---

      -7

As a result, the result of 25 divided by 25,704 is almost 0.00097. (rounded to five decimal places).

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Answer:

3) Likely

Step-by-step explanation:

75% chance

Based on the currency exchange rate you gave, 1 British pound (GBP) is equal to 1.202639 American dollars (USD) as of February 20, 2023.

In other words, if you were to swap 1 GBP for USD, you would get back 1.202639 USD.

Again, it's crucial to remember that exchange rates are frequently susceptible to changes due to a variety of economic and political variables, and the real rate may be different at the time of your transaction.

Before performing any currency conversions or foreign transactions, it is usually a good idea to verify the current exchange rate.

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The equation has x = 2 and x = 5. A valid solution for x is x = 5

From the question, we have the following parameters that can be used in our computation:

√(x - 1) - 5 = x - 8

Add 5 to both sides

This gives

√(x - 1)  = x - 3

Square both sides

So, we have the following representation

x - 1 = x² - 6x + 9

Evaluate the like terms

x² - 7x + 10 = 0

This gives

(x - 2)(x - 5) = 0

Solve for x

x = 2 and x = 5

Testing the solutions, we have

√(2 - 1) - 5 = 2 - 8

-4 = -6 ---- falsee

√(5 - 1) - 5 = 5 - 8

-3 = -3 ---- true

Hene, the valid value of x is 5

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Answer:

La fórmula para calcular el balance (en dólares) de una inversión con una

A = P(1 + r/n)^(nt)

Donde:

A es el balance total después de t años

P es el depósito inicial

r es la tasa de interés anual expresada como decimal (5% = 0.05)

n es la frecuencia de capitalización por año (en este caso, 4 para compuestos trimestrales)

t es el tiempo en años

Sustituyendo los valores dados, la función que representa el balance después de t años es:

A(t) = 5000(1 + 0,05/4

b. Para encontrar el balance actual, podemos simplemente evaluar la función A en t = 0, lo que nos da:

A(0) = 5000(1 + 0,05/4

Por lo tanto, el balance actual de la cuenta es de $5000.

c. Supongamos que el costo de la matrícula y los gastos de su primer año en la universidad suman $20,000. Para determinar si la inversión cubrirá el costo, podemos evaluar la función A en t = 12 (es decir, después de 12 años desde el depósito inicial) y compararla con el costo de la matrícula y los gastos.

A(12) = 5000(1 + 0.05/4)^(4(12)) = $10,768.49

Como el balance de la cuenta después de 12 años es menor que el costo de la matrícula y los gastos, se necesitará más dinero para cubrir el costo del primer año de universidad. La cantidad adicional requerida será:

$20,000 - $10,768.49 = $9,231.51

Por lo tanto, se necesitarán $9,231.51 adicionales para cubrir el costo del primer año de universidad.

Step-by-step explanation:

tal vez te sirve esto

A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, as correlation does not imply causation.

Correlation is a statistical measure that describes the strength and direction of a relationship between two variables. A correlation coefficient ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation. Correlation does not imply causation, meaning that just because two variables are correlated does not mean that one causes the other.

In an observational study, researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.

Observational studies can suggest possible relationships between variables, but they cannot prove causation. This is because there may be other factors that are influencing the relationship between the variables, and these factors cannot be controlled or accounted for in an observational study. In order to establish causation, researchers need to conduct experiments where they can manipulate the variables and control for other factors that may influence the outcome.

Therefore, a correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, as correlation does not imply causation.

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The correct statements are: B and C.

What is the linear functions?

linear functions, specifically comparing their rate of change and y-intercepts.

To compare the properties of Function A and Function B, we need to first determine the equations for both functions.

From the table, we can see that Function A has a rate of change of 3 and a y-intercept of 4. Therefore, the equation for Function A is y = 3x + 4.

To find the equation for Function B, we can use two of the given points to calculate its rate of change and y-intercept. Using the points (1, 2) and (4, 14), we get:

rate of change = (14 - 2) / (4 - 1) = 4

y-intercept = 2 - 4(1) = -2

Therefore, the equation for Function B is y = 4x - 2.

Now we can compare the properties of the two functions:

A. The rate of change of Function A is greater than the rate of change of Function B. False, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

B. The rate of change of Function A is less than the rate of change of Function B. True, since the rate of change of Function A is 3, which is less than the rate of change of Function B, which is 4.

C. The y-intercept of Function A is greater than the y-intercept of Function B. True, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

D. The y-intercept of Function A is equal to the y-intercept of Function B. False, since the y-intercept of Function A is 4 and the y-intercept of Function B is -2.

E. The y-intercept of Function A is less than the y-intercept of Function B. False, since the y-intercept of Function A is 4, which is greater than the y-intercept of Function B, which is -2.

F. The rate of change of Function A is equal to the rate of change of Function B. False, since the rate of change of Function A is 3 and the rate of change of Function B is 4.

Hence, the correct statements are: B and C.

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The compound interest at the end of 6 years is $1725.14

Compound interest is a type of interest that is calculated not only on the initial principal amount but also on any accumulated interest that has been added to the principal. In other words, the interest that is earned on the principal is added to the principal, and then interest is calculated on the new total.

The formula for compound interest compounded continuously is

A = Pe^rt

A = 1100e^(0.075 * 6)

A = $1725.14

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Answer:

Therefore, the unknown number is 5.

Step-by-step explanation:

We can translate "Eight times the difference of a number and six is negative eight" into an algebraic equation as given below,

8(x - 6)

= -8                (where x is the unknown number we are trying to find)

The expression "the difference of a number and six" means x - 6. So, "eight times the difference of a number and six" means 8(x - 6).

The equation states that the product of 8 and the difference of the number x and 6 is equal to -8.

To solve for x, we can simplify the equation,

8(x - 6) = -8

8x - 48 = -8

8x = 40

x = 5

Therefore, the unknown number is 5.

The GDP deflator reflects only the prices of all goods and services produced domestically, whereas the CPI (Consumer Price Index) reflects the prices of a fixed basket of goods and services purchased by consumers.

The GDP deflator is a measure of the average level of prices of all new, domestically produced, final goods and services in an economy. It measures the ratio of the value of goods and services produced in a given year at current prices to their value at base year prices. In contrast, the CPI measures the average change over time in the prices paid by urban consumers for a fixed basket of goods and services, including food, housing, transportation, and other goods and services. The GDP deflator is often used to adjust nominal GDP (Gross Domestic Product) to real GDP, which is a measure of economic output that takes into account the effects of inflation. The CPI, on the other hand, is used to adjust income and spending data for changes in the cost of living. In summary, while both the CPI and GDP deflator are measures of inflation, they reflect different aspects of the economy. The CPI reflects the prices paid by consumers for a fixed basket of goods and services, while the GDP deflator reflects the prices of all goods and services produced domestically.

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Complete Question

the CPI for this year is calculated by dividing the using by the using and multiplying by 100. however, the GDP deflator reflects only the prices of all goods and services            . Fill in the blanks.