if 'a' is the Geometric mean of 2 and 1/4 then find 'a'

The expression that is equivalent to 734 + 356 - 134 using addition instead of subtraction is:

734 + 356 + (-134)

Answer:

706+350 = 956

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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The volume of the rectangular prism in the image is 480 cubic units.

What is volume ?

Volume is a measurement of the amount of space occupied by a three-dimensional object. It is a physical quantity that is measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

The image shows a rectangular prism with a length of 12 units, a width of 8 units, and a height of 5 units.

To find the volume of a rectangular prism, you need to multiply its length, width, and height.

So, the volume of the rectangular prism in the image is:

Volume = length x width x height

Volume = 12 units x 8 units x 5 units

Volume = 480 cubic units

Therefore, the volume of the rectangular prism in the image is 480 cubic units.

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The domain is 0 ≤ x ≤ 52. The maximum number of laws that she can mow with 13 gallons is of 52, and the minimum number is of 0.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 13, hence the intercept b is given as follows:

b = 13.

When x increases by 20, y decays by 5, hence the slope m is given as follows:

m = -5/20

m = -0.25.

Hence the function is:

y = -0.25x + 13.

From the intercept, the minimum amount can be mowed is given as follows:

0.

The maximum amount is given as follows:

-0.25x + 13 = 0

0.25x = 13

x = 13/0.25

x = 52.

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Answer: Roughly 104.94 (because we need to use pi, and pi must round because it never ends). I really hope this helps!

Step-by-step explanation:

First, we know that to solve a circle's area, we do a(Area)=pi times radius squared. So, if the diameter of the circle is 14, then the radius is 7 (half of the diameter). That becomes pi (roughly 3.14) times 7 squared, which gives ur roughly 153.94 (because pi is never ending, so we have to round.)

If we know that the circle's area is about 153/94, and we know that the triangle's height is 7(because from the center point to the top point on the triangle, if exactly half of the full circle (diameter/2=radius, and radius is 7). Then, we would do 14 times 7(height times length) and that gives us 98, and divide by 2 which gives us 49.

Subtracting 49 from the circle's area (153.94) gives us an answer of roughly 104.94.

Answer:

918

Step-by-step explanation:

Answer:

Step-by-step explanation:

140 cm to inches is 55.1181 or roughly 55 inches.

Answer:

388

Step-by-step explanation:

There will be 388 sixth graders because you just have to do 425 minus 37 if your not sure how to do it just line the numbers up for the tenths to the hundreds

The conversion of 23/32 cm in inches is 0.283464844 inches.

Centimeter (cm) and inch are both units of measurement used to express length or distance.

Centimeter is a metric unit of length used in the International System of Units (SI) and is equal to one hundredth of a meter.

To convert 23/32 centimeters (cm) to inches, we can use the conversion factor of 1 cm = 0.393701 inches.

First, we can convert 23/32 cm to cm as a decimal by dividing the numerator (23) by the denominator (32):

23/32 cm = 0.71875 cm

Then, we can use the conversion factor to convert 0.71875 cm to inches:

0.71875 cm × 0.393701 inches/cm = 0.28346484375 inches (rounded to nine decimal places)

Therefore, 23/32 cm is approximately equal to 0.283464844 inches.

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Correct Question:

What is the conversion of 23/32 cm in inches ?

No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.

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The retail price of the car at the dealership is $9,803.90. This means that the dealership is adding a markup of $1,453.90, or 17.4% of the cost, to sell the car to customers.

To find the retail price of the car at the dealership, we need to add 17.4% to the dealership's cost of $8,350. Here are the steps to do this calculation:

Multiply the cost of the car by the percentage markup as a decimal. To convert a percentage to a decimal, divide it by 100. So 17.4% as a decimal is 0.174.

Markup = $8,350 x 0.174 = $1,453.90

Add the markup to the cost of the car to get the retail price.

Retail Price = $8,350 + $1,453.90 = $9,803.90

It's important to note that the final selling price of the car may be negotiable, and that other fees and taxes may also be added to the retail price.

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Answer: 64juu5

Step-by-step explanation:

your gay

In regression analysis, the variable being explained or predicted is called option (b) dependent variable.

The dependent variables are defined the variable the depends up on other variables. The independent variable(s) are the variables that are believed to have an influence on the dependent variable and are used to explain or predict the variation in the dependent variable.

The regression variable(s) refer to the variables that are included in the regression model as predictors, whether they are independent or dependent. The residual variable refers to the difference between the observed values of the dependent variable and the predicted values from the regression model.

Therefore, the correct option is (b) dependent variable

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The absence of unexpected values or discontinuities is referred to as a function's continuous nature.

A continuous function is one in which a shift in the argument causes a continuous change in the value of the function, which is a change without a noticeable jump. This shows that there are no abrupt changes in value or discontinuities. More exactly, a function is continuous if it is possible to guarantee that, even with arbitrarily small changes to its parameter, its value won't change dramatically. Any function that is discontinuous is referred to as such.

A function is referred to as continuous if it is constant for all values of x inside its domain. The ability to simulate and evaluate physical occurrences and mathematical relationships involving smoothly varying numbers makes continuous functions crucial in many branches of mathematics and science.

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Answer:

y = 17

Step-by-step explanation:

the initial value of the function is obtained when x = 0

• note that [tex]a^{0}[/tex] = 1

then

y = 17[tex](1.24)^{x}[/tex] ← substitute x = 0

y = 17[tex](1.24)^{0}[/tex] = 17 × 1 = 17

initial value of the function is y = 17

a) The value of a from the equation is a = 7.9

b) The cost of each pair of shorts is given by y = $ 11.50

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.25 ( a + 1.3 ) = 20.7

Divide by 2.25 on both sides , we get

a + 1.3 = 9.2

Subtracting 1.3 on both sides , we get

a = 7.9

b)

The cost of each pair of shorts be y

The cost of shirt be x = $ 10

The number of outfits = 3

The total cost of outfits = $ 64.50

So , the equation will be

3 ( x + y ) = 64.50

On simplifying the equation , we get

3 ( 10 + y ) = 64.50

Divide by 3 on both sides , we get

10 + y = 21.50

Subtracting 10 on both sides , we get

y = $ 11.50

Hence , the cost of each shorts is $ 11.50

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The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Centimeters and feet are the units that are used for measuring the length of the any given parameter.

Conversion of the unit centimeter into feet is written as :

Value of  one centimeter =  0.0328084 feet.

To convert the given value 147 centimeters substitute in the given relation we have,

⇒ ( 147 × 1 ) centimeters = ( 147 ×  0.0328084 ) feet

⇒ 147 centimeters = ( 4.822835 ) feet

⇒  147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )

Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to  ( 4.8228 ) feet ( Round upto four decimals ) .

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The quadratic equation y = 6x²+ 19x -20 has the same standard form as Ax+By +C = 0.

what is quadratic equation ?

A quadratic polynomial in an independent condition is represented by the expression x ax²+bx+c=0. a 0. Since this equation is of second order, the Fundamental Theory of Algebra requires that it has at best one solution. There can be both simple and complex solutions.

A quadratic equation is just that—quadratic. This indicates that which has at least yet another word that has to be squared. One of the often cited solutions for differential calculus is "ax² + bx + c = 0." where X is an undefined parameter and a, b, and c are mathematical coefficients or constants.

y=(6x-5)(x+4)

y = 6x² - 5x + 24x - 20

y = 6x² + 19x -20

The quadratic equation y = 6x² + 19x -20 has the same standard form as Ax+By +C = 0.

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Answer:

400 m

Step-by-step explanation:

According to Pythagorean theorem, c^2 = a^2 + b^2

c^2 = 600^2 + 800^2 = 360000 + 640000 = 1000000

c = √1000000 = 1000 mm

(600 + 800) - 1000 = 1400 - 1000 = 400

A ceramic paperweight is shaped like a square pyramid. the height of the paperweight is 1 inch.

What is Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.

To find the height of the paperweight, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.

In this case, the height of the paperweight, which is the unknown side, forms a right triangle with one of the slant heights and half the length of the square base, as shown in the diagram below:

     /\  

    /   \

   /      \

  /         \

 /_ _ _ _\

     4 in

To apply the Pythagorean Theorem, we can write:

height² + (1/2 * 4 in)² = 3 in²

Simplifying, we get:

height² + 8 in² = 9 in²

Subtracting 8 in² from both sides, we get:

height² = 1 in²

Taking the square root of both sides, we get:

height = 1 in

Therefore, the height of the paperweight is 1 inch.

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Conditional probability can be calculated by using Bayes' theorem, P(A|B) = P(B|A) × P(A) / P(B)

To find the conditional probability, we need to know the probability of two events: the probability of the event we're interested in, and the probability of the condition. Then, we can use Bayes' theorem to calculate the conditional probability.

Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of B given A, multiplied by the probability of A, divided by the probability of B:

P(A|B) = P(B|A) × P(A) / P(B)

The steps to find the conditional probability:

1) Identify the events A and B.

2) Determine the probabilities of A and B.

3) Determine the conditional probability P(B|A)

4) Substitute the values into Bayes' theorem to find P(A|B)

5) Interpret the result.

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The factor tree shows how 78 can be factored into its prime factors.

78 = [tex]2 \times 3 \times 13.[/tex]

The first step in creating a factor tree for the number 78 is to identify two factors of 78 that sum up to 78. One such pair of factors is 6 and 13. After we reach prime numbers, we can carry on breaking down each component.

Prime factorization is the process of converting a composite number into the product of its prime factors. A prime factor is a prime number that divides the original integer by itself with no remainder.

The prime factorization of the number 78 is

78 = 6 x 13

78 = 2 x 3 x 13.

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Answer:

I would believe inside of a race track is smaller than the outside. They are staggered so the runners all run the same distance.

Step-by-step explanation:

Answer:

[tex]5+11\sqrt{3}[/tex]

---------------

Perimeter is the sum of side lengths:

Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

The equivalent expression is 0.7 - 1.8h.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2.1 + (-3.7h) + 1.9h - 1.4

Combine the like terms.

2.1 - 1.4 - 3.7h + 1.9h

0.7 - 1.8h

Thus,

0.7 - 1.8h is the equivalent expression.

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Based on the conversion factor, 35km is equivalent to approximately 21.75 miles.

Kilometers and miles are units of distance measurement used in different parts of the world. While kilometers are the standard unit of distance in most countries, miles are widely used in the United States, the United Kingdom, and a few other countries.

A kilometer is approximately 0.621371 miles, which means that 1 mile is roughly 1.609344 kilometers.

To convert 35km to miles, we need to use this conversion factor. We can start by setting up a proportion:

35 km = x miles

1 km = 0.621371 miles

Multiplying both sides by the conversion factor, we get:

35 km x 0.621371 miles/1 km = x miles

Simplifying this expression, we get:

21.748485 miles = x miles

In conclusion, measurements are essential in our daily lives, and knowing how to convert one measurement to another can be beneficial. In this article, we explored what 35km in miles means and how we can convert kilometers to miles. Remember that 1km is approximately 0.621371 miles, and we can use this conversion factor to convert any distance measurement from kilometers to miles or vice versa.

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