radical form of a^2/5
help please

The total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a. is $100248.50.

It should be noted that simple interest is calculated as:

Interest = Principal × Rate × Time / 100

Interest = 60500 × 7.3 × 9 / 100

Interest = $39748.50

It should be noted that the amount will be the addition of the principal and the interest. This will. be:

= Principal + Interest

= $60500 + $39748.50

= $100248.50

The amount is $100248.50.

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The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:37.5

Step-by-step explanation:

The work a crew will pave in an hour will be 8/5 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,

1 / 8 hours ⇒ 1 / 5 miles

1 hour ⇒ 8 x (1 / 5 ) miles

1 hour ⇒ 8 / 5 miles

Therefore, the work a crew will pave in an hour will be 8/5 miles.

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Answer:

y = a ( x − h ) 2 + k

Step-by-step explanation:

https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713

Answer:

The amount of markup is 88 dollars.

Step-by-step explanation:

Given that the whole sale price of bicycle is: $400

\(P = \$400\)

Mark up is the profit that the seller of the product makes after selling the product more in price more than its cost or buying price.

Given that mark up percentage is 22%

It can be written mathematically as:

\(Mark\ up = 22\%\ of\ Price\\Mark\ up = 0.22 * P\\Mark\ up = 0.22 * 400\\= \$88\)

Hence,

The amount of markup is 88 dollars.

Answer:

x = 15.42

Step-by-step explanation:

cos 63° = 7/x

0.4540 x = 7

x = 15.42

Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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Answer: 60

Step-by-step explanation:

Formula to find sample size :\(n=(\dfrac{z^c\times\sigma}{E})^2\), where \(z^c\) = critical z value , E -= Margin of error, \(\sigma\) = population standard deviation.

Given: E= 2.3

Critical z-value for 99% confidence level = 2.576

\(\sigma=6.9\)

Then, required sample size :

\(n=(\dfrac{6.9\times2.576}{2.3})^2=(7.728)^2\\\\=59.72\approx60\)

Hence, the required sample size = 60

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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Answer:

yea we all love you $^)

some will deny it but don't believe that. lolll

Answer:

Figure J does not show y as a function of x ⇒ D

Step-by-step explanation:

y is a function of x if and only if every x has only one value of y

Let us check each given figure if it shows a function or not

#Figure F

∵ Every value of x has an arrow is pointed to one value of y

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure G

∵ The ordered pairs have different values of x-coordinates

∴ Every x-coordinate has only one value of y-coordinate

∴ The figure shows y as a function of x

#Figure H

∵ Every x in the table appears once

∴ Every x has only one value of y

∴ The figure shows y as a function of x

#Figure J

∵ The ordered pairs were drawn in the figure are (-3, -2), (-3, -3), (-2, 0),

  (-2, -1), (-1, 1), (-1, 2), (0, 3), (0, 4)

∵ x = -3 has two values of y, y = -2 and -3

∵ x = -2 has two values of y, y = 0 and -1

∵ x = -1 has two values of y, y = 1 and 2

∵ x = 0 has two values of y, y = 3 and 4

∴ Every x-coordinate has more than one value of y-coordinate

∴ Figure J does not show y as a function of x

Answer:

y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.

The value of base angle θ (in degree) of the trapezium ABCD which has the greatest perimeter, is 60°

Given, AD = 2I

From ΔABD,

cos∅=\(\frac{AB}{AD}\)

⇒ AB = AD cos∅

⇒ AB = 2I cos∅

and x = ABcos∅ = 2I \(cos^{2}\)∅

Now perimeter,

P = 2I+ 2I - 2x + 2AB

P = 4I - 4I \(cos^{2}\)∅ + 4Icos∅

P = 4I (1 - cos²∅ +  cos∅)

Differentiating with respect to ∅, we get

dP/d∅= 4I(2 cos∅ sin∅ - sin∅)

For max/min,

dP/d∅ = O

2 cos∅ sin∅ - sin∅ = 0

⇒ cos∅ = \(\frac{1}{2}\)  (∅ \(\neq\) 0)

            = 60°

\(d^{2}\)P/d∅ = 4i(2 cos2∅ - cos∅)

\(d^{2}\)P/d∅ < 0  

∅ = 60°

Therefore, Perimeter is maximum when ∅ = 60°

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

35000

Step-by-step explanation:

35,007 to the nearest hundred would be 35000 because 7 is between both 0 hundred (000) and 1 hundred (100). However, because 7 is only 7 away from 000 and 93 away from 100, 000 is the nearest hundred.

Hope this helps :)

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

-9 and 7

Step-by-step explanation:

Hello,

Either x+1 is positive and then |x+1|=x+1 and the equation becomes x+1-3=5

<=> x=5-1+3=7

Or x+1 is negative and then |x+1|=-x-1 and the equation becomes -x-1-3=5

<=>x=-1-3-5=-9

Thanks

Answer:

40

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

2x+2x or 3x+1x

Step-by-step explanation:

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Using proportions, Blake's total gross pay for the week is of $1,625.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures, deriving from proportional relationships.

One example of application of proportions is for percentage problems, as the decimal equivalent of the percentage can be multiplied by the total amount to find the equivalent amount, as is the case in this problem.

From the problem, the commissions are given according to the sales as follows, from the table given in the problem:

Blake sold $32,500, which is amount greater than $25,000, hence his gross pay is the commission given as follows:

0.05 x 32,500 = $1,625.

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Answer:

18 in

Step-by-step explanation:

Because thats what it says

the answer is 28

hope this helps :)