what is 4 7/9 as improper fraction

Answer:

360

Step-by-step explanation:

add 12 with 16 by 20 it gives you 48 cubic inches

12 +16+20=48 cubic inches

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

To answer this question we will use the following formula for the circumference of a circle:

Therefore:

Simplifying the above result we get:

Now, notice that:

Answer: Option A.

The difference of the polynomials 4a^3+6a^2-11a-3 and 2a^3-4a^2-6a+1 is given as follows:

2a³ + 10a² + 5a - 4.

The difference of polynomials in this problem is defined as follows:

4a^3+6a^2-11a-3 - (2a^3-4a^2-6a+1)

To subtracted the polynomials, we combine the like terms, hence:

Hence the difference of the polynomials is given as follows:

2a³ + 10a² + 5a - 4.

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Answer:

the semiannual interest payment is $153.77 and the total interest earned over the life of the bond is $9,226.20.

Step-by-step explanation:

To find the semiannual simple interest payment, we need to divide the annual interest rate by 2, since there are 2 semiannual periods in a year:

Semiannual interest rate = Annual interest rate / 2

= 6.268% / 2

= 3.134%

To find the semiannual interest payment, we multiply the face value of the bond by the semiannual interest rate:

Semiannual interest payment = Face value x Semiannual interest rate

= $4900 x 3.134%

= $153.77 (rounded to two decimal places)

To find the total interest earned over the life of the bond, we need to multiply the semiannual interest payment by the number of semiannual periods in the bond's life. Since the bond has a 30-year term and 2 semiannual periods in a year, the bond has a total of 60 semiannual periods:

Total interest earned = Semiannual interest payment x Number of semiannual periods

= $153.77 x 60

= $9,226.20 (rounded to two decimal places)

Therefore, the semiannual interest payment is $153.77 and the total interest earned over the life of the bond is $9,226.20.

A fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

Two or more expressions with an Equal sign is called as Equation.

The given linear equation represents a relationship between the square footage (x) and the price (y) of houses in the neighborhood.

We can use this equation to estimate the fair price for the seller's house by plugging in the square footage (x) of the house and solving for y:

y = 0.074x + 50

y = 0.074(1800) + 50

y = 133.2 + 50

y = 183.68

Hence, a fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

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Answer:

7 minutes

Step-by-step explanation:

It is 7 minutes because the bank it the top straight line and it elapses for 7 minutes

Answer:

0.075

Step-by-step explanation:

The answer is 7081/1000

Step-by-step explanation:

7 = 7×1 = 7×1000/1000 = 7000/1000

7000/1000 + 81/1000 = 7081/1000

this can't be further simplified, as the only factors of 1000 are

2 and 5 and then multiples of them.

neither of them can be a factor of 7081 (which is clearly neither an even number nor a multiple of 5).

Answer:

-x^2(x + 5)(x - 5)

Step-by-step explanation:

x^2 is common to both terms of -x^4+25x^2:

x^2(-x^2 + 25)

and the binomial factor can be factored further:

x^2(x + 5)(-x + 5) or

-x^2(x + 5)(x - 5)

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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The total risk of an investment is measured by the variance or, more commonly, the standard deviation of its return. Therefore, the correct answer option is: A. total risk.

In Economics, risk management can be defined as a strategic process which involves the identification, evaluation, analysis and control of potential threats (risks) that are present in a business, project, or system, as an obstacle to its capital, revenues, success, and profits.

In Business management, rate of return can be defined as a net gain (profit) or loss that is associated with an investment over a specified period of time, and it is usually expressed as a percentage of the initial cost of an investment.

In conclusion, the standard deviation or variance of its return is typically used for measuring the total risk of an investment.

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Answer:

D:29

Step-by-step explanation:

4(3) ^2 - 7 =

6^2 -7 =

36 - 7 = 29

hope this helped!

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Answer:

3/5x - 3/7

Do let me know if you need any clarification :)

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

12 cm

Step-by-step explanation:

12+26/2 ×x =228

19x =228

X=12cm

Answer:

8+h3-4

Step-by-step explanation:

10(h+2)−2h when h = 9.

The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expressions are,

⇒ 7 + h² - 5

⇒ 10 (h + 2) - 2h

Now,

Solve the expression for h = 9 and find the relation between them as;

Since, The expressions are,

⇒ 7 + h² - 5    ...(i)

⇒ 10 (h + 2) - 2h       ...(ii)

Substitute h = 9 in (i), we get;

⇒ 7 + h² - 5 = 7 + 9² - 5

                  = 7 + 81 - 5

                  = 83

And, Substitute h = 9 in (ii), we get;

⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9

                         = 10 x 11 - 18

                         = 110 - 18

                         = 92

Thus, We get;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

Therefore, The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

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The exponential function graphed in this problem is defined as follows:

y = 125(5)^x + 3.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The exponential function in this problem is a translation of 5^x up 3 units due to the horizontal asymptote at y = 3, hence is given as follows:

y = a(5)^x + 3.

When x = -1, y = 28, hence the parameter a is given as follows:

28 = a(5)^(-1) + 3

a/5 = 25

a = 125.

Hence the function is:

y = 125(5)^x + 3.

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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ANSWER:

STEP-BY-STEP EXPLANATION:

The first thing we must do is calculate the vertex of f (x)

1.

the vertex of an open top-down parabola of the form y = a * (x-m) * (x-n) is the average of its zeros, just like that:

Now the vertex of g (x) would then be to apply the translation of (-3, 7) to the vertex of f (x)

Then for the intercepts with x we must first calculate the intercepts in f (x)

In the case of the x intercept in g (x), the signs of f (x) are exchanged, like this: