What is the first step when multiplying mixed numbers.

Answer:

You do this by finding the area by each rectangle then the area of the quarter of the circle? (dont know what to call it) Then add it and round to the nearest tenth

Step-by-step explanation:

Answer:

36 pi m^2

Step-by-step explanation:

The diameter of a circle is 12

The radius is 1/2 of the diameter, d/2 = 12/2 = 6

The area of a circle is given by

A = pi r^2

A = pi (6)^2

A = 36 pi m^2

Answer:

0.563>0.536

Step-by-step explanation:

Its greater

The numeric values of the piecewise function are given as follows:

a) f(4) = -5.

b) f(-5) = -26.

c) f(2) = -7.

d) f(-2) = -11.

e) f(0) = -9.

f) f(-10) = -51.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

A piecewise function is a function that has different definitions based on the input of the function.

The definitions for the function in this problem are given as follows:

Considering the first definition, the numeric values are given as follows:

For the second definition, the numeric values are given as follows:

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Answer:

lower bound: 147.5g

upper bound: 152.5g

The best estimate of the remaining life of Lourdes Corporation's bonds is 14.82 years.

Lourdes Corporation would have to set a coupon rate of 10.07% to issue new bonds at par.

To find the remaining life of the bond, we need to use the formula:

Remaining Life = (ln(Par Value/Market Price)) / (2 * ln(1 + Coupon Rate/2))

Substituting the given values, we get:

Remaining Life = (ln(1000/1327.36)) / (2 * ln(1 + 0.13/2)) = 14.82 years

B. To find the required coupon rate for new bonds, we can use the formula:

Coupon Rate = (ln(Par Value/Call Price) + Yield Rate) / (2 * ln(1 + Call Price/Market Price))

Substituting the given values, we get:

Yield Rate = 0.13 (given)

Coupon Rate = (ln(1000/1075) + 0.13) / (2 * ln(1 + 1075/1327.36)) = 0.1007 or 10.07%.

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\(\implies {\blue {\boxed {\boxed {\purple {\sf {Numerator\:=\:25 }}}}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {Denominator \:=\:56}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \: \frac{ - 3}{7} + \frac{7}{8} \)

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 7 and 8 is 56.

Now,

➺\( \: \frac{ - 3 \times 8}{7 \times 8} + \frac{7 \times 7}{8 \times 7} \)

➺\( \: \frac{ - 24}{56} + \frac{49}{56} \)

Now that the denominators are equal, we can add them.

➺\( \: \frac{ - 24 + 49}{56} \)

➺\( \: \frac{ 25}{56} \)

Therefore, the numerator is \(\boxed{ 25 }\) and the denominator is \(\boxed{ 56 }\).

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}\)

Answer:

Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2

Solution of \(22x + 11 = 4x - 7\) => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

\(14 + 3n = 8n - 3(n-3)\)

Applying Distributive property

\(14 + 3n = 8n - 3n+9\\14+3n = 5n+9\)

Subtraction property of equality (Subtracting 14 from both sides)

\(14+3n-14 = 5n+9-14\\3n = 5n-5\)

Subtraction property of equality (Subtracting 5n from both sides)

\(3n-5n = 5n-5-5n\\-2n = -5\)

Division property of equality (Dividing both sides by -2)

\(\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}\)

Second Equation:

\(22x + 11 = 4x - 7\)

Subtraction property of equality (Subtracting 11 from both sides)

\(22x + 11-11 = 4x - 7-11\\22x = 4x-18\)

Subtraction property of equality (Subtracting 4x from both sides)

\(22x-4x = 4x-18-4x\\18x = -18\)

Division property of equality (Dividing both sides by 18)

\(\frac{18x}{18} = \frac{-18}{18}\\x = -1\)

Hence

Solution of \(14 + 3n = 8n - 3(n-3)\) => x = 5/2

Solution of \(22x + 11 = 4x - 7\) => x=-1

Answer:

The pants cost $15 and the jacket costs $60

Step-by-step explanation:

Based on the information given, the computation shows that the distance between them is 2.47 miles.

Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.

The other has bearing 59°13'. This will be:

= 59° + (13/60) = 59° + 0.22 = 59.22°.

The difference of the angles will be:

= 59.22° - 41.75°

= 17.47°

Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:

c² = a² + b² - 2ab cos 17.47°

c² = 20² + 20² - (2 × 20 × 20 × 0.19)

c² = 6.07459

c = 2.47

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The average speed is 54 miles per hour.

What is average ?

In plain English, an average is one number chosen to represent a list of numbers. It is often calculated by dividing the total number of numbers in the list by the number of numbers in the list. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set.

The formula for distance is

Distance = Rate × Time

Total distance = 50 × 3 + 60 × 2 = 270

Total time = 3 + 2 = 5

Using the formula:

\(Speed = \frac{Distance}{Time}\)

       = 270 / 5

       = 54

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Answer:

true im not sure tho but trust me

Step-by-step explanation:

The second term of the progression will be 22

Given the following parameters

ai+1= 3ai+1

a0=2

If i = 0

\(a_{i+1}= 3a_i}+1 \\a_{0+1}=3a_{0}+1}\\a_1=3(2)+ 1\\a_1 = 7\)

Similarly to get the second term a2, when i = 1

\(a_{i+1}= 3a_i}+1 \\a_{1+1}=3a_{1}+1}\\a_2=3(7)+ 1\\a_2 = 22\)

Hence the second term of the progression will be 22

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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we obtain the integral ∫[0,√(8)] ∫[0,√(x)] (√(64x^2 + 1))/8 dx dy,

To find the area of the region cut from the plane 4x + y + 8z = 2 by the cylinder whose walls are x = y^2 and x = 8 - y^2, we need to first find the intersection of the plane and the cylinder.

We can solve for y in terms of x from the equations x = y^2 and x = 8 - y^2 to get y = ±√(x) and then substitute this into the equation for the plane to get 4x ± √(x) + 8z = 2. Solving for z in terms of x and y, we get z = (1/8)(1 - 4x ± √(x)).

To find the area of the surface, we need to integrate the magnitude of the cross product of the partial derivatives of z with respect to x and y over the region of intersection.

That is, we need to evaluate the integral ∫∫(√(1 + (∂z/∂x)^2 + (∂z/∂y)^2)) dA over the region, where dA is the area element. Since the region is symmetric about the xz-plane, we can integrate over the part where y is non-negative and then double the result.

Using the equation for z, we can calculate the partial derivatives ∂z/∂x and ∂z/∂y, and then substitute these into the integrand. After some algebraic manipulation and simplification,

we obtain the integral ∫[0,√(8)] ∫[0,√(x)] (√(64x^2 + 1))/8 dx dy, which can be evaluated numerically using standard integration techniques to get the area of the surface.

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Answer:

x=6.5

Hope my answer is helpful to you

Answer:

its clearly 74

Step-by-step explanation:

are you gay or sum

Answer: g 26

Step-by-step explanation: 100-48= 52

52/2=26

The correct answers are: A ray is part of a line segment and an angle is two rays. The measure of an angle is not related to the length of its sides. So, the measure of an angle remains the same at all distances from its vertex.

In conclusion, a ray is a part of a line, while an angle is formed by two rays sharing a common endpoint. The measure of an angle is independent of the length of its sides and remains the same regardless of the distances from its vertex. This knowledge is essential in solving geometric problems, classifying shapes, and analyzing angles within various mathematical contexts.

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Based on the given information, the installation of solar panels on Julian's house appears to be financially viable, considering a discount rate of 3%. Yvonne's proposal to redevelop her property into a 4-storey hotel seems financially feasible, and Kelvin's decision to extend the repayment period of his loan will result in higher monthly payments and increased total interest paid.

For Julian's solar panel installation, the financial viability can be assessed by comparing the present value of cash inflows (savings on electricity fee) with the present value of cash outflows (initial cost, maintenance cost, replacement cost, dismantling cost, and salvage value). By discounting future cash flows at a rate of 3%, the net present value (NPV) can be calculated. If the NPV is positive, it indicates that the project is financially viable.

Yvonne's proposal for property redevelopment involves considering the costs of demolishing the existing building, constructing the hotel, design fees, land premiums, finance charges, and loss of income during redevelopment. The rental income from the hotel, considering the expected occupancy rate and market yield, needs to be compared with the costs to determine the financial feasibility. Calculating the net present value (NPV) of the project by discounting future cash flows can provide insights into its feasibility.

Possible catalysts for Yvonne to consider the change of land use could include market demand for hotels in the area, changes in tourism trends, or the potential for higher rental income from operating a hotel compared to a staycation business.

If Kelvin chooses to extend the repayment period of his loan from 15 years to 20 years, the monthly payments will be higher due to the longer repayment period. The total interest paid will also increase because the loan is extended over a longer duration, resulting in more interest accrual over time. The specific calculations can be performed using the loan amount, interest rate, and respective repayment periods.

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Answer:

See Explanation

Step-by-step explanation:

Given

\(0 \le a \le 1\)

\(8*a =b\)

Required

Determine the true statement about b

The question is incomplete as options are not given. However, a general explanation is as follows:

Rewrite \(8*a =b\)

\(b = 8 * a\)

When a = 0

\(b = 8 * 0 = 0\)

When a = 1

\(b = 8 * 1 = 8\)

This means that:

For \(0 \le a \le 1\)

Then \(0 \le b \le 8\)

This means that: b is a number between 0 and 8

EXPLANATION

Dividing the numerator and denominator by the highest denominator power (x^2):

Applying the following property:

Now, we need to apply the same steps to x-> ∞

Simplifying:

In conclusion, the appropiate end behavior is as follows:

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Answer: good luck

Step-by-step explanation:

;)

Answer: x = 5

Step-by-step explanation:

Vertical angles are congruent. Hence, 30 = 6x. Diving both sides by 6 gives x=5

There are 308 ways to order at most one appetizer, at most one main course, and at most one dessert for lunch

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

7 different appetizers, 11 different main courses, and 4 different desserts.

The number of ways to order is the product of the dishes

So, we have the following representation

Ways = 7* 11 * 4

Evaluate

Ways = 308

Hence, the nmber of ways is 308

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In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

Answer:

Length: 12.39313902 cm

Width: 10.89313102 cm

Step-by-step explanation:

Check the attachment.

The closest answer is 9% interest rate and 25 years term of the loan.

Assuming the $70,000 mortgage is a fixed-rate mortgage, we can use the formula for the monthly payment of a mortgage to solve for the interest rate and the term of the loan.

The formula is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

where:

M = monthly payment

P = principal (amount borrowed)

i = interest rate (per month)

n = number of months

Substituting the given values, we get:

$629.81 = $70,000 [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]

Using a mortgage calculator or by trial and error, we can find that the closest answer is 9% interest rate and 25 years term of the loan.

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