Find the slope of the line for the points (-7,-5) and (-6,-10)

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

The type of triangle shown in the image is the Obtuse triangle because one angle measures more than 90 degrees.

A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.

In the given diagram, one of the angles measures more than 90 degrees.

So, the given triangle is an obtuse triangle.

Hence, the type of triangle shown in the image is the Obtuse triangle.

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The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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Answer:

80\(\leq\)20x+0.1(100)

Step-by-step explanation:

x for the number of days you are trying to find.

$20 to rent the car per day.

$0.1 for every mile driven and she wants to drive 100 miles so $0.1(100).

she cannot spend over 80 so the sign should be equal to $80 or less than.

a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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Answer:

Step-by-step explanation:

y=x^2+ax+3

y=(4)^2+a(4)+3

y=16+4a+3

y=19+4a

y-19=4a

y-19/4=a

a=y-4.75

Answer:

6 units

Step-by-step explanation:

Given: Triangle L N P has centroid S.

\(NS=7x-3, SR=5x-3\)

To find: NS

Solution:

Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio \(2:1\)

So,

\(NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\\)

Put \(NS=7x-3, SR=5x-3\)

\(\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1\)

Therefore,

\(NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units\)

So,

\(NS=NS+SR=4+2=6\,\,units\)

Answer:

The answer is 4

Step-by-step explanation:

It asks for the length of NS not the length of NR

Answer:

$32,000(.93^12) = $13,395.07

Using an exponential function, the value of the car in 2012, after 4 years of continuous depreciation at a rate of 7% per year, would be approximately $24,131.20.

To model the depreciation of the car's value over time, we can use the formula for exponential decay:

V = V₀ * e^(rt)

Where:

V = Current value

V₀ = Initial value ($32,000 in this case)

r = Annual depreciation rate (-7% or -0.07)

t = Number of years (4 years from 2008 to 2012)

Plugging in the values into the formula, we get:

V = 32,000 * e^(-0.07 * 4)

Calculating the exponent first:

V = 32,000 * e^(-0.28)

Using a calculator or a mathematical software, we find that e^(-0.28) is approximately 0.7541.

V ≈ 32,000 * 0.7541

V ≈ $24,131.20

Therefore, the value of the car in 2012, after 4 years of continuous depreciation at a rate of 7% per year, would be approximately $24,131.20.

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Answer:x=26/5

Step-by-step explanation:

Given: 5x-7=19

Add 7 to both sides to get the variable on one side.

This gives, 5x=19+7, or 5x=26

Then divide both sides by 5 to get, x=26/5.

Since it is an improper fraction, we keep it this way.

ANSWER is x=26/5

Answer:

She will need to fill her spoon twice, once adding in the full amount, and the second adding half the amount.

3/4  ÷ 4/8

=3/4 * 2/1

=6/4

=1.5

So, that much amount would be needed o be added to the recipe during the two times

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answer:

\(x^{2} + x -3\)

Step-by-step explanation:

1. Write out the equation

\((x-2)+( x^{2} -1)\\\)

2. Add like-terms

\(x^{2} +x-3\)

Step-by-step explanation:

(X^2-1+x-2)

(X^2+x-2x-2)

X(x+1)-2(x+1)

(X-2)(x+1)

A square piece of cardboard with side length of 34 inches is needed to make the box.

Let the side of the square piece of cardboard be x inches.

After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.

The volume of the box can be expressed as:

V = (x-14\()^2\)\(\times\)7

We know that the box is to hold 2800 in3, so we can set up an equation:

(x-14\()^2\)\(\times\) 7 = 2800

Simplifying and solving for x, we get:

(x-14\()^2\) = 400

x-14 = ±20

x = 34 or x = 6

Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.

Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.

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The vectors u, v, and w are linearly independent if and only if k ≠ -8.

To understand why, let's consider the determinant of the matrix formed by these vectors:

| -4   -3    -4   |

| -3   -3    -11+k |

| 5    -11+k  7    |

If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:

(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]

= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)

= -4k^2 + 80k - 484

To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:

-4k^2 + 80k - 484 = 0

Simplifying further, we get:

k^2 - 20k + 121 = 0

Factoring this equation, we have:

(k - 11)^2 = 0

Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.

In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.

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It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

hehehejejeuueuuuuusuusuuuejjsjejejjejjjjdjdjjdjjdjjdkdkdidiieiei answer

Answer:

I thinks is

A is the best answer

Answer:

an hour and 40 minutes.

or 100 minutes

Step-by-step explanation:

Answer:

3 minutes  

lol

Answer:

Answer -$ 12.9

Step-by-step explanation:

Answer:

12.90

Step-by-step explanation:

Answer:

f(x) = 500+40m

Step-by-step explanation:

500 = initial

40m because she deposits 40 each month

Answer:

iii) R2

Step-by-step explanation:

Answer:

Area is 113.097

Step-by-step explanation:

Answer:

113.10 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius. The radius of the circle is 6 feet.

π(6)²

36π = 113.097336

The area of the circle is 113.10 ft² approximately.

Answer:

a=(z-2)/2

Step-by-step explanation:

You need to isolate your "a" variable so first you want to subtract 2 from both sides, leaving you with:

z-2=2a

then you want to divide by 2 on both sides to isolate your "a" variable which would leave you with

a=\(\frac{(z-2)}{2}\)

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

28

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

2[p - (4p + 11) + 1] = 2(p + 10)

Step 02:

solve the equation:

2[p - (4p + 11) + 1] = 2(p + 10)

2[p - 4p - 11 + 1] = 2p + 20

2[- 3p - 10] = 2p + 20

-6p - 20 = 2p + 20

-6p - 2p = 20 + 20

-8p = 40

p = 40 / (-8)

p = - 5

The answer is:

The solution set is {-5}

The expression 6x^(-3) + 3x represents a polynomial with two terms. Let's break it down to understand its degree.

In the first term, 6x^(-3), the variable x is raised to the power of -3.

When a variable is raised to a negative exponent, it indicates the reciprocal of that variable raised to the corresponding positive exponent. Therefore, 6x^(-3) can be rewritten as 6/x^3. This term has a degree of -3.

The second term, 3x, has a variable x raised to the power of 1, which is typically not written explicitly. So, it can be written simply as 3x^1. This term has a degree of 1.

To determine the overall degree of the polynomial, we consider the highest degree among its terms. In this case, the term with the highest degree is 6/x^3, which has a degree of -3.

Therefore, the degree of the given expression is -3.

It is important to note that the degree of a polynomial represents the highest exponent of the variable within the polynomial.

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Answer: 0.9 divided by 18 is 0.05.

Step-by-step explanation:

Answer:

Parallel: \(-\frac49\)

Perpendicular: \(\frac94\)

Step-by-step explanation:

Hello!

First let's find the slope of the line given. Convert it to Slope-Intercept Form.

Slope-Intercept Form: \(y = mx + b\)

Parallel Lines

Parallel lines have the same slope but a different y-intercept. Therefore, the slope of the parallel line is still \(-\frac49\).

Perpendicular Lines

Perpendicular lines have the opposite reciprocal slope, which means you have to flip the sign (+/-), and the numerator and denominator. The slope of the perpendicular line is \(\frac94\).