how do I solve for -2x + 14x + 3 = 8x + 27

Answer:

$25.60

Step-by-step explanation:

To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.

16/0.25=64

64*0.4=25.6

$25.60

Answer:

thanks

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

eliana is coolll

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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Answer:

5.9466578e+21

\(Well,\;I\;Dont\;See\;Why\;Your\;Teacher\;Gave\;You\;This...\;\;But,\;Here\;You\;Go.\)

\(8888888888888 * 668999000\;\;Equals\;The\;Following..\)

\(5.94665778*10^2^1\)

The quotient of the given expression is 2x

Given the ratio of the expressions as shown below;

f(x) = 14x^2/ 7x​

Simplify both numerator and denominator

14x^2 = 7 * 2 * x * x

7x = 7 * x

From the given factors;

14x^2/ 7x​ = (7*2*x*x)/7*x

14x^2/ 7x​ = 2x

Hence the quotient of the given expression is 2x

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Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

The radian solutions of the equation are θ = 2.71 and θ = 0.43 radians

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

-sin² (θ) - 2sin (θ) + 1 = 0

Divide through by -1

So, we have

sin² (θ) + 2sin(θ) - 1 = 0

Let y = sin(θ)

So, we have

y² + 2y - 1 = 0

When solved graphically, we have

y = 0.414 and -2.414

This means that

sin(θ) = 0.414 and sin(θ) = -2.414

Take the arcsin of both sides

θ = 2.71 and θ = 0.43

Hence, the angles are θ = 2.71 and θ = 0.43

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Answer:

$6 dollars i guess

Step-by-step explanation:

Answer:

\(c=\frac{2\sqrt{3}}{3}\)

h=\(3\sqrt{2}\)

Step-by-step explanation:

Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.

c=\(\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}\)

h=\(3\sqrt{2}\)

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathsf{8,903 = e^{5x}}}\)

\(\huge\textbf{Simplify:}\)

\(\mathsf{8,903 = e^{5x}}}\)

\(\mathsf{e^{5x} = 8,903}}\)

\(\huge\textbf{Solve for the exponent:}\)

\(\large\textsf{We get: }\downarrow\\\\\mathsf{2.718282^{5x}=8903}\)

\(\huge\textbf{Take the logarithm from both sides:}\)

\(\mathsf{log(2.718282^{5x}) = log(8,903x)}\)

\(\large\textsf{We get:}\\\\\mathsf{5x \times log(2.718282)=log(8903)}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{5x = \dfrac{log(8903)}{log(2.718282)}}\)

\(\large\textsf{We get: }\\\\\mathsf{5x = 9.094143}\)

\(\huge\textbf{Divide 5 to both sides:}\)

\(\mathsf{\dfrac{5x}{5} = \dfrac{9.094143}{5}}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{x= \dfrac{9.094143}{5}}\)

\(\mathsf{x = 1.818829}\)

\(\mathsf{x \approx 2}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{x =}\frak{\ 1.818829}}\huge\checkmark\)

\(\large\textbf{Or if you're estimating your answer}\downarrow\)

\(\huge\boxed{\mathsf{x \approx }\frak{\ 2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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The value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

Mean value theorem is the theorem which is used to find the behavior of a function.

The function given as,

\(f(x) = 6x^2 - 4x + 2\)

The value of function at 0,

\(f(0) = 6(0)^2 - 4(0) + 2\\f(0)=2\)

Differentiate the given equation,

\(f(x)' = 6\times2x - 4\times1 + 0\\f(x)' = 12x - 4\\f(x)' = 12x -4\)

If the constant c between 1 and 9 such that the average value of the function f(x) on the interval (1,9], then,

\(f(c)'=12c-4\)

Using Lagrange's mean value theorem,

\(f(c)'=\dfrac{f(9)-f(1)}{9-1}\\12c-4=\dfrac{452-4}{9-1}\\12c=54+4\\c=\dfrac{60}{12}\\c=5\)

Thus, the value of constant c between 1 and 9 such that the average value of the function f(x) on the interval [1,9] is equal to is 5.

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Answer:

5.5402

Step-by-step explanation:

First you need to find the average value of the function, you can use a calculator to do that, which you will find is 164.

The questions asks you to find a number between 1 and 9 so that f(c) (which is just f(x)) equals the average value of the function.

Since you already know the average value (164), you can set the equation equal to 164 and solve for x, which should give you 5.5402.

If you want more information: the function equals the average value, which is 164=6x^2-4x+2, is the equation you want to set up and solve for x.

You may get two answers and I can't explain why because I don't understand it that well, just use the one that is in the 1 to 9 range.

The second answer should be negative which is out of the 1 to 9 range, which leaves you with the other number that rounds up to 5.5402

I hope this helps any other struggling students

Answer: There is no solution.

Answer:

There is no solution

Step-by-step explanation:

The answer to your question is in the image above.

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

148

Step-by-step explanation:

A and B are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

A = B

6x-2 = 4x+48

Subtract 4x from each side

6x-4x-2 = 4x+48-4x

2x-2 = 48

Add 2 to each side

2x-2 +2 = 48+2

2x = 50

Divide by 2

2x/2 = 25

We want to find angle A

A = 6x-2

   = 6*25 -2

    150 -2

  = 148

Answer:

Solution given:

<A=<B{alternate exterior angle are equal}

6x-2=4x+48

6x-4x=48+2

2x=50

x=50/2

x=25

<A=6×25-2=148°

Answer:

1,187.5

Step-by-step explanation:

Convert inch to feet or convert feet to inch. Convert inch to feet by:

Calculate the inch by subtracting it from the same amount of length(12) and multiplying it by 100

Answer:

y=(1/2)x+4

(0,4) and (10,9) both satisfy this equation.

Hope it helps:-)

The solution is, the following expressions are equivalent to 4⁻³ / 4⁻⁸

A.  4^8/4^3

D. 4⁵

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

We have to calculate to find the result -

The expression is = 4^(-3)/4^(-8)

According to the indices rule, the power will be deducted if it is a division.

Therefore, a^m/a^n = a^(m-n)

Using that formula,

4⁻³ / 4⁻⁸

= 4⁸ / 4³

= 4⁽⁸⁻³⁾

=4⁵

Therefore, the answer choice D is the option, and the answer is 4^5.

Option A is also correct.

Because we can find 4^5 with the help of that option.

Alternative way,

4^(-3)/4^(-8)

= 4^(-3+8)

= 4^(8-3)

= 4^8/4^3

In the is way, we can also find option A is correct.

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complete question:

Which of the following expressions are equivalent to 4^-3/4^-8?

Answer:

It would take jack 5 days

Step-by-step explanation:

It would take 5 days because it takes 1 day to make 6 pairs of glasses which you can find out by dividing 12 pairs by 2 days and you take the amount of 30 pairs and divide it by 6 pairs to get 5 days

l am not sure but I think it's Y

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

64 ways

Step-by-step explanation:

Let n = 8

The number of ways a person can take one stair = n^P1 = 8^P1

The number of ways a person can take two stairs = n^P2 = 8^P2

∴ The number of ways the person who can take one stair or two stairs at a time = 8^P1 + 8^P2 = 8 + 56 = 64 ways

Anwser:

I think it is 82 because it goes down 2 than sunday it goes up 2 to put it back at 82.

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) \(f(x) =-2\cdot x ^{2}-6\) Dado

2) \(g(x) = x+4\) Dado

3) \((f-g)(x) = (-2\cdot x^{2}-6)-(x+4)\) Definición de resta de funciones.

4) \((f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)\)        \((-1)\cdot a = -a\)

5) \((f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)\) Propiedad distributiva/\((-1)\cdot a = -a\)

6) \((f-g)(x) = -2\cdot x^{2}-x+(-6-4)\) Propiedad conmutativa

7) \((f-g) (x) = -2\cdot x^{2}-x-10\) Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en \(x = -5\):

\((f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10\)

\((f-g)(-5) =-55\)

Por ende, la respuesta correcta es B.