What are the solutions
of X²+25=0

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Let's solve for x.

5x−4y=−23−5x+9y

Step 1: Add 5x to both sides.

5x−4y+5x=−5x+9y−23+5x

10x−4y=9y−23

Step 2: Add 4y to both sides.

10x−4y+4y=9y−23+4y

10x=13y−23

Step 3: Divide both sides by 10.

10x

10

=

13y−23

10

x=

13

10

y+

−23

10

Answer:

x=

13

10

y+

−23

10

Step-by-step explanation:

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Circle: a cross-section that goes through the center of the sphere and creates a circular shape.

Point: a cross-section that goes through the center of the sphere and creates a single point.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

19720

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

5-3=2

the 5 bc he found it, the 3 bc he needs to give to his friend, so in total/in the end its $2

Hope this helps

Answer:

y = 32,000(1.08)^x

Step-by-step explanation:

The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.

In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)

If we plug these into the equation, we get the equation y = 32,000(1.08)^x

So, y = 32,000(1.08)^x is the correct answer.

Answer:

A

Step-by-step explanation:

on edge 2020

Answer:

$950

Step-by-step explanation:

Take the original amount and subtract the 5% from the total then you have your new total.

Answer:

c = 12.75n + 12

c = 15.75n

Step-by-step explanation:

Let

c = total​ cost of the ticket

n = number of people buying tickets

Buying tickets online

c = 12.75n + 12

Buying from the box office

c = 15.75n

This can be represented by the system of equation:

c = 12.75n + 12

c = 15.75n

The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope. The equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2) is given by option D: y = -2x.

To determine which equation represents a line perpendicular to y = -2x + 4 and passes through the point (4, 2), we need to consider the slope of the given line. The equation y = -2x + 4 is in slope-intercept form (y = mx + b), where the coefficient of x (-2 in this case) represents the slope of the line.

Since we are looking for a line that is perpendicular to this given line, we need to find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/2. Therefore, the slope of the perpendicular line is 1/2.

Now, we can use the point-slope form of a line to find the equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope.

Substituting the values (4, 2) for (x₁, y₁) and 1/2 for m, we get:

y - 2 = (1/2)(x - 4).

Simplifying this equation, we find:

y - 2 = (1/2)x - 2.

Rearranging the terms, we obtain:

y = (1/2)x.

Therefore, option D, y = -2x, represents the equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2).

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Answer:

1800 in^3

Step-by-step explanation:

The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

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Answer:

Rectangle but not a square

Step-by-step explanation:

Let's start by determining if it's a parallelogram.

The slope of side DE is undefined.

The slope of side EF is 0.

The slope of side FG is undefined.

The slope of side DG is 0.

Thia means we have 2 pairs of opposite parallel sides, meaning DEFG is a rhombus.

Now, let's determine if it's a rectangle. Since the slope of

side DE is undefined and the slope of side EF is 0, sides DE and EF are perpendicular. This means that angle DEF is a right angle, and thus DEFG is a rectangle.

To determine if DEFG is a rhombus, we can find the lengths of adjacent sides DE and EF.

The length of DE is 5.

The length of EF is 3.

Since the pair of consecutive sides (sides DE and EF) aren't congruent, DEFG is not a rhombus.

Since DEFG is not a rhombus, it also cannot be a square.

This means DEFG is a rectangle, but not a square.

Add all the numbers together to find your answer.

___________________________________________

The cooling of a dead body follows Newton's law of cooling. The general formula for Newton's law of cooling is given a\(s;T(t) = T0 + (T1 - T0) e^(-kt)\) Where: T(t) is the temperature of the object at time t.

T0 is the surrounding temperature.T1 is the initial temperature of the object. k is the constant of proportionality that depends on the nature of the object under consideration. Now, since we know the initial temperature of the corpse (34∘C), the surrounding temperature (10∘C), and the normal body temperature (37∘C), we can use these values to solve for the constant of proportionality (k) by substituting the values into the formula and then solving for\(k.37 = 10 + (34 - 10) e^(-k × 0\))Simplifying further, we get,27 = 24e^0Which gives us the value of\(e^0 = 1Therefore,37 = 10 + (34 - 10) e^-0kTo;27 = 24e^-0kTherefore;e^-0k = 27/24\)

Taking the natural logarithm of both sides of the equation above givess;T(t) = T0 + (T1 - T0) e^(-kt)Therefore, the equation for the temperature of the corpse as a function of time t is given as;T(t) = 10 + 24e^-0.12tNow, we are asked to determine how long (in hours) before 1:30 pm did the murder take place. Since we know that the initial temperature of the corpse (T1) was 37∘C, we can use this value and the surrounding temperature (T0) to find the time (t) that elapsed between the time of death and the time the corpse was found.37 = 10 + 24e^-0.12tSubtracting 10 from both sides of the equation gives;27 = 24e^-0.12tTaking the natural logarithm of both sides of the equation above gives;ln(27/24) = -0.12tSolving for t, we get;t = -ln(27/24)/0.12 = 4.79Therefore, the murder took place approximately 4.79 hours before 1:30 pm.

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Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Arrange equation variable for elimination

\(\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}\)

so

\(y+3x=-5\)

\(-\)

\(\underline{y-4x=9}\)

\(7x=-14\)

so the system of equations becomes

\(\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}\)

Solve 7x = -14 for x

\(7x=-14\)

Divide both sides by 7

\(\frac{7x}{7}=\frac{-14}{7}\)

Simplify

\(x = -2\)

For y - 4x = 9 plug in x = 2

\(y-4\left(-2\right)=9\)

\(y+4\cdot \:2=9\)

\(y+8=9\)

Subtract 8 from both sides

\(y+8-8=9-8\)

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\(\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}\)

Thus, the second option is correct.

The values of Relations, domain, range, and functions are calculated below.

What are the Relations, domain, range, and functions?

The domain of a function or relation is the set of all possible independent values the relation can take. It is the collection of all possible inputs. The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

   The domain of the graph = [-6, 5]

   Since, y-values vary from y = -2 to y = 3

   Range of the graph = [-2, 3]

4).

   The domain of the graph = [-3, 3]

   Range of the graph = [-6, 5]

5).

   Domain of the graph = (-∞, ∞)

   Range of the graph = (-∞, ∞)

6).

   Domain of the graph = (-∞, 4]

   Range of the graph = (-∞, ∞)

7).

   Domain of the graph = (-∞, ∞)

   Range of the graph = [-1, 5]

8)

   The domain of the graph = [-1, 5)

   Range of the graph = [-3, 3)

Hence, the values of Relations, domain, range, and functions are calculated above.

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(A) The price of the TV when purchased online is $325.

(B) The price of the TV when purchased at the superstore is $350.

(C) The online retailer offers a better deal as the TV is priced lower compared to the superstore.

To calculate the price when purchased online, we need to add a markup of 30% to the manufacturer's price of $250. The markup can be calculated as 30% of $250, which is $75. Adding this markup to the manufacturer's price gives us $250 + $75 = $325.

Similarly, to calculate the price when purchased at the superstore, we add a markup of 40% to the manufacturer's price of $250. The markup can be calculated as 40% of $250, which is $100. Adding this markup to the manufacturer's price gives us $250 + $100 = $350.

Comparing the prices, we can see that the online retailer offers a better deal as the TV is priced at $325, while the superstore sells it for $350. The online retailer provides a lower price for the same TV, making it the more cost-effective option for purchasing the product.

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Answer:

  (c)  pr +ps +qr +qs

Step-by-step explanation:

You want to identify an expression that can be factored by grouping.

This method of factoring involves grouping terms that have a common factor, then factoring that out. If the entire expression can be factored by grouping, then the result of this first round of factoring is expressions that also have a common factor.

One expression that can be factored by grouping is ...

  pr +ps +qr +qs

  = p(r +s) +q(r +s) . . . . . . . each pair of terms is factored

Now we notice that the factor (r+s) is common to both terms, so we can factor this further:

  = (p +q)(r +s)

The expression that can be factored by grouping is ...

  pr +ps +qr +qs . . . . choice C

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Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

From the given figure, the measure of angle OXZ is 10°.

Given that, XY and ZY are tangents to a circle with center O.

Tangent and radius of a circle meet at 90°. If we draw a radius that meets the circumference at the same point, the angle between the radius and the tangent will always be exactly 90°.

Here, angle formed at the center is

∠ZOX = 180° - ∠XYZ

∠ZOX = 180° - 20°

∠ZOX = 160°

ZO = XO = radius

Now, ΔZOX is an isosceles triangle

So, ∠ZOX +∠OXZ+∠OZX = 180°

⇒ 160° + 2∠OXZ = 180°

⇒ 2∠OXZ = 20°

⇒ ∠OXZ = 10°

Therefore, from the given figure, the measure of angle OXZ is 10°.

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The remainder of the expression p(x) + (x - 5) can be found by dividing the polynomial p(x) = 2x^3 - 3x + 5 by the binomial (x - 5).

To find the remainder, we use the polynomial division method.

Dividing p(x) by (x - 5) gives us a quotient and a remainder.

The remainder is the value left over after the division.

Performing the polynomial division, we find that the remainder of p(x) + (x - 5) is 10x - 20.

Therefore, the remainder of the expression p(x) + (x - 5) when p(x) = 2x^3 - 3x + 5 is 10x - 20.

This means that when we divide p(x) + (x - 5) by (x - 5), the remainder is 10x - 20.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Lin's approach also works, and the resulting equation is -4x + 26y = 40.Lin's approach of multiplying the first equation by 6 and the second equation by 4 is a valid method in solving a system of equation.

The goal is to manipulate the equations in a way that allows us to eliminate one of the variables when we subtract one equation from the other.

Let's assume the system of equations is:

Equation 1: 2x + 3y = 12
Equation 2: 4x - 2y = 8

When Lin multiplies the first equation by 6 and the second equation by 4, we get:

6(2x + 3y) = 6(12)    =>    12x + 18y = 72
4(4x - 2y) = 4(8)     =>    16x - 8y = 32

Now, if we subtract the second equation from the first equation, we eliminate the y variable:

(12x + 18y) - (16x - 8y) = 72 - 32
12x + 18y - 16x + 8y = 40
-4x + 26y = 40

Therefore, Lin's approach also works, and the resulting equation is -4x + 26y = 40.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

\(\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}\)

For bigger pentagon

\(\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}\)

Since both, the ratio is the same

\(\dfrac{x}{7} =\dfrac{7}{15}\)

\(x=\dfrac{49}{15} =3.3\ cm\)

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

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Answer:

y=6,000x  

Step-by-step explanation:

If y is equal to the amount of milk and 6000 gallons are produced per hour, then you must multiply the number of hours (x) by 6000 gallons of milk produced in 1 hour, so y=6,000x

Note:

those three (or the last three) answers are basically the same

y=x6,000

y=6,000x

y=6,000x