x2 + 8x + 4 = 0

please help
Solve the quadratic equation

Answer: AD bisects BC

AD forms right angles with BC

AD is the perpendicular bisector of BC

Step-by-step explanation:

Answer: He spent $7.25 dollars.

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of candy = $3.50

Cost of a pretzel = $3.25

Total amount to spend = $30

Let the number of candies = c

Let the number of pretzels = p

The inequality to spend on possible numbers of candies and pretzels:

3.50c + 3.25p ≤ 30

Thus,

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

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Estimating the height of an object without using trigonometry can be achieved by carefully selecting an angle of elevation and applying basic geometry principles. By measuring the distance to the object and the angle of elevation, a right-angled triangle can be formed.

Choosing your angle of elevation and applying fundamental geometry principles is one way to estimate an object's height without using trigonometry. The procedure is explained in detail here:

Choose an appropriate location: Position yourself a good ways off from the item where you can obviously see both the base and the highest point of the article. Guarantee that you have an unhampered view.

Select an elevation angle: Select a point of rise that permits you to quantify both the separation from your situation to the foundation of the item and the point between the ground and your view to the highest point of the article without any problem. In order to reduce the number of errors brought on by inaccurate measurements, it is preferable to select a greater elevation angle.

Determine the object's distance from you: Utilize an estimating tape or some other distance-estimating instrument to decide the even distance (along the ground) from your situation to the foundation of the item. Let's call this distance "d."

Take note of the elevation angle: Measure the angle between your line of sight to the top of the object and the ground with an angle-measuring tool like an inclinometer or clinometer. We should indicate this point as 'A'.

Apply fundamental math: Draw a right-angled triangle with the distance "d" at the base, the object's height (which we want to estimate), and the line of sight from your position to the top of the object at the hypotenuse.

Use ratios from trigonometry: We can rely on the fundamental trigonometric relationship between the opposite side and the hypotenuse in a right triangle, despite our intention to avoid using trigonometry. In this instance, the object's height is on the opposite side, and the line of sight is on the hypotenuse. The sine function reveals the relationship: sin(A) = level/hypotenuse.

Determine the height: Adjust the equation to account for height: height is equal to sin(A) x hypotenuse.

Alternate values: Plug in the known qualities into the situation. The distance "d" that you measured in step 3 is the value of the hypotenuse.

Assess and determine the height: Ascertain the level of the article utilizing the condition from stage 8. Based on the elevation angle chosen, this estimate represents the object's approximate height.

It is essential to keep in mind that, despite the fact that this method can provide a reasonable estimate of the object's height, measurement errors and assumptions made during the process may still result in some inherent inaccuracies.

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Main Answer:

Mars is bigger than Pluto by 27 times.

Explanation:

Given: Volume of Mars = \(1.31\) × \(10^{21} m^{3}\)

            Volume of Pluto = \(4.93\) × \(10^{19} m^{3}\)

To find: Determine how many times bigger is Mars than Pluto.

No. of times bigger = \(\frac{Volume of Mars}{Volume of Pluto}\)

                              = \(\frac{1.31 * 10^{21} m^{3} }{4.93 * 10^{19}m^{3} }\)

                              = \(\frac{131}{493} * 10^{2}\)

                              =0.2657 × 100

                              = 26.57

                              =27

Final Answer:

Therefore, 27 times bigger is Mars than Pluto.

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A block of wood has a density of p (kg/m^3). The water density is 1000 kg/m^3. The block of wood is 2 meters long and has a cubic shape. If the block is slightly depressed and then released, it bobs up and down, reaching its highest point once every 2 seconds.

Since the block is a cube with side length 2 meters, its volume is V = L^3 = 2^3 = 8 m^3.The buoyant force acting on the block is Fb = 1000 kg/m^3 * 9.8 m/s^2 * 8 m^3 = 78400 N.

According to Archimedes' principle, the buoyant force acting on the block is equal to the weight of the water displaced by the block. Therefore, the weight of the water displaced by the block is 78400 N.

The mass of the block is given by m = p * V = p * 8 m^3. Therefore, the weight of the block of wood is Fg = p * 8 m^3 * 9.8 m/s^2.The block of wood bobs up and down once every 2 seconds. This means that the time it takes for the block to complete one cycle is T = 2 seconds. The frequency of the block's motion is f = 1/T = 1/2 Hz. The period of the block's motion is the time it takes for the block to complete one cycle, which is T = 2 seconds.

we get f = (1/2π) * √(78400 N/(p * 8 m^3 * 9.8 m/s^2) - 1) = 0.25 Hz.  \Solving for the density of the block of wood, we get p = 78400 N/(8 m^3 * 9.8 m/s^2 * (2π * 0.25 Hz)^2 + 1) = 410 kg/m^3.

Therefore, the density of the block of wood is 410 kg/m^3.

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The values in the ratio table are as follows:

A ratio table is just a table that shows how two different quantities relate to one another. Ratio tables are useful for understanding how two different quantities relate to one another.

Given a ratio table that has the initial ratio of 4

For the first column

Ratio = 8/2 = 4

For the second column

Ratio = x/10

Since the ratio will be the same

=> 4 = x/10

=> x = 40

For the third column

Ratio = 56/x

=> 4 = 56/x

=> x = 14

For the fourth column

Ratio = x / 18

x = Ratio *18

x = 72

Therefore, The values in the ratio table will be 40, 14, and 72

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The coordinate of point K is (1, 0).

To find the coordinates of point K, which is 1/3 of the way from point B to point A along segment AB, we can use the concept of linear interpolation.

The coordinates of point A are (-3, -2) and the coordinates of point B are (9, 4). To find the coordinates of point K, we interpolate between the x-coordinates and the y-coordinates separately.

For the x-coordinate of point K:

The distance between the x-coordinate of point A and the x-coordinate of point B is 9 - (-3) = 12. To find 1/3 of this distance, we multiply it by 1/3: (1/3) * 12 = 4. So, point K will have an x-coordinate that is 4 units away from the x-coordinate of point A in the direction of point B. Thus, the x-coordinate of point K is -3 + 4 = 1.

For the y-coordinate of point K:

The distance between the y-coordinate of point A and the y-coordinate of point B is 4 - (-2) = 6. To find 1/3 of this distance, we multiply it by 1/3: (1/3) * 6 = 2. So, point K will have a y-coordinate that is 2 units away from the y-coordinate of point A in the direction of point B. Thus, the y-coordinate of point K is -2 + 2 = 0.

Therefore, the coordinate of point K is (1, 0).

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23 tortillas can be made from the remaining dough.

If 16 small tortillas have been cut from a square sheet of dough with a side length of 14 inches, then the area of the initial sheet of dough is:

Area of initial sheet of dough = (side length)² = 14² = 196 square inches

The circumference of each small tortilla is given as 7.85 inches. We can use the formula for the circumference of a circle to find its radius "r":

Circumference = 2πr

7.85 = 2πr

r = 7.85 / (2π) ≈ 1.25 inches

The area of each small tortilla is given by:

Area of each small tortilla = πr^2 ≈ 4.91 square inches

The total area of 16 small tortillas is:

The total area of 16 small tortillas = 16 × Area of each small tortilla ≈ 78.57 square inches

Therefore, the area of the leftover dough is:

Area of leftover dough = Area of an initial sheet of dough - Total area of 16 small tortillas

= 196 - 78.57

≈ 117.43 square inches

Number of small tortillas that can be made from the leftover dough ≈ Area of leftover dough / Area of each small tortilla

≈ 117.43 / 4.91

≈ 23.93

Since we can only make whole tortillas, we can make a maximum of 23 small tortillas from the leftover dough.

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Complete question:

16 small tortillas have been cut from the square sheet of dough. The circumference of each small tortilla is 7.85 in. How many small tortillas can be made from the leftover dough?  while the side of the dough is 14. Show your thinking

Answer:

Step-by-step explanation:

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

Answer:

Energy=Mass * the speed of light^2

Step-by-step explanation:

I'm not to sure how to explain this but I'll try my best.

Albert Einstein discovered this equation, E=mc^2.

The equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

You could probably search up better explanations, tell me if this helps.

60% of the seats on the train are empty

you have to divide 900 by 9 to get 100 because percents are out of 100, then you have to divide 540 by 9 also.

Answer:

60%

Step-by-step explanation:

Because there are 540 empty, and 900 total, you need to divide 540 by 900.

540/900=54/90=6/10=60/100

When you get 60/100, or 0.6, you know that it is 60 percent because percent is out of 100.

Answer:

Undefined

Step-by-step explanation:

If x = 9, then.......

\(f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=\) Undefined

When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

What is statistical validity?

Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.

It can also be the statistics which are derived from the research works or studies.

What is frequency in statistics?

Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.

For a given set of data the frequency can either be 0 or more than that.

Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.

What is margin of error estimate?

The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.

The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the  interval.

Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

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Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

The kind of sample that is described in the scenario is a lottery sample.

The lottery sample is the kind of sample that is described in the scenario in which 500 people attend a charity event, and each of them buys a raffle ticket.

The ticket stubs are placed in a drum and mixed thoroughly, and out of them, a few are drawn.

People whose tickets are drawn are declared winners of a prize. It is a type of probability sampling that depends on the element of chance.

In this type of sample, the probability of selecting an element is unknown and cannot be measured. I

t is a random process in which the probability of winning or being selected for the sample is entirely based on chance.

Hence, the lottery sampling technique is the appropriate one in the scenario.

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The expected value of the game is -$0.054, which means that if you play this game many times, you can expect to lose around 5 cents per game on average.

We need to calculate the expected value of a game where you randomly select a marble from a bag containing 2 black marbles, 8 white marbles, and 27 red marbles.

If the marble is black, you win $3.

If the marble is white, you win $2.

If the marble is red, you lose $1.

The expected value of a game is the sum of the products of each outcome and its probability.

To find the expected value of this game,

we need to first calculate the probabilities of each outcome.

P(bag contains a black marble) = 2/37P(bag contains a white marble)

= 8/37

P(bag contains a red marble)

= 27/37

Probability of winning $3

= P(black marble)

= 2/37

Probability of winning $2

= P(white marble)

= 8/37

Probability of losing $1

= P(red marble) = 27/37

Expected value

= (Probability of winning $3 × $3) + (Probability of winning $2 × $2) + (Probability of losing $1 × $-1)

Expected value = (2/37 × 3) + (8/37 × 2) + (27/37 × -1)

Expected value = -0.054$

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Answer:

1.85

Step-by-step explanation:

So, s (sketchbook) is a+1.90.

8a+ 3(a+1.90)=26.05

8a+3a+5.7=26.05

11a=20.35

a=1.85

Check:

8x1.85=14.8

s=11.25

Answer:

A= 1.85

Step-by-step explanation:

I made an equasion

8(a) + 3(a+1.90) = 26.05

distributed

8a+ 3a + 5.70 = 26.05

Added

11a+ 5.70= 26.05

subtracted

11a= 20.35

divided

a= 1.85

Answer:

Sin0= y/r

X= -4 and r= 9 (radius is also the hypotenuse)

In quadrant II y is positive

X^2 +y^2 = r^2

-4^2 + y^2 = 9^2

16 + y^2 = 81

Y^2 = 81-16

Y^2 = 65

Y= sqrt65

Sin0= sqrt65/9

Step-by-step explanation:

Answer:

20/27

Step-by-step explanation:

The starting point is something that need not be explained for its truth is evident. The mind directs and is the cause of everything. Must be able to rest with certainty within these things.

The number being divided (in this example, 15) is known as the dividend, and the number being divided by (in this case, 3) is known as the divisor. The number to be split or dispersed into a given number of equal parts in a division problem is referred to as the dividend. As in the preceding example, when we split 20 apples among 5 persons, the dividend is the number 20; and the divisor is the number 5. Dividend = Divisor x Quotient + Remainder is the Math formula for calculating the dividend. Typically, when we divide one integer by another, we get x/y = z. Here, x represents the dividend, y represents the divisor, and z represents the quotient.

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Example 1: y = x⁴ – x³ + x² – x + 1. Example 2: y = x⁴ + 6x² + 25.These polynomials have non-zero coefficients for the terms x³ and x², which means they cannot be expressed in the required form.

Quartic polynomials of the form y = a(x – h)⁴ + k cannot represent all quartic functions. Some quartic polynomials cannot be written in this form, for various reasons, including the presence of the term x³.Here are two examples of quartic polynomials that cannot be written in the form y = a(x – h)⁴ + k:

Example 1: y = x⁴ – x³ + x² – x + 1

This quartic polynomial does not have the same form as y = a(x – h)⁴ + k. It contains a term x³, which is not present in the given form. As a result, it cannot be written in the form y = a(x – h)⁴ + k.

Example 2: y = x⁴ + 6x² + 25

This quartic polynomial also does not have the same form as y = a(x – h)⁴ + k. It does not contain any linear or cubic terms, but it does have a quadratic term 6x². This means that it cannot be written in the form y = a(x – h)⁴ + k.Therefore, some quartic polynomials cannot be expressed in the form of y = a(x-h)⁴+k, as mentioned earlier. Two such examples are as follows:Example 1: y = x⁴ – x³ + x² – x + 1

Example 2: y = x⁴ + 6x² + 25

These polynomials have non-zero coefficients for the terms x³ and x², which means they cannot be expressed in the required form. These are the simplest examples of such polynomials; there may be more complicated ones as well, but the concept is the same.

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The resulting function is y = -9e^(2x) - 9. The original function y = ez is vertically compressed by a factor of 9, reflected across the x-axis, and shifted down 9 units.

The given function is y = ez. To transform this function, we follow the steps given: vertical compression by a factor of 9, reflection across the x-axis, and shifting down 9 units. First, the vertical compression by a factor of 9 is applied to the function. This means that the coefficient of the exponent, z, is multiplied by 9. Thus, we have y = 9ez. Next, the reflection across the x-axis is performed. This entails changing the sign of the function. Therefore, y = -9ez.

Finally, the function is shifted down 9 units. This is achieved by subtracting 9 from the entire function. Thus, the resulting function is y = -9ez - 9. In the final form, y = -9e^(2x) - 9, we also observe that the exponent z has been replaced with 2x. This occurs because the vertical compression by a factor of 9 is equivalent to the horizontal expansion by a factor of 1/9, resulting in a change in the exponent.

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The sample autocorrelation function is ρ(k) = (1/n) ∑(t=k+1)ⁿ 3(t - 1) (3t-k)

To compute the sample autocorrelation function for our time series, we can use the following formula:

ρ(k) = (1/n) ∑(t=k+1)ⁿ (3t - 3) (3t-k - 3)

where ρ(k) represents the autocorrelation at lag k, n represents the number of observations (which in our case is 100), 3 represents the sample mean of the time series, and the summation is taken over all t=k+1 to n.

Then the function is written as,

=> ρ(k) = (1/n) ∑(t=k+1)ⁿ 3(t - 1) (3t-k)

Once we have computed the sample autocorrelation function, we can plot it to visualize the pattern of correlation between the time series and its lagged values.

The plot will have lag on the x-axis and autocorrelation on the y-axis. The plot will help us identify any significant correlations that exist between the time series and its lagged values.

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Hi there! :)

Let’s solve this problem! :)

Remember, the y-intercept of a line is where the graph touches the y-axis.

Let’s look at our graph.

Also, remember that y-intercepts always have an x-coordinate of 0.

So, the y-intercept of the line is

(0, 2)

We can also write this as 2.

Therefore, the y-intercept of this line is 2. (Answer)

Hope it helps. Enjoy your day/night :)

~Just a determined gal willing to help :-)

-Misty Sparkle

Answer:

3.B

4.D

5.B

6.B

Step-by-step explanation:

      3.B    16 minutes

4.D  53 inches

5.B  50 pounds

of sand and 75 gravel

6.B   8:5

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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The integral simplifies to ∫[0 to 4] sin(x²) dx.

To evaluate the double integral ∬dxcosyda, where the region D is bounded by y=0, y=x², and x=4, we need to set up the integral in terms of the given bounds and integrate over the region.

The region D is defined as follows:

0 ≤ y ≤ x²

0 ≤ x ≤ 4

To evaluate the integral, we can reverse the order of integration and integrate with respect to y first and then x.

∬dxcosyda = ∫∫D cos(y) dA

Integrating with respect to y first, we get:

∫[0 to 4] ∫[0 to x²] cos(y) dy dx

Integrating cos(y) with respect to y, we have:

∫[0 to 4] [sin(y)] [0 to x²] dx

Now we can evaluate this integral:

∫[0 to 4] [sin(x²) - sin(0)] dx

Since sin(0) = 0, the integral simplifies to:

∫[0 to 4] sin(x²) dx

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There is no solution for this system of equations. Hence, the answer is NS.

The system of equations is given by;

-x + 2y = -1 (1)4x - 8y = 5 (2)

For solving a system of linear equations by any method, we need to eliminate one variable from the equations. Let's eliminate x from the given equations. Multiplying equation (1) by 4, we get

4(-x + 2y = -1) ⇒ -4x + 8y = -4 ..........(3)

Now, we need to eliminate -4x from equation (3) and 4x from equation (2).

Adding equations (2) and (3), we get-

4x + 8y = -4+ 4x - 8y = 5 0 = 1.

Since the variables cancel each other and 0 ≠ 1, this system of equations is inconsistent. So, there is no solution for this system of equations. Hence, the answer is NS.

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The volume of the cuboids and triangular prisms are:

d). 2139 cm³, e). 1.6 mm³, f). 1428.84 m³, g). 264 yd³, and h). 96 m³

Volume of cuboid = length × width × height

d). 15.5 cm × 9.2 cm × 15 cm = 2139 cm³

e). 2 mm × 0.8 mm × 1 mm = 1.6 mm³

f). 6.3 m × 6.3 m × 3.6 m = 1428.84 m³

Volume of triangular prism = base area × height

g). 11 yd × 6 yd × 4 yd = 264 yd³

h). 4 m × 4 m × 6 m = 96 m³

Therefore, the volume of the cuboids and triangular prisms are:

d). 2139 cm³, e). 1.6 mm³, f). 1428.84 m³, g). 264 yd³, and h). 96 m³

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The standard form of the polynomial 2ab + a³ + 5a²b² - 2b³ is a³ + 5a²b² + 2ab - 2b³.

To rewrite the polynomial 2ab + a³ + 5a²b² - 2b³ in standard form, we arrange the terms in decreasing order of their exponents and combine like terms.

The given polynomial can be rewritten as:

a³ + 5a²b² + 2ab - 2b³

In standard form, the exponents of each term are arranged in descending order. The term with the highest degree is written first, followed by the terms with decreasing degrees. In this case, the terms are:

a³, 5a²b², 2ab, -2b³

Hence, the standard form of the polynomial 2ab + a³ + 5a²b² - 2b³ is:

a³ + 5a²b² + 2ab - 2b³

In this form, we can easily identify the highest degree term, the leading coefficient, and the individual variables present in the polynomial. The standard form helps in simplifying and performing various operations on polynomials, such as addition, subtraction, multiplication, and division.

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