PLEASE HELP WITH THIS OME THABK YOY!

The roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3

The quadratic formula is a formula that provides the solution(s) to a quadratic equation.

Quadratic formula :-

x = -b±√b²-4ac / 2a

Given that, a quadratic equation, x²+4x+1=0, we need to solve it by using quadratic formula,

Quadratic formula :-

x = -b±√b²-4ac / 2a

Here, a = 1, b = 4 and c = 1

Therefore,

x = -4±√4²-4×1×1 / 2

x = -4±√16-4 / 2

x = -4±√12 / 2

x = -4±2√3 / 2

x = -2±√3

Therefore, x = -2+√3 or -2-√3

Hence, the roots of the quadratic equation, x²+4x+1=0, are x = -2+√3 or -2-√3

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The question was incomplete, so I solved for,

Solve the following quadratic equation by using quadratic formula method: x²+4x+1=0

Answer:

positive

Step-by-step explanation:

3/5 + 3/5 = 6/5   positive

The dimensions of the poster with the smallest area is ([tex]12\sqrt{389} +24[/tex]) units width and ([tex]\sqrt{389} /6+4[/tex]) units height.

It is a measurement of a point or line extended in one direction, according to the notion of dimension. Each shape we see has a few dimensions.

The statement indicating the powers to which the fundamental units are to be increased in order to obtain one unit of a derived quantity is known as the dimensional formula of any quantity. The formulation for any physical quantity Q's dimensional formula is given by,

Dimensional Formula: Q = [tex]M^{a}L^{b}T^{c}[/tex]

The area of printable area is wh.

wh = 778

Due to margins on both sides, the poster is w + 2*12 wide and h + 2*2 tall.

We want to reduce the poster's size =

(w+ 2 * 12)(h + 2 * 2) or (w + 24)(h + 4)

Wh = 778, thus we can replace it with h = 778/w.

Then, A = (w + 24)(778/w + 4)is the poster's size, which we aim to reduce.

(w + 24)(778/w + 4) = 778 + 4w + 18672/w + 96 =

4w + 874 + 18672/w

We minimize this by calculating

the formula dA/dw = 4 - 18672/w2 and setting it to 0

[tex]4-18672/w^{2} =0[/tex]

[tex]4w^{2} =18672[/tex]

[tex]w^{2} =18672/4[/tex]

[tex]w=\sqrt{4668}=12\sqrt{389}[/tex]

[tex]h=778/(12\sqrt{389} )=\sqrt{389} /6\\[/tex]

Keep in mind that the margins' ratio matches that of h and w.

In due to the fact that the problem requests the poster's width and height,

Width = [tex]12\sqrt{389} +24[/tex]

Height = [tex]\sqrt{389} /6+4[/tex]

Thus, the width is ([tex]12\sqrt{389} +24[/tex]) units and the height is ([tex]\sqrt{389} /6+4[/tex]) units.

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The mean fluoride concentration can be calculated by adding up all the values and dividing by the number of observations. In this case, the mean fluoride concentration is:

Mean = (0.915 + 0.885 + 0.911 + 0.889 + 0.921) / 5

Mean = 4.521 / 5

Mean = 0.9042 mg/l

The 90% confidence interval for the average fluoride concentration can be calculated using the standard error and a t-distribution. The standard error is given by the standard deviation of the sample divided by the square root of the number of observations:

Standard error = Standard deviation / √(Number of observations)

Since we do not have the standard deviation, we can use the sample standard deviation as an estimate. The sample standard deviation can be calculated using the formula:

Sample standard deviation = √((Σ(x_i - mean)^2) / (n - 1))

where x_i is the i-th observation and n is the number of observations.

In this case, the sample standard deviation is approximately 0.0132 mg/l. The standard error is:

Standard error = 0.0132 / √(5) = 0.0057 mg/l

The t-value for a 90% confidence interval and 4 degrees of freedom (n - 1) can be found using a t-distribution table. With a t-value of 1.833, the 90% confidence interval is:

Confidence interval = Mean ± t-value * Standard error

Confidence interval = 0.9042 ± 1.833 * 0.0057

Confidence interval = [0.8914, 0.9170] mg/l

So, the 90% confidence interval for the average fluoride concentration in the sample is [0.8914, 0.9170] mg/l. This means that we are 90% confident that the true average fluoride concentration in the population is between 0.8914 and 0.9170 mg/l.

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Cost of 1 shirt=$7.5 and 1 pant cost=$18.5

A linear equation is an equation where the optimal strength of the variables is usually unity. 1 Diploma Also known as the equation. The trend form of a single-variable linear equation is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The trendy form of linear equations in variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant. 

Now for the given Question:

Let the cost of shirt and pant be x and y respectively.

Then the linear equations will be;

3x+5y=115          (1)

4x+3y=85.5        (2)

Now we will balance the coefficient of x in both the equation so

multiplying equation 1 and 2 with 4 and 3 respectively then the equations become,

12x+20y=460          (3)

12x+9y=256.5          (4)

subtracting equation 4 from 3 we get

11y=203.5

y=203.5/11

y= $18.5

substituting above value of y in equation 1 we get

4x+5*18.5=85.5

4x+55.5=85.5

4x=85.5-55.5

4x=30

x=30/4

x=$7.5

Hence cost of shirt and pant are $7.5 and $18.5 respectively.

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The regression model for predicting points/game as a function of yards/game will use the data from the Excel file to determine the statistical parameters that describe the relationship between the two variables.

Regression analysis is a statistical tool used to determine the relationship between two or more variables. In this case, we will use regression analysis to develop a model for predicting points/game as a function of yards/game.

The intercept is the point at which the regression line intersects the y-axis. The slope is the steepness of the regression line. The correlation coefficient (r-value) is a measure of the strength of the relationship between the two variables.

A value of 1 indicates a perfect positive relationship, a value of -1 indicates a perfect negative relationship, and a value of 0 indicates no relationship.

The statistical significance of the model is determined by the p-value. The p-value is the probability that the relationship between the two variables is due to chance.

If the p-value is less than 0.05, we can say that the relationship is statistically significant, meaning that it is unlikely to be due to chance.

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13.2% of 200 would be 26.4

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is frequently represented by the percent sign, "%".

A percentage is a dimensionless number; it has no unit of measurement

13.2% of 200 would be:

13.2% is represented as:

13.2/100

Thus, 13/100 * 200 would be 26.4

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13.2% of 200 = ?

What is 13.2 percent of the number 200

Answer:

v=424.1cm³

Step-by-step explanation:

v=πr²h

v=π×3²×15

v=424.1150082

∴v=424.1cm³

The hypothesis that I propose is that the higher the GDP per capita, the higher the percentage of population that is considered to be living in democracy.

To test this hypothesis, a simple linear regression equation can be used, where Y is the percentage of population living in democracy, and X is the GDP per capita. From the graph, we can see that the linear equation is Y = 0.0006X + 51.7. This means that, for every additional $1,000 of GDP per capita, the percentage of population living in increases by 0.6%. This could be explained by the fact that higher GDP per capita often results in higher levels of socioeconomic development, which in turn leads to better access to education, and other social services. In turn, this can lead to higher levels of political participation, which is associated with higher levels of democracy.

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Using Compound Interest, The population of bears would be 1851 after 8 years with 2% increase every next year.

Compound interest is defined.

Savings interest that is calculated on both the principal and the interest accrued over the course of prior periods is called compound interest. The monthly compound interest formula is used to get the compound interest every month. The formula for compound interest is as follows: CI = P(1 + (r/12)). 12t - P, where t is the passing of time, P is the total amount of the principal, and r is the interest rate in decimal form.

Formula: Amount = P(1+r/100)ⁿ

where, P is principle

r is rate of increase in the given time period

n is time in years

Given that,

P = 1580

r = 2%

n = 8 years

∴ Population of bear  = 1580(1 + 2/100)⁸

                                 = 1580(1+0.02)⁸

                                 = 1580(1.02)⁸

                                 = 1580(1.171)

                                 = 1851

Thus, the population of bears would be 1851 after 8 years.

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well, the change is just 14.99 - 9.99 = 5 bucks.

now, the change in relation to the original price, that is 14.99(origin amount) which is the 100%, what is 5 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 14.99 & 100\\ 5& x \end{array} \implies \cfrac{14.99}{5}~~=~~\cfrac{100}{x} \\\\\\ 14.99x=500\implies x=\cfrac{500}{14.99}\implies x\approx 33.36[/tex]

The sum of this infinite geometric series is -25/9.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The given geometric series is -5+4-16/5+64/25-256/125

The general formula for finding the sum of an infinite geometric series is S= a/1-r, where s is the sum, a is the first term of the series, and r is the common ratio.

Here, a=-5 and r= -4/5

Now, S = -5/(1+4/5)

= -5/(9/5)

= -25/9

Therefore, the sum of the series is -25/9.

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The probability of getting a specific poker hand, consisting of five cards, dealt from a well-shuffled standard deck (no joker cards) can be found by using combinations and permutations.

The number of ways to choose five cards from a deck of 52 is given by the combination formula :

C(52,5) = 2,598,960

To find the number of ways to get a specific hand, we need to consider the number of ways to arrange the cards in that hand, which is given by the permutation formula :

P(5,5) = 5!.

For example, to find the probability of getting a straight flush, which is five cards of the same suit in numerical order, there are 4 possible suits, and 10 possible ways to get a straight (A, 2, 3, 4, 5; 2, 3, 4, 5, 6; ...; 9, 10, J, Q, K).

Therefore, the probability of getting a straight flush is:

4 * 10 / C(52,5) = 0.00139.

To find the probability of other hands, such as a flush, a full house, etc., we need to follow a similar process of counting the number of ways to get that hand and divide it by the total number of possible hands.

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Answer: -735

Step-by-step explanation:

735 feet below sea level is just 735 below 0, so -735 :)

Answer: $1,393.00

Step-by-step explanation:

The required probability of the son with normal vision is 0.50 and for the normal  blood clotting is 0.

Parent phenotype                                         Carrier woman

Affected man (Hemophilic)                           (colorblindness)

Parents X^h Y                                                    XX^C

Gametes X^h, Y X, X^C

Progeny                      X X^h       X^C X^h        X^C Y,       XY

Total outcome = 100

Favourable outcomes for a son with normal vision is= 50

Probability of a son with normal vision = 50/100

                                                                = 0.50

probability of a son with normal blood clotting = 0 / 100

                                                                             = 0

Therefore, the probability of the son with normal vision and normal blood clotting is 0.50 and 0 respectively.

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The measure of each angle is -

∠E = 63°

∠F = 43°

∠D = 74°

Scale factor tells us by how much one quantity is greater than the other. It is denoted by {K}. Mathematically -

K = a/b                        .... Eq { 1 }

Rewriting, we get -

a = Kb                             .... Eq { 2 }

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].

Given are the two similar triangles as ΔABC and ΔDEF.

Since the triangles are similar, their corresponding angles are equal. We can write -

∠C = ∠F                                    {triangles are similar}

(5x + 8) = (6x + 1)

6x - 5x = 8 - 1

x = 7                                                   .... Eq { 1 }

∠A = ∠D                                                     {triangles are similar}

(8y + 2) = (11y - 25)

11y - 8y = 27

3y = 27

y = 9                                                                   .... Eq { 2 }

We can write -

∠D + ∠E + ∠F = 180°                                                        .... Eq { 3 }

(6x + 1) + (11y - 25) + ∠E = 180°

(6 x 7 + 1) + (11 x 9 - 25) + ∠E = 180°

43 + 74 + ∠E = 180°

∠E = 180 - 117

∠E = 63°

∠F = (6x + 1) = 43°

∠F = 43°

∠E = (11y - 25) = 74°

∠D = 74°

Therefore, the measure of each angle is -

∠E = 63°

∠F = 43°

∠D = 74°

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Factor when dividing the function the remainder is zero. The factorized form of the function  is 3(x^2-2x-80).

A factor of a function is a factor which when multiplied by another the result is the function itself.

here, we have,

We know that in order to factorize a function of the second-order, we need to take the common terms out from the expression,

f(x) = 3x^2 - 6x - 240

now,

Taking 3 as the common terms out of the entire function,

f(x) = 3x^2 - 6x - 240

     = 3(x^2-2x-80)

Hence, the factorized function, f(x) = 3x^2 - 6x - 240 is 3(x^2-2x-80)

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Answer:

y = -0.916 * (1 - 0.140)^t

Step-by-step explanation:

f(t) = 0.4 * (1.16)^(t - 1)

To rewrite the equation in the form y = a(1 + r)^prime or y = a(1 - r)^prime, we can take the natural logarithm of both sides:

ln(f(t)) = ln(0.4) + (t - 1)ln(1.16)

ln(f(t)) = ln(0.4) + tln(1.16) - ln(1.16)

So,

y = ln(0.4) + tln(1.16)

Now we can rewrite this in the desired form by letting a = ln(0.4) and r = ln(1.16):

y = a + t * r

a = ln(0.4) = -0.916

r = ln(1.16) = 0.140

So,

y = -0.916 + 0.140 * t

y = -0.916 * (1 - 0.140)^t

This form of the equation shows that the function f(t) represents exponential decay. The value of "a" represents the initial value of f(t) and "r" represents the decay rate. Since r is negative, the function decreases over time, which means that the function represents exponential decay.

If the area of the circular base of a cone is 9π cm².  lateral area of the cone is 36π cm² and the  the total surface area painted black is approximately 43.2π square feet.

1. Let's call the radius of the circular base "r". The area of the circular base is 9π, so:

r² = 9

r = 3

Since the slant height is four times the radius, the slant height is 4 * 3 = 12.

The lateral area of a cone can be calculated using the formula:

A = π * r * l

Where:

r = radius

l = slant height

Plugging in the values, we get:

A = π * 3 * 12

A = 36π

2. Let's call the radius of each cone "r" and the circumference of the base of each cone is 8π, so:

2 * π * r = 8π

r = 4

The lateral surface area of a cone can be calculated using the formula:

A = π * r * l

Where:

r = radius

l =slant height

Plugging in the values, we get:

A = π * 4 * 12

A = 48π

Since 70% of the lateral surface area is painted red, 30% is painted black. So, the total surface area painted black for each cone is:

0.3 * 48π

= 14.4π

And the total surface area painted black for all three cones is:

3 * 14.4π

= 43.2π

Therefore   the approximate lateral area of the cone is 36π cm² and the total surface area painted black is approximately 43.2π square feet.

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The system of equations has unique solution (4, -17).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=-6x+7--------(I) and 4x+3y=-35 --------(II).

Substitute equation (I) in equation (II0, we get

4x+3(-6x+7)=-35

4x-18x+21=-35

-14x=-56

x=4

Substitute x=4 in equation (I), we get

y=-6(4)+7

y=-24+7

y=-17

So, solution is (4, -17)

Here, a₁=6, b₁=1, c₁=-7

a₂=4, b₂=3 and c₂=35

Now, 6/4 = 1/3

3/2≠1/3

Equations has unique solution (Intersecting lines)

Therefore, the system of equations has unique solution (4, -17).

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Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.

The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.

When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.

When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.

However, age is a numerical variable, and the standard deviation can be calculated for it.

To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.

Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.

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The 24% of the calories in one slice of pizza come from fat.

To find the percentage of calories from fat in one slice of pizza, we use the formula:

(Calories One gram of fat provides 9 calories, so 8 grams of fat provide 8 x 9 = 72 calories.

Therefore, the percentage of calories from fat in one slice of pizza is:

(72 / 300) x 100 = 24%

Calories are units of energy that a food or drink produce. we can normally find calorie numbers listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you are burning by doing different activities.

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Answer:

x=-91

Step-by-step explanation:

So to solve, 42= -x/7+29 we first have to simplify both sides:

42= -1/7x+29

Then we have to flip the equation:

-1/7x+29=42

Okay so now we subtract 29 from both sides:

-1/7x=13

Now we Multiply both sides by 7/(-1)

And your final answer is = -91

To check input x:

42=-91/7+29

and you end up with 42

42=42

so its correct

Answer:

1. angle BAC and angle CAD are a linear pair. This means they both angle measures add up to 180 degrees.

2. 180= x + 132

3. 132+48 = 180

4. Angle BAC= 48 degrees.

Step-by-step explanation:

2. To solve for x, subtract 132 from both sides.

Juwan travelled distance of 36 miles from his home before his tire went flat.

Distance is inversely correlated with time.

Distance = rate*time

d = rt

into town: d = 6t

back home: d = 3(18-t)

As the distance equal to d.

6t = 3(18-t)

6t = 54 - 3t

6t + 3t = 54

9t = 54

t = 6 hours.

So, the distance;

d = 6*6 = 36 miles

Thus, Juwan travelled 36 miles from his home before his tire went flat.

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In conclusion, the length and structure of the human ear canal affect hearing by amplifying specific frequencies of sound and shielding the inner ear from strong sounds.

The measurement or expanse of something from end to end is defined as length. In other terms, it is the greater of the two or the highest of three geometrical forms or objects' dimensions. A rectangle, for example, has length and width dimensions.

Here,

The human ear canal is 2.5 cm long on average, and its form and length are crucial in hearing. Sound waves enter the ear canal and are directed towards the eardrum, which vibrates. These vibrations are subsequently conveyed to the middle ear bones, which enhance and transport the sound to the inner ear. The length and structure of the ear canal aid in the amplification of some frequencies of sound over others, a phenomenon called as resonance. This resonance improves the ear's capacity to detect particular sounds, such as speech, and makes them easier to hear.

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