solve in quadratic formula (show work)
\(2x^{2} +5x+1=0\)

Answer:

32 pieces of pipe

Step-by-step explanation:

24÷3/4=32

There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Answer:

y = 2x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1 ) and (x₂, y₂ ) = (3, 5 )

m = \(\frac{5-1}{3-1}\) = \(\frac{4}{2}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 1 )

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = 2x - 1 ← equation of line

Answer:

A) 0.25 miles per minute

Explanation:

edge 2021

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer:

C.  \( \dfrac{1}{3x + 1} \)

Step-by-step explanation:

\( \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = \)

Factor all polynomials.

\( = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

\( = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

To divide by a fraction, multiply by its reciprocal.

\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} \)

Cancel out common factors in the numerator and denominator.

\( = \dfrac{1}{3x + 1} \)

Answer:

Step-by-step explanation:

Exponential function is:

If we consider the time difference in years as x and the initial population as a, then we get:

Find the value of b:

The equation we got is:

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

General equation

Total years(x)=2020-2010=10

Now

So.our equation

This is the Step-by-step explanation:

Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

A random number selector can be used to select 100 families out of the total number of families living within a 50 mile radius of the amusement park.

Random sampling refers to the process of randomly selecting a set of samples from a population in random manner without bias.

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The center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

The total angle covered by the three cameras is 180°. The center camera has a field of 60° and the other two cameras, which are angled 45° away from the center camera, each has a field of 60°.

Therefore, together, the center camera and the two angled cameras cover a total of 60° + 60° + 60° = 180°.

When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "°" stands for the angle. The Latin word "Angulus" is where the word "angle" originated.

Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.

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A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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Answer: The graph is NOT \(\text{y} > 3\text{x}-4\)

Explanation:

The inequality of \(\text{y} > 3\text{x}-4\)  has the boundary equation \(\text{y} = 3\text{x}-4\)

That equation is in the format \(\text{y} = m\text{x}+b\) which is slope-intercept form.

m = 3 = slope

b = -4 = y intercept

The positive slope indicates the boundary line goes uphill when moving to the right. However, the graph shows the complete opposite with the line going downhill. This means that the graph cannot possibly be \(\text{y} > 3\text{x}-4\)

The decimal equivalent to \(\frac{1}{3}\) is \(0.333\).

To get this i simplified \(\frac{1}{3}\) by dividing the numerator by the denominator.

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Answer:

17°C

Step-by-step explanation:

temperature rises by 13, so the temperature will be 4+13 = 17°C

Answer:

≈11.2

Step-by-step explanation:

Have a good day :)

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =80 \end{cases}\implies A=\cfrac{(80)\pi (6)^2}{360} \\\\\\ A=8\pi \implies A\approx 25.13~mi^2\)

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

\(|4+58|\) = 62

Answer: 35 dots

Step-by-step explanation:

If the population standard deviation were 10 instead of 5,Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation.

The margin of error (MOE) for a survey indicates how closely the survey results should be compared to the actual population value. For instance, a poll with a 3% margin of error shows that 72% of respondents prefer Brand A over Brand B.

Given,

If the population standard deviation were 10 instead of 5,

Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation. The margin of error diminishes as sample size grows, to be precise. The margin of error rises as population variability does as well. The margin of error grows as the confidence level does.

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Step-by-step explanation:

Multiply 320 by 163, which is 52160 meters

Answer:

A. \( 1.25x + 7y \le 110 \)

Step-by-step explanation:

No more than 110 lb total will be grilled. That means that the amount of meat that will be grilled is equal to or less than 110 lb.

\(total~weight \le 110\)

The total weight is made up of the weight of the chicken legs plus the weight of the racks of ribs.

1 chicken leg weighs 1.25 lb.

x chicken legs weigh 1.25x.

1 rack of ribs weighs 7 lb.

y racks of ribs weight 7y.

The total weight of the meat is

1.25x + 7y.

That weigh must be less than or equal to 110 lb.

\( 1.25x + 7y \le 110 \)

Answer: A. \( 1.25x + 7y \le 110 \)

Answer:

A is the answer

Step-by-step explanation:

1.25 per every Chicken leg

Chicken leg=x

7 per every Rack of ribs

Rack of ribs= y

1.25x+7y<110

Answer:

k = 20

Step-by-step explanation:

1) Isolate the variable

k - 8 = 12

  +8    +8

2) Solve

k = 12+8

k = 20

For the function f(x, y, z) = xyz and the solid region Q defined as Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3}, we can write the triple integral in six different orders of integration.

Each order represents a different sequence of integrating with respect to the variables x, y, and z. One of the triple integrals will be evaluated.

The six possible orders of integration for the triple integral of f(x, y, z) = xyz over the solid region Q = {(x, y, z): 0 ≤ x ≤ 1, 0 ≤ y ≤ 7x, 0 ≤ z ≤ 3} are as follows:

dz dy dx: Integrate first with respect to z, then y, and finally x. The limits of integration are z = 0 to z = 3, y = 0 to y = 7x, and x = 0 to x = 1.

dz dx dy: Integrate first with respect to z, then x, and finally y. The limits of integration are z = 0 to z = 3, x = 0 to x = 1, and y = 0 to y = 7x.

dx dz dy: Integrate first with respect to x, then z, and finally y. The limits of integration are x = 0 to x = 1, z = 0 to z = 3, and y = 0 to y = 7x.

dx dy dz: Integrate first with respect to x, then y, and finally z. The limits of integration are x = 0 to x = 1, y = 0 to y = 7x, and z = 0 to z = 3.

dy dz dx: Integrate first with respect to y, then z, and finally x. The limits of integration are y = 0 to y = 7x, z = 0 to z = 3, and x = 0 to x = 1.

dy dx dz: Integrate first with respect to y, then x, and finally z. The limits of integration are y = 0 to y = 7x, x = 0 to x = 1, and z = 0 to z = 3.

Now, let's evaluate one of the triple integrals, specifically the one with the order of integration dz dy dx:

∫∫∫xyz dz dy dx over the limits z = 0 to 3, y = 0 to 7x, and x = 0 to 1.

By evaluating this triple integral, we can find the numerical value of the integral and hence the answer to the specific computation.

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Answer:

Step-by-step explanation:

45 total hair bands

There are many expressions that are equivalent to 4y + 12, which can be obtained by using algebraic operations to manipulate the expression while maintaining its value. Here are a few examples:

12 + 4y

2(2y + 6)

4(y + 3)

8y/2 + 12

4(y + 3) - 3y + y

2(2y + 6) + 2(y - 3)

4y + 9 + 3

4y - 4 + 16

These are just a few examples. There are many other expressions that are equivalent to 4y + 12, depending on what operations you apply and how you choose to represent them.

In mathematics, an expression is a combination of mathematical symbols, numbers, and/or variables, that represents a value or a relationship between values. It may include arithmetic operations such as addition, subtraction, multiplication, and division, as well as algebraic operations such as powers, roots, and logarithms.

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Answer:

About 9 sq yd

Step-by-step explanation:

First, you know that 3ft. = 1 yd. That means each square is 1 sq yd. The length of the herb garden is 6 squares, while the width is about 1.5 squares. If you multiply those two to find the area, then you get about 9 square yards.

Answer:4/5

Step-by-step explanation:

Answer:

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