Convert the following percents to decimals.
150% =

Answer: 6

Step-by-step explanation:

15-9

Answer:

9:15   There is 6 more boys than girls.

Step-by-step explanation:

Have a blessed day! I hope this helps! Please give me brainliest!

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

Answer:

A

Step-by-step explanation:

The function f(x) = 3x + 3 - x is neither even nor odd.

The y-axis of the function k's graph is symmetric. This is apparent because, if we reflect any point on the graph across the y-axis, we will obtain a second point on the graph. For purposes of formal definition, the function k is even since k(-x) = k(x) for every x within the range of k.

If the function f(x) = 3x + 3 - x fits the requirements for even or odd functions, we may determine whether it is even, odd, or neither.

Being symmetric around the y-axis means that an even function has f(-x) = f(x) for every x falling inside its domain.

An odd function is symmetric around the origin, which means that for any x falling within the domain of f, f(-x) = -f(x).

We evaluate f(-x) and f(x) to see if they are equivalent in order to determine whether f(x) is even:

f(x) = 3x + 3 - x = 2x + 3 while f(-x) = 3x + 3 - x = -2x + 3

The function f(x) is not even since f(-x) is not equal to f(x).

We assess f(-x) and -f(x) and see if they are equivalent to determine whether f(x) is odd:

F(x) = -3(x) + 3(x) - (x) = -2x + 3 F(x) = -(3x + 3(x) - x) = -2x - 3

The function f(x) is not weird since f(-x) does not equate to -f(x).

The function f(x) = 3x + 3 - x is therefore neither even nor odd.

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Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer:

The graph of the polynomial function f(x) = x^4 + x^3 - 2x^2 will depend on the behavior of the function as x approaches infinity and negative infinity, as well as the location and behavior of any local extrema.

To determine the behavior of the function as x approaches infinity and negative infinity, we can look at the leading term of the polynomial, which is x^4. As x becomes very large (either positive or negative), the x^4 term will dominate the expression, and f(x) will become very large in magnitude. Therefore, the graph of the function will approach positive or negative infinity as x approaches infinity or negative infinity, respectively.

To find any local extrema, we can take the derivative of the function and set it equal to zero:

f(x) = x^4 + x^3 - 2x^2

f'(x) = 4x^3 + 3x^2 - 4x

Setting f'(x) equal to zero, we get:

4x(x^2 + 3/4x - 1) = 0

The solutions to this equation are x = 0 and the roots of the quadratic expression x^2 + 3/4x - 1. Using the quadratic formula, we can find these roots to be:

x = (-3 ± sqrt(33))/8

Therefore, the critical points of the function are x = 0 and x = (-3 ± sqrt(33))/8.

To determine the behavior of the function near each critical point, we can use the second derivative test. Taking the second derivative of f(x), we get:

f''(x) = 12x^2 + 6x - 4

Evaluating f''(0), we get:

f''(0) = -4

Since f''(0) is negative, we know that x = 0 is a local maximum of the function.

Evaluating f''((-3 + sqrt(33))/8), we get:

f''((-3 + sqrt(33))/8) = 11 + 3 sqrt(33)/2

Since f''((-3 + sqrt(33))/8) is positive, we know that x = (-3 + sqrt(33))/8 is a local minimum of the function.

Evaluating f''((-3 - sqrt(33))/8), we get:

f''((-3 - sqrt(33))/8) = 11 - 3 sqrt(33)/2

Since f''((-3 - sqrt(33))/8) is also positive, we know that x = (-3 - sqrt(33))/8 is another local minimum of the function.

Based on this information, we can sketch the graph of the function as follows:

Therefore, the statement that describes the graph of this polynomial function is: "The graph of the function has a local maximum at x = 0 and two local minima at x = (-3 ± sqrt(33))/8. As x approaches infinity or negative infinity, the graph of the function approaches positive or negative infinity, respectively."

Volatile data .

Mary is likely to miss out on any volatile data from the phone when she takes a logical image.

Volatile data includes data that is stored in temporary memory,

such as browser history, RAM, and other data stored in active memory.

This type of data will not be captured when taking a logical image of the phone.

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Answer:

x=5

y=1.5

Step-by-step explanation:

d) 3\(x^{2}\) + 5x - 8 has the same value as the given expression.

To simplify the given expression, we can combine like terms by subtracting the second expression from the first one.

8\(x^{2}\) + 2x - 6 - (5\(x^{2}\) - 3x + 2) = (8\(x^{2}\) - 5\(x^{2}\)) + (2x + 3x) + (-6 - 2)

Simplifying further, we get:

= 3\(x^{2}\) + 5x - 8

Therefore, the expression that has the same value as the given expression is option d) 3\(x^{2}\) + 5x - 8.

To check our answer, we can substitute a value of x in the original expression and the simplified expression and compare the results. For example, if we substitute x = 2, we get:

8 \((2)^{2}\) + 2(2) - 6 - (5 \((2)^{2}\) - 3(2) + 2) = 8(4) + 4 - 6 - (5(4) - 6 + 2) = 32 - 5(4) = 12

And,

3 \((2)^{2}\) + 5(2) - 8 = 3(4) + 10 - 8 = 12

As both results are the same, we can confirm that our answer is correct.

Correct Question :

Which expression has the same value as the expression 8\(x^{2}\) + 2x - 6) - (5\(x^{2}\) - 3x + 2)?

a) 13\(x^{2}\) - 5x - 4

b) 13\(x^{2}\) - x - 8

c) 3\(x^{2}\) - x - 4

d) 3\(x^{2}\) + 5x - 8

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Answer: 0.01090566037

Answer: The short answer to this is 0.0109

Using implicit differentiation dz/dt = -34

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 8, and dy/dt = 9, we need to find dz/dt when (x, y, z) = (2, 2, 1).

So, differentiating implicitly and also applying the chain rule, we have that

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

Making dz/dt subject of the formula, we have that

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 8  + 2 × 9)/1

= -(16 + 18)/1

= - 34

So, dz/dt = -34

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The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).

According to the question The rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

Let's denote the distance between the police car and the red car as \($d$\), and let \($t$\) represent time. We are given that the distance between the two cars is decreasing at a rate of 75 feet per second, so we can express this

as \($\frac{dd}{dt} = -75$\) ft/s.

Using the Pythagorean theorem, we can relate the distances \($d$, $x$\), and \($y$\), where \($x$\) is the distance traveled by the red car along the highway and \($y$\) is the distance traveled by the red car along the small road. We have \($x^2 + y^2 = d^2$\).

Differentiating both sides of the equation with respect to time \($t$\), we get \($2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2d\frac{dd}{dt}$\).

Since the police car is located 60 feet on the small road perpendicular to the highway, we have \($x = t$\) and \($y = 60$\) . Substituting these values and the given rate of change of \($d$\) , we can solve for  \($\frac{dx}{dt}$\) :

\($2t\frac{dx}{dt} + 2(60)\frac{dy}{dt} = 2(90)(-75)$\)

\($2t\frac{dx}{dt} = -2(90)(-75) - 2(60)\frac{dy}{dt}$\)

\($2t\frac{dx}{dt} = 2(90)(75) - 2(60)(0)$\)

\($2t\frac{dx}{dt} = 2(90)(75)$\)

\($t\frac{dx}{dt} = (90)(75)$\)

\($\frac{dx}{dt} = \frac{(90)(75)}{t}$\)

Therefore, the rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

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Answer:

A a pair of intersecting lines

Step-by-step explanation:

i got it right on the test bub

Answer: a pair of intersecting lines

Step-by-step explanation: i had many people help me know this is right

On solving the provided question, w can say that - by distance here we can say that the distance are    \(d = sqrt ((20 - 80)^2 + (60 - 20)^2) = 72.11 = > d = sqrt ((110 - 20)^2 + (85 - 60)^2) = 93.41\)

Distance is a quantitative and occasionally qualitative indicator of how far away two objects or points are. Distance in physics or common use can refer to estimates based on physical length or other factors. formula for determining distance. a formula in algebra that uses coordinates to represent the distance between two places (see Coordinate Systems). The Cartesian point distance formula is based on the Pythagorean theorem in both 2-D and 3-D Euclidean space.

The distance formula given two points is,

\(d = sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2)\\ d = sqrt ((12 - 0)^2 + (3 - 5)^2) = 12.17\)                        

now to calculate the distance

\(d = sqrt ((20 - 80)^2 + (60 - 20)^2) = 72.11\\ d = sqrt ((110 - 20)^2 + (85 - 60)^2) = 93.41\)

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Answer:

71.0

Step-by-step explanation:

Answer:

558 weeks

Step-by-step explanation:

let x = number of weeks

this equation can be derived from the question

2 + 1x = 560

collect like terms

x = 560 - 2

x = 558

Using the distance, time, and speed formulas, Nicholas could only achieve the distances listed in the given times for:

The distance, time, and speed formulas show that:

Constant driving rate (Speed) = 55 mph

Distance       Time        Speed
165 miles     3 hours    55 mph (165/3)

240 miles   4 hours     60 mph (240/4)

330 miles   6 hours     55 mph (330/6)

504 miles   9 hours     56 mph (504/9)

Thus, using the distance, time, and speed formulas, we can conclude that Nicholas could not achieve the distances in B and D but only in A and C.

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Answer: look at the images for the answer and the solution

Step-by-step explanation:

For the population variance the confidence interval of 95% with standard deviation s = 17 is equal to (176.22, 559.35).

Sample standard deviation s = 17

sample size 'n' = 25

population variance=  o2

To construct a confidence interval for the population variance,

Use the chi-square distribution,

The formula for the confidence interval is,

((n-1) × s^2)/chi2(a/2, n-1) ≤ o^2 ≤ ((n-1) × s^2)/chi2(1-a/2, n-1)

where chi-square(a/2, n-1) and chi-square(1-a/2, n-1) are the chi-square values for the given significance level a and degrees of freedom (n-1).

Substituting the given values, we get,

((25-1) × 17^2)/chi2(0.025, 24) ≤ o^2 ≤ ((25-1) × 17^2)/chi2(0.975, 24)

Calculating the chi-square values using a chi-square distribution attached table ,we get,

((24) × 17^2)/39.36 ≤ o^2 ≤ ((24) ×17^2)/12.40

Simplifying the expressions, we get,

176.22  ≤ o^2 ≤ 559.35

Therefore, the 95% confidence interval for the population variance is (176.22, 559.35).

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The given question is incomplete, I answer the question in general according to my knowledge:

Construct a 95% confidence interval for the population variance o2 if a sample of size 25 has standard deviation s = 17. Round the answers to two decimal places. The 95% confidence interval

The equation to model the number of ants, A, Ravi will still have after h hours is: A = 25,000 * (1 - 0.356)^h. This equation represents the initial number of ants, 25,000, multiplied by the decay factor, (1 - 0.356), raised to the power of h, the number of hours that have passed.

To find out how many ants Ravi still has after 3 hours, we can plug in h = 3 into the equation: A = 25,000 * (1 - 0.356)^3 = 25,000 * 0.644^3 = 10,563.91. Round to the nearest ant, Ravi still has 10,564 ants after 3 hours.

To find out how long it will take until all of Ravi's ants are gone, we can set A = 0 and solve for h: 0 = 25,000 * (1 - 0.356)^h. Taking the natural log of both sides and rearranging gives us: ln(0/25,000) = h * ln(1 - 0.356), or h = ln(0/25,000)/ln(1 - 0.356). However, since the natural log of 0 is undefined, we cannot find an exact value for h. This means that it will take an infinitely long time for all of Ravi's ants to be gone.

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A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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Answer:

X= 5i-2, x=5i-2

Step-by-step explanation:

Step-by-step explanation:

\( {x}^{2} - 4x + 29 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{4± \sqrt{ - 100} }{2} \\ x = \frac{4±10i}{2} \\ x = 2±5i \\ x = 2 + 5i \: \: or \: \: x = 2 - 5i\)

As per the data, it is inferred that 65 of 100 students at a university prefer Brand B. Therefore, the parameter of interest is proportion, p = 0.65.

The goals and objectives of the investigation, the accessibility of the subgroup, and the scope of the budget are only a few of the variables that can affect a researcher's decision over a population of interest. The most crucial element, regardless of these variables, is that you arrive at a population of interest with adequate information and conclusions for your research.

The parameter of interest sometimes referred to as the population parameter of interest, is a statistical variable that provides further details about the research sample or population under study. These variables, in other words, define and describe a specific research population.

Here, 65 of 100 people favor brand B.

Therefore, the relevant parameter here is the proportion, p = 0.65.

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The expected value of an unbiased estimator is equal to the parameter whose value is being estimated. This is FALSE statement.

Because, An unbiased estimator's anticipated value is the same as the parameter whose value is being calculated.

The acquisition, organization, measurement, explanation, and display of data are all covered by figures. A data object is a feature (or characteristic) data that would be measured or tallied, such as peak, origin nation, salary, etc. Data can also be referred to this as variables due to their ability to differ from one another and they may vary over time.

Statistics is a method of interpreting, analyzing and summarising the data. Hence, the types of statistics are categorized based on these features: Descriptive and inferential statistics. Based on the representation of data such as using pie charts, bar graphs, or tables, we analyse and interpret it.

If the disparity between the estimator and the parameter decreases with increasing sample size, the estimator is said to be consistent.

Real as An unbiased estimator's anticipated value is the same as the parameter whose value is being calculated.

The given statement is FALSE

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Rounded to the nearest hundredth, the volume of empty space is approximately 6651.72 cm³

Diameter is a straight line passing through the center of a circle or a sphere, and connecting two points on the circumference or surface respectively.

The diameter of each ball is 14 centimeters, so the height of the cylindrical container must be at least 42 centimeters in order to stack three balls inside. Let's assume that the height of the container is exactly 42 centimeters.

The three tennis balls weigh a combined amount of:

3 × (4/3)πr³ = 3 × (4/3)π(7 cm)³ ≈ 1436.76 cm³

The volume of the cylindrical container is:

πr²h = π(7 cm)²(42 cm) ≈ 8088.48 cm³

So the volume of the empty space left inside the container is:

8088.48 cm³ - 1436.76 cm³ ≈ 6651.72 cm³

Rounded to the nearest hundredth, the volume of empty space is approximately 6651.72 cm³.

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The greatest possible straight-line distance between any two points on the rectangular  box is approximately 15 inches.

To find the greatest possible straight-line distance between any two points on the rectangular box, we need to use the Pythagorean theorem.
First, we can find the diagonal of the base of the box by using the Pythagorean theorem:
a² + b² = c²
Where a and b are the length and width of the base of the box, and c is the diagonal.
Substituting the given measurements, we get:
10² + 10² = c²
100 + 100 = c²
200 = c²
c ≈ 14.14
Now, we can find the diagonal of the box itself by using the Pythagorean theorem again:
a² + b² + c² = d²
Where a, b, and c are the length, width, and height of the box, and d is the diagonal.
Substituting the given measurements, we get:
10² + 10² + 5² = d²
100 + 100 + 25 = d²
225 = d²
d ≈ 15
Therefore, the greatest possible straight-line distance between any two points on the box is approximately 15 inches.

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Answer:

Approximately 11.1666666667 rows

Step-by-step explanation:

134/12= 11.1666666667

Answer:

  12 rows

Step-by-step explanation:

  (134 students) / (12 students/row) = 11 2/12 rows

The 6th-graders will need 12 rows of seats. The last row will not be filled.

If the car goes to the top of spike's peak and back, the mileage of the car is 16 miles per gallon

The mileage of car in uphill = 12 miles per gallon

The mileage of car in downhill = 24  miles per gallon

The total distance traveled in up hill = 48 miles

The number of gallon of gas used = 48/12

= 4 gallon

The total distance traveled in down hill = 48 miles

The number of gallon of gas used = 48 / 24

= 2 gallon

Total distance traveled = 48 + 48

= 96 miles

Total number of gallons of gas = 4 + 2

= 6 gallon

The mileage = Total distance / The number of gallon

= 96 / 6

= 16 miles per gallon

Therefore, the mileage of the car is 16 miles per gallon

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