Determine the value of the variables when simplifying and evaluating the expression (302)0 .

What is the value of m in the simplified power?
(302)0= 30m
m =


What is the value of (302)0?

(302)0 =

Answer:

equal to rolling an odd number

Step-by-step explanation:

fair number cube is your average 6 side die

even numbers = 2,4,6

odd numbers = 1,3,5

total sides=6

even number probability = 3/6

odd number probability = 3/6

Answer:

1 and 3

Step-by-step explanation:

The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry

The line of symmetry for the given figure is 1 and 3.

We need to find the line of symmetry for the given figure.

Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.

In the given figure we can see line 1 and 3 divides the figure into two halves.

Therefore, the line of symmetry for the given figure is 1 and 3.

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Answer:

B

Step-by-step explanation:

got it right on edge

The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

Given:

f(x) = x² – 2x

We can find the inverse function by solving for y:

x = f(y)

x = y² -2y

x +1 = y² -2y +1

x +1 = (y -1)²

√(x +1) = y -1

1 +√(x +1) = y

So, the inverse function is

\(f^{-1}\)(x) =   1 +√(x +1)

Thus, the minimum value of x for which the original function has this as an inverse is 1.

So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

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Below is the answer

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Answer:

1/2

Step-by-step explanation:

The length of a segment is the number of units between its endpoints

The length of YZ is 45 units

The given parameters are:

WX = 11x + 1

YZ = 19x - 31

Lengths WX and YZ are congruent.

So, we have:

\(19x - 31 = 11x +1\)

Collect like terms

\(19x - 11x = 31 +1\)

Evaluate the like terms

\(8x = 32\)

Divide both sides by 32

\(x = 4\)

Recall that:

YZ = 19x - 31

So, we have:

\(YZ = 19*4- 31\)

\(YZ = 45\)

Hence, the length of YZ is 45 units

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Answer:

7

Step-by-step explanation:

Here, we want to get the degree of the polynomial

Mathematically, the degree is the power to which the highest power in the polynomial is raised

looking at the polynomial, we can see that the highest power here is raised to the power of 7

that means that the polynomial is of degree 7

The percentage of children that were at the party is 15%.

The number of people in the party is 60 people.

The number of adult in the party is 51 adults.

percentage is a ratio that can be expressed as a fraction of 100.

85% of the people at the family party are adult.

Therefore,

let

x = total number of people at the party

The party has only adult and children.

number of children = 9

a.

percentage of children in the party = 100% - 85% = 15%

b.

Let's find the total number in the party using the number of children

15 / 100 × x = 9

15x / 100 = 9

cross multiply

900 = 15x

x = 900 / 15

x = 60

c.

Let's find the number of adult in the party

number of adult in the party = 60 - 9 = 51 adults

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Answer:

25.13 (to 2 d.p)

Step-by-step explanation:

Use the formula:

Length of arc = (angle/360) X 2πr

where: angle = 180 and r = 16÷2 = 8

The distance from the vertex to the focus is :

8 feet

The spotlight has a parabolic cross-section with an opening width of 4 ft and a depth of 2 ft at the vertex. To find the distance from the vertex to the focus, we can use the equation for a parabola in the form y = (1/4f)x^2, where f is the distance to the focus.

Since the parabola is 4 ft wide at the opening, the value of x is 2 ft (half of the width). The depth at the vertex, which is the value of y, is 2 ft. Substituting these values into the equation, we get:

2 = (1/4f)(2^2)

2 = (1/4f)(4)

Now, we solve for f:

8 = f

So, the focus is 8 ft away from the vertex.

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Answer:

\(\sqrt{84^{2} } -37^{2} /47\)=257 9/47

Step-by-step explanation:

Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .

Slope is the rate of change in the dependent variable with respect to the independent variable.

For an equation of line of the type - y= mx +c , the slope is given by the m value.

Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.

Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values,  the lines have a flatter slope and do not have a steep nature.

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To get the total number of different ways, multiply 1,536 x 18 = 7,344.

7,344 different ways. Raven has 19 choices for drinks, 12 choices for appetizers, and 8 choices for desserts. The formula for calculating the number of different ways is 19 x 12 x 8 = 1,536. Since Raven needs to pick 3 drinks, 3 appetizers, and 2 desserts, the formula is 3 x 3 x 2 = 18. To get the total number of different ways, multiply 1,536 x 18 = 7,344.

The formula can be used to calculate the number of different ways to combine any number of choices. For example, if Raven had 24 choices for drinks, 15 choices for appetizers, and 7 choices for desserts, the formula would become 24 x 15 x 7 = 3,240. If Raven still had to pick 3 drinks, 3 appetizers, and 2 desserts, the total would be 3 x 3 x 2 = 18. Multiplying 3,240 x 18 = 57,720 different ways.

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Answer:84.84m^2

Edit: I redid it doing the base separate and got 84.847 because Pythagorean theorem tells you the sides of the three triangles are 6.998 which is ever so slightly smaller than the base triangle.

Step-by-step explanation:

This is assuming the triangles are equal. 1/2bh gives you 21.21 for the triangle with the given height and then multiplying that by four for all the sides gives you 84.84m^2. The question doesn’t specify what type of pyramid it is so again I’m assuming it’s equal. Not 100% positive hope it can help at all.

To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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Answer:

q

Step-by-step explanation:

For a 30-degree angle, the sine (sin) is approximately 0.5, the cosine (cos) is approximately 0.866, and the ratio sinθ/cosθ is approximately 0.577. These values represent the trigonometric functions of the given angle.

The sine (sin) and cosine (cos) functions represent the ratio of the lengths of the sides of a right triangle. For a 30-degree angle in a right triangle, the sides are in the ratio 1:√3:2. Using this information, we can find the sine and cosine values.

sin(30 degrees) ≈ 0.5

cos(30 degrees) ≈ 0.866

Now, we can calculate the ratio sinθ/cosθ:

sinθ/cosθ = (0.5)/(0.866)

Dividing these values, we get:

sinθ/cosθ ≈ 0.577

Rounded to the nearest thousandth, the ratio sinθ/cosθ for a 30-degree angle is approximately 0.577.

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a. The mean is 26.5, and the standard deviation is 1.154, b. The null hypothesis (H₀) and alternative would state that mean is greater , c- critical value approach is 2.997.

In the above problem given ,

Data: 28, 27, 25, 26, 28, 26, 29, 25

a. Mean:

Mean = (28 + 27 + 25 + 26 + 28 + 26 + 29 + 25) / 8 = 26.5 thousand miles

Standard Deviation:

Calculate the deviation of each value from the mean:

(28 - 26.5), (27 - 26.5), (25 - 26.5), (26 - 26.5), (28 - 26.5), (26 - 26.5), (29 - 26.5), (25 - 26.5)

Calculate the squared deviation of each value:

(28 - 26.5)², (27 - 26.5)², (25 - 26.5)², (26 - 26.5)², (28 - 26.5)², (26 - 26.5)², (29 - 26.5)², (25 - 26.5)²

Calculate the sum of squared deviations:

Sum = (28 - 26.5)² + (27 - 26.5)² + (25 - 26.5)² + (26 - 26.5)² + (28 - 26.5)² + (26 - 26.5)² + (29 - 26.5)² + (25 - 26.5)²

Divide the sum of squared deviations by (n-1), where n is the sample size:

Standard Deviation = √(Sum / (n-1)) = 1.154.

b. Null Hypothesis (H₀): The mean life expectancy of the new tires is 26,000 miles.

Alternative Hypothesis (H₁): The mean life expectancy of the new tires is greater than 26,000 miles.

c. Critical Value Approach:

With a sample size of 8, degrees of freedom (df) = n - 1 = 8 - 1 = 7. From the t-distribution table at a significance level of 0.01 and df = 7, the critical value is approximately 2.997.

Calculate the test statistic t:

t = (Sample Mean - Population Mean) / (Standard Deviation / √n)

d. P-value Approach:

To repeat the test using the p-value approach, we calculate the p-value associated with the test statistic. If the p-value is less than the significance level (0.01), we reject the null hypothesis.

Calculate the t-value using the same formula as in c.

Calculate the p-value using the t-distribution with (n-1) degrees of freedom.

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Answer:

Well, Your best choice is y=1/4x+ 1

Sorry, I don't have a explanation. Hope This Helps!!~

For a lower tail test, the p-value is the probability of obtaining a value for the test statistic at least as small as that provided by the sample

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

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Answer:

not sure but is it 37.5 ml?

Step-by-step explanation:

or just

improper fraction:75/2

mixed number: 37 1/2

percent 37.5

To return an int with every 4th bit set to 1, we use a binary number that has all its 4th bits set to 1s and 0s everywhere else.

This can be done by creating a hex number where each hex digit has the MSB = 1 and all other bits as 0.

In this case, we are to set every 4th bit to 1 and return the integer. We will use a hex number to represent the binary representation of the integer. We can create a hex number where each hex digit has the MSB=1 and all other bits as 0 since the legal ops allow us to perform bitwise manipulation operations.

Here is how we can solve the problem: int fourth Bits(void){ return 0xAAAAAAAA; }

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The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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\(\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}\)

After 5 hours, the northbound train is

(30 mph) (5 h) = 150 mi

north of the station, while the eastbound train is

(40 mph) (5 h) = 200 mi

east of the station.

The distance between the trains is the length of the hypotenuse in the right triangle formed by the trains' paths. By the Pythagorean theorem, this distance is

\(\sqrt{(150\,\mathrm{mi})^2 + (200\,\mathrm{mi})^2} = \sqrt{62,500\,\mathrm{mi}^2} = \boxed{250\,\rm mi}\)

Answer: The answer is AC.

Step-by-step explanation:

Think of only the end points. Imagine that the B is not there. If the B is not there, you are left with AC. I hope this helps!! :)