If there were eight equal pieces and seven of them were gone how many would there be in angle measurement

The equation can be rewritten as: \(ax^4 = (log(6))(2^4)\)

Therefore, \(a = log(6) \ and\ x=2\)

A logarithm is a mathematical function that describes the relationship between a number and its exponent. It is the inverse operation of exponentiation. Logarithms are typically written as log base b, where b is the base of the logarithm and is a positive number.

The logarithm of a number x to base b is denoted as \(logb(x)\) and it is the exponent to which we need to raise the base b in order to get the number x.

For example, if we are given \(log10(100) = 2\), this means that \(10^2 = 100\).

The equation \(6^x * 6 * 6\) can be rewritten as \(6^x * 6^2\).

To convert 6^x to ax form, we need to take the logarithm of both sides of the equation:

\(log(6^x) = log(6^2)\)

And we can simplify the equation as:

\(xlog(6) = 2log(6)\)

So, the value of a is log(6) and the value of x is 2.

Therefore, the equation can be rewritten as:

\(ax^4 = (log(6))(2^4)\)

Therefore, \(a = log(6)\ and\ x=2\)

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The radius of the circular pattern is approximately 16 feet. This means that the water sprinkler can spread water up to 16 feet away from the sprinkler.It's important to note that this calculation assumes that the sprinkler sprays water in a perfectly circular pattern, and that the ground is level and flat.

To find the distance that a water sprinkler can spread water, we need to determine the radius of the circular pattern. We know that the area formed by the watering pattern is 803.84 square feet, and we can use this information to find the radius.

The formula for the area of a circle is:

Area = pi * r^2

where pi is the mathematical constant (approximately 3.14) and r is the radius of the circle.Rearranging this formula to solve for the radius, we get:

r = sqrt(Area / pi)

Substituting the given values, we get:

r = sqrt(803.84 / 3.14)

≈ 16.

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diameter=15m

Answer:

Solution given:

diameter [d]=?

Volume of hemisphere=2/3*πr³

896m³=2/3*πr³

r³=896*3/2π

r=\(\sqrt[3]{427.8}=7.5\)

diameter=2r=2*7.5=15m

Radius (r) = ?

Diameter (d) = ?

Volume of hemisphere = 2/3 × πr³

→ 896m³ = 2/3 × πr³

→ r³ = 896 × 3/2π

→ r = ³√427.8

→ r = 7.5

Now,

Diameter (d) = 2r

→ 2 × 7.5

→ 15m is the required answer.

Answer:  b

Step-by-step explanation:

I think

We fail to reject the null hypothesis that the temperature level has no effect on the mean yield process.

Summary of Result:

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

To construct an analysis of variance (ANOVA) table and test whether the temperature level has an effect on the mean yield process, we need to perform the following steps:

Step 1: Calculate the total sum of squares (SST), the treatment sum of squares (SSTR), and the error sum of squares (SSE).

SST = ΣΣ(yij - ȳ)^2 = 359.2

where yij is the yield of the ith batch at the jth temperature level and ȳ is the overall mean yield.

SSTR = Σ(nj(ȳj - ȳ)^2) = 118.2

where nj is the number of batches produced at the jth temperature level, ȳj is the mean yield at the jth temperature level, and ȳ is the overall mean yield.

SSE = SST - SSTR = 241.0

Step 2: Calculate the degrees of freedom (df) for SST, SSTR, and SSE.

df(Total) = N - 1 = 14

where N is the total number of observations.

df(Treatment) = k - 1 = 2

where k is the number of treatment levels.

df(Error) = df(Total) - df(Treatment) = 12

Step 3: Calculate the mean square (MS) for SSTR and SSE.

MS(Treatment) = SSTR / df(Treatment) = 59.1

MS(Error) = SSE / df(Error) = 20.1

Step 4: Calculate the F-statistic.

F = MS(Treatment) / MS(Error) = 2.94

Step 5: Determine the critical value of F for a 0.05 level of significance with df(Treatment) = 2 and df(Error) = 12.

From a table of F-distributions, the critical value of F is 3.89.

Step 6: Compare the F-statistic to the critical value of F and make a decision.

Since 2.94 < 3.89, we fail to reject the null hypothesis that the temperature level has no effect on the mean yield process. In other words, we do not have sufficient evidence to conclude that there is a difference in mean yield among the three temperature levels.

Step 7: Summarize the results in an ANOVA table.

Source | SS | df | MS | F | p-value

Treatment | 118.2 | 2 | 59.1 | 2.94 | 0.095

Error | 241.0 | 12 | 20.1 | |

Total | 359.2 | 14 | | |

Note: The p-value is calculated as P(F > 2.94) = 0.095, which is greater than the significance level of 0.05. Therefore, we do not reject the null hypothesis.

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Assume that p(x) represents the density function for American men's heights in inches and that p(69) = 0.18. Consider the implications of this mathematical statement carefully. How many men in America are between 68.9 and 69.1 inches tall on average? Percentage, roughly.

If p(x) is the density function for the heights of American men, then p(69) = 0.18 means that the probability density at x = 69 inches is 0.18.

We can integrate the density function over the range [68.9, 69.1] to determine the approximate percentage of American men who are between 68.9 and 69.1 inches tall:

P(68.9 ≤ x ≤ 69.1) = ∫₀.₁₃ p(x) dx ≈ 0.036

So, approximately 3.6% of American men are between 68.9 and 69.1 inches tall.

We would anticipate p(75)  p(69) if American men are on average 69 inches tall because the distribution is most likely symmetric around the mean and taper off as we move away from the mean in either direction.

P(69) = 0.5 indicates that 50% of American men have heights that are less than or equal to 69 inches if P(h) is the cumulative distribution function of p. We can use the density function and integrate over the corresponding intervals to estimate P(68.9) and P(68.8):

P(x ≤ 68.9) ≈ ∫₀.₁₃ p(x) dx ≈ 0.5 - 0.036/2 ≈ 0.482

P(x ≤ 68.8) ≈ ∫₀.₂₃ p(x) dx ≈ 0.5 - 0.036 - 0.013 ≈ 0.451

So, approximately 48.2% of American men have heights less than or equal to 68.9 inches, and approximately 45.1% have heights less than or equal to 68.8 inches.

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Answer:

\(\sqrt{40}\) or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

\(\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}\)

or 6.32

Answer:

using the pythagoras theorem

Step-by-step explanation:

\( \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3\)

Answer:

The circle with a radius of 7

Step-by-step explanation:

A circle's radius is half its diameter, so if a circle has a radius of 7, it has a diameter of 14.

Answer:

the one with the radius of 7 since it has a circumference of 43. but the one with the diameter of 10 only has a circumference of 31

hope this helps

Answer:

By adding 12x²y and 4x²y result will be a monomial.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Adding which terms to 3x²y would result in a monomial? Check all that apply.

3xy

–12x2y

2x2y2

7xy2

–10x2

4x2y

3x3

1). 3x²y + 3xy → [Binomial]

2). 3x²y - 12x²y = -9x²y → [Monomial]

3). 3x²y + 2x²y²  → [Binomial]

4). 3x²y + 7xy² → [Binomial]

5). 3x²y - 10x² → [Binomial]

6). 3x²y + 4x²y = 7x²y → [Monomial]

7). 3x²y + 3x³ → [Binomial]

Therefore, by adding 12x²y and 4x²y result will be a monomial.

Answer:

f(x) = - x + 2

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

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

f(0) = 2 means y = 0 when x = 2 and f(5) = - 3 means y = - 3 when x = 5

thus there are 2 points (2, 0 ) and (5, - 3 )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 3 )

m = \(\frac{-3-2}{5-0}\) = \(\frac{-5}{5}\) = - 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

then

f(x) = - x + 2

The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Answer:

xy=5

Step-by-step explanation:

from the question, y varies directly with x and y

Then y ∝ xy

If we introduce proportionality sign we have

y=r xy

Where r= proportionality constant

Then if we substitute the given values

y = 25 when r = 5.

We have

y=r xy

25=5xy

Divide both sides by 5

xy=25/5

xy=5

Hence, equation that models the statement is xy=5

Given the following subset phrases are neither is a subset of the other. A set whose elements are all members of another set is simply referred to as a subset.

Because U.S. citizenship can also be acquired through other means, the group of people born in the country is a subset of the group of people who are citizens of the country. The group of Java learners all belong to the group of learners of a programming language, so Because Java is simply one of the many distinct kinds of programming languages, the group of students studying Java is a subset of the group of students studying a programming language. Since fish are just one of the many different marine species that dwell in the ocean, fish are a subset of the animals that live in the ocean.

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Answer:

Yes, the are the right degrees.

Answer:

I do agree

Step-by-step explanation:

I know 10. is right because it is a right angle which id usually 90 degrees.

I'm pretty sure 11. is right because I know it is an obtuse angle and I think the number you gave is close if not it.

I know 12. is right because that angle looks the same as DBA which is already labeled 54 degrees.

I know 13.  is right because 180 degrees is always a straight line.

Hope this helps. Plz give brainliest.

Answer:

D on edge

Step-by-step explanation:

I got several quiz checks

Answer:

D) x2 + 81 = x2 + 20x + 100

Step-by-step explanation:

25% off means the new price of the item is 75% of the originl price ( 100% - 25% = 75%)

Multiply the original price by 75%:

20 x 0.75 = 15

The sale price is £15

S.P:25x/100

0.25x=20

x=20/0.25

x=80

Answer:

b

Step-by-step explanation:

Answer:

1288 times greater

Step-by-step explanation:

(8.5x10^-2)/(6.6x10^-5)

(8.5/6.6)*(10^-2/10^-5)

(1.29)*(10^3)

1288 times greater

The complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.

Data analysis can be defined as the process of cleaning, changing, and processing raw data, to relevant information that helps in the decision making of a business.

The procedure of data analysis helps in reducing the risks involved in decision-making by providing useful insights and statistics,.

Analyzed data are often presented in charts, images, tables, and graphs.

Some types of data analysis are;

Thus, the complete statement is data analysis involves creating new ways of modeling and understanding the unknown by using raw data.

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Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Answer:

To calculate the distance between each pair of points given, we can use the distance formula which is derived from the Pythagorean theorem. The formula is:

distance = square root of [(x2 - x1)^2 + (y2 - y1)^2]

Using this formula, we can calculate the following distances:

a. Distance between M and P = 13 units

b. Distance between A and B = 5 units

c. Distance between C and D = 10 units

Both c. f is continuous on the interval [-2,3], where f(-2)=0 and f(3)=20 and d. f is continuous on the interval [-2,3], where f(-2)=15 and f(3)=30 options are correct. given below is the explanation of the result.

using Intermediate value theorem:(statement: suppose that f∈c[a,b] and f(a)≠f(b) then given a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ)

know according to the Intermediate value theorem both option c and d are correct here because either f(a)<f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ) here if we take  interval [-2,3], where f(-2)=0 and f(3)=20 the theorem is applicable. if we have f(a)>f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ so if we take the interval [-2,3], where f(-2)=15 and f(3)=30,the above stated theorem is applicable.

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Answer:

Step-by-step explanation:

Correct option is A)

Answer:

The answers for both inequalities are obviously x>3 and x<=-1.

Answer:

this

Step-by-step explanation:

Answer:

The third number can be any number less than 30.

Step-by-step explanation:

If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.