Please find out the slope and the y-intercept and put it in the y=mx+b

Answer:

[tex]\frac{8}{b^{30} }[/tex]

Step-by-step explanation:

Start within the parentheses

1. Divide coefficients

6/3 = 2

2. Divide variables

When dividing exponents with the same base, in this case b, you subtract.

b^20 - b^30 = b^-10

3. Exponent outside parentheses

When there's an exponent on an exponent, you multiply the exponents.

(2b^-10)^3

8 b^-30

4. Simplify?

This step isn't necessary, but when you have a negative exponent on a variable, the variable can be put in the denominator with a positive exponent.

8b^-30 can become 8/b^30

We conclude that there is zero (0) fraction of coal left in the bag with Tom.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The numerator of a proper fraction is less than the denominator.

So, a fraction of coal left in the bag:

After 1 week the was 2/3 full. So, we have:

1 - 2/3 = 1/3

Next week, he used the remaining 1/3 coal. Now, we have:

1/3 - 1/3 = 0/0

Therefore, we conclude that there is zero (0) fraction of coal left in the bag with Tom.

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Correct question:
Tom bought a bag full of coal. After one week the bag was 2/3 full. During the next week, he used 1/3 of the remaining coal. What fraction was left in the bag?

Answer:

$5.25 = 525 cents

525/7=75

each bottle is 75 cents or $0.75

Using triple integrals we know that the solid in question has a volume of 1024/3³ units.

Multiple integrals in mathematics is a definite integrals of a function with many real variables, such as for f.

The area of a region enclosed by the function's curve is calculated using the double integral.

It can also be used to figure out how much space is beneath the surface.

The double integral can also be used to calculate the average value of a function with two variables over the rectangular region.

So, the volume of the solid (V) in this problem must be calculated using the triple integral formula in rectangular coordinates:

[tex]V=\iiint d y d x d z[/tex] ...(1)

The following intervals impose restrictions on the solid:

[tex]y \in\left[x^2, 16\right], x \in[-4,4], z \in[0,4][/tex]

The triple integral is currently explained as follows:

[tex]$$V=\int_0^4 \int_{-4}^4 \int_{x^2}^{16} d y d x d z$$\\[/tex]

Now we integrate three times to get the volume:

[tex]\\\begin{aligned}& V=\int_0^4 \int_{-4}^4\left(16-x^2\right) d x d z \\& V=\left.\int_0^4\left(16 \cdot x-\frac{x^3}{3}\right)\right|_{-4} ^4 d z \\& V=\frac{256}{3} \int_0^4 d z=\frac{1024}{3}\end{aligned}$$[/tex]

Therefore, using triple integrals we know that the solid in question has a volume of 1024/3³ units.

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Complete question:

Use a triple integral to find the volume of the given solid. The solid is bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.

Suppose if 55 students in the class’s sample say Yes so, there is not sufficient evidence that more than half of the school student recycle.

and Suppose 63 students in the class’s sample say Yes so, there is sufficient evidence that more than half or majority school student recycle.

A.)

According to given data Suppose 55 students in the class’s sample.

n = 100 and x = 55

⇒ p = [tex]\frac{55}{100}[/tex] = 0.55

hence p' = 0.50

so, p > 0.50

Z = [tex]\frac{p-p'}{\sqrt{} \frac{p'(1-p')}{n} }[/tex]

Z = [tex]\frac{0.55-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex]

so, Z = 1

let level of significance α = 0.05

critical Z value at α = 0.05 for one tail test is 1.645

since Z = 1 < z' = 1.645

do not reject at α = 0.05

there is not sufficient evidence that more than half of the school student recycle.

B.)

According to given data Suppose 63 students in the class’s

given data,

X = 63 and n = 100

now P = 63/100 = 0.63

Z = [tex]\frac{0.63-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex] = 2.6

since, Z = 2.6 > Z' = 1.645

⇒ reject at  α = 0.05

there is sufficient evidence that more than half or majority school student recycle.

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Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is much larger than one.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

Firstly, it is important to clarify that when people say ‘‘The Sun Will Rise Tomorrow’ they are implying only how It only appears to an observer on earth that the sun rises and sets. In reality the sun neither rises nor sets it only appears to do so because the earth takes one day (24 hours to rotate on its axis). It has appeared to do this for as long as the earth has existed (approx. 4.5 billion years). Although for the purpose of this short reflection, the idiom will signify part of the day-night process -being able to see the sun rise from the perspective of a human on earth.

Although the chances might be extremely high, they are not certain. Even thought it may be very improbably unless an infinite amount of days in which the sun has risen has occurred, the probability will not exactly be one. Ludwig Wittgenstein, Austrian-British philosopher who worked primarily in logic and philosophy of mathematics, said, “It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.” Although we may reasonably argue that the earth while rise tomorrow to a 99.99999999% chance, there still is that 0.000000001 which states that it would not in fact rise.

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Answer:

0.83 laps per minute

Answer: 0.83 laps per minute.

Step-by-step explanation:

While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories

(2): 110 calories

(3): 101 calories

(4): 250 calories

808/8 = 101 per hour

60 minutes = 1 hour so:

101 * 1 = 101

Answer:

We'll assume that the kitchen appliance (either an oven or a refrigerator) are actually the same, so I'll call it an oven.

The sales tax on an oven priced at 6% is $40.52

Step-by-step explanation:

($675.40)*(0.06) = $40.524, rounded to $40.52

The value of the test statistic using correlation coefficient and sample size is equal to 8.776 ( round up to 3 decimal places.)

As given in the question,

Sample size 'n' = 26

Correlation coefficient 'r' = 0.87

Significance level 'α' = 0.025

a. Decision rule for the system of hypothesis are:

Null hypothesis :  H₀ : ρ ≤0

Alternative hypothesis:  H₁ : ρ > 0

Value of the test statistic 't'

= r√n-2 / √1 - r²

= (0.87√ 26 - 2) / √1- 0.87²

= 4.3 / √0.2431

= 4.3 / 0.49

= 8.776

Therefore, value of the test statistic using the given values is equal to 8.776.

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yess it is true because of unbiased estimator

what is variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean when the data are more dispersed

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The zeros of the given function are x= -1/6, x=1 and x= 4

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Divide the polynomial  [tex]6x^3-29x^2+19x+4[/tex]by the factor (x-4) using long division method to find other 2 factors:

x-4)    [tex]6x^3-29x^2+19x+4[/tex]                ( [tex]6x^2-5x-1[/tex]

         [tex]6x^3-24x^2[/tex]

______________________

                 [tex]-5x^2+19x+4[/tex]

                 [tex]-5x^2+20x[/tex]

__________________________

                             [tex]-x+4[/tex]

                             [tex]-x+4[/tex]

__________________________

                                  0

Factors of  [tex]6x^2-5x-1[/tex] are (6x+1)(x-1)

Find zeros by equating 3 factors to zero:

(6x+1)(x-1) ( x-4) = 0

=> (6x+1)=0,  (x-1) =0 , ( x-4)  =0

=> x= -1/6, x=1 and x= 4

Thus, the zeros of the given function are x= -1/6, x=1 and x= 4

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The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y² = x - 5                   ...1

x² + y² = 49              ...2

From equations 1 and 2, then we have

x² + x - 5 = 49

x² + x - 54 = 0

Use the formula method to calculate the value of 'x'. Then we have

x = [- 1 ± √(1² - 4 · 1 · -54)] / 2

x = [- 1 ± √(1 + 216)] / 2

x = (- 1 ± 14.7309) / 2

x = (- 1 - 14.7309) / 2, (- 1 + 14.7309) / 2

x = -7.865, 6.865

Then the value of the variable 'y' is given as,

y² = x - 5

y² = 6.865 - 5

y² = 1.865

y = ± 1.366

The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366). And the graph is given below.

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It will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

Given, Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week.

So, he made a down payment of 10% of $600 i.e. $60

remaining amount to pay be,

600 - 60 = 540

Let he will take x weeks to pay the remaining amount.

Now, if he pay $65 per week

then, 65x = 540

x = 540/65

x = 8.31

So, it will take approx. 8 - 9 weeks to completely pay the remaining amount after the down payment.

Hence, it will take approx. 8.3 weeks to completely pay the remaining amount after the down payment.

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Answer:

9 weeks

Step by step explanation:

It’s right.

Answer:

Slope is 4

Step-by-step explanation:

Easy! Just take the first four points on the table. So, (0,6) and (1,10). Then plug those points into y₂ - y₁ over x₂ - x₁ and you'll get your final answer.

After solving the equation the value obtained for x will be equal to 5.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The equation of the line passing through the given coordinates will be,

m = (y2 - y1)/(x2 - x1)

The given points are (7, 1) and (4, 8)

Then,

(8 - 1)/(4 - 7) = -7/3

Slope of the line passing through the points (2, x) and (x, -2) then,

(-2 - x)/(x - 2)

Now, we have -7/3 = [tex]-\frac{2+x}{x-2}[/tex]

7x - 14 = 6 + 3x

4x = 20

x = 5

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Answer:

ok you deleted my other answer

Step-by-step explanation:

im just finishing this challenge and you are the last question i need to answer

There are therefore 609638400 different ways to arrange eight men and five women in a line so that no two women are positioned adjacent to one another.

The basic counting principle is a method for keeping track of all the potential outcomes in a situation. It states that there are n*m ways to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that.

Here,

Number of ways men can stand,

=8!

=40320 ways

Number of ways women are standing,

=9P5

As shown in the image,

=15120 ways

For arranging both of them,

=40320*15120

=609638400 ways

So there is 609638400 ways of arranging eight men and five women to stand in a line so that no two women stand right next to each other.

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After translating sentence in to inequality we get x > 7*y.

Let us suppose two variables are x and y.

First let's understand what inequality means?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal symbol ≠" to indicate that two values are not equal. But various inequalities are used to compare the values and determine whether they are less than or greater than.

Assume x as grams of saturated fat.

Assume y as grams of unsaturated fat.

Given as grams of saturated fat is more than seven times

grams of unsaturated fat.

[tex]x > 7*y[/tex].

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the volume of the region bounded by y = 2x²  is 4π/5unit³

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of a combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of volume of the individual solids.

Given, region y = 2x²

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

So V = 4π (1/5)

V =  4π/5unit³

Hence, the volume of the solid is 4π/5unit³

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If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

How do you tell if a system of equations has no solution algebraically?

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

What does a system look like if it has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

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In a natural deduction problem, if your conclusion is a conditional statement that does not appear in any of the premises, then it is not a valid argument.

Natural deduction is a process/theory that we use to derive the conclusion of any argument from the premises by using the rules of inference. Now, as the definition itself has established, in natural deduction problems we solve arguments from the premise. But in the argument, we have been told that the conclusion isn't from the premises.

Any argument or conclusion becomes valid if the premise is valid as well. This means that if the conclusion is not in the premise, then it is not valid.

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The most appropriate statistical test/analysis for Sean who wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between 3 store locations would be the T-test.

A T-test is a statistical test which compares the means of two samples. It is used in hypothesis testing, with a null hypothesis which the difference in group means is zero and an alternate hypothesis which the difference in group means is different from zero.

The choice of T-test depends on whether we are studying one group or two groups, and whether we care about the direction of the difference in group means.

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Answer:

-------------------------

Pretty sure this is the answer:

C. slope intercept form

By conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.

We can recall the PEMDAS steps in the following order: parentheses, exponents, multiplication, and division (from Left to right), addition, and subtraction (from left to right).

So, we know that:

Jow eats 4/5 of the pizza.

Jane eats 1/4 of the pizza.

Times Joe eats more pizza than Jane:

4/5 - 1/4

4(4) - 5(1)/20

16 - 5/20

11/20

Therefore, by conducting simple mathematical operations, we know that Joe eats 11/20 times more pizza than Jane.

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The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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This is probably the answer =2x4−x3−6x2−x−1/x

The statistical techniques of analysis of variance (ANOVA) and analysis of covariance (ANCOVA) are used to test the validity of the hypothesis regarding the comparison of group mean values.

The term "parametric approach" refers to a statistical technique used to compare the means of two normally distributed continuous variables.

In contrast to ANOVA, which is used to compare the means among three or more groups, the Student's t test (also known as the T test) is used to compare the means between two groups.An ANOVA test with a significant P value identifies at least one pair in which the mean difference was statistically significant.

The post-hoc test (multiple comparisons) is utilized to determine whether pair(s) are significant. When at least one covariate (continuous variable) in an ANOVA test is altered to eliminate confounding variables from the outcome, the procedure is known as an ANCOVA. Because inferences about means are made by analyzing variance, the ANOVA test (F test) is referred to as "Analysis of Variance" rather than "Analysis of Means."

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Answer:

  22√3 inches

Step-by-step explanation:

You want to know the length of the longer leg of a 30°-60°-90° triangle when the hypotenuse is 44 inches.

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

This means the longer leg is (√3)/2 times the length of the hypotenuse.

In the given triangle, the longer leg is ...

  (44 in)(√3)/2 = 22√3 in