Given box with
h= 2x-2 l = x + 5 w= 3x + 4 Write a polynomial that represents the volume of the box. Please use the palette below to enter your answer.

Answer:

The slope of the line, m=-80 and

The equation of the line is, \(y=-80+440\)

Step-by-step explanation:

Given that initially the hot tub is filled with 440 gallons of water.

So, at time t=0, the amount of water = 440 gallons.

Further, after 1.5 hours, the amount of water had  decreased to 320 gallons.

So, at time t=1.5 hours, the amount of water = 320 gallons.

The point (0,440) and (1.5, 320) are on the line.

So, the slope, m, of the line is

\(m=\frac{440-320}{0-1.5}=-\frac{120}{1.5}=-80\)

The equation of the line is

\(y-440=-80(x-0) \\\\\Rightarrow y-440=-80x \\\\\Rightarrow y=-80x+440\)

Hence, the slope of the line, m=-80 and the equation of the line is, \(y=-80+440\).

Answer:

KF = 35

Step-by-step explanation:

Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.

(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)

SF = SK + KF

Let's put in the values we got.

5x + 2 = 27 + (3x -1)

Opening the parenthesis.

5x + 2 = 27 + 3x - 1

5x + 2 = 26 + 3x

Now let's subtract 3x from both sides.

2x + 2 = 26

Now, subtract 2 from both sides.

2x = 24

If we divide by 2...

x = 12

We know that...

KF = 3x -1

Since x is 12, let's put that in.

KF = 3 * 12 - 1 = 36 - 1 = 35

Answer: KF is 35 !

Answer:

70/100

Step-by-step explanation:

Surface of the earth covered with water = 7/10

Equivalent fraction of 7/10 with 100 as the denominator = 70/100

This means 70% of the earth surface is covered with water

Percentage covered with land = Total percentage - percentage covered with water

= 100/100 - 70/100

= 100-70/100

= 30/100

Percentage covered with land = 30%

The given parabola has a vertex of (-2,-9), in vertex form the equation of the parabola is

Since the shaded area of the parabola is in the top part, and uses a dashed line, the inequality therefore is

The linear inequality has a slope of 1, and a y-intercept of 5, which means that its linear equation is

The same as the previous graph, since it has a shaded region in the top part and uses the dashed line, the linear inequality is

Therefore, the graph is represented by the system

In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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A function must have one y-value for any given x-value.

Usually, if you see the same x-value in the x-column more than once, that's not going to be a function, because that usuall makes a single x-value pair with more than one y-value.

This would be NOT be a function, because x-value of 3 is paired with two different y-values.

x  |  y

3    7

4    8

3    9

6    7

Can you identify the function?

The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.

The data graphed showed a positive correlation between smoking rates and lung cancer. The correlation coefficient for the data was 0.99, which is very close to 1. This indicates a strong positive correlation between smoking rates and lung cancer. The formula for calculating the correlation coefficient is r = (NΣxy - (Σx)(Σy)) / √[(NΣx2 - (Σx)2)(NΣy2 - (Σy)2] where r is the correlation coefficient, N is the number of data points, Σx is the sum of all x-values, Σy is the sum of all y-values, Σxy is the sum of the products of the x and y values, and Σx2 and Σy2 are the sums of the squares of the x and y values respectively. The calculation for the correlation coefficient for the data graphed was 0.99 which is indicative of a strong positive correlation between smoking rates and lung cancer.

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Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer:

The answer is D. 64 because after 49 it is 64 (8*8=64 and 7*7=49)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

When the formula is changed to x, the equation is x = 1/4(H - 2) - 3y

From the question, the equation is given as

H=4(x+3y)+2

Subtract 2 from both sides of the equation

So, we have the following equation

H - 2 =4(x+3y)+2 -2

Evaluate

So, we have the following equation

H - 2 =4(x+3y)

Divide by 4

So, we have the following equation

1/4(H - 2) = x +3y

Subtract 3y from both sides

x = 1/4(H - 2) - 3y

Hence, the solution for x is x = 1/4(H - 2) - 3y

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The simplified solution for the x is given as x = [H - 2]/4 - 3y.

As mentioned in the question, for an equation H=4(x+3y)+2, we have to transform the equation in the subject of x.

The operational processes in mathematics for the functions to make the function or expression.

Here,
Simplification of the given function in a manner to the transposition of the variables from left to right,
H=4(x+3y)+2
H - 2 = 4(x+3y)
{H - 2}/4 = (x + 3y)
x = [H - 2]/4 - 3y

Thus, the simplified solution for the x is given as x = [H - 2]/4 - 3y.

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Answer:

1 and 5

Step-by-step explanation:

So basically corresponding angles are the angles which lie on the same line of the transversal

And also one of them will be an interior angle and the other a exterior angle

Answer:

D

Step-by-step explanation:

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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There are at least two group means that are significantly different from one another, according to the alternative hypothesis (H a). The alternative hypothesis is adopted if the outcome is statistically significant.

You can use ANOVA to determine whether differences between data sets are statistically significant. It functions by examining the levels of variance present within each group using samples drawn from each.

The likelihood that the mean of a sample taken from the data will be different owing to chance increases if there is a lot of variance (spread of data away from the mean) among the data groups.

In addition to examining the variance within the data groups, ANOVA also considers sample size (the smaller the sample, the lower the likelihood that outliers will be randomly selected from it) and sample mean differences (the greater the difference between the sample means, the greater the likelihood that an outlier will be randomly selected from it).

hence, The alternative hypothesis is adopted if the outcome is statistically significant.

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Answer: -7

Step-by-step explanation:

-3 (5/6) + 2 (5/6) - 7 + (5/6)

The properties of the linear equation are:

Slope: 3

y-intercept: y = 6

Equation: y = 3x + 6

The formula for the equation of a Line in slope intercept form is expressed as:

y = mx + c

where:

m is slope

c is y-intercept

Now, the y-intercept is when x = 0 and as such in this case, it is:

c = 6

Slope between two coordinates is:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (6 - 3)/(0 - (-1))

Slope = 3

Thus, equation is:

y = 3x + 6

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Given the Multiplication:

You need to remember the following formula that can be used to multiply binomials in that form:

In this case:

Therefore, using the formula, you get:

Hence, the answer is:

The quadratic expression can be factorized to:

x*(x - 6)

Here we have the expression:

x^2 - 6x

To factorize this, first, we need to find the roots, which are the solutions of:

x^2 - 6x = 0

Notice that one of the solutions is trivial, and it is x = 0.

If now we assume that x ≠ 0 and divide both sides by x, we get:

x - 6 = 0

x = 6

That is the other solution.

Now, for a square polynomial with the roots a and b, the factorized form is:

(x - a)*(x - b)

In this case, the roots are 0 and 6, then:

x^2 - 6x = (x - 0)*(x - 6) = x*(x - 6)

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"if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

The statement "if a, then b" is known as a conditional statement, which is a type of logical statement that is often used in mathematics and other fields. In this case, the statement means that if statement a is true, then statement b must also be true. If a is false, then the truth value of b is not relevant, as the statement is considered true regardless.

The statement "if a, then b" is often written as "a → b" using logical symbols. The symbol "→" is read as "implies" or "if-then".

For example, consider the statements "If it is raining, then the ground is wet" (a → b). This statement is considered true unless it is raining and the ground is not wet, which is a contradiction. If it is not raining, the truth value of "the ground is wet" is not relevant to the truth of the conditional statement.

In summary, "if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

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Answer:

(x - 5)(x - 5)

Step-by-step explanation:

\( {x}^{2} - 10x + 25 \: is \: the \: expansion \\ of \: {(x - 5)}^{2} \\ {(x - 5)}^{2} = (x - 5)(x - 5)\)

The complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

A quadratic expression of the form ax² + bx + c is factored by using the mid-term factorization method, which suggests that b should be broken in such two components that their product = ac. After this, we can factorize using the grouping method.

In the question, we are asked to factor the quadratic expression x² - 10x + 25 completely.

Comparing x² - 10x + 25 to ax² + bx + c, we get a = 1, b = -10, and c = 25.

To factor the expression we will use the mid-term factorization method, and try to break b in such two numbers whose product = ac.

Now, ac = 1 * 25 = 25. b = -10, which can be broken as -5, and -5.

Therefore, we can write the given expression as:

x² - 10x + 25

= x² - 5x - 5x + 25, mid-term factorization

= x(x - 5) -5(x - 5), grouping

= (x - 5)(x - 5), grouping.

Therefore, the complete factorization of the quadratic expression x² - 10x + 25 is (x - 5)(x - 5). Hence the first option is the right choice.

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Answer:

sdgsehseh

Step-by-step explanation:

sehsdhsehsdhs

(-19, 55)

Summary: The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).

The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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Answer:

$2.31

Step-by-step explanation :

$16.17 divided by 7

The problem involves finding the distance from a given point (12, 14, 1) to the y-z plane. The distance can be determined by finding the perpendicular distance from the point to the plane.

The equation of the y-z plane is x = 0, as it does not depend on the x-coordinate. We need to calculate the perpendicular distance between the point and the plane.

To find the distance from the point (12, 14, 1) to the y-z plane, we can use the formula for the distance between a point and a plane. The formula states that the distance d from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0 is given by the formula:

d = |Ax₀ + By₀ + Cz₀ + D| / √(A² + B² + C²)

In this case, since the equation of the y-z plane is x = 0, the values of A, B, C, and D are 1, 0, 0, and 0 respectively. Substituting these values into the formula, we can calculate the distance from the point to the y-z plane.

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1.false2.false3.true4.true5.true

Answer:

\(\large\boxed{\tt x=2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for the value of x.}\)

\(\textsf{We are given an equation where x is on both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Begin solving by adding x to both sides of the equation to cancel out -x on the right}\)

\(\textsf{side of the equation. Afterwards, simplify the left side of the equation to evaluate}\)

\(\textsf{x.}\)

\(\large\underline{\textsf{Evaluating x;}}\)

\(\tt -2 + x= -x + 2\)

\(\textsf{Remove the -x on the right side by adding x to both sides of the equation.}\)

\(\tt -2 + x +\boxed{\tt x} = -x + \boxed{\tt x}+ 2\)

\(\tt -2 + 2x = 2\)

\(\textsf{Now, we should simplify the left side of the equation as there's only a whole number}\)

\(\textsf{on the right side of the equation.}\)

\(\textsf{Remove the -2 on the left side of the equation by adding 2 to both sides of the equation.}\)

\(\tt -2 + \boxed{\tt 2}+ 2x = 2 + \boxed{\tt 2}\)

\(\tt 2x = 4\)

\(\textsf{Lastly, divide both sides of the equation by 2 to find the value of x.}\)

\(\tt \frac{2x}{2} = \frac{4}{2}\)

\(\large\boxed{\tt x=2}\)

Answer:

\( \sf \: x = 2\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -2 + x = -x + 2

Then the value of x will be,

→ -2 + x = -x + 2

→ x + x = 2 + 2

→ 2x = 4

→ x = 4 ÷ 2

→ [ x = 2 ]

Hence, the value of x is 2.

On this problem we have two triangles FLW and YLW. We know that the sides FL and LY are congruent and the side LW is shared between the two triangles. Therefore we know that two sides are congruent, we don't know however if the angles F and Y are congruents, there is no indication of that, so we can't prove that it is congruent, because we need to know if the angles are congruents.

Based on the information provided, the circle graph represents the preferences of the citizens for their favorite type of pet. we can calculate the number of citizens who chose cats by multiplying the total number of citizens (130,000) by that percentage. If the graph shows that 40% of citizens chose cats, then the calculation would be 130,000 * 0.40 = 52,000 citizens who chose cats as their favorite pets.

According to the circle graph, we can see that the blue section represents the percentage of citizens who chose cats as their favorite type of pet. To find out the actual number of citizens who chose cats, we need to use the information that 130,000 citizens answered the question.

First, we need to determine what percentage of citizens chose cats. From the graph, it looks like the blue section represents about 35% of the total.

To calculate this percentage as a decimal, we divide 35 by 100:

35/100 = 0.35

Now we can use this decimal to find out how many citizens chose cats:

0.35 x 130,000 = 45,500

Therefore, approximately 45,500 citizens chose cats as their favorite type of pet.

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