Answer ASAP pls Find the slope of the line graph

The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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The minimum value for given linear equation 4x+3y will be 24.

What are linear equations?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

The minimum value for z=4x+3y will be at (6,0) i.e. 24

because this point follows the given linear inequalities too

as given in the graph provided in image.

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Answer:

D. positive integers

Explanation:

The domain of h(x) is the set of all possibles values that x can take. Since x is the number of students, x can take values like 0, 1, 2, 3, 4, ...

It means that the best description of the domain of h(x) is the positive integers.

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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The linear function parallel to the line represented by y = 3x/4 - 1/2 is given as follows:

y = 3x/4 + 1/2.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The slope of the line y = 3x/4 - 1/2 is given as follows:

m = 3/4.

Hence the equation of the parallel line is given as follows:

y = 3x/4 + 1/2.

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The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

42 1/6 square inches

Step-by-step explanation:

253=6x

x=42 1/6

42 1/6 square inches

:]

Answer:

this is a wild guess but  10.

Step-by-step explanation:

Not sure if you're allowed to do this but i added the x's

7x+3x= 10x

   10x+20.

I then subtracted 10 by both sides. That leaves me with 10.

  x =10

 this is a guess i apologize if it's wrong

Answer:

\(g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}\)

Step-by-step explanation:

The inverse of a function has \(x\) and \(y\) values switched from the original function. Therefore, simply switch \(x\) and \(y\) and isolate \(y\) to get your inverse function:

Original function: \(g(x)=41x^3+a\)

Switching \(x\) and \(y\), then isolating \(y\):

\(x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}\).

Therefore, the inverse of the \(g(x)=41x^3+a\) is:

\(\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}\).

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer: For number 1, the lines intersect, and for number 2, the lines are perpendicular.

Step-by-step explanation:

Perpendicular lines are lines that intersect to form a right angle, as shown for number 2, and intersecting lines are lines that intersect, creating obtuse and/or acute angles.

The equation of the line whose slope is 1/6 passing through the point (-9, 3) is -x - 6y - 27 = 0

To determine a line's inclination or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Given slope of equation m =\(\frac{1}{6}\)

A point on line (x₁,y₁) = (-9,3)

(y-y₁)= m (x-x₁)

(y-3) = \(\frac{1}{6}\) ( x − (-9))

y-3= \(\frac{1}{6}\) (x+9)

6(y-3) = x+9

6y - 18 = x +9

-x - 6y - 27 = 0

This is the equation of line

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Answer:

1. 2.5 miles/hour

2. 24 minutes

Step-by-step explanation:

1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour

2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

Using the distributions, it is found that there is a:

a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item a:

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is P(X = 10), thus:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 10) = C_{20,10}.(0.5)^{10}.(0.5)^{10} = 0.1762\)

0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item b:

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item c:

For the approximation, the mean and the standard deviation are:

\(\mu = np = 20(0.5) = 10\)

\(\sigma = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.5)} = \sqrt{5}\)

Using continuity correction, this probability is \(P(10 - 0.5 \leq X \leq 10 + 0.5) = P(9.5 \leq X \leq 10.5)\), which is the p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.

X = 10.5:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{10.5 - 10}{\sqrt{5}}\)

\(Z = 0.22\)

\(Z = 0.22\) has a p-value of 0.5871.

X = 9.5:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{9.5 - 10}{\sqrt{5}}\)

\(Z = -0.22\)

\(Z = -0.22\) has a p-value of 0.4129.

0.5871 - 0.4129 = 0.1742.

0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

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The value of s in the point (s,-3) after using slope formula is -4.

What is slope?

Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. 

Using slope formula,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

Now the given point  is ,

\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)

=> slope m= 1/4

=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)

=> \(\frac{1}{4} = \frac{-1}{-8-s}\)

=> -8-s=-4

=>-s=-4+8

=> -s=4

=> s =-4.

Hence the value of s is -4.

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The mean amount paid = $16

The amount paid by the eight neighbours are $15.00, $26.00, $12.00, $12.00, $12.00, $11.00, $10.00, $30.00

The mean of a set of data is given by the formula:

The mean amount paid = $16

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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The two equations are:

y(x) = x + 2

r(x) = 2x

And the graph can be seen below, the solution is (2, 4)

We know that the yellow flower is 2 centimeters tall and grows at a rate of 1cm per day, then after x days the height is:

y(x) = x + 2

And the red one starts at 0 centimeters, and then grows at a rate of 2cm per day, so the height equation is:

r(x) = 2x

The graph of the two linear equations can be seen on the image below:

The solution is the point where the lines intersect, in this case is the point (2, 4).

Which means that after 2 days both plants will have a height of 4 cm.

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Based on a system of equations, the investment at each rate is as follows:

A system of equations, also known as simultaneous equations, yields the solutions to two or more equations solved concurrently or simultaneously.

We use the let statements to state the variables of simultaneous equations.

The total investment = $6,000

The total interest earned = $460

Interest rates:

A = 7%

B = 11%

Let investment A = a and investment B = b

0.07a + 0.11b = 460 ... Equation 1

a + b = 6,000 ... Equation 2

Multiply Equation 2 by 0.07:

Equation 3: 0.07a + 0.07b = 420

Subtract Equation 3 from Equation 1:

0.07a + 0.11b = 460

-

0.07a + 0.07b = 420

0.04b = 40

b = 1,000

= $1,000

From Equation 2:

a + b = 6,000

a + 1,000 = 6,000

a = 5,000

= $5,000

Thus, whereas $5,000 is invested at 7%, $1,000 is invested at 11%.

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Entry Point 1 focuses on pattern recognition and rule identification, while Entry Point 2 emphasizes pattern continuation and application.

One mathematical task suitable for intermediate phase learners that can have at least two entry points is a problem involving geometric patterns and sequences. Here's an example:

Problem: Consider the following geometric pattern:

□

□ □

□ □ □

□ □ □ □

Entry Point 1: Identifying the Rule

Ask students to examine the pattern and determine the rule for the number of squares in each row. Encourage them to look for patterns, count the number of squares in each row, and think about how it changes as the rows progress. The entry point here is to observe the pattern and identify the rule that governs the number of squares in each row.

Entry Point 2: Extending the Pattern

Provide students with the first few rows of the pattern and ask them to continue the pattern for a certain number of rows. For example, give them the first four rows and ask them to extend the pattern for three more rows. The entry point here is to extend the pattern by applying the identified rule.

By providing these two entry points, students can engage in different levels of thinking. Entry Point 1 focuses on pattern recognition and rule identification, while Entry Point 2 emphasizes pattern continuation and application.

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

Apologies for the confusion. Let's solve the equation correctly:

75 + (4x + 1) = 180

To simplify, we need to remove the parentheses:

75 + 4x + 1 = 180

Combine like terms:

4x + 76 = 180

Now, we want to isolate the variable term by subtracting 76 from both sides:

4x = 180 - 76

4x = 104

Finally, divide both sides by 4 to solve for x:

x = 104/4

x = 26

So the solution to the equation is x = 26.

Step-by-step explanation:

Answer:

if you are solving for X, then the answer is 26.

Step-by-step explanation:

75+(4x+1)=180

First subtract 75 from both sides

4x+1=105

Since there is nothing to be distributed using the parenthesis, you can remove them.  Next, subtract 1 from both sides.

4x=104

Divide 4 from both sides to isolate X

x=26

hope this helps