What is the slope of this line?
I need help?!!

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

Ans:5x

Answer: 10h + 15

Step-by-step explanation:

Answer:

10h + 3

Step-by-step explanation:

(5h + 9) - (-5h + 6)

= 5h + 9 + 5h - 6

= 10h + 3

The equation of the line perpendicular to y = 2x + 15 and passing through the point (12, -48) is y = -1/2x - 42.

To find the equation of the line passing through the point (12, -48) and perpendicular to y = 2x + 15, we need to first find the slope of the perpendicular line. The slope of the given line is 2. Since perpendicular lines have slopes that are negative reciprocals, the slope of the perpendicular line is -1/2.

Now, we use the point-slope form of the equation for a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Plug in the values: y - (-48) = -1/2 (x - 12)

Simplify the equation:

y + 48 = -1/2x + 6

Now, write the equation in the slope-intercept form (y = mx + b):

y = -1/2x + 6 - 48

y = -1/2x - 42

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Answer:

30 cubic feet

Step-by-step explanation:

\(3 \times 5 \times 2 = 30\)

Answer:

944 cm²

Step-by-step explanation:

get the area of each side: 12*10+10*16+12*16= 472

2 sets of each side: 944

Answer:

Exact Form:

\(\frac{28}{3}\)

Decimal Form:

9.3¯ (where the three is repeating)

Mixed Number Form:

\(9\frac{1}{3}\)

Answer:

b  ≥ 4

Step-by-step explanation:

12b + 12 ≥ 60

Subtract 12 from each side

12b + 12-12 ≥ 60-12

12b  ≥ 48

Divide each side by 12

12b/ 12 ≥ 48/12

b  ≥ 4

Close circle at 4  line to the right

Answer:

Step-by-step explanation:

12b + 12 ≥ 60

1) add -12 at both members

12b + 12-12 ≥ 60 -12

12b ≥ 48

2) divide both members by 12

12/12 b ≥ 48/12

b ≥ 4

for graph the solutions we have to draw two lines

the first one is an horizontal line that has as equation the right part of the inequality

y = 60

the second one is a line the that passes from the origin and interecpts the first line in (4;60). 4 is the the first number that can be a possible value of the inequality

Equation a line that passes for two points  A (0,0) , B (4,60)

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 60)/ (0 -60) = (x - 4) / (0-4)

(-y+60)/60 (-x+4)/4

-y + 60 = -15x + 60

y = 15x

the solutions of the inequality are all the points between the two lines with x≥4 and y≥60

The three externalities, which can either be positive or negative are Pollution from a factory, as more electricity is consumed, more coal is burned in power plants and vaccinations, such as the flu shot, can be advantageous for third parties.

The three externalities, which can either be positive or negative are:

1. Pollution from a factory can affect a community's quality of life and lead to health issues for the population.

2. As more electricity is consumed, more coal is burned in power plants, which contributes to pollution and causes smog, acid rain, and global warming.

3. Vaccinations, such as the flu shot, can be advantageous for third parties since they stop the spread of the illness in the general population, which has positive externalities.

These externalities arise because they provide a benefit or incur a cost to a third party, who may be a society or a consumer who is not using the service. Government intervention can address some of these issues in two ways:

(a) Command and control rules that impose direct restrictions on behavior, such as restricting smokestack emissions or the amount of toxic waste and outlining specific cleanup processes.

(b) Market-based policies that can encourage favorable externalities by offering market players incentives to reach the socially optimal level In order to reduce costs or boost production to improve demand and supply, the government can either provide subsidies to buyers or producers.

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Answer:

Step-by-step explanation:

Area for triangle A is 12 Triangle B is 12 triangle C is 12

The area is related to the base and it's corresponding height because they all equal each other. The triangle has added on parts and it shows they are all equal but are in a different direction.

The area of the shaded triangle is 18 because the base is 6 and the height is 6.

A, B, E

I hope this helps.

Answer:

A: is 12  

B is 12

C is 12

Step-by-step explanation:

I hope this is the correct answer (✿◡‿◡)

Using the t-distribution, as we have the standard deviation for the sample, it is found that the test statistic is given by:

A. -4.47

At the null hypothesis, it is tested if they spend 7 hours a week answering their email, that is:

H₀: µ = 7

At the alternative hypothesis, it is tested if they spend less than 7 hours, that is:

H₁:  µ < 7

The test statistic is given by:

t = x -  µ/s/√n

The parameters are:

x is the sample mean.

µ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the parameters are given as follows:

x = 6.02 ,  µ = 7, s =7.8, n=1264

Hence the test statistic is:

t =  x -  µ/s/√n

t = 6.02-7/7.8/√1264

t = -4.47

Thus the test elastic is -4.47.

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The function represented by the data is f(1/4)x³ + 2x² - 24. The correct option is 2.

In the given table, we have the values of x and f(x) for x=0,1,2,3, and 4. We need to find a polynomial function that satisfies these data points.

Looking at the table, we can see that f(x) is negative for x=0,1,2 and positive for x=3,4. This suggests that the polynomial has a root or a zero between x=2 and x=3.

To find the degree of the polynomial, we count the number of data points given. Since we have 5 data points, we need a polynomial of degree 4.

We can use interpolation to find the coefficients of the polynomial. One way to do this is to set up a system of equations using the data points:

f(0) = -24 = a(0)⁴ + b(0)³ + c(0)² + d(0) + e

f(1) = -21.75 = a(1)⁴ + b(1)³ + c(1)² + d(1) + e

f(2) = -14 = a(2)⁴ + b(2)³ + c(2)² + d(2) + e

f(3) = 0.75 = a(3)⁴ + b(3)³ + c(3)² + d(3) + e

f(4) = 24 = a(4)⁴ + b(4)³ + c(4)² + d(4) + e

Solving this system of equations gives us the polynomial function:

f(x) = -0.25x⁴ + 2x³ - 2.75x² - 0.5x + 24

Therefore, the correct option is 2. f(x) = (1/4)x³ + 2x² - 24.

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Answer:

205

Step-by-step explanation:

we first enter the desired number equaling the equation, so 21. then we enter the first term and find the common difference, in this case it's going up by 9. then we take the desired term, subtract 1 and we end up with 205 as the 21st term.

21 = 25 + 9 (21 - 1)

:

Ss

Step-by-step explanation:

Answer: 3

Step-by-step explanation: 345

The total distance Fiona covers in 2 laps is 439.6 meters.

To calculate the total distance Fiona covers in two laps, we first need to find the distance of one lap and then multiply it by 2.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is a constant equal to approximately 3.14, and r is the radius of the circle.

Given that the course is 70 meters, we know that the diameter of the circle is also 70 meters.

We can find the radius by dividing the diameter by 2:radius (r) = diameter (d) / 2r = 70 m / 2r = 35 m

Now we can use the formula for the circumference of a circle to find the distance of one lap:

C = 2πrC = 2 × 3.14 × 35C ≈ 219.8 m

Therefore, the total distance Fiona covers in 2 laps is 2 × 219.8 = 439.6 meters or approximately 440 meters.

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To determine the number of small vehicles washed in total, we can use the given equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. By substituting the value of y as 50, Therefore, the number of small vehicles washed in total is 60.

The equation 5x + 10y = 800 represents the total amount collected from the car wash fundraiser, with $5.00 charged for each small vehicle (represented by x) and $10.00 charged for each larger vehicle (represented by y). We are given that the number of larger vehicles washed (y) is 50.

To determine the number of small vehicles (x), we substitute the value of y as 50 into the equation:

5x + 10(50) = 800.

Simplifying the equation, we have:

5x + 500 = 800.

Next, we isolate the variable x by subtracting 500 from both sides:

5x = 800 - 500,

5x = 300.

Finally, we solve for x by dividing both sides of the equation by 5:

x = 300 / 5,

x = 60.

Therefore, the number of small vehicles washed in total is 60.

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The units of the slope of the linear function are dollars per iPhone per hour, or simply dollars/hour.

The slope of the linear function, to calculate the rate of change of cost with respect to the number of iPhones produced per hour.

Let's call the number of iPhones produced per hour x and the cost y.

To create two points on the line that represents the cost of producing iPhones:

Point 1:

(10, 1900)

Point 2:

(20, 3780)

The slope of the line passing through these two points is:

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

slope = (3780 - 1900) / (20 - 10)

slope = 1880 / 10

slope = 188

The units of the slope are the change in cost per unit change in the number of iPhones produced per hour.

The cost is given in dollars and the number of iPhones is given in hours, the units of the slope would be dollars per iPhone per hour.

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Stan only owns 4/5 of an acre and 2/3 of that acre of a piece of property. He thus owns 8/15 acres of enclosed property.

A grouping of numeric variables or arithmetic operations using symbols such as addition, subtraction, multiplication, and division is called an expression.

Stan only owns a piece of property that is 4/5 acres in size, and 2/3 of those acres are fenced, therefore we must take that into account when calculating the overall amount of land that is fenced.

We would multiply 4/5, the amount Stan possesses, by 2/3, the amount fenced, to get the amount of his property that is fenced.

=> 4/5  X  2/3

=> 8/15

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Given:

Bird center bar chart is given.

Option D is the final answer.

To determine the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion, we can use the concept of margin of error and the Central Limit Theorem.

The Central Limit Theorem states that the distribution of sample proportions approaches a normal distribution as the sample size increases, given that the sample size is sufficiently large (typically n ≥ 30). In this case, our sample size is 400, which is large enough.

To find the margin of error, we can use the formula: E = Z * sqrt(p * (1 - p) / n), where E is the margin of error, Z is the Z-score corresponding to the desired level of confidence, p is the population proportion, and n is the sample size.

In this problem, we are given the margin of error as 0.09. Unfortunately, we don't have enough information to determine the exact Z-score or the population proportion (p). However, we can still analyze the given answer choices: 99.968%, 0.032%, 16%, and 84%.

Considering that our margin of error is 0.09 and our sample size is sufficiently large, it's highly likely that the sample proportion will fall within this range. Thus, the correct answer should be the highest probability among the given choices, which is 99.968%.

In conclusion, the probability that a random sample of 400 U.S. adults will provide a sample proportion within 0.09 of the population proportion is approximately 99.968%.

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Answer:

The answer is option 2.

Step-by-step explanation:

You have to substitute the value of y into the equation :

\(8x - 2y = 48\)

\(let \: y = 4\)

\(8x - 2(4) = 48\)

\(8x - 8 = 48\)

\(8x = 48 + 8\)

\(8x = 56\)

\(x = 56 \div 8\)

\(x = 7\)

The value of x in the equation 8x - 2y = 48 is 7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

8x - 2y = 48

Now, for y=4 put the value of y as 4 in given equation we get

8x- 2(4)= 48

8x -8= 48

8x = 48+ 8

8x = 56

x= 56/8

x= 7

Thus, the value of x is 7.

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Answer:

\(x=\frac{1}{7}y+\frac{3}{7}\)

Step-by-step explanation:

\(y=7x-3\)

\(7x-3=y\)

\(7x-3+3=y+3\)

\(\frac{7x}{7}= \frac{y+3}{7}\)

\(x=\frac{1}{4}y+\frac{3}{7}\)

Answer:

he has 86.36% percent out of 100

Answer:

hope it helps you........

Step-by-step explanation:

The midpoint formula is

\( (\frac{x1 + x2}{2} ) \: and \: ( \frac{y1 + y2}{2} )\)

Where (x1,y1) is one pair of the points and (x2,y2) is the other pair of points.

The points are

(-5,-4)

(-3,3) So the midpoint is

\(( \frac{( - 5 + ( - 3)}{2} )\: and \:( \frac{ - 4 + 3}{2} )\)

Which gives us

\( - 4 \: and \: - 0.5\)

So the midpoint is

(-4,-0.5)

The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).

To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :

A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).

B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.

C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.

D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.

E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.

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Answer:

-8(3x-8)

Step-by-step explanation:

Factor -8 out of -24x+64

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

We are given a triangle with the condition that BA ≅ CA. This means that side BA has a length equal to that of side CA.

Now, an Isosceles triangle is defined as a triangle that has at least two sides of equal length. This means that the given triangle ABC is an Isosceles triangle.

Now, since Triangle ABC is an Isosceles triangle, it means that when we draw a perpendicular line through the point joining the two equal sides, it bisects the third side of the triangle.

Thus, it means that BD is congruent to CD.

If BD = 3, then it means that CD is also equal to 3 by definition of Isosceles triangle.

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