14. Write the point-slope form of the function that has a slope of -3 and passes through the
point (11,2).

Answer:

9.3 x 10⁷

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9.3 x 10 to the 7th power

Since the schools in an athletic conference compete in a cross-country meet to which each school sends three participants.  So, 46 schools took part in the race.

To know the number of schools that took part in the race, we can use the finishing positions of Erin, Katelyn, and Iliana.

Note that:

Erin finished in the middle position, so one can say that there are an equal number of schools that finished before and after her.

Thus it tells that there are 18 schools that finished before Erin (since Katelyn finished in the 19th position).

Note also that Iliana finished in the 28th position. so , there are 27 schools that finished after Iliana.

Hence to calculate the total number of schools, one need to add the number of schools before Erin (18) to the number of schools after Iliana (27), and then add 1 to include the school that Erin, Katelyn, and Iliana represent:

Total number of schools = 18 + 27 + 1

                            = 46

So, about 46 schools took part in the race.

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Answer: Option B

Step-by-step explanation:

Answer:

Quantity:: d + q = 59 coins

Value:: 10d+25q = 1205 cents

Step-by-step explanation:

Answer:

$6.86

Step-by-step explanation:

Answer:

$11.34

Step-by-step explanation:

8.82 x 9/7 = 11.34

This means 8.82 is 7/9 of 11.34

The present costs 11.34 dollars

The dimensions of the rectangular garden are 8.5 meters and 7.5 meters.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

The diagram is given below.

Given,

Perimeter of a rectangle = 2 (l + w), where l is the length and width.

Length of the rectangle = 4 + 3x

Width of rectangle = x + 6

Perimeter = 32 meters

Substituting,

2 (l + w) = 32

2(4 + 3x + x + 6) = 32

2(4x + 10) = 32

4x + 10 = 16

4x = 6

x = 6 / 4 = 3/2 = 1.5

Length = 4 + 3x = 8.5 meters

Width = x + 6 = 7.5 meters

Hence the length and width of the rectangle are 8.5 meters and 7.5 meters respectively.

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Answer:

C.-1.6

Step-by-step explanation:

distance: -1 - (-2) = 1

1 ÷ 5 = 1/5

-1 - 1/5 × 3 = -1 3/5 = -1.6

Answer:

WHat question

Step-by-step explanation:

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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\(20 - 4 \times 4 \div 2 + 3\)

15

ray4918 here to help

Answer:

14

Step-by-step explanation:

20-4×4÷2+2=14

you change the words into symbols

Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

answer

g(12)= 33

Step-by-step explanation:

i just took the test

Hey there!

g(x) = 3x - 2

y = 3x - 2

12 = 3x - 3

3x - 3 = 12

ADD 3 to BOTH SIDES

3x - 3 + 3 = 12 + 3

CANCEL out: -3 + 3 because it give you 0

KEEP: 12 + 3 because it give you the value of the x-value

NEW EQUATION: 3x = 12 + 3

SIMPLIFY IT!

3x = 15

DIVIDE 3 to BOTH SIDES

3x/3 = 15/3

CANCEL out: 3/3 because it give you 1

KEEP: 15/3 because it help solve for the x-value

NEW EQUATION: x = 15/3

SIMPLIFY IT!

x = 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The answer is "\({c=-6+3\sqrt{14}\)"

Step-by-step explanation:

Given:

\(\to F(x) = \frac{x}{x+6} , \ [1, 12]\)

\(\to f'(c)=\frac{f(b)-f(a)}{b-a}\)

As per the given intervals:

\([1,12]\\\\ a=1 \\ b=12.\)

Calculating the values of f(a) and f(b).

\(\to f(1)=\frac{1}{1+6}= \frac{1}{7} \\\\ \to f(2)=\frac{12}{12+6}= \frac{12}{18}=\frac{2}{3} \\\\ \to f(x)=\frac{x}{x+6}\\\\\)

\(\to f\:'\left(x\right)=\frac{d}{dx}\left(\frac{x}{x+6}\right)\: \\\\\)

         \(=\frac{\frac{d}{dx}\left(x\right)\left(x+6\right)-\frac{d}{dx}\left(x+6\right)x}{\left(x+6\right)^2} \\\\=\frac{1\cdot \left(x+6\right)-1\cdot \:x}{\left(x+6\right)^2}\\\\\)

\(\to f'(x)=\frac{6}{\left(x+6\right)^2}\)

Calculating the value of \(\ f'(c):\)

\(\to \mathbf{f\:'\left(c\right)=\frac{6}{\left(c+6\right)^2}}\)

Replacement of the values in the mean theorem of value now.

\(\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{2}{3}-\frac{1}{7}}{12-1}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{\frac{11}{21}}{11}\\\\\to \frac{6}{\left(c+6\right)^2}=\frac{1}{21}\\\\\)

 Apply the cross multiplication:

\(\to (c+6)^2=126 \\\\\to c^2+12c +36= 126\\\\\to c^2+12c +36-126= 126-126 \\\\\to c^2+12c -90= 0\\\\\to c=\frac{-12\pm \sqrt{12^2-4\cdot \:1\left(-90\right)}}{2\cdot \:1}\\\\ \to \mathbf{c=-6+3\sqrt{14}} \\\\\)

(c) The worst-case running time of deleting the minimum element from a (min) binary heap with N elements is O(logN).

In a binary heap, the minimum element is always located at the root, which is the topmost element of the heap. When the minimum element is deleted, it needs to be replaced with a new element from the heap in order to maintain the heap property.

The process of replacing the root element and restoring the heap property is known as "heapify" or "heap-down." In the worst case, the replacement element may need to be compared and swapped multiple times with its children until it reaches its correct position in the heap.

Since the height of a binary heap is logarithmic with respect to the number of elements (N), the worst-case number of comparisons and swaps required during the heap-down process is proportional to the height of the heap, which is O(logN).

Therefore, (c) the worst-case running time of deleting the minimum element from a binary heap is O(logN).

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Answer:

A,B,E,F those the answer i have EOC review packet done

Step-by-step explanation:

Points, lines and planes are undefined terms in geometry.

The true statements are:

First, we test each option to determine the true and false options.

(a) S, V and U are collinear

Points that are collinear are on the same line

S, V and U are not collinear, because they are not on the same line.

Hence, (a) is false

(b) Q, S, T and U are coplanar

Points that are coplanar are on the same plane

Q, S, T and U are not coplanar, because they are not on the same plane.

Hence, (b) is false

(c) V lies on line ST

Point V is the point of intersection of line ST and plane A

This means that point V lies on line ST and plane A

Hence, (c) is true

(d) ST is perpendicular to plane A

Line ST intersects with plane A at point V at 90 degrees.

Perpendicular lines and planes meet at 90 degrees

Hence, (d) is true

(e) ST is perpendicular to RV

Because line ST intersects with plane A at point V at 90 degrees.

Any line drawn from point V would be perpendicular to line ST

Hence, (e) is true

(f) P, R and Q are collinear

Points that are collinear are on the same line

P, R and Q are not collinear, because they are not on the same line.

Hence, (f) is false

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The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.

To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.

To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.

Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.

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The employer must pay $1,125. 25 per month, and the total recruitment fees that Flor pays is $3,849.99.

The given problem states that Flor got a job with a salary of $55K per annum, and the agency fee is 28% of her monthly salary for three months. We need to find how much the employer has to pay each month and the total recruitment fees that Flor has to pay. Flor got a job through the Valley Recruiting Service, which pays $55K per year. The agency fee is equivalent to 28% of her monthly salary for three months. Thus, the recruitment fee is $55,000/12 = $4,583.33 per month.Flor will be charged a 28% agency fee for each of the first three months she is employed, which is equivalent to 0.28*4,583.33 = $1,283.33. After that, Flor will not be charged any additional fees.Therefore, for the first three months, the employer must pay Flor a salary of $4,583.33 + $1,283.33 = $5,866.67. Therefore, the monthly payment that the employer must make is $5,866.67/3 = $1,955.56.Calculation:For the employer to pay each month, it can be calculated as follows:Employer must pay Flor a salary of $4,583.33 + $1,283.33 = $5,866.67.The monthly payment that the employer must make is $5,866.67/3 = $1,955.56.Thus, the answer is $1,125. 25.To calculate the total recruitment fees that Flor pays, we need to multiply the monthly salary by the agency fee per month. For the first three months, Flor will be charged $1,283.33 per month, so the total cost to her will be $1,283.33*3 = $3,849.99.Thus, the answer is $3,849.99.

Therefore, the employer must pay $1,125. 25 per month, and the total recruitment fees that Flor pays is $3,849.99.

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Answer:

the third one

Step-by-step explanation:

B = p ∩ q

B is the common part of p and q

The conditional statement P→Q is logically equivalent to its contrapositive ¬Q→ ¬P .

Conditional statements are ones that begin with a hypothesis and end with a conclusion or rationale. It is sometimes referred to as the "If-then" statement.

In mathematics, a statement is a declarative utterance that can only be true or false. A statement is sometimes known as a proposition. It is critical that there be no ambiguity.

A contrapositive assertion is created when we reverse the hypothesis and conclusion of a statement and disprove both of them.

To put it another way, we must first find the inverse of the supplied conditional statement before swapping the places of the hypothesis and conclusion to find the contrapositive.

We have, p→q , then the inverse of both the statements is given by ¬p and ¬q .

So, the contrapositive statement will be ¬p → ¬q

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The angle m∠A can be represented as follows:

The above circle, a secant and a tangent intersect outside the circle.

A secant is a straight line that intersects a circle in two points.

A tangent  is a line that never enters the circle's interior.

Therefore, when a secant and a tangent intersect, the following rules applies:

m∠A = 1 / 2 (BD - BC)

m∠A = 1 / 2 (164 - 70)

m∠A = 1 / 2 (94)

m∠A = 47 degrees.

Therefore, the angle m∠A can be represented as follows:

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If quadrilateral RSTU is reflected across the line x = 1, then the coordinates of R’, S’, T’, and U’ are (-3, 2), (-2, 4), (-3, 6) and (-4, 4) respectively.

To reflect a point across the line x = 1, we can use the formula (2a - x, y), where (a, b) is the original point and x = 1 is the line of reflection.

Using this formula, we can find the coordinates of the reflected points as follows:

The x-coordinate of the line of reflection is 1, so the new x-coordinate for each point will be 2(1) - x = 2 - x.

The y-coordinate for each point will remain the same.

Therefore, the reflected coordinates are:

R' = (2(1) - 5, 2) = (-3, 2)

S' = (2(1) - 4, 4) = (-2, 4)

T' = (2(1) - 5, 6) = (-3, 6)

U' = (2(1) - 6, 4) = (-4, 4)

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Use the limit definition to find the slope of the tangent line to the graph of f at the given point. f(x) = 14 − x2, (3, 5)

The slope of the tangent line to the graph of f at (3, 5) is -6.

The slope of the tangent line to the graph of f at (3, 5) can be found using the limit definition of the slope. The slope of the tangent line can be calculated as the limit of the average rate of change of the function f(x) between two points as the distance between the points approaches zero. The formula is given by: lim _(h → 0) [f(x + h) - f(x)] / h

where h is the change in x, which is the difference between the x-value of the point in question and the x-value of another point on the tangent line. The given function is f(x) = 14 - x². To find the slope of the tangent line at x = 3, we need to calculate the limit of the average rate of change of f(x) as x approaches 3.

Using the formula,

lim_(h → 0) [f(x + h) - f(x)] / h

= lim_(h → 0) [(14 - (x + h)²) - (14 - x²)] / h

= lim_(h → 0) [14 - x² - 2xh - h² - 14 + x²] / h

= lim_(h → 0) [-2xh - h²] / h

= lim_(h → 0) [-h(2x + h)] / h

= lim_(h → 0) [-2x - h] = -2x

When x = 3, the slope of the tangent line is -2(3) = -6.

Therefore, the slope of the tangent line to the graph of f at (3, 5) is -6.

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Answer:

-2x +6

Step-by-step explanation:

\(f(x)=3x+2,\:\\g(x)=4-5x\\\\f(x) +g(x) =\\3x+2+\left(4-5x\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x+2+4-5x\\\\\mathrm{Group\:like\:terms}\\=3x-5x+2+4\\\\\mathrm{Add\:similar\:elements:}\:3x-5x=-2x\\=-2x+2+4\\\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=-2x+6\)

If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

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The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS

The solution for x is x ≤ -3/4.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve for x in the inequalities:

5x - 4 ≥ 12 and 12x + 5 ≤ -4

We'll solve each inequality separately:

5x - 4 ≥ 12

Adding 4 to both sides, we get:

5x ≥ 16

x ≥ 16/5

So the first inequality is solved for x as x ≥ 16/5.

Now, 12x + 5 ≤ -4

Subtracting 5 from both sides, we get:

12x ≤ -9

x≤ -9/12

x≤ -3/4

The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.

Therefore, the solution for x is x ≤ -3/4.

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Answer:

C = 1

Step-by-step explanation

Answer:

c = 1

Step-by-step explanation:

9c - 18c - 11c = - 20

Combine like terms.

- 20c = - 20

Divide both sides by -20.

c = 1

Answer:

20

Step-by-step explanation:

Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:

x+4=3x-10

Solve:

14=2x

x=7

Then we find AC, which is:

2x-5+x+4 = 3x-1

We can plug x in to get:

3*(7)-1=20

The value of the expression 564 divided by 5 is 112 R4.

An expression simply means the illustration of the information given using variables.

In this case, it should be noted that the question is about the division of 564 divided by 5.

This will be:

= 564 ÷ 5

= 112 4/5

This can be illustrated as 112 R 4.

Note that the options weren't given in the question but the question was explained to further enhance your understanding.

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