The ------------- of a circle is a line segment that joins two points on the circumference of the circle and passes through the centre of the circle

Solution

The Amount after t years is given by

The Percentage annual increase is

Hence, the account increase 75% annually

Answer: f(4) = -18

Step-by-step explanation:

f(4) = -3(4 + 2)

= -3(6)

= -18

We know that the angle 2 and the anlge 4 are equal because of oposite angles so:

and we can solve for x so:

So:

Now we also know that angle 1 and 3 are equal and the sum of the internal angles must be:

So angle 1 is equal to 132º

Answer:

18

Step-by-Step Explanation:

[tex]\frac{dy}{dx}=9x^2 + 4x-5 \\ \\ \frac{d^2 y}{dx^2}=18x+4 \\ \\ \frac{d^3 y}{dx^3}=18[/tex]

Answer:

C. -68

Step-by-step explanation:

Using absolute value symbols, it makes any negative number a positive. But, the negative sign is outside the absolute value signs, making the number -58. -68 is the only number less than -58.

The true statement based on the information is that D. There were fewer attendees than purchased tickets.

A box and whisker plot is a graphical representation of variance in a set of data. A histogram analysis is sufficient in most circumstances, but a box and whisker plot can provide more detail while allowing different sets of data to be displayed in the same graph.

The box and whisker figure highlights data on the number of Broadway tickets sold and actual attendance at the performances. In this case, the graph shows that the number of tickets are more.

Therefore, the correct option is D.

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The given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.

Given that, M={x : x is an integer and 2 ≤ x ≤20.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

Now, the given set in roster method can be written as follows:

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

Therefore, the given set in roster method is written as {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}.

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"Your question is incomplete, probably the complete question/missing part is:"

Write the given set in roster method: M={x : x is an integer and 2 ≤ x ≤20

Answer:

30 percent of 120 is 36

We need to find the magnitude and direction from vector A of the resultanr vector.

How many miles of gas does my car travel if it used 2 gallons of gas with a speed of 4 mi/h?

Answer:

1/5

Step-by-step explanation:

a reciprocal is the multiplicative inverse

Answer:

The reciprocal of 5 is 1/5

Step-by-step explanation:

The reciprocal of a number is the fraction flipped upside down

6/1    =  1/6

⇒ 5/1 =    1/5

(1, 42)

1) Since we have an equation of the line y = 2 + 5(x + 7) let's find one point that ∈ to this line.

2) Let's plug into that for x, the value of x=1

y= 2+ 5(1+7)

y= 2 +5(8)

y= 2 +40

y= 42

3) So one of the points that lie on this line is (1, 42) i.e. belong to that line.



At least 26 bags of cat chow is required for a period of one year to fulfil the demand at the wildlife shelter in North Carolina

Quantity of cat chow sold in each bag = 20 lb

Consumption in lb of cat chow per week in the wildlife shelter = 10 lb

Number of weeks in a year = 52 weeks

The total quantity of cat chow required for 52 weeks = Weekly consumption of cat chow*Number of weeks

= 10*52

= 520 lb

Number of bags required = Toal quantity of cat chow required for 52 weeks/ Quantity of cat chow sold in each bag

= 520/20

= 26 bags

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As the image attached shows, the horizontal distance reached by the ball is 40 feet.

Notice that the horizontal movement goes from 0 to 40, this means the domain is

Since x-values are domain values.

Given

Notice that the right side of the equation consists of like terms (they do not depend on m). Therefore, Step 1 goes with Combine like terms.

Then,

Step 2 applies the distributive property.

As for the properties of the equality,

Thus, steps 3 through 5 are:

Step 3 - Addition property

Step 4 - Division property

Step 5 - Multiplication property

Using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

So, in September, Lucky weighed = 3.07 pounds

The equation form is:

So, now solve this linear equation and find 'x' as follows:

Therefore, using linear equations, the amount of weight Lucky gained between September and today is 7.74 pounds.

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Let:

x = Cost of one plain pizza

y = Cost of one soda

two friends went to a restaurant and ordered one plain pizza and two sodas. the bill totaled $15.95. so:

later that day, five friends went to the same restaurant. they ordered 3 plain pizzas and 5 sodas. their bill totaled $45.90. so:

Let:

From (1) solve for x:

Replace (3) into (2):

Replace the value of y into (3):

Therefore, the price of one plain pizza is $12.05

Part A

The variable are;

Plywood, wood planks, quarts of paint

Part B

Let p represent Plywood

Let w represent Plank of wood

Part c

Let p represent Plywood

Let w represent Plank of wood

Let q represent quarts of paint

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

Given:

Required:

We need to find the number of thousands.

Explanation:

Multiply 10 and 3.

The number of thousands is 30.

Final answer:

There are 30 thousands.

Answer:

Explanation:

A bag contains 11 red marbles and 4 blue marbles.

• The total number of marbles = 11+4=15

1 marble of any color is chosen random from the bag with a probability of 1/15.

A situation that can be modeled using such a situation must be one that also has a probability of 1/15.

In Option D,

The window has a length of 21 inches

From the question, we have the following parameters

Area of the window = 336 square inches

Width of the window = 16 inches

The area of the window is the product of its dimensions

So, we have

Area = Width of the window x Length of the window

Substitute the known values in the above equation

So, we have the following equation

336 = 16 * Length

Divide both sides by 16

Length = 21

Hence, the length is 21 inches

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Given the following trigonometric expression:

We will simplify the expression as follows:

First, taking sin (x) as a common

Second, we will use the following trigonometric identity:

Finally, substitute the trigonometric identity number (1) into the given expression

So, the answer will be sin (x)

Let's begin by listing out the information given to us:

The associated matrix associated to the linear transformation is A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex].

Linear transformations are applications between two vector spaces that preserves the properties of vector addition and the product of a vector and a scalar. In this problem, we find the following linear transformation between the two bases:

W → V

(w₁, w₂, w₃, w₄) → v₁

Then, there is the following relationship:

V = A · W

Where A is the associated matrix. The matrix V has four rows and one column and the matrix W has two rows and one column. Then, by property of multiplication of matrices, the associated matrix has four rows and two columns. Then, the associated matrix is:

A = [tex]\left[\begin{array}{cc}5&-6\\1&- 3\\8&- 2\\0 & - 4\end{array}\right][/tex]

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Using linear algebra, we concluded, the Mathew spent $50 and lan spent $80

Vectors, matrices, vector spaces, and linear transformations are all topics covered in the mathematical field of linear algebra. Linear algebra is much better understood than other areas of mathematics, which are regularly stimulated by novel concepts and unresolved issues.

According to the question,

Let Mathew spent $x

lan spent = 2x - 20

Total money spent = $130

⇒ 2x - 20 + x = 130

⇒ 3x - 20 = 130

⇒ 3x = 150

⇒ x = 50

2x - 20 = 2(50) - 20

= 80

So, Mathew spent $50 and lan spent $80

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The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.

A data set is a group of figures or values related to a specific topic. a list of words, numbers, or symbols, the values of which are frequently the outcomes of an investigation or observation. There are typically multiple variables in data sets.

A dataset is an organized group of data typically connected to a certain body of work. An organized collection of data kept as several datasets is called a database.

In an ordered data set, the median is the value in the middle. The mean is calculated by dividing the sum of all values by the total number of values. The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.

Therefore, the correct answer is option c) The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.

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In this problem, we have the transformation

A(-3,4) -------> A'(-15,20)

so

The rule is

(x,y) -----> (5x,5y)

the answer is option b

To answer this question we will use the following formula for the z-score:

Substituting = 2000h, = 40h and x=2100h we get:

Simplifying the above result we get:

Using tables we get:

Then:

The above result as a percentage is:

Answer: