Plot the foci of this ellipse.

The number of values in the data-set in this problem is given as follows:

n = 33.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The number of values in the data-set is given by the number of leafs of the plot.

Hence the number of values in the data-set in this problem is obtained as follows:

11 + 14 + 5 + 3 = 33.

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The total of 50 leaves in the given stem-and-leaf plot. There are 50 data values in this dataset.

A stem-and-leaf plot is a method for displaying data.

It is commonly used to depict the distribution of a dataset.

Determining the number of data values ​​in a given dataset requires counting the individual data points represented by the stem-leaf diagram.

In a stem-and-leaf plot, each data value is split into a stem and a leaf, which is then arranged in order.

In the given stem-and-leaf plot, the data values are:

5 0 0, 0 1, 2 3 3 3, 4 7 8, 6 0 1 1 1 2, 4 4 5 7 7 8 8 8, 7 0 3 5 7 9, 8 6 6 7

There are different methods to determine the number of data values in a dataset.

Looking at the stem-and-leaf graph, we can see that each digit represents a data point.

Counting the digits in each stem gives:

stem 5: 1 digit

stem 6: 5 digits

stem 7: 4 digits

stem 8: 3 digits

Summing the digits of each stem gives:

1 + 5 + 4 + 3 = 13

So there are 13 data values ​​in this dataset.

The simplest method is to count the number of data values by looking at the stem-and-leaf plot.

By counting the number of leaves in the plot, we can determine the number of data values in the dataset.

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Answer:

12.7 inches

Step-by-step explanation:

We know that the length of a diagonal is :

\(d=a\sqrt{2}\)

Here d = Diagonal of a square

a = Side of a square

Given:

The perimeter of a Square is 36 inches.

Since the formula for the perimeter of a square is 4a

Thus, 4a = 36

⇒ a = 36÷4 = 9 inches

Now,

d = 9×√2 = 12.7 inches

Hence the length of a square is 12.7 inches.

Answer:

The first option is correct

Step-by-step explanation:

Hope it is helpful....

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

7  iterations needed for order to be within 0.0078125 of the root in the given question

what is  iterations?

In mathematics, an iteration refers to the process of repeatedly applying a function to a variable to obtain a sequence of values. The idea is to start with an initial guess or approximation and then use the function to generate a new and hopefully better approximation, and then repeat the process until a desired level of accuracy is achieved.

what is  root?

In mathematics, refers to a value or a number that, when plugged into a mathematical equation, makes the equation true. In other words, a root is a solution to an equation. For example, the equation x² - 4 = 0 has two roots: x = 2 and x = -2, since plugging in either of these values makes the equation true.

In the given question,

Starting with the interval [2, 3], we can use the Intermediate Value Theorem to find a midpoint c such that f(c) = 0. We have:

f(2) = 2² - 5 = -1

f(3) = 3² - 5 = 4

So by the Intermediate Value Theorem, there exists a c between 2 and 3 such that f(c) = 0. We can then take the midpoint of [2, c] or [c, 3] as our next approximation. Let's choose to start with [2, c]. The midpoint of this interval is:

m₁ = (2 + c) / 2

We can check the sign of f(m1) to determine which half of the interval to continue with. If f(m1) is negative, then we know the root is in the interval [m₁, c]. If f(m₁) is positive, then we know the root is in the interval [2, m₁].

Interval [2, 3], midpoint c = 2.5, approximation m₁= 2.5

Interval [2, m₁], midpoint c = 2.25, approximation m₂ = 2.25

Interval [m₂, m₁], midpoint c = 2.375, approximation m₃ = 2.375

Interval [m₂, m₃], midpoint c = 2.3125, approximation m₄ = 2.3125

Interval [m₂, m₄], midpoint c = 2.28125, approximation m₅ = 2.28125

Interval [m₂, m₅], midpoint c = 2.265625, approximation m₆ = 2.265625

Interval [m₂, m₆], midpoint c = 2.2578125, approximation m₇ = 2.2578125

At this point, we have generated 7 approximations. To determine how many iterations are needed to be within 0.0078125 of the root, we can look at the width of the interval [m₂, m₇]. The width of this interval is:

width = m₇ - m₂ = 2.2578125 - 2.25 = 0.0078125

So we have achieved the desired level of accuracy in 7 iterations.

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Answer:

11+22, and 55+86

Step-by-step explanation:

11+22 = 33 which is odd

55+86 = 141 which is also odd

42+96 = 138 which is EVEN

Even is the opposite

of odd

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

The answer is:

The fourth option,

{s | s <90}

Step-by-step explanation:

yes

Answer:

\(\boxed{s|s<90}\)

Step-by-step explanation:

1/3s-6<24

Add 6 on both sides.

1/3s<30

Multiply both sides by 3.

s<90

Answer:

Length of one piece = 6 cm

Length of second piece = 16 cm

Step-by-step explanation:

Total Length of board = 22 cm

The board is divided into 2 pieces.

Let length of one piece = l

Length of second piece = 2l + 4

We need to find length of both pieces.

We can write the equation:

Total length = Length of one piece + Length od second piece

Putting values and finding length

\(22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=\frac{18}{3}\\l=6\)

So, we get l= 6

Length of one piece = l =6 cm

Length of second piece = 2l + 4 = 2(6)+4 = 12+4 = 16 cm

Therefore,

Length of one piece = 6 cm

Length of second piece = 16 cm

Answer:

Step-by-step explanation:

Answer:

See pic below.

Step-by-step explanation:

The opposite of 5 is -5.

Answer:

Step-by-step explanation:

-5n + 1 = -24

-5n = -25

n = 5

-3(5)= -15

Step-by-step explanation:

-5n+1 = -24

-5n = -25

n = 5

-3n = 5*-3

-3n = -15

The value of y for the given quadrilateral is 5.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals.

We know that the opposite sides of the quadrilateral have a sum of 180 degrees.

Thus,

23y + 13y = 180

36y = 180

y = 5

Hence, the value of y for the given quadrilateral is 5.

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Answer:

3x^3−24x−9

Step-by-step explanation:

The probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = 0.55.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The desired outcomes for this problem are given as follows:

There were 520 people in the research, hence the probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = (170 + 114)/520

P(C or T) = 0.55.

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Answer: I dont understand the answer that much but off of what i understand i think the answer is A

Step-by-step explanation: I am not sure but i think so

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer:

6 years

Step-by-step explanation:

We can use the formula for simple interest to solve this problem:

Simple Interest = Principal x Rate x Time

where Principal is the initial amount invested, Rate is the annual interest rate, and Time is the duration of the investment.

Let's plug in the given values:

$72 = $300 x 0.04 x Time

Simplifying this equation, we get:

Time = $72 / ($300 x 0.04)

Time = 6 years

Therefore, the account was open for 6 years.

Answer:

4

Step-by-step explanation:

f(-1)=-2(-1)+2

f(-1)=2+2

f(-1)=4

Answer:

Step-by-step explanation:

therefor the answer is 4

To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

Given expression,

Option B is correct.

Option A is correct.

Option D is correct.

Option C is correct.

(5x2 + 2x + 1) + (6x2 − 3x + 9) is equivalent to expression

B

(-3x2 + 6x − 12) + (5x + 9) is equivalent to expression

A

(8x + 16) − (3x2 − 3x − 15) is equivalent to expression

D

(5x2 + 23x − 7) − (x2 − 4x + 21) is equivalent to expression

C

Got it right on Edmentum

The width used for the car spaces are taken as a multiples of the width of

the compact car spaces.

Correct response:

Let x represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

3·a = 6

a = 6 ÷ 3 = 2

a = 2

Whereby the factor a < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

Which gives;

x·(10 + 12·a) < x·(16 + 9·a)

Therefore;

The initial total car park space is less than the space required for 16

compact spaces and 9 full size spaces, therefore; the store owners are

incorrect.

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