C. Find an equation in standard form of the ellipse that satisfies the given conditions. 4) Major axis length 8 on X-axis, minor axis length 6 5) Minor axis endpoints (±9,0). major axis length 24 6) The foci are (-3,2) and (-3,6); the major axis endpoints are (-3,0) and (-3,8) 7) The enpoints of one axis are (-3,-4) and (5,- 4) and of the other axis are (1,-2) and (1,-6) 8) The vertices are (2,3) and (2,9) and the foci are (2,4) and (2,8)

Answer:

x=√−y2+25 or x=−√−y2+25

Step-by-step explanation:

x2+y2=25

Step 1: Add -y^2 to both sides.

Step 2: Take square root.

Answer:

x=√−y2+25 or x=−√−y2+25

Answer:

40 bagels

Step-by-step explanation:

Let us assume that the cost of each bagel is $1.25

We need to find how many bagels she can buy for $50.

Let she can buy x bagels.

\(1.25\times x=50\\\\x=\dfrac{50}{1.25}\\\\x=40\)

Hence, she can buy 40 bagels for $50.

Answer:

Step-by-step explanation:

48/6 - 20/6 = 28/6 = 4  4/6 = 4  2/3

Answer:

4 2/3

Step-by-step explanation:

The variable "middle" in a binary search algorithm represents the index or position of the element that is being compared in each iteration of the search process.

In a binary search, the algorithm repeatedly divides the search space in half by comparing the middle element with the target value. The "middle" variable keeps track of the index or position of the element that is considered as the midpoint of the current search range.

During each iteration, the algorithm compares the target value with the element at the middle position. If the target value is equal to the middle element, the search is successful, and the algorithm returns the index of the middle element. If the target value is less than the middle element, the search continues on the left half of the search range, excluding the middle element. If the target value is greater than the middle element, the search continues on the right half of the search range, again excluding the middle element.

The "middle" variable is crucial in the binary search algorithm as it helps determine the boundaries of the search range for each iteration. By updating the middle position based on the comparison results, the algorithm efficiently reduces the search space in each step, resulting in a significant improvement in the search time compared to linear search algorithms.

Thus, the "middle" variable in a binary search algorithm represents the index or position of the element that serves as the midpoint of the current search range, allowing for efficient and systematic exploration of the search space.

Learn more about binary search algorithm here:

https://brainly.com/question/32194608

#SPJ11

Answer:

\(\frac{1}{36}\)

Step-by-step explanation:

Just multiply 4 and 8 to get 36

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.

Given data:

Now,

Let the number of weeks at which both read the equal number of volume be x.

Total number of volume be y

So,

For Eva: y = 4 + 2x

For Maria: 0 + 4x

Equating both equations:

4 + 2x = 4x

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Number of volumes read by each girl:

For Eva: y = 4 + 2(2)= 8

For Maria: 0 + 4(2) = 8

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Know more about the slope of function:

https://brainly.com/question/12339452

#SPJ1

The height of an acute triangle can be calculated using the Pythagorean Theorem. The formula for this theorem is a2 + b2 = c2, where a and b are the two legs of a right triangle and c is the hypotenuse.

To find the height of an acute triangle, we must first identify the two legs of the triangle. The length of the two legs can be determined by measuring the lengths of the three sides of the triangle. Once we have the lengths of the two legs, we can apply the Pythagorean Theorem to calculate the length of the hypotenuse.

Once the length of the hypotenuse is determined, we can use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle. This formula states that the square of the height of the triangle is equal to the square of the hypotenuse minus the square of the two legs. So, to find the height of an acute triangle, we first measure the lengths of the three sides, then use the Pythagorean Theorem to calculate the hypotenuse, and finally use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle.The height of an acute triangle can be calculated using the Pythagorean Theorem. The formula for this theorem is a2 + b2 = c2, where a and b are the two legs of a right triangle and c is the hypotenuse. To find the height of an acute triangle, we must first identify the two legs of the triangle. The length of the two legs can be determined by measuring the lengths of the three sides of the triangle. Once we have the lengths of the two legs, we can apply the Pythagorean Theorem to calculate the length of the hypotenuse.

Once the length of the hypotenuse is determined, we can use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle. This formula states that the square of the height of the triangle is equal to the square of the hypotenuse minus the square of the two legs. So, to find the height of an acute triangle, we first measure the lengths of the three sides, then use the Pythagorean Theorem to calculate the hypotenuse, and finally use the formula h2 = c2 - a2 - b2 to calculate the height of the triangle.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/28361847

#SPJ4

Answer: -12

Step-by-step explanation:

0.5(x+6) = 1 + 0.25(x-4)

0.5x + 0.5×6 = 1+ 0.25x - 0.25×4

0.5x - 0.25x = 1 - 1 -3

0.25x = -3

x = -12

is 16 m2 for the answer hope this works

Answer:

- \(\frac{1}{2}\)  

Step-by-step explanation:

1) 16

2) 16 ÷ ( - 2) = - 8

3) - 8 ÷ ( - 2) = 4

4) 4 ÷ ( - 2) = - 2

5) - 2 ÷ ( - 2) = 1

6) 1 ÷ ( - 2) =  - \(\frac{1}{2}\)

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

Learn more about the mid-point theorem of triangle at

https://brainly.com/question/9635025

#SPJ1

The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Answer:

Cost price=100%

Step-by-step explanation:

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

To know more about outlier refer here:

https://brainly.com/question/26958242#

#SPJ11

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

Learn more about chord, here:

brainly.com/question/20969446

#SPJ11

Answer:

51

it says UVW congruent to EFC

each letter here shows you where they match

u and e matches

v and f matches

w and c matches

look for the order they put the letters and they will match their corners

they are asking for FEC

the middle letter tells you the corner they are looking for, which is corner E

since E and U match, E must be 51 ° just like U

An exponential function is y = 0.5ˣ.

What is an exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Here, we have

Given: (-2,4) & (1,0.5)

We have to find an exponential function.

An exponential function is in the general form

y = a(b)ˣ

We know the points  (-2,4) & (1,0.5)  so the following is true:

4 = a(b)⁻².....(1)

0.5 = ab.....(2)

From equation(1), we get

4 = a/b²

4b² = a

Now we put the value of a in equation(2) and we get

0.5 = b(4b²)

0.5/4 = b³

b = 0.5

If b = 0.5 then the value of a is:

0.5 = a(0.5)

a = 1

Giving us the equation:

y = 1(0.5)ˣ

y = 0.5ˣ

Hence, an exponential function is y = 0.5ˣ.

To learn more about the exponential function from the given link

https://brainly.com/question/2456547

#SPJ9

Answer: 36in squared

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

To find the area of a shape, multiple the two sides, length * width in this case 6*6 is 36.

Answer:

4/7

Step-by-step explanation:

Let's start by moving like terms to one side. Remember that when you change the side of a term, the sign flips.

-5x-2x=-3-1

-7x=-4

Divide both sides by -7

x=4/7

I think the answer is........

-5x+3=2x-1

-5x-2x=-1-3

-7x= -4

-7x/-7=-4/-7

x=4/7

Answer:

1.625 (1 5/8)

Side 1-4

Step-by-step explanation:

The expression that represents the orders is 12 * (5 + 3.5)

From the question, we have the following parameters that can be used in our computation:

The above parameters mean that:

Expression for Sean's purchase = Number of cupcakes in a box * (Number of boxes ordered for his sister’s graduation party + Number of boxes ordered for the Variety Show party)

Substitute the known values in the above equation, so, we have the following representation

Expression for Sean's purchase = 12 * (5 + 3.5)

Hence, the expression is 12 * (5 + 3.5)

In (a), we have

Expression = 12 * (5 + 3.5)

Evaluate the sum

Expression = 12 * 8.5

Evaluate

Expression = 102

This means that the total number of box is 102

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

Complete question

A baker packages 12 cupcakes to a box. Sean orders 5 boxes for his sister’s graduation party and 3.5 boxes for the Variety Show party. Write an expression that shows the calculations you could use to find the number of cupcakes Sean orders.

Write a different expression to model sean's order.eveluate not expressions to check that they are equivlent .How many cupcakes does sean have

Answer:

A

Step-by-step explanation:

The simplification of (4a5b6)4 is (256a²⁰b²⁴)

Indices is a concept in mathematics that emphasis how many times a number is raised to a power or multiplied by itself.

Here, we are given (4a⁵b⁶)⁴

Then, we have:

= (4a⁵b⁶)⁴

\(\mathbf{=(4^4(a^{5\times 4}b^{6\times 4})}\)

We will multiply each term in the bracket by the power of 4.

= (256a²⁰b²⁴)

Learn more about indices here:

https://brainly.com/question/10563917?referrer=searchResults

Answer:

256a^{20}b^{24}

Step-by-step explanation:

I got it right on the quiz! hope it helps!

#MRS

Answer:

B

Step-by-step explanation:

Answer:

B.) 17

Step-by-step explanation:

To determine Poisson's ratio, you need to measure strain along two different directions during testing.Poisson's ratio (ν) is a material property that describes the relationship between the lateral strain and the axial strain in a material when it is subjected to uniaxial stress.

Here's an explanation including the key terms:
Poisson's ratio (ν) is a material property that describes the relationship between the lateral strain and the axial strain in a material when it is subjected to uniaxial stress. In simpler terms, it tells you how much a material will deform in one direction when it is stretched or compressed in another direction.
To calculate Poisson's ratio, you need to measure strain along two different directions. The first direction is the axial direction, which is parallel to the applied force. This is known as axial strain (εa). The second direction is perpendicular to the axial direction, and this is called lateral strain (εl).
Poisson's ratio is calculated using the following formula:
ν = - (εl / εa)
To determine Poisson's ratio during testing, follow these steps:
Apply a uniaxial stress to the material, either through compression or tension.
Measure the axial strain (εa) along the direction of the applied force. This is typically done using a strain gauge or similar device.
Measure the lateral strain (εl) in a direction perpendicular to the applied force. This can also be done using a strain gauge.
Calculate Poisson's ratio (ν) by dividing the negative of the lateral strain (εl) by the axial strain (εa).
By measuring strain along these two directions and applying the formula, you can accurately determine the Poisson's ratio for the material being tested.

for more questions on axial strain

https://brainly.com/question/13083954

#SPJ11

Kevin earning at least $504 implies that he wants to earn $504 or more

The inequality representing the scenario is \(12x + 14y \ge 504\)

The given parameters are:

Earnings = At least $504

Food delivering = $12 per hour

Retail = $14 per hour

Represent the number of hours delivering food with x, and the retail work with y.

So, the earning is:

Earning = 12x + 14y

The earning is at least $504.

So, we have:

\(12x + 14y \ge 504\)

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/25275758

Let

y -----> number of quarters

x ----> number of dimes

we have that

the inequality that represents this situation is

Remember that

1 quarter =$0.25

1 dime=$0.10

so

rewrite the variables

see the attached figure to better understand the problem

Part 4b

The solution of the given inequality is the shaded area above the solid line 0.25q+0.10d=8.50

A solution to this inequality could be the point (50,50)

that means

the number of quarters is 50 and the number of dimes is 50

the ordered pair must satisfy the inequality

Verify

Part 4c

we have that

d=25 dimes

substitute in the inequality and solve for q

so

solve for q

the number of quarters must be greater than or equal to 24

Answer:

Step-by-step explanation:

x^2.x^1

=9^2.9^1

= 9 multiplied by 9

=81

9 multiplied by 1

=9

81 multiplied by nine

=585.198599

Answer:

$8874

Step-by-step explanation:

At the end of the first year, Terrence's car depreciated by 15%.  We can calculate the resulting value with the expression ($20,000)(1 - 0.15) = $17000.  The end of the second year is another 15% reduction, on the already lower value.  For x years, we can write an expression that gives the new value at the end of the year:

f(x) ($20,000)(1 - 0.15)^x

After 5 years the new value would be ($20,000)(1 - 0.15)^5

($20,000)(1 - 0.15)^5 = 8874.11 or $8874