Mrs Fernandez has a total of 156 red and blue roses.After selling the same number of red and blue roses, she had 1/3 of the number of red roses and 2/9 of the number of blue roses left. How many red roses did she have at first?

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



learn more about geometric series here here

https://brainly.com/question/30264021



#SPJ11

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

To know more about superposition, visit,

https://brainly.com/question/29518396

#SPJ4

Red Circle:

First find the diameter

We can do that by counting the squares

Diameter:4

The radius is half of the diameter

4/2=2

Radius of the Red Circles:2

Blue Circle:

Diameter: 2

2/2=1

Radius of the Blue Circle:1

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

To know more about Investor, visit

brainly.com/question/29797771

#SPJ11

Since the circuit learning helps us remember and memorize a ton of information that we can use for us in the future, I think it can be very helpful.

As an engineer, for instance, or in any other position that will allow you to use your brilliant ideas to make money, you can use your knowledge of circuit learning to your advantage.

I will have many ideas for my future career and business, as well as ways to make a great deal of money, when I use circuit learning in the future.

At a public tertiary institution, a cutting-edge teaching method called circuit learning is employed. It focuses on specific observations of how the students interacted with this innovative teaching method and how the teachers assessed its effectiveness in enhancing the learning opportunities for low proficiency students enrolled in a Foundation English course.

An example is that when we know about circuit learning, you will have creative ideas you can use as an engineer, or any other good job that will help you earn money with your awesome ideas.

Learn more about learning on:

https://brainly.com/question/28229546

#SPJ1

The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To learn more about product rule visit:

brainly.com/question/29198114

#SPJ11

Answer: Mood

Step-by-step explanation: It would be mood because when you put it in a sentence it makes the most sense.

Example Sentence: The atmosphere of the room is sad.

The mood of the room is sad.

The other answers don't make as much sense. Hope this helps!

The term that is a synonym for the word, "atmosphere" is: mood.

Synonyms are terms that are used in place of another word to mean the almost the same thing in a similar context.

Atmosphere describes the mood of a place.

For example, "the football arena had a friendly, welcoming atmosphere". "Mood" can be used here too.

Therefore, the term that is a synonym for the word, "atmosphere" is: mood.

Learn more about synonyms on:

https://brainly.com/question/869158

Answer: 12.12 m

Step-by-step explanation:

Given

length of ladder L=14 m

the ladder makes an angle of \(\theta=30^{\circ}\) with the building

With the help of a diagram, we can write

\(\cos \theta=\frac{\text{h}}{\text{L}}\)

\(\cos 30^{\circ}=\frac{h}{14}\)

\(h=14\cos 30^{\circ}\)

\(h=12.12\ m\)

The probability that Jorge has won at least one prize after seven days is approximately 62.4%.

To find the probability that Jorge has won at least one prize after seven days of buying lottery tickets with a probability of 0.2 for each ticket, we can use the concept of complementary probability.
The probability of not winning a prize on any given day is 1 - 0.2 = 0.8.
Since Jorge is buying tickets for seven days, the probability of not winning a prize for all seven days is 0.8^7.
Therefore, the probability of winning at least one prize after seven days is 1 - 0.8^7.
Calculating this, we get 1 - 0.8^7 ≈ 0.624 or approximately 62.4%.
So, the probability that Jorge has won at least one prize after seven days is approximately 62.4%.

To know more about probability, visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

c and e

Step-by-step explanation:

Option B is correct, 2×(5+6)=2×5 + 2×6 is the equation which use the distributive property correctly to multiply rational numbers

A number system is defined as a system of writing to express numbers.

The distributive property in multiplication states that when a number is multiplied by the sum or difference of two numbers, then the first number can be distributed to both of those numbers with the relevant sign.

a×(b+c)=a×b + a×c

This is the distributive property for multiply rational numbers

2×(5+6)=2×5 + 2×6

Hence, option B is correct, 2×(5+6)=2×5 + 2×6 is the equation which use the distributive property correctly to multiply rational numbers

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

Answer: Try this:

Step-by-step explanation:

798 rounded to one sig. fig. = 800.

8 is already just one sig. fig.

41 rounded to one sig fig. Is 40.

800/8x40

800/320 = 2.5.......

Rounded to one sig fig. =3

Or if you left the entire equation as is and just rounded the answer to 1 sig. fig.

798/(8x41) = 2.4329.......

rounded to one sig fig =2

Without knowing what specifically the question wants estimated to one significant figure, there could be multiple answers.

The estimate of the equation to one significant figure is 2.

Significant figures are the digits in a number that is significant and required to denote a value and also add to the correctness of that value.

The way we will solve this equation is to first determine the final value and then approximate it to 1 significant figure.

\(\mathbf{= \dfrac{798}{8 \times 41}}\)

= 2.4329

≅ 2 (to one significant figure)

Learn more about significant figures here:
https://brainly.com/question/24491627

#SPJ6

Answer:

$12

Step-by-step explanation:

C0-starting price

C1-price after discount

P- precentage

C1=C0-P/100*C0

C1=20-40/100*20

C1=20-8

C1=12

Answer:

A square root parent function

Step-by-step explanation:

Answer:

4 in 5 days

Step-by-step explanation:

Answer:

11 : 4 or 11/4

Step-by-step explanation:

Haley buys 8 apples $3 and 3 bananas for $1.

The total amount she spent is:

3 + 1 = $4

The total number of fruits she bought is:

8 + 3 = 11

The ratio of the total number of pieces of fruits that she buys to the total number of dollars spent is:

11 : 4

It can also be written in fraction form as:

11 / 4

(220,10)

Step-by-step explanation:

This reminds me of when I was in middle school

Answer:

(110, 135)

Step-by-step explanation:

From the coordinates given, the shape of the ceiling is a rectangle.

Width = difference in x-coordinates = 220 - 0 = 220

Length = difference in y-coordinates = 260 - 10 = 250

To find the center of the ceiling, we need to find the centroid (center-point) of the rectangle.

x-coordinate = Half of the width + smallest x-coordinate= (220 ÷ 2) + 0 = 110

y-coordinate = Half of the length + smallest y-coordinate = (250 ÷ 2) + 10 = 135

Therefore, the center of the ceiling is at (110, 135)

The volume of a cylinder with a height of 5 centimeters is indeed directly proportional to the square of the radius of the base of the cylinder with a constant of proportionality of 5.

Let's use the symbols 'r' and 'V' to represent the cylinder's volume and base radius in the example.

The volume of the cylinder, according to the issue, is inversely proportional to the square of the radius. We can mathematically represent this relationship as follows:

where 'k' denotes the proportionality constant.

Given that the proportionality constant is 5, the following equation results:

Now, assuming the cylinder's height is 5 centimetres, we may determine its volume using the following formula:

The volume equation we derived before and the height value of 5 centimetres are substituted, and the result is:

By dividing the two sides,

as follows: 5 = 5

provided that this equation is valid, the provided

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

STEP - BY - STEP EXPLANATION

What to find?

The new the new account balance after 9 months.

Given:

Principal (p) = $20 000

Rate(R) = 8

Time(t) = 9 months = 9/12 year = 0.75 years.

We will solve the given problem using the steps below:

Step 1

State the formula that will be use to solve the problem.

Where I is the interest.

Step 2

Substitute the values into the formula.

Hence, interest(I) = $1200

But;

Amount = principal + Interest

= 20 000 + 1200

=21200

Therefore, the account balance after 9 months is $21200

ANSWER

$21200

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

There is evidence of a statistically significant difference in the yields between fertilizer A and fertilizer B (0.01 < p < 0.05).

Step-by-step explanation:

Answer:

a) C = 75n +60

b) see graph

c) 210

Step-by-step explanation:

75 n -C + 60 = 0

Add C to each side

75 n -C + 60  + C = 0+C

75 n  + 60 = C

Rewritng

C = 75n +60

This is in slope intercept form where y = mx+b

75 = m and 60 =b

See the graph

The slope is 75 and the y intercept is (0,60)

The scale is 1 on the n axis  ( time) and 100 on the C axis (cost)

Let n be two hours

Cost = 75(2) +60

        =150 +60

          =210

The area of the circle with a Diameter of 36 inches,  π = 3.14, is 1017.36 square inches.

The surface area of one mini muffin and multiply it by 6. The surface area of a cylindrical mini muffin can be calculated as 28 and 2/7 square inches. Multiplying by 6, we get a total of 169 and 1/7 square inches. Approximating the answer, we get 169 and 1/7 169.14 square inches.  the correct answer is 169 and 1/7 square inches.      

The area of the enlarged map, we need to scale up the dimensions of the state of Colorado by the scale factor of 2.5.

The length of the enlarged map would be 4 cm * 2.5 = 10 cm.

The width of the enlarged map would be 3 cm * 2.5 = 7.5 cm.

Area = length * width

Area = 10 cm * 7.5 cm

Area = 75 cm²

Therefore, the area of the enlarged map is 75 cm².

The area of a circle can be calculated using the formula:

Area = π * (radius)^2

the diameter of the circle is 36 inches, we can find the radius by dividing the diameter by 2:

Radius = 36 inches / 2 = 18 inches

Now, we can calculate the area using π = 3.14:

Area = 3.14 * (18 inches)^2

    = 3.14 * 324 square inches

    = 1017.36 square inches

the area of the circle with a diameter of 36 inches, using π = 3.14, is 1017.36 square inches.

To know more about Diameter .

https://brainly.com/question/30460318

#SPJ11

Answer:

16=24

Step-by-step explanation:

The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24

Answer:

3

Step-by-step explanation:

15 is divisible by 3, 3 × 5 = 15. Then of course 1 and 15 no other ones. 1,3,5,15

39 is divisible by 3, 3× 13 = 39, then 1 and 39. 1,3,13,39

The only common factors are 1 and 3, and since 3 is greater that is the greatest common factor.

Hope that helps! Let me know if you have any further questions.

The greatest common factor shared by numbers 39 and 15 is 3.

Given two numbers, 39 and 15.

The greatest common factor can be defined as the factor which is common to both 39 and 15 and is the greatest of all those common factors of 39 and 15.

First, list out the factors of 39 and 15.

Factors of 39 = 1, 3, 13, 39

Factors of 15 = 1, 3, 5, 15

The only factor which is common to both 39 and 15 is 3.

So, the greatest common factor of both is 3.

Learn more about Greatest Common Factors here :

https://brainly.com/question/29584814

#SPJ6

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

Learn more about probability here:

https://brainly.com/question/14210034

#SPJ11

I think it's answer this .

Answer:

?

Step-by-step explanation:

Answer:

Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.

Hope this Helps :)

Personal experience generates firsthand knowledge that is derived from an individual's direct involvement or observation of a particular event, situation, or phenomenon. This type of sample is unique to each person and provides a subjective understanding of the subject matter.

Personal experience is an essential source of learning and understanding as it allows individuals to gain insight, develop skills, and form opinions based on their own encounters. It can provide a deep understanding of emotions, perspectives, and nuances that cannot be fully grasped through secondhand information. Personal experiences are often considered valuable as they offer authenticity and a sense of relatability, enabling individuals to connect with others on a personal level. Additionally, personal experiences can serve as a foundation for personal growth and development, shaping one's beliefs, values, and decision-making processes.

learn more about decision-making here

brainly.com/question/28900762

#SPJ11