Tina and Rati had an equal amount of money at first. Tina spent $20 and Rita received $50 from her father. If Rita now has thrice as much as Tina, how much did Tina have at first

Given the following equation:

Let's determine t at S = 9.

We get,

a = 1, b = -15 and c = 50

Apply the quadratic formula:

Therefore, the earliest month will be either the 5th or 10th month.

Among the given choices, only the 10th month is in the choices.

Therefore, the answer is CHOICE B : 10th

Answer:

- 1.73205080757    - 1.57079632679   3/8  2.64575131106

Step-by-step explanation:

Answer: -square root 3, -pie/2 , then 3/8 square root 7.

The relation "r" defined on the set of people, where xry if x is older than y, is not a partial ordering. The first paragraph will provide a summary of the answer, and the second paragraph will explain why the relation fails to satisfy the properties of a partial ordering.

Reflexivity: For every person x, x must be older than or equal to themselves. In this case, the relation holds true since a person is always older than or equal to themselves.

Antisymmetry: If x is older than y and y is older than x, then x and y must be the same person. However, in this case, the relation does not satisfy antisymmetry because two different people can have different ages. For example, person A can be older than person B, and person B can be older than person C, but person A and person C can still be different individuals.

Transitivity: If x is older than y and y is older than z, then x must be older than z. In this case, the relation satisfies transitivity since if person A is older than person B and person B is older than person C, then person A is older than person C.

Learn more about Antisymmetry here:

https://brainly.com/question/14142481

#SPJ11

The new value = 340 + (19% × 340)

The actual change = The new value - 340

"Information available from the question"

340 increased by 19%

To write in mathematically:

The value of the percentage increase = 19% × 340

The new value = 340 + The value of the percentage increase

The new value = 340 + The value of the percentage increase

= 340 + (19% × 340)

= 340 + 19% × 340

= (1 + 19%) × 340

= (100% + 19%) × 340

= 119% × 340

= 119 ÷ 100 × 340

= 119 × 340 ÷ 100

= 40,460 ÷ 100

= 404.6

The actual change = The new value - 340

                              = 404.6 - 340

                              =  64.6

Learn more about Percentage at;

https://brainly.com/question/26097851

#SPJ4

The solution to these equations is x = y. Choosing y = 1, we get the eigenvector v2 = [1, 1].

the basis B = {[1, -1], [1, 1]} satisfies the condition that [T]B is diagonal.

To find a basis B for R^2 such that [T]B is diagonal, we need to find two linearly independent vectors that are eigenvectors of the matrix A.

First, we find the eigenvalues of A by solving the characteristic equation det(A - λI) = 0, where I is the 2x2 identity matrix:

| 1 - λ -2 |

| -2 1 - λ | = (1 - λ)(1 - λ) - (-2)(-2) = \((1 - λ)^{2}\) - 4 = 0

Expanding and simplifying the equation, we get:

(1 - λ)^2 - 4 = 0

(1 - λ - 2)(1 - λ + 2) = 0

(3 - λ)(-1 + λ) = 0

So, the eigenvalues are λ = 3 and λ = -1.

Next, we find the corresponding eigenvectors by solving the equations (A - λI)v = 0 for each eigenvalue.

For λ = 3, we have:

(1 - 3)x - 2y = 0

-2x + (1 - 3)y = 0

Simplifying the equations, we get:

-2x - 2y = 0

-2x - 2y = 0

The solution to these equations is x = -y. Choosing y = 1, we get the eigenvector v1 = [1, -1].

For λ = -1, we have:

(1 + 1)x - 2y = 0

-2x + (1 + 1)y = 0

Simplifying the equations, we get:

2x - 2y = 0

-2x + 2y = 0

Learn more about eigenvalues here:

https://brainly.com/question/29861415

#SPJ11

The length of the rectangle = 8 inches

The width of the rectangle, w = 15 inches

The diagonal, d = 17 inches

The length of the rectangle, l = ?

The diagram is drawn below

The diagonal of the rectangle forms a right triangle with the width and the length. Therefore, the length will be found using the Pythagora's theorem

The length of the rectangle = 8 inches

Answer:

Step-by-step explanation:

The roots are:

The polynomial is:

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

To learn more about partial derivatives click here : brainly.com/question/28750217

#SPJ11

Answer:

256 ft²

Step-by-step explanation:

\(SA=2(lw+lh+wh)\) where l is length and w is width and h is height

Plug in the given information

\(SA=2(5*4+5*12+4*12)\\SA=2(20+60+48)\\SA=2(80+48)\\SA=2(128)\\SA=2(128)\\SA=256\)

Therefore, the surface area of the rectangular prism is 256 ft².

I hope this helps!

Answer:

We know that

SA = 2(lw + wh + lh)

SA = 2[(5 × 4) + (4 × 12) + (5 × 12)]

SA = 2[20 + 48 + 60]

SA = 2[128]

SA = 256 ft²

\( \\ \)

Answer:

Olivia-2.25

Step-by-step explanation:

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

To compare the speeds of Maggie and Olivia, we can calculate their respective rates using the formula:

rate = distance/time

For Maggie:

distance = 1/4 mile

time = 1.3 minutes

rate = (1/4) / 1.3 = 0.1923 miles/minute

For Olivia:

distance = 2/3 mile

time = 2.9 minutes

rate = (2/3) / 2.9 = 0.2293 miles/minute

Therefore, Olivia runs faster than Maggie.

To find out how much faster Olivia runs per hour, we can convert her rate to miles per hour:

0.2293 miles/minute x 60 minutes/hour x 60 seconds/minute

= 13.758 miles/hour

Similarly, we can convert Maggie's rate to miles per hour:

0.1923 miles/minute x 60 minutes/hour x 60 seconds/minute

= 11.538 miles/hour

The difference in their speeds is:

13.758 - 11.538

= 2.22 miles/hour

So,

Olivia runs 2.22 miles/hour faster than Maggie.

Thus,

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ3

Answer:

-4

Step-by-step explanation:

\(\begin{pmatrix}a&3\end{pmatrix}=\begin{pmatrix}-4&3\end{pmatrix}\)

If the second term is equal, 3 = 3 and the whole matrices are equal,

that means the first terms are equal.

Hence, \(a=-4\)

Step-by-step explanation:

there should 90 value

the value of triangle is 90

Answer:

area = 8.03

Step-by-step explanation:

\(area= \frac{ab\sin\C}{2}\)

Answer:

the small pillows costed $20 and the large pillows costed $45

Step-by-step explanation:

this can be set up were x= price of small pillows and y=price of large pillows

according the the question, 265=2x+5y and 635=7x+11y

so now solve this system of equations:

first solve 265=2x+5y for x

add -2x to both sides

-2x+265=5y

add -265 to both sides

-2x=5y-265

divide both sides by -2

x=(-5/2)y+(265/2)

substitute this value of x in 635=7x+11y and solve for y

635=7((-5/2)y+(265/2)) +11y

y=45

substitute 45 for y in x=(-5/2)y+(265/2)and solve for x

x=20

so the small pillows are $20 and the large are $45

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

A 12-sided polygon that encloses space is called a dodecagon. Regular dodecagons have equal internal angles and sides on all faces. They could also be asymmetrical, with various angles and sides that differ in size. A convex dodecagon is one that has no vertex pointing inward and no interior angles higher than 180 degrees.

Area of a regular dodecagon when side is given

A = 3 × ( 2 + √3 ) × s² ,

Area of a regular dodecagon when side radius is given:

Area = π*r²

Given data: radius r = 3.4 units

Area = 3.14 * 3.4²

Area = 3.14 * 11.56

Area = 36.2984 sq. units

Thus, the area of the dodecagon having a radius of 3.4 units is ofund as :

Area = 36.2984 sq. units.

Know more about the dodecagon

https://brainly.com/question/13868282

#SPJ1

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

The equation is given as follows:

\(f(l) = 2\pi\frac{l}{32}\)

In which l is the length of the pendulum.

In this problem, we have that \(f(l) = 2.4\pi\), hence:

\(f(l) = 2\pi\frac{l}{32}\)

\(2.4\pi = 2\pi\frac{l}{32}\)

l = 32 x 1.2

l = 38.4 ft.

More can be learned about equations at https://brainly.com/question/25537936

#SPJ4

Answer:

c

Step-by-step explanation:

just did it

Revenue is a calculation or estimation of periodic profits primarily based totally on a particular popular accounting practice or the policies mounted via way of means of a central authority or authorities agency.

The required details for revenue in given paragraph.

What is revenue?

Revenue is simply the profit you earn from your business

Solution;

The number of positive revenues were generated is 6 years

The number of negative revenues were generated in 3 years

smallest revenues were in 2013

Largest revenue was generated in 2020

Actually we are just comparing the data from all previous years and we are also comparing the revenues from them so that we can analyze them and do accounting further

accordingly to multiply the revenues

To learn more about revenues:

https://brainly.com/question/8645356

#SPJ1

If the nth term of an arithmetic progression - ap is 4n + 1, then it's  third term is 13

The term in the third is solved using the rule of the sequence

The the formula for the nth term as

= 4n + 1

for n = position of term = 3

solving for the third term

= 4n + 1

substituting known variables

= 4 * 3 + 1

= 12 + 1

= 13

the third term of the sequence is 13

Learn more arithmetic sequence at:

https://brainly.com/question/29777843

#SPJ1

Answer:

8

Step-by-step explanation:

:) hope it helps

Answer:

A

Step-by-step explanation:

4(y+4)=48

4y +16 =48

48-16=4y

32=4y

y=32/4

y=8

Answer:

A. 8

Step-by-step explanation:

4(y+4)=48

(y+4)=48/4

y+4=12

y=12-4

y=8

HOPE THIS HELPS

The probability that all 10 flights were on time is 0.0563, the probability that exactly eight of the flights were on time is 0.2502, and the probability that eight or more of the flights were on time is 0.6346.

Question: At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied.

a. Find the probability that all 10 of the flights were on time.
b. Find the probability that exactly eight of the flights were on time.
c. Find the probability that eight or more of the flights were on time.

a. To find the probability that all 10 of the flights were on time, we need to multiply the individual probabilities of each flight being on time. Since each flight has a 75% chance of being on time, we multiply 0.75 by itself 10 times.

Probability that all 10 flights were on time = 0.75^10 = 0.0563 (approximately)

b. To find the probability that exactly eight of the flights were on time, we need to consider the different ways this can happen.

There are 10 flights in total, and we want exactly 8 of them to be on time. This can occur in different arrangements, so we need to calculate the probability for each arrangement and add them up.

To calculate the probability for each arrangement, we need to consider the probability of the flights being on time (0.75) and the probability of the flights not being on time (1 - 0.75 = 0.25).

Using the binomial probability formula, the probability of exactly 8 flights being on time can be calculated as:
Probability = (10C8) * (0.75)^8 * (0.25)^2
10C8 represents "10 choose 8," which calculates the number of ways to choose 8 flights out of 10.

Simplifying the calculation:
Probability = (10!)/(8! * (10-8)!) * (0.75)^8 * (0.25)^2
Probability = 45 * (0.75)^8 * (0.25)^2 = 0.2502 (approximately)

c. To find the probability that eight or more of the flights were on time, we need to sum up the probabilities of exactly 8, exactly 9, and exactly 10 flights being on time.

Using the same binomial probability formula as in part b, we calculate the probability for each number of flights being on time and sum them up.

Probability of exactly 8 flights being on time = (10C8) * (0.75)^8 * (0.25)^2
Probability of exactly 9 flights being on time = (10C9) * (0.75)^9 * (0.25)^1
Probability of exactly 10 flights being on time = (10C10) * (0.75)^10 * (0.25)^0 (which is equal to 1)

Then, we sum up these probabilities:

Probability of eight or more flights being on time = Probability of exactly 8 + Probability of exactly 9 + Probability of exactly 10

Probability = (10C8) * (0.75)^8 * (0.25)^2 + (10C9) * (0.75)^9 * (0.25)^1 + (10C10) * (0.75)^10

Probability = 0.2502 + 0.3281 + 0.0563 = 0.6346 (approximately)

Therefore, the probability that all 10 flights were on time is 0.0563, the probability that exactly eight of the flights were on time is 0.2502, and the probability that eight or more of the flights were on time is 0.6346.

To know more about probability refer here:

https://brainly.com/question/12905909

#SPJ11

If Miguel has saved $1,496 so far, and the cost of the car is $3,400, then Miguel has saved 44% of the total cost of the used car.

To find the percent Miguel has saved towards the used car, you can use the following equation:
Percent saved = (Amount saved / Total cost) × 100

Here, the total cost of the car is $3,400 and Miguel has saved $1,496 so far. Plug these values into the equation:

Percent saved = ($1,496 / $3,400) × 100
Now, divide $1,496 by $3,400:
Percent saved = (0.44) × 100
Finally, multiply the result by 100 to get the percentage:
Percent saved = 44%

So, Miguel has saved 44% of the total cost of the used car.

To learn more about percentages visit : https://brainly.com/question/24877689

#SPJ11

The values of the trigonometric functions ;

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Given cos (theta) = -5/6, and tan (theta) < 0, we can find sin(theta), cos(theta), tan(theta), csc(theta), and sec(theta).

First, we can use the fact that cot(theta) = cos(theta)/sin(theta) to find sin(theta) and cos(theta).

Next, we can use the fact that sin(theta) = cos(theta) to find the values of

Since cos (theta) = 15, we can write it as cos (theta) = adjacent/opposite, where adjacent = 15 and opposite = 1 (since cotangent is the reciprocal of tangent).

Using the Pythagorean theorem, we can find the hypotenuse:

adjacent= √(hypotenuse ² + opposite²) = √(6² - 5²) = √11

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Learn more about trigonometric functions here: brainly.com/question/6904750

#SPJ12

Answer: F. The pencils at store A cost more.

Step-by-step explanation: here is the answer key

a) To calculate the average acceleration, simply apply the acceleration formula explained above. In such a way that we will have:

\(\boldsymbol{a=\dfrac{V_{f}-V_{o }}{t}=\dfrac{9 \ m/s-5 \ m/s}{9 \ s}=1 \ m/s^{2} }\)

Now let's move on to calculating the distance traveled, remember that here there is an initial speed, so we must be careful when choosing our formula.

b) Applying the correct formula:

\(\boldsymbol{d=V_{o}t+\dfrac{at^{2} }{2 } }\)

Substituting our data into the formula:

\(\boldsymbol{d=V_ot+\dfrac{at^{2} }{2}=\left(5 \ \dfrac{m}{\not{s}}\right)(4 \not{s})+\dfrac{\left(1 \ \frac{m}{\not{\not{s^{2}} }}(4\not{s})^{2} }{2 }=20 \ m+\dfrac{16 \ m}{2}=28m}\)

So we will have 28 meters traveled

a) The probability of exactly 2 flaws in 1 millimeter of wire is approximately 0.2645.

b)  There is no positive constant c that satisfies all the properties of a cumulative distribution function.

(a) The probability of exactly 2 flaws in 1 millimeter of wire is given by the Poisson probability mass function:

P(X = 2) = (e^(-λ) * λ^x) / x!

where λ = 2.3 and x = 2.

Substituting these values, we get:

P(X = 2) = (e^(-2.3) * 2.3^2) / 2! = 0.2645 (rounded to four decimal places)

Therefore, the probability of exactly 2 flaws in 1 millimeter of wire is approximately 0.2645.

(b) The probability of at most 2 flaws in 5 millimeters of wire is given by the cumulative distribution function of a Poisson distribution with mean λ = 5*2.3 = 11.5:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= (e^(-11.5) * 11.5^0) / 0! + (e^(-11.5) * 11.5^1) / 1! + (e^(-11.5) * 11.5^2) / 2!

= 0.0086 + 0.0495 + 0.1420

= 0.2001 (rounded to four decimal places)

Therefore, the probability of at most 2 flaws in 5 millimeters of wire is approximately 0.2001.

(c) The cumulative distribution function F(x) is given by:

F(x) = c(8x^2 – 3x), 0 <= x <= 2

Since F(x) is a cumulative distribution function, it satisfies the following properties:

F(x) is non-negative for all x

F(x) is non-decreasing as x increases

Lim x->-∞ F(x) = 0 and Lim x->+∞ F(x) = 1

Using these properties, we can solve for the constant c:

Lim x->-∞ F(x) = 0 => c(8*(-∞)^2 – 3*(-∞)) = 0 => c = 0

Lim x->+∞ F(x) = 1 => c(8*(+∞)^2 – 3*(+∞)) = 1 => c = 0 (since 8*(+∞)^2 is much larger than 3*(+∞))

Therefore, there is no positive constant c that satisfies all the properties of a cumulative distribution function.

Hence, the given function cannot be a cumulative distribution function.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

This is the answer to your problem

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

The equation to show the relationship between x and y is y = 0.08x, where y is the amount of sales tax in dollars for the item and x is the cost of the item in dollars before tax.

Tax is a compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures. A failure to pay, along with evasion of or resistance to taxation, is punishable by law. Taxes consist of direct or indirect taxes and may be paid in money or as its labour equivalent. Most countries have a tax system in place to pay for public, common or agreed national needs and government functions. Some levy a flat percentage rate of taxation on personal annual income, but most scale taxes based on annual income amounts.

This equation reflects the fact that the amount of sales tax for an item is 8% of its cost before tax.

To learn more about tax

https://brainly.com/question/28735352

#SPJ1

Sales tax: The equation to show the relationship between x and y is x + y = C,

An equation is a mathematical statement that expresses two mathematical expressions to be equal. It usually consists of two numbers, variables, or a combination of the two. An equation may be used to calculate a desired result, or to determine the relationship between two variables. Equations can also be used to test whether a statement is true or false. Most equations are written in the form of "a = b," where a and b are two numbers or variables.

where C is the cost of the item plus the sales tax. This equation can be explained mathematically as follows: the cost of the item (x) is added to the amount of sales tax (y) to give the total cost of the item with tax (C).

To learn more about equation
https://brainly.com/question/17145398
#SPJ1