Mark father won 5,000 in the state lottery he put it in a new account and paid there 250 dollars monthly car insurance in 7 months how much would be left in the account

Answer:

width = 6 ft

Step-by-step explanation:

let  A = 24 3/5 = (24*5 +3)/5 = 123/5 ft^2 the area

l = 4 1/10 = (4*10 + 1)/10 = 41/10 ft the length

w = the width, w>0

since the area = length*width we have:

l*w = A

(41/10)*w = 123/5

by solving we find:

w = 6 ft

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.

The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.

The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.

Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.

Learn more about Maxwell's Equation here:

https://brainly.com/question/31648187

#SPJ4

The question attached here seems to be incomplete, the complete question is:

Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are:  A. always in the same direction  B. always in opposite directions  C. always perpendicular to each other  D. never perpendicular to each other  E. none of the above

The number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.

Let's assume that the total number of students in the school stadium is x. So,1/5 of the students were basketball players => (1/5)x2/15 of the students were soccer players => (2/15)x

So, the rest of the students watched the games => x - [(1/5)x + (2/15)x]

Let's simplify the given expressions=> (1/5)x = (3/15)x=> (2/15)x = (2/15)x

Now, we can add these fractions to get the value of the remaining students=> x - [(1/5)x + (2/15)x]

=> x - [(3/15)x + (2/15)x]

=> x - (5/15)x

=> x - (1/3)x = (2/3)x

Students who watched the games are (2/3)x

.Now we have to find out how many students watched the game. So, we have to find the value of (2/3)x.

We know that, the total number of students in the stadium = x

Hence, we can say that (2/3)x is the number of students who watched the games, and (2/3)x is equal to [2/3 * Total number of students] = [2/3 * x]

Therefore, the students who watched the game are (2/3)x.

Hence the solution to the given problem is that the number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.

To learn about the fraction here:

https://brainly.com/question/17220365

#SPJ11

Answer:

1/10 of a pizza

Step-by-step explanation:

we divide 1/2 by 5

1/2x1/5=1/10

Hopes this helps please mark brainliest

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

Learn more about Exponents here:

https://brainly.com/question/5497425

#SPJ2

Answer:

its 60. u gotta know this stuff man

The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

To learn more about triangles click here: brainly.com/question/2773823

#SPJ11

Answer:

From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.

The equation of the new graph is f(x) = (x + 3)² - 5

Step-by-step explanation:

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

whats ..... representating

is it a continuous series?

Answer:

P(both soccer and basketball) = \(\frac{18}{31}\)

Step-by-step explanation:

Let B, S denote number of students who play basketball and soccer.

As 31 play basketball, 59 play soccer and 18 of the students play both basketball and soccer,

\(n(B)=21\\n(S)=59\)

n(B∩S) = 18

To find P (Soccer |Basketball) that is P(S∩B),

use P(S∩B) = P(both soccer and basketball)/ P(B)

P(both soccer and basketball) = Number of students who play both soccer and basketball / Total number of students

= \(\frac{18}{145}\)

Also,

P(B) = Number of students who play basketball / Total number of students

= \(\frac{31}{145}\)

So,

P(S∩B) = \(\frac{\frac{18}{145} }{\frac{31}{145} }=\frac{18}{31}\)

That is

P(both soccer and basketball) = \(\frac{18}{31}\)

Answer:

0.0375 gram of Vitamin C

Step-by-step explanation:

Hi there !

1  1/2 tablets = (1*2 + 1)/2 = 3/2 tablets every day

How many grams of vitamin C do do you take every day?

1/40 × 3/2 = 3/80 = 0.0375 gram of Vitamin C

Good luck !

Answer:

Co-ordinates of B are (2,-6)

Step-by-step explanation:

The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

Learn more about mass at: brainly.com/question/11954533

#SPJ11

The answer in the form of x,y is -7x + 10y  = 118.

A Cartesian plane (named after French mathematician Rene Descartes, who formalized its use in mathematics) is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.

from given conditions, we get,

(-4, 9) and  10  left  7 down  puts her at  (  -4 - 10 , 9  - 7)  = ( -14, 2)

So,  the points  ( -4, 9)  and (-14,2)  are on the  line

Slope of this line  =   [ 2 - 9] / [ -14 - -4 ]  =  [ -7] / [ -10]  =  7/10

Equation of the line

y  = (7/10)(x - - 4)  + 9

y  = (7/10) ( x + 4)  + 9     multiply through by 10

10y = 7 (x + 4)  + 90

10y = 7x + 28  + 90

-7x + 10y  = 118

Therefore, the answer in the form of (x , y) is -7x + 10y  = 118

To learn more about cartesian plane visit : brainly.com/question/28574364

#SPJ4

Answer:

$0.59

Explanation:

$3.54 divided by 6 is $0.59. This concludes that 1 pound is $0.59. Hope this helps!

The cost of 1 pound of banana will be $0.59 per pound.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mia bought 6 pounds of bananas for $3.54.

The cost of 1 pound of banana is given by the division of the total cost for 6 pounds and 6. Then we have

⇒ $3.54 / 6

⇒ $0.59 per pound

The cost of 1 pound of banana will be $0.59 per pound.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

TV = VU + TU

Subsitute.

8 = VU + 2

-2         -2

VU = 6

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,

TV = TU + UV

As given the length of TV is 8 units, the length of TU is 2 units,

8 units = 2 units + UV

8 units - 2 units = UV

UV = 6 units

Hence, the length of the line segment UV is 6 units.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

\(x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333\)

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

To use undetermined coefficients, we assume that the particular solution has the same form as the forcing term (in this case, 2e3t). Since the derivative of e3t is also e3t, we will assume that the particular solution has the form A*e3t, where A is an unknown constant.

Taking the first and second derivatives of this assumed particular solution, we get:

y' = 3A*e3t
y'' = 9A*e3t

Substituting these into the differential equation, we get:

3A*e3t + 9A*e3t - 20A*e3t = 2e3t

Simplifying, we get:

-8A*e3t = 2e3t

Dividing both sides by -8e3t, we get:

A = -1/4

Therefore, the particular solution is:

y(t) = -1/4 * e3t

Adding the complementary solution (the solution to the homogeneous equation y' + y' - 20y = 0) to this particular solution gives us the general solution:

y(t) = C1 * e4t + C2 * e-5t - 1/4 * e3t

where C1 and C2 are constants determined by any initial or boundary conditions.

First, let's correct the given equation. I assume it should be a second-order linear differential equation:

y'' + y' - 20y = 2e^(3t)

Now, we'll try to find a particular solution using the method of undetermined coefficients. Since the right side of the equation is 2e^(3t), we assume a particular solution of the form:

Yp(t) = A * e^(3t)

We'll now find the first and second derivatives of Yp(t):

Yp'(t) = 3A * e^(3t)
Yp''(t) = 9A * e^(3t)

Substitute Yp(t), Yp'(t), and Yp''(t) into the differential equation:

(9A * e^(3t)) + (3A * e^(3t)) - 20(A * e^(3t)) = 2e^(3t)

Now we have:

12A * e^(3t) - 20A * e^(3t) = 2e^(3t)

Simplify and solve for A:

-8A * e^(3t) = 2e^(3t)

A = -1/4

So the particular solution Yp(t) is:

Yp(t) = (-1/4) * e^(3t)

Let me know if you have any questions!

Learn more about coefficients here: brainly.com/question/28975079

#SPJ11

Answer:

SSS Postulate

Step-by-step explanation:

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

To learn more about derivative, click here: brainly.com/question/23819325

#SPJ11

Using the arithmetic operations, the price difference between the two brands when buying 900 g of hot chocolate is £0.90.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To compare the prices of the two brands of hot chocolate, we need to calculate the price per gram for each brand.

For Brand A, the price per gram is -

Use the arithmetic operation of divison.

£2.70 ÷ 150 g = £0.018 per gram

For Brand B, the price per gram is -

Use the arithmetic operation of division.

£3.05 ÷ 180 g = £0.017 per gram

So Brand A is more expensive per gram than Brand B, but we need to calculate the difference in price when buying 900 g of hot chocolate.

For Brand A, 900 g will cost -

Use the arithmetic operation of multiplication.

900 g × £0.018 per gram = £16.20

For Brand B, 900 g will cost -

Use the arithmetic operation of multiplication.

900 g × £0.017 per gram = £15.30

Therefore, the difference in price between the two brands when buying 900 g of hot chocolate is -

Use the arithmetic operation of subtraction.

£16.20 − £15.30 = £0.90

So Brand A is £0.90 more expensive than Brand B when buying 900 g of hot chocolate.

To learn more about arithmetic operation from the given link

https://brainly.com/question/20628271

#SPJ1

Answer:= -12+4x

Step-by-step explanation:

Distribute -4 through the parentheses

8+4x=20

Calculate the difference

-12+4x

Answer:

x+51°=180°

or,x=180°-51°

x=129°

Answer:

The equation of new function is: G(x)=|x+4|

Step-by-step explanation:

We are given:

If you shift the absolute value parent function, F(x) = |x|, left 4 units,

We need to find:

the equation of the new function

We know that: If we have parent function f(x) and g(x)=f(x+c) there will be horizontal translation left c units.

We are parent function, F(x) = |x|

So, Our function went translation of 4 units left

So, the new function will be:

G(x)=|x+4|

So, The equation of new function is: G(x)=|x+4|

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

\(\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}\)

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

-8 and 7 is the answer

-8*7 is -56

and -8+7 is -1

The query is about probability and complements. A pair of dice is rolled, and the outcome is interesting since the resultant number is odd. The aim is to identify whether the complement of this event is the event of rolling an even number or one of the other choices supplied.

An event's complement is the collection of outcomes that are not included in the event. As a result, the solution will be the set of outcomes that correspond to rolling an odd number on a pair of dice.

The alternatives are as follows: (a) a number larger than 8, (b) a number less than 5, (c) an even number, and (d) a multiple of 5.

Learn more about probability and complements:

https://brainly.com/question/13604758

#SPJ11

Answer:

\(y=\frac{1}{2} x+10\)

Step-by-step explanation:

\(-\frac{1}{2} x+y=10\\\)

Add \(\frac{1}{2} x\) to both sides

\(y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10\)