In seventh grade, Emile grew
3 7/10cm, and in eighth grade, he grew 4 3/5cm. How much did his height increase during these two years?

The answer should be written as a proper mixed number and should be simplified, if possible

Answer:

A=(b^2)h/2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

x = amount at  9.2 %             interest = .092 x

(9500 -x) = amount at 9%     interest = .09 ( 9500-x)    summed, they = 870

.092x + .09 ( 9500-x)  = 870

x = 7500   then the other amount at 9 % is 2000

Answer:

Eight $5 bills are worth $40.  5x8=40                40/5=8

There are 9 thirds in 3 ones. 3x3=9                    9/3=3

A tape diagram of 5 equal parts. Each part is labeled one fifth. Above the bar is a bracket, labeled 1, that spans the entire length of the bar.  

5x 0.20=1                       5/1= 0.20

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.n:

Answer:

x = -9 and y = -3

Step-by-step explanation:

One method for solving a system of equations is substitution. To use substitution, we can solve one equation for one variable in terms of the other, and then substitute that expression into the other equation.

Here is one way to solve the system using substitution:

Solve the first equation for y: y = x + 6

Substitute this expression for y into the second equation: x + 3(x + 6) = -18

Solve for x: x + 3x + 18 = -18

Simplify: 4x = -36

Solve for x: x = -9

Substitute this value of x back into the first equation to find y: y = (-9) + 6 = -3

So the solution to the system is x = -9 and y = -3.

(Please give brainlist)

Answer:

The greatest common factor is 4

Step-by-step explanation:

1)     12x3+4x2-8x

2)    (12x3)+(4x2)-8x

3)     36+(4x2)-8x

4)     36+8-8x

5)     44-8x

6)     4(11-2x)

Answer:

70

Step-by-step explanation:

\(180 - 120 = 60\)

\(180 - 60 - 50 =70\)

The person can buy a total of 36 distinct systems from three models of the basic unit, three models of keyboard, and four models of printer.

Given, a person buying a personal computer system is offered a choice of three models of the basic unit, three models of keyboard, and four models of printer.

we have to find the number of distinct systems that can be purchased.

Using the concept of Permutations and Combinations, we get

Choose One model of basic unit from three models, Choose one model of keyboard from three models of keyboards and also choose one model of printer from four models of printers.

C(3 , 1)×C(3 , 1)×C(4 , 1)

= 3×3×4

= 36

So, the total of 36 systems can be purchased.

Hence, the total of 36 systems can be purchased.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

16a + 22t = 11826

Step-by-step explanation:

Cost of 1 (a) ticket = $16

Cost of 1 (t) ticket = $22

Total tickets sold = 648

Cost of 648 tickets = $11826

So eqn will be => 16a + 22t = 11826

Answer:

4÷1/6=24

Step-by-step explanation:

the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

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Football scores of Ali and Mohammad are 213 and 207 respectively.

Given,

Sum of Ali and Mohammad's football score is 420.

Difference between Ali's football score and Mohammad's football score is 6.

Then,

A - B = 6  ⇒Equation1

Where A = Ali's football score, and B= Mohammad's football score

Let's assume,

Ali's football score =

Mohammad's football score =

Sum of Ali's football score and Mohammad's football score:

A + B = 420 ⇒Equation2

After subtracting Equation2 from Equation 1

(A+B) - (A-B) = 420 - 6

A + B - A + B = 414

Since first A is positive and second A is negative, they will cancel out each other.

2B = 414

B = 207

After putting value of B in Equation2,

A + 207 = 420

A = 420- 207

A = 213

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Answer:

okay i will gladly

Answer:

$102.9

Step-by-step explanation:

20% of 85.73 is 17.15

to finish, you’ll just need to add 85.73 with 17.15 to get you answer,

the total cost of the meal is $102.9

brainliest? ..if you don’t mind

Answer:

$102.876 or $102.88

Step-by-step explanation:

20%/100=0.20

85.73*0.20=17.146

85.73+17.146=102.876

Answer:

3/4

Step-by-step explanation:

sin^2(240°)

=sin^2(360-120)

=sin^2(-120)

={-sin^2(120)}

=(-\(\sqrt({3} /2)^2\)

=3/4

Step-by-step explanation:

i hope so u can see sorry

and it is correct

The evaluate the value of the expression a(n) is control condition.

Here we have given that to provide a comparison for evaluating the effects of a specific treatment, experimenters make use of a(n).

Here we know that when carrying out an experiment, then the control condition is set up to provide a baseline against which the result of the experiment can be compared.

Here we have to take the example that is when measuring the effects of a new medication, then the control group is usually set up and the members of the group are given a placebo.

Therefore this will not contain any of the active ingredients of the medicine and it acts as a way to evaluate the real effects of the medication.

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Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

Step-by-step explanation:

You are correct. For every point, draw a line from the origin. The z1 point and origin has the biggest line, this has the greatest modulus.

Area of the enclosed figure is, 8√ 5 (5 + 2√5) units².

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Maria plots the following points on a coordinate grid.

Here, Points are,

⇒ (1, 3) (5, 7) (5, 5) (8, 9) (8, 3 ) (1, 3)

Clearly, It make pentagon.

And, Area of pentagon = 1/4 √5 (5 + 2√5) a²

Here, The side of pentagon = √ (7 - 3)² + (5 - 1)²

                                           = √4² + 4²

                                           = √32

                                           = 4√2

Thus, Area of figure = 1/4 √5 (5 + 2√5) a²

                               = 1/4 √5 (5 + 2√5) (4√2)²

                               = 8√ 5 (5 + 2√5)

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The given statement is true.

What is matrices ?

    A matrix is a collection of numbers that are arranged in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. Matrices are used extensively in many fields of mathematics as well as in engineering, physics, economics, and statistics.

Here ,

Create, Read or Reference, Update, and Delete are all parts of the acronym CRUD. These four interactions between classes in a system are feasible. In order to find possible partners while developing a communication diagram, an analyst would establish a CRUD matrix.

Here the CRUD matrices are created by lists the classes across the top and down of the side.

Hence the given statement is TRUE.

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Answer:

B

Step-by-step explanation:

we have the expression

x^3 - (3 + x)^2 for x = 4

substiute 4 into x

using pemdas

solve the parentheses first

4^3 - (3 + 4)^2

4^3 - (7)^2

4^3 = 4 x 4 x 4

4^3 = 64

7^2 = 7 x 7

= 49

64 - 49

= 15

The answer is 15

Answer:

f(x)=x + 8

g(x)=x-5

fog=x-5+8

     =x+3

gof=x+8-5

     =x+3

gog=x-5-5

     =x-10

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

Answer:

3

Step-by-step explanation:

Givens

Start by looking at the 'distance' (number of spaces) between 1 and 10

a = 1

l = 10

n of terms = 4

L_4 = 10

a = 1

Equation

L_4 = a + (n - 1)*d

10 = 1 + (4 - 1)*d

10 - 1 = 3d

9 = 3d

9/3 = d

d = 3

So the terms you get from 1 to 10

1  4   7 10

Discussion

But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1

-11 ____ ____ ____ 1

a = - 11

t = 5

L= 1

1 = - 11 + (5 - 1) d

1 = -11 + 4d                Add 11

1+ 11 = 4d

12 = 4d

12/4 = d

d = 3

======================

Could we have done this more directly. Yes, we could have

a = - 11

t = 8       There are 8 terms in all.

L_8 = 10

L_9 = a + (n-1)d

10 = - 11 + (8-1)d

10+11 = 7d

21 = 7d

21/7 = d

d = 3

Answer:

sure

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

400 cents ÷ 4= 100 and 1/4 of 100 is 25 so it .25

The empirical method is the right answer.

Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.

Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.

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By solving a system of equations, we conclude that the measure of the third angle is 90°.

First, let's define the variables:

Remember that the sum of the internal angles of a triangle always give 180°, then:

A + B + C  =180°.

We also know that:

B = A + 24°

C = B + 33°

Then we have a system of equations:

A + B + C  =180°

B = A + 24°

C = B + 33°

To solve this, we can first replace the third equation into the first one:

A + B + (B + 33°) =180°

A + 2B + 33° = 180°

Now let's replace the second equation there:

A + 2*(A + 24°) + 33° = 180°

3*A + 48° + 33° = 180°

3*A = 180° - 48° - 33° = 99°

A = 99°/3 = 33°

Then:

C = B + 33° = (A + 24°) + 33° = (33° + 24°) + 33° = 90°

We conclude that the measure of the third angle is 90°.

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An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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