Срочно помогите про практической задание сделать)
Найти решение уравнения x^3+2x+4=0 c точностью Ɛ=0,01 методом деления отрезка пополам.

Answers

Answer 1

Answer:

Для применения метода деления отрезка пополам нужно использовать тот факт, что функция x^3 + 2x + 4 непрерывна на всей числовой оси. Кроме того, нужно заметить, что функция монотонно возрастает на всей числовой оси, так как ее производная 3x^2 + 2 всегда положительна.

Начнем с интервала [a, b], где a = -2 и b = 0. Тогда значение функции в точке a равно -4, а значение функции в точке b равно 4. Значит, на этом интервале есть хотя бы один корень уравнения x^3 + 2x + 4 = 0.

Посередине интервала [a, b] находим точку c = (a + b) / 2 = -1. Значение функции в точке c равно 1, то есть на интервале [c, b] нет корней уравнения.

Затем выбираем интервал [a, c] и повторяем процесс. Находим точку d = (a + c) / 2 = -1.5. Значение функции в точке d равно -1.375, то есть на интервале [d, c] есть корень уравнения.

Продолжаем делить отрезки пополам и находить корни, пока не достигнем требуемой точности. Например, следующая точка будет e = (d + c) / 2 = -1.25. Значение функции в точке e равно 0.234375, то есть на интервале [e, c] есть корень уравнения.

Таким образом, метод деления отрезка пополам дает корень уравнения x^3 + 2x + 4 = 0 на интервале [-1.25, -1.125], который можно записать в виде x ≈ -1.1875 (с точностью до Ɛ=0,01).


Related Questions

NEED HELP DUE FRIDAY!!!!!!!!!!!
Find cos(A), sin(A), and tan(A) for triangle ABC.

Answers

Answer:

It’s a right triangle

Step-by-step explanation:

15 squared plus 8 squared equals 17 squared which 289=289

A pool is filled with 270 cubic meters of water. The base of the pool is 15 meters long and 9 meters wide. What is the height of the water in the pool?

Answers

pool = length x width x height

pool = 15 x 9 x ?

270 = 135x

x = 2

the height is 2 meters.

Suppose the total length of the guitar is given by the expression 8 147. Which radical expression represents the length of the body if the neck measures 8 48 ?

Answers

The length of the body of the guitar is represented by the radical expression 24√3.

We can start by simplifying 8√147.

8√147 = 8√(49 × 3) (since 49 is a perfect square)

= 8 × 7√3

= 56√3

Next, we need to find the length of the body of the guitar, given that the neck measures 8√48. We know that the total length of the guitar is 56√3, so we can set up an equation:

total length = length of neck + length of body

56√3 = 8√48 + length of body

To solve for the length of the body, we can start by simplifying 8√48:

8√48 = 8√(16 × 3) (since 16 is a perfect square)

= 8 × 4√3

= 32√3

Substituting this back into the equation:

56√3 = 32√3 + length of body

Simplifying:

length of the body = 24√3

Therefore, the answer is A) 24√3.

Learn more about radical expression at

https://brainly.com/question/28336985

#SPJ4

The question is -

Suppose the total length of the guitar is given by the expression 8√147. Which radical expression represents the length of the body if the neck measures 8√48? A) 24√3 B) 12√3 C) 8√3 D) 9√9

On a certain day, the temperature of the pool was 76°F at 10 A.M. and 91°F at 1 P.M. If the temperature rose at a constant rate from 10 A.M. to 1P.M. on that day, what was the temperature at 11 A.M.? a. 79°F d. 89°F b. 81°F e. 90°F c. 86°F

Answers

The correct answer is b. 81°F.

On a certain day, the temperature of the pool rose at a constant rate from 76°F at 10 A.M. to 91°F at 1 P.M. To find the temperature at 11 A.M., we need to find the rate of change in temperature and then use it to calculate the temperature at 11 A.M.

The rate of change in temperature can be found by dividing the difference in temperature by the difference in time:

Rate of change = (91°F - 76°F) / (1 P.M. - 10 A.M.) = 15°F / 3 hours = 5°F per hour

Now, we can use this rate of change to find the temperature at 11 A.M.:

Temperature at 11 A.M. = 76°F + (5°F per hour)(1 hour) = 81°F

Therefore, the correct answer is b. 81°F.

Learn more about Temperature

brainly.com/question/11464844

#SPJ11

cindy bought 7/8 yard of ribbon jacob bought 4/5 more than cindy how much did he buy

Answers

In  linear equation, 7/10 did he buy .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

multiply the fractions by each other.

7/8*4/5

7*4=28

8*5=40

28/40

"B" would be the correct answer but, it the fraction should be reduced to 7/10.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

e) Solve: f(x) = g(x) for x = [-240°; 240°]​

Answers

Answer:

218.88

Step-by-step explanation:

Ina makes cakes in a pan shaped like a rectangular prism. The base of the pan is an 8-inch by 12-inch rectangle, and the volume of the pan is 288 cubic inches. Find the surface area of a cheesecake baked in this pan

Answers

Answer:

312 square inches

Step-by-step explanation:

To find the surface area of a cake baked in a rectangular pan with an 8-inch by 12-inch base and a volume of 288 cubic inches, we need to find the dimensions of the pan. We can do this by dividing the volume by the area of the base, which gives us the height of the pan. Once we know the height, we can use the dimensions of the base and the height to find the surface area of the cake.

23
b. Complete the double number line diagram that represents the situation.
Photos
0
0
Minutes!
:: 1
7
2
4
:: 4
:: 6
1
#15
21
8
3
28
:: 9
80
#20
# 10
35
12
:: 14


PLEASE HELP I NEEEDA LIKE FINISH IT RN HELP

Answers

Answer:

10mins for 35 photos

Step-by-step explanation:

If it takes 8mins to produce 28photos, that is ratio 1:3.5

For 7 photos, divide by 3.5, that is 2mins

For 4mins, multiply by 3.5, that will be 14photos

For 21 photos, divide by 3.5, that will be 6 mins

True; by the Invertible Matrix Theorem if the equation Ax^(0) has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the identity matrix.

Answers

The given statement, "by the Invertible Matrix Theorem if the equation [tex]Ax^{(0)}[/tex]has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the identity matrix," is true (T).

This is because the theorem states that a square matrix is invertible if and only if it can be transformed into the identity matrix by a sequence of elementary row operations. And if the equation [tex]Ax^{(0)}[/tex] only has the trivial solution, then the matrix must be row equivalent to the identity matrix, implying that it is invertible.

The Invertible Matrix Theorem is a powerful result in linear algebra that allows us to determine whether a square matrix is invertible or not. It states that a square matrix is invertible if and only if its determinant is nonzero, which is equivalent to saying that the matrix can be transformed into the identity matrix by a sequence of elementary row operations.

If the matrix is not invertible, then its determinant is zero, and it is said to be singular. In this case, the equation [tex]Ax^{(0)}[/tex] will have infinitely many solutions or no solutions at all, depending on the specific values of the right-hand side vector.

Learn more about Invertible Matrix Theorem brainly.com/question/16752657

#SPJ11

Simplify the following expressicn using addition and subtraction. (x)/(3)+(2x)/(18)-(6x)/(3)

Answers

The answer is (-14x)/(9).

To simplify the given expression, we need to find a common denominator for all the fractions, which is 18. We can then multiply the numerators and denominators of each fraction by the same number to get the same denominator for all the fractions. Once we have the same denominator, we can combine the numerators using addition and subtraction. Finally, we can simplify the resulting fraction if possible.

The expression is: (x)/(3)+(2x)/(18)-(6x)/(3)

First, find a common denominator for all the fractions. The smallest common denominator is 18.

Next, multiply the numerators and denominators of each fraction by the same number to get the same denominator for all the fractions:

(x)/(3) * (6)/(6) = (6x)/(18)

(2x)/(18) * (1)/(1) = (2x)/(18)

(6x)/(3) * (6)/(6) = (36x)/(18)

Now, we can combine the numerators using addition and subtraction:

(6x)/(18) + (2x)/(18) - (36x)/(18) = (6x + 2x - 36x)/(18) = (-28x)/(18)

Finally, we can simplify the resulting fraction by dividing both the numerator and denominator by 2:

(-28x)/(18) = (-14x)/(9)

So the simplified expression is: (-14x)/(9)

Therefore, the answer is (-14x)/(9).

Learn more about subtraction

brainly.com/question/1927340

#SPJ11

extra points for help (dont guess please)

Answers

The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

What exactly are exponential functions?

Exponential functions are functions that involve a variable exponent. They are of the form f(x) = aˣ, where "a" is a positive constant base and "x" is the variable exponent.

Exponential functions exhibit rapid growth or decay, depending on the value of "a" and the sign of "x". For example, if "a" is greater than 1, the function grows rapidly as "x" increases, while if "a" is between 0 and 1, the function decays rapidly as "x" increases.

Now,

As stated above that for exponential function y=aˣ

when a>1 it shows exponential growth

and when a<1 it shows decay.

hence,

          The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

To know more about exponential function visit the link

https://brainly.com/question/14355665?referrer=searchResults

#SPJ1

I KNOW PART OF THE ANSWER BUT HELP

Answers

The unknown measures are given as follows:

BC = 2.52, AB = 1.28, m < C = 27º.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle C is given as follows:

63 + 90 + m < C = 180

m < C = 27.

Side BC is opposite to the angle of 63º, while the hypotenuse is the square root of 8, hence it is obtained as follows:

sin(63º) = BC/sqrt(8)

BC = square root of 8 x sine of 63 degrees

BC = 2.52.

Side AB is opposite to the angle of 27º, hence it's length is given as follows:

sin(27º) = AB/sqrt(8)

AB = square root of 8 x sine of 27 degrees

AB = 1.28.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

when flying on an air plane the weight limit for carry on luggage is 30 pounds there are approximately 453.6 grams in 1 pound which measurement is closet to the weight of the checked luggage in grams

Answers

Answer:

Step-by-step explanation:

30x453.6=13608 grams

point (s) possible Find the LCD (least common denominator ) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)

Answers

The answer are LCD (least common denominator) of the set of fractions (7)/(20) and (9)/(40) is 40.

Here is a step-by-step explanation on how to find the LCD:

1. Find the multiples of each denominator.

- Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200...

- Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400...

2. Compare the multiples of each denominator and find the smallest number that appears in both lists.

- The smallest number that appears in both lists is 40.

3. The smallest number that appears in both lists is the LCD.

- Therefore, the LCD of the set of fractions (7)/(20) and (9)/(40) is 40.

So the answer to the question "Find the LCD (least common denominator) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)" is 40.

To know more about fractions refer here:

https://brainly.com/question/10354322#

#SPJ11

what is the ratio of 2:35

Answers

Answer:

2:35

Step-by-step explanation:

Please note that for 1 pound of bananas the cost is
$0.63/lb
(according to the US Bureau of Labor Statistics.) In 1939 , the cost of bananas was
14%
lower. Pam buys 5 pounds of bananas for children at the camp she works for. What would these bananas have cost in 1939?

Answers

The cost of 5 pounds of bananas in 1939 would have been $2.709.

According to the US Bureau of Labor Statistics, the cost of 1 pound of bananas is $0.63/lb. In 1939, the cost of bananas was 14% lower. Therefore, to find the cost of bananas in 1939, we need to calculate 14% of $0.63/lb and then subtract it from $0.63/lb.

Calculate 14% of $0.63/lb
0.14 * $0.63/lb = $0.0882/lb

Subtract $0.0882/lb from $0.63/lb to get the cost of bananas in 1939
$0.63/lb - $0.0882/lb = $0.5418/lb

Multiply the cost of bananas in 1939 by the number of pounds Pam buys
$0.5418/lb * 5 lb = $2.709

Therefore, the cost of 5 pounds of bananas in 1939 would have been $2.709.

Learn more about US Bureau

brainly.com/question/11219496

#SPJ11

Graph the inequality y+4<-2(x-4) on the set of axes below

Answers

Answer:

y < 2x + 4

Step-by-step explanation:

y+4<-2(x-4)

y + 4 < -2x +8

y < 2x + 4

Find the measure of pkt​

Answers

Answer:

  32°

Step-by-step explanation:

You want the measure of the smaller angle of the linear pair marked (3g+23) and (7g+127).

Linear pair

The angles of a linear pair total 180°, so we have ...

  (3g +23) +(7g +127) = 180

  10g = 30 . . . . . . . . . subtract 150

  g = 3 . . . . . . . . . divide by 10

The smaller angle is ...

  ∠PKT = (3·3 +23)°

  ∠PKT = 32°

Designing an Addition A 40-ft-wide house has a roof with a
6-12 pitch (the roof rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will have a 3-12 pitch to its roof. Find the lengths of AB and BC in the accompanying figure.

Answers

We can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

What is sine formula in trigonometry?

Sine formula is used to calculate the sine angle of a right-angled triangle which is the ratio of the opposite side and the hypotenuse.

Given is that a 40-ft-wide house has a roof with a 6-12 pitch (the roof

rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will

have a 3-12 pitch to its roof.

We can write the measure of length AB as -

AB = 6 + √(9 + 296)

AB = 6 + 17.46

AB = 23.46 ft

We can write the measure of length BC as -

BC = 6 + 1/4 x 12

BC = 6 + 3

BC = 9 ft

Therefore, we can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

To solve more questions on length measurements, visit the link-

https://brainly.com/question/30956532

#SPJ1

PLEASE? ILL GIVE BRAINLIEST AND PUT THE MOST AMOUNT OF POINTS

Answers

The value οf x is 1000 kg/m³ and the cοrrespοnding value οf y in lb/ft³ is 62.0 lb/ft³. The value οf x is 2000 lbs/yard³ and the cοrrespοnding value οf y in lb/ft³ is 74 lb/ft³.

What is Quantities and measurements?

Quantities and measurements are essential cοmpοnents οf the study οf mathematics and the physical sciences. A quantity is any prοperty οr characteristic that can be measured οr expressed in numerical terms, such as length, mass, time, temperature, and vοlume.

Frοm the prοject research part 2: Densities in lb/ft3 (pοunds per cubic fοοt). Cοnvert the densities as belοw,

Cοnvert kilοgrams per cubic meter tο the pοunds per cubic fοοt by multiplying by 0.062:

(x kg/m³) (0.062) = y lb/ft³

If we have a value οf x, we can multiply it by 0.062 tο get the cοrrespοnding value οf y in lb/ft³.

Let's say we have x = 1000 kg/m³. We can find y in lb/ft³ as fοllοws:

y lb/ft3 = (1000 kg/m3) (0.062) = 62.0 lb/ft3

Therefοre, the value οf x is 1000 kg/m3 and the cοrrespοnding value οf y in lb/ft3 is 62.0 lb/ft³.

Anοther questiοn is, Cοnvert pοunds per cubic yard tο pοunds per cubic fοοt by multiplying by 0.037:

(x lbs/yard³) (0.037) = y lb/ft³

Let's say we have x = 2000 lbs/yard³. We can find y in lb/ft³ as fοllοws:

y lb/ft³ = (2000 lbs/yard³) (0.037) = 74 lb/ft³

Therefοre, the value οf x is 2000 lbs/yard³ and the cοrrespοnding value οf y in lb/ft³ is 74 lb/ft³.

To know more about Conversion, visit:

brainly.com/question/97386

#SPJ1

the form Q+bar (D) where the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4)

Answers

In this expression, Q+bar (D) is a polynomial, and we are asked to compare the degree of R with that of the polynomial (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4).

The degree of a polynomial is determined by the highest power of the variable. The highest power of c in (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4) is 3, so this polynomial has a degree of 3.

To compare it to the degree of R, we need to know the highest power of R in our expression. If the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4), then the expression Q+bar (D) will have a degree of 3.

Know more about polynomial here

https://brainly.com/question/11536910#

#SPJ11

Question 3 of 12 , Step 1 of 1 Find three consecutive integers whose sum is 360.

Answers

The three consecutive integers whose sum is 360 are 119, 120, and 121.

To find three consecutive integers whose sum is 360, we can use algebra to set up an equation and solve for the first integer. Let x be the first integer, then the next two consecutive integers will be x+1 and x+2. The sum of these three integers is 360, so we can write the equation:

x + (x+1) + (x+2) = 360

Simplifying the equation gives us:

3x + 3 = 360

Subtracting 3 from both sides gives us:

3x = 357

Dividing both sides by 3 gives us:

x = 119

So the first integer is 119. The next two consecutive integers are 120 and 121. Therefore, the three consecutive integers whose sum is 360 are 119, 120, and 121.

Learn more about integers

brainly.com/question/15276410

#SPJ11

Use a calculator to find the trigonometric value to 4 decimal places. sin 14° = __________

Answers

The trigonometric value of sin 14° to 4 decimal places is sin 14° = 0.241.

Step 1: Enter the value of 14 into the calculatorStep 2: Press the sin button on the calculatorStep 3: The calculator will display the value of sin 14°Step 4: Round the value to 4 decimal places


The value of sin 14° to 4 decimal places is 0.2419.

What are angles?

An angle is the measure that determines two straight lines, which when joined together create a point of origin, which is called the vertex of the angle.

The unit of measurement associated with angles is degrees.

For more information about trigonometric, visit:

https://brainly.com/question/24349828

#SPJ11

Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation. (Enter the first four nonzero terms for each linearly independent solution, if there are fewer than four nonzero terms then enter all terms. In each case, the first term has been provided for you. )

3xy" y+y=0

Y₁ = 1 -

12 = x2/3

Answers

The two linearly independent solutions are y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + … and y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

We can use the power series method to find the two solutions of the given differential equation:

Let y = ∑anxn be a power series solution. Then, we have:

y' = ∑nanxn-1

y'' = ∑nan(n-1)xn-2

Substituting these into the differential equation and equating coefficients of like powers of x, we get:

3x∑nan(n-1)xn-1 + ∑anxn = 0

Simplifying, we obtain:

∑[3nan(n-1) + an-1]xn = 0

Since x ≠ 0, the coefficients of like powers of x must be zero. This gives us the recurrence relation:

an = -an-1/(3n(n-1)), n ≥ 1

Using this recurrence relation and the initial condition y(0) = 1, we can find the power series solution:

y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + ...

To find a second linearly independent solution, we can use the method of reduction of order. Let y₂(x) = v(x)y₁(x). Then, we have:

y₂' = v'y₁ + vy₁'

y₂'' = v''y₁ + 2v'y₁' + vy₁''

Substituting these into the differential equation and simplifying, we get:

v''y1x + (2v'y1' + vy1'')x + 3vy1 = 0

Since y₁(x) is a solution, we have:

y₁'' + (1/3x)y₁ = 0

Multiplying by y1 and integrating, we obtain:

(y₁')² + y₁²/3 = C

where C is a constant of integration. Using the initial condition y₂(0) = 0, we can find the second solution:

y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

To learn more about linearly follow the link: brainly.com/question/30076836

#SPJ4

Use the commutative or associative property to simplify the expression. (1)/(13)(13y)

Answers

The simplified expression of (1)/(13)(13y)  is 169y.

To simplify the expression (1)/(13)(13y) using the commutative or associative property, we can rearrange the terms and group them together.

Using the commutative property, we can rearrange the terms so that the two 13's are next to each other:

(1)(13)(13y) = (13)(13y)(1)

Now, using the associative property, we can group the two 13's together and simplify:

(13)(13y)(1) = (13*13)(y)(1) = (169)(y)(1)

Finally, we can simplify further by multiplying the 169 and 1 together:

(169)(y)(1) = (169y)(1) = 169y

To know more about associative property click on below link:

https://brainly.com/question/30111262#

#SPJ11

For each relationship described, type an equation using the variables y and z to create an identity. a. addition and subtraction: b. multiplication and division: (when y 0 or when z = 0)​

Answers

Step-by-step explanation:

addition and subtraction:

y + z - z = y

b. multiplication and division:

When y ≠ 0:

yz / y = z

When z ≠ 0:

y / z * z = y

How to express a two logarithm into a single logarithm

Answers

Answer:

There are different methods to express a two logarithm into a single logarithm, depending on the specific form of the logarithms involved. Here are some examples:

Logarithms with the same base:

If you have two logarithms with the same base, you can use the following logarithmic identity:

log_a(x) + log_a(y) = log_a(xy)

Using this identity, you can express a sum or difference of logarithms with the same base as a single logarithm:

Example 1: log_2(3) + log_2(5) = log_2(3*5) = log_2(15)

Example 2: log_5(7) - log_5(2) = log_5(7/2)

Logarithms with different bases:

If you have two logarithms with different bases, you can use the following change of base formula to express them with a common base:

log_a(x) = log_b(x) / log_b(a)

Using this formula, you can rewrite a logarithm with a base a as a logarithm with a base b:

Example 1: log_2(7) = log_10(7) / log_10(2)

Example 2: log_5(2) = log_2(2) / log_2(5)

Once you have expressed both logarithms with the same base, you can apply the logarithmic identity from method 1 to simplify them into a single logarithm.

The selling price of each cup of lemon juice is 3/2 times as much as the selling price of a cup of apple juice. For every 2 cups of lemon juice sold, Mr Tan sells 5 cups of apple juice. He earns $12 more from apple juice than from lemon juice. How much does Mr Tan earn altogether?

Answers

He makes $8/49 for every 7 cups of juice, so his overall profits will be some multiple of $8/49.

what is unitary method ?

Finding the worth of one unit of a quantity, then using this value to determine the value of a specified number of units of the quantity, is known as the unitary technique. When solving issues involving rates, ratios, and proportions, this approach is helpful. The fundamental tenet of the unitary technique is that we can use the value of one unit of a quantity to determine the value of any number of additional units of the same quantity.

given

Let's symbolise the cost of a cup of apple juice by the variable x.

So, a cup of lemon juice is sold for 3/2 times x, or (3/2)x.

Mr. Tan offers 5 cups of apple juice for every 2 cups of lemon juice. This indicates that there are 2.5 sales of lemon juice for every 1 sales of apple juice.

Assume Mr. Tan sells 5y cups of apple juice and 2y cups of lemon juice.

Based on the information provided, we can conclude that apple juice generates $12 more revenue than lemon juice.

in order to create an equation:

5yx = 2(3/2)x + 12

Simplifying:

5yx = 3x + 12

adding two to both sides:

10yx = 6x + 24

x(10y - 3) = 12

x = 12 / (10y - 3) (10y - 3)

We can now re-use this number of x to represent the revenue from apple juice in the equation:

5yx = 3x + 12

5y(12 / (10y - 3)) = 3(12 / (10y - 3)) + 12

Therefore, Mr. Tan charges $1/7 for each cup of apple juice and (3/2)($1/7) Equals $3/14 for each cup of lemon juice.

He charges (5/7)($1/7) = $5/49 for 5y = 5(1/7) = 5/7 glasses of apple juice.

For a sum of (2/7)($3/14) = $3/49, he sells 2y = 2(1/7) = 2/7 cups of lemon juice.

For each 7 cups of juice sold, Mr. Tan makes a sum of $5/49 + $3/49 = $8/49.

Consider that he offers 2n cups of lemon juice and 5n glasses of apple juice. (2n)($3/14) + (5n)($1/7) = $6n/49 + $5n/49 = $11n/49

He makes $8/49 for every 7 cups of juice sold, so his overall profits will be some multiple of $8/49.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

The perimeter of a rectangular field is 294 m. If the length of the field is 96 m, what is its width?

Answers

The width of the rectangular field is 51 m. To find the width of the rectangular field, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Given:
P = 294 m
L = 96 m

Substituting the given values into the formula, we get:

294 = 2(96) + 2W

Simplifying the equation, we get:

294 = 192 + 2W

Subtracting
192 from both sides of the equation, we get:

102 = 2W

Dividing both sides of the equation by 2, we get:

W = 51

To know more about perimeter refer to-

brainly.com/question/6465134#
#SPJ11

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?

Answers

The volume of the rectangular prism whose surface area is 250 cm square is 250cubic centimeters.

The surface area of a rectanular prism is calculates by the formula

= 2( length*width + length*height + width*height ) square units

Let the length of the given prism be l centimeters.

Given, width is 5 centimeters and height is 10 centimeters of the rectangular prism.

The surface area of the rectangular prism is 250 cm square.

Thus by the above formula,

250 = 2 ( l*5 + l*10 +10*5)

⇒250 = 2 (15*l +50)

⇒ 250= 30*l + 100

⇒ 150 = 30*l

⇒l = 150/30 = 5 (centimeters)

Thus the volume of the given rectangular prism is calculated as

= ( length*width*height) cubic units

= (5*5*10) cubic centimeters

= 250 cubic centimeters

To know more about volume and surface area of rectagular prism here

https://brainly.com/question/10245940

#SPJ4

Other Questions
Need assistance with these two questions!1) What is the input and output of one cycle of the krebs cycle?2) What is the generation of macromolecules from smaller molecules called?3) What is the input and output of one cycle Of glycolysis? Thank you! Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime factors. 240 HELP I NEED IT VERY BADLYpower fill in the blanks below write this number with powers.19,306 = 1 x 10 + 9 x 10 + 3 x 10 + 6 x 10 It is assumed that a company should make investment and financing decisions with the main objective of maximising shareholder wealth. Which ONE of the following statements BEST describes this objective?a. Maximising the flow of discounted cash flow to shareholders over a long-term horizon.b. Ensuring the company's share price increases over a short-term horizon.c. Maximising profits of the company over a long-term horizon.d. Pursuit of a high market share for the company. What is an R plasmid and what types of genes are found on it (pilus-synthesis genes, drug-resistant genes)? Note: Picture not drawn to scale.Given that DE DB and AD CD, which of the following rules could be used to prove ADE CDB? A. Side-Side-Side B. Side-Angle-Side C. Angle-Side-Angle D. Angle-Angle-SideReset SubmitTriangle Congruence The 15 rows of bleachers in the school gym are labeled A through O. What is the probability that a person is randomly assigned a seat in rows A,B,C, E? - Tissue cell donar -> Cells from animal to be cloned are main- ained in he hey do not grow or dvide -> Nucleus is removed -> Nucleus fusses with empty egg after electric current applied -> The reconstructed embryo grows for 7 days -> Embryo's eimplanted into surrogate mother -> Cloned animal is born with exact DNA as the tissue cell donor. - Donor Supplies unfertilised eggs -> Egg cell -> Nucleus is removed -> Nucleus fusses with empty egg after electric current applied -> The reconstructed embryo grows for 7 days -> Embryo's eimplanted into surrogate mother -> Cloned animal is born with exact DNA as the tissue cell donor.Dolly was the first successfully cloned mammal. Which of the 3 adult female sheep was she considered to be a clone of? A. A combination of the tissue donor and egg donor females B. The tissue cell donor. C. The egg donor D. The surrogate mother Between 1960 and 2010, the world popula- tion increased by how many billions of people? Discuss how appropriate expression of views or feelings may enhance effective communication between you and your parents. Use the following matrices to perform the operation, if possible. (If not possible, enter IMPOSSIBLE into any cell of the matrix.) C=[5 3], [ 1 2]D=[4 8] ,[5,9] Find 4C+2D. If the brine contains 138 g of NaCl, how much Cl2 can be produced? A 7cm thick wedge and 15 cm long wedge is used to pierce a 2m long log of diameter 20 cm. What is velocity ratio of the wedge? How many grams are in 4.50x1023 molecules of CO2? [Molar mass CO2 = 44.01 g/mol CO2]7.48x10-11 g CO232.9 g CO244.01 g CO26.16x1045 g CO2 When the company has a lot of competitors it tries to invent the most efficient technology to stay ahead T/F: Individuals with1Xand1Ychromosome can be anatomically female. True False Question 35 T/F: All but1Ychromosome is inactivated in males having more than1Ychromosome. True False T/F: In some species, one or more autosomal genes determine the sex. True False Environmental temperature alone determines the sex of some species. True False Nowadays prefabricated buildings are getting popular. Prefabricated buildings are made of portable modular structures that can be easily installed in any area and are produced in a factory environment in a very short time, and are installed in the place where installation and assembly are requested and with a modular structure. You are required to estimate the total costs for (20 + D82) modular structures for constructing a prefabricated school building. Each structure provides (1,000 + D8x100) square feet of floor space. In 2017, you had experience in producing a similar but smaller (500 square feet of floor space) structure consisting of the same materials and having the same ceiling height. Assume the total costs for each structure have three cost components material costs, manufacturing costs, and costs for one special structure. The total material cost for one similar but smaller structure in 2017 was $ (250,000 + D8x1,000), and the cost capacity factor is (0.60 + D8/100). The cost index values for 2017 and 2022 are 200 and (300 + D8) respectively. The manufacturing costs for the first (1,000 + D8x100) square-feet structure was $ (800,000 + D81,000). Assume a learning curve of (90 + D8)% learning rate. For cost estimation purpose, use the cost of the 100th structure for estimating the manufacturing cost for one modular structure in 2022. (a) Estimate the total material costs for (20 + D8x2) modular structures in 2022. Round off your final answer to the nearest thousand. (b) Estimate the total manufacturing costs for (20 + D8x2) modular structures in 2022. Round off your final answer to the nearest thousand. (c) Assuming one special structure currently costs $ (200,000 + D8x10,000). Estimate the total costs for (20 + D8x2) modular structures in 2022. Round off your final answer to the nearest thousand. how far away is 200 m from -55 m The sum of two numbers is 42. The difference of the two numbers is 30. What are the two numbers. Let x be the larger number and y be the smaller number. Write an equation that expresses the information in the sentence 'The sum of two numbers is 42." _____________Write an equation that expresses the information in the sentence 'The difference of the two numbers is 30." __________Solve the system you have written above. The larger number, x is ______ The smaller number, y is _____ Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Eachsection of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college$29,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $298,000in revenues, how many sections of each course should it offer?Finite MathApplied CalculusComputer MethodsNeed Help?Read Itsection(s)section(s)section(s)Watch It