what is 11/12+(-7/12) ??

The solution to the system of equations 2x - 2y = 5 and y = 4x - 1 is x = 1/2 and y = -3.

To solve the system of equations by substitution, we need to substitute the value of y from the second equation into the first equation and solve for x.

Given equations:

2x - 2y = 5

y = 4x - 1

Substitute the value of y from equation 2) into equation 1):

2x - 2(4x - 1) = 5

2x - 8x + 2 = 5

-6x + 2 = 5

-6x = 5 - 2

-6x = 3

x = 3 / -6

x = -1/2

Now substitute the value of x into equation 2) to find y:

y = 4(-1/2) - 1

y = -2 - 1

y = -3

Therefore, the solution to the system of equations is x = -1/2 and y = -3.

To confirm the solution, substitute these values into the original equations:

Equation 1):

2(-1/2) - 2(-3) = 5

-1 - (-6) = 5

-1 + 6 = 5

5 = 5 (True)

Equation 2):

-3 = 4(-1/2) - 1

-3 = -2 - 1

-3 = -3 (True)

Both equations hold true when x = -1/2 and y = -3, so the solution is correct.

Hence, the solution to the system of equations 2x - 2y = 5 and y = 4x - 1 is x = -1/2 and y = -3.

For more such questions on equations , click on:

https://brainly.com/question/29174899

#SPJ8

The cylinder is a three-dimensional shape and it has a radius, diameter and a height

Assume the square has the following dimensions:

Base dimensions = x

Height = h

Assume the cylinder has the following dimensions:

Radius  = r

Height = h

When the square is drilled out, the lateral surface area would be:

Lateral Area = Cylinder - Square

This gives

\(Lateral = 2\pi rh - 4xh\)

Factor out 2h

\(Lateral = 2h( \pi h - 2x)\)

Using the same dimensions in (a), we have:

Total surface Area = Cylinder - Square

This gives

\(Area = 2\pi r(r +h) - 2(2x^2 - xh)\)

Factor out 2

\(Area = 2[\pi r(r +h) - (2x^2 - xh)]\)

Using the same dimensions in (a), we have:

Base area = Cylinder - Square

So, we have:

\(Base = \pi r^2 - x^2\)

Using the same dimensions in (a), we have:

Volume = Cylinder - Square

So, we have:

\(Volume = \pi r^2h - x^2h\)

Factor out h

\(Volume = h(\pi r^2 - x^2)\)

Read more about cylinder at:

https://brainly.com/question/9554871

#SPJ1

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

To know more about standard deviation visit:

https://brainly.com/question/29115611

#SPJ11

An elevator descends at a constant speed, the change in elevation after 19 seconds will be an elevation of distance

d= 19v where acceleration remains constant

Generally, An angle is created when a horizontal line and a line of sight are placed side by side.

In conclusion, This angle is known as the angle of elevation. If the line of sight rises above the horizontal line, the angle that is generated is known as an angle of elevation.

Read more about elevation

https://brainly.com/question/481548

#SPJ1

Answer:

\( {8}^{3n} = {8}^{6} \\ 3n = 6 \\ n = 2\)

Answer:

\(n = 2\)

Step-by-step explanation:

\(( {8}^{n} )^{3} = {8}^{6} \)

\( {8}^{n \times 3} = {8}^{6} \)

\(n \times 3 = 6\)

\(n = \frac{6}{3} \)

\(n = 2\)

Answer: 5.5 feet

Step-by-step explanation: First, add the answer up. 24+24+18= 66

then remeber that there are 12 inches per foot, so divide 66/12=5.5

The true statement about the counterexample is;

''The counter example must satisfy the hypothesis of the conditional                       statement.''

The option (2) is correct.

Here;

To prove a conditional statement false we use a counterexample.

We have to write the true statement about the counterexample.

What is Counterexample?

A counterexample is an example in which the hypothesis is true, but the conclusion is false.

Now,

Since, A counterexample is used to prove a conditional statement to be false.

So, To prove a statement to be false, only one counterexample is sufficient.

And, When using a counterexample to prove a conditional statement false.

Then, The counterexample must satisfy the hypothesis of the conditional statement.

Therefore, The true statement about the counterexample is;

''The counterexample must satisfy the hypothesis of the conditional                       statement.''

Hence, The option (2) is correct.

Learn more about Counterexample at:

https://brainly.com/question/13482721

#SPJ1

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

amount he earned for selling all of the oranges =

$0.5 x 100 = $50

% profit = ((50 - 40)/40) x 100% = 25%

Therefore, he made a 25% profit

By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

To learn about dilatation, click here: https://brainly.com/question/29474743

#SPJ4

Answer:

-18/35

Step-by-step explanation:

(-3/5)/(7/6)=

(-3/5)x(6/7)=

(-3x6)/(5x7)=

-18/35

a. To determine the value of a Call option with a strike price of $30 that expires at time t = 3, we need to calculate the option value at time t = 0 using the binomial model.

At each time period, there are two possible stock price movements: an upward jump and a downward jump. We can construct a binomial tree to represent these possibilities.

Starting at time t = 0, the stock price is $40. In the first time period, the stock can go up to $80 or down to $20. In the second time period, the stock can either go up to $160 or down to $40 (from $80), and down to $10 (from $20). Finally, in the third time period, the stock can reach $320, $80, $20, or $5.

To determine the value of the Call option at time t = 0, we need to calculate the option value at each node of the tree and work backwards. At the final nodes (t = 3), we compare the stock prices with the strike price of $30. If the stock price is higher than the strike price, the option value is the difference between the stock price and the strike price. If the stock price is lower, the option value is zero. We then propagate these option values back up the tree, applying the risk-neutral probability and discounting factors at each node, until we reach the initial node (t = 0).

b. Using the put-call parity, we can determine the value of the Put option at time t = 0 by considering the Call option value, the stock price, the strike price, and the present value of the strike price. The put-call parity relationship is given by:

Put Option Value + Stock Price - Call Option Value = Present Value of Strike Price.

In this case, we are given the Call option value from part (a) as the value at time t = 0. The stock price at time t = 0 is $40, and the strike price is $30. Since the interest rate is zero, the present value of the strike price is equal to the strike price itself.

Rearranging the put-call parity equation, we can solve for the Put option value:

Put Option Value = Call Option Value + Present Value of Strike Price - Stock Price.

Plugging in the known values:

Put Option Value = Call Option Value + $30 - $40.

Substituting the Call option value calculated in part (a), we can find the value of the Put option at time t = 0.

In this problem, we are given a binomial model with three time periods and certain stock price movements. We construct a binomial tree to represent the possible stock price paths and determine the value of the Call option at each node of the tree. By comparing the stock prices with the strike price at the final nodes, we calculate the option values at time t = 3 and propagate them back to time t = 0 using the risk-neutral probabilities and discounting factors.

For the Put option, we use the put-call parity relationship to determine its value at time t = 0. By rearranging the equation and substituting the known values, we can find the value of the Put option using the Call option value obtained in part (a). The put-call parity provides a relationship between the values of Put and Call options, stock price, strike price, and the present value of the strike price.

learn more about binomial model here:

brainly.com/question/28647557

#SPJ11

Answer: x= 0.32

Step-by-step explanation:

Q is not cyclic because it contains irrational numbers such as √2 that cannot be generated by any element in Q. R is not cyclic due to its uncountable nature and additional properties as a complete ordered field.

(a) To prove that Q (the set of rational numbers under addition) is not cyclic, we need to show that there is no element in Q that generates the entire group under the operation of addition.

Assume, for contradiction, that Q is cyclic and let q be a generator of Q. This means that every rational number can be expressed as an integral power of q. However, we can find a rational number r that cannot be expressed in this form.

Consider the square root of 2 (√2), which is irrational. If q is a generator of Q, then there exist integers m and n such that q = m/n. However, it is known that √2 is not rational, which means it cannot be expressed as a fraction of two integers. Therefore, √2 cannot be generated by any element in Q, which contradicts the assumption that Q is cyclic. Hence, Q is not cyclic.

(b) Since Q is not cyclic, we cannot deduce directly that R (the set of real numbers under addition) is not cyclic. However, there are other reasons to conclude that R is not cyclic. One such reason is that R is an uncountable set, whereas cyclic groups are countable. Another reason is that R is a complete ordered field, which means it has additional properties not present in cyclic groups. Therefore, we can deduce that R is not cyclic based on these additional characteristics.

To know more about cyclic groups click here: brainly.com/question/30002696

#SPJ11

The simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

Given the expression in the question;

( 1 + 1/3 )² - 2/9

Add the two terms inside the parenthesis

( (3+1)/3 )² - 2/9

( 4/3 )² - 2/9

Apply product rule to 4/3

4²/3² - 2/9

Raise 4 and 3 to the power of 2

16/9 - 2/9

Combine the numerators over common denominator

( 16 - 2 ) / 9

14/9

Therefore, the simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

Learn more about fractions here: https://brainly.com/question/28390184

#SPJ1

Answer:

Both should be 75

Step-by-step explanation:

Please mark Brainliest if I am right.

Answer: Independent variable = c

Dependent variable = v

Step-by-step explanation:

Given variables:

c = the number of Nora's coworkers who attend the picnic

v = the number of veggie burgers

Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.

Therfeore, Independent variable = c

Dependent variable = v

Answer:

length of RT = 4

Step-by-step explanation:

triangle RST has been enlarged by 3 as the length of ST is 3x longer than BC

so the length of RT (12) can be divisible by 3 that gives AC the length of 4cm

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

So,

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ9

Answer:

49/5

Step-by-step explanation:

first add 7 to both sides

then add 2x and 3x

then divid five into both sides

final answer x=49/5

For Part F- Option C is correct.

1.5 days for 1 m2 of reef to accumulate 30 mmol of CaCO3

Graph of carbonate concentration versus time calcification rate.

At 270 umol/kg of seawater carbonate ion concentratio the approximate rate of calcification will be 20 mmol CaCO3 per m2 per day.

So it will take 1.5 days for 1 m2 of reef to accumulate 30 mmol of CaCO3

For Part G-

At 250 umol/kg of seawater carbonate ion concentratio the approximate rate of calcification will be 10 mmol CaCO3 per m2 per day.

So it will take 3 days for 1 m2 of reef to accumulate 30 mmol of CaCO3

The rate at which corals that form reefs lay down their calcium carbonate skeleton is known as coral calcification. It serves as a gauge of coral growth, which is crucial for the sustainability of reef ecosystems.

The long-term biodiversity, and possibly the existence, of coral reefs depends on significant reductions in global CO2 emissions as well as good management of water quality to lessen macroalgal competition and aid coral recovery.

To learn more about calcification rate, visit:

https://brainly.com/question/28400674

#SPJ4

Answer:

31,680

Step-by-step explanation:

you convert one mile into feet then times that number by how many miles there are which is 6

Answer:

1/2

Step-by-step explanation:

60 degrees is the measure of arc BC from the figure

The given diagram is a circle with several arc angles

arcAWB = 120 degrees

The line AC is a diameter

Since the sum of angles on a straight line is 180 degrees, hence:

arc AWB + arcBC = 180

arcBC = 180 - arc ZWX

arcBC = 180 - 120

arcBC = 60 degrees

Hence the measure of the arc BC from the diagram is 60 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

#SPJ1

Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{12\sqrt{3} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2 AC = 12\(\sqrt{3}\) × \(\sqrt{3}\) = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

∠ACB=90° ⇒ ΔABC is right triangle

AB is hypotenuse, ∠BAC=30° ⇒

\(CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}\)

Let's use Pythagorean theorem

\(AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18\)

Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

An equation that involves a number raised to a variable power is known as exponential equation.

An equation representing the number raised to a variable power is exponential growth or decay equation,

y=abˣ

where 'a' and 'b' are constants.

'x' is the variable exponent,

and 'y' represents the resulting value of the expression.

This equation is involve in exponential growth or decay, such as population growth, compound interest, radioactive decay, and so on.

let us consider a simple example.

Suppose we have a bank account with an initial deposit of $1000 dollars and an annual interest rate of 5%.

Use the exponential equation to find out how much money we will have in our account after 'n' years, where 'n' is a whole number.

y=1000⋅(1+0.05)ⁿ

In this equation, a = 1000 represents the initial deposit,

and b = 1.05 represents the interest rate plus 1.

The variable x is replaced by n, which represents the number of years elapsed since the initial deposit was made.

The resulting value y represents the amount of money in the account after n years.

For example, after 5 years, find out how much money we will have in our account by plugging in n = 5.

y=1000⋅(1+0.05)⁵

 ≈1276.28

Therefore, the exponential equation can be used to model any scenario that involves number raised to a variable power.

learn more about exponential equation here

brainly.com/question/29506679

#SPJ4

The given question is incomplete, I answer the question in general according to my knowledge:

Write an equation that involves a number raised to a variable power with example?

The sum of 0.89 and 1.11 will be 2. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Two 10 by 10 grids are shown.

In the first grid, 8 columns and 9 squares are shaded brown and 1 column and 1 square is shaded blue.

The second grid is entirely shaded blue

Then the sum of 0.89 and 1.11 will be

⇒ 0.89 + 1.11

⇒ 2.00

Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer: 42

Step-by-step explanation:

7 * 90/15 = 42