What does x equal in this problem ?

Answer:

x= 10

Step-by-step explanation:

Answer:

Hiiiiiii :)

Step-by-step explanation:

A function assigns the values. The graph can be plotted as shown below.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,

g(x) = -3(1/2)ˣ

g(-2) = -3(1/2)² = -0.75

g(-1) = -3(1/2)¹ = -1.5

g(0) = -3(1/2)⁰ = -3

g(1) = -3(1/2)¹ = -1.5

Hence, the graph can be plotted as shown below.

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The probability that it won't rain given that your algorithm predicted a rainy day is approximately 9.1%. The probability that it will rain given that your algorithm predicted a dry day is approximately 0.01%.

When the algorithm predicts rain, it has a 90% accuracy rate, meaning that it correctly predicts rain 90% of the time. However, since the overall probability of rain in city X is only 1%, most of the algorithm's rainy predictions will be false positives. Using conditional probability, we can calculate the probability of no rain given a rainy prediction as follows: (0.01 * 0.1) / (0.01 * 0.1 + 0.99 * 0.9) ≈ 0.0091 or 9.1%.

Conversely, when the algorithm predicts a dry day, it has a 99% accuracy rate, meaning that it correctly predicts no rain 99% of the time. Since the overall probability of rain is 1%, the algorithm's dry predictions will mostly be true negatives. Using conditional probability again, we can calculate the probability of rain given a dry prediction as follows: (0.99 * 0.01) / (0.99 * 0.01 + 0.01 * 0.9) ≈ 0.0001 or 0.01%.

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The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.

The equation of a straight line is given by the equation

y= mx+c

Where m is the slope and

c is the intercept on y axis.

The given data is

line passes through the point (3,-2) with slope -2.

m = -2

y = -2x + c

-2 = - 2 * 3 +c

-2 = -6 +c

c = +4

y = -2x+4

Therefore Option B is the correct answer.

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By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

We can start by determining the common factor between the two terms in order to factor the phrase 0.15c - 0.072. The common factor in this situation is 0.006, which we may factor out to obtain:

0.15c - 0.072 = 0.006(25c - 12) (25c - 12)

As a result, factoring the expression 0.15c - 0.072 gives 0.006 (25c - 12).

It is possible to utilise this factored form to further simplify calculations or to resolve equations that contain this statement. If we needed to find c in the equation 0.15c - 0.072 = 0, for instance, we could use the factored form to obtain:

0.006(25c - 12) = 0

25c - 12 = 0

c = 12/25

In conclusion, factoring the expression 0.15c - 0.072 involves finding the common factor between the two terms, which is 0.006. By factoring out this common factor, we obtain the simplified expression 0.006(25c - 12).

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Answer:

50%

Step-by-step explanation:

Answer:

No it's not an Arithmetic Sequence since it doesn't have a constant common ratio

Hope this helps!

Answer:

14.4

Step-by-step explanation:

Change 8% to a decimal which is 0.08 and then multiply 180 × 0.08 then you should get 14.4 Hope this Helps

Answer:

A

Step-by-step explanation:

The solution to the equation is (a) -2.

To solve the equation log(3x) = log(2) + log(x - 1), we can use the properties of logarithms.

According to the logarithmic property log(a) + log(b) = log(ab), we can rewrite the equation as:

log(3x) = log(2(x - 1))

Since the logarithm function is one-to-one, we can equate the expressions inside the logarithms:

3x = 2(x - 1)

Expanding the equation:

3x = 2x - 2

Bringing all terms to one side:

3x - 2x = -2

x = -2

Therefore, the solution to the equation is x = -2.

The correct answer is (a) -2.

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For the given matrix A = 0 0 0 0 1 1, the eigenvector X₁ = (-3, 1, -1) has an eigenvalue λ = 1, and the eigenvector X₂ = (1, 0, 0) also has an eigenvalue λ = 1.

To find out if the vectors X₁ = (-3, 1, -1) and X₂ = (1, 0, 0) are eigenvectors of matrix A and determine their corresponding eigenvalues, we need to check if the equation A * X = λ * X holds true for each vector, where A is the given matrix, X is the eigenvector, λ is the eigenvalue, and * denotes matrix multiplication.

Let's start by checking X₁ = (-3, 1, -1):

A * X₁ = 0 0 0   -3   =  0 0 0   (-3, 1, -1)

       0 1 1    1        0 1 1

        = (-3, 1, -1) - 3(1, 0, 0)

        = (-3, 1, -1) - (3, 0, 0)

        = (-6, 1, -1)

To find the eigenvalue λ, we need to solve the equation A * X₁ = λ * X₁:

(-6, 1, -1) = λ * (-3, 1, -1)

By comparing the corresponding components, we get the following equations:

-6 = -3λ

1 = λ

-1 = -λ

Solving these equations, we find that λ = 1 is the eigenvalue corresponding to X₁.

Now, let's check X₂ = (1, 0, 0):

A * X₂ = 0 0 0   1   =  0 0 0   (1, 0, 0)

       0 1 1   0       0 1 1

        = (1, 0, 0)

To find the eigenvalue λ, we need to solve the equation A * X₂ = λ * X₂:

(1, 0, 0) = λ * (1, 0, 0)

By comparing the corresponding components, we get the following equation:

1 = λ

Therefore, λ = 1 is the eigenvalue corresponding to X₂.

In summary, for the given matrix A = 0 0 0 0 1 1, the eigenvector X₁ = (-3, 1, -1) has an eigenvalue λ = 1, and the eigenvector X₂ = (1, 0, 0) also has an eigenvalue λ = 1.

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p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.

According to the given question.

a and p are two independent events.

Then,

p(a) + p(b) = 1

Also, p(a) = 0.25

⇒ p(b) = 1 - 0.25

⇒ p(b) = 0.75

By using fundamental definition

The conditional probability of event B given event A is P(A|B)= p(B), when two events are independent.

Therefore,

p(a|b) = p(b)

⇒ p(a|b) = 0.75

Hence, p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.

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The correct anwer is C I think... I hope That helps :)

||-//

Answer:

\(A : \frac{5}{8}\)

Step-by-step explanation:

Axis Interception points of \(\frac{5}{8}x - \frac{8}{7} :\) X intercepts: \((\frac{64}{35},0)\), Y intercepts: \((0, -\frac{8}{7})\)

Inverse of \(\frac{5}{8}x-\frac{8}{7}:\) \(\frac{56x+64}{35}\)

Slope of \(\frac{5}{8}x -\frac{8}{7}: m = \frac{5}{8}\)

Hope I helped, if so may I get Brainliest and a thanks?

Thank you, have a good one! =)

The monthly interest rate on Jada's student loans is 0.308%.

To find the monthly interest rate, we convert the annual interest rate of 3.73% to a monthly rate using the formula (1 + Annual Interest Rate)^(1/12) - 1.

Plugging in the values, we get (1 + 0.0373)^(1/12) - 1, which simplifies to approximately 0.003083, or 0.3083% when rounded to the nearest thousandth of a percent.

To calculate the monthly interest rate on Jada's student loans, we first need to convert the annual interest rate to a monthly rate.

The formula to convert an annual interest rate to a monthly rate is:

Monthly Interest Rate = (1 + Annual Interest Rate)^(1/12) - 1

In this case, the annual interest rate is 3.73%. Let's calculate the monthly interest rate:

Monthly Interest Rate = (1 + 0.0373)^(1/12) - 1

Using a calculator, we can find that the monthly interest rate is approximately 0.003083, or 0.3083%.

Rounding to the nearest thousandth of a percent, the monthly interest rate on Jada's student loans is 0.308%.

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Answer:

5 drahms.

Step-by-step explanation:

From the question given above, the following data were obtained:

120 grains = 6 scruples

6 scruples = 2 drahms

300 grains (in drahms) =..?

From the above data,

120 grains = 6 scruples

6 scruples = 2 drahms

Therefore,

120 grains = 2 drahms

Thus, we can obtain 300 grains in drahms as follow:

120 grains = 2 drahms

Therefore,

300 grains = 300 grains × 2 drahms /120 grains

300 grains = (300 × 2)/120 drahms

300 grains = 5 drahms

Therefore, 300 grains is equivalent to 5 drahms.

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

The nth term of a geometric sequence is:

\(a_n=ar^{n-1}\)        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, \(a=3\) and \(r=\frac{6}{3}=2\).

Substitute \(a=3,r=2,n=19\) in (i) to find the 19th term.

\(a_{19}=3(2)^{19-1}\)

\(a_{19}=3(2)^{18}\)

\(a_{19}=3(262144)\)

\(a_{19}=786432\)

Therefore, the 19th term of the given geometric sequence is 786432.

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The graph of the quadratic function y = x² is given by the image presented at the end of the answer.

A function is classified as linear if it has a constant rate of change, and non-linear otherwise.

For linear functions, the highest exponent of the function is of one.

From the table, we get that the output of each of the three inputs is the square of the input, hence the function rule is given as follows:

y = x².

Which is a nonlinear function, as the highest exponent of the function is of two.

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Answer:

22 hours

Step-by-step explanation:

For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.

$350 + $35 = $385

Audrey makes $17.50 an hour.  Set up an equality to find the amount of hours she must work to pay for her car payment and gas.

17.50x > 385

(17.50x)/17.50 > 385/17.50

x > 22

Audrey must work at least 22 hours to pay for her car payment and gas.

Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are: Length = 14 units, Width = 4 units ,Height = 2 units

To maximize the volume of the box, we need to find the dimensions that maximize the volume of the box. Let's assume that squares of side length x are cut out of each corner of the cardboard. Then, the dimensions of the box can be expressed as:

Length = 18 - 2x

Width = 8 - 2x

Height = x

The volume of the box is given by the product of these dimensions:

\(V(x) = (18 - 2x)(8 - 2x)(x)\)

Expanding this equation, we get:

\(V(x) = 4x^3 - 52x^2 + 144x\)

To find the maximum volume, we need to take the derivative of V(x) and set it equal to zero:

\(V'(x) = 12x^2 - 104x + 144 = 0\)

Solving this quadratic equation, we get:

x = 2 or x = 6

We need to check both solutions to see which one gives us the maximum volume.

When x = 2, the dimensions of the box are:

Length = 18 - 2(2) = 14

Width = 8 - 2(2) = 4

Height = 2

The volume of the box is:

V(2) = (14)(4)(2) = 112

When x = 6, the dimensions of the box are:

Length = 18 - 2(6) = 6

Width = 8 - 2(6) = -4 (negative, so this solution is not possible)

Height = 6

Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are:

Length = 14 units

Width = 4 units

Height = 2 units.

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Answer:

\(12x^3+2x\)

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of its sides.

The sides in the triangle shown have lengths \(2x^3+6x\), \(4x^3-5x\), and \(6x^3+x\) in no specific order.

Since its perimeter is given by the sum of its sides, the perimeter is equal to:

\(2x^3+6x+4x^3-5x+6x^3+x\)

Combine like terms:

\(\boxed{12x^3+2x}\)

Answer:

5-0 =15 by using shuvam theorY

There are 693 cubic inches in 3.0 gallons.


To find the number of cubic inches in 3.0 gallons, we need to use a conversion factor.

One gallon is equal to 231 cubic inches (according to the US system of measurement), so we can set up the following proportion:

1 gal / 231 in³ = 3 gal / x

Solving for x, we can cross-multiply and get:

x = (3 gal)(231 in³ / 1 gal)

x = 693 in³

Therefore, there are 693 cubic inches in 3.0 gallons.

Since the original measurement has only one significant figure (3), the final answer should also have only one significant figure (693).

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The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

Given the following data: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min.

Its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

The pile is 10 ft high.

To determine how fast the height of the pile is increasing, we need to differentiate the formula for the volume of a cone with respect to time.

We know that the volume of a cone is given by: \(V = (1/3)πr²h\)

We are given that the base diameter and the height of the cone are always equal, so we can write: r = (d/2)and h = d

where d is the diameter of the base of the cone.

The volume of the cone is given by: V = (1/3)π(d/2)²d

Simplifying, we get:\(V = (1/12)πd³\)

Differentiating both sides with respect to time, we get:

dV/dt = (1/4)πd² (dd/dt)

We are given that dV/dt = 30 ft³/min, and we want to find dd/dt when h = 10 ft.

Substituting V = (1/3)π(10/2)²(10)

= (1/3)π(25)(10)

= (250/3)π and d = 10,

we get:

30 = (1/4)π(10²)(dd/dt)

Simplifying, we get:

dd/dt = 12/π

The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

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Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.

A graph of the system of inequalities is shown on the coordinate plane below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:

Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox television takes 3 person-hours to make, a linear equation to describe this situation is given by:

2x + 3y = 192.

Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;

x + y = 72

For the constraints, we have the following system of linear inequalities:

x ≥ 0.

y ≥ 0.

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Answer:

explanation

Step-by-step explanation:

you would go back for spaces from 7 which is 3

hope this helps:)