What is x 3/4 + 3x = 3 + 5x

Answer: y=-5/2x+9/2

Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.

y-3=-5/2(x+4)

multiply x and 4 by -5/2

y-3=-5/2x+3/2

add 3 to both sides

y=-5/2x+9/2

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer: A

Step-by-step explanation: it has to be a low number and that’s a low number.

A polynomial more than 3 terms is read as trinomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

hence, a polynomial more than 3 is trinomial or cubic.

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Answer:

4x+2

Step-by-step explanation:

I'm not sure what they mean by defining a variable but this question could be modeled through the following equation

4x+2 where x (the variable) is a book

Answer:

1 1/3?

Step-by-step explanation:

The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

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Answer:

Step-by-step explanation:

Answer:

5.7%

Step-by-step explanation:

hope this helps

Answer:

5.7%

Step-by-step explanation:

3/53=5.660377358491

5.660377358491≅5.7

\(2+2+2+2+8+8+8\)

Add up the 2's:

\(2+2+2+2\\=8\)

Add up the 8's:

\(8+8+8\\=24\)

Add both numbers together:

\(8+24\\=\fbox{32}\)

Answer:

32

Step-by-step explanation:

2+2+2+2=8

8+8+8=24

24+8=32

Answer:

60 meters

Step-by-step explanation:

Mrs. Kemp would have to walk 5 meters to the right to be 12 meters in front of Wesley. She'd then have to walk 12 meters in order to meet Wesley. 12 multiplied by 5 is 60. Hope that makes sense

The length of the shadow of the object is 1.5 m or 150 cm.

Let's draw a diagram to help us visualize the problem:

           /|

         /  |

       /    |

 A /___|_B

   8m   4m

In the diagram, point A represents the position of the spotlight on the ground, point B represents the position of the object on the wall,

and the line connecting A and B represents the beam of light from the spotlight to the object.

Let h be the height of the shadow on the wall, and let x be the distance from the spotlight to the object. Then we have two similar triangles:

  |\

  |  \

h |    \   3

  |___\

    x   8

Using the similar triangles, we can write:

h/3 = (8-x)/8

Simplifying this equation, we get:

h = 3(8-x)/8

Now we need to find the rate at which h is changing with respect to time. We can use the chain rule:

dh/dt = dh/dx * dx/dt

We know that dx/dt = 7 m/s, and we can find dh/dx by differentiating the equation for h with respect to x:

dh/dx = -3/8

So we have:

dh/dt = (-3/8) * 7 = -21/8 m/s

Since dh/dt is negative,

the height of the shadow is decreasing at a rate of 21/8 m/s.

When the object is 4 meters away from the wall, x = 4, so we can find the height of the shadow:

h = 3(8-4)/8 = 3/2 meters

Therefore, the length of the shadow of the object on the building when the object is 4 meters away from the wall is 1.5 meters or 150 centimeters.

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Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Mean = 2 Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2. The percentage times the sample size yields the equivalent number of households:

75% x 40 = 30 Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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On solving the provided question, we can say that the expression, we have here is 4 7. |10|= 470 or -470

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

the expression, we have here is

4 7. |10|= 470 or -470

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As given by the question

There are given that the number

Now

From the given number,

We can read, eighty-six point seven four five zero.

Hence, option B is correct.

The lengths of all four sides of parallelogram ABCD are AB = 10 cm, BC = 33 cm, CD = 10 cm, and AD = 33 cm.

Let AB = x, then AD = 2x + 13 (since AD is 13 cm more than twice AB).

The perimeter of parallelogram ABCD is 2(AB + AD) = 2(x + 2x + 13) = 6x + 26.

Given that the perimeter of ABCD is 86 cm, we can set up an equation:

6x + 26 = 86

Solving for x, we get x = 10.

So AB = x = 10 cm, and AD = 2x + 13 = 33 cm.

Since opposite sides of a parallelogram are equal in length, we have BC = AD = 33 cm and DC = AB = 10 cm.

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Leave a tip of $3.00 on a $20.00 bill is an appropriate gesture for a 15% tip based on appropriate percentage.

Leaving a tip for good service at a restaurant is a common practice, and it shows appreciation and respect for the hard work of the staff. Mary and John's bill at a restaurant is $20.00, and they plan to leave a 15% tip for the server based on percentage.

To calculate the tip amount, we need to convert the percentage into a decimal form by dividing it by 100. Therefore, 15% becomes 0.15 in decimal form. Multiplying this decimal value by the total bill amount of $20.00 gives us the tip amount, which is $3.00.

It is important to note that while tipping is a customary practice, it is not mandatory. The amount of the tip is also subjective and may depend on various factors such as the quality of service, the atmosphere of the restaurant, and the level of satisfaction of the customer. However, a general rule of thumb for good service is to leave a tip of 15% to 20% of the total bill amount.

In conclusion, a $3 tip on a $20 note is a suitable gesture for a 15% tip. It is a modest gesture to thank the server for their hard work and recognize their efforts in making the dining experience enjoyable.

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Complete Question: Mrs. Johnson wishes to leave a 15% tip on a $100 bill at the restaurant. How much money should she leave behind, roughly?

About $5.00 Brought to you by A

B. roughly $15.00 C. roughly $20.00

The correct answer is c. 2.

To evaluate ∫cF · dx along the line segment C' from (0, 0, -1) to (1, 0, 0), we substitute the parametric equations of C' into the integrand F.

The parametric equations of C' can be written as:

x = t, y = 0, z = -1 + t

where t varies from 0 to 1.

Substituting these values into F = V(x² - y² - z²), we have:

F = V(t² - 0 - (-1 + t)²)

 = V(t² - (1 - 2t + t²))

 = V(t² - 1 + 2t - t²)

 = V(2t - 1)

Now, we evaluate ∫cF · dx:

∫cF · dx = ∫₀¹ V(2t - 1) · dt

Integrating with respect to t, we get:

∫cF · dx = V ∫₀¹ (2t - 1) · dt

        = V[t² - t] from 0 to 1

        = V[(1)² - 1] - V[(0)² - 0]

        = V(1 - 1) - V(0 - 0)

        = V(0)

        = 0

Therefore, the value of ∫cF · dx is 0, which corresponds to the option d. 1.

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The balance in the account of Jayden after 5 years will be $3,886.27.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,

A = $2,644.93 x (1 + 0.08)⁵

A = $2,644.93 x (1.08)⁵

A = $2,644.93 x 1.469

A = $3,886.27

The balance in the account of Jayden after 5 years will be $3,886.27.

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The double number line shows that the relationship between the number of apple pies and the kilograms of apples used is proportional, with 3.5 kg of apples needed per pie.

Based on the given information, a double number line can be created to represent the relationship between the number of apple pies and the kilograms of apples used.

Since 14 kilograms of apples make 4 apple pies, we can calculate the amount of apples needed per pie by dividing 14 by 4:

14 kg / 4 pies = 3.5 kg/pie

Using this value, we can create a double number line:

Apple Pies: 1 | 2 | 3 | 4 | 5 | 6 | ...
Apples (kg): 3.5 | 7 | 10.5 | 14 | 17.5 | 21 | ...

So, the double number line shows that the relationship between the number of apple pies and the kilograms of apples used is proportional, with 3.5 kg of apples needed per pie.

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The probability that the average final exam score for a sample of 64 students is between 140 and 150 is approximately 0.2893, or 28.93%.

What is normal distribution?

Normal distribution, also known as Gaussian distribution or bell curve, is a probability distribution that is symmetric and bell-shaped. It is widely used in statistics and probability theory to model a wide range of phenomena observed in nature, society, and various fields of study.

To calculate the probability that the average final exam score for a sample of 64 students is between 140 and 150, we need to use the properties of the normal distribution.

Given:

Mean score (μ) = 149

Standard deviation (σ) = 16

Sample size (n) = 64

Step 1: Find the standard deviation of the sample mean (standard error):

The standard deviation of the sample mean, also known as the standard error, is given by the formula:

Standard error (SE) = σ / √n

SE = 16 / √64 = 16 / 8 = 2

Step 2: Convert the values to z-scores:

To work with the standard normal distribution, we need to convert the values of 140 and 150 to z-scores using the formula:

z = (x - μ) / σ

For 140:

z1 = (140 - 149) / 16 = -9 / 16 ≈ -0.5625

For 150:

z2 = (150 - 149) / 16 = 1 / 16 ≈ 0.0625

Step 3: Find the cumulative probability:

Using the z-scores obtained, we can find the cumulative probability for each z-score using a standard normal distribution table or a statistical software.

P(z1 < Z < z2) = P(-0.5625 < Z < 0.0625)

Consulting a standard normal distribution table or using a statistical software, we find that P(-0.5625 < Z < 0.0625) is approximately 0.2893.

Therefore, the probability that the average final exam score for a sample of 64 students is between 140 and 150 is approximately 0.2893, or 28.93%.

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Using Quadratic formula, the roots of the equation are -11 + √217/6, -11 - √217/6 .

Equations involving quadratics The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax2 + bx + c = 0.

Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax2+bx+c=0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b(b2-4ac))/(2a).

Using Quadratic formula,

3x² + 11x - 8

(-b±√(b²-4ac))/(2a)

⇒ (-11 ± √11² - 4(3)(-8)/2(3))

⇒ -11 ± √217 / 6

⇒ -11 + √217/6, -11 - √217/6

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SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.

There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.

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Answer:

x=3

Step-by-step explanation:

7+4(5/4x-1)=18

7+5x-4=18

3+5x=18

5x=15

x=3

Answer:

x = 3

Step-by-step explanation:

18 = 7 + 4(\(\frac{5}{4}\)x - 1)

18 = 7 + 5x - 4

18 = 3 + 5x

15 = 5x

x = 3

The point which is a solution to the system of inequalities y > 4x and y > -2x - 3, is (-1/2, -2)

A system of inequalities is a set of two or more inequalities in one or more variables.

Given is a system of inequalities :- y > 4x and y > -2x - 3, we need to find a point which will be the solution of the given system,

The given inequalities are :-

y > 4x

y > -2x-3

To solve this, equate the RHS of both the inequalities :-

4x = -2x-3

4x+2x = -3

6x = -3

x = -1/2

Put x = -1/2 in any of the inequality,

y = 4(-1/2)

y = -2

Therefore, we get a point (-2, -1/2) this a point which is a solution of the given system,

We can also find this graphically, we will plot a graph of the given system of inequalities, and where the lines intersects will be the solution to the system of inequalities,

On plotting the graph, we get (-1/2, -2) is the point of the intersection, [refer to graph attached]

Hence, the point which is a solution to the system of inequalities y > 4x and y > -2x - 3, is (-1/2, -2)

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If ⅆy/ⅆt=6e−0.08(t−5)2, y change by c)18.017. as t changes from t=1 to t=6

To find how much y changes as t changes from 1 to 6, we need to integrate the given equation with respect to t from t=1 to t=6:

Δy = ∫₁^₆ 6e^(-0.08(t-5)^2) dt

This integral cannot be evaluated using elementary functions, so we need to use numerical integration methods. Using Simpson's rule with n=10 intervals, we get:

Δy ≈ 18.017

Therefore, the answer is 18.017 (option c).

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Regenerate response

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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