PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation

The multiplicative rate of change of the exponential function represented in the table is given as follows:

1.5.

For an exponential function, when x is increased by one, the output variable y is multiplied by a constant, called multiplicative rate of change of the exponential function.

Then, given a table of values, the rate of change is obtained by the division of two outputs(output with the greater input divided by output with the smaller input) when their inputs have a difference of 1.

Thus, for the table, the rate of change is obtained as follows:

6.75/4.5 = 1.5.

(the difference of the inputs is of 2 - 1 = 1).

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The following factors, among others, could be important in determining how much an antique clock will cost:

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The gross income for selling 348 bushels of apples at a price of $16.50 per bushel is $5,742.

The gross income is the total revenue earned from the sales of a product or service, before any expenses or deductions are taken out. To calculate gross income, we multiply the quantity of goods sold by the price per unit.

In this case, we are given that 348 bushels of apples were sold at a price of $16.50 per bushel. Multiplying these two values together gives us the total revenue earned from the sale of these apples, which is the gross income.

To calculate the gross income, we can use the formula:

Gross income = Quantity sold x Price per unit

Plugging in the given values, we get:

Gross income = 348 x $16.50

Simplifying the calculation, we get:

Gross income = $5,742

Therefore, the gross income for selling 348 bushels of apples at a price of $16.50 per bushel is $5,742.

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Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3

(a) To find the area of the shaded region enclosed by the graphs of f and g, you can use the formula for the area of a region bounded by two functions:

Area = ∫[lower bound]^[upper bound] |f(x) - g(x)| dx

In this case, the lower bound is 0 and the upper bound is 1, so the area of the shaded region is:

Area = ∫0^1 |2x(1 - x) - 3(x−1)x√| dx

You can simplify this expression to:

Area = ∫0^1 |2x - 3x^(3/2)| dx

You can then evaluate the integral to find the area of the shaded region:

Area = [x - (3/2)x^(5/2)]0^1

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

= 1 - (3/2) * 1

= 1 - 1.5

= -0.5

So the area of the shaded region is -0.5.

(b) To find the volume of the solid generated when the shaded region is revolved about the horizontal line y = 2, you can use the formula for the volume of a solid of revolution:

Volume = ∫[lower bound]^[upper bound] π[radius]^2 dx

In this case, the radius of the solid is the distance from the y-axis to the graph of the function, which is 2 - f(x). The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 π[2 - f(x)]^2 dx

= π ∫0^1 [4 - 4x + x^2] dx

= π [x - 2x^2 + (1/3)x^3]0^1

= π [(1/3) - 2 + 1]

= π [(1/3) - 1]

= π (-2/3)

= -2π/3

So the volume of the solid is -2π/3.

(c) To find the value of k for which the volume of the solid with square cross sections is equal to 15, you can write an equation involving an integral expression that can be used to find k.

The volume of the solid with square cross sections is given by the formula:

Volume = ∫[lower bound]^[upper bound] h(x) * g(x) dx

In this case, the function h is given by h(x) = kx(1 - x), and the function g is given by g(x) = 3(x−1)x√. The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 kx(1 - x) * 3(x−1)x√ dx

= 3 ∫0^1 kx(1 - x)(x−1)x√ dx

To find the value of k that makes the volume of the solid equal to 15, you can set the volume equal to 15 and solve for k:

15 = 3 ∫0^1 kx(1 - x)(x−1)x√ dx

k = 15 / 3

Thus, Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3.

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Answer:

what you failed in math test

know your parents will kill you

Answer:

can you type it please?

Step-by-step explanation:

i cants see the problems good

After solving the given expression we get  a = b = 12 and q = r = 24.

A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities. It is written as a tοp number (numeratοr) οver a bοttοm number (denοminatοr), separated by a hοrizοntal line.

Tο subtract 2/3 - 1/4, we need tο find a cοmmοn denοminatοr fοr the twο fractiοns. The smallest cοmmοn denοminatοr is 12, sο we'll cοnvert each fractiοn tο an equivalent fractiοn with a denοminatοr οf 12:

2/3 = 8/12 (multiply bοth numeratοr and denοminatοr by 4)

1/4 = 3/12 (multiply bοth numeratοr and denοminatοr by 3)

Nοw we can subtract the twο fractiοns:

8/12 - 3/12 = 5/12

Sο 2/3 - 1/4 = 5/12.

Tο express the result as a fractiοn in the fοrm x/y, we can simply use the answer we fοund: x = 5, y = 12, sο:

2/3 - 1/4 = 5/12 = 5/12

Similarly, tο express the result as a fractiοn in the fοrm a/b, we need tο find anοther equivalent fractiοn with a cοmmοn denοminatοr. We can use 24 as a cοmmοn denοminatοr this time:

2/3 = 16/24 (multiply bοth numeratοr and denοminatοr by 8)

1/4 = 6/24 (multiply bοth numeratοr and denοminatοr by 6)

Nοw we can subtract the twο fractiοns:

16/24 - 6/24 = 10/24

Sο 2/3 - 1/4 = 10/24.

Tο express the result as a fractiοn in the fοrm a/b, we can simplify the fractiοn by dividing bοth numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 2:

10/24 = (10 ÷ 2) / (24 ÷ 2) = 5/12

Sο we get a=b=12 and q=r=24.

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Answer:

h = 5m

Step-by-step explanation:

A = 1/2bh

15 = 1/2(6)h

15 = 3h

h = 5

Answer:

(6,-6) use midpoint formula

The discount rate raised to nth power.

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between  the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the  investor's, NPV is $0.

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Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

Answer:

Step-by-step explanation:

m ≥ 2-3

m ≥ -1   (graph this on  a number line)

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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Answer:

The slope of the line is \(m = \frac{3}{5}\) and the equation of the line is \(y = \frac{3}{5}\cdot x\).

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of \(x\) there is one and only change in \(y\), fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

\(m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}\) (1)

Where:

\(x_{o}, x_{f}\) - Initial and final x-coordinates of the line.

\(y_{o}, y_{f}\) - Initial and final y-coordinates of the line.

If we know that \((x_{o}, y_{o}) = (0,0)\) and \((x_{f},y_{f}) = (8,4.8)\), then the slope of the line is:

\(m = \frac{4.8-0}{8-0}\)

\(m = \frac{3}{5}\)

From graph we conclude that x-intercept of the line is \(b = 0\). Hence, the equation of the line is \(y = \frac{3}{5}\cdot x\) and we proceed to plot the expression with the help of a graphing tool.

Answer:

1.27 radians

Step-by-step explanation:

Answer:

Step-by-step explanation:

Represent the amount of money each of the boys has by S and A.  Then, symbolically, S = A - 2.  A is the larger amount, S the smaller, and A - S is the difference.

Answer:

[11000, 11600]

Step-by-step explanation:

Give me Brainliest if that helped! :)

Answer:

The answer is 2

Step-by-step explanation:

The values of a and b for the function f(x) = (4x+b)/(ax+7) to have x=5 as a vertical asymptote and y=6 as a horizontal asymptote are a=1/6 and b=24.

For the function to have x=5 as a vertical asymptote, the denominator ax+7 must approach 0 as x approaches 5. This means that a must be equal to 1/6 to make ax+7 equal to 0 when x=5.

For the function to have y=6 as a horizontal asymptote, the limit of f(x) as x approaches infinity should be equal to 6. Therefore, we can use the fact that f(x) approaches b/a as x approaches infinity.

If we set b/a = 6, we can solve for b to get b = 6a.

Substituting the value of a we found earlier, we get b = 4.

Therefore, the values of a and b that satisfy the conditions are a=1/6 and b=24.

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In various settings, such as work or school, measures of location, measures of variability, and measures of association can provide valuable insights and aid in interpreting data.

Let's consider an example from a work setting where employee performance data is collected

Measures of location, such as the mean or median, can illustrate an important aspect of employee performance. By calculating the mean performance score, we can identify the average level of performance across the organization. This measure helps us understand the central tendency of the data and provides a benchmark to assess individual employee performance against the average. If the mean performance score is low, it indicates the need for improvement in overall performance.

Measures of variability, such as the standard deviation, can indicate the spread or dispersion of performance scores. A high standard deviation suggests a wide range of performance levels among employees, indicating a lack of consistency. This insight prompts organizations to investigate the underlying factors contributing to the variability and identify areas for improvement in training, resources, or performance management processes.

Furthermore, measures of association, such as correlation coefficients, can help identify relationships between variables. For example, we can explore the correlation between employee performance scores and factors like years of experience, education level, or training hours. Understanding these associations can guide decision-making processes, such as designing targeted training programs for employees who exhibit a lower correlation between training hours and performance.

By applying these measures and interpreting the data, organizations can gain valuable insights into employee performance. This understanding can lead to improved decision-making, such as identifying areas for performance improvement, optimizing resource allocation, and implementing targeted interventions to enhance overall productivity and success within the work setting.

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The magnitude of the acceleration is approximately -0.267 m/s², and the car does not hit the deer.

To find the magnitude of acceleration, we need to consider the forces acting on the car. The gravitational force component parallel to the incline is given by \(\( F_g = m \cdot g \cdot \sin(10^\circ) \)\), where \(\( m \)\) is the mass of the car and \(\( g \)\) is the acceleration due to gravity. The frictional force opposing the motion is given by \(\( F_f = m \cdot g \cdot \cos(10^\circ) \cdot \mu_k \)\), where \(\( \mu_k \)\) is the coefficient of kinetic friction.

The net force acting on the car is the difference between the gravitational force and the frictional force: \(\( F_{\text{net}} = F_g - F_f \)\).

Using Newton's second law, \(\( F_{\text{net}} = m \cdot a \)\), where \(\( a \)\) is the acceleration. We can solve for \(\( a \)\) by rearranging the equation: \(\( a = \frac{F_{\text{net}}}{m} \)\).

Substituting the given values and calculating the magnitude of acceleration:

\(\[ a = \frac{m \cdot g \cdot \sin(10^\circ) - m \cdot g \cdot \cos(10^\circ) \cdot \mu_k}{m} \\\)

\(\quad = g \cdot (\sin(10^\circ) - \cos(10^\circ) \cdot \mu_k) \]\)

Now, let's calculate the value of the acceleration. We are given that the speed of the car is 25 mph, which is equivalent to \(\( 25 \times \frac{1609}{3600} \)\) m/s.

Using \(\( g = 9.8 \, \text{m/s}^2 \)\) and \(\( \mu_k = 0.4 \)\), we have:

\(\[ a = 9.8 \cdot (\sin(10^\circ) - \cos(10^\circ) \cdot 0.4) \approx -0.267 \, \text{m/s}^2 \]\)

The negative sign indicates that the acceleration is in the opposite direction of the car's motion.

To determine if the car hits the deer, we need to compare the stopping distance of the car to the distance to the deer. The stopping distance can be calculated using the equation: \(\( d = \frac{v^2}{2 \cdot a} \)\), where \(\( v \)\) is the initial velocity and \(\( a \)\) is the acceleration.

Substituting the given values, we have:

\(\[ d = \frac{(25 \times \frac{1609}{3600})^2}{2 \cdot (-0.267)} \approx 596 \, \text{m} \]\)

Since the stopping distance (596 m) is greater than the distance to the deer (25 m), the car does not hit the deer.

Therefore, the magnitude of acceleration is approximately \(\( -0.267 \, \text{m/s}^2 \)\) and the car does not hit the deer.

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Answer:

Angle 1 - 24 degrees

Angle 2 - 48 degrees

Angle 3 - 66 degrees

Angle 4 - 66 degrees

Angle 5 - 24 degrees

Angle 6 - 66 degrees

Angle 7 - 132 degrees

Step-by-step explanation:

I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.

The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.

The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.

Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.

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Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

The number of dishes the crispy clover has in his new menu can be expressed as  D + (1/5)D.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, and subtraction operations.

Given data -

20% more dishes are available on the new menu than the old one.

D foods were on the previous menu.

As 20% more dishes are added,

Therefore we can also write it as (20/100)D

Now the total dishes in the new menu can be expressed as

= D + (20/100)D

= D + (1/5)D

Therefore the number of dishes the crispy clover has in his new menu can be expressed as  D + (1/5)D.

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The complete question is:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?