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

Answer:

y =sin(x)

Step-by-step explanation:

small brain

Answer:

B: k pi for any integer k

Step-by-step explanation:

I took the test

Answer:

26.87877

Step-by-step explanation:

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

1.5 s

Step-by-step explanation:

diver will enter the water when h = 0, therefore we get the equation,

\(0 = -16t^2 + 16t + 12\)

\(4t^2 - 4t - 3 = 0\)

\(4t^2 - 6t + 2t - 3 = 0\)

\((2t + 1)(2t - 3) = 0\)

t = -1/2 is ignored (time cannot be negative)

hence t = 3/2 = 1.5 s

Hopefully this answer helped you!

For matrix (a), the domain has a dimension of 3 and the codomain has a dimension of 2.

For matrix (b), the domain has a dimension of 3 and the codomain has a dimension of 1.

a. The given matrix is:
(1  2  3)
(3 -1  2)

This matrix has 2 rows and 3 columns, making it a 2x3 matrix. When a matrix represents a linear map, the number of rows corresponds to the dimension of the codomain, and the number of columns corresponds to the dimension of the domain. Therefore, for this matrix, the dimension of the domain is 3, and the dimension of the codomain is 2.

b. The given matrix is:
(1 0 1)

This matrix has 1 row and 3 columns, making it a 1x3 matrix. Similarly, the number of rows represents the dimension of the codomain, and the number of columns represents the dimension of the domain. For this matrix, the dimension of the domain is 3, and the dimension of the codomain is 1.

In summary, for matrix (a), the domain has a dimension of 3 and the codomain has a dimension of 2. For matrix (b), the domain has a dimension of 3 and the codomain has a dimension of 1.

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Answer:

In image

Step-by-step explanation:

if y=3x^2

if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3

if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12

Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2

Answer:

67

Step-by-step explanation:

Answer:

The volume of the gas under these circumstances is 30 cm³.

Step-by-step explanation:

To determine the variation equation for this situation, we start with the formula V = Tk/P

where k is the constant of variation.

To solve for k, we use the initial values of V, T, and P

V = 42 cm³, T = 84 °C, P = 50 mmHg

Substituting these values into the formula, we get

42 = 84k/50

Solving for k, we have

k = (42 x 50)/84 = 25

Therefore, the variation equation for this situation is

V = 25T/P

To find the volume of gas when T = 48 °C and P = 40 mmHg, we substitute these values into the variation equation

V = 25 x 48/40 = 30 cm³

Therefore, the volume of the gas under these circumstances is 30 cm³.

Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

Answer:

30x^4-115x^3+127x^2+115x+44

Step-by-step explanation:

This is what I got, let me know if I'm right.

Dividend must be put in AX register when using DIV or IDIV.  True.

In x86 assembly language, the DIV instruction is used for unsigned division, and the IDIV instruction is used for signed division. Both instructions require the dividend to be placed in the AX register.

The AX register is a 16-bit general-purpose register in the x86 architecture. It stands for "accumulator" and is commonly used for arithmetic operations. When using the DIV or IDIV instructions, the dividend value should be loaded into the AX register before executing the instruction.

The DIV instruction divides the contents of the AX register by the specified divisor, and the quotient is stored in the AX register. The remainder of the division operation is stored in the DX register.

Similarly, the IDIV instruction performs signed division. The contents of the AX register (the dividend) are divided by the specified divisor, and the signed quotient is stored in the AX register. The remainder is stored in the DX register.

By placing the dividend in the AX register, the DIV or IDIV instructions know where to find the value to be divided and where to store the result of the division operation. This ensures that the division operation is performed correctly and the resulting quotient or remainder is properly handled.

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Answer:

Perimeter of semi-circle = 16.5 cm.

Step-by-step explanation:

Given that,

Diameter of the semi-circle, \(\text{d} = 10.5 \ \text{cm}\)

So, Radius of the semi-circle, \(\text{r} = 10.5\div2 \ \text{cm}\)

We know that,

Perimeter of a Circle \(= 2\pi r\)

So, Perimeter of a semi-circle \(= \dfrac{1}{2} \times 2\pi r\)

\(= \pi r\)

\(= \dfrac{22}{7} \times 10.5\div2\)

\(= 16.5 \ \text{cm}\)

Hence, Perimeter of the semi-circle with diameter 10.5 cm is 16.5 cm.

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

\(-\frac{3}{2}\)

Step-by-step explanation:

You count up 3 units. Then you count to the left 2 units. It is negative because the line is slanted to the left.

Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.

To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.

To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.

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Therefore, the only solutions within the given interval are the values of x for which cos(x) = 0, namely \(x = (2k + 1)\pi/2,\) where k is any integer, and 0 < a < π.

To find all solutions of the equation cos(x)sin(x) - 2cos(x) = 0, we can factor out the common term cos(x) from the left-hand side:

cos(x)(sin(x) - 2) = 0

Now, we have two possibilities for the equation to be satisfied:

 cos(x) = 0In this case, x can take values of the form x = (2k + 1)π/2, where k is any integer.

 sin(x) - 2 = 0 Solving this equation for sin(x), we get sin(x) = 2. However, there are no solutions to this equation within the interval 0 < a < π, as the range of sin(x) is -1 to 1.

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For the given inequality we know the Gomez family could have purchased at most 6 tickets.

A mathematical statement known as an inequality compares two quantities. When two quantities are related in a way that is not always equal—for example, when one quantity is more than or less than the other—this is referred to as an inequality. In real-world settings, inequalities are frequently used to define restrictions or bounds on an issue. For instance, inequalities can be used to represent the limits on a variable in optimization problems that optimise a certain function.

Let y be the number of tickets purchased by the family.

Then, we can write:

17y ≤ 102

y ≤ 102/17

y ≤ 6

Hence, the Gomez family could have purchased at most 6 tickets.

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The inequality for the possible number of tickets the Gomez family purchased is y ≤ 6.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Let y be the number of tickets purchased by the Gomez family.

The cost of each ticket is $17, so the total cost of y tickets is 17y.

The problem states that the Gomez family spent no more than $102 on tickets, so we can write the inequality -

17y ≤ 102

Simplifying the inequality, we can divide both sides by 17 -

y ≤ 6

Therefore, the number of tickets purchased is y ≤ 6.

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If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30

Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

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Answer:

1st option

Step-by-step explanation:

7x + 7 and 112 are vertically opposite angles and are congruent , then

7x + 7 = 112 ( subtract 7 from both sides )

7x = 105 ( divide both sides by 7 )

x = 15

4y and 112 are adjacent angles and sum to 180° , that is

4y + 112 = 180 ( subtract 112 from both sides )

4y = 68 ( divide both sides by 4 )

y = 17

Answer:

after 5 mins y=1

after 15 y=3

after 20 y=4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

Hopes this helps please mark brainliest

The absolute maximum value of f on set D is 34, and the absolute minimum value is 1.

To find the absolute maximum and minimum values of f(x, y) = x^2 + 9y^2 - 2x - 18y + 1 on the set D = {(x, y) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 3}, we need to evaluate the function at the critical points in the interior of D and on the boundary of D.

Step 1: Critical points in the interior of D:

To find critical points, we take the partial derivatives of f(x, y) with respect to x and y and set them to zero:

∂f/∂x = 2x - 2 = 0

∂f/∂y = 18y - 18 = 0

Solving these equations, we find the critical point (1, 1).

Step 2: Evaluate f(x, y) on the boundary of D:

- At x = 0, y varies from 0 to 3: f(0, y) = 9y^2 - 18y + 1

- At x = 2, y varies from 0 to 3: f(2, y) = 4 + 9y^2 - 36y + 1

- At y = 0, x varies from 0 to 2: f(x, 0) = x^2 - 2x + 1

- At y = 3, x varies from 0 to 2: f(x, 3) = x^2 - 2x + 19

Step 3: Compare the values obtained in steps 1 and 2:

- f(1, 1) = 1 is the critical point within D.

- f(0, 0) = 1, f(0, 3) = 19, f(2, 0) = 1, and f(2, 3) = 34 are the values on the boundary.

Therefore, the absolute maximum value of f on D is 34, and the absolute minimum value is 1.

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Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

Alternative A

Step-by-step explanation:

Translation using a vector mens that the first number is the translation of the x-coordinate and the second it the translation of the y-coordinate.

So, translation by vector (-3  4) means substracting 3 units from the x-coordinate and adding 4 units to the y-coordinate, so:

P'=(2-3,-3+4)=(-1,1)

Which corresponds to alternative A.

The correct answer is d. we can see the range of values.

Sorting data allows us to arrange the data points in ascending or descending order, which helps us easily identify the minimum and maximum values in the dataset. By observing the range, we can determine the span or spread of the data, providing insights into the variation between the smallest and largest values.

While options a, b, and c are also benefits of sorting data, they are not specific to sorting alone. Frequency distribution, determining shape, and analyzing center and variability can be done using various statistical techniques and measures, such as histograms, measures of central tendency, and measures of dispersion. However, sorting data directly aids in visualizing the range, making option d the most appropriate choice.

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=========================================================

Explanation:

As you probably can guess (or already know), the term "slope intercept form" means that all we need are the slope and y intercept to get the equation.

To get the slope, we need two points. Pick any two points you want. I'll pick (3,-7) and (6,-9). Notice how we go down 2 units and then over to the right 3 units when we move from the first point to the second point.

See diagram below.

So the slope is rise/run = -2/3. The negative rise indicates we go down. The run is always moving to the right. This produces the downhill trend when we move from left to right.

--------------------

We can also use the slope formula. I'll use those two points mentioned earlier.

m = (y2-y1)/(x2-x1)

m = (-9-(-7))/(6-3)

m = (-9+7)/(6-3)

m = -2/3

We get the same result as earlier

--------------------

The y intercept is where the graph crosses the vertical y axis. This is at 5. So b = 5 is the y intercept.

Since the slope is m = -2/3 and the y intercept is b = 5, we go from y = mx+b to y = (-2/3)x-5 which is our final answer.

If you are dealing with a data set that consists of sales with a consistent percentage increase, a multiplicative regression model would be the best method to use.

Multiplicative models are useful when the relationship between variables is not linear, but rather exponential or logarithmic. In the case of sales with a consistent percentage increase, the relationship between sales and time would be multiplicative, because each successive time period's sales would be a multiple of the previous period's sales. Multiplicative models are also useful for dealing with trends that increase or decrease at an accelerating rate, rather than at a consistent rate. In contrast, a simple moving average or a random walk additive regression model would not be appropriate for a data set with a consistent percentage increase, as they assume linear relationships between variables and would not account for the exponential or logarithmic relationship between sales and time.

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Given the regression model, \(Y₁ = 3X₁ + U₁, E[U₁|X₂] ≠ c, = C, E[U²|X₁] = 0² < ∞, E[X₂] = 0.\)

First, let's recall what a regression model is. A regression model is a statistical model used to determine the relationship between a dependent variable and one or more independent variables.

The model can be linear or nonlinear, depending on the nature of the relationship between the variables. Linear regression models are employed when the relationship is linear.

Now, let's examine the model provided in the question: \(Y₁ = 3X₁ + U₁, E[U₁|X₂] ≠ c, = C, E[U²|X₁] = 0² < ∞, E[X₂] = 0.\)

In this model, Y₁ represents the dependent variable, and X₁ is the independent variable. U₁ denotes the error term.\(E[U₁|X₂] ≠ c\), = C implies that the error term is not correlated with \(X₂. E[U²|X₁] = 0² < ∞\)suggests that the error term has a conditional variance of zero. E[X₂] = 0 states that the mean of X₂ is zero.

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