The equation for the linear model that fits this data is y= 1.1x - 5.5. State the slope and explain what it represents in this situation.

The product (k/3) x 12 is greater than 12 for values of k greater than 3.

To determine the values of k for which the product (k/3) x 12 is greater than 12, follow these steps:

Step 1: Set up the inequality:
(k/3) x 12 > 12

Step 2: Simplify the inequality by dividing both sides by 12:
(k/3) > 1

Step 3: Multiply both sides by 3 to solve for k:
k > 3

So, the product (k/3) x 12 is greater than 12 for values of k greater than 3.

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We have the system of equations

Using substitution, we have that

Solving for x, we have that

but this is a contradiction, therefore the system of equations don't have a solution.

We also can notice this if we graph the equations.

From the graph we see that the equations do not intersect, then the system don't have a solution.

The third table gives the correct numeric values for the function in this problem.

To obtain the numeric value of a function or even of an expression, we must substitute each instance of the variable of interest on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is given as follows:

y = 8x + 3.

Hence the numeric values of the function are given as follows:

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It looks like the series could be

\(\displaystyle 1 + 3x + \frac{9x^2}{2!} + \frac{27x^3}{3!} + \cdots = \sum_{n=0}^\infty \frac{3^nx^n}{n!} = \sum_{n=0}^\infty \frac{(3x)^n}{n!}\)

Recall that

\(\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}\)

It follows that the given series is the power series expansion for \(\boxed{e^{3x}}\).

Answer:

x ≤ -15

Step-by-step explanation:

-x / 3 ≥ 5

multiply by 3

-x ≥ 15

add x to both sides and subtract 15 from both sides

-15 ≥ x or x ≤ -15

Answer:

Step-by-step explanation:

я хз

The weight of Kevin's parcel is 60 g.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a postage fee of Rs 2 for each gram of the weight of a parcel and an additional flat rate of Rs 30. and Kevin's postage fee was 150 less than 5 times the weight of his parcel,

Let the weight of the parcel be x

Establishing the equations,

5x - 150 = 30 + 2x

5x - 2x = 30 + 150

3x = 180

x = 180/3

x = 60

Hence, the weight of Kevin's parcel was 60g

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The volume of the cone is changing at a rate of approximately -3368.49 cubic inches per second. The negative sign indicates that the volume is decreasing.

To find the rate at which the volume of the cone is changing, we need to use related rates and the formula for the volume of a cone, which is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height.

Given that the radius is increasing at a rate of 1.8 in/s (dr/dt = 1.8) and the height is decreasing at a rate of 2.6 in/s (dh/dt = -2.6), we need to find dV/dt when r = 150 in and h = 128 in.

First, differentiate the volume formula with respect to time (t):
dV/dt = d(1/3πr²h)/dt

Apply the product rule and chain rule:
dV/dt = (1/3)π[2rh(dr/dt) + r²(dh/dt)]

Now, substitute the given values:
dV/dt = (1/3)π[2(150)(128)(1.8) + (150)²(-2.6)]

Perform the calculations:
dV/dt ≈ (1/3)π[55296 - 58500]

dV/dt ≈ (1/3)π[-3204]

dV/dt ≈ -3368.49 in³/s

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Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Answer:

b

Step-by-step explanation:

b

Answer:

5

Step-by-step explanation:

Answer:$25

Step-by-step explanation:

20% of 125 is $25 dollars so his commission would be $25

Answer:

25 dollars

Step-by-step explanation:

125/100=1.25

multiply by 20

1.25*20=

25 dollars

He does not get the money for the item because the person is a salesman

Brainliest Please

The parametric equation of the line tangent to → {r}(t) at the point (-6,4,-1.386) is:

x = -6+24s

y = 4 - 8s/9

z = -1.386+ s/24

To find the parametric equation of the line tangent to → {r}(t) at the point (-6,4,-1.386), we need to find the derivative of →{r}(t), evaluate it at t=-6, and use this to get the direction vector of the tangent line.

Then we can use the point-slope form of the equation of a line to get the desired equation.

First, let's find the derivative of → {r}(t):

→ {r}'(t) = < -4t, {4t³-9t²}/{3t²}, -1/4t} >

Now, we can evaluate this at t=-6:

→ {r}'(-6) = < 24, -24/27, -1/(-24) > = <24, -8/9, 1/24 >

This is the direction vector of the tangent line. We can use it to get the parametric equation of the line in point-direction form:

→ {l}(s) = <-6, 4, -1.386 > + s <24, -8/9, 1/24 >

Finally, we can simplify this by multiplying out the scalar multiple:

→ {l}(s) = <-6+24s, 4-8s/9, -1.386+s/24 >

So, the parametric equation of the line tangent to → {r}(t) at the point (-6,4,-1.386) is:

x = -6+24s

y = 4 - 8s/9

z = -1.386+ s/24

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The oldest player is 14 years older than the youngest player.Based on the given line plot, the oldest player is 14 years older than the youngest player.

To determine the age difference between the oldest and youngest players, we need to analyze the line plot provided. The x-axis represents the players' numbers, while the y-axis represents their ages. By examining the plot, we can determine the age of the youngest player, which is 20 years. Similarly, the age of the oldest player can be found to be 34 years.

To calculate the age difference, we subtract the age of the youngest player from the age of the oldest player: 34 - 20 = 14.

Based on the given line plot, the oldest player is 14 years older than the youngest player.

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The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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Answer:

the absolute value of -4.5 is 4.5

Step-by-step explanation:

The absolute value of a number means the distance from 0.

SO if you have -4.5, positive 4.5 is the distance from  0.

-4.5+4.5= 0

Hence that is the reason the absolute value of -4.5 is 4.5

Hope this helps!

By using the rate of change formula for linear equations, we will see that the statement is true.

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

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

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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The value of x from the given equation is -4.

The given equation is x + 3 = -x - 5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

x+3=-x-5

x + x = -5-3 (Transpose variable to LHS of an equation and constant to RHS of an equation)

2x = -8

⇒ x = -4

Therefore, the value of x from the given equation is -4.

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The term "quadratic" refers to something that is related to the mathematical concept of a quadratic function or equation.

In mathematics, a quadratic function is a polynomial function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which has a symmetric U-shape.

Quadratic equations can be solved using a variety of methods, including factoring, completing the square, and using the quadratic formula. They have many applications in physics, engineering, economics, and other fields.

In everyday language, the term "quadratic" is sometimes used to describe something that has a parabolic or U-shaped curve, or to refer to something that is complex or difficult to understand.

Brainliest?

Answer:

a function

Step-by-step explanation:

Answer:

0.15866 ; 0.0071627

Step-by-step explanation:

Given that:

Mean (m) = 298

Standard deviation (s) = 3

A.) P(x < 295)

Using the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (295 - 298) / 3 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

B.)

Z = (x - m) / s /sqrt(n)

Z = (295 - 298) / 3/sqrt(6) = −2.449489

p(Z < - 2.449) = 0.0071627 ( Z probability calculator)

Given values are:

Mean,

Standard deviation,

(a)

P(x < 295)

The standardized score will be:

→ \(Z = \frac{(x-m)}{s}\)

By substituting the values, we get

      \(= \frac{(295-298)}{3}\)

      \(= \frac{-3}{3}\)

      \(= -1\)

Now,

By using the Z probability calculator, we get

→ \(p(Z< -1) = 0.15866\)

(b)

The standardized score will be:

→ \(Z = \frac{x-m}{\frac{s}{\sqrt{n} } }\)

By putting the values,

      \(= \frac{295-298}{\frac{3}{\sqrt{6} } }\)

      \(= -2.449489\)

Now,

→ \(p(Z < -2.449)= 0.007163\)

Thus the responses above are correct.

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Anurag walks 2 km every day on his way back.

i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.

Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.

Total distance = 12 km

Distance covered by auto = 1/6 * 12 km = 2 km

Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km

Distance covered by bus = 4/5 * 10 km = 8 km

Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km

Therefore, Anurag walks 2 km every day on his way back.

ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.

Distance walked every week = Distance walked every day * Number of days

Distance walked every week = 2 km/day * 5 days/week = 10 km/week

Therefore, Anurag walks 10 km every week.

iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.

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Answer:

4(0.5-3)=n-0.25(12-8n)

2-12=n-3+2n

-10=-3+3n

-10+3=3n

-7=3n

n=-2.3

Answer: n= -7/3

Step-by-step explanation:

4(0.5 - 3) = n - 0.25(12 -8n)  solve for n .

2 - 12 = n - 3 + 2n  

 -10 = 3n - 3

+ 3           +3

n = -7/3

The equation is c = -5f + 35. f is the independent variable while c is the dependent variable

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

The variable f(number of friends) is the independent variable (input value) while c(number of carrots) is the dependent variable (output value)

From table, using pairs (1, 30) and (2, 25):

c - 30 = [(25 - 30)/(2 - 1)](f - 1)

c - 30 = -5(f - 1)

c = -5f + 35

The equation is c = -5f + 35

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Answer:

equiangular -right -obtuse -acute.

Answer:

Options C and D

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices,

X → (0, 0)

Y → (-1, -2)

Z → (0, -2)

Rule for the rotation of a  point (h, k) by 180° about the origin is given by,

(h, k) → (-h, -k)

By this rule,

Coordinates of the image points will be,

X(0, 0) → X'(0, 0)

Y(-1, -2) → Y'(1, 2)

Z(0, -2) → Z'(0, 2)

Therefore, Option (C) and Option (D) are the correct options.

Answer

C/D

Step-by-step explanation:

Using the SSA method, the maximum number of triangles that can be generate is 1.

In the given question,

In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.

As we know that,

There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.

So the maximum number of triangles that can be generate is 1.

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Rewrite the expression using the definition of base of a log:

Answer:

a = 27

The cost of the item is = $15.70

The company operating expenses = 17% of the cost

Net profit = 7 % of cost

The company operating expenses = 17% of cost of the item

The cost of the item = $15.70

Operating expenses = 17% x 15.70

Operating expenses = 17/100 x 15.70

Operating expenses = 0.17 x 15.70

Operating expenses = $ 2.669

The net profit =7% of cost

Net profit 7/100 x 15.70

Net profit = 0.07 x 15.70

Net profit= $1.099

Profit = cost - selling price

Profit = $1.099

Total cost = cost of the item + operating expenses

Total cost = $15.70 + $2.669

Total cost = $18.369

1.099 = 18.369 - selling price

Isolate selling price

1.099 - 18. 369 = - selling price

- $17.27 =

Answer:

Step-by-step explanation:

I would use the Horner method.

f(x) = x³ – 3x² – 10x + 24

f(2) = 2³ - 3·2² - 10·2 +24 = 0   ⇒ x=2 is the root of function

So:

    |   1   | -3   |  -10  |  24 |

2  |   1   |  -1   |  -12  |  0   |

therefore:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x² – x – 12)

For  x² – x – 12:

\(x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3\)

It means:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x – 4)(x + 3)