Find an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together 1 y=- 2x 16 GER The equation for the tangent to the curve is (Type an equation.) Choose

The formula for the area of a cube is A = 6s^2

The formula for the area of a cube is A = 6s^2, where s is the length of one side of the cube. To calculate the area of a cube, we simply have to multiply the length of one side of the cube by itself twice. For example, if the length of one side of the cube is 3, then we would take 3 x 3 x 3, which would give us 27. This would mean the area of the cube is 27. If we want to find the area of a cube that has a side length of 10, then we would take 10 x 10 x 10, which would give us 1000. This would mean the area of the cube is 1000. The area of a cube is found by multiplying the length of one side of the cube by itself twice.

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Answer:20.9248 degrees

Step-by-step explanation:

sin(θ)=opposite/hypotenuse

      θ=sin⁻¹(opposite/hypotenuse)

      θ=sin⁻¹(5/14)

      θ=20.9248 degrees      or θ=0.3652 radians

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

\(the \: equipment \: price \: is : 2,200.\)

Step-by-step explanation:

\(let \: the \: original \: price \: be \: x \\ then \: 17.5\% \: of \: x = 385 \\ \frac{17.5}{100} \times x = 385 \\ 17.5x = 100 \times 385 \\ x = \frac{38500}{17.5} \\ x = 2,200.\)

The line integral ∮C f(z) dz is equal to m + n i for all m, n ∈ ℕ. This means that the integral of f(z) around the closed curve C is always a complex constant.

To explain the steps in detail, we first utilized Cauchy's Integral Theorem, which states that if a function is holomorphic inside and on a simple closed curve, then the line integral of the function around the curve is zero. This allowed us to establish that ∮C f(z) dz = 0. Next, we considered a closed curve formed by combining the original curve C with a small circle centered at zo, denoted as C'. By applying Cauchy's Integral Formula, we determined that the integral of f(z) dz along C' is equal to 2πi times the value of f(zo).

Since zo is not on the curve C, the curve C' does not enclose any singularities of f(z). Hence, by Cauchy's Integral Theorem, the integral of f(z) dz along C' is also zero. This led us to the equation ∮C f(z) dz + ∮C' f(z) dz = 0.We then substituted the integral along C' using Cauchy's Integral Formula, resulting in ∮C f(z) dz + 2πi f(zo) = 0. Rearranging this equation, we obtained ∮C f(z) dz = -2πi f(zo).

Finally, we expressed the constant -2πi f(zo) as m + n i, where m and n are integers, demonstrating that ∮C f(z) dz = m + n i for all m, n ∈ ℕ. This establishes the desired result.

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An outlier can falsely indicate correlation when there is none by distorting the overall trend. It can also mask correlation when present by offsetting the relationship.

An outlier is a data point that deviates significantly from the overall pattern or trend in a dataset. It can have different effects on the appearance of correlation depending on its characteristics and position.

An outlier can falsely indicate the presence of correlation when there is none by distorting the overall trend. If an outlier falls in a position that aligns with the expected correlation, it may create the illusion of a relationship. This is represented by option C, where the outlier is located in a place where the correlation would predict.

Conversely, an outlier can mask the presence of correlation when it actually exists. If the outlier is far separated from the rest of the data points, it can disrupt the overall pattern and weaken the observed correlation. This corresponds to option B, where the outlier is significantly separated from the main cluster.

In general, it is reasonable to ignore outliers when studying correlations if they are deemed to be influential or resulting from measurement errors or other exceptional circumstances. However, careful consideration and judgment are necessary before excluding outliers, as they may contain valuable information or represent genuine characteristics of the data.

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Using Algebra operation,

the total revenue from ticket sales on that day is $ 3444..

We have given the following information,

timing of museum for entry is 9:00 am to 5:55pm. i.e 8 hours 55 minutes .

price of ticket for a regular admission= $10

price of ticket for a student admission = $6

30 people's admission in every 5 minutes so,

inclusive there are 9×12=108 five-minute intervals, total of tickets were sold = 108× 30

= 3240

let x student and 3x regular tickets were sold on that day.

then, x+3x= 108× 30 –> x= 3240/4 = 810

put x= 7560 in above formula, for regular admission, 3x=3× 81 = 243

So, the total revenue from ticket sales that day was 243×$10 + 810×$6 = $2430 + $4860

= $7290

Hence, total revenue from tickect sales is $7290.

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Answer:

6,000

I hope this helps u!

Answer:

6000 is the answer!

No, line m and line n are not parallel.

We have,

Two lines are parallel if and only if they have the same slope.

The slope of a line is a measure of how steep the line is, and it is given by the ratio of the change in the y-coordinate to the change in the x-coordinate as we move along the line.

The slopes of two parallel lines are equal, so if line m has a slope of -5/8, any parallel line would also have a slope of -5/8.

However, line n has a slope of 8/5, which is not equal to -5/8.

Therefore,

Line m and line n cannot be parallel.

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The ratio is given as 9 / 26

Total number of miles in the race: 26 miles

Number of miles you've run so far: 17 miles

Miles left to run = Total miles in the race - Miles you've run so far

Miles left to run = 26 miles - 17 miles

Miles left to run = 9 miles

Now, to find the ratio of the number of miles you have left to the total number of miles in the race:

Ratio = Miles left to run : Total miles in the race

Ratio = 9 miles : 26 miles

So the ratio is 9:26.

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Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Replace all Xs with 3

Answer:

I think it's A ,Forgive me if its wrong its not a 100%.

Step-by-step explanation:

But if it is correct, im glad to be of service

Answer:

\(\huge\boxed{y=-16}\)

Step-by-step explanation:

We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.

In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.

\(\frac{x}{y}\)

We know that in the first fraction, x=6 and y=24.

\(\frac{6}{24}\)

And we know that x=-4 but we have an unknown y value.

\(\frac{-4}{y}\)

We can now set these proportions equal to each other and solve for the missing y using cross products.

Hope this helped!

Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The equation of the line is y = 2x + 8 that is parallel to the given line y = 2x + 2 and passes through the point (−3, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are parallel if they have the same slope.

Let us assume that the line is parallel to y = 2x + 2 and passes through the point (−3, 2).

The slope of the line y = 2x + 2 is 2, Since it is parallel, the slope is also 2. hence:

y - y₁ = m(x - x₁)

y - 2 = 2(x - (-3))

y - 2 = 2(x + 3)

y = 2x + 8

The equation of the line is y = 2x + 8

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An equation of the line that is parallel to the given line and passes through the point (−3, 2) is: 4x + 3y = -6.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph (see attachment), we can logically deduce that the line passes through the following points:

Points (x, y) = (3, -1)

Points (x, y) = (0, 3)

Substituting the given parameters into the formula, we have;

Slope, m = (3 + 1)/(0 - 3)

Slope, m = 4/-3

Slope, m = -4/3.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -4/3 = -4/3

Note: m represents the slope.

At point (-3, 2), an equation of the other line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

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

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

y - 2 = -4x/3 - 4

y - 2 = -4x/3 - 4 + 2

y = -4x/3 - 2

Multiplying all through by 3, we have:

3y = -4x - 6

Rearranging the equation, we have:

4x + 3y = -6

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not tryna be rude but theres no map

Step-by-step explanation:

a) The three figures are 480 km, 240 km, and 300 km.

b) Kenzi has driven 60 km further than Jafar.

We have,

a)

The three figures bearing B from A are:

1 cm = 200 km

This means,

AB = 2.4 cm

So,

2.4 x 200 = 480 km

And,

BC has two parts:

1.2 cm and 1.5 cm

1.2 cm x 200 km = 240 km

1.5 x 200 km = 300 km

The three figures are 480 km, 240 km, and 300 km.

Now,

Jafar distance.

= AB

= 480 km

Kenzi distance.

= BC

= 240 km + 300 km

= 540 km

The difference between the distance driven.

= 540 km - 480 km

= 60 km

This means,

Kenzi has driven 60 km further than Jafar.

Thus,

The three figures are 480 km, 240 km, and 300 km.

Kenzi has driven 60 km further than Jafar.

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Answer:

The area is 480

Step-by-step explanation:

Area you have to multiply the sides, so you multiply them.

10 x 6 x 8

60 x 8

480

Your answer is 480

I hope it helps! Have a great day!

Lilac~

Answer:

Yes, you can

Step-by-step explanation:

As a point of reference, assume the equation is:

\(y = 5x\)

Where

\(y = total\ cost\)

and

\(x = pounds\)

In standard unit of conversion:

\(1\ pound = 0.4793\ quart\)

So:

\(x\ pounds = 0.4793x\ quart\)

Substitute 0.4793x for x in \(y = 5x\)

\(y = 5 * 0.4793x\)

\(y = 2.3965x\)

The above equation is the equivalent of \(y = 5x\) in quarts

So, irrespective of what the equation is, you can always substitute quarts into the equation.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

A geometric shape that could be used to model a building with a quadrilateral base and triangular sides is a pyramid.

A geometric shape is a two-dimensional or three-dimensional object that can be described using mathematical formulas and properties. Examples of two-dimensional geometric shapes include squares, circles, triangles, and rectangles. Examples of three-dimensional geometric shapes include cubes, spheres, cylinders, and cones.

Geometric shapes are used in many different fields, including mathematics, science, architecture, engineering, and art. They are important for understanding spatial relationships and for solving problems related to measurement, area, volume, and other geometric properties.

Specifically, the shape would be a triangular pyramid, with the base being a quadrilateral and the sides being triangles.

A cone also has a circular base and curved sides, while a cylinder has circular bases and straight sides. A sphere is a three-dimensional shape with a curved surface, and would not be an appropriate shape to model a building with a quadrilateral base and triangular sides.

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Answer:

The answer is B. Pyramid I just took the test and got it correct.

Answer:

1 & 2

1 & 8

2 & 7

Step-by-step explanation:

Any two angles that add up to 180 degrees (aka a straight line) are supplementary angles.

Answer:

absolute value of 5 is -5

Answer:

i think you meant to type 500 so here you go

Step-by-step explanation:

5 hundred is the absolute value

The function given is:

It is required to find the graph of f(5x).

Recall that the graph of f(kx) for k>1 is the horizontal compression or shrink of the graph of f(x) by k units. The graph is compressed horizontally towards the y-axis.

Graph the given function f(x)=x³+3:

Compress the graph horizontally by k=5 units as shown below:

The required graph is:

The graph that best fits this is graph 4.

The answer is gra

For Quadrilateral ABCD is similar to quadrilateral A'B'C'D' the missing lengths can be solved using option 1 and option 3.

A transformation is a method for changing the two-dimensional position of a polygon or other object on a plane or coordinate system. Two-dimensional figures can move across a plane or coordinate system via mathematical transformations.

The shape in two dimensions before any alteration is known as a preimage or inverse image. The transformed figure is depicted in the picture.

When two figures are similar then the ratio of their segments are equal.

This statement is correctly represented by:

A'B' / AB = A'D' / AD

and

AB / A'B' = AD / A'D'

Hence, for Quadrilateral ABCD is similar to quadrilateral A'B'C'D' the missing lengths can be solved using option 1 and option 3.

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Answer:

8.33

Step-by-step explanation:

He has to be at work by 10:30, but it takes 20 mins to walk

So, 10:30-20 minutes=10:10

We then look at the arrival time closest to this, which would mean he would arrive at 10.06.

trace this back the bus would gett him at 8:38, but its a 5min walk.

8:38-5 minutes+8.33

hope this helps :)

To find out how much money Dan should take out from his bank account, we can calculate 2/5 of his total money.

Fractions are numerical expressions that represent a part of a whole or a division of a quantity into equal parts.

Numerator: The numerator is the number that represents the part of the whole or the quantity being considered. It is located above the fraction line.

Denominator: The denominator is the number that represents the total number of equal parts into which the whole or quantity is divided. It is located below the fraction line.

Given that Dan has $695 in the bank, we can multiply this amount by 2/5 to determine the amount he should take out.

To calculate 2/5 of $695, we can multiply $695 by the fraction 2/5:

2/5 * $695 = ($2/5) * $695 = ($2 * $695) / 5 = $1390 / 5 = $278.

Therefore, Dan should take out $278 from the bank.

In summary, to determine the amount of money Dan should take out, we multiply his total money by the fraction 2/5, resulting in $278.

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5

1/4n + 3

plug 8 in for n so 1/4(8) + 3

1/4 × 8 = 2

2 + 3 =5

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

\(sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

Therefore, we have;

\(sin(60^\circ) = \dfrac{12}{y}\)

From the value of sin(60°), we have;

\(sin(60^\circ) = \dfrac{\sqrt{3} }{2}\)

\(\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}\)

y = 8·√3

\(\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)\)

Answer:

Positive, Positive

Step-by-step explanation:

The only variable is an absolute value which means that as x approaches infinity it can only get bigger and bigger

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation