6. Over the long weekend, Mr. Kearns spends of his time working, of his
time sleeping, and of the remaining time exercising. The rest is for
eating. If the amount of time he eats is 6 hours, what is Mr. Kearns's total
time?

that in the second year, we use the beginning book value of $639,900

a. Sum-of-the-years’-digits method:

To compute the depreciation using the sum-of-the-years’-digits method, we first need to determine the total number of years of the asset's useful life. We do this by subtracting the salvage value from the cost and dividing by the estimated yearly depreciation.

Cost of asset = $711,000

Salvage value = $60,000

Useful life = 20 years

Yearly depreciation = (Cost - Salvage value) / Useful life

Yearly depreciation = ($711,000 - $60,000) / 20 = $32,550

To calculate the sum-of-the-years’-digits (SYD) for this asset, we add up the digits of the useful life in descending order. For a 20-year useful life, the SYD would be:

SYD = 20 + 19 + 18 + ... + 1 = 210

Using the SYD and the number of remaining years, we can calculate the depreciation expense for each year as follows:

Year 2020:

Depreciation expense = (20/210) x ($711,000 - $60,000) = $64,286

Year 2021:

Depreciation expense = (19/210) x ($711,000 - $60,000) = $60,952

b. Double-declining-balance method:

To compute the depreciation using the double-declining-balance (DDB) method, we first need to determine the asset's straight-line depreciation rate, which is calculated as follows:

Straight-line depreciation rate = 1 / Useful life

Straight-line depreciation rate = 1 / 20 = 0.05

The DDB depreciation rate is twice the straight-line rate, or 0.10. We can then calculate the depreciation expense for each year as follows:

Year 2020:

Depreciation expense = Beginning book value x DDB rate

Beginning book value = Cost of asset

Depreciation expense = $711,000 x 0.10 = $71,100

Year 2021:

Depreciation expense = Beginning book value x DDB rate

Beginning book value = Cost of asset - Accumulated depreciation from previous years

Accumulated depreciation (2020) = $71,100

Beginning book value (2021) = $711,000 - $71,100 = $639,900

Depreciation expense = $639,900 x 0.10 = $63,990

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Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

Step-by-step explanation this is a tough one but i know everything the answer is 69

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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Answer:

is there an equation for the problem?

Step-by-step explanation:

Answer:

11/24 pound

i think so right

Answer:

the number --4

Step-by-step explanation:

-7--4=-3

-3--4=1

1--4=5

5--4=9

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

a

Step-by-step explanation:

Answer:

A. is 99.9 which is greater than 90 and less than 100.

C. is 97.8 which is greater than 90 and less than 100.

D. is 95.2 which is greater than 90 and less than 100.

Step-by-step explanation:

Calculators are your bestfriend.. ^-^

A polynomial function f(x) of degree 3 with given zeros, 2, -3 , 5 and condition f(3)=6 is given by f(x) = -1/2 (x-2)(x+3)(x-5).

Degree of the polynomial function is equal to 3.

Zero's of the polynomial function is equal to 2, -3 , 5 .

And f(3) = 6

If 2, -3, and 5 are zeros of f(x), then we can write function as,

f(x) = a(x-2)(x+3)(x-5)

where a is some constant.

To determine the value of a, we can use the fact that f(3) = 6.

Substituting x = 3 into the equation above, we get,

f(3) = a(3-2)(3+3)(3-5)

     = -12a

Here we have,

f(3) = 6, so we can set these two expressions equal to each other and solve for a,

⇒ -12a = 6

⇒ a = -1/2

Now we can substitute this value of a back into the equation for f(x) that we found earlier,

⇒ f(x) = -1/2 (x-2)(x+3)(x-5)

Therefore, a polynomial function f(x) of degree 3 with zeros 2, -3, 5, and f(3) = 6 is equal to f(x) = -1/2 (x-2)(x+3)(x-5).

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Solution

Probability = number of required outcome / number of possible outcome

Probability that the person is a republican who said No = 142

Total = 1027

Therefore the Probability that the person is a republican who said No is 13.8 %

Answer:

A

Step-by-step explanation:

I hope this helped you :-)

B. 5,000 feet

0.5 miles is only 3,390ft

500 yards is only 1,500ft

5,000 inches is only 416ft 8in

Hope this helps! :)

Here it is given that

\(\displaystyle \sf{f(t) = 50 \: \sin(100\pi t+ 0.4)}\)

Now

\(\displaystyle \sf{f \bigg( \frac{1}{50} + t \bigg) }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[100\pi \bigg( \frac{1}{50} + t \bigg)+ 0.4 \Bigg] }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(100\pi \times \frac{1}{50} + 100\pi t \bigg)+ 0.4 \Bigg] }\)

\(\displaystyle \sf{ = 50 \: \sin \Bigg[ \bigg(2\pi + 100\pi t \bigg)+ 0.4 \Bigg] } \\ \\ \displaystyle \sf{ = 50 \: \sin ( 100\pi t + 0.4 ) }\)

\(\sf{ = f(t)}\)

Based on the proof, the function \(f(\frac{1}{50} +t)\) is equal to f(t).

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.

Given the following function:

In this exercise, you are required to show that the given function is equal to \(f(\frac{1}{50} +t)\).

Substituting for t, we have:

\(f(\frac{1}{50} +t)=50sin(100 \pi (\frac{1}{50} +t)+0.4)\\\\f(\frac{1}{50} +t)=50sin( \frac{100 \pi}{50} +100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=50sin(100 \pi t+0.4)\\\\f(\frac{1}{50} +t)=f(t)\)

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Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

The critical number of function f(x) = (x - 2)² is x = 2. The function is decreasing in the interval (-∞, 2) and increasing in the interval (2, ∞).

The critical number of a function f(x) is the value of x such that f '(x) = 0.

In this problem, the given function is a quadratic equation:

f(x) = (x - 2)²

Take the derivative:

f ' (x) = 2(x - 2)

f ' (x) = 0

Hence,

2(x - 2) = 0

x = 0

Hence the critical  number is x = 2.

To find the interval on which the function is increasing or decreasing, recall that the graph of a quadratic equation is a parabola.

In this case, f(x) = (x - 2)² opens upward since the coefficient of x² is positive, hence, it has a minimum extreme point. In a parabola, the graph changes its direction after its critical number.

Hence, f(x) =  (x - 2)²  is decreasing in the interval (-∞, 2) and increasing in the interval (2, ∞)

The graph is shown in the attached picture.

Your question is incomplete. Most likely it was:

find the critical numbers and the open intervals on which the function is increasing or decreasing. use a graphing utility to verify your results. f(x)  = (x - 2)² .

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Answer:

Selling Price = Cost + $3.00

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

The merchant uses Selling Price = Cost + $3.00 to determine the selling price.

Addition is a process of combining two or more numbers.

A merchant adds $3.00 to his cost to determine his selling price.

The cost is denoted by c.

The selling price is given by f(c).

As there is given add in the sentence, it means we have to use the addition rule.

Selling price is the sum of cost plus three

Selling Price = Cost + $3.00

So the table becomes as below

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

Hence, the merchant uses Selling Price = Cost + $3.00 to determine the selling price.

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Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

128

Step-by-step explanation:

multiply length, width, and hight.

[Not including the "triangle roof"] 128 in²

    V = L * W * H

    V = 8 in * 4 in * 4 in

    V = 128 in²

[Including the "triangle roof"] 176in²

    V = \(\frac{ L * W * H}{2}\)

    V = \(\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}\)

    V = \(\frac{96\;in^2}{2}\)

    V = 48 in²

        -

    48 in² + 128 in² = 176in²

Answer:

3 1-dollar-bills. 1 dime. 1 nickel. 1 penny

$3.16 in return.

Answer:

Answer of this question is 10

Answer:

C -1

Step-by-step explanation:

in such a case the simplest way is to simply try the 4 numbers and see :

x² - 3x - 4 = |x + 3| - 2

x² - 3x - 2 = |x + 3|

A x = -4

(-4)² - 3×-4 - 2 = |-4 + 3|

16 + 12 - 2 = 1

26 = 1

wrong.

B x = -3

(-3)² - 3×-3 - 2 = |-3 + 3|

9 + 9 - 2 = 0

16 = 0

wrong.

C x = -1

(-1)² - 3×-1 - 2 = |-1 + 3|

1 + 3 - 2 = 2

2 = 2

correct.

D x = 4

4² - 3×4 - 2 = |4 + 3|

16 - 12 - 2 = 7

2 = 7

wrong.

Answer:

Step-by-step explanation:

The expression that will help him to determine the total cost is as follows:

y = 60 + 4x

He signed up to provide snacks for his daughter and her school group's camping trip.

He found a package of granola bars in bulk for $60 that he thought would be enough for everyone for a few days.

He also wanted to buy some boxes of fruit snacks, which were $4 each.

The number to buy and the total cost can be expressed as follows:

let

y = total cost

x = number of boxes of fruit juice.

Therefore, the  expression that will help him to determine the total cost is as follows:

y = 60 + 4x

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The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

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Answer:

158

Step-by-step explanation:

Answer:

I am willing to help you, Geometry is my best class.

Step-by-step explanation:

Answer:

I can help on insta

Step-by-step explanation:

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer:

1.A

Step-by-step explanation:

yan po ang Tama po ang sagot..ko