what is the fraction for 0.457(repeating)

Answer:c

Step-by-step explanation makes:

Answer:

a

Step-by-step explanation:

got it right

Answer:

6h+14k

Step-by-step explanation:

Multiply 2by 3h which gives 6h then multiply 7k by 2 which gives 14k.

Since 6h and 14k are not like terms u cannot add so your answer will be 6h + 14k.

Answer:

9h² + 42hk + 49k²

Step-by-step explanation:

Given

(3h + 7k)²

= (3h + 7k)(3h + 7k)

Each term in the second factor is multiplied by each term in the first factor, that is

3h(3h + 7k) + 7k(3h + 7k) ← distribute both parenthesis

= 9h² + 21hk + 21hk + 49k² ← collect like terms

= 9h² + 42hk + 49k²

Answer:

60 or 60:1 (Depending on the answer choices)

Step-by-step explanation:

160 feet = 1920 inches (160 * 12)

\(\frac{1920}{32} = \frac{60}{1}\)

The scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).

The scale factor is the simplest ratio between the actual and the model's size of the same object.

In the question, we are informed that in a movie, a child who was 32 inches tall was ''blown up'' to be 160 feet tall.

We are asked to determine the scale factor needed for the props in the movie.

To find the scale factor, we first find the size of the child in the movie in inches.

Size = 160 feet = 160*12 inches = 1920 inches.

Now, the scale factor is calculated as the ratio of the actual size to the size in the movie, that is,

Scale factor = 32:1920 = 32/1920 = 1:60.

Therefore, the scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).

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Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

Answer:

u = 4

Step-by-step explanation:

32 = 5u + 3u = 8u ( divide both sides by 8 )

4 = u

Step-by-step explanation:

u=4 after you add or combine like terms , you then divide both sides by the same factor

We need to consider the general problem: \[-(ku')' + cu' + bu = f\]If we discretize by the finite element method with four elements.

On the first and last elements, we use linear shape functions, and on the middle two elements, we use quadratic shape functions. The resulting basis functions are given by:The basis functions ϕ1 and ϕ4 are linear while ϕ2 and ϕ3 are quadratic in nature. These basis functions are such that they follow the property of linearity and quadratic nature on each of the elements.

For the structure of the stiffness matrix K, we need to consider the discrete problem given by \[KU=F\]where U is the vector of nodal values of u, K is the stiffness matrix and F is the load vector. Considering the above equation and assuming constant values of k and c on each of the element we can write\[k_{1}\begin{bmatrix}1 & -1\\-1 & 1\end{bmatrix}+k_{2}\begin{bmatrix}2 & -2 & 1\\-2 & 4 & -2\\1 & -2 & 2\end{bmatrix}+k_{3}\begin{bmatrix}2 & -1\\-1 & 1\end{bmatrix}\]Here, the subscripts denote the element number. As we can observe, the resulting stiffness matrix K is symmetric and has a banded structure.

The element [1 1] and [2 2] are common to two elements while all the other elements are present on a single element only. Hence, we have four elements with five degrees of freedom. Thus, the stiffness matrix will be a 5 x 5 matrix and the structure of K is as follows:

$$\begin{bmatrix}k_{1}+2k_{2}& -k_{2}& & &\\-k_{2}&k_{2}+2k_{3} & -k_{3} & & \\ & -k_{3} & k_{1}+2k_{2}&-k_{2}& \\ & &-k_{2}& k_{2}+2k_{3}&-k_{3}\\ & & & -k_{3} & k_{3}+k_{2}\end{bmatrix}$$Conclusion:In this question, we considered the general problem given by -(ku')' + cu' + bu = f. We discretized it by the finite element method with four elements. On the first and last elements, we used linear shape functions, and on the middle two elements, we used quadratic shape functions. We sketched the resulting basis functions. The structure of the stiffness matrix K was then determined by ignoring boundary conditions. We observed that it is symmetric and has a banded structure.

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Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

The married couples are 1.26 times more likely to have children than those who are not married.

The general gamble is a proportion of the relationship between two factors, and is determined as the proportion of the gamble of an occasion in one gathering contrasted with the gamble in another gathering. For this situation, the occasion of interest is having kids, and the gatherings are hitched and not wedded.

To ascertain the relative gamble, we first need to work out the gamble of having kids for each gathering.

For the wedded gathering, the gamble of having kids is 9768/13213 = 0.7398 or 73.98%.

For the not wedded gathering, the gamble of having kids is 8165/13927 = 0.5868 or 58.68%.

The general gamble is the proportion of these two dangers:

Relative gamble = risk in wedded gathering/risk in not wedded gathering

= 0.7398/0.5868

= 1.2616

Adjusting to two decimal places, the general gamble of having kids for the people who are hitched is 1.26.

This proposes that wedded couples are 1.26 times bound to have youngsters than the people who are not hitched.

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Answer: 2.5

Step-by-step explanation:

\(1 \times 3=3\\\\3-\frac{1}{2}=2.5\)

The graph of the solution of y > -2x + 1 and y ≥ 3x - 2 is shown in the image below.

Given the inequalities,

y > -2x + 1

y ≥ 3x - 2

To graph the solution, first note the slope and y-intercept of each of the line that the inequalities represent, and determine where the shaded region for each will lie across the boundary lines.

y > -2x + 1 will have a slope of -2 and the line will intercept the y-axis at 1. Since the inequality sign is ">", it means he boundary line will be a dotted or dashed line, and the shaded region will be on top of the boundary line.

y ≥ 3x - 2 will have a slope of 3 and its line will intercept the y-axis at -2. The boundary line will be a solid line, and the upper part will be shaded.

Therefore, the graph that shows the solution is given below.

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Answer:

\(\sqrt{7},\sqrt{25},\sqrt{42}\)

Step-by-step explanation:

\(\sqrt{7}\) is 2.65 rounded to the nearest hundrendth.

\(\sqrt{25}\) is 5.

\(\sqrt{42}\) is 6.48 rounded to the nearest hundrendth.

Answer:

A. \(s^2=1,700\)

B. 42.4 inches. It will fit.

Step-by-step explanation:

A.

Let s =  the length of the diagonal across the bottom of the box.

\(w^2+l^2\\\\10^2+40^2 = s^2\\\\100+1,600 = s^2\\\\1,700 =s^2\\\\\)

Therefore, \(s^2=1,700\)

B.

Let r = the length from a bottom corner to the opposite top corner.

\(h^2+s^2\\\\10^2+1,700=r^2\\\\100+1,700=r^2\\\\1,800=r^2 \\\\42.4=r\)

Therefore, the length of the longest tube that will fit in the box is 42.4 inches.

Since the fishing rod is only 42 inches long, which is less than 42.4 inches, by only 0.2 inches, it means it will still fit.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

x=7

Step-by-step explanation:

\(3x-9+12-6x=-18\)

now let’s put together the like terms

\(3-3x=-18\)

\(-3x=-21\)

now we divide \(-21\) By \(-3\)

the result is

\(x=7\)

Answer:

X=7

Step-by-step explanation:

Verification

\(3(7)-9+12-6(7)=-18\\21-9+12-42=-18\\12+12-42=-18\\24-42=-18\)

\(-18=-18\)

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A 70% chance of rain means that there is a higher likelihood of rain occurring compared to other possible weather conditions, but it is not a guarantee.

When a forecaster says there is a 70% chance of rain, it means that, based on their analysis of various weather factors, they believe there is a 70% probability of rain occurring. This percentage represents the likelihood or chance of rain happening.

It's important to note that this is not a definitive prediction that it will rain. Weather forecasting is not an exact science, and there is always some level of uncertainty involved. The forecaster is indicating that, given the current conditions and their expertise, rain is more likely to happen than not.

To put it into perspective, if this weather scenario were repeated 100 times, it is expected that rain would occur in approximately 70 of those instances. The remaining 30 instances would not experience rain.

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Answer:

(2X -5)^2 as a tri nominal:

2x+2x-10

Answer:

4x² - 20x + 20

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

a = 2x  ; b = 5

(2x- 5)² = (2x)² - 2*2x*5 + 5²  {(2x)² = 2x * 2x = 4x²}

           = 4x² - 20x + 25

Answer:

4 units left and 5units up

Step-by-step explanation:

graph explains it c is shifted 5 up and 4 left applied to all other vertecies

Equation for a line given a slope of 2/3 through the pt (-6,10) is y =  \(\frac{2}{3}\) x + 16.

Given data :

The equation of a line in point slope form is

y - y1 = m ( x - x1 )

where m represents the slope and ( x1, y1 ) a point on the line here

m = 2 / 3 and  ( x1, y1 ) = ( -6, 10)

y - 10 = \(\frac{2}{3}\) ( x - - 6 )

y - 10 = \(\frac{2}{3}\) ( x + 6 )

y =  \(\frac{2}{3}\) ( x + 6 ) + 10

y =  \(\frac{2}{3}\) x + 16

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To decrease lead times and wasted materials, a doughnut restaurant like Krispy Kreme can use methods such as streamlining the production process, implementing precise measurement and mixing techniques, automating proofing, adopting efficient frying techniques, utilizing glazing automation, and optimizing cooling and packaging processes.

To decrease lead times and wasted materials, a doughnut restaurant like Krispy Kreme can implement the following methods:

1. Streamlined Production Process: By optimizing the workflow and layout of the kitchen, Krispy Kreme can reduce unnecessary movement and improve efficiency. This can include organizing the ingredients and equipment in a logical sequence, minimizing the distance between workstations, and ensuring a smooth flow from one step to the next.

2. Precise Measurement and Mixing: Accurate measurement of ingredients and precise mixing techniques can help minimize wasted materials. Using automated measuring systems or standardized measuring tools can ensure consistency and reduce errors. Additionally, adopting efficient mixing methods, such as high-speed mixers, can decrease mixing time and enhance productivity.

3. Proofing Automation: Implementing automated proofing systems can help control the rising process more precisely. These systems can monitor temperature, humidity, and time to ensure optimal conditions for dough proofing. By automating this step, Krispy Kreme can reduce the risk of over-proofing or under-proofing, which can lead to dough waste.

4. Efficient Frying Techniques: Utilizing advanced frying equipment with precise temperature control and oil circulation can reduce cooking time and minimize the amount of oil required. Maintaining consistent frying conditions can also result in evenly cooked doughnuts and reduce the number of rejects.

5. Glazing Automation: Introducing automated glazing systems can help minimize glaze waste and improve consistency. These systems can accurately apply the desired amount of glaze, reducing excess usage and ensuring uniform coating on each doughnut.

6. Cooling and Packaging Optimization: Efficient cooling methods, such as rapid cooling systems or specialized cooling tunnels, can expedite the cooling process without compromising the quality of the doughnuts. Additionally, optimizing packaging processes, including automated packaging machines, can enhance productivity and reduce material waste.

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It looks like you want to find

\(\displaystyle \int_1^4 x f''(x) \, dx\)

Integrate by parts:

\(u = x \implies du = dx\)

\(dv = f''(x) \, dx \implies v = f'(x)\)

Then

\(\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx\)

By the fundamental theorem of calculus,

\(\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)\)

so that

\(\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}\)

Answer:

its c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just did it

Answer:

b

Step-by-step explanation:

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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13.

Then, the zeros are x=-5 and x=4.

14.

Then, the zeros are x=-6 and x=10.

15.

Then the zeros are x=5 and x=10.

16.

Then the zeros are x=-8 and x=7.

17.

Then the zeros are x=-8 and x=6.

18.

Then there is only one zero at x=6.

19.

Then the zeros are x=-30 and x=-2.

20.

Then the zeros are x=-4 and x=25.

Answer:

16

Step-by-step explanation:

9-9:9 +9 - 9 :9 =

9 - 1 +9 - 1 =

8 +9 - 1 =

17 - 1 =

16

The slope of the line passing through points A(1, 3) and B(4, 7) is 4/3.

To find the slope of a line passing through two points, we can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

slope = \((y_2 - y_1)/ (x_2 - x_1)\)

Using the given points A(1, 3) and B(4, 7), the change in y-coordinates is 7 - 3 = 4, and the change in x-coordinates is 4 - 1 = 3.

Therefore, the slope of the line passing through points A and B is:

slope = 4 / 3

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Answer:

\(h=6.93units\)

Step-by-step explanation:

1. Use the formula of volume of a cone

Volume of a cone=\(\frac{1}{3}\pi r^{2} h\)

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

\(\frac{1}{3} *3.14 * 2^{2} h=29 units^{3}\)

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

\(\frac{314}{75}h =29 units^{3}\)

\(\frac{314}{75}\) is the result of \(\frac{1}{3}* 3.14*2^{2}\)

Move \(\frac{314}{75}\) to other side.

\(h=\frac{29units^{3} }{\frac{314}{75} }\)

\(h= 6.92675 units\)

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

\(h= 6.92675 units\)

\(h=6.93units\)

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!

The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.

\(x^2 + y^2 = 25:\)

In polar coordinates, the conversion formulas are:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = 25:\)

\((r cos(theta))^2 + (r sin(theta))^2 = 25\)

\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)

\(r^2 = 25\)

The polar equation for this curve is simply:

r = 5

\(x^2 + y^2 = -8y:\)

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = -8y:\)

\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)

\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)

\(r^2 = -8r sin(theta)\)

The polar equation for this curve is:

r = -8 sin(theta)

y = sqrt(3) x:

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation y = sqrt(3) x:

r sin(theta) = sqrt(3) (r cos(theta))

r sin(theta) = sqrt(3) r cos(theta)

tan(theta) = sqrt(3)

The polar equation for this curve is:

theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

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