A house is increased by 7%
the house then had a value of £219350
work out the price of the house before the increase

In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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Region bounded by y = x², x = y³, and x + y = 2. The volume generated by the region when rotated about x-axis.Solution:First we need to plot the given curves and region bounded by these curves.

Now to find the volume generated by the region when rotated about x-axis we will use disk method.Now the volume generated by this region is given by = π ∫[a, b] (R(x))^2 dx Where R(x) is the radius of the disk with thickness dx. Here we can take R(x) as the perpendicular distance from x-axis to the curve. Let's first find the limits of integration.

To find the limits of integration we need to find the point of intersection of the curves y = x² and x + y = 2. Substitute y = 2 - x in the first equation to get:=> x² = 2 - x=> x² + x - 2 = 0=> (x + 2)(x - 1) = 0=> x = -2 or x = 1Clearly, x can't be negative. Hence, x = 1.To find the radius, we need to find the difference between the y-coordinate of the parabola and line i.e. R(x) = (2 - x) - x².∴ V = π ∫[0, 1] [(2 - x) - x²]² dx= π ∫[0, 1] [(4 - 4x + x²) - 2x³ + x⁴] dx= π [4x - 2x² + (x³/3) - (x⁴/4)] [0, 1]= π [(4/3) - (2/3) + (1/3) - (1/4)]= π [7/6 - 1/4]= (7π/6) - (π/4)Thus, the volume generated by the region when rotated about x-axis is (7π/6) - (π/4).Therefore, the required answer is: Long answer. The volume generated by the region when rotated about x-axis is (7π/6) - (π/4).

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The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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Answer:

\(\underline{ \boxed{ \underline{part \: a}}}. \\the \: required \: distance \: a part \: be \to \: \boxed{\underline {\overline{p } =79.23 \: km} } \\ \\ \underline{ \boxed{ \underline{part \: b}}}. \\ the \: bearing \: of \: \boxed{ B } \: \: from \: \boxed{ \underline{A}} \: is \to \boxed{ \underline{324 }\degree }\)

Step-by-step explanation:

\( \underline{ \boxed{ \underline{part \: a}}}. \\ l et \: the \: required \: distance \: apart \: be \to \: \boxed{ \overline {p}} \\ let \: \boxed{ \angle \: P} \: be \: the \: angle \: of \: seperation \: between \: both \: ships :given \: by \to \\ P = (244 - 180) - (196 - 180 )= (64 -16) = \boxed{48 \degree} \\ if \: ship \: A \: and \: B \: left \: the \: port\: at \: (10:30) \: \\ then \: at \: (14 :00) \: their \: time \: interval \: would \: be \to \\ (14 : 00) - (10 : 30) = \boxed{ 3.5 \: hrs} \\ ship \: \boxed{A }\: distance \: from \: the \: port =( v \times t) = (30 \times 3.5) = \boxed{105 \: km} \\ ship \: \boxed{B }\: distance \: from \: the \: port =( v \times t) = (24 \times 3.5) = \boxed{84\: km} \\n ow........we \: cant \: do \: much \: if \: their \: are \: no \: angles \: to \: work \: with \to \\ applying \:t he \: cosine \: rule : we \: have \to \\ \cos(P) = \frac{ {a}^{2} + {b}^{2} - \overline{{p}^{2} } }{2(ab)} \\ {a}^{2} + {b}^{2} - \overline{{p}^{2} } = 2(ab) \cos(P) \\ \overline{{p}^{2} } = {a}^{2} + {b}^{2} - \{2(ab) \cos(P) \} \\ \overline{{p}^{2} } = {84}^{2} + {105}^{2} - \{2(84)(105) \cos(48 \degree) \} \\\overline{{p}^{2} } = 18,081 - 11,803.463897 \\ \overline{{p}^{2} } = 6,277.536103 \\ \overline{p } = \sqrt{6,277.536103} \\ \boxed{\underline {\overline{p } =79.23 \: km} } \\ \\ \underline{ \boxed{ \underline{part \: b}}}. \\ to \: sove \: this : we \: first \: find \: angle \: \angle \: B : by \: applying \to \\ \frac{ \sin(B) }{b} = \frac{ \sin(P) }{p} \\ p \ast \sin(B) = b \ast \sin(P) \\ B = \sin {}^{ - 1} ( \frac{ b \ast \sin(P)}{p} ) \\ B = \sin {}^{ - 1} ( \frac{ 105 \times \sin(48 \degree)}{79.230903712} ) \\ \\ B = \sin {}^{ - 1} ( \frac{ 78.030206678}{79.230903712} ) \\ \\ B = \sin {}^{ - 1} (0.9848455971) \\ \boxed{B = 80 \degree} \\ hence \ : the \: bearing \: of \: \boxed{ B } \: \: from \: \boxed{ \underline{A}} \: is \to \\ 360 - \{180 - (80 + 48 + 16) \} \\ 360 -(180 - 144 )\\ 360 -36 = \boxed{324 \degree }\)

♨Rage♨

I just have the answer of the 70.

it is 10560

Answer:

69 is 1/3 and 70 is 10560

Step-by-step explanation:

Answer:

\(y=sin^{-1}x\)

Step-by-step explanation:

Given: A point is \((0,2\pi)\)

To find: function whose graph passes through the given point

Solution:

A trigonometry explains the relationship between the sides and the angles of the triangle.

The inverse trigonometric functions \(sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x\) help to find the value of an unknown angle of a right triangle when length of two sides are given.

Consider \(\sin y=x\)

Put \(y=2\pi\)

\(sin 2\pi=0\)

So, point \((0,2\pi)\) satisfies the function \(y=sin^{-1}x\)

Therefore, graph of function \(y=sin^{-1}x\) passes through \((0,2\pi)\)

Answer:it’s A y=cos^1(x)

Step-by-step explanation:

Edge 2020

Answer:

\(60-15\pi\) square inches

Step-by-step explanation:

The area of the paper is \((6)(10)=60\) square inches.

The area of one circle is \(\pi(1^2)=\pi\). So, the combined area of the circles is \(15\pi\).

Taking the difference yields \(60-15\pi\).

Answer: its A

Step-by-step explanation:

edge 2023

the only option correct is the option D

Answer:

d) The equation of the standard parabola

 x² = 6 y

Step-by-step explanation:

 The given directrix is y= -31.5

  The equation of the parabola is of the form x² =4 a y

  Given focus (0,1.5) , Here  a= 1.5

  The equation of the standard parabola

                                      x² = 4 a y

                                       x² = 4 (1.5)y

                                       x² = 6 y

Conclusion:-

The equation of the standard parabola

 x² = 6 y

The equation that represents the parabola shown on the graph is x∧2 = 6 y

A parabola is known as a plane curve that starts from a point and moves such that its distance from a fixed point is equal to its distance from a fixed line.

The graph shows a vertical parabola opened upwards with the vertex at the origin.

The equation of the parabola from the graph is;

x∧2 = 4ay

The equation of the directrix;

y = -a = -1. 5

Thus, the value of a = 1.5

Then, substitute the value of a = 1.5 in the equation deduced from the graph

x∧2 = 4 × (1.5) × y

x∧2 = 6 y

Therefore, the equation that represents the parabola shown on the graph is x∧2 = 6 y

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Answer:

Exact Form:

1/6

Decimal Form:

0.16 (6 repeating)

Step-by-step explanation:

Answer:

135°

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°

Based on the given information, the chance of the business venture being considered highly disappointing is unknown.

The probabilities for all the outcomes are provided except for the probability of the business venture being highly disappointing. Without knowing the specific probability assigned to the highly disappointing outcome, it is not possible to calculate the chance or provide an exact value.

It is important to note that the term "unknown" suggests that the probability for the highly disappointing outcome has not been provided or determined. It could be the case that the probability was not included in the given information or that it is simply not available. Without this specific probability, it is not possible to calculate the overall chance of the business venture being highly disappointing.

In summary, the chance or probability of the business venture being highly disappointing cannot be determined without the specific probability assigned to that outcome.

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Tanya yearly salary is

$35000 + 8% of her sales

Let her sales be x

Since, her sales is x

35000 + 0.08x > salary

To determine her necessary sales to earn over $50, 000

Let $50, 000 be her benchmark salary

35,000 + 0.08 * x > 50000

35000 + 0.08x > 50000

0.08x > 50000 - 350000

0.08x > 15000

Divide both sides by 0.08

0.08x/0.08 > 15000/0.08

x > 15000 / 0.08

x > 187,500

Therefore, she will need a sales of 188,000 and above to earn above $50,000

Answer: I'm not sure what your options are, but a line the passes through -3,1, and is parallel to y=4, would be y=1

Step-by-step explanation:

Answer:

What is the table? what are the values? If you can't insert a picture please type the like f(x)= y

Step-by-step explanation:

Answer:

I beleive the answer is choice B...

Step-by-step explanation:

In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x)

You can see the three points where the result is equal to an integer in the photo below. Good luck!

Answer:

-40

Step-by-step explanation:

Given that,

c = -6

d = 2

To find the value of the given expression, replace c & d with 6 & 2 respectively.

Let us solve it now.

10c - cd + d³

( 10 × -6 ) - ( -6 × 2 ) + 2³

- 60 - ( -12 ) + 8

- 60 + 12 + 8

- 40

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer:

about 45%

Step-by-step explanation:

it should be right

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer:

4x=y

Step-by-step explanation:

there's no y-intercept, for the table itd be

x=0 y=4

x=1 y=8

x=2 y=12

basically adding 4 books(y) and one day (x) over and over

Answer:

$82.5

Step-by-step explanation:

$82.5

Step-by-step explanation:

We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much is the 100%

We use the formula of the direct rule of 3

x = 82.5

The original price of the stereo was $82.5

Answer:

a

Step-by-step explanation:

Answer:

The answer is B. 16-30!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms

= 6x³ - 3x² + 7x - 8

Answer:

D. (f + g )( x ) = 6x³ - 3x² + 7x - 8

Step-by-step explanation:

Given :-

To Find :-

Solution :-

(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.

Arranging like terms.

(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3

Combine like terms.

(f + g )( x ) = 6x³ - 3x² + 7x - 8

The coordinate matrix LFE of L relative to the ordered bases E and F is

\(\left(\begin{array}{ccc}3&1&10\\3&3&2\\0&3&3\\0&0&3\end{array}\right)\).

Since here L is a linear transformation from a vector space of dimension 3 to a vector space of dimension 4, the coordinate matrix of L relative to the given ordered bases must be a (4×3) matrix,

Linear transformation is given by,

L(P(t)) = 5p"(t) + 1p' (t) + 3p(t) + 3tp(t)

The given basis is IP² is E = (C1, C2, C3) where, e1(t) = 1, e2(t) = t, e3(t) = t².

Also the given basis of IP³ is (f1, f2, f3, f4) where, f1(t) = 1, f2(t) = t, f3(t) = t², f4(t) = t³.

Now to find the coordinate matrix,

Now,

L(e1(t)) = 5.0 + 1.0 + 3.1 + 3t.1

= 3 + 3t

= 3f1(t) + 3f2(t) + 0.f3(t) + 0.f4(t)

L(e2(t)) = 5.0 + 1.1 + 3.t + 3t.t

= 1 + 3t + 3t²

L(e3(t)) = 5.2 + 1.2t + 3.t² + 3t.t²

= 10 + 2t + 3t² + 3t³

Now writing the coefficients as a column vector we get,

\(\left(\begin{array}{ccc}3&1&10\\3&3&2\\0&3&3\\0&0&3\end{array}\right)\)

The coordinate matrix LFE of L relative to the ordered bases E and F is

\(\left(\begin{array}{ccc}3&1&10\\3&3&2\\0&3&3\\0&0&3\end{array}\right)\).

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Answer:

the answer is the 235⁰ ok that