What the answer to (-9.5)(-2)

Given: The different types of shoes worn and their percentage

To Determine: The probability that sandals will be the favourites

Solution

Let us calculate the total percentage

Please note that the probability of an event A from a total occurence of S is calculated as

Therefore, the probability of favourites been sandal would be

Hence, the probability is 1/5

Answer:

576 cm²

Step-by-step explanation:

10x15=150

10x15=150

12x15=180

1/2x8x12=48

1/2x8x12=48

150+150+180+48+48=576

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

price of 23 toys=Rs276

price of 1 toys=Rs276/23 =Rs 12

price of 12 toys = Rs 12*12 =Rs 144

Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)

triangle UTV similar with triangle YZX

Step-by-step explanation:

that mean UT/YZ = TV/ZX = UV/YX is the answer

Answer:

4/3 miles

Step-by-step explanation:

1/3 miles

-----------------

1/4 hour

1/3 ÷ 1/4

Copy dot flip

1/3 * 4/1

4/3 miles per hour

In 1 hour

4/3 miles

Answer:

1 1/3 miles in 1 hour

Step-by-step explanation:

since there are 4 quarters in 1, you must multiply 1/3 by 4.

1/3 x 4 = 1 1/3

Answer:

Step-by-step explanation:

Paul used the following identities:

Anthony used the identity:

The electric potential V at any point on the y-axis inside the triangle can be expressed in terms of the charge Q, the length of the triangle l, and the distance y from the origin. The expression is V(y) = (Q/2l)y - (Q/2l)(2l-y) = (Q/l)(y - l).

The electric potential V at any point on the y-axis inside the triangle can be expressed in terms of the charge Q, the length of the triangle l, and the distance y from the origin. To find the expression, first note that the total charge of the triangle is Q, and the electric potential at the origin is 0. The distance from the origin to the top corner of the triangle is 2l. The electric potential at the top corner of the triangle is then equal to the total charge of the triangle divided by the length of the triangle, or Q/2l. The electric potential at any point on the y-axis is then equal to the total charge of the triangle divided by the length of the triangle times the distance from the origin to the point, minus the total charge of the triangle divided by the length of the triangle times the distance from the top corner of the triangle to the point. This gives the expression V(y) = (Q/2l)y - (Q/2l)(2l-y) = (Q/l)(y - l).

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Answer:

See attachment for plot

Step-by-step explanation:

Given

\(l = 4h\)

Required

Represent the scenario on a graph

When h = 0

\(l = 4h= 4 * 0 = 0\)

When h = 1

\(l = 4 * 1 = 4\)

When h = 2

\(l = 4 * 2 = 8\)

When h = 3

\(l = 4 * 3 = 12\)

When h = 4

\(l = 4 * 4 = 16\)

When h = 5

\(l = 4 * 5 = 20\)

So, we have:

\((h,l) = (0,0)\)

\((h,l) = (1,4)\)

\((h,l) = (2,8)\)

\((h,l) = (3,12)\)

\((h,l)= (4,16)\)

\((h,l)= (5,20)\)

See attachment for plot

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Answer:3 if 6 divided by 2 because 2 times 3 is 6

Step-by-step explanation:2 times 3 I guess really trig in my opinion im only in middle school

Answer:

We know that in Quadrant 1, both sin x and cos x are positive

We are given:

cosec x = √6 / 2

Since Sin x is 1/ cosec x:

Sinx  = 1/cosecx

Sinx = 1/(√6 / 2)

Sinx = 2 /√6

From the pythagoras theorem,

Sin²x + cos²x = 1

Replacing the value of SinΘ

(2 / √6)² + cos²x = 1

4 / 6 + cos²x = 1

cos²x = 1 - (4 / 6)

cos²x = 2 / 6

cosx = √(2 /6)

Answer:

  10%

Step-by-step explanation:

Using the given formula with the given data, we have ...

  efficiency = output work / input work

  = (10 J)/(100 J) = 0.10 = 10%

Answer:

A) 10%

Step-by-step explanation:

10/100=10

Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

To determine the area of a square without knowing the side lengths, measure the length of the diagonal and use it to calculate the side length, then square the side length to find the area.

You can use the concept of equality of opposite sides and right angles in a square.

Let's denote the side length of the square as '\(s\)'. The area of a square is given by the formula \($A = s^2$\), where '\(A\)' represents the area.

To find the area without knowing the side length, you can follow these steps:

1. Start with a square shape.

2. Identify a line segment within the square that connects two opposite corners. This line segment represents the diagonal of the square.

3. Measure the length of the diagonal using a ruler or any appropriate measuring tool.

4. Apply the concept of equality of opposite sides in a square. Since the diagonal divides the square into two congruent right triangles, the length of the diagonal is equal to the hypotenuse of each right triangle.

5. Use the measured length of the diagonal as the hypotenuse and apply the Pythagorean theorem to find the length of one side of the square.

6. Once you have determined the side length, you can calculate the area of the square using the formula \($A = s^2$\).

By following this strategy, you can find the area of a square even if you don't know the side lengths.

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A surveyor is estimating the distance across a river. The actual distance is 284.5 m. The surveyor's estimate is 300 m. Find the absolute error and the percent error of the surveyor's estimate. If necessary, round your answers to the nearest tenth.

(i) Absolute error = 15.5m

(ii) Percent error = 5.5%

Given:

Actual measurement of the distance = 284.5 m

Estimated measurement of the distance by the surveyor = 300 m

(i) The absolute error is the magnitude of the difference between the estimated value measured by the surveyor and the actual value of the distance across the river.

i.e

Absolute error = | estimated value - actual value |

Absolute error = | 300m - 284.5m | = 15.5m

(ii) The percent error (% error) is given by the ratio of the absolute error to the actual value then multiplied by 100%. i.e

% error = \(\frac{absoluteError}{actualValue}\) x 100%

% error = \(\frac{15.5}{284.5}\) x 100%

% error = 0.05448 x 100%

% error = 5.448%

% error = 5.5%  [to the nearest tenth]

Answer:

-8 + 7

Step-by-step explanation:

7 - 8 = -1

-8 + 7 = -1

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

Answer: 413

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf \frac{6}{7} }\)

Step-by-step explanation:

Total passes = 28

Caught by Tom = 24

Fraction:

\(\sf =\frac{24}{28} \\\\= \frac{12}{14} \\\\= \frac{6}{7} \\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

-5/7

Step-by-step explanation:

With the equation y = mx + b, m is the slope of the line.

Since the equation is y = -5/7x - 1, m is -5/7

So, the slope of the line is -5/7

Answer:

m = -5/7

slope = -5/7

Step-by-step explanation:

Use y = mx + b to find the slope m.

The correct answer is option D.

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.

If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.

Consider an example:

Equation 1: 2x + y = 4

Equation 2: 4x + 2y = 8

If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:

Slope intercept form of Equation 1: y = -2x + 4

Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4

Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.

Thus, the correct answer is option D.

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Answer:

\(f(x) = -x^2 - 2x + 8\)

y-intercept is when x = 0:

\(\implies f(0) = -(0)^2 - 2(0) + 8=8\)

So the y-intercept is (0, 8)

x-intercepts are when f(x) = 0:

\(\implies f(x)=0\)

\(\implies -x^2 - 2x + 8=0\)

\(\implies x^2 + 2x - 8=0\)

\(\implies x^2 - 2x + 4x - 8=0\)

\(\implies x(x - 2) + 4(x-2)=0\)

\(\implies (x+4)(x - 2)=0\)

Therefore:

\(\implies (x+4)=0 \implies x=-4\)

\(\implies (x-2)=0 \implies x=2\)

So the x-intercepts are (-4, 0) and (2, 0)

The vertex is the turning point of the parabola.  The x-value of the vertex is the x-value between the 2 zeros (x-intercepts).

Therefore, the x-value of the vertex is \(\sf \dfrac{x_1+x_2}{2}=\dfrac{-4+2}{2}=-1\)

Substituting x = -1 into the function:

\(\implies f(-1) = -(-1)^2 - 2(-1) + 8=9\)

So the vertex is (-1, 9)

The domain is the input values, so x = all real numbers.

The range is the output values, so the range is \(f(x)\leq 9\)

Therefore, (-4, 0), (-1, 9), (0, 8) and (2, 0) are solutions of the function, HOWEVER they are not ALL the solutions.

All solutions of the function are:

\((x, -x^2 - 2x + 8)\) for all real numbers of x

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

Answer:

A) 4,400 Yards

Step-by-step explanation:

First, I added 1,760 + 1,760 together to represent 2 miles, and you get 3,520. Then, because it is a half mile you cut 1,760 in half to get 880. Finally, just add 3,520 + 880, which equals 4,400. I hope this helps :)

Answer:

it is A) 4,400

Step-by-step explanation:

Answer:

12 1/3

Step-by-step exp

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

=12 1/3

The first series,

\(\displaystyle \sum_{k=2}^\infty \frac{\cos(k)}{k^2}\)

is convergent. By comparison, using the fact that |cos(x)| ≤ 1 for all real x,

\(\displaystyle \sum_{k=2}^\infty \frac{\cos(k)}{k^2} \le \sum_{k=2}^\infty \frac1{k^2}\)

and the bounding series is a convergent p-series (with p = 2).

The second series,

\(\displaystyle \sum_{k=2}^\infty \frac{e^k}{\left(2+\frac1k\right)^k}\)

is divergent by the limit test. We have

\(\dfrac{e^k}{\left(2 + \frac1k\right)^k} = \dfrac{e^k}{2^k\left(1+\frac1{2k}\right)^k} = \left(\dfrac e2\right)^k \cdot \dfrac1{\left(1+\frac1{2k}\right)^k}\)

By definition,

\(e = \displaystyle \lim_{k\to\infty}\left(1+\frac1k\right)^k\)

so that

\(\displaystyle \lim_{k\to\infty}\left(1+\frac1{2k}\right)^k = \lim_{k\to\infty}\sqrt{\left(1+\frac1{2k}\right)^{2k}} = \sqrt{\lim_{k'\to\infty}\left(1+\frac1{k'}\right)^{k'}} = \sqrt{e}\)

so that the limit of the summand is

\(\displaystyle \lim_{k\to\infty} \frac{e^k}{\left(2+\frac1k\right)^k} = \frac1{\sqrt{e}} \lim_{k\to\infty} \left(\frac e2\right)^k\)

but e > 2, so the limit is ∞.

Jack was finding the missing length of a right triangle using the Pythagorean theorem.

What is meant by Pythagorean Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. In a right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides. A right triangle, also known as a right-angled triangle or an orthogonal triangle, is a triangle with one angle that is at a right angle, meaning that its two sides are perpendicular. Trigonometry is based on the relationship between the sides and various angles of a right triangle. When the positive integer sides of a right triangle are squared, the result is an equation known as a Pythagorean triple.

It is said that the Pythagorean theorem is used to find the missing side length.

From the above discussion, it is clear that the Pythagorean theorem is applied only to the right triangle.

Therefore, Jack was finding the missing length of a right triangle using the Pythagorean theorem.

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Answer: B=A-7C

Step-by-step explanation:

a=4b+7c   a-7c=B