a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed v/2. Thependulum bob is suspended by a stiff rod of length and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle?

Answer:

5x + 6

Step-by-step explanation:

+7x -2x = 5x

And 5 + 1 = 6

So it would be 5x + 6

Answer:

5x + 6

Step-by-step explanation:

(7x + 1) + (-2x +5)             Take away parentheses

7x + 1 - 2x +5                    Combine like terms

5x + 6

Answer:

I think the perimeter of the diagram is 5 and if you round it like

If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).

Answer:

More number of words that can be made: \(\bold{2^n}\)

Please refer to below proof.

Step-by-step explanation:

Given that:

The number of binary code words that can be made:

\(B(n) =2^n\)

where n is the length of binary numbers.

Binary numbers means 2 possibilities either 0 or 1.

Here, suppose if we have 5 as the length of binary number.

And there are 2 possibilities for each digit.

So, total number of possibilities will be \(2\times 2\times 2\times 2\times 2 = 2^5\)

If the length of binary number is 2.

The total words possible are \(2^2\).

These numbers are:

{00, 01, 10, 11}

If the length of binary number is 3. (increasing the 'n' by 1)

The total words possible are \(2^3\).

These words are:

{000, 001, 010, 100, 011, 101, 110, 111}

So, number of More binary words = 8 - 4 = 4 or \(2^2\) or \(2^n\).

So, the answer is \(2^n\).

Let us try to prove in generic terms:

\(B(n) = 2^n\)

Increasing the n by 1:

\(B(n+1) = 2^{n+1}\)

Number of more words made by increasing n by 1:

\(B(n+1) -B(n)= 2^{n+1} -2^n\\\Rightarrow 2\times 2^{n} -2^n\\\Rightarrow 2^n(2-1)\\\Rightarrow \bold{2^n}\)

Hence, proved that:

More number of words that can be made: \(\bold{2^n}\)

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

tan A = 20/21

Step-by-step explanation:

tan Θ = opp/adj

tan A = 20/21

The transformation required to transform the preimage in purple to the image in white is

Transformation is the term used to  describe when a body is repositioned  or makes some movement.

Some of the movements involved in transformation are:

The movement can start in several ways however we stick to this as described

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Answer:

11) 153, 85, 238 12) 12, 15, 27

Step-by-step explanation:

To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2

11) Let Shape 1 be the rectangle: 17×9=153

let Shape 2 be the triangle: \(\frac{1}{2}\)×10×8.5=42.5×2=85

Total area: 153 + 85 = 238

12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3

Shape 1: 3×4=12

Shape 2: 5×3=15

Total area: 15 + 12 = 27

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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The equation of the straight line is 4x -y = 13. It is general form of equation of a line.

What is a line?

A line has length but no width, making it a one-dimensional figure. A line is made up of several points that are endlessly extended in opposite directions. Two points in a two-dimensional plane determine it. Collinear points are described as two points that are on the same line.

The equation of a line that passes through the points (x₁, y₁) and (x₂, y₂) is

y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).

The coordinates of the points are (4, 3) and (2, -5).

The slope of the line is (-5-3)/(2-4)

=-8/-2

= 4

The equation of line is

y - 3 = 4(x - 4)

→ y - 3 = 4x - 16

→ 4x -y = 13

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Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

Answer:

$450

Step-by-step explanation:

If the tax rate is 8% that would mean it is 1.08 and you can multiply 1.08 with 450 and get 486 as the answer.

Answer:

500 boxes an hour?

Step-by-step explanation:

Answer:

The machine can pack 500 boxes in one hour

You can add +500 in case for more hours

Step-by-step explanation:

2,500 divided by 5 is 500.

Answer:

radius r and a center at (h,k).

Step-by-step explanation:

The formula that states that P(x,y) is a distance r > 0 from a fixed point C(h,k) is:

(x - h)^2 + (y - k)^2 = r^2

This equation represents a circle with a center (h,k) and radius r. The set of all points that satisfy this equation is a circle with center (h,k) and radius r. This circle includes all points in the plane that are a distance r from the point (h,k).

The radius of the circle is r, and the center of the circle is (h,k). Therefore, the circle can be described as a circle with a radius r and a center at (h,k).

The converses, inverses, and contrapositives of the given statements have different truth values. In statement (a), the converse and inverse are both false, while the contrapositive is true. In statement (b), all three statements are true.

Conditional Form:

a) If someone is 18 years old, then they may vote in federal elections.

b) If a quadrilateral has opposite angles congruent, then it is a parallelogram.

Converses, Inverses, and Contrapositives:

a) Statement: If each side of a triangle has a length of 10, then the triangle's perimeter is 30.

Converse: If the triangle's perimeter is 30, then each side of the triangle has a length of 10.

Inverse: If the triangle's perimeter is not 30, then each side of the triangle does not have a length of 10.

Contrapositive: If each side of the triangle does not have a length of 10, then the triangle's perimeter is not 30.

Truth of the new statements:

The converse is false.

The inverse is false.

The contrapositive is true.

b) Statement: If an angle is acute, then it has a measure greater than 0 and less than 90.

Converse: If an angle has a measure greater than 0 and less than 90, then it is acute.

Inverse: If an angle is not acute, then it does not have a measure greater than 0 and less than 90.

Contrapositive: If an angle does not have a measure greater than 0 and less than 90, then it is not acute.

Truth of the new statements:

The converse is true.

The inverse is true.

The contrapositive is true.

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Answer:

Step-by-step explanation:

x^2 + 44^2 = 55^2

x^2 + 1936 = 3025

3025-1936 = 1089

sqrt(1089) = 33

x = 33

Answer:

X=33

Step-by-step explanation:

this is a right traingle so you can use pythagorean theorem

A^2 +B^2 =C^2

A^2 +44^2= 55^2

A^2 + 1936= 3025 subtract 1936 from both sides

A^2= 1089 now square root both sides

A=33

Answer:

Explanation:

To get the area of the sectors, we need the area of the full circle

The area of the circle is:

where r is the radius of the circle

The area of the circle is:

We now proceed to divide the area of the sector by 18

Mathematically, we have that as:

Answer:

the answer might be 71.9

Step-by-step explanation:

add 12.8 and 5.3 =18.1 then

90-18.1=71 9

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Answer:

Graph A

Step-by-step explanation:

Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2

a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Answer:

y=115+35x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2*6 = 12

3*2 = 6

12 - 6 =6

Answer:

46.74ft²

Step-by-step explanation:

A= H(b) b/2 ≈ Sum of your area

Answer: 46.74 square ft (B.)

Step-by-step explanation:

Area of a triangle = (base × height) ÷ 2

A = (11.4 × 8.2) ÷ 2

A = 46.74

I hope this helps!

Answer:

the digit in the thousandths place is the 8

Step-by-step explanation:

The ratio between cups of beans and cups of rice is 10/13 . Option C

A ratio can described as an ordered pair of numbers, like y and z, that is written mathematically in the form y / z where the denominator of the fraction is not equal to zero.

It is known to describe the number of times an element or number contains another number proportionally.

It is also seen as the comparison of two quantities, elements or numbers that has the same units and likewise, explains how much one of the elements or quantity is found in the another one.

This is done based on their sizes or magnitudes.

A proportion is a mathematical equation with two ratios set equivalent or equal to each other.

Given that;

Beans = 2 1/ 2 cups

Rice = 3 1/4 cups

Convert to mixed fractions;

Beans = 5/2

Rice = 13/4

Now, divide the cups of beans by that of rice;

= 5/ 2 ÷ 13/4

= 5/2 × 4/13

= 10/13

Hence, the ratio is 10/13

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Answer:

-3 , -3.305 , -3.35 , 0 , 3.15 , 3.4

9514 1404 393

Answer:

  7. 91 m²

  8. 56 in²

  9. 105 in²

  10. 135 m²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the base length, and h is the height perpendicular to the base.

The formula for the area of a trapezoid is ...

  A= 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).

__

Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)

  7. A = 1/2(14 m)(13 m) = 91 m²

  8. 56 in²

  9. A = 1/2(14 +16 in)(7 in) = 105 in²

  10. 135 m²

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84