A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)

Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees

Answer:

4

Step-by-step explanation:

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.

∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.

∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.

∠6  is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

Therefore, the angle of depression is ∠4.

Answer:

West North West

Step-by-step explanation:

West North West would be the bottom half of North West after you split the compass heading into 2 again.

Answer:

north of west = 290 degrees

north of east = 70

Step-by-step explanation:

Answer:

B) 7r² - r -1

Step-by-step explanation:

(3r² + 7r + 1) + (4r² - 8r - 2)

1. Remove unnecessary parentheses

3r² + 7r + 1 + 4r² - 8r - 2

2. Combine like terms (ex: r and -2r, n and 4n)

7r² - r -1

Therefore, the correct answer is B.

Hope this helps!

Answer: Heyaa! ~

Your Answer is... 7r²− r −1,  Which is B.

Step-by-step explanation:

Subtract the numbers, And then combine like terms,

Solution: 7r²− r −1

Hopefully this helps you! ^

If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.

The complete question is given below.

Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.​

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The data is given below.

25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.

The measures of center and variability that best summarize Frank's data will be

Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14

Mean = 392 / 14

Mean = 28

If Frank says that he typically makes about $27 per day because the mode is 27.

Yes, Frank's conclusion is appropriate.

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The number of games Ben predict Orioles will win this year is 64 games

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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Answer:

18

Step-by-step explanation:

Well there is 6 there.... ad six and six more (2 layers more) for a total of 18

Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

The conditions are given as:

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

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Answer:

24/25

Step-by-step explanation:

96%=0.96. 96/100=48/50=24/25

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

Answer:

I think it could be A

Step-by-step explanation:

Not 100% sure tho

Answer:

length = 6cm , breadth = 4cm

Step-by-step explanation:

Let's assume length = l

breadth = b

Given perimeter of a rectangle = 20 cm

2(l+b) = 20

l+b = 20/2

l+b = 10

l = 10 - b____(1)

Given area of rectangle = 24 cm²

l×b = 24____(2)

(1) in (2) => l × b = 24

(10-b) × b = 24

10b - b² = 24

10b = 24 + b²

0 = b² - 10b + 24

b² - 10b + 24 = 0

b² + 6b + 4b + 24 = 0

b(b+6) +4(b+6) = 0

(b+4)(b+6) = 0

b+4 = 0. &. b+6 = 0

b = -4. b = -6

breadth must be less than length and it should be positive

So b = 4 cm

b=4 in (1)

(1)=> l = 10 - b

l = 10 - 4

l = 6

Answer:

volume of the pramind is 90332 ans And like

Answer:

6 + 2 + 3 + 4 = 15

so 15 blocks

a block is about 0.05 miles

so 15 blocks in miles is 0.75 miles

Answer:

432

Step-by-step explanation:

To find the volume of a rectangular prism  you multiply, L × W × H

    L = 6     W = 8    H =9  you plug that in  6 × 8 × 9= 432

     so the volume is 432in²

The function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.

Let's suppose x is the fixed cost and y is the variable cost.

4671 = 50y + x …(1)

5871 = 70y + x …(2)

1200 = 20y

y = 60

x = 1671

Total cost:

C(g) = 1671 + 60g

g is the number of golf per day.

Slope = 60

y- Intercept = 1671 (from the graph)

Thus, the function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

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Answer:  93 boxes will be needed

Step-by-step explanation:

     If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.

1,486 / 16 = 92.875

    We will assume you cannot have 0.875 of a box, so we will round up to:

              93 boxes will be needed

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Answer:

4 I promise

jhjhhhhjjj bug check txt TC gym c rectify txt

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

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Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

Answer: move up or add 7 in positive direction

The difference of the two numbers in scientific form is:

[tex]493*10^{-9} = 0.00000493[/tex]

Here we want to solve:

[tex](5*10^{-7}}) - (7*10^{-9})[/tex]

To solve this, we should have the same exponent in both sides, to get that, we can rewrite the first number as:

[tex]5*10^{-7} = 500*10^{-9}[/tex]

Replacing that, we will get:

[tex](500*10^{-9}) - (7*10^{-9}}) = 493*10^{-9}[/tex]

To write it in standard form, we need to move the decimal point 9 times to the left, so we get:

[tex]493*10^{-9} = 0.00000493[/tex]

The difference is equal to 0.00000493.

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Answer:

A. Upward

B. (-2, -1)

C. X= -3, -1 ||| Y= 3

D. X=-2

Step-by-step explanation:

The equation that models the scenario is 16p+32q = 1,280.

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

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Answer:

l think the answer is 024 inches because it has to division

Step-by-step explanation:

just divide both sides by 3.14 yes

The radius of the circle is 12 inches.

Radius is the distance from the center of the circle to any point on its circumference, which means the line segment that connects the center of a circle to any point on its circumference is called the radius.

Given that the circumference of a circle is 75 inches we need to find the radius,

So,

C = π × diameter

75 = 3.14 × d

d = 23.88

∵ d = 2r

∴ r = 23.88/2

r = 11.94

r ≈ 12

Hence the radius of the circle is 12 inches.

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Power is often measured in joules of work per second