A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 20 feet
per second. The height, h, of the pebble after t seconds is given by the equation h= -16+201+1200. How long after
the pebble is thrown will it hit the ground? Use a graphing calculator to solve the problem.



Help pleasee asap

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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Answer:

1/2 mi

Step-by-step explanation:

Fairfax to Greenwood is equal to one mile

Now think of it as an equation and substitute 1/2 for fairfax and x for greenwood

1/2 + x = 1

This means that x = 1/2

Because of this from Arcadia to Greenwood it is 1/2 mi

Answer:

you can make 12 cans of them

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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According to the radioactive isotope disintegration model, the remaining mass of the radioactive isotope after 40 years is approximately equal is 129.622 grams.

The deceasing exponential expression described in the statement models the mass of the radioactive isotope (m), in grams, as a function of time (t), in years, which represents the solution of an ordinary differential equation that represents a simple disintegration.

Now, we need to evaluate the function at t = 40 to find the amount remaining after 40 years:

A(40) = 500 · exp(- 0.028171 · 40)

A(40) = 129.622

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Answer:

y=3^x grows faster

Step-by-step explanation:

y=3^x grows exponentially while y=3x grows linearly showing a straight line on the graph and therefore grows slower

Answer:

Its B

Step-by-step explanation:

edge 2021 hope this helps <3 :)

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

\(V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height\)

\(V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} \)

\(D. \: \: V = 50 \: {yd}^{3} \)

I hope it helps ┐(・_・┐)

Answer:

D) 4

Step-by-step explanation:

.

Answer:

-3

Step-by-step explanation:

Because -3 is going in a backwards way so the number is decreasing away

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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Answer:

Applications - Aluminum Can A cylindrical can is to be constructed out of aluminum in such a way that the volume is 355 cubic centimeters (about 12 ounces) and the top and bottom are somewhat thicker than the side. As a result, the top and bottom cost $0.002 per square centimeter, where as the material for the side costs only $0.001 per square centimeter.

Step-by-step explanation:

Answer:

  £5518.93

Step-by-step explanation:

The compound interest formula will tell you the value of the investment after 3 years.

__

  A = P(1 +r)^t

where principal P is invested at rate r compounded annually for t years.

__

  A = £4700(1 +0.055)^3 ≈ £5518.93

Brian will have £5518.93 after 3 years.

A line of two points (4, 2) and (-1, k) is perpendicular to the line y=2x+1, then k = 9/2.

Given a line with equation y = mx + c, the slope is denoted by m.

Given 2 points with slopes m₁ and m₂, those two lines are perpendicular if:

m₁ x m₂ = -1

The given line equation is:  y = 2x+1

Hence,

m₁ = 2

Compute the slope from 2 points: (4, 2) and (-1, k)

m₂ = (k - 2) / (-1 - 4)

m₂ = (-1/5) (k - 2)

Use the condition for perpendicular lines:

m₁ x m₂ = -1

2 x (-1/5) (k - 2) = -1

2k - 4 = 5

2k = 9

k = 9/2

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Answer:

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

---------

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

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

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

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

(a) Find the angular speed of the wheels in rad/min.

rad/min

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

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

Answer:

52° is approximately 0.907 radians

Step-by-step explanation:

To find the equivalent radian measure for an angle that measures 52°, we need to convert 52° to radians using the formula:

radians = degrees × π/180

Substituting the value of 52° into the formula, we get:

radians = 52 × π/180

radians ≈ 0.907

Therefore, the equivalent radian measure for an angle that measures 52° is approximately 0.907 radians.

Turn me into a superhero

Answer:

False for the first one

true for the second

true for the last

Step-by-step explanation:

The triangle with 2 angles as 90° is not possible and the statement is false

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ∠ABC

Now , the measures of the angles of the triangle are

A triangle has two 90° angles and a side 12 centimeters in length

So , ∠ABC = ∠BAC = 90°

And , For a Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Therefore , a triangle cannot be formed with 2 angles as 90°

Hence , the statement is False

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Answer:

ummmmmmmm what ur question??

Step-by-step explanation:

Answer:

wheres the question at?

In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.

\(nCr = \frac{n!}{(n - r)!r!} \\ \)

Plugging in our values,

\(8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ \)

That means 3 desserts from a tray of 8 desserts 56 times.

ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer:

a) $20-is the cost price

  $25-is the selling price

profit or loss

25-20=5$ profit but in percentage

Step-by-step explanation:

i think that is what the question is asking for

good luck

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

18

Step-by-step explanation:

range= max-mini

21-3=18

Autumn's bank registry will be :

Transaction Amount Balance

Paycheck $1275.00 $1275.00

Rent $400.00 $875.00

Utilities $75.00 $800.00

Cell Phone $80.00 $720.00

Subway Pass $120.00 $600.00

Groceries $200.00 $400.00

Work Clothes $100.00 $300.00

Entertainment $100.00 $200.00

Savings $200.00 $0.00

As you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:

Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.

By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.

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Answer:

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

Find the difference of the initial and used amounts:

Answer:

∠BOC = 45

Step-by-step explanation:

∠BOC + ∠AOB = ∠AOC ----------eq.1

where:

∠AOC = 96

∠BOC = 8x - 67

∠AOB = 9x - 75

find:  ∠BOC

plugin values into the eq.1

∠BOC + ∠AOB = ∠AOC

8x - 67 + 9x - 75 = 96

8x + 9x - 67 - 75 = 96

17x = 96 + 67 + 75

17x = 238

x = 238 / 17

x = 14

plugin x into ∠BOC = 8x - 67

∠BOC = 8x - 67

∠BOC = 8(14) - 67

∠BOC = 45

The following answer is 171

Answer: Substraction property

Step-by-step explanation:

-94=12n+2

12n+2=-94

12n+2-2=-94-2

12n=-96

\(\frac{12n}{12}=\frac{-96}{12}\)

n=-8

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve for x ~

\(\qquad \sf  \dashrightarrow \:12 {x}^{2} - 36x = 0\)

\(\qquad \sf  \dashrightarrow \:12 x({x}^{} - 3) = 0\)

\(\qquad \sf  \dashrightarrow \:12x = 0 \: \: or \: \: x - 3 = 0\)

\(\qquad \sf  \dashrightarrow \:x = 0 \: \: or \: \: x = 3\)

Therefore, the possible values of x are 0 and 3