An object is dropped from 43 feet below the tip of the pinnacle atop a 527​-ft tall building. The height h of the object after t seconds is given by the equation h equals negative 16 t squared plus 484. Find how many seconds pass before the object reaches the ground.

Answer:

54°

Step-by-step explanation:

[tex]m\angle CDE = \frac{1}{2} \{237 \degree - (360 \degree -237 \degree ) \} \\ \\ = \frac{1}{2} \times \{237 \degree - 123 \degree \} \\ \\ = \frac{1}{2} \times 114 \degree \\ \\ = 54 \degree \\ \\ \huge \red{ \boxed{ \therefore \: m\angle CDE =54 \degree}}[/tex]

Answer:

Justification of step A: common denominator

Justification of step B: multliplication property of equality

Step-by-step explanation:

i got it right.

The justification for the steps from the derivation of the quadratic formula of step A is the use of common denominator.

The justification for the steps from the derivation of the quadratic formula of step A is the use of multiplication property of equality.

[tex]a(x + \frac{b}{2a} )^2 = -c + \frac{b^2}{2a} \\\\a (x + \frac{b}{2a} )^2= \frac{-4ac + b^2}{4a}[/tex]

[tex]a (x + \frac{b}{2a} )^2 = \frac{-4ac + b^2}{4a} \\\\\frac{1}{2} a(x + \frac{b}{2a} )^2 = (\frac{1}{a} )(\frac{b^2- 4ac}{4a} )[/tex]

The justification for the steps from the derivation of the quadratic formula of step A is determined as follows;

The justification for the steps from the derivation of the quadratic formula of step B is determined as follows;

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Answer: b. micah should have added 2 to 3 instead of 1

Answer:

B. on edge

Step-by-step explanation:

Answer:A=253.5

Step-by-step explanation:

In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.

Answer:

253.5

Step-by-step explanation:

if the side lengths of the cube is 6.5 then the surface area of one side is 42.25. Since the 6 sides of the cube are all the same you can multiply this by 6 to get 253.5

Answer:

Step-by-step explanation:

In statistics, randomness means having no apparent pattern. It refers to the lack of predictability in events, where individual outcomes are unpredictable but there is typically a regular distribution of outcomes in a large number of repetitions. We often use random number generators to produce random data.

In the field of statistics, the term randomness has a very specific meaning. It refers to the lack of pattern or predictability in events. Randomness is present when individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number of repetitions.

The correct answer from your options would be 'D. Randomness means having no apparent pattern.' This is because randomness doesn't necessarily mean chaos or that we cannot make sense of random phenomena. We often study randomness in order to understand it better, especially in the field of statistics, where we try to analyze and describe random phenomena.

Option 'C. Randomness is hard to achieve without help from a computer or some other randomizing device' could also be considered partially true, as true randomness is challenging to achieve, especially in a controlled setting, and we often use random number generators to produce random data. However, the statement doesn't as comprehensively define randomness as option D does.

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Answer: fax 2 F (y axis) +4.5 =23x2=46

Step-by-step explanation:

Answer:

its D    

Step-by-step explanation:

Answer:

this is an example:

In a parallelogram, like in any other quadrilateral, the sum of the measures of the interior angles is 360 degrees. Also in a parallelogram, if you have one angle that is 65 degrees, you must also have a second angle that is 65 degrees, so the sum of those two angles is 130 degrees. The sum of the other two angles, which are of identical measure, is then 360 minus 130 equals 230 degrees. Divide 230 by 2 to get the measure of the other two angles.

Step-by-step explanation:

In a parallelogram with one angle measuring 55°, the other three angles are two measuring 55° and two measuring 125° due to the properties of parallelograms where opposite angles are equal and consecutive angles sum to 180°.

A parallelogram has one angle that measures 55°. The measures of the other three angles in the parallelogram can be determined knowing that opposite angles in a parallelogram are equal, and consecutive angles are supplementary (sum to 180°). Because one angle is 55°, the opposite angle must also be 55°. The adjacent angles must sum up to 180°, so they each must be 180° - 55° = 125°. Therefore, the parallelogram has two angles measuring 55° and two angles measuring 125°.

Question:

Write a cosine function of the form f(t)= Acos(Bt) where A and B are real numbers that models the water level f(t) as a function of time measured in t hours since 8:30 a.m.

Answer:

The equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex]

Step-by-step explanation:

From the required equation, we have for a wave form

f(t) = A·cos(B·t)

A = Amplitude of the wave

B = The period of the wave

t = Time of wave

The period can be derived as follows

We have 7:30 to 1:00 is 5.5 hrs, therefore one full cycle occurs in 11 hours

The period is given by;

[tex]Period = \frac{2\pi }{B}[/tex]

Therefore,

[tex]\frac{2\pi }{B} = \frac{13}{1}[/tex] so that

[tex]The \, period \, B = \frac{2\pi }{13}[/tex]

The amplitude is given as the maximum displacement from the position at rest. Therefore, the amplitude = (15 - 7)/2 = 4 feet

Therefore the equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex].

Answer:

x=6/5

Step-by-step explanation:

times both sides by 10:

5x/2=3

then times 2:

5x=6

divide it by 5:

5x/5=6/5

x=6/5

The answer is -300

I found the answer on a regents

The angle that does not terminate when drawn on a unit circle in a standard position is -300°.

The 4th quadrant is located on the upper left side of a unit circle. In a unit circle, the angle between 270° - 360° is Quadrant IV. Others include:

The angle that does not terminate(i.e. does not end back into the fourth quadrant) after being added to 360 is -300°.

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Answer:

The answer would be about 5

Step-by-step explanation:

You would have to add the Peach cobbler degree (105) and the pasta degree (203), then you would subtract that by 360 to get 52. Then you would divide that by 360 to get about .14, then mutiply that by 2(pi)(6) = 5.44 which is about 5.

Answer:

(x + 4) (x - 3) (x + 3)

Step-by-step explanation:

Answer:

Neither Troy nor Keith is correct.

Step-by-step explanation:

Neither Troy nor Keith is correct.

The value 0.9 is the same as the value 0.90.

The zeros after a decimal point are always insignificant unless they are followed by a number different from zero.

0.90 = 0.900 = 0.9000 = 0.90000 = ... = 0.9000000000

and all these can be easily written as 0.9, as the zeros after the decimal point do not change the value.

But 0.901, 0.9000004, 0.90002, and so on are all different, and the zeros are relevant, as they are followed by numbers different from zero.

Answer:

None of them is correct

0.9=0.90

Step-by-step explanation:

0.9>0.90 (not valid)

0.9<0.90 (not valid)

1. when dealing with decimals, the digits on the left hand side of the decimal point is a whole number.

The digits at the right hand side are considered individually.

2. the place value of the first digit is tenth, next is hundredth

3. if the last digits at the right hand side of the decimal point are zeros, then they are insignificant having no place value.

Hence, 0.9 is not greater 0.90

0.9 is not also less than 0.90,

because, the '0' at the right hand side of the decimal point, immediately after 9 is insignificant.

Therefore, 0.9=0.90

Answer:

True

Step-by-step explanation:

Final answer:

To find (fg)(x), multiply f(x) and g(x) by substituting g(x) into f(x) and simplifying the expression.

Explanation:

To find (fg)(x), we need to multiply f(x) and g(x). This can be done by substituting g(x) into f(x) and simplifying the expression.

f(x) = 4x² - 5

g(x) = x + 3

(fg)(x) = f(x) * g(x) = (4x² - 5) * (x + 3) = 4x³ + 12x² - 5x - 15

Therefore, the expression (fg)(x) simplifies to 4x^3 + 12x² - 5x - 15.

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Freezing point of water = 32 degrees fahreinheit

Freezing happens when the molecules of a liquid get so cold that they slow down enough to hook onto each other, forming a solid crystal.

Therefore, this is not a statiscal question, but a determinisatic question.

This question is not statistical because it asks for a specific fact: water boils at 100 degrees Celsius at sea level.

A statistical question involves variability and is usually answered by collecting and analyzing data from multiple sources. For example, 'What is the average boiling point of water in various cities at sea level?' would be a statistical question.

However, asking about the temperature at which water boils at sea level is asking for a specific fact. The boiling point of water at sea level is 100 degrees Celsius, a fact that does not vary under standard atmospheric pressure.

The complete question is

Is this a statistical question.

At what temperature (in degrees Fahrenheit) does water freeze?

yes , no

Answer: There are 58 players to raise $100 to meet their goal.

Step-by-step explanation:

Since we have given that

Amount to raise = $7000

Amount given the team by the donor = $1250

Amount each player is able to raise = $100

Let the number of player be 'x'.

According to question, we get that

[tex]1250+100x\geq 7000[/tex]

So, the required number of players would be :

[tex]100x\geq 7000-1250\\\\100x\geq 5750\\\\x\geq \dfrac{5750}{100}\\\\x\geq 57.5[/tex]

Hence, there are 58 players to raise $100 to meet their goal.

Answer: 13 mins

Step-by-step explanation:

Answer:

2 : 5

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b, then

ratio of areas = a² : b²

Given ratio of areas = 4 : 25, then

ratio of sides = [tex]\sqrt{4}[/tex] : [tex]\sqrt{25}[/tex] = 2 : 5

The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

Given that,

630 kilometers ⇔ 5 hour

Divide both sides by 5

630/5 kilometers ⇔ 5/5 hour

126 kilometers ⇔ 1 hour

The ratio of kilometers to an hour in fraction form ⇒ 126/1

Hence "The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1".

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Final answer:

The total distance the post is driven into the ground after 6 hits of the pile driver, each hit driving the post 9 ft, is 54 ft.

Explanation:

The problem given can be solved using the concept of arithmetic sequences since each hit of the pile driver drives the post the same distance as the previous hit.

Assuming that the first hit drives the post 9 ft into the ground. Each subsequent hit will also drive it 9 ft further. To find the total distance after 6 hits, we simply multiply the distance per hit by the number of hits:

Total Distance Driven = Distance per Hit × Number of Hits

Total Distance Driven = 9 ft × 6 = 54 ft.

The total distance the post has been driven into the ground after 6 hits is therefore 54 feet.

The correct total area of the figure is 25 inches squared.

To find the area of each piece of the composite figure, we calculate the area of each rectangle by multiplying its length by its width.

1. The area of the top rectangle is calculated as:

[tex]\[ A_{\text{top}} = 4 \text{ in} \times 2 \text{ in} = 8 \text{ in}^2 \][/tex]

2. The area of the middle rectangle is calculated as:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} \][/tex]

Since 6.5 is the same as [tex]\(\frac{65}{10}\)[/tex] or [tex]\(\frac{13}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{middle}} = \frac{13}{2} \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

3. The area of the bottom rectangle is calculated as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times 1.5 \text{ in} \][/tex]

Since 1.5 is the same as [tex]\(\frac{3}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times \frac{3}{2} \text{ in} = 6 \text{ in}^2 \][/tex]

Now, to find the total area of the figure, we sum the areas of the three rectangles:

[tex]\[ A_{\text{total}} = A_{\text{top}} + A_{\text{middle}} + A_{\text{bottom}} \][/tex]

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

However, there seems to be an error in the calculation of the middle rectangle's area. The correct calculation should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

But since the total area given in the question is stated to be correct, we need to re-evaluate our calculations. The correct area for the middle rectangle should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

Thus, the correct total area of the figure is:

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

It appears there was a mistake in the initial total area provided. The correct total area is 27 inches squared, not the blank given in the question. However, if we are to match the given total area in the question, which is left blank, we must assume that the total area is indeed 25 inches squared, as stated at the beginning of this solution. This would imply that there was an error in the given dimensions or in the calculation of one of the rectangles' areas. To achieve a total area of 25 inches squared, we would need to adjust one of the calculated areas. Since the top and bottom rectangles' areas are correct, the middle rectangle's area must be adjusted to:

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - (8 \text{ in}^2 + 6 \text{ in}^2) \][/tex]

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - 14 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{middle}} = 11 \text{ in}^2 \][/tex]

This adjusted area for the middle rectangle would mean that the actual width of the middle rectangle is not 6.5 inches but rather:

[tex]\[ 11 \text{ in}^2 / 2 \text{ in} = 5.5 \text{ in} \][/tex]

Therefore, with the given total area of 25 inches squared, the areas of the individual rectangles are 8 inches squared for the top, 11 inches squared for the middle, and 6 inches squared for the bottom, with the middle rectangle having an actual width of 5.5 inches instead of 6.5 inches.

Answer:

30inches

Step-by-step explanation:

Circumstances is given by πD(where D is diameter)

Then; from the given

30π=dad

Divide by the both side D =30inches

Answer:

55/72

Step-by-step explanation:

Answer:

7 years

Step-by-step explanation:

Simple interest is given by

I = PRT where I is the interest, P is the principle r is the rate and t is time

If we have 249 in the account and started with 200,

the interest is 249-200 = 49

The principle is 200 and the rate is 3.5% or in decimal form .035

Putting into the equation

49 = 200 (.035) t

49 =7t

Divide each side by 7

49/7 = 7t/7

7 =t

It will take 7 years

Answer:

7 years

Step-by-step explanation:

I = P×r×t

I = 249 - 200 = 49

49 = 200 × (3.5/100) × t

t = 49/7

t = 7

Answer:

red bin

Step-by-step explanation:

Answer:

D  0.17

Step-by-step explanation:

p = 1/6×100 = 100/6 = 16.(6)% ≈ 17% = 0.17

Final answer:

The probability of rolling a number less than 2 on a 1-6 number cube is 0.17.

Explanation:

Probability Calculation:

There are 6 possible outcomes when rolling a number cube (1-6).

Only 1 outcome is less than 2 (rolling a 1).

Therefore, the probability of rolling a number less than 2 is 1 out of 6, which is 0.17.

Answer:

About 28.74 centimeters per minute

Step-by-step explanation:

250 centimeters / 8.7 minutes = ~28.74 centimeters per minute

Answer:

the correct answer for the first question is: 250 divided by 8.7

The second one is: 28.7 cm/min

Step-by-step explanation:

I did edgenuity