which trig function would you use?

The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

The given table shows the height of a candle as it burns continuously over time. The first column represents time in hours, ranging from 0 to 1, while the second column represents the corresponding height in centimeters.

From the data, we can observe that the candle starts at a height of 25 centimeters when the time is 0 hours. As time progresses, the height of the candle decreases gradually. Specifically, for every hour that passes, the candle burns 0.625 centimeters.

Therefore, the main answer is that the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

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Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.

Therefore, factors which vary systematically with the given independent variable is called  confounds variables or extraneous variable.

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Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:

\(P = \frac{520}{1000} \times 100\% = 52\%\)

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Answer:

m = -2

Step-by-step explanation:

because of rise/run you can simply see the slope

Answer:

Is the answer \(x=x^{2}\) g(x)? If not please tell me.

Step-by-step explanation:

Hope this helps and have a great day!

The postulate that can be used to prove the two triangles are congruent is (c) None of the other answers are correct

The figure represents the given parameter

There are two triangles in the figure

Such that the triangles are similar triangles or congruent

From the question, we understand that the triangles are congruent

Also, we know that

UQ ≅ AC and QD ≅ AU

There is no point C on any of the triangles

This means that we cannot ascertain the congruency of the triangles

Hence, the true statement is (c)

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Answer:

woah this is cool! thanks! :)))

Step-by-step explanation:

2/3

i dont know how to explain it all i learned was rise over run (rise/run) just like y/x but its easier to rmrmber

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

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Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

Answer:

0.097%

Step-by-step explanation:

Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.

1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%

The equation that represents the linear function is y = 2x.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let us assume that from the table, we get the data with points (0, 0) and (2, 4). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{4-0}{2-0} (x-0)\\\\y=2x\)

The equation that represents the linear function is y = 2x.

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Answer:

Step-by-step explanation:

answer is -10

In this problem, we are given the following parameters: The transmission line efficiency is 2.11%.

Z= (r+ jwL)l= (0.15+j2m x 60 × 1.3263 × 10-³)40 = 6 + j20 146.

The receiving end voltage per phase is 220/0° √3 VR.

The apparent power is SR(34) = 381/cos ¹0.8

= 381/36.87° 304.8 +j228.6 MVA.

The current per phase is given by SR(30) 3 VR.

From (5.3) the sending end voltage is IR=- = 127/0⁰ kV381-36.87° × 10³.

Now we will use this information to find the transmission line efficiency.

Efficiency is defined as the ratio of output power to input power.

The input power in this case is the apparent power (SR). The output power is given by Vs*Is*.We know that: Vs = VR + Z * IRVs = 127/0° + (6 + j20) (1000/-36.87°) (10-³)

= 144.33/4.93⁰ kV

Therefore, the output power is given by:

Sout

= Vs * Is

Sout = 144.33/4.93° kV * 1000/-36.87° A = 5.27 MW

Now, we can find the efficiency using the following formula:

Efficiency =

Pout / Pin

Efficiency

= Sout / SR

= (5.27 MW) / (304.8 + j228.6 MVA)

= 0.0172 + j0.0129

We can find the magnitude of efficiency as follows:

|Efficiency|

= sqrt(0.0172^2 + 0.0129^2)

= 0.0211 or 2.11%

Therefore, the transmission line efficiency is 2.11%.

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Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

Answer:

All real numbers

Step-by-step explanation:

The domain represents the x-coordinates, so you can see on the graph that it goes all the way out to both the left and right directions, meaning it covers all the negative numbers, and all the positive numbers. The question is trying to trick you into thinking about the range, but forget about the y-axis for this one.

Answer:

All real numbers or the second choice

Answer: the rock layers of the Grand Canyon

Step-by-step explanation:

Explanation: Steno's law are often applied when we want to do relative dating of rock

Answer:

110 pounds

Step-by-step explanation:

Let the weight of Sandra, Peter and Martin be S, P and M pounds respectively.

S +P= 275 -----(1)

S +M= 245 -----(2)

S +P +M= 410 -----(3)

(3) -(1):

S +P +M -(S +P)= 410 -275

S +P +M -S -P= 135

M= 135

Substitute M= 135 into (2):

S +135= 245

S= 245 -135

S= 110

Thus, Sarah weighs 110 pounds.

The value of x in the expression √(3x) + 8 = √(4x + 4) + 7 is

The given expression:

√(3x) + 8 = √(4x + 4) + 7

collection like terms

8 + 7 = √(4x + 4) - √(3x)

rearranging

√(4x + 4) - √(3x) = 8 + 7

simplifying further

√(4x - 3x + 4) = 15

√(x + 4) = 15

Squaring both sides

x + 4 = 15²

x + 4 = 225

x = 225 - 4

x = 221

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Answer:

3.26, 3.42, 3.55, 4.48

Step-by-step explanation:

that is the smallest number to the largest

Not replacing the first marble makes the events dependent because the outcome of the first draw affects the probability of the second draw. After the first blue marble is drawn, there are only two blue marbles and four marbles in total remaining in the bag. Therefore, the probability of drawing a second blue marble is lower than the probability of drawing a blue marble on the first draw. The probability of drawing two blue marbles is calculated as the product of the probability of drawing a blue marble on the first draw and the probability of drawing another blue marble on the second draw, given that the first marble was not replaced.

Answer:

9

Step-by-step explanation:

2( 3/2 )/ 3/9 =9 Put Substitute 3/2 for m and put into a calculator.

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

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Answer:

Step-by-step explanation:

Angle ABE = 90°

Angle CBE = 37° (opposite angle)

90 - 37 = 53°

Answer:

Step-by-step explanation:

Answer: 24.9

Step-by-step explanation:

a) it takes 9.61 seconds for the automobile to overtake the truck. b) The automobile was initially 165.34 meters behind the truck. c) During the overtaking, the speed of the truck is 21.142 m/s, and the speed of the automobile is 33.635 m/s.

To solve this problem, we can use the equations of motion to calculate the time it takes for the automobile to overtake the truck, the initial distance between them, and their speeds during the overtaking.

Let's denote the time it takes for the automobile to overtake the truck as t.

(a) For the truck:

Using the equation of motion s = ut + (1/2)a\(t^{2}\), where s is the distance covered, u is the initial velocity (0 in this case), a is the acceleration (2.2 m/s^2), and t is the time, we can find the distance covered by the truck when the automobile overtakes it.

s_truck = (1/2) * 2.2 * \(t^{2}\)

s_truck = 1.1 *  \(t^{2}\)

For the automobile:

s_automobile = (1/2) * 3.5 * \(t^{2}\)

s_automobile = 1.75 *  \(t^{2}\)

Given that the truck has moved 60 m when the automobile overtakes it, we can set up the equation:

s_truck = s_automobile + 60

1.1 *  \(t^{2}\)  = 1.75 *  \(t^{2}\)  + 60

Simplifying the equation:

0.65 *  \(t^{2}\)  = 60

\(t^{2}\)  = 60 / 0.65

\(t^{2}\)  ≈ 92.3077

t ≈ √92.3077

t ≈ 9.61 seconds

Therefore, it takes approximately 9.61 seconds for the automobile to overtake the truck.

(b) To find the initial distance between the automobile and the truck, we can substitute the value of t into either of the equations:

s_automobile = (1/2) * 3.5 *  \(t^{2}\)

s_automobile = (1/2) * 3.5 * \((9.61)^{2}\)

s_automobile ≈ 165.34 meters

Therefore, the automobile was initially approximately 165.34 meters behind the truck.

(c) To find the speeds of the automobile and the truck during overtaking, we can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time.

For the truck:

v_truck = 0 + 2.2 * 9.61

v_truck ≈ 21.142 m/s

For the automobile:

v_automobile = 0 + 3.5 * 9.61

v_automobile ≈ 33.635 m/s

Therefore, during the overtaking, the speed of the truck is approximately 21.142 m/s, and the speed of the automobile is approximately 33.635 m/s.

Correct Question :

An automobile and a truck start from rest at the same instant, with the automobile initially at some distance behind the truck. Then truck has a constant acceleration of 2.2 m/s2 and the automobile has an acceleration of 3.5 m/s 2. The automobile overtakes the truck when it (truck) has moved 60 m.

(a) How much time does it take to automobile to overtake the truck?

(b) How far was the automobile behind the truck initially?

(c) What is the speed of each during overtaking?

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Answer:

No

Step-by-step explanation:

Criteria for finding a right triangle is that sum of square of two sides = square of the third side.

Let the sides be A, B and C.

( i.e )

A² + B² = C²

So,

Let,

A = 8

B = 30

C = 31

8² + 30² = 31²

64 + 900 = 961

964 ≠ 961

Hence,

Sides 8, 30, and 31 will not form a right triangle.

The expression below is the kth step of unrolling f(n):

f(n) = f(n – k) + k + k-1Σ (n − i)² i=0

Given that we define f(n) for positive integers n as follows:

f(1) = 2f(n) = 1+ f(n-1) + n² for all n ≤ 2

We are to determine the expression below that is the kth step of unrolling f(n).

To obtain the expression, we will use the recursive definition of f(n):

f(n) = 1 + f(n - 1) + n²

Since the question is asking for the kth step of unrolling f(n),

let's first define a new function f_k(n) which represents the value of f(n) after k unrollings.

Then:f_0(n) = f(n)f_1(n) = 1 + f_0(n - 1) + (n - 1)² = f(n - 1) + n²f_2(n) = 1 + f_1(n - 1) + (n - 2)² = f(n - 2) + (n - 1)² + n²f_3(n) = 1 + f_2(n - 1) + (n - 3)² = f(n - 3) + (n - 2)² + (n - 1)² + n². . .f_k(n) = f(n - k) + (n - k + 1)² + (n - k + 2)² + ... + n²

The expression below is the kth step of unrolling f(n):

f(n) = f(n – k) + k + k-1Σ (n − i)² i=0,

where k represents the number of unrollings.

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