question content area top left part 1 find parametric equations that define the curve starting at (5,0) and ending at (7,7) as shown. let parameter t start at 0 and end at 7.

Answer:

1. CHECK

2. CHECK

Step-by-step explanation:

i hole it helps

We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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Answer:

yes.........................................................

Step-by-step explanation:

Answer:

result is x^2+3x-8 sorry for the photo quality

Answer:

a. -3x +73

b. 73 ounces

c. 24.33 seconds

Step-by-step explanation:

a.

\(m=\frac{28-58}{15-5}\\m=-3\\\\y=mx+c\\58=-3(5)+c\\58=-15+c\\c=58+15\\c=73\\\\y=-3x+73\)

b.

\(y=-3(0)+73\\y=73\)

c.

\(0=-3x+73\\-3x=0-73\\x=\frac{-73}{-3}\\x=24.33\)

Answer:

1030pm to 750 am

that is 9 hours and 20 minutes

Hope I get brainliest (:

The addition is one of the four fundamental mathematical operations. The total time that is taken by the train to reach Chittagong from Dhaka is 9 hours and 20 minutes.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that train left Dhaka train station at 10:30 pm. Therefore, the time from 10:30 pm to 12 a.m is 1 hour 30 minutes.

Further, the train arrived at Chittagong train station at 7:50 am the next day. Therefore, the time from 12 a.m to 7:50 am is 7 hours and 50 minutes.

Further, the total time that is taken by the train to reach Chittagong from Dhaka is,

Time = 1 hour 30 minutes + 7 hour 50 minutes

        = 9 hours and 20 minutes

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I would say (I am abbreviating square root to sqrt)

1. 4 sqrt(8488) = 4 sqrt(2x2x2122) = 8 sqrt(2122)

2. 3 sqrt(6936) = 3 sqrt(6x34x34) = 102 sqrt (6)

3. 2 sqrt(8648) = 2 sqrt(2x2x2162) = 4 sqrt(2162)

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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Ocean depth is commonly measured using the unit of fathoms, which represents a specific length underwater. However, since fathoms may not be a familiar or relatable unit for many people, it is often converted to more commonly used units such as meters.

In this case, the depth of an area off the coast of Bermuda was determined to be 780 fathoms. To convert this measurement to meters, we use the conversion factor that one fathom is equal to 1.8288 meters. By multiplying the number of fathoms (780) by the conversion factor (1.8288 meters/fathom), we can calculate the depth in meters.

The calculation would be: 780 fathoms * 1.8288 meters/fathom = 1425.984 meters.

Therefore, the depth of the area off the coast of Bermuda is approximately 1425.984 meters. This conversion allows for a more relatable and commonly used unit of measurement when discussing ocean depths.

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This process is often called "completing the square". Recall that

\((a+b)^2 = a^2 + 2ab + b^2\)

Let

\(x^2 + 4x - 8 = (x + p)^2 + q\)

Expand the right side to get

\(x^2 + 4x - 8 = x^2 + 2px + p^2 + q\)

Then

\(\begin{cases}2p = 4 \\ p^2 + q = -8\end{cases} \implies \boxed{p = 2 \text{ and } q=-12}\)

More generally, we can use this method rewrite a generic quadratic as

\(ax^2 + bx + c = a \left(x + \dfrac b{2a}\right)^2 - \dfrac{b^2}{4a} + c\)

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

As  \(\sqrt[5]{c}\)  is the fifth root of c, therefore,  \(\sqrt[5]{c}\) can be written as: \(\left(c\right)^{\frac{1}{5}}\)

In other words,

\(\:c^{\frac{1}{5}}=\sqrt[5]{c}\)

Therefore, option C is correct.

Step-by-step explanation:

Given the expression

\(\sqrt[5]{c}\)

Here,

As  \(\sqrt[5]{c}\)  is the fifth root of c, therefore,  \(\sqrt[5]{c}\) can be written as: \(\left(c\right)^{\frac{1}{5}}\)

In other words,

\(\:c^{\frac{1}{5}}=\sqrt[5]{c}\)

Therefore, option C is correct.

Answer:C

Step-by-step explanation:

The theoretical probability that the coin lands on heads and roll the cube and the number are less than 5 is 1/3.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

There are 6 faces of a cube.

The numbers less than 5 on a cube are 1, 2, 3, 4.

The number of favorable outcomes is 4.

The total number of outcomes is 6.

The probability of getting less than 5 is

favorable outcome/ total number of outcomes = 4/6 = 2/3.

The number of faces of a coin is 2.

The number of heads of a coin is 1.

The probability of getting head is 1/2.

The probability of getting less than 5 in a roll and head in the coin is

2/3 × 1/2 = 1/3.

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Answer:

90 minutes or 1 1/2 hours

Step-by-step explanation:

One mile = 15 minutes

6 x 1 miles = 15 x 6 minutes

6 miles = 90 minutes or 1 1/2 hours

Answer:

1. 2(-6)-10+10= (-12)

3. (4)(-1)=(-4)

5. 10+(-1)=9

7. 2²-7+7=2²=4

9. (-7)²-2²=49-4=45

11. 6(-10)+(-10)+5=(-70)+5=(-65)

13. (-4)²+(-1)²+2=16+1+2=19

15. Cant tell what r is

Step-by-step explanation:

If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Step-by-step explanation:

26. x²+5x+25/4 = (x + 5/2)²

29. x²/4y²-2/3+4y²/9x² = (x/2y - 2y/3x)²

Answer:

In attachment I have answered this problem.↑↑

Answer: (A) 72

Step-by-step explanation:

1. 12m x 2m = 24

2. 12m x 4m = 48

3. add both answers together 24m + 48m = 72

The average rate of change when x increases from -3 to 5 is given as follows:

r = (f(5) - f(-3))/8.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the average rate of change is given by the fraction presented as follows:

\(r = \frac{f(b) - f(a)}{b - a}\)

In the context of this problem, the input x increases by -3 to 5, hence the change in the input is given as follows:

b - a = 5 - (-3) = 5 + 3 = 8.

The change in the output is given as follows:

f(b) - f(a).

(the problem is incomplete hence the answer is given in general terms).

Then the average rate of change of the function when x increases from -3 to 5 is given as follows:

r = (f(5) - f(-3))/8.

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The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population

The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:

Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or

H0: p <= 0.47

Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or

Ha: p > 0.47

where p is the true proportion of college students who believe in extraterrestrial life.

In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.

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The sequence converges, and the limit is ln(7).

To determine whether the sequence converges or diverges and find the limit, we can follow these steps:

1. Simplify the expression for an using logarithmic properties.
2. Evaluate the limit as n approaches infinity.

Step 1: Simplify the expression for an.
an = ln(7n² + 8) - ln(n² + 8)
Using the logarithmic property ln(a) - ln(b) = ln(a/b):
an = ln((7n² + 8)/(n² + 8))

Step 2: Evaluate the limit as n approaches infinity.
lim (n→∞) an = lim (n→∞) ln((7n² + 8)/(n² + 8))

To evaluate this limit, we can use the fact that the dominant term in both the numerator and the denominator is the n² term. Divide both numerator and denominator by n²:

lim (n→∞) ln((7 + 8/n²)/(1 + 8/n²))

As n approaches infinity, the terms 8/n² in the numerator and denominator approach zero:

lim (n→∞) ln((7 + 0)/(1 + 0)) = ln(7/1) = ln(7)

So, the sequence converges, and the limit is ln(7).

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6^2 + x^2 = 12^2

36 + x^2 = 144

x^2 = 144-36

x^2 = 108

It seems most likely it is D.

Answer: an=bc

Step-by-step explanation:

AC, BC, AD, BD, and AB are the radii of the circles. And ABD and ABC are equilateral triangles. Then the correct options are A, B, and E.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

This diagram was constructed with straightedge and compass tools. A is the center of one circle, and C is the center of the other.

From the graph, AC, BC, AD, BD, and AB are the radii of the circles.

AC = BC = AD = BD = AB

And ABD and ABC are equilateral triangles.

Then the correct options are A, B, and E.

The complete diagram is given below.

Your question was incomplete, but the complete question is attached below.

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Answer:

İt is solved by using derivative

The edges of box are 20–2x,15–2x and x

Volume=(20–2x).(15–2x).x

İf you take derivative and then find the roots of derivative we obtain exstramum points that means these values make volume maximum or minimum

But

Answer is not rational

Answer:

A = 300-x^2 for area

A = 20L * 15 -x^2   for area

20L - x^2 = 300 - x^2 /15 -x^2 could also work to find length .

SIMPLIFIED

L - x = 300/20 -  ( x^2 )/ 15 - x

Step-by-step explanation:

Length = L = 20 inches.

Area of one side = A = 15 X 20 = 300 cm^2

= 300 - x^2  

This means the missing corner square is also squared

Simplifies to sqrt 300 - x

but as length was asked 20L * 15 -x^2

we know one side may be 15x 15

and if one side is 15 x 20

then instead of 15 x 15 it may be 15 x 20

eitherway we are looking at one side representing area of one side of the box. 300-x is our answer.

\(~~~~~~~~~~~~\stackrel{\textit{\LARGE Sydney}}{\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}}\)

\(A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right) \\\\ \qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 100\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases}\)

\(A=100\left[ \cfrac{\left( 1+\frac{0.008}{12} \right)^{12 \cdot 10}-1}{\frac{0.008}{12}} \right]\left(1+\frac{0.008}{12}\right) \\\\\\ A=100\left[ \cfrac{\left( \frac{1501}{1500} \right)^{120}-1}{\frac{1}{500}} \right]\left(\frac{1501}{1500}\right) \implies {\Large \begin{array}{llll} A \approx 12497.05 \end{array}}\)

Answer:

28 cups= 14 pints

Step-by-step explanation:

have a good day

Answer:

28 cups

Step-by-step explanation:

If you multiply 14 x 2, you get 28.

Answer:

15:16 boys to girls

Step-by-step explanation:

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

17, -5, and 10

Step-by-step explanation:

In a nutshell, for this problem, the coefficients are the numbers that go in front of the variables.

The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Henry's balloon is 48 miles after 2 hours.

Tasha's balloon after 2 hours will be:

= 8x + 20

= 8(2) + 20

= 32 miles

In this case, Henry's balloon is farther.

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