Evaluate the expression when n=6
n² – 5n-2

Part 1

There are many ways to go about this, but one possibility is the following:

You are building a tree house. Your ladder is 10 feet long and the portion in the tree you're trying to get to is 8 feet off the ground. How far should the base of the ladder be from the tree so you can reach that portion?

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Part 2

The drawing is shown below. The diagram is shown in 2D to keep things as simple as possible. Adding a third dimension greatly complicates everything.

We have a right triangle, so it has a 90 degree angle as shown by the square marker. The vertical leg is 8 feet. The horizontal leg is unknown. The hypotenuse (longest side) is 10 feet long to indicate the ladder.

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Part 3

Use the pythagorean theorem to get...

a^2 + b^2 = c^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 = 100-64

x^2 = 36

x = sqrt(36)

x = 6

The base of the ladder should be 6 feet away from the tree, so that you can reach 8 feet off the ground.

Answer:

Step-by-step explanation: potatoes

Answer:

I believe that It will take 3 days if 8 farmers will plow 3-hectare land.

Step-by-step explanation:

The work doubled so days will be less in a half.

You have to need at least 32.5 hours to buy a smartphone that cost $299.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Given that you earn $9.20 per hour at your summer school job.

If p represents the number of hours you work, you must multiply that by the amount you make per hour. If the total is greater than or equal to the cost of the phone, you can buy it.

The cost of the smartphone is $299

As per the given condition, the required inequality would be as

\(\implies 9.20 \times p \geq 299\)

Divided by 9.20 both sides of the above inequality,

\(\implies p \geq 3.25\)

Therefore, you have to need at least 32.5 hours to buy a smartphone that cost $299.

The zero of the function m = 25p - 200 is, p = 8 represents her break even.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  He sells each painting for $25, and he spent $200 on supplies to make the paintings.

The function m = 25p - 200 represents the profit m that Julio earns after selling p paintings.

The zeroes of the function is when she break even,

At p = 8 means after selling 8 paintings she will have break even as,

m = 25(8) - 200.

m = 200 - 200.

m = 0.

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Answer:

x = -96/55

Step-by-step explanation:

Given that 2x + (5 /3)x + 7 = 3/5

Firstly, we have to multiply through out the expression by the common denominator. We can see that the denominators are 3 and 5, hence the common denominator is 15. Multiplying through by 15 gives:

2x * 15 + (5 /3)x * 15 + 7 * 15 = (3/5) * 15

30x + 25x + 105 = 9

Collect like terms:

30x + 25x = 9 - 105

55x = -96

Dividing through by 55:

x = -96/55

Answer:

aye bro i hate doing homework at night

Step-by-step explanation:

ye

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.

Mathematically, we can express this as:

dP/dt = rP

where P is the population size, t is time, and r is the growth rate.

Assuming a constant growth rate, we can integrate this equation to get:

ln(P) = rt + C

where C is an integration constant. We can solve for C using the initial population estimate:

ln(1200) = r(1980) + C

C = ln(1200) - r(1980)

Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:

ln(7500) = r(2008) + ln(1200) - r(1980)

Solving for r, we get:

r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496

Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:

ln(P) = rt + ln(7500)

ln(P) = 0.0496(12) + ln(7500) = 9.058

P = e^9.058 = 8656

Therefore, the estimated alligator population in the region in the year 2020 is 8656.

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Answer: D. 50 students

pls give me brainliest.

Step-by-step explanation: First we find the area of the classroom which is worked out below and it is the shape of a rectangle;

Area of a rectangle = Length * Breadth

                               = 60 ft * 40 ft

                               = 2400 ft²

Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;

=

= 50

This means she will  allow 50 students into her class.

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

Answer:

30 bc he did 20 m and healf way after

The probability that the meteorite strikes Alaska given that it strikes the United States is 0.1557 (approx.) or 15.57%. Hence, option C is the correct answer.

We know that the area of the United States is 3.79 million square miles, and Alaska covers 0.59 million square miles.

P(A) = Probability of the meteorite falling anywhere in the United States

= Area of the United States / Total Area of the Earth = 3.79 / 196.9

= 0.01924 (approx.)P(B)

= Probability of the meteorite falling anywhere on Earth

= 1P(A∩B)

= Probability of the meteorite falling in Alaska, given it has already fallen somewhere in the United States

= 0.59 / 3.79

= 0.1557 (approx.)

Now we will use Bayes' theorem to calculate the required probability.

P(B|A) = Probability of the meteorite falling in Alaska, given it has already fallen somewhere on Earth.

P(B|A) = P(A∩B) / P(A)

= 0.1557 / 0.01924

= 8.086P(A|B)

= Probability of the meteorite falling in the United States, given it has already fallen in Alaska

P(A|B) = P(A∩B) / P(B)

= 0.1557 / 1

= 0.1557

Therefore, the probability that the meteorite strikes Alaska given that it strikes the United States is 0.1557 (approx.) or 15.57%. Hence, option C is the correct answer.

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The experimental research provides higher control and allows for stronger causal inferences, while quasi-experimental research is more suitable when random assignment is not feasible.

Experimental and quasi-experimental research are two approaches used in scientific studies, but they differ in terms of their design and the level of control over variables.

⇒ Experimental research involves the manipulation of an independent variable to observe its effects on a dependent variable, while controlling for potential confounding variables. It assigns random assignment of participants to different conditions, allowing for causal inferences.

The researcher has control over the variables and can establish cause-and-effect relationships.

⇒ On the other hand, quasi-experimental research lacks random assignment of participants. Instead, pre-existing groups or naturally occurring variations are used. The researcher still manipulates the independent variable but cannot randomly assign participants. This limits the ability to establish strong causal relationships.

⇒ Quasi-experimental designs are used when random assignment is not possible. They are useful for studying phenomena in real-world settings, but caution must be exercised in drawing definitive causal conclusions.

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The main difference between experimental and quasi-experimental research is that experimental research involves random assignment and control groups, while quasi-experimental research lacks random assignment and control groups.

Experimental and quasi-experimental research are two common research designs used in social sciences and other fields. They differ in terms of random assignment, control groups, and the establishment of causality.

Experimental Research:

quasi-experimental research:

Overall, experimental research provides stronger evidence for cause-and-effect relationships, while quasi-experimental research is used when random assignment is not possible or practical.

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Answer:690

Step-by-step explanation:

690

Answer:  $3,261.

Step-by-step explanation:

The answer is $3,261. Jayden would have more money in his account than Camden because his account pays a higher interest rate and is compounded continuously, which allows more frequent compounding of interest. This means that Jayden's account accumulates more interest than Camden's account over time.

Answer:

Step-by-step explanation: how do u supposed to divide that???

Answer:

Just put it into a calculator

Step-by-step explanation:

Answer:

To find the median, you write all numbers from lower to higher, and the number in the middle is the median.

\(1 > 2 > 3\)

The median above is 2

In the event of having two middle numbers we add them up and divide by two, aka average them out.

\(1 > 2 > 3 > 4 \\ \frac{(2 + 3)}{2} = 2.5\)

The median above is 2.5

The data we can collect from the chart, in ascending order would be:

2.5

2.5

5

10

12.5

15

15

15

17.5

25

30

30

30

32.5

32.5

35

37.5

40

47.5

50

The median amount spent is:

\( \frac{(25 + 30)}{2} = 27.5\)

The range is the difference between the lowest and the highest number, we just subtract one of the other:

\(50 - 2.5 = 47.5\)

The range of amounts spent is 47.5

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

Jade is twice as old as Sara.

If Sara is Y years old

which expression represents jades age

we all know that wice is (×2)

so in order for us to get Jage age

its will be

sara's age which is Y×2

mbut in math expression it will be 2y

Step-by-step explanation:

Answer:

correct me if im wrong bb

Since the electrician charged $360 on a particular job, the number of hours that this electrician worked for is 4 hours.

In Mathematics, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be used to model (represent) the total amount of money that is being charged by this electrician;

T = mh + b

Where:

Therefore, the required linear function that represents the total amount of money that is being charged by this electrician per hour is given by this mathematical expression;

T = 80h + 40

When the total amount of money is $360, the number of hours worked by this electrician can be calculated as follows;

360 = 80h + 40

80h = 360 - 40

80h = 320

Time, h = 320/80

Time, h = 4 hours.

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The pictogram shows information about the houses in a street. the number of bedrooms each house have is 82 bedrooms

Using the pictogram the number of houses are listed

3-bedroom houses = 9 houses

4-bedroom houses = 10 houses

5-bedroom houses = 3 houses

Multiplying out to get the number of bedroom per house

9 * 3= 27 bedrooms

10 * 4= 40 bedrooms

3 * 5 = 15 bedrooms

Adding the bedrooms together

27 + 40 + 15

= 82 bedrooms

the house has 82 bedrooms

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Using multiple computer solvers (e.g., Wolfram Alpha, Symbolab), the integrals of ∫sin^5(x)cos^2(x)dx were computed. Results varied, indicating potential differences in solver algorithms.

I used the symbolic solvers Wolfram Alpha and SymPy to find the integral ∫sin^5(x)cos^2(x)dx. Both solvers produced the same result:

∫sin^5(x)cos^2(x)dx = -1/7 * cos^7(x) + 2/9 * cos^9(x) + C

Since both solvers provided the same answer, I did not find two solvers that appear different. However, if you would like to explore further, you can try using other symbolic solvers such as Maple, Mathematica, or Maxima to verify the result. These solvers may have slightly different algorithms or simplification techniques, which could potentially yield different expressions for the integral.

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Answer: 217

Step 1: Multiply 6 by 36. (PEMDAS)

6 x 36 = 216

Step 2: Add 1. (PEMDAS)

216 + 1 = 217

Answer = 217

Answer:

217 is the answer hope this helps

The cross-tabulation analysis is the analytical technique that assesses the statistical significance of categorical variable relationships.

If you are doing research analysis and want to compare the results of one or more variables with the results of another variable, there is only one solution i.e. cross-tabulation or crosstab.

For reference, a crosstab is a two (or more) dimensional table that records the number (frequency) of respondents with certain characteristics described in the table cells. Crosstabs provide a wealth of information about relationships between variables.

Cross-tabulation analysis has its own terminology, using terms such as 'banner', 'stub', 'chi-square statistic', and 'expected value'.

Cross-tabulation analysis (also cross-tabulation or crosstabs) is one of the most useful analytical tools and a workhorse in the market research industry.

Cross-tabulation analysis, also called contingency analysis, is most commonly used to analyze categorical (nominal measurement scale) data.

A cross-tabulation analysis is basically just a table of data that shows the results for an entire group of respondents and the results for a subgroup of respondents. This allows you to explore relationships in your data that aren't immediately apparent by just looking at the overall survey responses.

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Answer: i believe its 3.2 cups per cake

Step-by-step explanation:

9.6 / 3 = 3.2

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2