IGNORE THE NUMBERS IN THE TABLE PLEASE HELP ME GET THE RIGHT NUMBERS AND EQUATIONS !!!!

A school is constructing a rectangular play area against an exterior wall of the school building.

It uses 120 feet of fencing material to enclose three sides of the play area.



school building

(a) Complete the table by giving the length and area for each width. (The width is the side perpendicular to the building)

Answer:

Step-by-step explanation:

In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.

Tan(29) =26/x                Multiply both sides by x

x tan(29) = 26                 Divide by tan(29)

x = 26/tan(29)                Find tan(29)

x = 26/0.5543                Divide

x= 46.9

Answer:

Object distance, u = -6 cm

Step-by-step explanation:

Given that,

The radius of curvature, R = 15 cm

The radius of the mirror, f = -7.5 cm

We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,

\(\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm\)

So, the object distance is 6 cm.

Answer:

4

Step-by-step explanation:

2+2 you can take it simply as

1*2 + 1*2

or 2^2

or the (square root of 4)^2

all of these ways you get 4

Answer:

2+2=4.

How are you confused!

Answer:

Without specific information about the distribution of grades or the number of students, we cannot calculate the probability.

The probability that a randomly selected student earned a B- or better on the quizzes is approximately 15.87%, assuming a normal distribution of grades with a mean of 75 and a standard deviation of 5.

We first need to understand the distribution of grades in the class. We assume that the grades are normally distributed, with a mean of μ and a standard deviation of σ. This means that the majority of the grades will be clustered around the mean, with fewer students getting grades farther from the mean.
To find the probability that a randomly selected student earned a B- or better on the quizzes, we need to determine the z-score associated with that grade. A z-score measures the distance between a raw score and the mean, in terms of standard deviations. It tells us how unusual or typical a score is within the distribution.
To calculate the z-score, we use the formula:
z = (x - μ) / σ
Where x is the grade we're interested in, μ is the mean of the distribution, and σ is the standard deviation.
Assuming that a B- is equivalent to a numerical grade of 80, and that the mean quiz grade is 75 with a standard deviation of 5, we can calculate the z-score for a B- as follows:
z = (80 - 75) / 5 = 1
Now that we know the z-score associated with a B-, we can look up the probability of getting a score that high or higher in a normal distribution table or use a calculator. For example, using a table, we can find that the probability of getting a z-score of 1 or greater is about 0.1587. This means that approximately 15.87% of students in the class earned a B- or better on the quizzes.
In conclusion, the probability that a randomly selected student earned a B- or better on the quizzes is approximately 15.87%, assuming a normal distribution of grades with a mean of 75 and a standard deviation of 5.

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The correct decision based on the given information would be to (c) Fail to reject H0 in favor of H1. This can be answered by the concept of confidence interval.

The confidence interval (10, 15) means that we are 95% confident that the true population mean, denoted by μ, falls between 10 and 15. The null hypothesis, H0: μ = 16, states that the population mean is equal to 16, while the alternative hypothesis, H1: μ ≠16, states that the population mean is not equal to 16.

The significance level, denoted by α, is given as 0.10, which means that we have a 10% chance of making a Type I error, i.e., rejecting a true null hypothesis. In other words, if the true population mean is actually 16 (as assumed in H0), there is a 10% chance that we might reject it based on our sample data.

Since the confidence interval (10, 15) does not include the value 16, it does not provide evidence to reject the null hypothesis. Therefore, we fail to reject H0 in favor of H1.

Therefore, the correct decision based on the given information is to fail to reject H0 in favor of H1

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Answer:157.47722557

Step-by-step explanation:

We have a purchase of $1,300,000.

The downpayment is $150,000 and the rest is financed.

We can calculate the amount that is owed as:

This amount will be paid in equal amounts, monthly for 20 years.

The interest rate is 16% compounded quarterly.

We have to start by converting the interest rate in a monthly-compounded equivalent rate.

A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:

We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.

We can calculate the amount he will pay each month as:

Answer: the monthly payment is approximately $15654.45.

Answer:  c or d

Step-by-step explanation:

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

Based on the given answer choices, the correct answer would be 40.

To determine the expected number (mean) of left-handed students in a random sample of 400, we need more information on the percentage of left-handed students in the general population. Assuming that the percentage of left-handed students is missing from your question, I will provide a general approach to solving the problem:

1. Find the percentage of left-handed students in the general population.

2. Multiply this percentage by the total number of students in the random sample (400).

For example, if 10% of students are left-handed, then the expected number of left-handed students in a random sample of 400 would be:

0.10 (percentage) x 400 (sample size) = 40 left-handed students.

So, based on the given answer choices, the correct answer would be 40.

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Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

Answer:

-12+8

Step-by-step explanation:

Answer:

4 hours per book

Step-by-step explanation:

The unit rate per book can be found when the number of books read is 1.

To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.

2/3*6=4 hours per book

Hope this helps!

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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The factors of the polynomial are (x + 1)(x - 3).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The upper side of the tiles shows the expression (x + 1), and the left side shows the expression (x - 3).

In both cases, you have to consider how many + x or - x is (one +x in one case and three -x in the other case).

If you multiply the factors, you get,

(x + 1)(x - 3) = x² - 3x + x - 3  

(x + 1)(x - 3) = x² - 2x - 3 .

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Answer:

slope = y'-y/x' - x

= 2-(-2)/3-2

=2+2 /1

=4

slope = 4

Answer:

x=21

Step-by-step explanation:

180-117=63

63÷3=21

After dividing the given expression 4×10²/4×10¹, we have the resultant answer which is 10.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Algebraic expressions contain both numbers and variables in terms, separated by operators, whereas mathematical expressions only contain numbers and operators.

So, we have the expression:

= 4×10²/4×10¹

Now, solve as follows:

= 4×10²/4×10¹

= 4×100/4×10

= 400/40

= 10/1

= 10

Therefore, after dividing the given expression 4×10²/4×10¹, we have the resultant answer which is 10.

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An exponential function that models the value of the stock starting from 2000 is given by\(V(t) = 120 * (0.75)^{(t-2000)\), where V(t) represents the value of the stock at time t.

To model the value of the stock starting from 2000, we can use an exponential function since the value of the stock decreases over time. An exponential function represents the relationship between a variable and time using an exponent.

Let's denote the value of the stock at time t as V(t). We are given that the stock was worth $120 in 2000 and $90 in 2001. To determine the base of the exponential function, we can express the decrease in value as a fraction or ratio.

From 2000 to 2001, the value decreased from $120 to $90. This can be expressed as a fraction: 90/120 = 0.75. This fraction represents the ratio of the stock's value in 2001 compared to 2000.

Therefore, the base of the exponential function is 0.75, and the time variable is t - 2000 since we are measuring time relative to the year 2000.

Putting it together, the exponential function that models the value of the stock starting from 2000 is \(V(t) = 120 * (0.75)^{(t-2000)\).

Using this function, we can calculate the value of the stock for any given year t after 2000. For example, to find the value in 2002, we substitute t = 2002 into the function:

\(V(2002) = 120 * (0.75)^{(2002-2000)\\V(2002) = 120 * (0.75)^2\\V(2002) = 120 * 0.5625\\V(2002) =67.50\)

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Answer:

A. between o.1 and o.3

Step-by-step explanation:

Between 1 and 3, there's 2.

Answer:24.03 units

Step-by-step explanation:

34/360 (pi 9^2)

Answer:

There are 24 boys

Step-by-step explanation:

32-8 = 24

The next time they will flash together will be at 4:00 AM.If they flash together at 1:00 AM.

According to the given information we are trying to find the smallest time interval at which both the lighthouses will flash together.The first lighthouse flashes every 15 minutes, and the second lighthouse flashes every 18 minutes.

To find the LCM of 15 and 18, we can list out the multiples of each number and find the smallest multiple that is common to both.
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ...
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, ...

As we can see, the smallest multiple that is common to both lists is 90. This means that the two lighthouses will flash together every 90 minutes.Since they both flash at 1:00 AM, we can add 90 minutes to 1:00 AM to find the next time they will flash together:
1:00 AM + 90 minutes = 4:00 AM

So, the next time they will flash together will be at 4:00 AM.

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Answer:

A

Step-by-step explanation:

If I'm completely honest I'm not really sure of this cause I hv another way of doing this...

   ,

Answer:

Attach a screenshot or picture or write it out. There is nothing there.

Step-by-step explanation:

Answer:

An Arc is a part of a circle that represents an angle.

On solving the provided question, we can say that the equation, we have is \(t^2 +5t +6.\)

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol. In this case, 2x4=2.

the equation, we have is V = P/I

\(V = \frac{t^3 +9t^2 +26t +24}{t + 4}\)

on dividing

the answer will be \(x^3+9x^2+26x +24=t^2 + 5t + 6\)

x = -4

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