HELP RIGHT NOW PLEASE! The perimeter of the rectangle below is 94 units. Find the length of side PS. Write your answer without variables

The mathematical term used to designate a trapezoid (or trapezium in the UK) having its two non-parallel sides of equal length is an isosceles trapezoid.

The mathematical term used to designate a trapezoid having its two non-parallel sides of equal length is called an isosceles trapezoid or isosceles trapezium in the UK.

This shape is also sometimes referred to as a regular trapezoid, but the term "isosceles trapezoid" is more commonly used.

A trapezoid is a four-sided polygon that has two parallel sides and two non-parallel sides. The parallel sides of a trapezoid are called the bases, and the non-parallel sides are called the legs. The distance between the bases is called the height of the trapezoid.

The area of a trapezoid is given by:

Area = ((base1 + base2) x height) / 2

where base1 and base2 are the lengths of the two parallel sides, and height is the distance between the parallel sides.

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How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?How are the solutions of an inequality different from the solutions of an equation?

Step-by-step explanation:

Answer:

-6 ?

Step-by-step explanation:

The type of solution set in the system of equation is no solution

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

x=-71+34 x+71=32

This equation can be properly expressed as

x = -71y + 34

x + 71y = 32

Make x the subject in the second equation

x = -71y + 32

Substitute x = -71y + 32 in x = -71y + 34

-71y + 32 = -71y + 34

An equation that has no solution is represented as:

ay + b = ay + c

The above means that the variable term of both sides of the equations are the same, while the constant terms are different

The equation -71y + 32 = -71y + 34 conform to the statement above

Hence, the equation has no solution

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Answer:

no

Step-by-step explanation:

it stays the same ok

In the given case, people staying away from the city centre are not being irrational but, their opportunity cost of commuting must be lower

Opportunity cost is the price of forgone options or the worth of the next best option that must be given up in order to pursue a certain choice. The opportunity cost of commuting might encompass not just the time and money spent on transportation, but also the advantages and disadvantages of living in various places. In the given case, living close to the city centre, could make it simpler to access social events, entertainment, and cultural activities, while relocating further away might provide you access to more space, privacy, and natural surroundings.

As a result, depending on their personal and professional ambitions, financial limitations and other considerations, different people may have various preferences and trade-offs when deciding where to live and how much to commute. Some people might put their commute time and cost reduction first, while others might put other aspects of their lifestyle and surroundings first.

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Step-by-step explanation:

A= 8100

B= 135

C= 4

D=225

Answer: $5.33

Step-by-step explanation:

Bliss was able to collect $18 in total.

Out of this total, she received a $2.00 bronze star donation and the rest were 3 Silver star donations.

This means that the 3 equal silver star donations added up to:

= 18 - 2

= $16.00

This means that each silver star donation was:

= Amount in total / Number of silver stars

= 16 / 3

= $5.33

The number a(t) is 5Q(t)=20t+2000 of pounds of salt in the tank at time t.

The expression that gives the amount of salt in the tank at any given time t is given as a(t)=5Q(t),

where Q(t) is the total amount of water and brine in the tank at time t.

We will use the differential equation to solve the problem.

The differential equation for Q(t) is given by the differential equation:

dQ/dt=4.

To solve this differential equation, we can use the initial condition that the tank is full of 400 gallons of pure water when t=0.

This means that Q(0)=400.

The solution to the differential equation is Q(t)=4t+400.

The expression for a(t) is therefore a(t) = 5Q(t) =20t+2000.

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We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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Answer:

If the triangle is equilateral, then the triangle is also equiangular.

Step-by-step explanation:

Answer:

20.84

Step-by-step explanation:

$25.36 - $4.52 = $20.84

Hope this helps

The probability that the sample mean will be between 3267.7 and 3404.5 hours is 0.389.

To find the probability that the sample mean will be between 3267.7 and 3404.5 hours, we can use the Central Limit Theorem.

The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

First, we need to calculate the standard error (SE), which is the standard deviation of the sample mean. The standard error is given by the formula:

SE = standard deviation / square root of sample size.

In this case, the standard deviation is 645 hours and the sample size is 32. So,

SE = 645 / sqrt(32)

= 114.42 hours.

Next, we can use the z-score formula to calculate the z-scores for the given sample mean values. The z-score formula is:

z = (x - μ) / SE, where x is the sample mean, μ is the population mean, and SE is the standard error.

For the lower limit of 3267.7 hours, the z-score is

(3267.7 - 3400) / 114.42

= -1.147.

For the upper limit of 3404.5 hours, the z-score is

(3404.5 - 3400) / 114.42

= 0.038.

Now, we can use a z-table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to a z-score of -1.147 is 0.1269, and the probability corresponding to a z-score of 0.038 is 0.5159.

To find the probability that the sample mean will be between 3267.7 and 3404.5 hours, we subtract the probability corresponding to the lower z-score from the probability corresponding to the upper z-score:

0.5159 - 0.1269 = 0.389.

So, the probability that the sample mean will be between 3267.7 and 3404.5 hours is 0.389.

The probability that the sample mean will be between 3267.7 and 3404.5 hours is 0.389.

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Answer:

thxs

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

first we simp. 18:x=x:8 to x^2=18*8. In which case it is x^2=144 x=12

Answer:

4

Step-by-step explanation:

95 - 12.25 = 82.75

82.75 ÷ 17 = 4.867

Based on the random sample, there is not enough evidence to conclude that more than 65% of all adults in the US use television as one of their main sources of news.

To answer your question, we will perform a hypothesis test using the given information.
Step 1: State the hypotheses.
H0 (null hypothesis): p = 0.65 (65% of all adults in the US use television as one of their main sources for news)
Ha (alternative hypothesis): p > 0.65 (more than 65% of all adults in the US use television as one of their main sources for news)
Step 2: Determine the sample proportion (p-hat) and sample size (n).
p-hat = 0.66 (66% from the random sample of 1500 adults)
n = 1500
Step 3: Calculate the test statistic (z) using the formula:
z = (p-hat - p) / sqrt[(p * (1-p)) / n]
z = (0.66 - 0.65) / sqrt[(0.65 * (1-0.65)) / 1500]
z = 0.01 / 0.013 (given Sâ¢Eâ¢=â0.013)
z ≈ 0.77
Step 4: Find the p-value corresponding to the test statistic.
Using a z-table or calculator, we find the p-value for z = 0.77 is approximately 0.2206. Since this is a one-tailed test, we will use this p-value directly.
Step 5: Compare the p-value to the significance level (α) and make a decision.
Assuming a common significance level (α) of 0.05, our p-value (0.2206) is greater than α. Therefore, we fail to reject the null hypothesis (H0).

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Boris Milkem the transactions take place, the number of dollars and francs Boris desires to have must not be negative.

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Answer:

$3,408.49

Step-by-step explanation:

To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:

A = P * ((1 + r)^n - 1) / r

Where:

A = Value of the annuity

P = Monthly deposit amount

r = Interest rate per period (monthly interest rate in this case)

n = Total number of deposits

First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667

Next, let's substitute the given values into the annuity formula:

P = $50

r = 0.0041667 (monthly interest rate)

n = 60

A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667

Now we can calculate the value of the annuity using a calculator or spreadsheet:

A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49

A horizontal parabola with a right-facing opening and a vertex at (1,1) is we have positive direction.

In order to make the coefficients of either the variable x or the variable y numerically equal, first multiply both of the following equations by any suitable non-zero constants.

Finding the single equation of a curve in standard form with only the variables xs and ys constitutes the cartesian equation of that curve. You must simultaneously solve the parametric equations in order to arrive to this equation.

X and Y both

are t-related functions.

We have t=y1 after solving y=t+1 to get t as a function of y.

Thus, given x=t2+1, we have x=(y1)2+1x1=(y1) by substituting t=(y1).

A horizontal parabola with a right-facing opening and a vertex at (1,1) is what we have positive direction.

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Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

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The fifth term of the geometric progression is 6.75

Given the geometric progression 4/3, 18/9, 1, 16/27.​..

The nth term of a geometric progression is expressed according to the equation \(a_n=ar^{n-1}\)

Given the following parameters;

a = 4/3

r = 18/9 * 3/4 = 3/2

n = 5

Substitute the given values into the formula

\(a_5=\frac{4}{3}(\frac{3}{2} )^{5-1}\\a_5 =\frac{4}{3}(\frac{3}{2} )^{4}\\a_5=\frac{4}{3}(5.0625)\\a_5=6.75\)

Hence the fifth term of the geometric progression is 6.75

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Answer:

4(5) +9 =29. Hope this helped:)

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

First, input 5 instead of w:

4(5) + 9

Then, distribute (get rid of parentheses):

20 + 9

Finally, simplify (add):

The answer is 29

Hope this helps ^^

Answer:

Step-by-step explanation:

Given function is,

f(x) = 5x - 3

Where f(x) represents the output values and 'x' is the variable representing the input values.

For x = -2,

f(-2) = 5(-2) - 3

     = -13

For x = -1,

f(-1) = 5(-1) - 3

     = -8

For x = 0,

f(0) = 5(0) - 3

     = -3

For x = 1,

f(1) = 5(1) - 3

    = 2

For x = 2,

f(2) = 5(2) - 3

     = 7

For x = 3,

f(3) = 5(3) - 3

     = 12

Table for the input-output values will be,

x          -2           -1           0           1             2          3

f(x)      -13          -8         -3           2            7          12

Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.

A standard deviation of 18 the scores were normally distributed 550 represents 100% of the total 24,000 students.

To find the percentage that 550 represents out of the total 24,000 students, to calculate the cumulative probability up to that score based on the given normal distribution parameters.

First to convert the raw score of 550 into a z-score, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ

Where:

x = Raw score (550)

μ = Mean (56)

σ = Standard deviation (18)

z = (550 - 56) / 18

z = 494 / 18

z ≈ 27.44

Using a standard normal distribution table or a statistical calculator find the cumulative probability associated with a z-score of 27.44. However, since the z-score is significantly high, the cumulative probability extremely close to 1 (since the distribution is asymptotic).

consider the cumulative probability as 1.

To find the percentage multiply the cumulative probability by 100:

Percentage = 1 × 100 = 100%

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The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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