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The coordinates of parallelogram UVWZ are U(a, 0), W(c-a, b), and Z(c,0). Find the coordinates of V without using any new variables

A• (0, b)
B• (c, b)
C• (a, b)
D• (b, 0)

Answer:

2. 674

Step-by-step explanation:

6+67+674=747

Answer:

1. 29

2. 674

Step-by-step explanation:

for the second one 6+67+674=747

Using the slope of graph, we can find the value of F(5) to be = 12.

The slope of a line is determined by taking the tangent of the angle it forms with the x-axis. The slope of a straight line remains constant over time.

Y = mx + b can be used to calculate a straight line's slope-intercept form. The slope is denoted by the letter m and can be calculated as follows:

m = tanθ  = (y2 - y1)/ (x2 - x1)

y = f(x)

y = (x-2) ² + 3

Now when x = 5,

y = (5-2) ² + 3

= 3² + 3

= 9 + 3

= 12

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A 90​% confidence interval about μ if the sample​ size, n, is 25 is (111.6, 118.4), a 90​% confidence interval about μ if the sample​ size, n, is 20 is (111.1, 118.9), a 80​% confidence interval about μ if the sample​ size, n, is 25 is (112.4, 117.6) and we need population to be normal. So we can not make intervals.

In the given question,

Sample​ mean, x​, is found to be 115.

Sample standard​ deviation, s, is found to be 10.

(a) We have to construct a 90​% confidence interval about μ if the sample​ size, n, is 25.

We need to build a 90% confidence interval. So p=0.90.

t-score for confidence interval is given by the excel code is

t=1.7109

Using these values, the margin of error is

ME = 1.7109× 10/√25

ME = 3.4

So confidence interval is

CI = (115-3.4, 115+3.4)

CI = (111.6, 118.4)

(b) We have to construct a 90​% confidence interval about μ if the sample​ size, n, is 20.

We need to build a 90% confidence interval. So p=0.90.

t-score for confidence interval is given by the excel code is

t=1.7291

Using these values, the margin of error is

ME = 1.7291× 10/√20

ME = 3.9

So confidence interval is

CI = (115-3.9, 115+3.9)

CI = (111.1, 118.9)

(c) We have to construct a 80​% confidence interval about μ if the sample​ size, n, is 25.

We need to build a 80% confidence interval. So p=0.80.

t-score for confidence interval is given by the excel code is

t=1.3178

Using these values, the margin of error is

ME = 1.3178× 10/√25

ME = 2.6

So confidence interval is

CI = (115-2.6, 115+2.6)

CI = (112.4, 117.6)

​(d) Now we have to check, could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed.

To use t-distribution, the population has to be normal.Otherwise we need a sample size of at least 30. Here sample size is less than 30.

So we need population to be normal. So we can not make intervals.

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The right question is:

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x​, is found to be 115​, and the sample standard​ deviation, s, is found to be 10.

(a) Construct a 90​% confidence interval about μ if the sample​ size, n, is 25.

​(b) Construct an 90​% confidence interval about μ if the sample​ size, n, is 20.

​(c) Construct an 80​% confidence interval about μ if the sample​ size, n, is 25.

​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed.

Answer: -7 and -6

Step-by-step explanation:

Answer: Less

Step-by-step explanation:

If you break down each fraction into a decimal form you will get,

4/12 = 0.33

4/6 = 0.66

Making 4/12 less than 4/6.

Answer:

4/12 is less than 4/6

Step-by-step explanation:

\( \frac{4}{12} \: < \frac{4}{6} \: \: \: \: \: \: \: \: \: \: \: \: \)

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

8 < x < 12

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of sides < x < sum of sides , that is

10 - 2 < x < 10 + 2

8 < x < 12

Answer:

y - 11/8

Explanation:

The first step in simplifying the expression is to expand it.

A bit of rearranging gives

Now,

and

therefore,

Hence, our answer is

which can be written as

Answer:

last one is the constant function

After answering the given query, we can state that 158 kids and 307 equation adults thus went swimming at the public pool that day.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular program are identical. as in 2x - 4 = 2, for example.

To fix this issue, let's use a system of two equations with two variables.

Let x represent the number of kids who went swimming that day and y represent the number of parents.

The issue statement informs us that:

x + y = 465 (Equation 1) (The total number of people who swam is 465)

1.25x + 2.50y = 965.00 (Equation 2) (The entire revenue from admissions was $965.00)

1.25x + 1.25y = 581.25 (Multiply Equation 1 by 1.25)

-1.25x - 2.50y = -965.00 (Equation 2)

-1.25y = -383.75

y = 307 (Divide both sides by -1.25)

Equation 1 with x = 307 substituted:

x + 307 = 465

x = 158

158 kids and 307 adults thus went swimming at the public pool that day.

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Answer:

the right side of the image is truncated,

but "A" seems to be the answer....

take (2,3) and (3,4)

#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1

#2 ) y = 1x + b

#3 plug in (2,3) ... 3 = 1(2) + b ... B=1

#4 Y= 1 x + 1

Step-by-step explanation:

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

Explanation: A spherical triangle is a triangle formed on the surface of a sphere by three great circle arcs intersecting pairwise to form three vertices. Any three points that do not lie on a great circle of the sphere will not determine a spherical triangle. Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere. Any set of three non-collinear points that do not lie on a great circle of the sphere does not determine a spherical triangle.

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

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a + 12a = 330

Add like terms

13a = 330

a = 25.38

25.38 * 12 = 304.56

Round up -> 305

305 children attend

The 6th term of the geometric sequence is -1/2.

Here we have to find the a6the term of the geometric sequence.

Data given:

The series = 512/243, -128/81, 32/27.....

The formula to find the nth term of the geometric sequence:

\(a_{n}\) = a\(r^{n-1}\)

where \(a_{n}\) = nth term of the sequence

a = first term of the sequence

r = common ratio

common ratio(r) = -128/ 81 ÷ 512/ 243

                       = -128/81 × 243/512

                       = -3/4

Now we have to find the 6th term of the series.

\(a_{6}\) = 512/ 243 (-3/4\()^{6-1}\)

   = 512/243 (-3/4\()^{5}\)

  = 512/243 × 243/1024

  = -512/1024

  = -1/2

Therefore the 6th term is -1/2.

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The astronomer must rotate her telescope 86.829° to see star BBB. Rounding to the nearest degree, the astronomer must rotate her telescope 87°.

We can use the law of cosines to solve this problem. The law of cosines states that for a triangle with sides A, B, and C, A2 = B2 + C2 - 2BCcos(θ), where θ is the angle opposite side C.

In our case, A = 450450450, B = 400400400, and C = 909090. We know that angle θ is the angle we need to find, so we can rearrange the equation to solve for θ.

θ = cos-1(A2 - B2 - C2)/(-2BC)

θ = cos-1((450450450)2 - (400400400)2 - (909090)2)/(-2(400400400)(909090))

θ = cos-1(-9.65 × 10-12)/(-2.8 × 1012)

θ = cos-1(-3.4 × 10-13)

θ = 86.829°

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Answer:

cuz they are chairs

Step-by-step explanation:

Answer:

Chairs have legs so we would not fall.

Step-by-step explanation:

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.

As given in the question,

Given equation is :

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x

Simplify the original equation to get the equivalent equation

Least common multiple is 2 and 2x is equal to 2x

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is Equivalent to the proportion is given by:

( x + 1) / 2x = (x² -7x +10)/4x

Therefore, original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.

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Answer:

$16152.5 0

Step-by-step explanation:

Answer:

B: 1 and 3

Step-by-step explanation:

corect me if im wrong hope it helps aki brainliest thx:)

The solution to the logarithmic equation is; x = 81/4

We want to solve the logarithmic equation;

log₃x + log₃4 - 2log3 = 2

From property of logarithms, we know that;

logₐ4 = log 4/log a

Similarly we know that;

log a + log b = log (ab)

log a - log b = log (a/b)

Thus;

log₃x + log₃4 - 2log₃3 = 2 is;

(log₃4x) - 2log₃3 = 2

(log₃4x) - log₃3² = 2

log₃(4x/3² ) = 2

3² = 4x/9

4x = 9 * 9

4x = 81

x = 81/4

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Answer:

80%

Step-by-step explanation:

4000 / 5000 * 100 = 80%

Answer:

0.8%

Step-by-step explanation:

%= \(\frac{4000}{5000}\) = 0.8 = .8%

Answer: 56.82

Step-by-step explanation:

9.47x6=56.82

Answer: 56.82

Step-by-step explanation:

9.47*6 = 56.82

Answer:

42 students

Step-by-step explanation:

5 out of 7 students are car riders. This means 2 out of 7 students are bus riders. 12 students are bus riders.

12 = 2x/7, where x is the total number of students.

So, 84 = 2x

This means that x = 42. 2/7 of 42 is 12 so this is correct.

The radius of convergence is 1. Let's apply the ratio test to determine the radius of convergence of the given power series:

r = lim |(a_{n+1}/a_n)|

n->inf

where a_n is the nth term of the series.

In this case, we have:

a_n = (2n-1)!x^(n-1)/(n-1)!(2!)^(n-1)

So, applying the ratio test, we get:

r = lim |(a_{n+1}/a_n)|

n->inf

= lim |[(2n+1)!x^n/n!(2!)^n)/(2n-1)!x^(n-1)/(n-1)!(2!)^(n-1)]|

= lim |[(2n+1)x/(n+1)(2!)]|

= lim |(2n+1)/(n+1)|*|x/2|

= 2|x/2|

We know that the series converges if r < 1 and diverges if r > 1. Therefore, the series converges when:

2|x/2| < 1

|x| < 1

So the radius of convergence is 1.

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