et h be the set of all points of the form (s, s-1). determine whether h is a vector space. if it is not a vector space, determine which of the following properties it fails to satisfy. a: contains zero vector b: closed under vector addition c: closed under multiplication by scalars

Answers

Answer 1

No, h is not a vector space. It fails to satisfy property (b), closed under vector addition.

For a set to be a vector space, it must satisfy three properties: contains the zero vector, closed under vector addition and closed under multiplication by scalars.

For a set to be closed under vector addition, the sum of any two vectors in the set must also be in the set. In this case, the set h contains the points (s, s-1).

When two points are added, the result is (2s, 2s-2), which is not in the set h. Therefore, h fails to satisfy property (b) and is not a vector space.

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Related Questions

A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph

Answers

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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A $85 dinner with a 20% tip

Answers

Answer: $102

Step-by-step explanation:

Because 20% = 0.20

0.20 times 85 = 17

85 + 17 = 102

So the total is $102

Find the probability of at least one 3 in 10 rolls of a fair die.

Answers

Answer:

10/60

Step-by-step explanation:

brainliest pls

The probability of at least one 3 in 10 rolls of a fair die will be 0.155.

What is binomial distribution?

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X = x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

The probability of success is given as,

p = 1/6

Then the probability of at least one 3 in 10 rolls of a fair die will be given as,

P(x = 3) = ¹⁰C₃ × (1/6)³ × (1 - 1/6)¹⁰⁻³

P(x = 3) = 120 × (1 / 216) × (78,125 / 279,936)

P(x = 3) = 9,375,000 / 60,466,176

P(x = 3) = 0.155

The probability of at least one 3 in 10 rolls of a fair die will be 0.155.

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You will participate in a lottery for 12 consecutive days. Each time you play, it costs $1 to participate, with an probability of winning of 0.08, and a prize of $10. Given that you win exactly twice, what is the probability that you win on two consecutive days

Answers

Answer:

0.167

Step-by-step explanation:

the question says we won exactly twice, so the probability of winning on two consecutive days can be calculated as:

total number of 2 consecutive days(11) /total ways of picking 2 days out of 12 days (12C2)

12C2 = 66

11/66

= 1/6

= 0.167

so the probability of winning on two executive days is equal to 0.167

22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents. ​

Answers

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

A to D is an example of _____________?

A. reflection across the line y = 1

B. reflection across the line y = x

C. y-axis symmetry

D. x-axis symmetry

A to D is an example of _____________?A. reflection across the line y = 1B. reflection across the line

Answers

Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

In the figure, ∠6 is an exterior angle to (square) AUL.

A: Explain why m∠6 is equal to the sum of the measures of the two nonadjacent interior angles.
B: What is m∠6?
Answer:

In the figure, 6 is an exterior angle to (square) AUL. A: Explain why m6 is equal to the sum of the measures

Answers

Answer:

Part A∠6 + ∠3 = ∠PAL - angle addition∠PAL = 180° - straight angle∠6 + ∠3 = 180° - substitution∠6 = 180° - ∠3           (1)

ΔAUL has

∠1 + ∠2 + ∠3 = 180° - property of triangles∠1 + ∠2 = 180° - ∠3     (2)

(1) and (2) have RHS same, therefore LHS also same:

∠6 = ∠1 + ∠2Part B∠6 = ∠1 + ∠2 - given

Substitute measures

∠6 = 52° + 33° ∠6 = 85°

It has long been reported that human body temperature follows a normal distribution with a mean of 98.6 degrees Fahrenheit. There is some debate in the medical field, however, about this long-held standard of human body temperature. Specifically, some medical researchers believe that the average human body temperature is actually greater than 98.6 degrees Fahrenheit. To test their theory, these researchers measured the body temperature of a random sample of 180 healthy individuals. The researchers then recorded the mean and standard deviation for the sample of 180 individuals. After the researchers collected their data, they entered the data into a statistical software package and ran the appropriate statistical test which resulted in a test statistic of 3.64 with a p-value of .018. The researchers would conclude that:

Answers

Solution :

The normal body temperature of any human body is considered to be 98.6\($^\circ \ F$\). But there is a constant debate about the body temperature of a long held standard to the body temperature.

It is given that :

Null hypothesis and alternate hypothesis :

\($H_0 : \mu = 98.6$\)

And \($H_A : \mu > 98.6$\)

n is given as = 180

Test statistics = 3.64

Prove = 0.018 < α = 0.05 (let reject null hypothesis for α = 0.05 )

Therefore, their results are statistically significant and the result is unlikely due to chance alone.

4. What is the value of the underlined digit?
4,506,204,395.9812
The underlined digit being 8

Answers

Answer:

hundreth, because it is the second digit after the decimal point.

If rick buys a remote control car of $34.00 what is the selling price

Answers

Answer:

Step-by-step explanation:

Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00

Answer:

$34.00

Step-by-step explanation:

if he get it for $34.00 so the selling price is $34.00

Milan is on the swim team. Each day he swims 850m. How far does he swim in 5 days?

Answers

850x5=4250m, he swims 4250m in 5 days

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

48. Which is the graph of the solution set of|2x - 1| < 9 ?A. H-5 -4 -3 -2 -1 0 1 2 3 45B.-5 -4 -3 -2 -1 0 1 2 3 4 5C. +-5 -4 -3 -2 -1 01 2 3 4 5D.HH-5 -4 -3 -2 -1 0 1 2 3 4 572-- لا

48. Which is the graph of the solution set of|2x - 1| &lt; 9 ?A. H-5 -4 -3 -2 -1 0 1 2 3 45B.-5 -4 -3

Answers

We have to find the representation of the solution set of the inequality:

\(|2x-1|<9\)

We can divide this inequality into two, as the absolute value function is like a piecewise function.

We can calculate it in the case that 2x-1 is negative. Then, we can solve it as:

\(\begin{gathered} -(2x-1)<9 \\ -2x+1<9 \\ -2x<9-1 \\ -2x<8 \\ x>\frac{8}{-2} \\ x>-4 \end{gathered}\)

When 2x-1 is positive, we can solve it as:

\(\begin{gathered} 2x-1<9 \\ 2x<9+1 \\ 2x<10 \\ x<\frac{10}{2} \\ x<5 \end{gathered}\)

Then, if we combine the two results, the solution set is -4 < x <5 and it represented as Option C.

Answer: Option C.

Solve the following: Simplify

1) [(2^2)^3 x 3^6] x 5^6

2) 8^2 ÷ 2^3

3) 12^4 x 9^3 x4 / 6^3 x 8^2 x 27

4) 2^3 x a^3 x 5a^4

5) (3^0+2^0) x 5^0​

Answers

Answer:

1. 729,000,000

2. 8

3. 483,729,408

4.

5.2

Find the slope of the line (-4,4) (-3,-2)

Answers

If i help you can you help me

Find angle 1. Explain steps if possible.

Find angle 1. Explain steps if possible.

Answers

Answer:

m=105

Step-by-step explanation:

Find angle 1. Explain steps if possible.

Write the equation of a line in the point-slope form given a slope of 2 and ordered pair (-4, 1).

Question options:

y-2=(x+4)


y-1=2(x-4)


y+1=2(x-4)


y-1=2(x+4)

Answers

Answer:

y-1 = 2(x+4)

Step-by-step explanation:

when switching to point-slope form, change the sign of the x-and-y values

how do I simplify 8xy3 over 2x2y

Answers

The given expression is

8xy^3/2x^2y

To simplify the expression, we would apply the law of exponents which is expressed as

a^b/a^c = a^(b - c)

Thus, we have

8/4 * x^(1 - 2) * y^(3 - 1)

= 2 * x^-1 * y^2

= 2x^-1y^2

If we reverse it, it becomes

2y^2/x

Solve for x in the diagram below

Solve for x in the diagram below

Answers

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

In-State tuition at UNCW is currently
$6,691. NC is raising tuition 1% each year for the next 4 years. What will be the new tuition 4 years from now?

Answers

The new tuition 4 years from now is $6962.68.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, principal =$6691, rate of interest=1% and time period=4 years.

Now, A=6691(1+1/100)⁴

=6691(1+0.01)⁴

=6691(1.01)⁴

= 6691×1.04060401

= $6962.68

Therefore, the new tuition 4 years from now is $6962.68.

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Vertex (1,-2) point (-1,14)

Answers

Answer:

y=(x+3)2−2(x+3)2−2

As verification here is

y=(x+3)2−2

The equation of parabola with vertex (1,-2) and passing through the point P(-1,14) is given by y = 4(x - 1)² - 2

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of the parabola be A

Now , the vertex is at V ( 1 , -2 )

And , the equation passes through the point P ( -1 , 14 )

Now , standard form of a parabola is:

y = a(x - h)² + k

where (h, k) is the vertex and "a" is a constant that determines the shape of the parabola

y = a(x - 1)² - 2

Now, we need to find the value of "a". We are also given one point on the parabola, which is (-1, 14).

14 = a(-1 - 1)² - 2

14 = a(2)² - 2

14 = 4a - 2

16 = 4a

a = 4

Now we can substitute "a" into the equation:

y = 4(x - 1)² - 2

Hence, the equation of the parabola with vertex (1, -2) and passing through the point (-1, 14) is y = 4(x - 1)² - 2

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The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4

Answers

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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86n + 13 ≤ 99 or n + 90 ≥ 97

Does anybody know the answer?

Answers

Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

A random sample of 663 teens who said they did not typically eat fast food reported an average daily calorie intake of 2258, with standard deviation 1519. A random sample of 413 teens who said they did typically eat fast food reported an average daily calorie intake of 2637, with standard deviation 1138. The two populations are moderately positively skewed. Based on the above description, which of the following conditions are met for conducting a hypothesis test for the equality of two means?

a. Both samples are random
b. Samples are independent of one another
c. Both samples are normal enough given the sample size
d. Two population means need to be the same

Answers

Answer:

Option B

Step-by-step explanation:

The sample populations are independent of each other and hence for comparing of mean of two population it is very essential that the two populations independent of each other.

Now here one population set consist of only people who eat fast food and the other set of population consists of people who do not eat fast food.

The social media account for one store has approximately 10,000 followers. The marketing team consists of 20 of those followers. The team uses the equation y = 10,000/1 + 499 e^0.0455x to predict how many followers have seen the post depending on the number of minutes since it was posted. Approximately how long can the team expect it to take to reach 3,850 followers?

Answers

Answer:

125 minutes

Step-by-step explanation:

got it right on edge

Answer:

B. 125 minutes

Step-by-step explanation:

edge 2020

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place




Please see the picture

Help

Test

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest

Answers

Answer:

175.1

Step-by-step explanation:

Find the area of the semicircle:

(pi • radius²) / 2. [Radius is half of diameter]

(3.14 • 4²) / 2

(3.14 • 16) / 2

(50.24) / 2

25.12

Find the area of the parallelogram:

(base • height)

(30 • 5)

150

Add the areas of both shapes to get total area

25.12 + 150 = 175.12, round to the nearest tenths, 175.1

Hope this helps!

Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.

Answers

Answer:

The answer is 42 times.

Step-by-step explanation:

The probability of taking out the red bead from the bag every time is

P = 7 ÷ (7 + 8) = 7/15

So, The number of times she expects to take a red bead is 'n'

Therefore,

n = 90 × 7/15

n = 6 × 7 = 42

Thus, The number of times she expects to take a red bead is 42.

HELP ME PLEASE!!!!!!
ZEARN!!!!

HELP ME PLEASE!!!!!!ZEARN!!!!

Answers

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

How to rewrite the expression using fifteenths

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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i need some help here

i need some help here

Answers

The value of x, considering the Pythagorean Theorem, is given as follows:

x = 9.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.

The sides for the problem are given as follows:

15 and 8 (segment of 8 is the radius, which is the distance from the center to a point on the circumference of the circle).

Hence the hypotenuse is obtained as follows:

h² = 15² + 8²

h² = 289

h = 17.

Hence the value of x is obtained as follows:

x = 17 - 8

x = 9.

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given the equation 4x + 3y = 18. find the value of y when x = −3

Answers

9514 1404 393

Answer:

  y = 10

Step-by-step explanation:

Put -3 where x is and solve for y.

  4(-3) +3y = 18

  -4 +y = 6 . . . . . . . divide by 3

  y = 10 . . . . . . . . . add 4

given the equation 4x + 3y = 18. find the value of y when x = 3


The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?

Answers

Here’s the answer of your question
The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?

The required value of v is -2 for a given line with a slope of 8.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

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