what is equal to21/28

D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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In interval notation, the domain of the function f(x) is (-∞, 5/4) U (5/4, +∞).

To find the domain of the function f(x) = (6 - x) / (4x - 5), we need to identify any values of x that would result in division by zero or any other undefined operations.

The function f(x) would be undefined if the denominator, 4x - 5, equals zero. So, we set 4x - 5 = 0 and solve for x:

4x - 5 = 0

4x = 5

x = 5/4

Therefore, the function f(x) is undefined when x = 5/4.

However, since division by zero is the only operation that would cause the function to be undefined, the domain of f(x) is all real numbers except x = 5/4.

In interval notation, the domain of the function f(x) is (-∞, 5/4) U (5/4, +∞).

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The number of strips Lya will cut is obtained using the equation n × (1/5) = 2, which is 10 stripes.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let "n" be the number of stripes that Lya will cut from the 2 yards of ribbon.

Let "x" be the length of each stripe in yards.

We know that Lya wants to cut the ribbon into 1/5 yard stripes, so -

x = 1/5

The total length of the ribbon is 2 yards, so the equation is -

n × x = 2

Substituting x = 1/5, we get -

n × (1/5) = 2

Multiplying both sides by 5, we get -

n = 10

Therefore, Lya will cut 10 stripes from the 2 yards of ribbon.

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Lya wants to cut 2 yards of ribbon into 1/5 yard stripes. She wants to know how many strips she will cut.

Answer: B

Step-by-step explanation:

First you have to do what’s in parentheses so you do 7-3, which is 4. Then you do 4 - 2 = 2. Hope this helped!

The work required to move q from the other vertex to the center of the line joining the fixed charges is (1/4π ε0) x 2 x q 2/a.

To solve this problem, we can use the principle of superposition to calculate the potential at the center of the equilateral triangle due to each of the two fixed charges, and then add them up to get the total potential.

Let's first find the potential due to one of the fixed charges at the center of the triangle. We can use the formula for the electric potential due to a point charge q at a distance r from it, which is given by:

V = k x q/r

In this case, the distance from one of the fixed charges to the center of the triangle is: r = a/2

So the potential due to one fixed charge at the center of the triangle is:

V1 = kq/r = kq/(a/2)

Next, let's find the potential due to the other fixed charge at the center of the triangle. Since the triangle is equilateral, the distance from the other fixed charge to the center of the triangle is also a/2. So the potential due to the other fixed charge at the center of the triangle is:

V2 = k x q/(a/2)

Now, the total potential at the center of the triangle due to the two fixed charges is simply the sum of the individual potentials:

V_total = V1 + V2 = kq/(a/2) + kq/(a/2) = 2kq/a

The work required to move a charge q from infinity to the center of the triangle is equal to the change in potential energy of the charge, which is given by:

W = q x (V_final - V_initial)

In this case, the initial potential is zero (since the charge is at infinity), and the final potential is 2kq/a (which we just calculated). So the work required is:

W = q x (2kq/a - 0) = 2kq 2/a

Substituting the given value of k, we get:

W = (1/4π ε0) x 2 x q2/a

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Answer:

Probability (Fraction, Decimal, Percentage)  = 1/8 , 0.125 , 12.5%

Step-by-step explanation:

Total cards = 8 ; numbered 'three, four, five, six, seven, eight, nine, ten'

Prob (Card with number three) = card with no. three / total cards = 1/8

Prob (Card with number four) = card with no. four / total cards = 1/8

Similarly , Prob (A Card with any other number) = 1/8

Fraction Probability = 1/8 ; Decimal Probability = 0.125

Percentage probability = 1/8 x 100 = 12.5%

Answer:

43/20 =  2 3/20

Answer:

2  3/20

Step-by-step explanation:

First you would write 2.15/1 ;  Next, multiply both the bottom and the top by 100 because of the decimal placement. This gives you 215/100. Find the GCF (which is 5) and divide. This leaves you with 43/20, and when simplified, gives you 2 as the whole number and 3/20.  

Given-

Number of exhibits = 4

Total number of exhibits = 16

Solution-

% of zoos exhibits that features bears :-

\( \frac{4}{16} \times 100\)

\( => 25\)

Therefore, The percentage of zoos exhibits that features bears= 25 %

✍️ By Benjemin ☺️

Answer:

Step-by-step explanation:

2x^2 - 12x + 13 = 0

2x^2 - 12x = -13

2(x^2 - 6x) = -13

2[(x - 3)^2 - 9] = -13

2(x - 3)^2 - 18 = -3

2(x - 3)^2 = 5

(x - 3)^2 = 2.5

x - 3 = ±√2.5

x = 3  ±√2.5

which is

1.42, 4.58 to the nearest hundredth.

Answer:

7 & 5

Step-by-step explanation:

7+5=12
7-5=2
5-7=-2

Answer:

5 and 7

Step-by-step explanation:

5 + 7 = 12

5 - 7 = -2

Answer:

9

Step-by-step explanation:

Let's suppose "my number" is x

If you add 21 to my number: 21 + x

Multiply the result by 3: 3(21+x)

You will get 84 more than two thirds of my number

\(3(21 + x) = 84 + \frac{2}{3} x \\ 63 + 3x = 84 + \frac{2}{3} x \\ \frac{7}{3} x = 21 \\ 7x = 63 \\ x = 9\)

Therefore my number is 9

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The best point estimate for the population's standard deviation is 1697.

The term "standard deviation" (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Sample standard deviation = 41.2.

So, the standard deviation

S² = (41. 2)²

S² = 1697.44

S² = 1697 ( by rounding off)

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Answer:

Here you go, hope my handwriting is clear :D

X can either equal -5 or 3/2

Answer:

3 times 10 Superscript 9 feet

Step-by-step explanation:

your welccome

The feet the jet would fly in the given time is 3 x \(10^{9}\).

Multiplication is the process of determining the product of two or more numbers by following a set of mathematical principle.

The feet travelled can be determined by multiplying the rate per hour by the total time.

1.3 x 10^3 x 2.8 x 10^6 = 3 x 10^9

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

Step-by-step explanation

GIVEN,

COST OF GREEN BRACELETS SOLD - 5$--G

COST OF RED BRACELETS SOLD - 3$--R

SO THE ANSWEAR IS 5G+3R

The solution to the equation is x = -2, -1.46, -1, x = 5.46

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

0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32

Express properly

So, we have

x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0

Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically

See attachment for graph

From the graph, we have

x = -2, -1.46, -1, x = 5.46

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Answer:

hope this helped!

Answer:

Hello! :) Have a good day!

It will be 30!

3x + 2y - 2x + y + 12 —> x + 3y + 12

4y + 3y + 3x - 6y - 10 -2 —> 3x + y - 12

12 - 3y - 2x + x + 2x —> x - 3y + 12

x + 3y + 2x - 3x + 7 + 5 —> 3y + 12

The GLB of the set {x : |x - 4| < 1}  is option (d) 3

The set {x : |x - 4| < 1} can be written as the open interval (3, 5), which contains all values of x that satisfy the inequality |x - 4| < 1.

The greatest lower bound (GLB), also known as the infimum, is a concept in mathematics that applies to sets of numbers or other mathematical objects that are partially ordered.

To find the GLB (greatest lower bound) of this interval, we need to look for the greatest value that is less than or equal to every element in the interval.

Since the interval contains all real numbers greater than 3 and less than 5, its GLB is 3. Therefore, the answer is option (d) 3.

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Answer: b = 1.5 or 3/2

Step-by-step explanation:

2 - b/3 = -5/2

Subtract 2 from both sides

-b/3 = -9/2

divide by -3

b = 1.5 or 3/2

Answer:

20.

Step-by-step explanation:

That would be 2 1/2 divided by 1/8

= 5/2 / 1/8

= 5/2 * 8

= 40/2

= 20.

Answer:

4800 ft²

Step-by-step explanation:

Given that :

Area of cabin = 800 ft²

Width of cabin = 20 feets

Side yard setback of building = 20 feets

Depth of lot = 80 feets

The cabin is a rectangle :

Area of rectangle = Length * Width

800 = length * 20

Length = 800 / 20 = 40 feets

Hence,

Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets

Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets

Area of lot = Length of lot * width of lot

Area of lot = 120 ft * 40 ft = 4800 ft²

Answer:

The answer is $13.95

Step-by-step explanation:

You take the price with tax and subtract the tax (by 0.??), and that'll give you your answer. In this case, you the starting price of $14.55 and subtact 0.6 (6%), which gives you $13.95.

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

The left Riemann sum underestimates the area under the curve, while the right Riemann sum overestimates it.

a. To sketch the graph of f(x) = -2x² + 5 on the interval [1, 6], plot the points on the coordinate plane by evaluating the function at various x-values within the interval.

b. To calculate Δx, divide the length of the interval by the number of subintervals (n). Determine the grid points x₁, x₂, ..., xₙ by adding Δx to the starting point (1) for each subinterval.

c. To illustrate the left and right Riemann sums, evaluate the function at the left endpoints (left Riemann sum) and right endpoints (right Riemann sum) of each subinterval. The left Riemann sum underestimates the area under the curve, while the right Riemann sum overestimates it.

d. To calculate the left and right Riemann sums, sum up the areas of the rectangles formed by the function values and the corresponding subintervals. The left Riemann sum is obtained by multiplying the function value at each left endpoint by Δx and summing them up. The right Riemann sum is obtained by multiplying the function value at each right endpoint by Δx and summing them up.

It's important to note that without specific values for n and the interval [1, 6], the numerical calculations and further analysis cannot be provided.

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Answer: \(78.55\ m^2\)

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

\(\Rightarrow \dfrac{1}{4}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{4}\\\\\Rightarrow \dfrac{\pi \times 10^2}{4}=78.55\ m^2\)