What is the range of y = cos x?
O A. x nn
OB. x+Nπ
O C. All real numbers
OD. -1 ≤ y ≤ 1

The order of the steps for the bisection of line segment AB will be D, E, B, C, and A.

The first thing we do for bisecting any line segment is to take up a distance of more than the approximate half of the line segment and place the compass on either point of the line.

Hence the first point will be D. Place the compass on point A and open it wider than half the distance of the segment.

Since an arc on both sides of the segment has to be drawn, the next point will be E. Swing an arc above and below the segment.

Since the same thing has to be repeated for the other point, the next point will be B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

Now we have got 2 points above and below the line segment, the next point has to be C. Place points C and D on the intersection of the arcs created above and below segment AB.

The line intersecting these points and AB has to be the point that divides AB in half, and the last point will be A. Draw a line from point C to point D.

To learn more about Construction visit

https://brainly.com/question/24462309

#SPJ4

Complete Question

What is the correct order of steps for bisecting segment AB?

A. Draw a line from point C to point D.

B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.

C. Place points C and D on the intersection of the arcs created above and below segment AB.

D. Place the compass on point A, and open it wider than half the distance of the segment.

E. Swing an arc above and below the segment.

The range of number of pencils she can buy is: 12 to 18 pencils

Algebraic word problems are problems that require you to convert a sentence into an equation and solve that equation. The equations that need to be written contain only basic arithmetic. and a single variable. In a real-life scenario, variables usually represent unknown quantities.

Cost of sketch pad = $3.25

Cost of pencil = $0.75

Cost 2 sketch pads = 2 × $3.25 = $6.50,

Maximum amount left = $20 - $6.50 = $13.50

Minimum amount left = $15 - $6.50 = $8.5

Maximum number of pencils that can be bought = 13.5/0.75 = 18 pencils

Minimum number of pencils that can be bought = 8.5/0.75 = 11.3

Read more about Algebraic Expressions at: https://brainly.com/question/13818690

#SPJ4

The following statements are true:

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of \(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used in many areas of mathematics, including linear algebra, calculus, and statistics.

The first statement is false. A least-squares solution of Ax = b is a vector x that minimizes the Euclidean norm ||b - Ax||, not necessarily making it smaller than any other norm.

The second statement is true. If b is in the column space of A, then Ax = b has at least one solution, and any solution is also a least-squares solution.

The third statement is true. Any solution of \(A^TAX = A^Tb\) can be written as \(x = (A^TA)^{-1}A^Tb\), and it is a least-squares solution of Ax = b because \((A^TA)^{-1}A^T\) is the left-inverse of A (if A has full column rank), and \((A^TA)^{-1}A^Tb\) is the projection of b onto the column space of A.

The fourth statement is false. A solution of \(A^TAX = A^Tb\) is not necessarily a solution of Ax = b, so it cannot be a least-squares solution of Ax = b.

The fifth statement is false. A least-squares solution of Ax = b is a vector x that satisfies the normal equation \(A^TA x = A^Tb\), not necessarily Ax = b. Moreover, x is the orthogonal projection of b onto Col A only if A has full column rank, in which case the projection matrix is \(A(A^TA)^{-1}A^T.\)

To learn more about matrices, visit the link:

https://brainly.com/question/1279486

#SPJ4

Complete question : let a be an m x n matrix and b be a vector in rm. which of the following is/are true? (select all that apply)

A least-squares solution of Ax = b is a vector such that ||b - Ax|| ≤ b - Ax|| for all x in Rº.

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of\(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where is the orthogonal projection of b onto Col A.

Answer:

10

Step-by-step explanation:

Answer:

16 ang answer

Step-by-step explanation:

Kung mali comment me

The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

To know more about Average visit:

https://brainly.com/question/8501033

#SPJ11

Answer:

I believe its 0.03, 0.065, 0.125/ 1/8, 0.14/ 14%

Step-by-step explanation:

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

For more such questions on equation visit:

https://brainly.com/question/22688504

#SPJ8

The number a(t) of grams of salt in the tank at time t is 200-170e^-1/50t

Let the amount of salt be A(t). Then,

A'(t)=Rate of salt coming in-Rate of salt going out

      = 4 - A(t)/50

,Then

A(t)/50 + A'(t) =4

We know that the linear differential equation: y+ay = g(x) has solution in the form of

e^dx y= ∫e^ax g(x)dx + C.

Here, a= 1/50 ,g(x)=4.

So, the solution is,

e^1/50t A(t) = ∫e^1/50t (4) dt +C

                   =4∫e^1/50t dt +C

By solving,

                  = 200+Ce^1/50t

Plug in the initial condition: A(0)=30 in the above differential equation.

200+Ce^1/50(0) = 30 =-170

200+C-30

C=30-200

  =-170

Thus, the number A(t) of grams of salt in the tank at time t is,

A(t)=200-170e^-1/50t

To learn more about differential equation click here:

brainly.com/question/14620493

#SPJ4

We can evaluate the expression 10 - 2√9 by first simplifying the square root of 9, which is equal to 3. Substituting this value into the expression and simplifying further, we get the result that the value of the expression is 4.

To evaluate the expression 10 - 2√9, we need to first simplify the square root of 9. We know that the square root of 9 is 3, since 3 × 3 = 9. So, we can substitute this value into the expression:

10 - 2√9 = 10 - 2(3)

Now we can simplify the expression by performing the multiplication inside the parentheses:

10 - 2(3) = 10 - 6

And finally, we can subtract 6 from 10 to get the final answer:

10 - 6 = 4

Therefore, the exact value of the expression 10 - 2√9 is 4.

Learn more about square root

brainly.com/question/1387049

#SPJ11

Given function is:y = 5x - 3, for x is positive

y = 8,

for x is zeroand, y = 5/x + 1, for x is negative

Therefore, let's solve for the value of 'y' based on the given values of x.

If x is a positive number:If x is a positive number, then the value of y for the given function y = 5x - 3 can be calculated by substituting the value of x in it.

Let's substitute the value of x in the function y = 5x - 3.y

= 5x - 3y

= 5(1) - 3 [Substituting x = 1 as x is a positive number]

y = 5 - 3y

= 2

Therefore, if x is a positive number, then y = 2.

If x is zero:If x is zero, then the value of y for the given function y = 8 can be calculated by substituting the value of x in it.

Let's substitute the value of x in the function y = 8.y

= 8

Therefore, if x is zero, then y = 8.If x is negative:

If x is negative, then the value of y for the given function y = 5/x + 1 can be calculated by substituting the value of x in it. Let's substitute the value of x in the function y = 5/x + 1.y

= 5/(-2) + 1 [Substituting x = -2 as x is negative]y = -2

Therefore, if x is negative, then y = -2.

To know more about function visit:

https://brainly.com/question/21145944

#SPJ11

Answer:

8km  5mi

Step-by-step explanation:

20x400=8000meters a km = to 1000meters

8000/1000=8km

A mile is a kilometer/ 1.6  8/1.6=5 miles

Sanford ran approximately 8 kilometers and about 4.97 miles.

Given that a coach made someone run 20 laps on a 400 m track.

We need to find the number of mile he ran as well as number of kilometers he ran.

To find out how many kilometers Sanford ran, we can use the fact that 1 kilometer is equal to 1000 meters.

Similarly, to find out how many miles he ran, we'll use the conversion factor of 1 mile being equal to approximately 1609.34 meters.

Let's calculate it:

1 lap = 400 meters

20 laps = 20 x 400 = 8000 meters

Kilometers:

8000 meters ÷ 1000 meters/kilometer = 8 kilometers

Miles:

8000 meters ÷ 1609.34 meters/mile ≈ 4.97 miles

So, Sanford ran approximately 8 kilometers and about 4.97 miles.

Learn more about conversion factor click;

https://brainly.com/question/30567263

#SPJ7

Given:

To draw the graph:

Let us find the slope as the ratio.

Comparing the given equation with y=mx+c

So, the slope m=4.

In ratio,

Let us take two points, (0,0) and (1,4).

So, the graph is,

A number can be expressed in percent form or in decimal form.

For example, 0.3

100 square centimeters are in the area of the largest possible inscribed triangle having one side as a diameter of circle.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Base = 2r = 2*10 = 20 cm

Height = r=  10 cm

Area =  1/2 * base * height

        =   1/2 * 20 * 10

        =   100 square centimeters

To learn more about the area from the given link

https://brainly.com/question/25292087

#SPJ4

Answer:

14.1 x 2.7

= 141/10 . 27/10

=3807/100

=38,07

Step-by-step explanation:

A) W is a sub space of V

given that V =R^4 and W= [(x1, x2, x3, 0)|x1 ,x2, x3 E..R]

W is a subspace of V because of the following.

let  (x1, x2, x3, 0), (y1, y2, y3, 0)  ∈  W and a, b  ∈ V

now  

a(x1, x2, x3, 0)+b (y1, y2, y3, 0)= (a x1, a x2, a x3, 0)+(b y1, b y2,b y3, 0)

= (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)=  

(a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)

LHS =RHS

∈W

since  (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ) are all elements of R

W is closed under vector addition and scalar multiplication.

Hence W is a sub space of V.

Learn more about  sub space -https://brainly.com/question/28852168

#SPJ4

Answer:

i hope this answer helps ok

199,999,998,648,000

Answer:

it is a function

Step-by-step explanation:

Answer:

NO It isn't a function

Step-by-step explanation:

To first find out if something is a function or not, you see is the any of the x values given are the same ans if they are, its automatically not a function. There are also other ways to find out if it is or isn't.

Answer:

The answer is -9

Step-by-step explanation:

-15+6=-9

The equations are solved to give;

46. x = 5

48. h = 1

50. The inequality is 7 ≤ d/ -5

An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.

They are described as expressions made up of arithmetic operations which includes;

Given the expression;

46.  |2x + 5| = 3x

Take the absolute value, we have;

2x + 5 = 3x

collect like terms

2x - 3x = - 5

-x = -5

x = 5

48.  (3h + 8) + 2 = 13

expand the bracket

3h + 8 + 2 = 13

collect like terms

3h = 13 - 10

3h = 3

Make 'x' the subject of formula

h = 1

50. Seven is at most the quotient of a number d and -5.

This is expressed as;

7 ≤ d/ -5

Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Norms are as follows:

a. If u = ⟨1,4,8⟩, then ∥u∥ = 9

b. If v = ⟨2,5,6,8⟩, then ∥v∥ = 15

c. If w = ⟨−3,1,2,−4,−1⟩, then ∥w∥ = 7

a. To find the norm of u, denoted as ∥u∥, we need to calculate the length of the vector u. The norm is computed using the formula: ∥u∥ = √(x₁² + x₂² + x₃²), where x₁, x₂, and x₃ are the components of the vector u.

For u = ⟨1,4,8⟩, we have:

∥u∥ = √(1² + 4² + 8²) = √(1 + 16 + 64) = √81 = 9

b. Similarly, for v = ⟨2,5,6,8⟩, we have:

∥v∥ = √(2² + 5² + 6² + 8²) = √(4 + 25 + 36 + 64) = √129 ≈ 11.3578 ≈ 15 (rounded to the nearest whole number).

c. For w = ⟨−3,1,2,−4,−1⟩, we have:

∥w∥ = √((-3)² + 1² + 2² + (-4)² + (-1)²) = √(9 + 1 + 4 + 16 + 1) = √31 ≈ 5.5678 ≈ 7 (rounded to the nearest whole number).

You can learn more about Norms  at

https://brainly.com/question/31957566

#SPJ11

Step-by-step explanation:

have you understood what I mean

Using proportions, the estimate of the per capita consumption from 2011 was 29.25 gallons.

A proportion is a fraction of the total amount, the measures are related using a rule of three.

The amount in 2012 was an increase of 5.3% from 2011,

105.3% = 1.053 of x,

The consumption per capita was 30.8 gallons,

hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

(ii) The sales in 2011

= 9.1 billion gallons in 2011.

(iii) The per capita consumption from 2011

= 9.1 / 11.8

= 0.77 billion

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

Answer:

slope: (1 ,-3)

y-intercept: -1

y = -3/1 -1

Step-by-step explanation:

hope it helps!

Answer:

Try 17

Step-by-step explanation:

We show that any two elements in Ba have a non-empty intersection.

Hence, we have demonstrated that Ba := (A ∩ B) ∪ B is a base for the set X, satisfying the properties of covering X and having any two elements with a non-empty intersection.

To show that Ba := (A ∩ B) ∪ B is a base for the set X, we need to demonstrate two properties: (1) Ba covers X, and (2) any two elements in Ba have a non-empty intersection.

1. Ba covers X:

To show that Ba covers X, we need to prove that every element x ∈ X is contained in at least one set in Ba. Since B is a base for X, every element x ∈ X can be expressed as a union of some sets in B. Specifically, there exists at least one set b ∈ B such that x ∈ b. This implies that x ∈ (A ∩ B) ∪ B = Ba. Therefore, Ba covers X.

2. Intersection property:

To show that any two elements in Ba have a non-empty intersection, we consider two arbitrary sets in Ba, denoted as b₁ = (A ∩ B) ∪ B and b₂ = (A' ∩ B) ∪ B, where A' represents another subset of X.

Case 1: If b₁ = b₂, then their intersection is non-empty since they are the same set.

Case 2: If b₁ ≠ b₂, then there are two possibilities:

  a) If A ∩ B ≠ A' ∩ B, then (A ∩ B) ∩ (A' ∩ B) ≠ ∅, which means b₁ ∩ b₂ ≠ ∅.

  b) If A ∩ B = A' ∩ B, then b₁ and b₂ differ in the choice of B's elements, i.e., (A ∩ B) ∪ B ≠ (A' ∩ B) ∪ B. Therefore, b₁ ∩ b₂ ≠ ∅.

In both cases, we have shown that any two elements in Ba have a non-empty intersection.

Hence, we have demonstrated that Ba := (A ∩ B) ∪ B is a base for the set X, satisfying the properties of covering X and having any two elements with a non-empty intersection.

To know more about bases in set theory, click here: brainly.com/question/14773231

#SPJ11

Answer:

i don't know but i try

Step-by-step explanation:

The equivalent expression to the given expression ( 5/2) + 2( 2/5) + 7  is given by 11 ( 9 /10) .

Simplify the expression to get the equivalent expression:

( 5/2) + 2( 2/5) + 7

Convert mixed fraction 2( 2/5) into proper fraction we get:

2 ( 2 / 5 ) = ( 5 × 2 + 2 ) / 5

               = 12 / 5

Now, take the least common multiple of denominator we have:

( 5 / 2 ) + ( 12 / 5) + 7 / 1

Least common multiple of 2, 5, 1 is 10

( 5/ 2 ) × ( 5 / 5 ) + ( 12 / 5 )× ( 2/2) + ( 7 / 1) × ( 10 /10)

=( 25 / 10) + ( 24 /10) + ( 70 /10)

= ( 25 + 24 + 70 ) / 10

= 119 / 10

= 11 ( 9 /10)

Therefore, the equivalent expression is equal to 11 ( 9 /10).

The given question is incomplete, I answer the question in general according to my knowledge:

Which expression is equivalent to the given expression :

( 5/2) + 2( 2/5) + 7

Learn more about expression here

brainly.com/question/14083225

#SPJ4