t/f a measurement scale in which respondents are asked to rank items based on their preferences is called a nominal scale.

Answer:

J. (2, -3)​

Step-by-step explanation:

1. Substitute y = x - 5 in for y in the other equation:

5x + 2(x - 5) = 4

2. Simplify:

5x + 2x - 10 = 4 (distributed the 2)

7x - 10 = 4

3. Isolate for x:

7x - 10+10 = 4+10

7x = 14

7x/7 = 14/7

x = 2

4. Plug the new x value into an equation and solve for y:

y = 2 - 5

y = -3

hope this helps!

Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

The number of students who got, Sandwiches , Spaghetti, Potatoes and pancakes are 6, 12, 8 and 22 respectively.

The Fraction of the students who got a certain type of food multiplied by the total number of students :

Number of students who got sandwiches :

1/8 × 48 = 6 students

Number of students who got spaghetti :

1/4 × 48 = 12 students

Number of students who got potato :

1/6 × 48 = 8 students

Number of students who got Pancake :

(1 - (1/8 + 1/4 + 1/6)) × 48

0.4583333 × 48 = 22 students

Therefore, 22 students got Pancakes

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Answer:

subtracting a negititive is the same as adding so -66.1+55.6

Hope This Helps!!!

Call the number : x

(1/3)x + 5 = x-6

=> (1/3)x + 5 - (x-6) = 0
=> (1/3)x + 5 - x + 6 = 0
Group (1/3)x with -x, 5 with 6

=> [(1/3)x - x] + (5+6) = 0
=> (-2/3)x + 11 = 0
=> (-2/3)x = -11
=> x = -11 : (-2/3) = 33/2.

Recheck : 1/3 x 33/2 + 5 = 33/6 + 5 = 63/6 = 21/2

33/2 - 21/2 = 12/2 = 6 (21/2 is 6 less than 33/2, satisfied.)

Using slope formula

m = (y2 -- y1) / (x2 -- x1)

m= slope

Plug in values, for x1 if you use 4 you must then for x2 use -2 but if you use -2 for x1 you must use 4 for x1, simply, if you go left to right, you cant go right to left on the next one.

m = (3 --4) / (4 --2)  

m= 7 / 6

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.

So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.

Hope this helps:)

Answer:

by carrying on a violent feud

Step-by-step explanation:

Montague and Capulet families were the feuding families who were against with each other. They were rival of each other since generations. Juliet was the daughter of Capulet and Romeo was the son of Montague. They fell in love for each other. It is because of the rivalry of their parents that the lovers died out of grief and impossibility of staying together. Every Montagues and the Capulets were at war each other and they stood against because of the dispute. The deaths of the lovers was majorly effected by the rivalry of the families.

Answer:

a

Step-by-step explanation:

Answer:

Domain x ≥ 0 Range y ≤ 0

Step-by-step explanation:

Answer:

\(Domain = \{x\,|\,x\geq 0\}\)

\(Range=\{\,y\,|\,y\leq 0\}\)

Step-by-step explanation:

Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For \(\sqrt{x}\) to exist, x must be larger than or equal to zero (\(x\geq 0\))

So this gives us the description for building the Domain (what is called "set builder notation":

\(Domain = \{x\,|\,x\geq 0\}\)

Now for the Range, let's look into all the possible values that these  \(x\geq 0\) values of x can render:

\(x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0\)

but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;

\(-4\,x\,\sqrt{x} \leq 0\)

Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:

\(Range=\{\,y\,|\,y\leq 0\}\)

we have the system

y + z = 6 ------> equation P

5y + 9z = 1 -----> equation Q

i will solve by elimination

step 1

Multiply the equation P by -5

so

(y + z = 6) *-5

-5y-5z=-30

adds equation Q

-5y-5z=-30

5y + 9z = 1

------------------

5z+9z=-30+1

therefore

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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Answer:

C.

Step-by-step explanation:

A concave polygon must have atleast an internal angle which is greater than other angles.

\({ \underline{ \blue{ \sf{christ \: † \: alone}}}}\)

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  \(\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)\)

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  \(2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}\)

Multiplication increases the number of times the base is a factor.

  \((2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5\)

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  \(\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1\)

Thus, the correct Percent response is B) 79%.

Percentage refers to a portion of every hundred. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, it is frequently shown using the percent sign, "%".

If you have 100 apples and distribute 10 of them, for instance, you have distributed 10% of your total apple supply.

We deduct Ms. Yamato's deductions from her gross income to determine her take-home pay:

$2644 - $548.30 = $2095.702.

By dividing her take-home pay by her gross pay and multiplying the result by 100%, we can determine what proportion of her gross pay is taken home:

($2095.70 / $2644) * 100% = 79%

Thus, the correct response is B) 79%.

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In a tesselation of the plane with congruent equilateral triangles, each vertex is shared by six triangles.

This can be visualized by imagining a single equilateral triangle as the center, surrounded by six other equilateral triangles that share a common vertex with the central triangle. Therefore, in this type of tesselation, each vertex is surrounded by six neighboring triangles.

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The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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Answer:This is -8/10 which can be reduced to -4/5

Answer:

A) 1/5

Step-by-step explanation:

Points on the graph: (10, 2) and (20, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-2)/(20-10)

m= 2/10

m = 1/5

Truth statement are statements or assertions that is true regardless of whether the constituent premises are true or false. See below for the definition of Euclidean Postulates.

There are five Euclidean Postulates or axioms. They are:

1. Any two points can be joined by a straight line segment.

2. In a straight line, any straight line segment can be stretched indefinitely.

3. A circle can be formed using any straight line segment as the radius and one endpoint as the center.

4. Right angles are all the same.

5. If two lines meet a third in a way that the sum of the inner angles on one side is smaller than two Right Angles, the two lines will inevitably collide on that side if they are stretched far enough.

The right angle in the first page of the book shown and the right angles in the last page of the book shown are all the same. (Axiom 4);

If the string from the Yoyo dangling from hand in the picture is rotated for 360° such that the length of the string remains equal all thought, and the point from where is is attached remains fixed, it will trace a circular trajectory. (Axiom 3)

The swords held by the fighters can be extended into infinity because they are straight lines (Axiom 5)

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The total number of numbers less than 2016 with a digit sum of 8 is 116 numbers.

The sum of the digits in the positive whole numbers is to be 8.

So the possibilities are obtained by means of permutation as follows:

Three 0's and an 8;  ⁴P₁ = 4

One 1 and one 7, ⁴P₂ = 12

One 2 and one 6; ⁴P₂ = 12

One 3 and one 5; ⁴P₂ = 12

Two 1's and a 6; (⁴P₃/2!) = 12

One 1, one 2, and one 5; ⁴P₃ = 24

Two 2's and a 4; (⁴P₃/2!) = 12

Two 3's and a 2; (⁴P₃/2!) = 12

Two 4's and a 0; (⁴P₃/2!) = 12

Three 1's and a 5; (⁴P₃/3!) = 4

Total = 116 numbers

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The correct answer is (a) yes; the equilateral triangle tessellates the plane.

A tessellation is a tiling of the plane using one or more geometric shapes without any gaps or overlaps. For a regular polygon to tessellate the plane, the sum of its interior angles must be a multiple of 360 degrees.

For an equilateral triangle, each angle measures 60 degrees, so the sum of the angles in a triangle is 180 degrees. Therefore, the sum of the interior angles in a tessellation of equilateral triangles must be a multiple of 180 degrees.

Since the measure of the interior angle of an equilateral triangle is 60 degrees, we can tile the plane with equilateral triangles meeting at each vertex. At each vertex, the sum of the interior angles of the three triangles is 180 degrees, so the tessellation meets the requirement that the sum of the interior angles is a multiple of 360 degrees.

Therefore, the answer is (a) yes; the equilateral triangle tessellates the plane.

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Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

Answer:

3

The x-intercept of the graph is -4

Graph B

The last graphing question is kinda hard to read so. It should not be c or d. Look for the graph where the line passes through the y-axis starts 30.

Step-by-step explanation:

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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The expression that is equivalent to 27x² - 72x/9x is 3x - 8

The expression whose equivalence is to be determined is given as

27x^2-72x/9x

The above expression can be properly expressed as follows

27x² - 72x/9x

Introduce the use of brackets

So, we have

(27x² - 72x)/9x

Factor out x from the numerator

This gives

(27x² - 72x)/9x = x(27x - 72)/9x

Cancel out the common factor

(27x² - 72x)/9x = (27x - 72)/9

Factor out 9 from the numerator

This gives

(27x² - 72x)/9x = 9(3x - 8)/9

Cancel out the common factor

(27x² - 72x)/9x = 3x - 8

Hence, the equivalent expression is 3x - 8

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The measure of the angle the minute hand traces in 49 minutes on a clock is 4.084 radians A radian is an angle measure defined by the ratio of an arc length to a radius.

A radian is a measure of angle equal to the radius of a circle, and is defined as the amount of angle subtended by an arc that is equal in length to the radius of the circle. The radian measure of an angle is defined as the ratio of the length of the arc s to the radius r of the arc s of a circle:\(θ = s/r\)

Where,θ is the measure of the angle in radians.s is the arc length. r is the radius of the circle.

One revolution of the clock is equal to 2π radians.

The minute hand of the clock makes one full revolution in 60 minutes. Therefore, in 49 minutes, the minute hand of the clock moves through an angle equal to:

θ = 49/60 × 2π

= 4.084 radians

Thus, the measure of the angle the minute hand traces in 49 minutes is 4.084 radians.

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Answer:

\(\frac{31}{20}\)

Step-by-step explanation:

hey there,

< \(w +\frac{1}{2} = \frac{1}{20} + 2\)

Move the variable "w" to one side and all regular numbers to the other.

\(w = \frac{1}{20} + 2 - \frac{1}{2}\)

Continue simplifying. Put everything under the least common denominator (LCM) which would be "20" here.

\(w = \frac{1+40-10}{20} = \frac{31}{20}\)

w = \(\frac{31}{20}\) is your final answer. >

Hope this helped! Feel free to ask anything else.