Solve the inequality two-thirds times the absolute value of the quantity one half times x plus 3 end quantity is less than 4.

x > −18 and x < 6
x < −18 and x < 6
x > −18 and x < 18
x > −30 and x < 18

Answer:2x3=5

Step-by-step explanation:3x8=1234

The degree of the given polynomial is 4 and the number of terms from the above given polynomial is 2 .

What is the Degree of a Polynomial?

Degree of a polynomial can be defined as the highest power of the variable in a polynomial.

Given polynomial,

= 12x²y^4 - 10xy³ + 25x

The degree of the given polynomial is 4.

the number of  terms from the above given polynomial are x and y.

so the number of terms from the above given polynomial is 2 .

Hence, The degree of the given polynomial is 4 and the number of terms from the above given polynomial is 2 .

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Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors.

Step 2: calculate A and B magnitudes

Step 3: calculate x, y components

Step 4: sum vector components

Step 5: calculate magnitude of R

Step 6: calculate direction of R

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

Examples of vectors in nature are velocity, momentum, force, electromagnetic fields and weight. A quantity or phenomenon that exhibits magnitude only, with no specific direction, is called a scalar. Examples of scalars include speed, mass, electrical resistance and hard drive storage capacity.

Vectors are typically represented by an arrow with a beginning, or tail, and an end, or head, that is usually represented by an arrowhead. Vectors delineate the movement from point A to point B and can be defined as an entity with a designation, such as vector a.

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Answer: 50 minutes

Step-by-step explanation:

4 bracelets for 10 minutes

20/4=5

5*10=50

so it will take them 50 minutes

Answer: 50 minutes for 20 bracelets

Step-by-step explanation: 4 × ?=20

4 × 5 = 20

now we could add 10+10+10+10+10=50

or

we could multiply 10 by 5.

we would get 50.

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Answer:

A ≈ 561.2 yd²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( where s is a side of the triangle )

here s = 36 , then

A = [tex]\frac{36^2\sqrt{3} }{4}[/tex] = [tex]\frac{1296\sqrt{3} }{4}[/tex] = 324[tex]\sqrt{3}[/tex] ≈ 561.2 yd²

Answer:

The dimensions of the rectangle are 22 and 55 feet

Step-by-step explanation:

We can set the Width to be X and the Length to be 3x-11 since it is 11 less than 3 times the width.

the perimeter is 2 widths plus 2 lengths so x + x + 3x-11 + 3x-11 or 8x -22
since the perimeter is also 154, we get that 8x-22 = 154, we can add 22 to both sides and get that 8x = 176 if we divide both sides by 8 we get that X or the width is 22 and since the length is 3 times the width minus 11 it is

66-11 or 55.

One albino laboratory rat is an independent variable.

To investigate how alcohol affects reaction times, sixty participants were randomly split into two groups. Those in one group drank a certain amount of alcohol, while those in the other group drank non-alcoholic beverages. Both groups' reaction times were timed before and after the beverage.

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The question is incomplete and wrong:

Sixty albino laboratory rats were randomly divided into two groups as part of a study on the effects of alcohol on reaction time. Each member of one group consumed a specified amount of alcohol and members of the other group had a non-alcoholic beverage. The reaction time of both groups was measured before and after taking the beverage/alcoholic drink. What is the INDEPENDENT VARIABLE?

a. Amount of alcohol

b. Reaction time

c. One albino laboratory rat

d. Sixty albino laboratory rats​

The volume of the rectangular box is equal to 36 1/4 or 36.25 cubic inches.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

Substituting the given parameters into the formula for the volume of a rectangular prism, we have;

Volume of rectangular prism = 3 5/8 × 2 1/2 × 4

Volume of rectangular prism = 29/8 × 5/2 × 4

Volume of rectangular prism = 580/16

Volume of rectangular prism = 36 1/4 or 36.25 cubic inches.

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The graph of a linear function (a line) can be moved around the coordinate grid. This is called a transformation. There are three basic transformations: translation (sliding the line around), reflection (flipping the line), and scaling (stretching the line). You can move (transform) the line vertically or horizontally.

Now, According to the question:

Transformations of Graphs:

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally.

The graph of a linear function (a line) can be moved around the coordinate grid. This is called a transformation. There are three basic transformations: translation (sliding the line around), reflection (flipping the line), and scaling (stretching the line). You can move (transform) the line vertically or horizontally.

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When we compare the given expression with the slope-intercept form, we get the required slope. Here, the slope is -3.

A line's slope or gradient numerically expresses its steepness and direction. It provides the ratio of how much y alters when x alters by a particular amount. Since m is the slope and c is the y-intercept, y=mx+c is the general form. This is the slope-intercept form.

Compare the given expression y=-3x-7 with the slope-intercept form. We get, the slope value as m=-3 and the intercept value as c=-7. Therefore, the required answer is -3. So the value of y changes with -3 times of x.

The complete question is -

What is the slope of any line parallel to y=-3x-7?

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Answer: 4/12

Step-by-step explanation: Simplified into 1/4                                         :)

Answer:

4/12 chance of getting striped card

Step-by-step explanation:

There are 4 striped cards, out of 12 cards, so that would be 4/12

The positive difference between the two answers is 8.6 units.

Rachel first calculates the expression as it is written and rounds the answer to the nearest whole number:

$\frac{3.32}{1.66} 18.4$ = 18.4

She then calculates it again, but rounds each of the 3 numbers in the expression to the nearest integer:

$\frac{3}{2} 18$ = 27

The positive difference between the two answers is:

18.4 - 27 = -8.6

So, the positive difference between the two answers is 8.6 units.

It's worth noting that when you round the numbers before performing the calculations, the result may be different than the exact result, but it can be useful in some cases to have an approximation of the answer.

Also, the difference between the two answers is negative because the second answer is greater than the first one.

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The scale factor of AABC dilation of ADEF with center (0, 0) is 3.

Scale factor is a numerical value used to indicate the proportional change in the size of an object or image. It is often expressed as a fraction or ratio, for example 1:2, where the first number (1) represents the original size, and the second number (2) represents the new size. This is also referred to as a "scaling factor," since it indicates how much larger or smaller the new size is compared to the original size. Scale factors can be used to resize objects in different directions, such as width, height, and depth.

This means that each point of ADEF was scaled up by a factor of 3. This means that the length and width of ADEF were multiplied by 3 to make the new figure AABC. For example, if the length of ADEF was 6, then the length of AABC would be 18. Similarly, if the width of ADEF was 9, then the width of AABC would be 27.

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If g(x) is obtained by shifting f(x) down by 7 units, the value of k is 7.

In Mathematics, the translation of a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.

Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + k) while a vertical translation to the negative y-direction (downward) is modeled by this mathematical expression g(x) = f(x) - k.

Where:

By comparison based on the graph of f(x) = (0.5)^x and g(x) = (0.5)^x − k, we can logically deduce that the value of k is equal to 7.

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Answer: { -3, -1, 0, 2, 4}

Step-by-step explanation:

the domain is the x values of ordered pairs

Answer:

f(-3) = -42

Step-by-step explanation:

Substitute X in the function definition:

f(-3) = -(-3)² + 5(-3) - 18
f(-3) = -9 - 15 - 18
f(-3) = -42

It is clear that planes q and r are parallel based on the fact that they do not intersect and remain in the same plane.

Lines a and b, however, are skew because they are not parallel, not in the same plane, and do not intersect.

This can be seen by looking at the angles formed by lines a and b, as they are not equal and are not of the same degree.

Furthermore, lines a and b cannot be in the same plane as planes q and r, as they do not intersect, and therefore they must be skew.

This is because two lines that are parallel to the same plane cannot be skew to each other. Therefore, lines a and b must be skew since they are not parallel to planes q and r.

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The additional amount of money Dan will spend can be written in an inequality form such as = c >/= $15

Inequality is defined as the expression that is used to represent two values that are not equal. < less than or > great than signs are usually used for such expressions.

The least amount of money Dan can spend of gifts = $32

The amount he has spent so far = $15

The amount remaining c = 32-15 = $17

Therefore, additional amount of money Dan will spend can be written in an inequality form such as = c >/= $15

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To simplify, you must add the exponents. To add or subtract fractions, the denominator must be the same.

In expression [tex]a^\frac{5}{3}[/tex] and [tex]a^\frac{1}{4}[/tex]  if you have to solve this you have to first add them according to the rule of indices ([tex]a^2 * a^4 = a^6[/tex]).

[tex]a^\frac{5}{3} * a^\frac{1}{4} = a^\frac{5*4 + 3*1 }{4*3} \\\\a^\frac{20 + 3}{12} \\\\a^\frac{23}{12}[/tex]

The components of a number array are described using index notation in both mathematics and computer programming. Using indices has varying degrees of formality depending on the subject. Specifically, depending on whether one is writing a formal academic article for publication or when one is building a computer program, there are several ways to refer to the components of a list, a vector, or a matrix.

Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bⁿ and is pronounced as "bⁿ." Exponentiation corresponds to base multiplication when n is a positive integer; therefore, bⁿ is the result of multiplying n bases:

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The values of angles x and y in the trapezium are 48 and 115 degrees.

A trapezium is a quadrilateral with one pair of sides parallel to each other. Sum of angles pair between parallel line is 190 degrees.

Therefore, let's find x and y in the trapezium.

y + 132 = 180

subtract 132 from both sides of the equation

y + 132 - 132 = 180 - 132

y = 48 degrees

x + 65 = 180

subtract 65 from both sides of the equation

x + 65 - 65 = 180 - 65

x = 115 degrees.

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Answer: x=68

Step-by-step explanation:

The triangle equal up to 180 and 89 + 44 = 128

And 128 - 180 is 68

So x=68

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A distance of 6.5 inches on the map represents 6.5*40 = 260 miles on the ground.

step1:

scales on a map =40 inch .

1 inch =40 miles .

then miles represents on the map =6/1/2 .

6/1/2=40miles .

13/2=40

80=13,

scale on the map =3/13/42

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On a ground-based map, 6.5 inches correspond to 6.5*40, or 260 miles.

The legend for the map includes a scale bar. It is stated as an inch-to-inch, foot-to-foot, or mile-to-mile conversion of the ground to the map.

The relationship (or ratio) between the distances shown on a map and their actual distances on the ground is referred to as the map scale.

40 inch is the scale of a map.

1 inch equals 40 miles.

then miles on the map is represented as 6/1/2, which is 40 miles.

13/2 = 40 80 = 13, and the map's scale is 3 13/42.

On a ground-based map, 6.5 inches correspond to 6.5*40, or 260 miles.

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The volume of cube with edge m is,

⇒ V = m³

A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve equal edges is called cube.

Given that;

A shipping box is in the shape of a cube.

Now, Let an edge of the shipping box = m

So, The volume of the shipping box is,

⇒ V = m × m × m

⇒ V = m³

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Answer:

64m^24n^12

Step-by-step explanation:

The triangles are congruent using SSS or SAS, *for 8* Yes, SAS says it is accurate.

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The price per quart of water would be = $2.35

The equivalent of a quart means the total amount of cups of water that can be found in a quart after conversation.

The equivalence of a quart of water would be = 4 cups

Therefore, if 6 cups = $ 3.52

4 cups = X

Make X the subject of formula;

X = 4 × 3.52/6

X = 14.08/6

X = 2.35

Therefore, a the price per quart of water = $2.35.

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Note that in the above problem,  m∠Y > 72°. This problem can be approached with logic and Physics. (Option A)

Usually, you would require at least two sides to solve for an angle. However, without out that information lets examine what we know.

1) It is given that in Δ UVW, the side opposite UW is 36cm;

2) we know that in ΔXYZ the side opposite XZ is 39cm.

3) we know that both triangles are similar in that they are scalene triangles

4) we know that they have similar sides that is:

UV ≅ XY; and

VW ≅ YZ

5) ∠V = 72°

Given item 4, since all other factors between both triangles are similar, the logic of physics suggests that extending XZ will increase ∠Y and vice versa.

Since we know that XZ is 39cm (that is 3cm longer than UW), it therefore is logical to expect m∠Y to be larger than the angle to which it is similar in  ΔUVW which is ∠V.

Thus, the correct answer is m∠Y> 72° (Option A)

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The value of the side ST or p is equal to 3

A trapezoid is also known as a trapezium is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides. The parallel sides are known as the bases and the non-parallel sides are known as the legs of the trapezoid.

Given here: A trapezoid STVW and ST=p and UX=4p-3 and VW=2p+9 with U and X are midpoints.

The length of the midsegment is the sum of the two bases divided by 2.

Now we know that the mid segment UX is given by    

UX= ST+VW / 2

thus substituting the values we get

4p-3= p+2p+9 /2

8p-6=3p+9

5p=15

p=3

Hence, The value of p is equal to 3

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The average rate of change on the given interval [0, 2] is:

r = 1.5

For any function y = f(x), we define the average rate of change on an interval [a, b] as:

r = ( f(b) - f(a))/(b - a)

Here we want to find the average rate of change of the graphed function on the interval [0, 2]

Then we will have:

r = ( f(2) - f(0))/(2 - 0) = ( f(2) - f(0))/2

Using the graph, we can see that:

f(0) = 1

f(2) = 4

Replacing that in the equation above we will get:

r = (4 - 1)/2

r = 3/2

r = 1.5

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Jacki is correct, that one number is correct nineties, which is number 97

Prime number - In mathematics, the prime numbers are the numbers which can be divisible by 1 and the number itself. In other words prime numbers are the numbers which has only two factors.

Composite Number - In mathematics, the composite numbers are the numbers which can be divisible by 1 and number itself and other numbers as well.

Given statements,

Marla says that every number in the nineties is composite

Jackie says that one number in the nineties is prime

Lets check,

91 is divisible by 7, 1, 91, 13

92 is divisible by 2, 1, 91, 46

93 is divisible by 3, 31, 1, 93

94 is divisible by 2, 1, 94, 47

95 is divisible by 5, 1, 95, 13

96 is divisible by 2, 1, 96, 48

97 is PRIME, is only divisible by 1 & 97

98 is divisible by 2, 1, 98, 49

99 is divisible by 3, 1, 99, 33

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There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions.

The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:

sin θ = Opposite Side/Hypotenuse

cos θ = Adjacent Side/Hypotenuse

tan θ = Opposite Side/Adjacent Side

sec θ = Hypotenuse/Adjacent Side

cosec θ = Hypotenuse/Opposite Side

cot θ = Adjacent Side/Opposite Side

sin 45= 1/√2

cos 45 = 1/√2

sec 45 = 1

cosec45 = 1

tan 45 = √2

cot 45 = √2

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