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The 4 types of exponents are positive, negative, zero, and rational.

When an expression or statement of specific natural numbers (0 to ∞), is represented as repeated power by multiplication of its units, then the resulting number is an Exponent.

For example, take the value 7⁵. Here the number 7 is called “base” and the number 5 (up) is called the exponent or power of that mathematical sequence. Now, to precisely calculate the value of this exponent, simply multiply the base number as many times as denoted by the power. So, for this case, it would be 7×7×7×7×7 = 16807.

Thus, 16807 can be represented in the form of exponents as 7⁵.

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Answer: A seagull flies 15 feet above the surface of the ocean. The table shows the location of several other objects in relation to the ocean’s surface. Object Location in Comparison to the Ocean’s

Step-by-step explanation: Surface:Fish: –6 feet Shark: –50 feet Airplane: 150 feet Submarine: –218 feetPelican: 9 feet

Answer:

In order to form a triangle, the sum of the length of two sides should be greater than the length of the third side. This is called the triangle inequality theorem.

Given the side lengths of 17 cm, 7 cm, and 8 cm, we can see that 17 cm is the longest side. To form a triangle, the sum of the other two sides (7 cm and 8 cm) should be greater than 17 cm.

7 cm + 8 cm = 15 cm which is less than 17 cm. Therefore, it is not possible to construct a triangle with sides 17 cm, 7 cm, and 8 cm.

Step-by-step explanation:

Answer:

No u cannot

Step-by-step explanation:

7+8 = 15 which is less than 17 meaning u cannot create a triangle with this

Step-by-step explanation:

The number in the thousandths place value in 45.1672 is 6.

That which is not a way to determine whether a relation is a function is this:

D. Determine if the relations’ graph forms a line.

One notable way of determining if a relation is a function is whether an input results in a single output. A function is easily identified by the ability to generate a single output when a single input is inserted.

While the input value is the domain, the output translates to the range. Checking whether the relation's graph forms a line is not a viable way of determining whether a relation is a function.

Options:

A.

Use the vertical line test on a graph of the relation.

B.

Check to see if each input maps to only one output.

C.

There should be no duplicated x-coordinates in the ordered pair set.

D.

Determine if the relations’ graph forms a line.

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Answer: Each meat loaf was made with the same amount of ground beef, and Bianca made 5 meat loaves using 8 pounds of ground beef. To find the amount of ground beef in each meat loaf, we can divide the total amount of ground beef used to make the meat loaves by the number of meat loaves.

So, the amount of ground beef in each meat loaf is 8 pounds / 5 meat loaves = 1.6 pounds

In terms of the options provided, 1.6 pounds is equal to 8/5 (Option A)

Step-by-step explanation:

The statement true about the system of inequalities solution is option A, all the values of satisfy y ≤ 1/3x -1.

One or more linear inequalities in each of the same two variables make up a system of linear inequalities in two variables. A linear inequality's solution is an ordered pair that resolves all of the system's inequalities, and the inequality's graph is a representation of all of the system's solutions.

Given the graph of the system of inequalities we can see that the inequality y ≤ 1/3x -1, comprises of all the values under the blue shaded region. This region also includes the graph of the second inequality.

Hence, option A is correct as all the values of satisfy y ≤ 1/3x -1.

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The equation of a line that is perpendicular to the line y = 34x + 5 and passes through the point (0, 3) is y = -34x + 3

The slope-intercept form of the equation of a line is y = mx + c, where

The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. In this case, the original line has a slope of 34, so the slope of the line that is perpendicular to it is -1/34.

To find the y-intercept of the line, we can use the point (0,3) that the line passes through. Substituting the x and y values of this point into the equation of the line, we get 3 = -34(0) + c, which simplifies to c = 3.

So the equation of the line that is perpendicular to y = 34x + 5 and passes through (0, 3) is y = -1/34x + 3

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Answer:

Obtuse

Step-by-step explanation:

The angle measures add to [tex]180^{\circ}[/tex], so a triangle can be formed.

Since one of the angles has a measure greater than [tex]90^{\circ}[/tex] but less than [tex]180^{\circ}[/tex], the triangle is obtuse.

A basis of R3 cannot have more than 3 vectors, because any set of 4 or more vectors in R3 is linearly dependent.

Vectors v1, v2, . . . , v k ∈ V is called linearly dependent if they satisfy a relation of:

r₁v₁+r₂v₂+ · · · + rkvk = 0,

where the coefficients r1, . . . , r k ∈ R are not all equal to zero.

Otherwise vectors v1, v2, . . . , v k are called linearly independent. That is, if

r₁v₁+r₂v₂+ · · · +rkvk = 0 =⇒ r₁ = · · · = rk = 0.

An infinite set S ⊂ V is linearly dependent if there are some linearly dependent vectors v₁, . . . , v k ∈ S.

Otherwise, S is linearly independent.

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The amount of numbers that are greater than 3 is given as follows:

Infinity.

The four inequality symbols, along with their meaning, are presented as follows:

The inequality for this problem is defined as follows:

x > 3.

Meaning that the graph is composed by all the values that are greater than 3.

Perhaps the biggest difference between an equality and an inequality is the number of solutions. While an equality has a fixed number of solutions, an inequality has infinity solutions, as all the values in the solution set are solutions to the inequality.

(the solution set in this problem is all the values to the right of x = 3).

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Answer:

(-2,3) or x= -2 and y= 3

Step-by-step explanation:

I didn't graph this, but you could.

For the first equation: Subtract x from both sides to get 2y= -x +4

Next divide both sides by 2 to get y= -1/2x + 2 (Now graph this)

For the second equation subtracted both sides by -3x to get 2y= -3x

Next, divide both sides by 2 to get y= -3/2x (Now graph this)



I used elimination. I wrote both equations out then subtracted 2y from both of them then did -2x = 4

x= -2

then I substitued -2 + 2y = 4

6  = 2y

y=3

Decide on the input values. Choose the output values. You should classify a connection as a function if each input value results in only one output value.

Any possible input value will result in exactly one output value, which is the definition of a function. "The output is a function of the input" is how we phrase it. The range is comprised of the output values, whereas the domain is made up of the input values. But not all relations are functions, and vice versa.

Formulas or graphs are typically used to depict functions.There are many different kinds of relations and functions, including empty relations, universal relations, reflexive relations, symmetric relations, transitive relations, equivalence relations, constant functions, polynomial functions, identity functions, on-to-one functions, onto functions, bijective functions, etc.

No relationship has the characteristics of a function if each input does not have a distinct output.There are nine different forms of mathematical relations: empty relation, full relation, reflexive relation, irreflexive relation, symmetric relation, anti-symmetric relation, transitive relation, equivalence relation, and asymmetric relation.

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The average rate of change is 19   3 ≤19 ≤15

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The solution for this scenario is,

⇒ 53 t-shirts and 55 yearbooks

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The band is selling t-shirts for $22 and yearbooks for $23.

And, The goal is to sell at least $2,400 in merchandise.

Now, Let  x = number of $22 t-shirt

Let y = number of $23 yearbook

Hence, We can formulate;

⇒ 22x + 23y ≥ 2400

By option 4;

There are 53 t-shirts and 55 yearbooks.

Hence, Substitute x = 53 and y = 55 in above equation,

⇒ 22x + 23y ≥ 2400

⇒ 22×53 + 23×55 ≥ 2400

⇒ 1166 + 1265 ≥ 2400

⇒ 2431 ≥ 2400

Thus, The correct option is,

⇒ 53 t-shirts and 55 yearbooks

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The product of a, b and c would be 6.

What is an expression?

An expression is a mathematical phrase that can contain numbers, variables, and operators. Expressions do not contain an equal sign and they can't be solved for a single value. They are used to represent a value or a set of values.

The given expression is     [tex]\frac{\sqrt[4]{16xy^4}}{x^{\frac{1}{2}}y^{\frac{1}{2}}}[/tex]

In order to write the expression in the form of [tex]ax^by^c[/tex], we need to simplify it.

First, we simplify the fourth root of [tex]16xy^4[/tex] by taking the fourth root of 16, which is 2. So, the expression becomes

[tex]2\frac{xy^4}{x^{\frac{1}{2}}y^{\frac{1}{2}}}[/tex]

Next, we simplify the fraction by canceling out the[tex]x^{\frac{1}{2}} $$ and $ y^{\frac{1}{2}}[/tex] from the numerator and denominator. This gives us [tex]2xy^3[/tex]

So the expression in the form of [tex]ax^by^c[/tex] is [tex]2xy^3[/tex], where a = 2, b=1, and c=3.

the product of a, b, and c is 2 * 1 * 3 = 6.

Hence, the product of a, b and c would be 6.

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If [tex]f(x)=x^2[/tex] and [tex]g(x) = -\frac{1}{2}(x-6)^2 + 3[/tex],

then:

So the graph has been flipped upside-down, squished vertically, moved right and up.

The equation that must be true for event C and D to be independent are P(C│D) = P(C) and

P(D│C ) = P(D).

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B)

For two events C and D. For the two events to be independent events then;

P(C│D) = P(C∩ D)/ P(D) = P(C)

or

P(D│C) = P(D∩ C)/ P(C) = P(D)

For example if a fair die is rolled,

P(D ) = Probability of getting a 3

P(C) = Probability of getting an even number

P(C│D) = P(C∩ D)/ P(D)

P(C∩ D)= 1/3 × 1/2 = 1/6

P(C│D) = P(C∩ D)/ P(C) = 1/6 ÷ 1/3 = 1/2

therefore P(C│D) = P(C) and

P(D│C ) = P(D).

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There are an endless number of solutions to a system of m n linear homogeneous equations with m n fewer equations than unknowns. As a result, such a system always has both the zero solution and the nonzero solution.

What is  infinite solution?

Both sides of an infinite solution are equal. As an illustration, 6x + 2y - 8 = 12x + 4y - 16 Using a formula or method for infinite solutions, you can simplify the equation and make both sides to equal one another, making it an infinite solution. The concept of infinite connotes boundlessness or infinity. Typically, it is denoted by the symbol "".

What is an infinite number?

There are an unlimited number of numbers in a series. a collection of infinitely many natural integers, as an illustration. The initial value 0, and the initial value infinite, are represented by the logarithms and +, respectively.

                   The original values 0 and infinity are similarly treated when we consider both of the conceivable values and + as a single infinity.

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We will use the method of linear equations to get the width of the rectangle, which is 15 inches.

Here we are given that the length of the rectangle is 10 inches and the perimeter is 50 inches.

We know that the perimeter of a shape is the length of the boundary of that shape.

The formula for the perimeter of a rectangle is 2(l + b)

= 2 X (length of the rectangle + breadth of the rectangle)

Here length, l = 10 inches, the perimeter is 50 inches, and we have been to consider breadth to be w inches.

Hence we can use the formula of the perimeter and the method of a linear equation to get the width.

Hence we get

2(10 + w) = 50

or, 10 + w = 25

or, w = 25 - 10

or, w= 15 inches.

Hence the width is 10 inches wide.

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Complete Question

The perimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which method can be used to find w, the width of the rectangle?

The combination of quality, efficiency, price, and service that guarantees the ultimate economy and satisfaction of the customer is referred to as value.

What's the MCQ's response?

A multiple choice (MC), objective response, or MCQ (multiple choice question) is a type of objective assessment in which participants are required to choose only the right responses from a list of options.

What does "value analysis" mean?

Value analysis (VA), often referred to as Value Engineering (VE) and Value Management (VM), is a methodical and function-based approach to enhancing the value of initiatives, projects, or processes. Alternative methods of achieving goals are found using a combination of analytical and creative strategies known as value analysis.

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When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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Answer:

87=3x+24

Solve for x.

Step-by-step explanation:

AD=1/2*AB

5y-3=1/2(7y)

Solve for y.

The range of a function  is the set of all the y-values that you get when you plug all of the possible x-values into the function. It is also called a co-domain of function.

To find the range of function write down the function as y=f(x). Find all the minimum to a maximum value of y that satisfies f(x). The values obtained are the range of function. Plot the range on the graph.

For example, if you want to find the range of f(x) = 3x^2 + 6x -2. The lowest y-coordinate is at the vertex, -5, and the values for set y expand infinitely above this point. This means that the range of the function is y={-5, R}

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The correct option 3. D is C reflected across the y-axis; only the signs of the x-coordinates are different for C and D.

The locations of C and D's coordinates are supplied to us as follows:

As a result, C is the first coordinate just on axis (-1.5, 3).

As a result, D is the second coordinate upon that axis (1.5, 3).

Thus, the statement D is C mirrored across the y-axis, with the only difference between C and D being the sign of the x-coordinates, best captures the relationship between the locations of the 2 midfield players.

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The complete question is-

Points C and D on the coordinate grid below show the positions of two midfield players of a soccer team:

Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point C is 1.5 units to the left and 3 units up. From the origin, point D is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players?

The formula for the area of a triangle is 1/2bh. This formula can be derived from the area of a parallelogram.

A parallelogram is a four-sided shape with two pairs of parallel sides. To find the area of a parallelogram, you need to multiply the base, b, by the height, h. This will give you the area of the parallelogram, which is bh. To find the area of a triangle, you need to divide the area of a parallelogram by two since a triangle has only one set of parallel sides. Therefore, the formula for the area of a triangle is 1/2bh. To calculate the area of a triangle, you need to multiply the base by the height and then divide the result by two. For example, if the base of a triangle is 8 cm and the height is 4 cm, the area of the triangle is 1/2 × 8 × 4 = 16 cm2.

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Answer: 250

Step-by-step explanation: :)

Answer: 250

Based on the given conditions, formulate:: 15 x 100 over 60

Simplify fraction(s): 5 x 50

Calculate the product or quotient: 250

The value of the angle tan(D) will be 53.13°.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the sides of the triangle are BC = 32 and CD = 24.

The value of tan(D) is calculated as,

tan(D) = 32 / 24

D = tan⁻¹ (32 / 24 )

D = 53.13°

The value of angle D will be 53.13°.

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