I NEED HELP ASAP
Which pair shows equivalent expressions?
A) 2(2/5x + 2) = 2 2/5x +1
B) 2 (2/5x + 2) = 4/5x + 4
C) 2 (2/5x + 4) = 4/5x +2
D) 2 (2/5x + 4) = 2 2/5x +8

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The relation is a function only if it is single-valued for all values of x.

  A: doubly-defined at x = 4.

  B: doubly-defined at x = 2

  C: a function

  D: doubly-defined on the interval (-5, -4]

Answer:C on edg

Step-by-step explanation:

just did the test

Answer:

A Reflection

Step-by-step explanation:

In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.

Answer: multiplicative inverse of 2 + 4i is:-1/12 (1/(2 - 4i)) = -1/12 (1/(2/10 + 2i/10)) = -1/12 (10/(2^2 + (2i)^2)) = -1/12 (10/(4 + 4)) = -1/12 (10/8) = -5/48 + 0i

Step-by-step explanation:

The multiplicative inverse of a complex number is found by dividing 1 by the number.The multiplicative inverse of 2 + 4i is given by 1/(2 + 4i).To find this, we can simplify the fraction using basic algebraic rules:1/(2 + 4i) = 1/((2 + 4i)(2 - 4i))/(2 - 4i) = 1/(2^2 + 4^2i^2)/(2 - 4i) = 1/(4 - 16)/(2 - 4i) = 1/(-12)/(2 - 4i) = -1/12/(2 - 4i) = -1/12 (1/(2 - 4i))Since the denominator is in the form of a complex number (2 - 4i), we can find its multiplicative inverse by conjugating the denominator and dividing the numerator by the magnitude squared of the denominator:(2 - 4i)^-1 = (2 + 4i)/((2)^2 + (4i)^2) = (2 + 4i)/(4 + 16) = (2 + 4i)/(20) = (2/20) + (4i/20) = 1/10 + (2i/10)Therefore, the multiplicative inverse of 2 + 4i is:-1/12 (1/(2 - 4i)) = -1/12 (1/(2/10 + 2i/10)) = -1/12 (10/(2^2 + (2i)^2)) = -1/12 (10/(4 + 4)) = -1/12 (10/8) = -5/48 + 0i

If the standard deviation of sales is equal to some value, we can calculate the variance by squaring the standard deviation.

to answer the question, we need to understand the relationship between standard deviation and variance. the variance is the average of the   square   d differences from the mean, while the standard deviation is the square root of the variance.

in the concert sales dataset (containing sample data), the standard deviation of sales is equal to question 22select one: a. square of the mean sales value b. square of the variance of sales c. square root of the mean of sales d. square root of the variance of sales

Learn more about square here:

https://brainly.com/question/14198272

#SPJ11

The variable being measured in this scenario is a categorical variable that represents the proportion of undergraduate students at a university who have taken biology.

The variable being measured in this case is a categorical variable, specifically the proportion of undergraduate students at a university who have taken biology.
In this scenario, the administrator is interested in determining the proportion of undergraduate students at a university who have taken biology. The variable being measured is the proportion itself, which represents a specific category or group within the population of undergraduate students. Categorical variables are variables that can be divided into distinct categories or groups, and they do not have a numerical value associated with them.
In this case, the proportion of students who have taken biology can be categorized into two groups: those who have taken biology and those who have not. This variable is categorical because it falls into distinct categories without a quantitative value attached to it. The goal is to determine the proportion or percentage of students within the university population who fall into each category, indicating the presence or absence of biology coursework.
To summarize, the variable being measured in this scenario is a categorical variable that represents the proportion of undergraduate students at a university who have taken biology.

Learn more about proportion here:

https://brainly.com/question/33460130

#SPJ11

Answer: 14.57

Step-by-step explanation:

.

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

Learn more about equivalence relation here:

https://brainly.com/question/14307463

#SPJ11

Using the given formula, y = b tanθ / 2, with b = 100ft and θ = 16°, (b) we find that the height of the triangle is 29.01 ft when θ = 16°.

The given function is y=50 tanθb, Where, θ = 16°, and the length of the base is 100ft. As we know, the length of the base, b is given by :b = 2y / tanθ

Therefore, y = b tanθ / 2. We have b = 100ft, and θ = 16°So, y = b tanθ / 2y = 100 tan16° / 2y = 29.01 ft

Therefore, the height of the triangle when θ = 16° is 29.01 ft. In this problem, the given function is y=50 tanθb and we are to find the height of the triangle when θ=16°.

Here, we are given that the architect reduces the length of the base of the triangle to 100ft, which means the value of b has changed, and it is now 100ft. With this information, we can solve the problem by first finding the value of y using the formula y = b tanθ / 2, where b = 100ft and θ = 16°.

We plug in these values and calculate y, which turns out to be 29.01ft. Therefore, the height of the triangle when θ = 16° is 29.01 ft.

For more questions on the triangle

https://brainly.com/question/1058720

#SPJ8

FINDING THE DIFFERENCE WE SUBRACT

\(8 - 4 \\ = 4\)

FINDING THE QUOTIENT WE DIVIDE

\(8 \div 4 \\ = 2\)

HOPE THIS HELPS

Answer:

You start with 18.000 gallons and want to know when you reach 6.000 gallons, with a daily use of 450 gallons. This means you need to know how many days it take to use 18.000 - 6.000 = 12.000 gallons. This can simply be calculated with 12.000/450, which gives 26 2/3 day

Step-by-step explanation:

The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.

A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).

Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.

To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

For more questions on verbal expressions, click on:

https://brainly.com/question/29977271

#SPJ8

These two triangles are congruent by angle angle side(AAS) congruency theorem.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure line segment AB is similar to line segment CD.

Angle E is congruent to angle D hence line segment AB is congruent to line segment BC.

So, These two triangles are congruent by angle angle side congruency theorem.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ1

After printing the long pdf Document of 47 pages , the remained balance in Fathi's printing account is -$4.90 ..

In mathematics, a basic algebraic operation is any of the common arithmetic operations, including addition, subtraction, multiplication, division, raising integers to powers, and taking square roots.

We have given that,

Total or initial balance of fathi's printing account

= $1.10

Each sheet of paper reduce his balance by $0.25..

Total number of pages in pdf document

= 47

He wants to print this pdf document.

When he print both sides of paper then it reduce the counts of paper used for printing the pdf.

That's if he print only one side then he will print 47 pages but now, he print on both sides .

so, total pages used to print pdf Document= 47/2

= 23 both sided printed + 1 one side printed = 24 pages

Using all provided details, we get

After Fathi print, the balance in his printing account = Initial balance - 24 × balance reduce by each page print

= $1.10 - 24 × $0.25 = $1.10 - $ 6

= - $4.90

Hence, - $4.90 balance in his printing account.

To learn more about Algebraic operation, refer:

https://brainly.com/question/10319012

#SPJ4

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

More about the percentage link is given below.

brainly.com/question/8011401

Answer:

B.

Step-by-step explanation:

$1811.70

A calendar grid can be drawn with accurate calibration on both the x-axis (horizontal) and y-axis (vertical) by representing the months or days of the week on the x-axis and the dates on the y-axis.

To create a calendar grid with accurate calibration, you can use a traditional monthly calendar layout. The x-axis represents the months or days of the week, while the y-axis represents the dates. For example, on the x-axis, you can label each column with the names of the months or the days of the week (e.g., Monday, Tuesday, etc.). This ensures that the horizontal axis represents the progression of time accurately.

On the y-axis, you can label each row with the corresponding dates for each month. The number of rows depends on the maximum number of days in a month. By using this grid layout, you can accurately represent the passage of time in a calendar format. It allows for easy tracking of dates, scheduling events, and organizing activities.

The calibrated x-axis and y-axis provide a clear visual representation of the chronological sequence of days and months, facilitating effective time management.

Learn more about sequence here:

https://brainly.com/question/30762797

#SPJ11

Answer:

27 cubic unit

Step-by-step explanation:

as 27 is the product of three dimensions 3×3×3

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

ANSWER

The other two zeros are

• 3 + 2i

• 3 - 2i

EXPLANATION

If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,

Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,

So f(x) is,

To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,

In this case a = 1, b = -6 and c = 13,

Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.

In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,

And solve the square root,

We can distribute the denominator into the sum/subtraction,

And we get that the other two zeros are,

This agrees with the complex conjugate root theorem, which states that

Hey there!

Question 1) Nope, this is not a function because our input, 0, had more than one output (0 and -1).

Question 2) The inputs of this relation are -2, 3, 1, 0. The outputs of this relation are 3, -2, 3, -2.

If this helps, please mark me as brainliest!

Have a wonderful day!

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

\(\displaystyle m=\frac{-1-7}{-3-1}\)

\(\displaystyle m=\frac{-8}{-4}\)

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

Answer:

1) 1    2) 3   3) 5  4)7

Step-by-step explanation:

In the question it gives you the formula 2n-1

n= number or term for example 1

2x1-1=1

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

\(x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15\)

#teamtrees #WAP (Water And Plant)

Answer:

35 slices originally

Step-by-step explanation:

1. 0.4 means 40%

2. if 14 slives equal 40% we need to divide by 4 to find 10%

3. 14 divided by 4 is 3.5

4. then we multiply 3.5 (10% of the cake) by 10 because 10•10=100(%)

3.5•10 equals 35 slices

Answer:

Step-by-step explanation:c

A swimming pool is 20.6m long, 8.5m broad, and has a water depth of 1.7m on average. The volume of water needed to fill the pool is 297.67 m³.

First we need to find the volume of the pool

length = 20.6

breadth = 8.5

height= 1.7

Volume of the pool = length × breadth × height

= 20.6 × 8.5 ×1.7

= 297.67 m³

volume of water needed to fill the pool = volume of the pool

= 297.67 m³

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI derived units (such as the cubic metre and litre) or other imperial or US customary measures (such as the gallon, quart, and cubic inch).

Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies.

To know more about volume:

https://brainly.com/question/16849411

#SPJ1

Answer: Complementary angles are pair angles with the sum of 90 degrees

Step-by-step explanation: When talking about complimentary angles, always remember that the angles appear in pairs. One angle is the complement of the other angle.

Hope this helps :)

Please mark me as Brainliest

Answer:

Step-by-step explanation: 347000 * 6.5% * 20%= 347000*0.065*0.2=4511

Answer is 4511

Answer:

$4,511

the agency makes 6.5% of 347000 which is 22,555 and the agent makes 20 percent of what the agency makes.

so 20% of 22,555 is 4511

\(answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps\)

The product of the given expression is;

B: 10x^(5) • y√(6xy)

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

√[(5x^(8) × 10x³) × (y² × 12y)]

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

Read more about Laws of exponents at; https://brainly.com/question/11761858

Answer:

Domain { -13,12,20 }

Step-by-step explanation:

The domain is the input values

Domain { -13,12,20 }

We list them in order from smallest to largest and do not list repeats