miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which Inequalities can represent this situation if m is the number of songs he can buy? Select two options.

The length of the given building is equal to 186ft

To calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.

The ratio of the height to the shadow is 6:8

Or we can simply set it out as an equation, cross multiply and solve.

\(height = shadow length\)

Let's use this system to solve

\(height = shadow length\\6ft = 8ft\\x = 248\\\)

We can cross multiply here and solve for x

\(x = \frac{6 * 248}{8}\\x = 186ft\)

The height of the building is 186ft

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Answer:

46 minutes

Step-by-step explanation:

Sorry about not answering your question sooner, but here is your answer:

In order to get the answer, we have to subtract the original amount of money on the phone card by the amount left ver after the call:

15 - 6.72 = 8.28

Then, we divide this number by 0.18:

8.28 / 0.18 = 46

So, Tammy's call lasted 46 minutes

Hope this helps :)

35 quarters. 87.50 dimes

Instructor Tiny and the 14 TAs of an online course are having lunch at a round table. Two seatings are the same when everybody has the same left neighbor and the same right neighbor.

The task is to find the number of possible seatings such that two of the TAs, Biggie and Tupac, do not sit next to each other.The total number of seatings that can be arranged with 16 people is 15! (15 factorial) ways. However, this includes the seatings where Biggie and Tupac sit next to each other. Let's count the seatings where Biggie and Tupac sit together: We consider Biggie and Tupac as a single block of two people. So, we arrange the 15 blocks of two people and the remaining 14 people in a line. However, we can arrange the two people in the block in two ways, so we need to multiply by 2.

Therefore, there are 2 × 15! seatings where Biggie and Tupac sit together. Now, let's count the total number of seatings where Biggie and Tupac do not sit next to each other: Let's first seat the remaining 14 people in 14! ways. Now, we need to insert Biggie and Tupac so that they don't sit together. We can think of the 14 people as 15 slots where we can insert the block of Biggie and Tupac.  The left neighbor of Biggie can sit in 14 ways and similarly, the left neighbor of Tupac can sit in 14 ways. Therefore, the total number of seatings in which Biggie and Tupac do not sit next to each other is 14 × 14 × 14 × 14! ways.Hence, the long answer is that the number of seatings that are possible such that two of the TAs, Biggie and Tupac, do not sit next to each other is given by:15! - 2 × 14 × 14 × 14 × 14!15! - 2 × 14! × 14²

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Answer:

Step-by-step explanation:

To turn a decimal into a percent, move the decimal point over 2 spaces.

7.3 = 0.073%

Step-by-step explanation:

\(1 + 1 - 4 = - 2\)

• who is Teeny ?

= informal extremely small.

• what's the Equivalent Expression ?

= 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.

\(\huge{\underline{\underline{\boxed{\sf{\green{Question:-}}}}}}\)

\(\large\huge\green{\sf{Answer:-}}\)

= a very small;

e.g:-

3(x + y) is equivalent to 3x + 3y.

The equation x - 3 = 2 when evaluated is x = 5

From the question, we have the following parameters that can be used in our computation:

x - 3 equal to 2.

Express the equation properly

So, we have the following representation

x - 3 = 2

Add 3 to both sides of the equation

This gives

x - 3 + 3 = 2 + 3

Evaluate the like terms

x = 5

Hence, the solution is x = 5

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Complete question

What is x - 3 equal to 2.

Evaluate

Answer:

#1 = -2

Step-by-step explanation:

First, we need to make -2 2/3 an improper fraction. An improper fraction is a fraction whose numerator is bigger than its denominator.

you first multiply the whole number (ignoring the negative sign for now) by the denominator:

2*3=6

then you add the numerator:

6+2=8

finally you put that number over the denominator and then put the negative sign back:

-8/3

Next, you can use keep change flip to solve the division

You keep the first fraction, change the division sign to a multiplication sign, and flip the numerator and the denominator of the second fraction:

-8/3 divided by 4/3 becomes -8/3 x 3/4

finally you multiply across as you would normally and simplify

-8/3 x 3/4= -24/12

-24/12 simplified is -2

:D

if you need help with the rest just comment on this response and I'll try to answer as soon as I can

Answer:

32/196

Step-by-step explanation:

After doing equivalent fraction operation 5th time on 1/6 we got the result, 6/36

Equivalent fraction is the process in which we write, same fraction in the form of different fraction. We multiply and divide a given fraction by a common number to make it equivalent to a given number.

Given fraction,

1/6

Now, we need to calculate 5th equivalent fraction

first,  by doing multiplication and division of 2,

1×2/6×2 = 2/12

second,  by doing multiplication and division of 3,

1×3/6×3 = 3/18

Similarly, Till 5th  equivalent

1×6/6×6 = 6/36

Hence, 5th equivalent fraction is 6/36

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Answer:

16 = 3x

Step-by-step explanation:

We are here given a equilateral triangle in which each side length measure is " x " .

By perimeter we mean the sum of all the side lengths of the figure.

By question , we have each side length as x ,

So its perimeter would be ,

x + x + x = 3x

But it is given that the perimeter is 16in . So they must be equal .

Hence our required equation is ,

16 = 3x

and if we want to solve out for x , divide both the sides by 3 ,

x = 16/3

and we are done!

An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.

An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.

Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.

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Answer:

or

0.333333

Step-by-step explanation:

8^x = 2

whats the value of x?

8^x = 2

log(8^x) = log(2)

x * (log(8)) = log(2)

x = (log(2))/(log(8))

x = 0.333333 or 1/3

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

check

\(8^{1/3}\) = 2

2 = 2

the answer is good

a) Since the eigenvalues have to be entered in increasing order, the required list is\({-1,-1,-1,1-3^(1/2)i,1+3^(1/2)i}\)

(b) a = 1

(c) b = 1

Given that the matrix A has the characteristic polynomial:

    (A + 1)³ (a λ + λ²+ b) for some a, b = R.

And, the trace of A is 4 and the determinant of A is -6.

To find: All the eigenvalues of A.

Solution:

Trace of a matrix = Sum of all the diagonal elements of a matrix.

=> Trace of matrix A = λ1 + λ2 + λ3,

  where λ1, λ2, λ3 are the eigenvalues of matrix A.

=> 4 = λ1 + λ2 + λ3 ...(1)

Determinant of a 3 × 3 matrix is given by:

|A| = λ1 λ2 λ3  

    = -6

From the characteristic polynomial, the eigenvalues are -1, -1, -1, -a, -b/λ.

As -1 is an eigenvalue of multiplicity 3, this means that

λ1 = -1

λ2 = -1

λ3 = -1.

The product of eigenvalues is equal to the determinant of the matrix A.

=> λ1 λ2 λ3 = -1 × -1 × -1

                 = -1

So,

     -a × (-b/λ) = -1

=> a = -b/λ ....(2)

Substitute λ = -1 in (2), we get

              a = b

We know, eigenvalues of a matrix are the roots of the characteristic equation of the matrix.

=> Characteristic polynomial = det(A - λ I)

where, I is the identity matrix of order 3.

|A - λ I| = [(A + I)³][(λ² + a λ + b)]

Putting λ = -1|A - (-1) I|

              = [(A + I)³][(1 + a - b)]

Now, |A - (-1) I| = det(A + I)

                       = (-1)³ det(A - (-1) I)

                        = -det(A + I)

                        = - [(A + I)³][(1 + a - b)]|A - (-1) I|

                        = -[(A + I)³][(a - b - 1)]

We know that the product of eigenvalues is equal to the determinant of matrix A.

=> λ1 λ2 λ3 = -6

=> (-1)³ (-a) (-b/λ) = -6

=> a b = -6

Thus, from equations (1) and (2), we have

a = 1.

b = 1.

Therefore, the characteristic polynomial is (λ + 1)³(λ² + λ + 1).

Hence, the eigenvalues of the matrix A are -1, -1, -1, (1 ± √3 i)

Since the eigenvalues have to be entered in increasing order, the required list is\({-1,-1,-1,1-3^(1/2)i,1+3^(1/2)i}\)

Answer: (a) Eigenvalues of A =\({-1,-1,-1,1-3^(1/2)i,1+3^(1/2)i}\)

              (b) a = 1 (c) b = 1

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We can write the integral of f(x) as the sum of the integral of the even component, e(x), and the integral of the odd component, o(x). This gives us the following equation:  ∫f(x)dx = ∫e(x)dx + ∫o(x)dx

Integrals can be written as the sum of the integral of an odd function and the integral of an even function. This is because any function can be broken down into its even and odd components. Even functions are those that remain unchanged when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the same as the result for its negative. Odd functions are those that change sign when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the negative of the result for its negative.

The integral of an even function is the same regardless of whether it is written as the sum of the integral of an odd function and the integral of an even function, or if it is written just as an integral of the even function. The integral of an odd function is the negative of the integral of the even function when written as the sum of the two integrals.

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The bonus question asks for the application of the integral test to determine the convergence of the series given by 2n*e^(-a).

The integral test is a method used to determine the convergence or divergence of a series by comparing it to the integral of a related function. In this case, we are given the series 2n*e^(-a), and we can use the integral test because the terms of the series involve the variable 'n', and the function e^(-a) can be integrated.

To apply the integral test, we consider the integral of the function corresponding to the series. In this case, we integrate the function f(x) = 2x*e^(-a) from 1 to infinity. If this integral converges, then the series is also convergent. Conversely, if the integral diverges, then the series is divergent.

By evaluating the integral of f(x) and analyzing its convergence or divergence, we can determine whether the given series 2n*e^(-a) converges or diverges. Showing all the steps in evaluating the integral and discussing the convergence properties of the resulting integral will be necessary to receive full credit for this question.

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Answer:

C

Step-by-step explanation:

We start too shrink slowly or just stop growing at a certain age

The annual financial advantage (disadvantage) for the company of eliminating the department would be ($16,000).

To calculate the annual financial advantage or disadvantage of eliminating the department, we need to consider the contribution margin and the fixed costs. In this case, the department has an interest contribution margin of $32,000 and $64,000 in annual fixed costs. However, $16,000 of the fixed costs cannot be avoided, meaning they will still be incurred even if the department is eliminated. By eliminating the department, the company will save the remaining fixed costs, which is $64,000 - $16,000 = $48,000. However, since the department has a positive contribution margin of $32,000, the company will lose that contribution if the department is eliminated.

Therefore, the annual financial advantage (disadvantage) of eliminating the department can be calculated as the difference between the savings in fixed costs and the lost contribution margin: $48,000 - $32,000 = ($16,000).

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The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

B

Step-by-step explanation:

in a 30,60,90 triangle the longer leg is rt3 times the value of the shorter leg and the hypotenuse is 2 times greater than the shorter leg.

1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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The experimental probability of getting a cinnamon jelly bean is P = 2/11

Suppose that we have an experiment with some given number of outputs, and we perform that experiment N times.

The experimental probability of a given outcome is equal to the quotient between the number of times that we got that outcome and the total number of times we performed the experiment.

Here we have the data:

root beer = 5

licorice = 22

cinnamon = 6

For a total of 5 + 22 + 6 = 33 tries.

Then the probability of getting a cinnamon jelly bean is:

P = 6/33 = 2/11

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Answer:

Hange-san is a big fan of you :) She wants you to help her with her titan experiments! :)

Step-by-step explanation:

Step-by-step explanation:

m = number of math books

s = number of science books

h = number of history books

m + h + s = 3s

m + h = 2s

s = m - 6

m + h = 2(m - 6) = 2m - 12

h = m - 12

and since s = m - 6, this also means

h = s - 6

that means, the number of History reference books is 12 less than the Mathematics reference books. which is then 6 less than the number of Science reference books.

Using compound interest formula, the the amount after 5 years is  $15,095.39

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore,

\(A = p(1 +\frac{r}{n} )^{nt}\)

where

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

\(A = p(1 +\frac{r}{n} )^{nt}\)

\(A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}\)

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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Step-by-step explanation:

your answer would be the second light blue one

(2h+1)(h+3) x=-1/2,-5

Answer:

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point

Answer:

163.51875 rounded would be 163.52

Step-by-step explanation:

Answer:

24+4x

Step-by-step explanation:

4(6)= 24

4(x)= 4x

the value of y is -1

The rotation of the triangle is 90° counterclockwise

Given data ,

Let the coordinates of the triangle be A ( -4 , -4 ) , B ( 3 , -3 ) , C ( 0 , -10 )

Let the coordinates of the rotated be A' ( 4 , -4 ) , B' ( 3 , 3 ) and C' ( 10 , 0 )

And , 90° counterclockwise rotation: (x,y) becomes (-y,x)

Therefore , the rotation is 90° counterclockwise

Hence , the triangle is rotated by 90° counterclockwise

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