Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.

Accοrding tο the given infοrmatiοn, the vaIue οf x is \(8\sqrt{(3)\) units

In this prοbIem, we are given a circIe with center C and radius 12. We extend the radius by a distance οf x tο pοint A, and draw a Iine frοm A tο a pοint M οn the circIe such that AM = 16. We then extend Iine segment AM by a distance οf 16 tο pοint B, and jοin B tο C tο fοrm triangIe ABC. We are asked tο find the vaIue οf x.

Let N be the midpοint οf Iine segment AM. Since CN is perpendicuIar tο AM, and Iine segment AM is tangent tο the circIe at M, we have that CN bisects Iine segment AM. Therefοre, AN = NM = 8.

Let D be the pοint οf intersectiοn οf Iine segment BC with the Iine passing thrοugh A and N. Since CN is paraIIeI tο Iine segment BC, we have that triangIe ABD is simiIar tο triangIe ABC, and we can write the fοIIοwing ratiοs:

AB/AC = BD/BC

Substituting the given Iengths, we have:

(16 + 8 + x)/24 = BD/(2*12)

SimpIifying, we get:

(24 + x)/24 = BD/24

SοIving fοr BD, we get:

BD = 24 + x

Nοw, nοte that triangIe AMD is a right triangIe with hypοtenuse AM and Iegs AN and NM. Therefοre, by the Pythagοrean theοrem, we have:

\(AM^2 = AN^2 + NM^2\)

Substituting the given vaIues, we get:

\(16^2 = 8^2 + x^2\)

SοIving fοr x, we get:

\(x^2 = 16^2 - 8^2 = 192\)

Therefοre,\(x = \sqrt{(192)} = 8\sqrt{(3).\)

Substituting this vaIue οf x intο οur equatiοn fοr BD, we get:

\(BD = 24 + 8\sqrt{(3)\)

Therefοre, the vaIue οf x is \(8\sqrt{(3)\)units, and BD is \(24 + 8\sqrt{(3)\) units.

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Answer:

1.15 is 115%

Step-by-step explanation:

7/8 is 0.875 so it makes it 87.5%

The percentage form of the given number is:

1.15 as a percent is 115%

7/8 as a percent is 187.5%

To convert a decimal to a percent,

we need to multiply it by 100.

So for 1.15,

Multiply it by 100 to get 115%.

To convert a mixed number to a percent,

We have to convert it to an improper fraction first.

To do that, we multiply the denominator by the whole number and add the numerator.

Then we put that answer over the original denominator.

For 7/8, the improper fraction would be,

(8 x 1) + 7 = 15/8.

To convert this to a percentage,

We need to divide the numerator by the denominator and multiply by 100.

So 15/8 as a decimal is 1.875, and when we multiply that by 100 we get 187.5%.

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The equation 21 = 7 + x can be solved using the model y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The solution is x = 5.67.

To find a solution of the equation 21 = 7 + x using the model from problem 4a, we can use the fact that the equation is of the form y = mx + b, where y is the dependent variable (in this case, 21), x is the independent variable (the variable we are solving for), m is the slope, and b is the y-intercept.

From problem 4a, we know that the slope is 3 (since for every 1 unit increase in x, y increases by 3) and the y-intercept is 4 (since the line intersects the y-axis at y = 4).

So we can rewrite the equation 21 = 7 + x as y = mx + b, with y = 21, m = 3, and b = 4, and solve for x.

21 = 3x + 4

17 = 3x

x = 5.67

Therefore, the solution to the equation 21 = 7 + x is x = 5.67.

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Answer:

Your search - х у у у O 0 4 -2 -0.4 0.5 7.5 - 2 5 O -2 SLOPE AND RATE OF 15 O 5 -6 6 7 1.5 22.5 9 1.9.2 N N 30 4 8 10 -10 - did not match any image results.

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Based on simulation, the estimated probability that the profit per unit will be less than $4 is 31.6%.

To estimate the probability, we can simulate the profit per unit using a random number generator with a normal distribution based on the given mean and standard deviation. We can then count the number of times the simulated profit per unit is less than $4 and divide by the total number of simulations to get the estimated probability. By repeating the simulation multiple times and taking the average, we can increase the accuracy of the estimate. In this case, the simulation result suggests that there is a significant chance that the project may not be sustainable if the profit per unit is less than $4.

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The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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Answer:

Step-by-step explanation:

B. Because adding 2 moves you to the left when inside the parentheses.

Step-by-step explanation:

one side.

as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.

the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.

so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.

Answer:

20

Step-by-step explanation:

If no chips are bought, then:

0.5x + 0.75(0) = 10

0.5x = 10

x = 20

Stock B will cost $325.00 more than Stock A at the end of 4 years.

Given that Stock A doubles in price by the end of every year, while Stock B triples in price by the end of every year.

If they both start off at $5.00, we need to determine how much more will Stock B cost than Stock A at the end of 4 years. We need to determine how much more Stock B will cost than Stock A at the end of 4 years if they both start off at $5.00.

Solution: We can represent the price of Stock A and Stock B at the end of the 4th year as:

Price of Stock A = $5.00 × 2 × 2 × 2 × 2 = $80.00

Price of Stock B = $5.00 × 3 × 3 × 3 × 3 = $405.00

The difference in the price of Stock B and Stock A at the end of the 4th year is:

Price of Stock B - Price of Stock A = $405.00 - $80.00 = $325.00

Stock B will cost $325.00 more than Stock A at the end of 4 years.

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Answer:There are two cases to consider: a hand that consists of all red cards and a hand that consists of all black cards.

Case 1: All red cards

There are 26 red cards in a standard deck of 52 cards. To form a 5-card hand consisting of all red cards, we need to choose 5 cards from the 26 red cards. The number of ways to do this is:

C(26, 5) = (26!)/(5!21!) = 65,780

Case 2: All black cards

Similar to the first case, there are 26 black cards in a standard deck of 52 cards. To form a 5-card hand consisting of all black cards, we need to choose 5 cards from the 26 black cards. The number of ways to do this is:

C(26, 5) = (26!)/(5!21!) = 65,780

Therefore, the total number of hands that include all red cards or all black cards is the sum of the two cases:

65,780 + 65,780 = 131,560

So there are 131,560 hands that consist of either all red cards or all black cards.

Step-by-step explanation:

Answer:

\(y = 9\)

Step-by-step explanation:

1) Add 3 to both sides.

\(3y = 2y + 6 + 3\)

2) Simplify 2y + 6 + 3 to 2y + 9.

\(3y = 2y + 9\)

3) Subtract 2y from both sides.

\(3y - 2y = 9\)

4) Simplify 3y - 2y to y.

\(y = 9\)

Therefor, the answer is y = 9.

Answer:

3y-3=2y+6

3y-2y=3+6 (You will group like terms)

therefore,y=9

Answer:

2 1/6 ft = 26 in

3 3/4 ft = 1 1/4 yrd

2 1/2 c = 1 1/4 p

3 2/3 yrs = 44 months

Step-by-step explanation:

Conversion:

ft to in = ft x 12

ft to yards = ft / 3

c to pints = c/2

yrs to months =  y x 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

26 in, 1 1/4 yd, 1 1/4 pt, 44 months

Step-by-step explanation:

1ft=12in

12• 2 1/6=26in

3ft=1yd

3 3/4 ÷3= 1 1/4yd

2c=1pt

2 1/2 ÷ 2=1 1/4 pt

12months =1 year

3 2/3 • 12 = 44 months

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

The price of a gallon of milk relative to a pound of butter is 1.25.

The price of a loaf of bread relative to a gallon of milk can be calculated by finding the ratio of the price of a loaf of bread to the price of a gallon of milk.

This ratio can be calculated as follows:

Price of loaf of bread / Price of gallon of milk

= $1.50 / $3.00

= 0.5

Therefore, the price of a loaf of bread relative to a gallon of milk is 0.5.

The price of a gallon of milk relative to a pound of butter can also be calculated by finding the ratio of the price of a gallon of milk to the price of a pound of butter.

This ratio can be calculated as follows:

Price of gallon of milk / Price of pound of butter

= $3.00 / $2.40

= 1.25

Therefore, the price of a gallon of milk relative to a pound of butter is 1.25.

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Jamie should accept the second option to buy a new refrigerator for his apartment.

What is the Annual Interest?

The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.

The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.

Option 1:

The annual interest rate for the first card = $1300 x 16.5%

The annual interest rate = $214.5

The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.

The monthly finance charge

= 1300 x 0.165/12

The monthly finance charge = $17.88

Now, The minimum monthly payment is 100 + 17.88

The minimum monthly payment for the first month = $117.88

In 12 months, Jamie would have paid off the loan with an additional interest of $214.5

Total amount paid = (117.88 x 12) + 247.5

= $1629.06

Option 2.

The appliance store offers an installment loan;

Using;

S.I. = PRT / 100

Since the loan must be paid in 12 equal payments; we can say the loan is paid monthly which is equivalent to 1 year.

i.e., Time(T) = 1 year

S.I. = 1300 x 12.5 x 1 / 100

The down payment = $300

In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.

Thus, In 12 equal payment times,

Jamie gets to pay = $1000/12

Jamie gets to pay = $ 83.33 each time .

Total amount paid = $162.5 + 1300

Total amount paid = $1462.5

Therefore, we can conclude that Jamie should accept the second option

to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.

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The real part of -81 - 3j is -81, and the imaginary part is -3.

||-3w|| is approximately equal to √6570.

To find ||-3w||, we need to calculate the magnitude (or length) of the vector -3w.

Given that w = 27 + j, we can find -3w by multiplying w by -3:

-3w = -3(27 + j)

    = -81 - 3j

To find the magnitude of -3w, we use the formula:

||z|| = √(Re(z)² + Im(z)²)

In this formula, Re(z) represents the real part of z, and Im(z) represents the imaginary part of z.

Applying this formula to -3w, we have:

||-3w|| = √(Re(-81 - 3j)² + Im(-81 - 3j)²)

We can simplify this expression by evaluating the real and imaginary parts separately.

The real part of -81 - 3j is -81, and the imaginary part is -3.

Plugging these values into the formula, we have:

||-3w|| = √((-81)² + (-3)²)

        = √(6561 + 9)

        = √6570

Therefore, ||-3w|| is approximately equal to √6570.

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The sum to infinity of the function is -3/2

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

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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The general solution to the given system of differential equations is:

x₁ = (C₂)\(e^{-3t}\)

x₂ = (C₂)\(e^{-3t}\) - (1/2)(C₂²)\(e^{-6t}\)+ C₁

where C₁ and C₂ are arbitrary constants.

We have the following system of differential equations:

x₁' = x₁ + x₂'

x₂' = 4x₁ + x₂

To decouple this system, we'll aim to isolate one variable in each equation. Let's start by isolating x₂' in the first equation:

x₁' - x₂' = x₁

x₂' = x₁' - x₁

Now, let's substitute this expression for x₂' into the second equation:

x₁' - x₁ = 4x₁ + x₁'

0 = 3x₁ + x₁'

Next, we can rewrite this equation by swapping the positions of the derivatives:

x₁' + 3x₁ = 0

Now we have decoupled the system into two separate equations:

x₂' = x₁' - x₁

x₁' + 3x₁ = 0

To solve the first equation, we can integrate both sides with respect to the independent variable, let's say t:

∫x₂' dt = ∫(x₁' - x₁) dt

x₂ = x₁ - ∫x₁ dt

x₂ = x₁ - ∫x₁ dt = x₁ - ∫x₁ dx₁/dt dt

Now, we integrate with respect to x₁:

x₂ = x₁ - ∫x₁ dx₁

Integrating x₁ with respect to itself yields:

x₂ = x₁ - (1/2)x₁² + C₁

where C₁ is the constant of integration.

Moving on to the second equation, we have a first-order linear homogeneous differential equation:

x₁' + 3x₁ = 0

The general solution to this type of equation can be obtained by integrating factor method. The integrating factor is \(e^{3t}\). Multiplying both sides of the equation by this integrating factor, we get:

\(e^{3t}\)x₁' + 3\(e^{3t}\)x₁ = 0

Now, we can rewrite the left-hand side as the derivative of the product:

(\(e^{3t}\)x₁)' = 0

Integrating both sides with respect to t, we have:

∫(\(e^{3t}\)x₁)' dt = ∫0 dt

\(e^{3t}\)x₁ = C₂

where C₂ is another constant of integration.

Finally, we can solve for x₁:

x₁ = (C₂)\(e^{-3t}\)

Substituting this back into the expression for x₂, we have:

x₂ = (C₂)\(e^{-3t}\)- (1/2)(C₂²)\(e^{-6t}\)+ C₁

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The diagonal of a room measuring 5 ft and 12 ft along the walls should be 14.6 ft.

The diagonal of the room can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse would be the diagonal, the other two sides would be 5 ft and 12 ft.

Thus, the equation would be: a² + b² = c², with a = 5 ft, b = 12 ft, c = 14.6 ft.

The calculation for this equation is as follows:

5² + 12² = c²; 25 + 144 = c²; 169 = c²; √169 = c; c = 14.6 ft.

This means that the diagonal of a room measuring 5 ft and 12 ft along the walls is 14.6 ft.

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False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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Answer:

I think positive

Step-by-step explanation:

Answer:

zero, D

Step-by-step explanation:

a horizontal line (left to right) would be zero

a verticle line (up and down) would be undifined

The r function that the data analyst can use to do this automatically is the clean names function.

When it comes to data manipulation, R is an excellent tool. It enables the use of several preprocessed packages, making data manipulation much easier.

Janitor's clean names() function will make all of your variable names consistent in a single line of code.

In R, a data analyst is cleaning up their data. To avoid errors in their analysis, they want to ensure that their column names are unique and consistent. What R function can they use to automate this? The clean names() function will ensure that column names are both unique and consistent.

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Answer:

32.1

Step-by-step explanation:

You add the code chunk arrange(bill_length_mm) to sort the column bill_length_mm in ascending order. The correct code is penguins %>% arrange(bill_length_mm). Inside the parentheses of the arrange() function is the name of the variable you want to sort. The code returns a tibble that displays the data for bill_length_mm from shortest to longest. The shortest bill length is 32.1mm.

Answer:

x: represents the number of reward miles

traded in and is always an integer value.

f(x): represents the value of the reward in

dollars.

Tristan and Delaney are tasked with testing

the system and made the following reward

redemptions.

• Tristan traded in 1500 miles for a $290

At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

The given polynomial expression:

y = 2x³ + x² - 7x - 6

The zeros of a polynomial equation are the values of x at which the given function equals zero.

The first zero of the given function is at x = 2;

f(2) = 2(2)³  + (2)²  - 7(2)  - 6

     = 16   +  4  - 14  - 6

     = 20   -    20  =  0

The second zero of the given function is at x = -1;

f(-1)  = 2(-1)³  + (-1)²   - 7(-1)   -   6

      = -2    +   1   +   7   -  6

      = - 8  +  8 =  0

The third zero of the given function is at x = -1.5;

f(-1.5)  = 2(-1.5)³   +  (-1.5)²   -  7(-1.5)   -  6

          = - 6.75    +  2.25   + 10.5    -  6

          = - 12.75  + 12.75  = 0

The zeros of the given function include;

----(-1.5)-------(-1)------------------------------(2)--------

Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

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Answer:

i believe it is 30 per hour

Step-by-step explanation:

8 divded by 60 = 7.5 x 4= 30