3. Harbour decided to go to the new coffee cart to get his friends coffee and hot chocolate. Each coffee costs $3 and each tea hot chocolate costs $2. Harbour spent $15 total, and bought 7 total drinks. How many coffees did Harbour buy? How many hot chocolates? Write the equations for the this situation. a. b. Using elimination, solve the system of equations you wrote in part (a).

help please!!​

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

Step-by-step explanation:

We will use the American definition of a billion. That's 1 * 10^9. Also, since we are just making things happen, we will say that we have a billion square miles.

Area = s^2

Area = 1 * 10^9

s^2 = 1 * 10^9                 Take the square root of both sides

sqrt(s^2) = sqrt(1 * 10^9)

s = 31622 miles.

Just how big is that?  It is smaller than the circumference of the earth.

Answer:

r=.57

Step-by-step explanation:

Answer:

arc CD = 160°

Step-by-step explanation:

The measures of the arcs on the circle = 360° , then

arc CD = 360 - AC - AD = 360 - 3x - 7x = 360 - 10x

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

The measure of the secant- tangent angle ABC is half the difference of the intercepted arcs, that is

\(\frac{1}{2}\) (7x - 3x) = 40 ( multiply both sides by 2 to clear the fraction )

7x - 3x = 80

4x = 80 ( divide both sides by 4 )

x = 20

Then

CD = 360 - 10x = 360 - 10(20) = 360 - 200 = 160°

Answer:

The answer is 7/24

Step-by-step explanation:

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

y=10

2×10=20-5=15

.......

Answer:

y=10

Step-by-step explanation:

15 = 2y - 5

add 5 to both sides

15 + 5 = 2y - 5 + 5

add the numbers

20 = 5y

divide

y = 10

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer: Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plan C is the least expensive plan, as it has the lowest subtotal of $48.00 plus 6.5% fees and taxes.

From the formula of Laplace transformation, the value of Laplace transform, F(s) or ℒ{cos(8t) U(t − π)} is equals to the \( e^{- πs}\frac{ s }{ s² + 64} \).

In mathematics, the Laplace transform F(s) is an integral transform that used to convert a real-valued function f(t)) or a differential equation into frequency or complex domain. First of all, we will use the standard result of the cosine function then we will use the frequency shifting property in order to realize the whole function's transform, f(t)⇌F(s)

We have a function, f(t) = cos(8t) and a = π

We have to determine the Laplace transform of function f(t) that is f(s) or ℒ{cos(8t) U(t −π)]. Now, using the above Laplace formula, the Laplace transform of f(t) is \(L{Cos(8t) }= \frac{ s }{ s² + 8²}\)

\(= \frac{ s }{ s² + 64}\)

Using the formula, \(L{f(t) U( t - a)} = e^{- as}F(s) \), where L{f(t) } = F(s)

So, \(L{cos(8t)U( t - π)} = e^{- πs}F(s) \)

\( = e^{- πs}\frac{ s }{ s² + 64} \)

Hence, required value is \( e^{- πs}\frac{ s }{ s² + 64} \).

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Complete question:

find f(s). ℒ{cos(8t) U(t − π)}

Answer:

2/3^-3 = 27/8 = 3 3/8 = 3.375

Step-by-step explanation:

A is the correct answer

Answer:

90 degree

Step-by-step explanation:

Answer:

\(\displaystyle \int\limits^{\frac{2 \pi}{3}}_{\frac{- \pi}{3}} {\frac{sinx}{1 + cosx}} \, dx = ln3\)

General Formulas and Concepts:

Pre-Calculus

Calculus

Derivatives

Derivative Notation

Trig Derivatives

Integrals

Integration Constant C

Integration Rule [Fundamental Theorem of Calculus 1]:                                        \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Integration Property [Multiplied Constant]:                                                             \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Trig Integration

Logarithmic Integration

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^{\frac{2 \pi}{3}}_{\frac{- \pi}{3}} {\frac{sinx}{1 + cosx}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6

Answer:

the dark blue equals to 2/6 or 1/3

Step-by-step explanation:

Answer:

x =27

Step-by-step explanation:

from Z angls rule  the agle (BDE) =72

and total angl on D =180

so, 2x +2x+72=180

4x = 180 -72

4x = 108 (divied both sides by 4)

x= 27

Answer:

I think x=27°

Step-by-step explanation:

Hope this helps!

The Surface area of the figure is 520 square centimeters

The figure is made up of rectangular prisms

The formula for calculating the surface area of rectangular prism is expressed as:

SA = 2(lw + wh + lh)

Surface area of the figure = 2(2(8) + 2(14) + 8(14)) +  2(6(8) + 6(4) + 8(4))

Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)

Surface area of the figure = 312 + 208

Surface area of the figure = 520 square centimeters

Hence the Surface area of the figure is 520 square centimeters

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Answer:

13, 8

Step-by-step explanation

13-5 is 8. 8 + 13= 21

Answer:

Rachel is 8 and Monica is 13

Step-by-step explanation:

8 + 13 = 21

Feel free to give brainliest.

Have a great day!

The solution to the system of equations is x = 11.5 and y = -27.5.

The solution to the system of equations is x = 2 and y = 1

The solution to the system of equations is x = -12 and y = 7.

The solution to the system of equations is x = 0.5 and y = -6.

A system of linear equations can be solved graphically, by substitution, by elimination, and by the use of matrices.

To solve the system of equations:

3x + y = 7

5x + 3y = -25

We can use the method of substitution or elimination to find the values of x and y.

Let's solve it using the method of substitution:

From the first equation, we can express y in terms of x:

y = 7 - 3x

Substitute this expression for y into the second equation:

5x + 3(7 - 3x) = -25

Simplify and solve for x:

5x + 21 - 9x = -25

-4x + 21 = -25

-4x = -25 - 21

-4x = -46

x = -46 / -4

x = 11.5

Substitute the value of x back into the first equation to find y:

3(11.5) + y = 7

34.5 + y = 7

y = 7 - 34.5

y = -27.5

Therefore, the solution to the system of equations is x = 11.5 and y = -27.5.

To solve the system of equations:

2x + y = 5

3x - 3y = 3

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 and the second equation by 2 to eliminate the y term:

6x + 3y = 15

6x - 6y = 6

Subtract the second equation from the first equation:

(6x + 3y) - (6x - 6y) = 15 - 6

6x + 3y - 6x + 6y = 9

9y = 9

y = 1

Substitute the value of y back into the first equation to find x:

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations:

2x + 3y = -3

x + 2y = 2

We can again use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express x in terms of y:

x = 2 - 2y

Substitute this expression for x into the first equation:

2(2 - 2y) + 3y = -3

Simplify and solve for y:

4 - 4y + 3y = -3

-y = -3 - 4

-y = -7

y = 7

Substitute the value of y back into the second equation to find x:

x + 2(7) = 2

x + 14 = 2

x = 2 - 14

x = -12

Therefore, the solution to the system of equations is x = -12 and y = 7.

To solve the system of equations:

2x - y = 7

6x - 3y = 14

Again, we can use the method of substitution or elimination.

Let's solve it using the method of elimination:

Multiply the first equation by 3 to eliminate the y term:

6x - 3y = 21

Subtract the second equation from the first equation:

(6x - 3y) - (6x - 3y) = 21 - 14

0 = 7

The resulting equation is 0 = 7, which is not possible.

Therefore, there is no solution to the system of equations. The two equations are inconsistent and do not intersect.

To solve the system of equations:

4x - y = 6

2x - y/2 = 4

We can use the method of substitution or elimination.

Let's solve it using the method of substitution:

From the second equation, we can express y in terms of x:

y = 8x - 8

Substitute this expression for y into the first equation:

4x - (8x - 8) = 6

Simplify and solve for x:

4x - 8x + 8 = 6

-4x + 8 = 6

-4x = 6 - 8

-4x = -2

x = -2 / -4

x = 0.5

Substitute the value of x back into the second equation to find y:

2(0.5) - y/2 = 4

1 - y/2 = 4

-y/2 = 4 - 1

-y/2 = 3

-y = 6

y = -6

Therefore, the solution to the system of equations is x = 0.5 and y = -6.

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Answer:

any number equal to or less than -4

Step-by-step explanation:

x - 1 < -4

< represents that -4 is a larger number than x - 1. we know that -4 is a negative number, so anything below -4 would be less. x = -4 would be a good solution, but the reality is that any number equal to or less than -4 is the correct answer. I hope this helps!

The 99% confidence interval to estimate the true proportion of the residents who shop monthly at the mall is 0.4 with a margin error of 0.059, that is (0.341, 0.459).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. So, it may be concluded that there is a 95% likelihood that the real value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.

The value of p is given as:

p = 180/450 = 0.4

To find the 99% of the confidence interval we use the following formula:

p ± z √p (1 - p)/ n

The value of z = 2.576 for 99% confidence interval.

Substituting the values:

0.4 ± 2.576 √0.4(1 - 0.4)/ 450

0.4 ± 2.576 (0.023)

0.4 + 0.059 and 0.4 - 0.059

0.459 and 0.341

Hence, the 99% confidence interval to estimate the true proportion of the residents who shop monthly at the mall is 0.4 with a margin error of 0.059, that is (0.341, 0.459).

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Answer:

It'll be 800,000 ejdjdjjdndjdhshz letter requirement

Answer:

X=4

Y=18

I think

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

y = - 2x - 4 → (1)

y = 4x + 2 → (2)

Substitute y = 4x + 2 into (1)

4x + 2 = - 2x - 4 ( add 2x to both sides )

6x + 2 = - 4 ( subtract 2 from both sides )

6x = - 6 ( divide both sides by 6 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

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

solution is (- 1, - 2 )

The coordinates of A' after reflecting point A across the line x = 3 are (3, -2).

To find the coordinates of point A' after reflecting point A across the line x = 3, we need to consider the line of reflection and apply the reflection transformation.

The line of reflection x = 3 is a vertical line passing through the x-coordinate 3. When reflecting a point across a vertical line, the x-coordinate remains the same, but the y-coordinate changes sign.

Given that point A has coordinates (3, 2), we can reflect it across the line x = 3 to find the coordinates of A'.

Since A lies on the line of reflection, its x-coordinate remains the same. Therefore, the x-coordinate of A' will also be 3.

For the y-coordinate of A', we need to negate the y-coordinate of A. So, the y-coordinate of A' will be -2.

Hence, the coordinates of A' after reflecting point A across the line x = 3 are (3, -2).

It's important to note that the other answer choices provided, (2, 3), (3, 4), and (3, -2), do not correspond to the reflection of point A across the line x = 3. Only (3, -2) is the correct answer, representing the reflected point A' after the transformation.

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Answer:

Step-by-step explanation:

The flat fee of $5 is what you will make from that sponsor whether you walk 1 mile or 200 miles. If you make $2 per mile and then number of miles you walk is the independent variable, the expression for that is 2x. The expression that describes this situation is

2x + 5

Answer:

5 + 2m

Step-by-step explanation:

total amount = flat fee + amount per mile

Let m = number of miles

total amount = 5 + 2m

The point (−1, −3) is a solution of the inequality y ≤ −|x| − 1. Therefore, option (c) is the correct answer.

The given inequality is y ≤ −|x| − 1.

To determine whether a point is a solution, we have to substitute the x- and y-coordinates of the point in the inequality and check whether the inequality holds true or not.

Now we'll substitute the given points in the inequality:

a) (0, 0)

Here x = 0 and y = 0.

We have to check if (0, 0) satisfies the inequality or not.

y ≤ −|x| − 1=> 0 ≤ −|0| − 1=> 0 ≤ −1 (This is not true)

Therefore, (0, 0) is not a solution.

b) (1, −1)Here x = 1 and y = −1. W

e have to check if (1, −1) satisfies the inequality or not.y ≤ −|x| − 1=> −1 ≤ −|1| − 1=> −1 ≤ −2 (This is not true)

Therefore, (1, −1) is not a solution.

c) (−1, −3)

Here x = −1 and y = −3.

We have to check if (−1, −3) satisfies the inequality or not. y ≤ −|x| − 1=> −3 ≤ −|−1| − 1=> −3 ≤ −2Therefore, (−1, −3) is a solution.

The point (−1, −3) is a solution of the inequality y ≤ −|x| − 1. Therefore, option (c) is the correct answer.

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Answer:

90 hours of training would you need to pay

Answer:

90hours

Step-by-step explanation:

Addition of 10 hours= Addition of 150$

an=a+(n-1)d

2450=1250+(n-1)(150)

120/15=n-1

8+1=n

n=9

and 9x10=90 (each n=10hours)

Thus:

B. 90 hours

Brianliest please

Answer: $130

Step-by-step explanation:

Answer:

£111

Step-by-step explanation:

i tried it, its right