what is the answer to 35-2a solve for A

As Andre started with $15 and deposits $5 per week, the equation for Andre's savings can be expressed as: y = 5x + 15.

To write the equation for Andre's financial savings, we are able to use the records that he began with $15 and deposits $five in step with week. Let's denote the quantity of weeks as x and Andre's financial savings as y.

Since he deposits $five in step with week, the equation for Andre's savings can be expressed as:

y = 5x + 15

Now, allow's graph Andre's financial savings equation along Noah's equation, y = 7.5x + 2.Five, to see their financial savings over the years.

Regarding the intersection factor of the 2 graphs, it represents the week(s) when Andre and Noah will have the same quantity of financial savings. In other words, it's the point in which their savings grow to be same.

Thus, by locating the x-coordinate of the intersection point, we can decide the range of weeks it's going to take for Andre and Noah to have the same amount saved.

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Your question seems incomplete, the probable complete question is:

Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.

Write the equation for Andre's savings and graph it alongside Noah's. What does the intersection point mean in this situation?

The polar equation θ = 2π/3 can be converted to rectangular form as x = -1/2 and y = √3/2. The graph of this equation is a single point located at (-1/2, √3/2) in the Cartesian coordinate system.

To convert the polar equation θ = 2π/3 to rectangular form, we can use the relationships between polar and rectangular coordinates. In polar coordinates, θ represents the angle measured counterclockwise from the positive x-axis, while in rectangular coordinates, x and y represent the Cartesian coordinates.

The given equation, θ = 2π/3, implies that the angle θ is constant and equal to 2π/3 for all points. To convert this to rectangular form, we can use the trigonometric identities: x = r cos θ and y = r sin θ.

Since θ is constant, we can choose any value for r. Let's choose r = 1. Plugging in these values into the trigonometric identities, we have x = cos(2π/3) = -1/2 and y = sin(2π/3) = √3/2.

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Answer:

100 square meters

Step-by-step explanation:

\( {x}^{2} + 6x + 8x = 240\)

\( {x}^{2} + 14x = 240\)

\( {x}^{2} + 14x - 240 = 0\)

\((x - 10)(x + 24) = 0\)

\(x = 10\)

x = -24 will not work (it is extraneous).

\( {x}^{2} = 100\)

So the area of the square region is 100 square meters.

Let:

x = number of dimes

y = number of quarters

She collected a total of 122 coins, so:

and a total of 21.50, so:

Let:

From (1):

Replace (3) into (2):

Replace the value of y into (3):

She collected 60 dimes and 62 quarters

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

Using Horner's algorithm, it is found that p(4) = 946.

Horner's algorithm is a method used to evaluate a polynomial at a given value of x. It simplifies the process of calculating the value of the polynomial by reducing the number of calculations needed. To use Horner's algorithm to find p(4), where p(z) = 3z^5 – 7z^4 – 5z^3+z^2- 8z +2, follow these steps:

p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2
p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2

p(4) = 3(1024) – 7(256)– 5(64) + 16 - 32 +2

p(z) = 3072– 1792 – 320 + 16 - 30

p(z) = 1280 – 320 - 14

p(z) = 960 - 14

p(z) = 946

Therefore, p(4) = 946.

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The value of x for the given expression is found as 2189/3.

The stated expression is-

3x − 2 = 3^7

Obtain the value of 3^7 by solving its power.

3x − 2 = 2187

(3x − 2) + 2  = 2187 + 2

3x − 2 + 2  = 2189

3x  = 2189

3x / 3  = 2189 / 3

x = 2189/3

Thus, the value of x for the given expression is found as 2189/3.

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The correct question is-

Solve 3x − 2 = 3^7 and find the value of x.

The absolute value function which will be narrower than  the parent function is:

f(x) = 2.9|x|

Given parent function is f(x)=|x|

Now we have to find which function from given choices will be narrower than the parent function.

Notice that adding or subtracting some number from the parenth function only shifts the graph up, down, left of right side.

But that will not make function narrorwer or broader.

So f(x) = |x – 2| and  f(x) = |x| + 3, can't be the answer.

Multiplying by some positive real number which is more than 1, makes function narrower.

Only f(x) = 2.9|x| from remaining choices fits that case.

Hence f(x) = 2.9|x| is the final answer.

f(x) = 1.2|x + 8|  will also make the function narrower but will shift the parent function too.

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Yes, the statement "if x is rational and y is irrational, then x + y is irrational" is true.

To understand why, let's break it down step by step:

1. First, let's define what it means for a number to be rational or irrational:
  - A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.
  - An irrational number is a number that cannot be expressed as the ratio of two integers.

2. Given that x is rational and y is irrational, we can express x and y as follows:
  - x = a/b, where a and b are integers and b is not zero.
  - y = c, where c is an irrational number.

3. Now, let's consider the sum x + y:
  - x + y = (a/b) + c

4. To prove that x + y is irrational, we'll assume the contrary, that is, x + y is rational. This means we can express x + y as the ratio of two integers:
  - x + y = p/q, where p and q are integers and q is not zero.

5. We can rewrite this equation as follows:
  - (a/b) + c = p/q

6. Rearranging the equation, we get:
  - (a/b) = (p/q) - c

7. Since (p/q) is a rational number and c is an irrational number, the right side of the equation (p/q) - c would be the difference between a rational and an irrational number.

8. However, the difference between a rational number and an irrational number is always irrational. Therefore, the right side of the equation is irrational.

9. This contradicts our assumption that (a/b) is rational, leading us to conclude that x + y must be irrational.

In conclusion, if x is rational and y is irrational, then x + y is always irrational.

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13 units is the distance between points.

Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

The first one: \(2^{2}\) x 5 = 4 x 5 = 20

The second one: \(11^{1}\)= 11

The third: \(8^{2}\)-60 = 64 - 60 = 4

Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be \(8^{2}\)-60,  \(11^{1}\),  \(2^{2}\) x 5

Hope it helped, good luck!!

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Answer:

Area of the triangle WXY = 365.3 mm²

Step-by-step explanation:

By applying Sine rule in the given triangle XYW,

\(\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{YW}}\)

\(\frac{\text{Sin70}}{\text{WX}}=\frac{\text{Sin43}}{\text{24}}\)

WX = \(\frac{24.\text{Sin70}}{\text{Sin43}}\)

      = 33.068 mm

      = 33.07 mm

Area of a triangle = \(\frac{1}{2}a.b.\text{Sin}\theta\)

where a and b are the sides of the triangle and θ is the angle between the sides a and b.

Area = \(\frac{1}{2}(33.07)(24)\text{SinW}\)

Since, m∠X + m∠Y + m∠W = 180°

m∠W =  180 - (43 + 70)

         = 67°

Area of the triangle WXY = \(12\times (33.07)\text{Sin67}\)

                                          = 365.29 mm²

                                           ≈ 365.3mm²

Answer:

the answer is to 4/3

Step-by-step explanation:

I got the quiz

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

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

Answer:  \(\textsf{Option B, 44}\)

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Given:  \(\textsf{Perimeter of the rectangle is 110. Width is 4 times the length}\)

Find: \(\textsf{The width}\)

Solution:  So, we are given two different statements in the problem.  The first one states that the perimeter of the given rectangle is 110.  We know that the perimeter formula is equal to 2(length + width).  Since we know that the perimeter is equal to 110 that means that we can set the perimeter formula equal to 110.  

Therefore, the first equation would be \(\textsf{2(length + width) = 110}\).

The second statement states that the width is 4 times the length.  Using simple algebra we can make an equation which states that the width on one side is equal to the length multiplied by 4 on the other side.

Therefore, the second equation would be \(\textsf{width = 4 * length}\).

Now that we have created two equations these two would be considered as a system of equations.  We can now plug in the second formula into the first one and solve for the length.

Now that we have the length, we can plug the length into the second formula and solve for the width.

In conclusion, after creating two equations and forming them into a system of equations we were able to solve for the width and determine that the value of it is 44.  Therefore, the option that matches our answer would be \(\textsf{Option B, 44}\).

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

30

Step-by-step explanation:

The money that was in Jennifer’s account when it was opened should be 30.

Since

Jennifer's bank account is modeled by the following equation

where x equals the number of weeks and f(x) equals the total balance.

And, the equation is f(x) = 12x + 45.

So here as per the attached graph, so the money should be 30.

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A={x|x is an even number more than 0 but less than 5}

The determinant of matrix A is therefore -28 because det(A) = 2 * (-2) * 7

To process the determinant of framework A utilizing rudimentary column tasks and properties of three-sided networks, we will perform line tasks to change the grid into a three-sided structure and afterward compute the determinant utilizing the property that the determinant of a three-sided lattice is the result of its inclining components.

Given the A matrix:

A = 2 1 2 -5 -4 -1 -4 2 3 First, we'll use row operations to add zeros below the diagonal:

The first row should be added twice to the second row:

R2' is equal to R2 plus 2R1 A' is equal to 2 1 2 0 -2 3 -4 2 3 Add two times the first row to the third row:

R3' = R3 + 2R1

A'' =

2 1 2

0 - 2 3

0 4 7

Presently, the lattice A'' is in upper three-sided structure, and the determinant can be determined as the result of the slanting components:

The determinant of matrix A is therefore -28 because det(A) = 2 * (-2) * 7

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Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696

Answer:

7 bags of chips will cost $10.50.

Step-by-step explanation:

If four bags of chips cost $6, we can divide the total cost by the number of bags to find the cost per bag:

Cost per bag = $6 / 4 = $1.50

Therefore, each bag of chips costs $1.50.

To find the cost of 7 bags of chips at this rate, we can simply multiply the cost per bag by the number of bags:

Cost of 7 bags = $1.50 x 7 = $10.50

So, 7 bags of chips will cost $10.50.

Hope this helps! If not, I'm sorry. If you need more help, ask me! :]

Answer:

$10.50

Step-by-step explanation:

Lets call one bag of chips b

4b = 6$

Divide both sides by 4

b = $1.50

They want 7b

1.50 * 7 = $10.50

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

The sum of the real and imaginary parts of $c$ is$$\operatorname{Re}(c) + \operatorname{Im}(c) = \frac{\operatorname{Re}(2c)}{2} + \frac{\operatorname{Im}(2c)}{2}$$$$= \frac{\operatorname{Re}(z_0+z_2)}{2} - \frac{\operatorname{Im}(z_0)}{2}(1-\cos(\theta/2)) - \frac{\operatorname{Re}(z_0)}{2}\sin(\theta/2)$$$$+ \frac{\operatorname{Im}(z_0+z_2)}{2} - \frac{\operatorname{Re}(z_0)}{2}(1-\cos(\theta/2)) + \frac{\operatorname{Im}(z_0)}{2}\sin(\theta/2).$$

The given problem can be solved using algebraic and geometric methods. We can use algebraic methods, such as the equations given in the problem, and we can use geometric methods by visualizing what the problem is asking. To start, let's translate the given problem into mathematical equations. Let $z_0$ be the original complex number. We want to rotate this point by 90 degrees counter-clockwise about some complex number $c$ to get $z_2$. Thus,$$z_2 = c + i(z_0 - c)$$$$=c + iz_0 - ic$$$$= (1-i)c + iz_0.$$We also know that this transformation will rotate the point $z_1 = (z_0 + z_2)/2$ by 45 degrees. Thus, using similar logic,$$z_1 = (1-i/2)c + iz_0/2.$$Now let's use the formula for rotating a point about the origin by $\theta$ degrees (where $\theta$ is measured in radians) to find a relationship between $z_1$ and $z_0$.$$z_1 = z_0 e^{i\theta/2}$$$$\implies (1-i/2)c + iz_0/2 = z_0 e^{i\theta/2}$$$$\implies (1-i/2)c = (e^{i\theta/2} - 1)z_0/2.$$We can solve for $c$ by dividing both sides by $1-i/2$.$$c = \frac{e^{i\theta/2} - 1}{1-i/2}\cdot\frac{z_0}{2}.$$We can now use the information given in the problem to solve for the sum of the real and imaginary parts of $c$. We know that rotating $z_0$ by 90 degrees counter-clockwise will result in the complex number $z_2$. Visually, this means that $c$ is located at the midpoint between $z_0$ and $z_2$ on the line that is perpendicular to the line segment connecting $z_0$ and $z_2$. We can use this geometric interpretation to solve for $c$. The midpoint of the line segment connecting $z_0$ and $z_2$ is$$\frac{z_0+z_2}{2} = c + i\frac{z_0-c}{2}.$$Solving for $c$, we get$$c = \frac{z_0+z_2}{2} - \frac{i}{2}(z_0-c)$$$$\implies 2c = z_0+z_2 - i(z_0-c)$$$$\implies 2c = z_0+z_2 - i(z_0- (e^{i\theta/2} - 1)(z_0/2)/(1-i/2)).$$We can now find the real and imaginary parts of $c$ and add them together to get the desired answer. Let's first simplify the expression for $c$.$$2c = z_0+z_2 - i(z_0 - (e^{i\theta/2} - 1)\cdot(z_0/2)\cdot(1+i)/2)$$$$= z_0 + z_2 - i(z_0 - z_0(e^{i\theta/2} - 1)(1+i)/4)$$$$= z_0 + z_2 - i(z_0 - z_0e^{i\theta/2}(1+i)/4 + z_0(1-i)/4)$$$$= z_0 + z_2 - i(z_0(1-e^{i\theta/2})/4 + z_0(1-i)/4)$$$$= z_0 + z_2 - i(z_0/4(1-e^{i\theta/2} + 1 - i))$$$$= z_0 + z_2 - i(z_0/2(1-\cos(\theta/2) - i\sin(\theta/2)))$$$$= z_0 + z_2 - i(z_0(1-\cos(\theta/2)) + z_0\sin(\theta/2) - i(z_0\cos(\theta/2))/2.$$Now we can find the real and imaginary parts of $2c$ and divide by 2 to get the real and imaginary parts of $c$. We have$$\operatorname{Re}(2c) = \operatorname{Re}(z_0+z_2) - \operatorname{Im}(z_0)(1-\cos(\theta/2)) - \operatorname{Re}(z_0)\sin(\theta/2)$$$$\operatorname{Im}(2c) = \operatorname{Im}(z_0+z_2) - \operatorname{Re}(z_0)(1-\cos(\theta/2)) + \operatorname{Im}(z_0)\sin(\theta/2).$$Thus, the sum of the real and imaginary parts of $c$ is$$\operatorname{Re}(c) + \operatorname{Im}(c) = \frac{\operatorname{Re}(2c)}{2} + \frac{\operatorname{Im}(2c)}{2}$$$$= \frac{\operatorname{Re}(z_0+z_2)}{2} - \frac{\operatorname{Im}(z_0)}{2}(1-\cos(\theta/2)) - \frac{\operatorname{Re}(z_0)}{2}\sin(\theta/2)$$$$+ \frac{\operatorname{Im}(z_0+z_2)}{2} - \frac{\operatorname{Re}(z_0)}{2}(1-\cos(\theta/2)) + \frac{\operatorname{Im}(z_0)}{2}\sin(\theta/2).$$

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a) Probability model

P(40) = 1/6

P(0) = 5/36

P(-10) = 25/36

b)  E(X) = -5/18

standard deviation  = 18.331

c) standard deviation  = 91.65

d) Probability = 0.560

From the question, we have

a) X = -10, 0 or 40 for your winnings (or losses). The corresponding probabilities are:

P(40) = 1/6

P(0) = (5/6)(1/6) = 5/36

P(-10) = 1 - 1/6 - 5/36 = 25/36

b) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

E(X^2) = (100)(25/36) + 1600(1/6) = 3025 / 9

Var(X) = E(X^2) - [E(X)]^2 = 3025 / 9 - (-5/18)^2 = 108875 / 324

standard deviation = sqrt [Var X] = 119043 / 6494 =18.331

c) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

5 * E(X)  =  - 25/18

standard deviation = 5 * 18.331 = 91.65

d) Probability :

P(X < 0) = P{ z < [0 - (-5/18)] / [(119043 / 6494) / sqrt 100] } = P(z < 0.1515) = 0.560

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

Complete question:

From the Data at Hand to the World at Large 4. New game You pay $10 and roll a die. If you get a 6, you win $50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What's the probability the person running the game makes a profit?

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The piecewise function for this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

Between x = -3 and x = -1, the linear function has a slope of 1, with a x-intercept of -3, meaning that the parent function y = x was shifted left 3 units, hence it is given as follows:

f(x) = x + 3, -3 ≤ x < -1

Between x = -1 and x = 1, the function is constant at y = 5, hence it is given as follows:

f(x) = 5, -1 ≤ x ≤ 1.

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Calibrations errors.

Systematic error.

The principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields is related to the equipment used.

Two sources of random (statistical) error could include inaccuracies in the measurement device and fluctuations in the environment.

Two sources of systematic error could include calibrations errors of the equipment and interference from external sources.

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Answer:

You're right...

Step-by-step explanation:

(4-5)-(13-18+2)

(-1)-(-3)

-1+3

2

Answer:

First one is correct

Step-by-step explanation:

False. Sarah does not have enough to make 12 spherical beads.

Volume of one platinum spherical bead:

The mass of one platinum spherical bead can be calculated by multiplying its volume by the density of platinum:

m = volume x density

m = 1.43733  × 21.5

m = 30.91 g

So, the total mass of 12 platinum spherical beads is:

12 × 30.91 g = 370.92 g

Since Sarah only has 350 g of platinum, she does not have enough to make the 12 spherical beads.

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