-18v^2 + 23v^2 =
Please show work

Answer:

Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.

Step-by-step explanation:

i hope my answer to be appreciated!!

Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency using algebra.

First, let's calculate how much money Kathy will withdraw in pounds and euros. She wants to withdraw half of her $300$ US dollars in each currency, so that would be $150$ US dollars for each.

To find the amount in pounds, we can divide $150$ US dollars by the exchange rate of $1.64$ USD per pound:

Amount in pounds = $\frac{150}{1.64} \approx 91.46$ pounds.

To find the amount in euros, we can divide $150$ US dollars by the exchange rate of $1.32$ USD per euro:

Amount in euros = $\frac{150}{1.32} \approx 113.64$ euros.

Rounding both amounts to the nearest whole number, Kathy will have approximately $91$ pounds and $114$ euros.

To determine how many more euros than pounds she will have, we subtract the amount in pounds from the amount in euros:

$114$ euros - $91$ pounds = $23$ more euros than pounds.

Therefore, Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency.

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Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

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Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

First get x

x= (20/10) * 100

x=200

23% of 200 = (23*200)/100 = 46

We get the least-squares solutions for axe = b as x = [0.981, -0.196, 0.490, 0.079, -0.343, 0.412] by using the least-squares method on the vectors a and b that have been provided.

We must reduce the squared difference between the product of a and x and the vector b in order to get the least-squares solutions for the equation axe = b. This can be described mathematically as minimization of the objective function ||axe - b||2, where ||.|| stands for the Euclidean norm.

The matrix equation AT Axe = AT b can be expanded to create a system of equations given the values of a and b as [5, 8, 1] and [2, 1, 2, 0, 2, 3] respectively. In this case, the coefficients of the variables in the equation make up the rows of the matrix A.

We get the least-squares solution for x by resolving the equation AT Axe = AT b. To be more precise, we calculate the pseudo-inverse of A, designated as A+, allowing us to determine that x = A+b.

The matrix AT A is invertible in this situation, and we may locate its inverse. Therefore, we may determine x = A+ b by computing A+ = (AT A)(-1) AT.

We get the least-squares solution for axe = b as x = [0.981, -0.196, 0.490, 0.079, -0.343, 0.412] by using the least-squares method on the vectors a and b that have been provided.

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2)0000==============]

Answer:

f(-4) = 15

Step-by-step explanation:

A function is notated as f(x), because the x is the value you are putting in. For example. In f(x) = x + 5, the value you are putting in is x, and the output would be x + 5.

So in this case, we have f(x) = -7x-13. We are to figure out f(-4), so we can simply put in -4 as the x-value;

-7(-4) - 13

28 - 13

15

And so the value of f(-4) = 15

if you liked this answer please mark brainliest!

Answer:

9

Step-by-step explanation:

f times 9 = 7x - 13 = 9 pls make me brianlist

Answer:

I would love to help you, but you didn't provide an image or equation etc. to solve.

Step-by-step explanation:

Answer:

if u don't understand my answer in last question then u can ask.

Answer:

A wave period is the measure of the time it takes for the wave cycle to complete.

The period of the wave is 2 seconds.

Answer:

0.799 to the nearest hundredth is 0.80

Hope this helps!

Answer:

the answer to your question is 3 and 34

The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2

An equation is an expression that shows the relationship between two or more numbers and variables.

From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2

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If each of the plant's cans was filled to 12 ounces, the standard deviation of the sample of 10 cans would give us an idea of how much the weights of the cans deviate from the average weight of 12 ounces.

The calculation of the standard deviation requires knowledge of the mean and variance of the sample. To find the variance, we would need to subtract the mean from each of the observed weights, square the differences, and find the average of the squared differences. Finally, to find the standard deviation, we would take the square root of the variance.

It's worth noting that in practice, finding the standard deviation of a sample can be a complex and time-consuming process, especially when dealing with large sample sizes. However, it is a valuable metric that provides important information about the distribution and spread of the data.

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Answer: Range=\((-infinity,4)\)

Step-by-step explanation:

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

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Answer:

\(\int\limits^ {-1} \, (x) = 9x +18\)

Step-by-step explanation:

We must find the inverse of the following function:

\(\int\limits {x} =\) \(\frac{1}{9}x - 2\)

to solve this, you change f(x) by y

y= \(\frac{1}{9} x - 2\)

exchange the variables:

\(x\frac{1}{9}y - 2\)

You clear the variable "y"

\(x+ 2 = \frac{1}{9}y\)

9(x+2) = y

y = 9(x+2)

y = 9x +18

finally you change "y" to f ^-1 (x) =

f^-1 (x) = 9x+18

Answer: Your welcome!

Step-by-step explanation:

Part A: 2x^2 + 3x^2 - 4 + 3xy + 6 + 6 = 7x^2 - 4xy + 6

Part B: 0 = 7x^2 - 4xy + 6 - (2x^2 + 3x^2 - 4 + 3xy + 6 + 6)

= 0 = 5x^2 - 4xy

A) The expression that represents the amount of canned food collected by the three friends is \(5x^2 + 3xy + 2\).

B) The expression that represents the number of cans the friends still need to collect to meet their goal is \(2x^2 - 7xy + 4\).

Given: Number of cans collected

Jessa: 2x²

Tyree: 3x² - 4

Ben: 3xy + 6

Goal : \((7x^2 - 4xy + 6)\)

A) The total amount collected:

Total = Jessa + Tyree + Ben

         = \(2x^2 + (3x^2 - 4) + (3xy + 6)\)

         = \(2x^2 + 3x^2 - 4 + 3xy + 6\)

         = \((2x^2 + 3x^2 + 3xy) + (-4 + 6)\)

         = \(5x^2 + 3xy + 2\)

Therefore, the expression is \(5x^2 + 3xy + 2\).

B) The number of cans the friends still need to collect to meet their goal is

Cans still needed = Goal - Total

                              \(= (7x^2 - 4xy + 6) - (5x^2 + 3xy + 2)\)

                              \(= 7x^2 - 4xy + 6 - 5x^2 - 3xy - 2\)

                              \(= (7x^2 - 5x^2) + (-4xy - 3xy) + (6 - 2)\)

                              \(= 2x^2 - 7xy + 4\)

Therefore, the expression is \(2x^2 - 7xy + 4\).

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Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3

(a) To find the area of the shaded region enclosed by the graphs of f and g, you can use the formula for the area of a region bounded by two functions:

Area = ∫[lower bound]^[upper bound] |f(x) - g(x)| dx

In this case, the lower bound is 0 and the upper bound is 1, so the area of the shaded region is:

Area = ∫0^1 |2x(1 - x) - 3(x−1)x√| dx

You can simplify this expression to:

Area = ∫0^1 |2x - 3x^(3/2)| dx

You can then evaluate the integral to find the area of the shaded region:

Area = [x - (3/2)x^(5/2)]0^1

= 1 - (3/2) * 1^(5/2)

= 1 - (3/2) * 1

= 1 - 1.5

= -0.5

So the area of the shaded region is -0.5.

(b) To find the volume of the solid generated when the shaded region is revolved about the horizontal line y = 2, you can use the formula for the volume of a solid of revolution:

Volume = ∫[lower bound]^[upper bound] π[radius]^2 dx

In this case, the radius of the solid is the distance from the y-axis to the graph of the function, which is 2 - f(x). The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 π[2 - f(x)]^2 dx

= π ∫0^1 [4 - 4x + x^2] dx

= π [x - 2x^2 + (1/3)x^3]0^1

= π [(1/3) - 2 + 1]

= π [(1/3) - 1]

= π (-2/3)

= -2π/3

So the volume of the solid is -2π/3.

(c) To find the value of k for which the volume of the solid with square cross sections is equal to 15, you can write an equation involving an integral expression that can be used to find k.

The volume of the solid with square cross sections is given by the formula:

Volume = ∫[lower bound]^[upper bound] h(x) * g(x) dx

In this case, the function h is given by h(x) = kx(1 - x), and the function g is given by g(x) = 3(x−1)x√. The lower bound is 0 and the upper bound is 1, so the volume of the solid is:

Volume = ∫0^1 kx(1 - x) * 3(x−1)x√ dx

= 3 ∫0^1 kx(1 - x)(x−1)x√ dx

To find the value of k that makes the volume of the solid equal to 15, you can set the volume equal to 15 and solve for k:

15 = 3 ∫0^1 kx(1 - x)(x−1)x√ dx

k = 15 / 3

Thus, Area of the shaded region is -0.5, volume of the solid is -2π/3 and k = 15 / 3.

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Answer:

45

Step-by-step explanation:

There are 45 total marbles. The probability of drawing a yellow marble on the first draw is 3/4. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

The dilation of the triangle is illustrated below.

Resizing an object uses a transformation called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image that retains the original shape.

The image's size will depend on the scale factor, which is used to dilate a mathematical object. See the diagram below. We end up with a triangle where the sides are 3/2 = 1.5 times longer compared to the original diagram.

Because segment AC is going through P (center of dilation), this means that segment A'C' will also go through P. Furthermore, it means AC and A'C' overlap. However, as mentioned earlier, A'C' is 1.5 times longer than AC.

Another thing to note is that line BC is parallel to line B'C', and line AB is parallel to A'B'.

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The probability that an automobile owner purchases neither collision nor disability coverage is 0

To find the probability that an automobile owner purchases neither collision nor disability coverage, we need to determine the probability of the complement event, which is the event that the owner purchases either collision or disability coverage.

Let's denote the event of purchasing collision coverage as C and the event of purchasing disability coverage as D.

From the given information, we can conclude:

(i) P(C) = 2 * P(D)

(ii) P(C ∩ D) = 0.15

(iii) P(C) and P(D) are independent events.

Since P(C) = 2 * P(D), we can denote P(D) as x, and then P(C) becomes 2x.

Using the fact that the probability of the union of two events is given by the sum of their individual probabilities minus the probability of their intersection, we can write:

P(C ∪ D) = P(C) + P(D) - P(C ∩ D)

Since C and D are independent events, P(C ∩ D) = P(C) * P(D).

Substituting the given information:

P(C ∪ D) = 2x + x - 0.15 = 3x - 0.15

The probability of the complement event (neither collision nor disability coverage) is given by:

P(~(C ∪ D)) = 1 - P(C ∪ D)

Since an automobile owner must have either collision or disability coverage (or both), the probability of purchasing neither coverage is the complement of having either coverage:

P(~(C ∪ D)) = 1 - (3x - 0.15)

Now, we need to find the value of x to calculate the probability.

To determine the value of x, we can use the fact that the sum of probabilities in a sample space is equal to 1.

P(C) + P(D) - P(C ∩ D) = 1

2x + x - 0.15 = 1

3x - 0.15 = 1

3x = 1 + 0.15

3x = 1.15

x = 1.15 / 3

x ≈ 0.3833

Now we can calculate the probability of the complement event:

P(~(C ∪ D)) = 1 - (3x - 0.15)

P(~(C ∪ D)) = 1 - (3 * 0.3833 - 0.15)

P(~(C ∪ D)) = 1 - (1.15 - 0.15)

P(~(C ∪ D)) = 1 - 1

P(~(C ∪ D)) = 0

Therefore, the probability that an automobile owner purchases neither collision nor disability coverage is 0.

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Answer:

Step-by-step explanation:

2(x+y)=32  means :

x+y =16

Answer:

12.8

Step-by-step explanation:

subtract each leg from the total distance of 37.9. 37.9 - 12.3 - 7.6 - 4.2 = 12.8

Assuming that the main product of a business sells for 16000.25x dollars per when x units are sold each week.

Here is the explanation :

(a) The formula for total revenue as a function of x can be obtained by multiplying the selling price per unit by the number of units sold:

R(x) = (1600 - 0.25x) * x

(b) The formula for the total cost as a function of x can be obtained by adding the fixed costs to the cost per unit multiplied by the number of units produced:

C(x) = 400 + (0.7x + 1440) * x

(c) To find the break-even points, we need to determine the values of x where the total revenue equals the total cost. In other words, we need to solve the equation R(x) = C(x).

1600x - 0.25x² = 400 + (0.7x + 1440)x

Simplifying the equation:

1600x - 0.25x² = 400 + 0.7x² + 1440x

Rearranging and combining like terms:

0.95x² + 40x - 400 = 0

We can solve this quadratic equation using the quadratic formula:

\(\begin{equation}x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

In this case, a = 0.95, b = 40, and c = -400. Plugging in these values, we can find the break-even points.

Calculating using the quadratic formula, we find:

x ≈ 15.739 and x ≈ -22.739

Since we're dealing with the number of units produced every week, we discard the negative solution. Therefore, the smaller break-even quantity is approximately 15.739 units per week.

Substituting this value of x into the revenue function R(x), we can find the corresponding revenue:

R(15.739) ≈ (1600 - 0.25 * 15.739) * 15.739 ≈ $25040.559

The larger break-even quantity is the maximum value of x, which means it occurs at the vertex of the parabolic equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, a = 0.95 and b = 40.

\(\begin{equation}x = \frac{-40}{2 \cdot 0.95} \approx 21.053\)

Substituting this value of x into the revenue function R(x), we can find the corresponding revenue:

R(21.053) ≈ (1600 - 0.25 * 21.053) * 21.053 ≈ $35336.842

Therefore, the larger break-even quantity is approximately 21.053 units per week, with corresponding revenue of approximately $35336.842 per week.

(d) The profit function can be obtained by subtracting the total cost function from the total revenue function:

P(x) = R(x) - C(x) = (1600 - 0.25x) * x - (400 + (0.7x + 1440) * x)

Simplifying further:

P(x) = 1600x - 0.25x² - 400 - 0.7x² - 1440x

P(x) = -0.95x² + 1600x - 400

(e) To find the price that maximizes profit, we need to determine the value of x that maximizes the profit function P(x). Since the coefficient of the quadratic term is negative (-0.95), the parabolic function opens downwards and has a maximum value.

The x-coordinate of the vertex of the parabolic

function can be found using the formula \(\begin{equation}x = \frac{-b}{2a}\). In this case, a = -0.95 and b = 1600.

\(\begin{equation}x = \frac{-1600}{2 \cdot -0.95} \approx 842.105\)

Substituting this value of x into the revenue function R(x), we can find the corresponding price:

Price = 1600 - 0.25 * 842.105 ≈ $1378.947

Therefore, the price that maximizes profit is approximately $1378.947 per unit.

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point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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Answer:

1

Step-by-step explanation:

Co-efficient means the integer in front of the variable

The co-efficient for -4x^3 would be -4 like that

Answer:

1

Hope it helps

I am sure about that

The country is borrowing 1600 units of money on the world financial markets.

a. To determine the trade balance, we need to calculate the net exports (NX) using the given information. The formula for net exports is:

NX = Y - (C + I + G)

Given:

Y = 5000

C = 1000 + 0.5(Y - T) = 1000 + 0.5(5000 - 1000) = 1000 + 0.5(4000) = 1000 + 2000 = 3000

I = 2000

G = 1600

T = 1000

Plugging these values into the net exports equation:

NX = 5000 - (3000 + 2000 + 1600) = 5000 - 6600 = -1600

The trade balance is -1600. A negative trade balance indicates a trade deficit, which means that the country is importing more goods and services than it is exporting. In this case, the country is experiencing a trade deficit.

b. To determine whether the country is borrowing or lending money on the world financial markets, we need to examine the relationship between domestic investment (I) and national saving (S). If domestic investment exceeds national saving, the country is borrowing money. If national saving exceeds domestic investment, the country is lending money.

The formula for national saving (S) is:

S = Y - C - G

Plugging in the given values:

S = 5000 - 3000 - 1600 = 400

The national saving is 400.

Since investment (I) is 2000, which is greater than national saving (400), the country is borrowing money on the world financial markets. The amount being borrowed is the difference between investment and national saving:

Borrowing = I - S = 2000 - 400 = 1600

Therefore, the country is borrowing 1600 units of money on the world financial markets.

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