help needed on this question! with show work

By answering the question the answer is Therefore, landscapers should equation use 35 gallons of an 80% pesticide solution.

In mathematics, an equation is a statement that two expressions are equal. The equation consists of her two sides divided by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The goal of solving an equation is to find the values ​​of the variables to make the equation true. Simple or complex equations, regular or nonlinear, and equations involving one or more factors are all possible. For example, the expression "\(x2 + 2x - 3 = 0\\\)" squares the variable x. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.  

Let's say a landscaper needs to use x gallons of an 80% pesticide solution.

The amount of pesticide for an 80% solution is 0.8 x gallons and the amount of pesticide for a 30% solution is 0.3 (35) = 10.5 gallons.

After mixing the two solutions, the total amount of pesticides in the mixture is 0.8 x + 10.5 gallons and the total volume of the mixture is x + 35 gallons.

Since we need a 55% pesticide solution, we can set the following formula:

\(0.8x10.5 0.55(x+35)0.8x10.5 0.55x+19.250.25x = 8.75x = 35\)

Therefore, landscapers should use 35 gallons of an 80% pesticide solution.

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Answer:

Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571

Step-by-step explanation:

Hope this helps

The absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.

The number's absolute value, which ignores orientation, indicates how far it is from zero on the number line. A number can never be negative in absolute terms.

Concepts which are used in the given problems:

The incorrect options can be found below:

Because the precision is the estimate that is near from the various samples, the absolute magnitude of the difference between the point estimate and the population parameter would not be a precision. Additionally, it is not a standard error since a standard error is an error that is far beyond the range of the sample mean. However, it is not a confidence error since a confidence error is a measure of how far the findings would deviate from the population under consideration.

By using the  concept of precision, standard error and error of confidence, the incorrect choices are discovered.

The correct choice may be found below:

Sampling error is the measurement of the distance or difference between the population parameter and the sample's point estimate. The sampling mistake is an inaccuracy that results from drawing conclusions about the sample rather than the population being studied.

The idea of sampling error is used to calculate the absolute value of the distinction between both the point estimate and the population parameter is predicts.

Thus, the absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.

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Based on the data in the table, it appears that y is directly proportional to x because the ratio of y to x remains constant.

To find the constant of proportionality, we can choose any pair of corresponding values for x and y and divide y by x. Let's choose the first pair (2, 4) and divide 4 by 2:

4 ÷ 2 = 2

Therefore, the constant of proportionality is 2.

The direct proportion equation can be written as y = kx, where k is the constant of proportionality. Since we found that k is equal to 2, the equation for this situation is y = 2x. This equation can be used to find y for any value of x, as long as the proportionality relationship holds true.

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Answer:

Fast

Step-by-step explanation:

You told me "Please answer fast." ;-;

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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The elasticity of expenditure is given by;e = δY/δX * X/Ywhere δY/δX is the slope of the demand curve and can be obtained by taking the derivative of the demand curve. X/Y is the expenditure share of X.In the given equation:

Y = 7.6182 + 0.08145X, we can rearrange to give X in terms of Y; X = (Y - 7.6182) / 0.08145Hence, expenditure share of X (X/Y) = (262.5 - 7.6182) / 29 = 8.9743.

Now we need to find δY/δX, by taking the derivative of the demand equation above, we get;δY/δX = 0.08145*Hence, the elasticity of expenditure is;e = δY/δX * X/Y = 0.08145*(262.5/29) = 0.731Conclusion:The value of elasticity of expenditure obtained above is less than one (0.731 < 1). This implies that the demand for X is inelastic. Hence, a 1% increase in the price of X will cause less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of X will cause less than 1% increase in the quantity demanded.

The elasticity of expenditure (E) is a metric used to measure the sensitivity of the quantity demanded of a good or service to a change in the price of that good or service. If E > 1, then the good or service is considered elastic. This means that a small change in price can cause a significant change in the quantity demanded of the good or service.

If E = 1, then the good or service is considered to have unit elasticity. This means that a change in price will cause a proportional change in the quantity demanded. If E < 1, then the good or service is considered inelastic. This means that a change in price will cause a relatively small change in the quantity demanded. In the given model above, the elasticity of expenditure was computed as 0.731. Since this value is less than one, it implies that the demand for the good is inelastic. A 1% increase in the price of the good will cause a less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of the good will cause less than a 1% increase in the quantity demanded.

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The next step would be to factor the left-hand side of the equation as (x - 3)^2 - 8 = 0, which can be solved using the square root method or by adding 8 to both sides and then taking the square root.

The first step when solving the equation x^2 - 6x - 40 = 0 by completing the square is to add the square of half the coefficient of x (which is (-6)/2 = -3) to both sides of the equation:

x^2 - 6x - 40 + (-3)^2 = (-3)^2

This simplifies to:

x^2 - 6x + 1 = 0

what is equation?

In mathematics, an equation is a statement that two expressions are equal. It contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. The goal of solving an equation is to determine the value or values of the variables that make the equation true. Equations are used to model real-world situations and to solve problems in various fields, such as science, engineering, economics, and physics.

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Answer:

10

Step-by-step explanation:

Step-by-step explanation: The answer will be positive (+) because negative (-) multiplied by negative (-) is equal to positive (+). So, in this case, -2.5 * -4 is equal to positive 10 or 10.

I hope you guys get it. GOD BLESS!

Answer:

-62°F

Step-by-step explanation:

it said it got colder so it got lower not higher

Answer:

14

Step-by-step explanation:

21/3

7*2

Answer:

\(1\frac{5}{12}\)

Step-by-step explanation:

To calculate the given volume integral, 4(x^3 + xy^2) dV, over the solid E in the first octant beneath the paraboloid z = 1 - x^2 - y^2, we need to set up the integral in cylindrical coordinates. The integral will involve integrating over the appropriate limits and applying the volume element in cylindrical coordinates.

In cylindrical coordinates, we have x = r cos θ, y = r sin θ, and z = z.
The equation of the paraboloid, z = 1 - x^2 - y^2, can be expressed as z = 1 - r^2.
The given volume integral becomes 4(x^3 + xy^2) dV = 4(r^3 cos^3 θ + r^3 cos θ sin^2 θ) r dz dr dθ.
To determine the limits of integration, we need to consider the region of the solid E in the first octant. Since the solid lies beneath the paraboloid z = 1 - x^2 - y^2, the upper limit for z is given by z = 1 - r^2.
The limits for r and θ depend on the region in the first octant. We need to set appropriate limits to cover the desired region.Once we have the limits for r, θ, and z, we can set up the triple integral using the volume element in cylindrical coordinates.
By evaluating the integral with the corresponding limits, we can find the value of the given volume integral over the solid E in the first octant beneath the paraboloid.

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The four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

There are many ways to care and protect our nervous system. But some of the basics and the most important ways to care for our nervous system are to follow a basic routine which includes regular exercise, practicing meditation daily, having proper sleep for at least seven hours a day and having healthy food mostly.

Now, doing exercise means that we are constantly engaged in some kind of physical activity and healthy food also means to have a balanced lifestyle.

Hence, the four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

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Answer:

here you go

Step-by-step explanation:

40, 40, 40, 41, 42, 42, 43, 44, 44, 44, 45, 46, 46, 48, 50

The area of the rectangle is found to be 20 - 2·√(10) sq. units.

Let x be the length of the rectangle.

Let y be the width of rectangle.

Then, length is reduced by 4 and with is increased by 5.

x - 4 = y + 5 , (becomes square) ....eq 1

Area of square = 40 cm²

Then,

(x - 4) × (y + 5) = 40 cm²

From eq 1

(y + 5) × (y + 5) = 40 cm²

y² + 10y + 25 = 40

y² + 10y + 25 - 40 = 0

y² + 10y - 15 = 0

Solving equation by quadratic formula:

y = -5 + 2·√(10)

Then, for x:

x - 4 = 5 + -5 + 2·√(10) = 2·√(10)

x = 4 + 2·√(10)

Now,

Area of the rectangle, A = x × y

Put the values:

A = (-5 + 2·√(10)) × (4 + 2·√(10))

A = 20 - 2·√(10)

Thus, the area of the rectangle is found to be 20 - 2·√(10) sq. units.

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Answer: 360cm^2

Step-by-step explanation: the rectangle is 24 by 15

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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The probability of getting a return of 200% or more in a single year is approximately 0.0000317 or 0.00317%.

Assuming that the returns from holding small-company stocks are normally distributed, the probability of doubling or tripling your money in a single year can be estimated using the normal distribution formula.

To calculate the probability of doubling your money, you need to find the number of standard deviations away from the mean that represents a return of 100%. If we assume that the average return for small-company stocks is 10% per year with a standard deviation of 20%, we can use the formula:

Z = (100% - 10%) / 20% = 4.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 100% or more in a single year is approximately 0.0000317 or 0.00317%.

Similarly, to calculate the probability of tripling your money, you need to find the number of standard deviations away from the mean that represents a return of 200%. Using the same formula as above, we get:

Z = (200% - 10%) / 20% = 9.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 200% or more in a single year is approximately 0.000000002 or 0.0000002%.

It's important to note that these calculations are based on assumptions and estimates, and actual returns may vary significantly. Investing in small-company stocks involves significant risks, and investors should carefully consider their investment goals, risk tolerance, and overall financial situation before making any investment decisions.

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On a 7.5-minute quadrangle map, the spacing of UTM grid lines is typically 1,000 meters (1 kilometer) apart. To determine the contour interval if it is not provided in the map margin, one can examine the elevation markings on the map and identify the vertical distance between consecutive contour lines. Contours differ between a steep slope and a shallow slope in terms of their spacing. On a steep slope, the contour lines are closer together, indicating rapid changes in elevation. On a shallow slope, the contour lines are spaced farther apart, indicating gradual changes in elevation.

On a 7.5-minute quadrangle map, the UTM (Universal Transverse Mercator) grid lines are typically spaced at intervals of 1 kilometer. These grid lines provide a coordinate system that allows for accurate location referencing on the map.
If the contour interval is not explicitly stated in the map margin, one can determine it by examining the elevation markings. By identifying two adjacent contour lines and noting the elevation difference between them, one can calculate the contour interval. For example, if the elevation difference between two consecutive contour lines is 20 meters, then the contour interval is 20 meters.
Contours on a map represent lines of constant elevation. On a steep slope, the contour lines will be closer together, indicating a rapid change in elevation over a short distance. This signifies a steep or rugged terrain. On the other hand, on a shallow slope, the contour lines will be spaced farther apart, indicating a gradual change in elevation over a longer distance. This suggests a gentle or gradual terrain with a less pronounced change in elevation. The spacing of contour lines provides visual cues about the steepness or shallowness of the terrain.

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The boat travels at  18 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed.

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

Given:  A boat travels 30 miles up the river in the same amount of time it takes to travel 42 miles down the same river. The current is 3 miles per hour.

From the above information we can write,

Let, u is the boat speed in still water, then

\(\frac{30}{u-3} = \frac{42}{u+3}\)

Taking cross multiplication,

30(u + 3) = 42(u - 3)

Solving,

30u + 90 = 42u - 126

42u - 30u -126 -90 = 0

12u = 216

u = 18

Therefore, the speed of boat in still water is, 18 miles per hour.

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Answer:

Step-by-step explanation:

1 inch

Answer:

\(1,000,000 \: {m}^{3} \)

Step-by-step explanation:

\(0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} \)

Answer:

C. 120

Step-by-step explanation:

B × H

(base) × (height)

15 × 8 = 120

Answer:

120

Step-by-step explanation:

Parallelogram= length times width so

15*8=120

To show that if\(\(X_1, X_2\), \(\ldots, X_p\)\) are independent, continuous random variables, \(\(P(X_1 \\)in \(A_1, X_2\) \(\in A_2\)\(\ldots, X_p \in A_p) = P(X_1 \in A_1)P(X_2 \in A_2) \ldots P(X_p \in A_p)\),\), we can use the joint probability density function.

To demonstrate the desired result, we begin with the expression \(\(P(X_1 \in A_1, X_2 \in A_2, \ldots, X_p \in A_p)\).\)Using the joint probability density function, we can write this as the integral over the region\(\(A_1 \times A_2 \times \ldots \times A_p\)\) of the joint density function\(\(f_{X_1,X_2,\ldots,X_p}(x_1,x_2,\ldots,x_p) \, dx \, dx_2 \ldots dx_p\).\)

Next, we apply the independence property, which states that if \(\(X_1, X_2, \ldots, X_p\)\)are independent random variables, then the joint density function can be expressed as the product of the individual density functions: \(\(f_{X_1,X_2,\ldots,X_p}(x_1,x_2,\ldots,x_p) = f_{X_1}(x_1)f_{X_2}(x_2) \ldots f_{X_p}(x_p)\).\)

By substituting this expression into the integral, we obtain the product of individual probability densities: \(\(\int \int \ldots \int f_{X_1}(x_1)f_{X_2}(x_2) \ldots f_{X_p}(x_p) \, dx_1 \, dx_2 \ldots dx_p\).\)

This product can be further simplified to \(\(P(X_1 \in A_1)P(X_2 \in A_2) \ldots P(X_p \in A_p)\)\)by recognizing that each individual integral represents the probability of each variable falling within its respective region.

Therefore, we have shown that\(\(P(X_1 \in A_1, X_2 \in A_2, \ldots, X_p \in A_p) = P(X_1 \in A_1)P(X_2 \in A_2) \ldots P(X_p \in A_p)\),\)demonstrating the independence property for continuous random variables.

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\(\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}\)

Step-by-step explanation:

Find the equation of each line in Slope-Intercept form: y = mx + b

Line 1 passes through (-5, 3) and (0, -2)   -->   m = -1,  b = -2

                                                                   -->  y = -x - 2

Line 2 passes through (0, 0) and (4, -2)   -->   m = -1/2,  b = 0

                                                                   -->   y = -(1/2)x + 0

Now that you have the equations, evaluate which x-values are included.

Line 1: open dot at x = 0 and line goes to the left        -->  x < 0

Line 2: closed dot at x = 0 and line goes to the right   --> x ≥ 0

Now you have all the information you need to write the piecewise function:

                                \(\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}\)

The piece wise function can be written as

\(f(x) = -x-2 \; for\; x < 0\)

\(f(x) = \dfrac{-1}{2}x \; for\; x \geq 0\)

The Equation of line passing through  \((x_1,y_1)\; and \; (x_2,y_2)\) can be given  by equation (1)

\(y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)\)

The equation of line passing through (0,-2) and (-5,3) =

\(y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)\)

\(y +2 = -x\\y = -x -2 ......(2)\)

Similarly the line passing through (0,0) and (4,-2) =

\(y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0\)

The first line has an open circle at (0,  -2) and continues up through (-5, 3) with an arrow instead of an endpoint.

The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. \(f(x) = \dfrac{-1}{2}x \; for\; x < 0\)

Hence the piece wise function can be defined by equations (2) and (3)

\(f(x) = -x-2 \; for\; x < 0\)

\(f(x) = \dfrac{-1}{2}x \; for\; x \geq 0\)

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The correct point slope form is  y - 1 = 2 ( x - 9).

What is the point slope form?

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables. Depending on the facts at hand, there are different ways to find a line's equation.

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Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.