Which equation can be used to solve the problem? 180 is 40 percent of what number? StartFraction 40 times 4. 5 Over 100 times 4. 5 EndFraction = StartFraction 180 Over 450 EndFraction StartFraction 180 times 0. 4 Over 100 times 0. 4 EndFraction = StartFraction 72 Over 40 EndFraction StartFraction 40 times 1 Over 180 times 1 EndFraction = StartFraction 40 Over 180 EndFraction StartFraction 100 times 4. 5 Over 40 times 4. 5 EndFraction = StartFraction 450 Over 180 EndFraction.

The inequality that can be used to find the range of acceptable weights, x of the spaghetti is (x + 0.25) ≤ 32

Given:

Weight of each box of be spaghetti = approximately 32 ounces

x = Range of weight of each box

Difference in weight = not more than 0.25

The inequality:

(Range of weight of each box - Difference in weight) ≥ Weight of each box of be spaghetti

(x + 0.25) ≤ 32

Therefore, the range of weight added to the difference in weight should be equal to or less than 32 for the weight to be acceptable.

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Answer:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

Reflection across the y-axis requires changing the sign of the x-coordinate while keeping the y-coordinate the same. This can be seen in Physics with the reflection of light rays off symmetrical mirrors. The transformed coordinates, after a y-axis reflection, of a point A with original coordinates (3, 4) would be (-3, 4).

A reflection across the y-axis in Mathematics involves changing the sign of the x-coordinate and keeping the y-coordinate intact. If the original coordinates of the vertex, point A, were (x, y), then following the reflection, the new coordinates of A would be (-x, y).

This concept is similar to the reflection of light seen in Physics. For instance, if a ray of light hits the vertex of a symmetrical mirror, it is reflected symmetrically about the optical axis of the mirror. This helps us understand how images are formed by reflection in mirrors.

Suppose within our example, point A had coordinates (3, 4). Following reflection across the y-axis, point A would be mapped to the coordinates (-3, 4).

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Answer:

92-40=52

52/0.2 (0.2 = 20 cents) = 260

Step-by-step explanation:

260 is the greatest distance you can travel.

The distance between the points (0, 0, 0) and (-2, 6, 3) is 7 units.

To find the distance between the two given points, (0, 0, 0) and (-2, 6, 3), we can utilize the distance formula in three-dimensional space.

The distance formula between two points (x1, y1, z1) and (x2, y2, z2) is given by:

\(d = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2] }\)

Using this formula, we can calculate the distance between the points (0, 0, 0) and (-2, 6, 3):

\(d = \sqrt{[(-2 - 0)^2 + (6 - 0)^2 + (3 - 0)^2] }\)

\(= \sqrt{[(-2)^2 + 6^2 + 3^2] }\)

\(= \sqrt{[4 + 36 + 9] }\)

\(= \sqrt{49}\)

= 7

Therefore, the distance between the points (0, 0, 0) and (-2, 6, 3) is 7 units.

This calculation involves finding the differences in the x, y, and z coordinates of the two points, squaring each difference, summing them, and finally taking the square root to obtain the distance.

The result indicates that the points are 7 units apart from each other in space.

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Answer:

x=15°

Step-by-step explanation:

x+45=60 (VOA)

x=15°

Answer:

60=x+45      x=15

Step-by-step explanation:

The two angles are vertical, so they're equal. 45 plus a number x is 60, so we can subtract 45 from both sides. 60-45 is 15, so x is 15.

Answer: Debnil has 2 Tablespoons of salt.

Step-by-step explanation:

3/1 is the ratio for teaspoons to tablespoons.

Substitute the 1 with the 6. What is six divided by three? 2.

The null hypothesis suggests that there is no dissimilarity in escape time among lizards from habitats that have been invaded and those from uninvaded habitats.

The alternative hypotheses is that lizards residing in environments that have been invaded will have a greater tendency to escape quickly as compared to those dwelling in uninvaded habitats.

The consequent p-value will demonstrate the level of statistical significance of the results.

The likelihood of obtaining the observed data, or a more extreme version of it, is denoted by the p-value when considering the null hypothesis.

When the p-value is below 0. 05, it signifies compelling evidence against the null hypothesis, implying that the variation in flee times observed is unlikely to be a random occurrence.

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The empirical probability of dealing with a black card is 40%.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an occurrence is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty. An event's probability grows with its possibility of happening. Tossing a fair (impartial) coin provides a simple demonstration.

Given

The dealer draws a total of 20 cards for this question—8 black cards and 12 red cards.

The likelihood of dealing with a black card is the subject of the question.

Given that the probability just asks for the color, you can disregard the card number. The likelihood would be,

Black card/Total card

8/12+8

8/20

2/5

0.4

40%

The empirical probability of dealing a black card is 40%.

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Answer: 40%

Step-by-step explanation:

I got it right on edmentum

The conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree, is 0.571.

The percentage of associate's degrees is 21%.

The percentage of degrees earned by people whose race is white is 58%.

The percentage of associate's degrees out of all degrees earned by people whose race is white is 12%.

Let the probability of earning an associate's degree be P(A).

P(A) = 0.21

Let the probability of earning a degree by the people whose race is white be P(B).

P(B) = 0.58

Let the probability of earning an associate's degree by the people whose race is white be P(C).

P(C) = 0.12

P(C) = P(A∩B)

We need to find the conditional probability that a degree is earned by a person whose race is white, given that it is an associate's degree.

P(B/A) = P(A∩B)/P(A)

P(B/A) = 0.12/0.21

P(B/A) = 0.571

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One of the questions you asked were:

Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.

Answer: V=a^3 or V ~ 30.96

Answer:

b

Step-by-step explanation:

since i helped can i have brainlist please :D

The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

Definition:

A line is a one-dimensional figure, characterized by its length but no width (thickness). A line is made of a set of points which is extended in opposite directions infinitely.

A line is determined by two points in a two-dimensional plane such as the x-y plane.

The graph of a function can be represented by a line because all points on the line provide a solution to the function. Such functions are usually linear functions.

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Answer: can i have the brains? ;)

Step-by-step explanation:

Answer:

20 questions

Step-by-step explanation:

Given

\(Correct \Marks= +5\)

\(Incorrect\ Marks= -2\)

\(Score\ Obtained = 30\)

\(Number\ of\ correct\ answers = 10\)

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

\(Total = +5 * 10\)

\(Total = +50\ marks\)

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

\(Incorrect = Scores\ Obtained - Total\)

\(Incorrect = 30 - (+50)\)

Open bracket

\(Incorrect = 30 - 50\)

\(Incorrect = -20\)

Divide this by -2 to get the number of incorrect answers

\(Incorrect\ Answers = \frac{-20}{-2}\)

\(Incorrect\ Answers = 10\)

Add this to the number of correct answers to give the total number of question answered

\(Total = Correct\ Answers + Incorrect\ Answers\)

\(Total = 10 + 10\)

\(Total = 20\)

Hence, Roy answered a total of 20 questions

Answer:

Step-by-step explanation:

132°

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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This equation can be used to analyze the error of the backward Euler method directly for the model problem (4.3) with x an arbitrary real constant. The backward Euler method is a numerical method for solving ordinary differential equations (ODEs). It is an implicit method, meaning that it requires the solution of a nonlinear equation at each time step.

The error of the backward Euler method can be analyzed directly for the model problem (4.3) with x an arbitrary real constant. The backward Euler solution of the problem is given by the formula (4.10).

The backward Euler method is given by:
y_n+1 = y_n + h*f(t_n+1, y_n+1)

Where h is the time step, f is the function defining the ODE, t_n is the current time, and y_n is the current solution. The backward Euler method is an implicit method because it requires the solution of the nonlinear equation f(t_n+1, y_n+1) = 0 at each time step.

The error of the backward Euler method can be analyzed directly for the model problem (4.3) with x an arbitrary real constant. The model problem is given by:
y' = x*y

The exact solution of this problem is given by:
y(t) = y_0*exp(x*t)

The backward Euler solution of the problem is given by the formula (4.10):
y_n+1 = y_n/(1 - h*x)

The error of the backward Euler method is given by the difference between the exact solution and the numerical solution:
e_n = y(t_n) - y_n

By substituting the exact solution and the numerical solution into the error equation, we can analyze the error of the backward Euler method directly:
e_n = y_0*exp(x*t_n) - y_n

By rearranging the terms and using the formula for the numerical solution, we can obtain an equation for the error:
e_n = (y_0*exp(x*t_n) - y_n)/(1 - h*x)

This equation can be used to analyze the error of the backward Euler method directly for the model problem (4.3) with x an arbitrary real constant.

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Answer:

Question 2: A. Overlapping lines.

The equations are identical; and if we would treble the first equation, we get the second equation.

Question 3: B. Multiply the second equation by -3 to get \(-3x - 12y = -48\)

Answer:

D

Step-by-step explanation:

Answer:

y = - x + 6

Step-by-step explanation:

Answer:

22-17

Step-by-step explanation: the sequence is going by -5

Answer:

Children: 51

Adults: 259

Step-by-step explanation:

Children = c Adults = a

$1.25 c + $2.00 a = $581.75

$1.25 c + $2.00 (310 - c) = $581.75

Multiply: $2.00 * 310 to get $620

Multiply: $2.00 * - c to get - $2.00 c

$1.25 c + $620 - $2.00 c = $581.75

Subtract both sides by $620

-$0.75 c = -$38.25

Divide both sides by -0.75

We now know there are 51 children.

Overall, there are 310 people so we subtract:

310 - 51 = 259

This means:

To check our answer:

51 * 1.25 = 63.75

259 * 2.00 = 518

518 + 63.75 = $581.75

D. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation: It is reflection because it is the same thing just reflected

Answer:

Vertical reflection of MNOP quadrilateral

Step-by-step explanation:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection

The solution to the linear programming problem is:

Maximum value of z = 120

x₁ = 0, x₂ = 6

To solve the given linear programming problem using the graphical method, we first need to plot the feasible region determined by the constraints and then identify the optimal solution.

The constraints are:

x₁ + x₂ ≥ 12

x₁ + x₂ ≤ 6

x₁, x₂ ≥ 0

Let's plot these constraints on a graph:

The line x₁ + x₂ = 12:

Plotting this line on the graph, we find that it passes through the points (12, 0) and (0, 12). Shade the region above this line.

The line x₁ + x₂ = 6:

Plotting this line on the graph, we find that it passes through the points (6, 0) and (0, 6). Shade the region below this line.

The x-axis (x₁ ≥ 0) and y-axis (x₂ ≥ 0):

Shade the region in the first quadrant of the graph.

The feasible region is the overlapping shaded region determined by all the constraints.

Next, we need to find the corner points of the feasible region by finding the intersection points of the lines. In this case, the corner points are (6, 0), (4, 2), (0, 6), and (0, 0).

Now, we evaluate the objective function z = 15x₁ + 20x₂ at each corner point:

For (6, 0): z = 15(6) + 20(0) = 90

For (4, 2): z = 15(4) + 20(2) = 100

For (0, 6): z = 15(0) + 20(6) = 120

For (0, 0): z = 15(0) + 20(0) = 0

From the evaluations, we can see that the maximum value of z is 120, which occurs at the corner point (0, 6).

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Answer:

The 2 values that makes the function equal to 18 is 3 and -6

Step-by-step explanation:

First you can convert the quadratic equation from standard form to root form

Step 1: Substitute f(g) = 18

Step 2: Move 18 to the other side to create

0 = g² + 3g - 18

Step 3: Now we rearrange equation from standard form into root form

Step 4: Find what adds to 3 and multiples to -18

-3 and 6 adds to 3 and multiples to -18

Step 5: Now we substitute -3 and 6 into the root equation

0 = (g-3)(g+6)

Step 6: Set the brackets to 0 and solve

g - 3 = 0

g = 3

g + 6 = 0

g = -6

Answer: x = 8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

10= -1/4x+12

move the 12 to the other side

10-12= -1/4x

-2= -1/4x

divide -1/4 by both sides

8=x