A rectangular sandbox is 3 feet by 4 feet. The depth of the box is 8 inches, but the depth of the sand is 3/4 of the depth of the box. Find each measure to the nearest tenth.

a. the surface area of the sandbox assuming there is no lid

Answer:

a = 15

t = 5

Step-by-step explanation:

\( \frac{12}{a} = \frac{16}{20} \\ \\ 16a = 12 \times 20 \\ \\16 a = 240 \\ \\ a = \frac{240}{16} \\ \\ a = 15 \\ \\ \\ \frac{2}{8} = \frac{t}{20} \\ \\ 8t = 40 \\ \\ t = \frac{40}{8} \\ \\ t = 5\)

Answer:

last option

Step-by-step explanation:

It will take 200 / 5 = 40 months for Sara's phone to lose all its value, therefore, the domain is 0 ≤ t ≤ 40 because you can't have negative months. Since negative money is not a thing, the range has to be 0 ≤ V(t) ≤ 200 because it stops at 0 and starts at 200.

The cofactor of A is C = [-3 0; 0 -46], and the determinant of A is -3.

The cofactor of each element in a 2x2 matrix is found by switching the signs of the elements in the determinant when the sum is taken (i.e. changing the sign of one element in the determinant if it is in an odd-numbered row or column).

For a 2x2 matrix A = [a b; c d], the determinant is given by det(A) = ad - bc.

For the given matrix A = [1 1 47; 1 2 2; 2 5 1], the cofactor matrix C is found by finding the determinant of each 2x2 sub-matrix obtained by excluding one row and one column of A.

C = [(-1)(2-5) (1)(2-2); (1)(1-1) (-1)(1-47)].

C = [-3 0; 0 -46].

To find the determinant of A using the cofactor matrix C, we take the sum of the products of the elements in each row of A and the corresponding elements in each column of C.

det(A) = 1*-3 + 10 + 470 + 10 + 20 + 2*-46 = -3.

So the determinant of A is -3.

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Answer:

On the circle

Step-by-step explanation:

Graph it

Answer:

On the circle.

Step-by-step explanation:

I recommend using a visual.

Step-by-step explanation:

18 seconds to hour

18÷3600= 0.005 hour

accelerstion= velocity÷ time

60 mph÷ 0.005 = 12,000m/h^2

the standard error of the distribution is 0.0479 (rounded to four decimal places).

Given that the true proportion of voters in the county who support a restaurant tax is 0.38, and we want to consider the sampling distribution for the proportion of supporters with a sample size of n = 102.

The mean of the sampling distribution is equal to the true proportion, which is 0.38.

The standard error of the sampling distribution is given by the formula:

Standard error = \(\sqrt{ [(p * (1-p)) / n]}\)

where p is the true proportion, and n is the sample size.

Plugging in the values, we get:

Standard error = \(\sqrt{[(0.38 * (1-0.38)) / 102]}\)

= \(\sqrt{[(0.38 * 0.62) / 102]}\)

= \(\sqrt{ [0.002296]}\)

= 0.0479 (rounded to four decimal places)

Therefore, the standard error of the distribution is 0.0479 (rounded to four decimal places).

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The given equation is

We multiply 8 by each term in the bracket on the right side

Then we used the distributive property

The answer is D

The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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The problem at hand involves predicting demand for items in a store to maximize expected profit. The store purchases b items in anticipation of random demand Y,

To solve the problem, we consider the expected loss function L(y, b), which takes into account the profit and loss associated with different levels of demand. If y is less than or equal to b, the loss is calculated as -πy + λ(b-y), representing the profit from items sold (πy) minus the loss from unsold items (λ(b-y)). If y is greater than b, the loss is simply -πb, indicating the loss from stocking excess items.

By minimizing the expected loss, denoted as r(b) = E[L(Y, b)], we can determine the optimal value of b that maximizes expected profit. Using calculus, we can differentiate r(b) with respect to b and set it to zero to find the critical points. By solving for b, we obtain the least integer y such that P(Y ≤ y) ≥ π/(λ+π), where P(Y ≤ y) represents the cumulative distribution function (CDF) of the demand variable Y.

In essence, this approach allows us to identify the optimal number of items to purchase by finding the threshold demand level where the cumulative probability exceeds a specific threshold based on the profit and loss considerations. This threshold is commonly referred to as the kth percentile of the demand distribution, where k represents the desired profit-to-loss ratio π/(λ+π).

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The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v

We have been given her steps that she used to solve for y.

We need to find an error in the steps.

First we solve given literal equation for y.

(x + 3y) / 2 = 40v

x + 3y = 40v × 2                     .................(Multiply both the sides by 2)

x + 3y = 80v

x + 3y - x = 80v - x                 ...................(Subtract x from both the sides)

3y = 80v - x

y = (80v - x)/3                          ............(Divide each side by 3)

If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.

Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

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An 1 οr perhaps an even integer will be drawn back 75% οf the times frοm the set οf 1, 2, 3 and 4. Thus, Prοbability P(nοt even) is 75%.

Prοbability is the likelihοοd that sοmething will οccur οr the prοbability that sοmething will happen. Prοbability is the measure οf hοw prοbable it is that a cοin will land heads up after being tοssed intο the air.

As prοbabilistic arguments sοmetimes prοduce οutcοmes that appear cοntradictοry οr illοgical, prοbability is usually regarded as amοng the mοst challenging tοpics οf mathematics.

P(1) = 1/4(there is one card with a 1)

P(even) = 2/4 = 1/2 (there are 2 cards with even numbers out of 4)

Therefore,

P( 1 or even) =P(1) + P(even)

= 1/4 + 1/2

= 3/4

To express the answer as a percentage, we can multiply by 100:

P(1 or even) = 3/4 × 100%

=> 75%

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You pick a card at random. card 1, card 2 and card 3

What is P(not even)?

Write your answer as a fraction or percentage.

Answer:

yeeseesss..........

Answer:

Roumbouses

Step-by-step explanation:

Hope this helps

Answer:

its #3 rhombuses

Step-by-step explanation:

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

its upside down if you flip it people will see it better

Answer:

D (1,-2)

Step-by-step explanation:

This is the point of intersection aka meeting point.

Regardless of the appearance of the normal distribution or the size of the standard deviation, approximately less than 2.98% of observations consistently fall within two deviations types (one high and one low).

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. In graphical form, the normal distribution is represented by a "bell curve".

The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the mean of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases. Therefore, physical quantities assumed to be the sum of many independent processes, such as measurement errors, tend to have a near-normal distribution.

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Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

Hello!

The correct answer is: \(\boxed{ \bf Two~planes~intersect~in~a~line~sometimes.}\)

______________________________________________

This is because when two lines cross each other, they intersect at one point.

When they're parallel, they never intersect, and when they're not parallel, they only intersect at one point.

Answer:

  7+√3 ≈ 8.732 meters

Step-by-step explanation:

Given a rectangle with a perimeter of 28 meters and an area of 46 square meters, you want to know the length of the longest side.

The sum of the lengths of two adjacent sides is (28 m)/2 = 14 m.

We can use this relation in the area formula. For longest side x, we have ...

  A = LW

  46 = x(14 -x)

  x² -14x = -46 . . . . . multiply by -1, simplify

  (x -7)² = -46 +49 . . . . add 49 to complete the square

  x = 7 +√3 . . . . . . . take the positive square root, add 7

The longest side is 7+√3 ≈ 8.732 meters.

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A rectangle with perimeter is 28 meters and area is 46 square metersthen the longest side of the rectangle is 11 meters.

Let's assume the length of the rectangle is L meters and the width is W meters. The perimeter of a rectangle is given by the formula P = 2L + 2W. In this case, we are given that the perimeter is 28 meters, so we can write the equation as 28 = 2L + 2W.

The area of a rectangle is given by the formula A = L× W. In this case, we are given that the area is 46 square meters, so we can write the equation as 46 = L×W.

We can solve these two equations simultaneously to find the values of L and W. Rearranging the perimeter equation, we get 2L = 28 - 2W, which simplifies to L = 14 - W. Substituting this value into the area equation, we have 46 = (14 - W)× W.

Simplifying further, we get \(46 = 14W - W^2\). Rearranging this equation, we have \(W^2 - 14W + 46 = 0\). Solving this quadratic equation, we find that W = 7 ± √(3). Since the width cannot be negative, we take W = 7 + √(3).

Substituting this value back into the perimeter equation, we get

28 = 2L + 2(7 + √(3)). Solving for L, we find L = 7 - √(3).

Therefore, the longest side of the rectangle is the length, which is approximately 11 meters.

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Answer:

x = 2.25

Step-by-step explanation:

-3x + 10 = 5x - 8

add 3 to 5x, add 8 to 10

18 = 8x

divide 18 by 8

x = 18/8 = 2.25

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

The Laplace transform of the given convolution, **e^(-t) * e^t * cos(t)**, is s/(s^2 - 1).

The Laplace transform of the convolution of two functions, **e^(-t) * e^t * cos(t)**, can be evaluated using Theorem 7.4.2. The Laplace transform of the convolution of two functions is equal to the product of their individual Laplace transforms.

To evaluate the given Laplace transform, we can start by finding the Laplace transform of each function separately. Let's consider the Laplace transform of **e^(-t)**, **e^t**, and **cos(t)**.

1. Laplace transform of e^(-t):

Using the formula for the Laplace transform of an exponential function, we have:

L{e^(-t)} = 1/(s + 1)

2. Laplace transform of e^t:

The Laplace transform of e^t is straightforward and can be expressed as:

L{e^t} = 1/(s - 1)

3. Laplace transform of cos(t):

We can use the Laplace transform property for cosine function to find its transform:

L{cos(t)} = s/(s^2 + 1)

Now, applying Theorem 7.4.2, we can find the Laplace transform of the given convolution.

L{e^(-t) * e^t * cos(t)} = L{e^(-t)} * L{e^t} * L{cos(t)}

                           = (1/(s + 1)) * (1/(s - 1)) * (s/(s^2 + 1))

Simplifying this expression, we can obtain the final Laplace transform:

L{e^(-t) * e^t * cos(t)} = s/(s^2 - 1)

Therefore, the Laplace transform of the given convolution, **e^(-t) * e^t * cos(t)**, is **s/(s^2 - 1)**.

By utilizing Theorem 7.4.2, we have evaluated the Laplace transform without evaluating the convolution integral beforehand.

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Answer:

u = 56

Step-by-step explanation:

the midsegment QS is half the length of the third side PT , that is

QS = \(\frac{1}{2}\) PT ( substitute values )

u - 28 = \(\frac{1}{2}\) u ( multiply through by 2 to clear the fraction )

2u - 56 = u ( subtract u from both sides )

u - 56 = 0 ( add 56 to both sides )

u = 56

The statement is false, the behavior is recorded in discrete intervals of time

In interval recording procedures, the behavior is recorded in discrete intervals of time within the observation period rather than consecutive periods.

Interval recording involves dividing the observation period into equal time intervals and recording whether the behavior occurs or not during each interval.

This method provides an estimate of the occurrence of behavior during specific time segments rather than continuous monitoring of behavior throughout the entire observation period.

So the statement is false.

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Answer:

1) B

2) C

Step-by-step explanation:

Question 1)

We have the function:

\(y=2x^2+24x-16\)

Note that this is in the standard quadratic form:

\(y=ax^2+bx+c\)

Unfortunately, since this isn't in vertex form, we need to do a bit more work for our vertex.

Remember that we can find our vertex using the following formulas:

\(x=-\frac{b}{2a},\ y=f(-\frac{b}{2a})\)

Let's label our coefficients. Our a is 2, b is 24, and c is -16.

Let's find our vertex. Substitute 24 for b and 2 for a. This yields:

\(x=-\frac{24}{2(2)}\)

Multiply:

\(x=-\frac{24}{4}\)

Divide:

\(x=-6\)

So, the x-coordinate of our vertex is -6.

Now, to find the y-coordinate, we simply need to substitute x for our equation. We have:

\(y=2x^2+24x-16\)

Substitute -6 for x:

\(y=2(-6)^2+24(-6)-16\)

Evaluate. Square:

\(y=2(36)+24(-6)-16\)

Multiply:

\(y=72-144-16\)

Subtract. So, the y-coordinate of our vertex is:

\(y=-88\)

So, our vertex point is (-6, -88).

Remember that the axis of symmetry is the same as the x-coordinate of our vertex. So, our axis of symmetry is at x=-6.

Therefore, our answer is B.

Question 2)

We have the equation:

\(y=-2x^2+8x-20\)

Again, we can use the above formula. Let's label of coefficients.

Our a is -2, b is 8, and c is -20.

So, let's find the x-coordinate of our vertex:

\(x=-\frac{b}{2a}\)

Substitute 8 for b and -2 for a:

\(x=-\frac{8}{2(-2)}\)

Multiply:

\(x=-\frac{8}{-4}\)

Divide. The negatives cancel. So, our x-coordinate is:

\(x=2\)

Now, substitute this back into the equation to find the y-coordinate:

\(y=-2(2)^2+8(2)-20\)

Square:

\(y=-2(4)+8(2)-20\)

Multiply:

\(y=-8+16-20\)

Add:

\(y=-12\)

Therefore, our vertex is (2, -12).

And the axis of symmetry is at x=2.

Our answer is C.

And we're done!

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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