a contractor is purchasing stone tiles for a new patio. Each tile cost $3, and he wants to spend between $600 and $900 inclusive. Write an inequality that represents the number of tiles he can purchase and then figure out the possible number of tiles he can purchase

Cosine is negative, we know that angle C is obtuse. Therefore, the triangle with sides 9, 15, and 19 is an obtuse triangle.

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

To determine whether a triangle with sides 9, 15, and 19 is acute or obtuse, we can use the Law of Cosines, which relates the sides and angles of a triangle:

c^2 = a^2 + b^2 - 2ab*cos(C)

where a, b, and c are the side lengths, and C is the angle opposite side c.

In this case, we have:

a = 9, b = 15, c = 19

Using the Law of Cosines, we can solve for the cosine of angle C:

cos(C) = (a^2 + b^2 - c^2) / 2ab

cos(C) = (9^2 + 15^2 - 19^2) / (2915)

cos(C) = -0.283

Since, cosine is negative, we know that angle C is obtuse. Therefore, the triangle with sides 9, 15, and 19 is an obtuse triangle.

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The correct option C.4 square root 13 units; is the obtained perimeter of the rhombus WXYZ.

The congruence of the sides is one of the characteristics of rhombuses.

As a result, we only need to use the distance formula to get the length with one side.

Using the distance formula, find one side as;

d = √(x₂ - x₁)² + (y₂ - y₁)²

The distance at line YZ is:

YZ = √(5 - 3)² + (5 - 2)²

YZ = √13

Perimeter = 4 x (length of one side)

Perimeter =  4 √13

Thus, the obtained perimeter of the rhombus WXYZ is 4√13 units.

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The correct question is-

What is the perimeter of rhombus wxyz?

A.square root 13 units

B.12 units

C.4 square root 13 units

D.20 units

The graph of the function f(t) for −3π ≤ t ≤ 3π can be sketched as follows:

For −π ≤ t < 0, f(t) = −2t − π, which forms a linear segment with a negative slope in the range from −π to 0.

For 0 ≤ t < π, f(t) = 2t − π, which forms a linear segment with a positive slope in the range from 0 to π.

The function repeats periodically with a fundamental interval of 2π, so the graph will continue to alternate between these two linear segments as t increases or decreases beyond the given range.

Based on the graph, we can observe that the function f(t) is an odd function because it exhibits symmetry about the origin. It satisfies the property f(-t) = -f(t) for all values of t.

(b) To calculate the Fourier series for f(t), we need to find the coefficients a0, an, and bn. The Fourier series for a periodic function f(t) is given by:

f(t) = a0/2 + Σ[ancos(nωt) + bnsin(nωt)]

In this case, the fundamental frequency ω = 2π/2π = 1, and the coefficients can be calculated as follows:

a0 = (1/π) * ∫[-π, π] f(t) dt = 0 (since f(t) is odd and the integral of an odd function over a symmetric interval is zero)

an = (1/π) * ∫[-π, π] f(t) * cos(nωt) dt = 0 (since the integrand is odd, the integral of the product with an even function is zero)

bn = (1/π) * ∫[-π, π] f(t) * sin(nωt) dt

For n = 1, we have:

bn = (1/π) * ∫[-π, π] f(t) * sin(t) dt

= (1/π) * [∫[-π, 0] (-2t - π) * sin(t) dt + ∫[0, π] (2t - π) * sin(t) dt]

Evaluating the integrals, we find:

bn = (1/π) * [-2∫[-π, 0] t * sin(t) dt - ∫[-π, 0] π * sin(t) dt + 2∫[0, π] t * sin(t) dt - ∫[0, π] π * sin(t) dt]

By integrating term by term, we can find the values of bn for n = 1 and higher.

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Griffin used $38 on his credit card as He had a $19 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost.

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

57-19 =38

Griffin used $38 on his credit card because he had a $19 credit that he applied toward the purchase, and then he paid the remainder with a credit card.

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Answer:

Science

Step-by-step explanation:

To calculate the percentages, divide the amount of correct answers by the amount of questions there are.

Math:

24/30=.8=80%

Science:

21/25=.84=84%

The science score is 4% higher.

Answer: slope is negative 1

Step-by-step explanation:

The procedures below must be carried out in order to use a compass and straightedge to create a line through a given point that is parallel to a given line:

1. Position the straightedge on the indicated line, and then draw a line segment through the indicated point.

2. Set the compass on the indicated point and draw two arcs that cross the line segment on either side without adjusting the compass's width.

3. Draw an arc that crosses the original line while maintaining the same compass width by setting the compass on one of the arcs' junction points.

4. Repetition of step 3 using the opposite arc's junction point.

5. Using the straightedge, draw a line between the indicated point to the locations where the

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Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

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Step-by-step explanation:

the answer is the last one, because if you plug in (5, -6) to both equations you would get equal answer.

Answer:

D

Step-by-step explanation:

5=x and -6=y so 5+-6 or 5-6=-1 so it makes the first equation true. Then plug it in to the second equation. (3)(5)--6 or (3)(5)+6 which = 15+6. 15+6=21. So both are true. Btw Im new to this hope this helps!

To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:

1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.

2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.

3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.

4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.

5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.

It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.

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The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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Answer:

I think its A=D but not sure

Answer:

115x=y

Step-by-step explanation:

The time to hit the ground is 9 seconds

The equation of the function is given as:

h(t) = -16t^2 + Initial height

The initial height is

Initial height = 1296 feet

So, we have:

h(t) = -16t^2 + 1296

When the ball hits the ground, the value of h(t) is 0

So, we have:

-16t^2 + 1296 = 0

This gives

-16t^2 = -1296

Divide both sides by -16

t^2 = 81

Take the square root of both sides

t = 9

Hence, the time to hit the ground is 9 seconds

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Answer:

Hello!

Mrs. George would receive $6.02 back from her purchase

Step-by-step explanation:

\(6.99\) ×\(2=13.98\)

\(20.00-13.98=6.02\)

Hope this helps!!

The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

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Answer:

1/4 for blue then 1/4 for red

Step-by-step explanation:

All colors have a 1/4 chance of landing on them since there are only 4 colors.

The heights of the bars of a histogram corresponding to frequency values.

This is further explained below.

Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.

When compared to spatial frequency, it is sometimes referred to as temporal frequency, and when compared to angular frequency, it is sometimes referred to as ordinary frequency.

Both of these names stress the difference between the two types of frequency.

In conclusion, The heights of the individual bars in a histogram correspond to the frequency values being shown.

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We can conclude that there is no profit-maximizing level of production, and the correct option is e.

None of the above.

Part A The given demand function of a commodity is Q = 20 - 0.01P, and the given cost function is C(Q) = 60 + 6Q.

We need to find out the total revenue function TR in terms of P.

Now, the total revenue is calculated by the multiplication of price and quantity.

Therefore, we can write that TR = P × QSubstituting the value of Q from the demand function, we get;TR = P (20 - 0.01P)TR = 20P - 0.01P²

Therefore, the correct option is c. TR = 20P - 0.01P².

Part BWe are given a production function that is Q = 300L - 4L, where L denotes the size of workforce.

We need to find out the value of the marginal product of labor when L = 9.

Marginal product of labor (MPL) can be calculated as the derivative of the production function with respect to L.

Therefore, we get;MPL = dQ/dL= 300 - 8LNow, substituting the value of L = 9, we get;MPL = 300 - 8(9)MPL = 300 - 72MPL = 228Therefore, the correct option is d. 228Part C

The given total revenue function is TR = 20Q - 4Q², and the given total cost function is TC = 16 - Q²/3.

We know that profit (π) can be calculated as π = TR - TC

Substituting the given values, we get;π = 20Q - 4Q² - (16 - Q²/3)π = -4Q² + (20 - Q²/3)π = -4Q² + 60/3 - Q²/3π = -13Q²/3 + 20Now, we can find the optimal value of Q by differentiating the profit function with respect to Q and equating it to zero.

Therefore, we get;dπ/dQ = -26Q/3 = 0Q = 0

Therefore, we can conclude that there is no profit-maximizing level of production, and the correct option is e.

None of the above.

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Let it be:

• x: The larger number.

• y: The smaller number.

Then, we can write the following system of equations:

To solve the system of equations, we can use the elimination method.

Step 1: Multiply by -3 the Equation 1.

Step 2: We add both equations.

Step 3: We solve the resultant equation.

Step 4: We replace the value of y in any of the initial equations. For example, in Equation 1. Then, we solve for x.

Therefore, the larger number is 16, and the smaller number is -14.

To keep up with the inflation, Mario would have to earn $91,175.98 in 2014. To get the answer, follow these steps:Let's first find the inflation rate between 2011 and 2014.

Using the CPI formula, we get the inflation rate as follows:Inflation rate = [(CPI in 2014 - CPI in 2011)/CPI in 2011] x 100Inflation rate = [(125.2 - 119.9)/119.9] x 100Inflation rate = (5.3/119.9) x 100Inflation rate = 4.42%Since Mario needs to keep up with the inflation, he should earn an amount that is increased by 4.42%. Therefore, we need to calculate what amount Mario should have earned in 2014 to keep up with the inflation:Amount in 2014 = Amount in 2011 x (1 + Inflation rate)Amount in 2014 = $88,000 x (1 + 0.0442)Amount in 2014 = $88,000 x 1.0442Amount in 2014 = $91,175.98 (rounded to the nearest cent)Therefore, Mario would have to earn $91,175.98 in 2014 just to keep up with inflation.

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Mario earned $88,000 in 2011. If the Consumer Price Index in 2011 was 119.9 and in 2014 it was 125.2, what did Mario have to earn in 2014 just to keep up with inflation?To calculate the inflation rate from 2011 to 2014, we will use the following formula:Inflation rate = ((CPI in 2014 - CPI in 2011) / CPI in 2011)) * 100Substituting the values, we get,

Inflation rate = ((125.2 - 119.9) / 119.9) * 100 = 4.43%Therefore, to maintain the same purchasing power, Mario needs to earn 4.43% more in 2014 than he earned in 2011.Using the following formula, we will calculate how much Mario has to earn in 2014.

Earnings in 2014 = Earnings in 2011 + (Inflation rate × Earnings in 2011)Earnings in 2014 = $88,000 + (4.43% × $88,000)Earnings in 2014 = $91,846.40Therefore, Mario would have to earn $91,846.40 in 2014 just to keep up with inflation.Answer: $91,846.40

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Answer:

put ur protactor from the middle to where its up to then look at where the line is and you will get your answer

Answer:

Step-by-step explanation:

1. PQR is an equilateral triangle formed by 3 diagonals of the cube. Therefore, it would be 60 degrees. 2. An angle which measures less than 90° is called an acute angle. The measure between 0° to 90°. In the picture below, the angle formed by the intersection of PQ and QR at Q forms an angle PQR which measures 45°. Thus, PQR is called an acute angle.

1) No one in the mathematics department drinks both grape milk and coffee.

2) The probability that a person selected at random from this class drinks both milk and coffee at breakfast is 0.

3) The odds that a person selected at random from this class drinks both milk and coffee at breakfast are 0 to 1.

Now, Let us assume that,

A be the set of people who drink grape milk, B be the set of people who drink coffee, and U be the set of all people in the mathematics department.

We have to given that,

|U| = 25,

|A| = 7,

|B| = 18,

and |A ∪ B'| = 4,

where B' is the complement of B.

Now, The number of people who drink both grape milk and coffee, we can use the formula:

|A ∩ B| = |A| + |B| - |A ∪ B|

|A ∩ B| = 7 + 18 - 25

|A ∩ B| = 0

Therefore, no one in the mathematics department drinks both grape milk and coffee.

Hence, the probability that a person selected at random from this class drinks both milk and coffee at breakfast,

P(A ∩ B) = |A ∩ B| / |U|

P(A ∩ B) = 0 / 25

P(A ∩ B) = 0

Therefore, the probability that a person selected at random from this class drinks both milk and coffee at breakfast is 0.

To find the odds that a person selected at random from this class drinks both milk and coffee at breakfast, we can use the formula:

odds(A ∩ B) = P(A ∩ B) / (1 - P(A ∩ B))

odds(A ∩ B) = 0 / (1 - 0)

odds(A ∩ B) = 0:1

Therefore, the odds that a person selected at random from this class drinks both milk and coffee at breakfast are 0 to 1.

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Step-by-step explanation:

We need to find the value of x for all problems if Y is between X and Z.

For all cases, XZ = XY+YZ

4. XY = 5x, YZ=x, and XZ=25

Putting all values

25 = 5x + x

25 = 6x

\(x=\dfrac{25}{6}\)

5. XY = 12, YZ=2x, and XZ = 28

28 = 12 + 2x

x = 8

6.  XY = 4x. YZ=3x, and XZ = 42

XZ = XY+YZ

42 = 4x + 3x

42 = 7x

x = 6

7. XY=2x + 1. YZ = 6x, and XZ=81

XZ = XY+YZ

81 = 2x + 1 + 6x

80 = 8x

x = 10

The inverse of each of the given matrices can be found using matrix inversion techniques. The inverse of matrix E is [7 -3 0; 0 1 0; -2 1 2]. The inverse of matrix F is [1 0 3; 0 1 0; 0 -1 2]. The inverse of matrix G does not exist as it is not a square matrix. The inverse of matrix H is [0 -1 0; 2 0 0; 0 0 1].

To find the inverse of a matrix, we need to determine whether the matrix is invertible (i.e., if its determinant is non-zero) and then apply the formula for matrix inversion.

For matrix E, the determinant is (7 * 1 * 2) + (3 * 0 * 0) + (0 * -1 * 0) - (0 * 1 * 2) - (-3 * 0 * 0) - (7 * 0 * -1) = 14.

Since the determinant is non-zero, the inverse exists. Using the formula for matrix inversion, we find the inverse of matrix E to be [7 -3 0; 0 1 0; -2 1 2].

For matrix F, the determinant is (1 * 1 * 2) + (0 * 0 * 3) + (3 * -1 * 0) - (0 * 1 * 0) - (1 * 0 * 0) - (0 * -1 * 3) = -1.

Since the determinant is non-zero, the inverse exists. Using the formula for matrix inversion, we find the inverse of matrix F to be [1 0 3; 0 1 0; 0 -1 2].

For matrix G, the determinant is (0 * 1 * 1) + (0 * 0 * 2) + (1 * 0 * 0) - (0 * 0 * 1) - (1 * 1 * 0) - (0 * 0 * 0) = 0.

Since the determinant is zero, the inverse does not exist.

For matrix H, the determinant is (0 * 0 * 0) + (1 * 0 * 2) + (0 * 2 * 0) - (0 * 0 * 0) - (0 * 0 * 2) - (1 * 1 * 0) = 0.

Since the determinant is zero, the inverse does not exist.

Therefore, the inverse of matrix E is [7 -3 0; 0 1 0; -2 1 2], the inverse of matrix F is [1 0 3; 0 1 0; 0 -1 2], the inverse of matrix G does not exist, and the inverse of matrix H does not exist.

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Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

First, let us study the definition of Atomic Mass,

Atomic mass -

So we can also conclude that the 1 atomic mass unit is equal to 1/12 of the mass of the C-12 atom

Therefore, option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

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The true statement about the sampling distribution is "the sampling distribution of a statistic is a distribution that we should approximate in exercise by taking many small samples."

The sampling distribution is the theoretical distribution of a statistic (including the imply, median, or variance) based totally on all viable samples of a given size that could be taken from a population. it is a beneficial idea in statistics as it allows us to make inferences approximately the populace based on records gathered from a pattern.

In practice, we can not examine the whole sampling distribution, as it's far based totally on all viable samples, which isn't always feasible to gain. but, we will approximate the sampling distribution by taking many small samples from the population and calculating the applicable statistic for every sample.

Because the variety of samples increases, the distribution of these data will converge to the sampling distribution, allowing us to make more accurate inferences approximately the population.

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