PLEASE HELPP
What must be true for lines a and b to be parallel lines select two options.

Answer:

126 mi²

Step-by-step explanation:

Surface Area of a Rectangular Prism :

Answer:

10.) If you buy all larger cans (aka the 7-gallon cans), you would have saved approx. $30.21

9.) Seth would need a score of 95% in order to average an 80%

Step-by-step explanation:

10.) It costs $15.50 per 5-gal. If you want to buy 45 gallons, it would cost you $139.50 if you bought 5-gallon cans.

It costs $17.00 per 7-gallon. If you want to buy 45 gallons, it would cost you $109.29 if you bought 7-gallon cans.

Now, let's compare prices. Buying 45 gallons worth of 7-gallon cans is less expensive by.... (139.50 - 109.29 = 30.21)

Therefore, you saved $30.21.

9.) An average is done by adding up all the numbers and dividing it by how many numbers you added it by. Let's write an equation to make things easier. So far, we don't know the score he needs to get on his fourth test so let's make it a variable x.

(82 + 68 + 75 + x) / 4 = 80

Let's solve for x.

(82 + 68 + 75 + x) / 4 = 80    *Multiply both sides by 4

82 + 68 + 75 + x = 320     *Add like terms

225 + x = 320    *Subtract 225 from boths to get x on one side

x = 95

By unitary method we can say that number of stacks of papers Lashona will pass back  from 140 if each stack conatins 28 papers is 5.

According to the given question.

Total number of papers Lashonna passed back = 140

And one stack is made up of 28 papers.

As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Therefore,

By unitary method number of stacks of papers would be made from 140 if each stack conatins 28 papers

= 140/28

= 5

Hence, by unitary method we can say that number of stacks of papers Lashona will pass back  from 140 if each stack conatins 28 papers is 5.

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Hello !

See attachment.

The statement "The determinant of a square matrix may be computed by cofactor expansion along any row or column" is True.

The determinant of a square matrix can be computed by cofactor expansion along any row or column. This is known as Laplace expansion or cofactor expansion.

To calculate the determinant of a given matrix , we can choose any particular row or column and multiply each element of that row or column by its corresponding cofactor. The cofactor of each element is calculated by taking the determinant of the submatrix obtained by deleting the row and column containing that element, and multiplying it by (-1) raised to the power of the sum of the row and column indices. The sum of these products gives the determinant of the original matrix.

While expanding along different rows or columns will give different expressions for the determinant, they will all yield the same numerical value. This property of determinants is called the multiplicative property. Therefore, the determinant of a matrix is invariant under elementary row operations.

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Answer:

Graph D

Step-by-step explanation:

We can look at the number of pounds of pecans and cashews, shown on the x- and y-axis, respectively.

All of the graphs have an x-intercept of (4, 0), meaning that the number of pecans being bought is 4 lbs.

Since pecans cost $6 per lb, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$6 · 4 lbs = $24

Let's look at the y-axis to see how many lbs of cashews Malik can buy. The y-intercept is (0, 3) for all graphs, meaning that 3 lbs of cashews are being bought.

Since cashews cost $8 per pound, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$8 · 3 lbs = $24  

The shaded area represents the values that can be used in the problem. Since we want $24 or less, the shaded region has to be below the line.

Malik can spend no more than $24, so the line should be solid since this means that the values the line touches are inclusive. 4 lbs of pecans and 3 lbs of cashews should be inclusive.

The graph that has all of these properties is Graph D.

Answer:

270,000,000

Step-by-step explanation:

2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation

To put it in standard notation

Multiply 2.7 by 10⁸, which is 100,000,000

Answer:

Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....

Step-by-step explanation:

heres a graph

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Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)

Let x be the height of the Monument. Then we have:

x / 285 = 5 / 2.5

Cross-multiplying, we get:

2.5x = 5 * 285

Simplifying, we get:

x = 570

Therefore, the Monument is 570 feet tall.

To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.

Set up a proportion using the height and shadow length of the tourist and the monument:

(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)

Let x represent the height of the monument. Then:

x / 285 = 5 / 2.5

Now, solve for x:

x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet

The height of the monument is 570 feet.

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

B. m = 2 6-4 = 2

-----. _. = 2

-4-4 = 0

This is because

This is found through trial and error.

This is for problem 1 only. Problems 2 through 6 will follow a similar structure.

Answer:

80+100=supplementary, right? A sup. angle is 2 angles making 180 digres.

To calculate the probability of rolling a sum of 4 on two dice, we need to first list all the possible outcomes of rolling two dice. There are 36 possible outcomes, since each die has 6 possible outcomes and there are 6 × 6 = 36 possible combinations.

Out of these 36 outcomes, there are three ways to get a sum of 4: rolling a 1 on the first die and a 3 on the second, rolling a 2 on the first die and a 2 on the second, or rolling a 3 on the first die and a 1 on the second. Therefore, the probability of rolling a sum of 4 is 3/36, which simplifies to 1/12 or approximately 0.0833.
Hi! I'd be happy to help you with this probability question involving two dice.

To find the probability of rolling a sum of 4, follow these steps:

1. Determine the total possible outcomes: Since each die has 6 sides, there are 6 x 6 = 36 possible outcomes when rolling two dice.

2. Identify the favorable outcomes that result in a sum of 4: These are (1, 3), (2, 2), and (3, 1). There are 3 favorable outcomes.

3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.

Probability = (Favorable outcomes) / (Total possible outcomes) = 3 / 36 = 1 / 12

So the probability of rolling a sum of 4 when rolling two dice is 1/12 or approximately 8.33%.

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

red box       5, 3, 0, -9, 4, 0, 2, -37

Step-by-step explanation:

The intervals where x is decreasing are (-∞, -1) and (1, +∞).

To determine the intervals where x is decreasing, we need to analyze the sign of the derivative of the function f(x) = -3x^2 - 6x + 45. The derivative of f(x) with respect to x is f'(x) = -6x - 6.

To find the critical points, we set f'(x) = 0 and solve for x:

-6x - 6 = 0

-6x = 6

x = -1

We now consider the sign of f'(x) in different intervals:

For x < -1, we can choose x = -2 as a test value. Plugging it into f'(x), we have:

f'(-2) = -6(-2) - 6 = 12 - 6 = 6 (positive)

For x between -1 and 1, we can choose x = 0 as a test value. Plugging it into f'(x), we have:

f'(0) = -6(0) - 6 = -6 (negative)

For x > 1, we can choose x = 2 as a test value. Plugging it into f'(x), we have:

f'(2) = -6(2) - 6 = -12 - 6 = -18 (negative)

From the sign analysis, we conclude that f'(x) is positive for x < -1, negative for -1 < x < 1, and negative for x > 1. Therefore, the intervals where x is decreasing are (-∞, -1) and (1, +∞).

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Answer:

at least 3

Step-by-step explanation:

(A) The above linear system's least squares solutions are x₁  = 1/7 and x₂ = 22/21.

(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.

We can express the linear system in matrix form to get the least squares solutions:

A * X = B

Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.

The following is a rewrite of the provided linear system:

| 3 -1 | | x1 | | 4 |

| 1 -2 | * | x2 | = | 3 |

| 2 3 | | 2 |

Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:

A^T * A * X = A^T * B

Where A^T is the transpose of matrix A.

First, let's calculate A^T * A:

= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |

= | 1 -2 |

= | 2 3 |

= | 14 -4 |

= | -4 14 |

Next, let's calculate A^T * B:

= | 3 1 2 | | 4 |

= | 3 |

= | 2 |

= | 17 |

= | 7 |

Let's now resolve the standard equation:

| 14 -4 | | x1 | | 17 |

| -4 14 | * | x2 | = | 7 |

Simplifying, we have:

14×1 - 4×2 = 17

-4×1 + 14×2 = 7

Solving this system of equations, we find:

x1 = 1

x2 = 2

So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.

Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.

(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:

Residuals = B - A * X

Substituting the values, we have:

| 4 | | 3 -1 | | 1 |

| 3 | - | 1 -2 | * | 2 |

| 2 | | 2 3 | |

| 4 | | 3 - (-1) | | 1 | | 5 |

| 3 | - | 1 - (-2) | * | 2 | = | 2 |

| 2 | | 2 - 3 | | -1 |

The least squares error vector is therefore [5, 2, -1].

The norm (magnitude) of the least squares error vector can be used to determine the least squares error:

Least squares error = ||Residuals||

We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.

As a result, the least squares error is roughly 30.

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the solution to the given IVP is: y(x) = -e^(-5x) + 3x * e^(-5x).

To solve the given IVP (Initial Value Problem), first, we need to find the general solution of the given differential equation:

3y'' + 30y' + 75y = 0

Step 1: Identify the characteristic equation.
The characteristic equation for this differential equation is:

3r^2 + 30r + 75 = 0

Step 2: Solve the characteristic equation.
Divide by 3:

r^2 + 10r + 25 = 0

Now, we can see that it is a perfect square:

(r + 5)^2 = 0

Thus, r = -5 (repeated root)

Step 3: Write the general solution.
Since we have a repeated root, the general solution will be in the form:

y(x) = C1 * e^(-5x) + C2 * x * e^(-5x)

Step 4: Apply the initial conditions.
y(0) = -1:

-1 = C1 * e^(0) + C2 * 0 * e^(0)
-1 = C1

y'(x) = -5C1 * e^(-5x) + C2 * e^(-5x) - 5C2 * x * e^(-5x)

y'(0) = 8:

8 = -5(-1) * e^(0) + C2 * e^(0)
8 = 5 + C2
C2 = 3

Step 5: Write the particular solution for the IVP.
y(x) = -1 * e^(-5x) + 3 * x * e^(-5x)

So, the solution to the given IVP is:

y(x) = -e^(-5x) + 3x * e^(-5x)

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According to the given data we have the following equations:

a. 6-x-3= 10

b. 100x + 300=200

c. 1/3x + 4 = x - 2

d. 36 - 2x = -x +2

To solve the equations we would have to make the following calculations:

a. 6-x-3= 10

-x=10-6+3

-x=4+3

-x=7

x=-7

b. 100x + 300=200

100x=200-300

100x=-100

x=-1

c. 1/3x + 4 = x - 2

1/3x=x-2-4

0.3333x=x-6

x-6-0.3333x=0

0.66667x=6

x=6/0.66667

x=9

d. 36 - 2x = -x +2

-x+2-36+2x=0

x+34=0

x=-34

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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Answer:

  1/5

Step-by-step explanation:

  medium = (1/2)(blue sale) = (1/2)(3/5)(blue) = (1/2)(3/5)(2/3)(all t-shirts)

  medium = 1/5(all t-shirts)

One-fifth of the shop's T-shirts are size medium blue shirts on sale.

if the population standard deviation is increased while the sample size is 28, the confidence interval will become wider. This is because there is more variability in the sample mean, and therefore more uncertainty in the estimate of the population parameter.

If the sample size is 28 and the population standard deviation is increased, there will be a direct impact on the confidence interval. This is because the confidence interval is calculated based on the sample mean and the standard deviation. If the population standard deviation is increased, it means that there is more variability in the population. This increase in variability will lead to wider confidence intervals.
A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. The width of the confidence interval is determined by the sample size, the standard deviation, and the level of confidence.
In this case, if the population standard deviation is increased, it means that the sample standard deviation will also increase. The sample mean will be relatively more variable than it would be if the population standard deviation was lower. This increase in variability will cause the confidence interval to become wider, as there is more uncertainty in the estimate of the population parameter.
In summary, if the population standard deviation is increased while the sample size is 28, the confidence interval will become wider. This is because there is more variability in the sample mean, and therefore more uncertainty in the estimate of the population parameter. It is important to note that increasing the sample size can help to reduce the impact of increased population standard deviation on the confidence interval, as a larger sample size provides more accurate estimates of the population parameter.

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\(\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}\)

Answer:

2.5777

Step-by-step explanation:

The 6 in "2.577681" is greater than 5, so the value increases by 1.

An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Cost of airline ticket = $40.

Increase in price = 200% of $40

Absolute increase = \(\frac{200}{100}* 40 = 80\)

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Answer:

15/4 or 3 3/4 or 3.75

Step-by-step explanation:

We can split it up like 225 (square root) divided by 16 (square root). If you recall squares, you will know 225 square root is 15, and 16 square root is 4. So 15/4 is the answer, or if you want to simplify 3 3/4, and decimal will be 3.75.