Which expressions are equivalent to the expression 3x2 - 5a3+2y4?

It is not possible to determine the area of square 3 based on the information given. The area of a square is determined by its side length, which is not mentioned in the problem. In order to find the area of a square, you need to know the length of at least one side. The perimeter of a square, which is the total length of all its sides, is not sufficient to determine the area of the square. You would need to know the side length of square 1 in order to calculate its area.

Answer:400

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

The choice is between b and d. Why. Because the blue graph is to the left of the red one.

You have to learn the meaning of compressed. A better word might be narrows.

Answer

B

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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Answer:

x4+7x3-2x2-9x-3 remainder -10

or we could write it as

x4+7x3-2x2-9x-3 - 10/(x+8)

Step-by-step explanation:

x+8 ) x5+15x4+54x3−25x2−75x−34 (x4+7x3-2x2-9x-3  <--- Quotient.

        x5+ 8x4

                7x4+54x3

                7x4+56x3

                         -2x3-25x2

                         -2x3-16x2

                                    -9x2-75x

                                    -9x2-72x

                                               -3x-34

                                               -3x-24

                                                     -10  <--- Remainder.

Answer:

15=3(4+s); s=1

Step-by-step explanation:

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

\((\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-21}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-21}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-7)}}}\implies \cfrac{-26}{6+7}\implies \cfrac{-26}{13}\implies -2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-7)}) \\\\\\ y-5=-2(x+7)\implies y-5=-2x-14\implies y=-2x-9\)

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.

Answer:

x = -2 and -1

Step-by-step explanation:

x^2 + 3x + 2 = 0

Factorizing the given equation:

x^2 + 3x + 2 = 0

x^2 + 2x + x+ 2 = 0

x(x+2)+1(x+2) = 0

(x+2) (x+1)= 0

x+2 = 0 and x+1 = 0

x = -2 and -1

This is the best approximation to \(z\) by the given vectors:

                  ẑ = \(\left[\begin{array}{ccc}33/14\\0\\-11/14\\-11/7\end{array}\right]\)

The best approximation theory focuses on how complex functions can be effectively connected to simpler ones and quantifies the faults introduced as a result. It's important to keep in mind that the solution that is offered as the best and simplest will depend on the problem that is being addressed.

Here, the vectors \(v_{1}\) and \(v_{2}\) are covered by the vector \(z\):

                   \(z = \left[\begin{array}{cccc}3\\3\\0\\-1\end{array}\right]\)     \(v_{1} = \left[\begin{array}{cccc}3\\0\\-1\\-2\end{array}\right]\)     \(v_{2} = \left[\begin{array}{cccc}3\\-2\\3\\3\end{array}\right]\)

Using the following formula, we will determine the unit vector ẑ:

                   ẑ = \((\frac{z.v_{1} }{v_{1}.v_{1}} )v_{1}+(\frac{z.v_{2} }{v_{2}.v_{2}} )v_{2}\)

                   \(c_{1} =\frac{z. v_{1} }{ v_{1} . v_{1} }\)

                   \(c_{1} =\frac{z. v_{2} }{ v_{2} . v_{2} }\)

The remaining combinations can be found as straightforward dot products:

\(v_{1} .v_{2}\) = (3)(3) + (0)(-2) + (-1)(3) + (-2)(3) = 9 + 0 - 3 - 6 = 0

\(z.v_{1}\)  = (3)(3) + (3)(0) + (0)(-1) + (-1)(-2) = 9 +0 + 0 + 2 = 11

\(z.v_{2}\)  = (3)(3) + (3)(-2) + (0)(3) + (-1)(3) = 9 - 6 + 0 - 3 = 0

\(v_{1} .v_{1}\) = (3)(3) + (0)(0) + (-1)(-1) + (-2)(-2) = 9 + 0 + 1 + 4 = 14

\(v_{2\\} .v_{2}\) = (3)(3) + (-2)(-2) + (3)(3) + (3)(3) = 9 + 4 + 9 + 9 = 31

Now, Inputting these values in \(c_{1}\) and \(c_{2}\):

                  \(c_{1} = \frac{v_{1}.z}{v_{1}.v_{1}}\) = 11/14

                   \(c_{1}\) = 11/14

                  \(c_{2} = \frac{z. v_{2} }{ v_{2} . v_{2} }\) = 0/31

                   \(c_{2}\) = 0

Hence,

                   ẑ = \((\frac{z.v_{1} }{v_{1}.v_{1}} )v_{1}+(\frac{z.v_{2} }{v_{2}.v_{2}} )v_{2}\)  =  \(\frac{11}{14} v_{1}+0v_{2}\)

                   ẑ = \(\frac{11}{14} \left[\begin{array}{ccc}3\\0\\-1\\-2\end{array}\right]\)

This is the best approximation to \(z\) by the given vectors:

                  ẑ = \(\left[\begin{array}{ccc}33/14\\0\\-11/14\\-11/7\end{array}\right]\)

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When a transversal cuts through a pair of parallel lines, it creates pairs of angles with special properties.

The complete proof is:

From the question, we have the following given parameter

\(\mathbf{\angle 2\ and\ \angle 5}\) are supplementary angles

So, the first blanks are:

Next, we have:

\(\mathbf{\angle 3 \cong \angle 2}\)

This is because both angles are vertical angles

So, the second blank is: vertical angle theorem.

Also,

Angles 3 and 5 are supplementary angles because they add up to 180 degrees, and they are both at the same interior side of the transversal.

So, the third blank is Same side interior angle.

The above highlights mean that \(\mathbf{l \ ||\ m}\) has been proved.

So, the last blanks are:

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The dude above me is 100% correct

Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

As a result, the vector x whose coordinate vector relative to the basis B is [5 4] in R² is (45/11, -54/11).

A vector is a matrix that has only one row or one column. A row vector is a matrix with only one row. Example Because it only contains one row, the matrix is a row vector. A column vector is a matrix with only one column. A vector is a quantity linear array. A matrix is a two-dimensional array of values. Tensors are three-dimensional and higher-dimensional arrays that exist. A matrix can be thought of as a sequence of column vectors, but it can also be thought of as a sequence of row vectors; both interpretations are valid.

Here,

To find the vector x in R² whose coordinate vector relative to the basis B is [5 4], we need to express the vector x as a linear combination of the basis vectors [5 -6] and [-7 2].

Using the formula [x]_B = [5 4] = a[5 -6] + b[-7 2], where a and b are scalars, we can solve for a and b:

5 = 5a - 6b

4 = -7a + 2b

Solving for a and b using the system of equations:

a = 9/11

b = 14/11

So, x = 9/11 [5 -6] + 14/11 [-7 2] = (45/11, -54/11).

So, the vector x whose coordinate vector relative to the basis B is [5 4] is (45/11, -54/11) in R².

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Answer:

4 chairs at each table and 1 leftover

Step-by-step explanation:

9 goes into 37 four times and there is a remainder of one (37-36 = 1).

Answer: 4 chairs at each table one chair leftover

Step-by-step explanation:

37 / 9 = 4.1 r

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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0.120 is the probability that if 8 workers are selected.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

                 The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. The probability formula is presented as follows P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

(8 5)(0.4)^5(1-0.4)^8-5,

= 0.120

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Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

The surface area of prism would be, 352 square inches

We know that;

Surface are of rectangular prism = 2(lb + bh + lh)

Where, l - Length of prism

b - width of prism

h - Height of prism

Here, It is given that, a rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height.

To find the surface area of prism

l = 12 inches

b = 8 inches

h = 4 inches

Hence, We get;

surface area =  2(lb + bh + lh)

                    = 2(12 x 8 + 8 x 4 +12 x 4)

                    = 2(96 + 32 + 48)

                     = 352 square inches.

Therefore, the surface area of prism = 352 square inches

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9514 1404 393

Answer:

  n + 5 > 11

Step-by-step explanation:

When 5 is added to a number n, the expression representing that sum is ...

  5 + n

When that is greater than 11, the expression representing that comparison is ...

  5 + n > 11

Step-by-step explanation:

sorry jesica I don't know the answer

Answer:

120 to 30 cars to SUVs, 120 to 150 cars to vehicles, 30 to 150 SUVs to vehicles, 4 to 1 cars to SUVs

Let's use the number 100 here.

100 increased by 25% is 125.

125 to 100 is different though! 125/100 = 1.25 (1%) x 80 = 100

Therefore, decreased by 80%

Rested numbers in group is 33 out of 76.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

Total numbers in a group = 76.

44% of them were rested.

That is 44% of 76.

To find how many are rested we have to find the value in numbers.

Convert 44% of 76 to numbers.

For this, it can be written as

\(\frac{44}{100} *76\) = 33.44

Therefore 44% of 76  ≅ 33 numbers.(approximately)

Hence, rested numbers in group is 33.

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Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

Circumcenter of a triangle is obtained by drawing perpendicular bisectors of the sides of a triangle. Hence GE is perpendicular to AC.

Therefore, m∠GEA = 90°

Answer:

75mm

Step-by-step explanation:

average = sum of all number ÷ the amount of number

average = 90mm + 74mm + 112mm+ 30mm + 100mm + 44mm = 450mm ÷ 6

average = 75mm

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