In the diagram, which angle is an alternate exterior angle with angle 4?

An approximate solution to the equation f(x) = g(x) to the nearest quarter of a unit is; A: 2.5

We are given;

f(x) = ¹/₄x³ + 2x - 1

g(x) = [5^(x - 1)] - 3

Thus;

f(x) = g(x) gives;

¹/₄x³ + 2x - 1 = [5^(x - 1)] - 3

At x = 2, we have;

LHS = 5

RHS = 2

At x = 2.5, we have;

LHS = 7.90625

RHS = 8.180

The answer to the two sides are close and so we can adopt that.

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Answer:

for A=\(\frac{7b-7}{6}\) and for B=\(\frac{6a+7}{7}\)

Step-by-step explanation:

For A

\(\left(6a-3\right)=\left(7b-10\right)\)

\(6a-3+3=7b-10+3\)

\(6a=7b-7\)

\(\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}\)

\(a=\frac{7b-7}{6}\)

For B

\(\left(6a-3\right)=\left(7b-10\right)\)

\(7b-10=\left(6a-3\right)\)

\(7b-10=6a-3\)

\(7b-10+10=6a-3+10\)

\(7b=6a+7\)

\(\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}\)

\(b=\frac{6a+7}{7}\)

Answer:

D, The answer is D

Step-by-step explanation:

Answer:

I actually think its d because the slope is 1/4. Hopefully I'm correct.

Step-by-step explanation:

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Answer:

I'm assuming you want to know his commission for the day.

$945

Step-by-step explanation:

6300+.15= 945

Answer:

B. 12

Step-by-step explanation:

The length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The perimeter of a regular hexagon is 72 inches.

P = 6a

Here P is the perimeter and a is the side length of the hexagon

72 = 6a

a = 72/6

a = 12 inches

Thus, the length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

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if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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¿Cuanto tardara en tocar 10 campanadas?

Answer: 48

Step-by-step explanation:

We need to find the least common multiple of 12 and 16.

Finding the prime factorizations of 12 and 16,

\(12=2^{2} \times 3\\\\16=2^{4}\)

Thus, the least common multiple is \(2^{4} \times 3=\boxed{48}\)

True. In a recent nationwide poll by the Gallup organization, a sample of 1411 adults were randomly selected and surveyed. Of these, 16% reported being current smokers (of tobacco). The subjects in the poll consented to being interviewed, but this is not an example of a voluntary response survey

This is not an example of a voluntary response survey. In a voluntary response survey, individuals choose to participate or respond to the survey, which can introduce bias as certain groups may be more likely to respond than others. In the given scenario, the Gallup organization randomly selected and surveyed individuals, meaning the sample was not based on voluntary participation.

In the given scenario, a random sample of 1411 adults was selected and surveyed by the Gallup organization. The individuals in the sample consented to being interviewed. This type of survey is not an example of a voluntary response survey.

A voluntary response survey occurs when individuals self-select themselves to participate in the survey. In such surveys, individuals choose whether or not to respond, which can introduce bias and make the results less representative of the population. However, in this case, the Gallup organization took steps to randomly select individuals for the survey, ensuring a more representative sample. Therefore, it is not a voluntary response survey.

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Answer:212

Step-by-step explanation:

Answer:

It is 278cm

Step-by-step explanation:

Add 220cm and 58cm

To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

P(red or blue) = \(\frac{7}{16}\).

Step-by-step explanation:

We have to find P(A or B), if A and B are independent events for one action, such as spinning a four-color spinner once.

Firstly, as we know that the formula for finding P(A or B) is given by;

P(A or B) = P(A) + P(B) - P(A and B)

Since it is stated that event A and B are independent, this means that there is no dependence of any one event on another event, so;

P(A and B) = P(A) \(\times\) P(B)

Now, we can find P(A or B) = P(A) + P(B) - P(A) \(\times\) P(B); is we know that the probabilities of happening of both events.

Similarly, P(red or blue) = P(red) + P(blue) - P(red) \(\times\) P(blue).

Since the event is spinning a four-color spinner once and assuming there are four different colors, so the probability of wheel stopping on each color is (\(\frac{1}{4}\)).

So, P(red or blue) = \(\frac{1}{4} +\frac{1}{4} -(\frac{1}{4} \times \frac{1}{4} )\)

                             = \(\frac{2}{4} -\frac{1}{16}\)  = \(\frac{7}{16}\).

Answer:

150 divided by 8 which would give you 18.75

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice B if you subtract 3 feet from twice the smaller tree you should get the height of the taller tree.

Answer:

b

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

you need to count each tile

The minimum number of students needed in the student service department is: 2 between 8:00 AM and 10:00 AM; 3 between 10:01 AM and 11:00 AM; 4 between 11:01 AM and 1:00 PM; 3 between 1:01 PM and 5:00 PM.

The explanation provided states the minimum number of students needed to perform tasks in a student service department at different time intervals during the working hours of 8:00 AM to 5:00 PM.

Between 8:00 AM and 10:00 AM, a minimum of 2 students is required.

Between 10:01 AM and 11:00 AM, a minimum of 3 students is needed.

Between 11:01 AM and 1:00 PM, the minimum number of students increases to 4.

Between 1:01 PM and 5:00 PM, the minimum requirement decreases to 3 students.

These numbers indicate the minimum staffing levels needed to handle the workload and provide services effectively during the specified time intervals.

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Answer:

c = 4.5π inches   exact answer

c = 14.13 inches   decimal approximation

Step-by-step explanation:

c = πd

c = 4.5π    exact answer

using 3.14 for π

c = 3.14 * 4.5

c = 14.13    decimal approximation

Answer:

Linda can make 8 booklets in total

Step-by-step explanation:

The Whole numbers in mathematics are represented in the form of {0 , 1 , 2 , 3 , 4 , ... } .

The Whole Numbers are defined as a set of positive integers, including zero, which do not have a fractional or decimal component.  

The set of whole numbers is denoted by the symbol "W", and it can be expressed as : W = {0, 1, 2, 3, 4, 5, 6, ...}

In other words, the set of whole numbers is the set that starts with 0 and includes all the positive integers which can be obtained by repeatedly adding 1 to the previous number .

The Whole numbers are used to represent the quantities that cannot be divided into smaller parts.

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Answer:

x = 52y

Step-by-step explanation:

Answer:

D. K+2K=51

Step-by-step explanation:

Since Lauren is 2 times Kristy's age, Lauren's age=2K

so, if the sum of the two is 51, then 2K+K=51

If you want to solve it, 2K+K=3K=51

51/3=K

17=K

34=L

Answer:

D K + 2K = 51

Step-by-step explanation:

Lauren is twice Kristy's age so it would be 2K cause you want to multi[ly, and then you have to add Kristy's age in the equation because their ages added together is 51

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Answer:

I need. help to

Step-by-step explanation:

i dont now i need help to

To maximize profit, the firm should produce 20 units of COM1 computers and 10 units of COM2 computers.

To maximize profit, the firm needs to determine the number of each computer model to produce within the given constraints. Let's denote the number of COM1 computers produced as x and the number of COM2 computers produced as y.

We have the following constraints:

1. Cost constraint: The total weekly production costs cannot exceed Ghs 40,000.

  This can be expressed as:

  1200x + 1600y ≤ 40000

2. Labor constraint: The total number of computers produced in a week cannot exceed 30.

  This can be expressed as:

  x + y ≤ 30

We also have the profit function:

Profit = 600x + 700y

Now, let's formulate the linear programming problem:

Maximize: Profit = 600x + 700y

Subject to:

  1200x + 1600y ≤ 40000

  x + y ≤ 30

  x ≥ 0 (non-negativity constraint)

  y ≥ 0 (non-negativity constraint)

Solving this linear programming problem will provide the optimal values for x and y, which represent the number of COM1 and COM2 computers to produce, respectively.

To solve the linear programming problem completely, we need to graphically analyze the feasible region and identify the optimal solution.

Let's solve the problem step by step:

1. Convert the inequality constraints into equations:

  1200x + 1600y = 40000

  x + y = 30

2. Find the intercepts:

  For 1200x + 1600y = 40000:

  - When x = 0, y = 25

  - When y = 0, x = 33.33 (rounded)

  For x + y = 30:

  - When x = 0, y = 30

  - When y = 0, x = 30

3. Plot the feasible region using these intercepts:

  The feasible region is the shaded area in the graph below:

4. Identify the corner points of the feasible region:

  The corner points are:

  A: (0, 25)

  B: (0, 0)

  C: (30, 0)

  D: (20, 10)

5. Evaluate the profit function at each corner point:

  Profit at A: 600 * 0 + 700 * 25 = 17,500

  Profit at B: 600 * 0 + 700 * 0 = 0

  Profit at C: 600 * 30 + 700 * 0 = 18,000

  Profit at D: 600 * 20 + 700 * 10 = 19,000

6. Compare the profits and determine the maximum:

  The maximum profit is 19,000, which occurs at point B (20, 10).

Therefore, to maximize profit, the firm should produce 20 units of COM1 computers and 10 units of COM2 computers.

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The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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The reading on the y-axis when the time x =0 is 10

The definition of the function is given as

f(x) = 10 . (2)*

Rewrite the function properly

So, we have the following representation

f(x) = 10(2)ˣ

From the question, we understand that:

Time, x = 0

So, we substitute 0 for x in the equation f(x) = 10(2)ˣ

So, we have

f(0) = 10(2)⁰

Evaluate the exponent

f(0) = 10 * 1

So, we have

f(0) = 10

Hence, the value of the y-axis is 10

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Answer:

D. Survey every 10th customer to enter the store

plz mark as brainliest

Answer:

D. Survey every 10th customer to enter the store

Step-by-step explanation:

have a good day!

If six different colors of paint are available, 360 ways can the knobs be painted.

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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