Find the equation of the exponential function represented by the table below.

Answer:

A.factor the left side of the equation

sorry but to tell u the answer, I need to know this

is there an equal sign between 9 and 10 or it's just a minus sign?

I mean if it is a minus sign the first thing to do to solve the equation is 9-10 which gives you -1. but if there is an equal sign the first step is to subtract 10 from both sides of the equation which means your answer will be option B.

Option B) If the sum of the squares of the two short sides equals the square of the longest side

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Based on the current workload, John's tasks for today, and the new interview request, I would rate the effectiveness of potential responses to Katie as: (0 hours) ignore the request.

Inductive reasoning can be defined as a process that involves drawing and arriving at a general conclusion (conjecture), especially by critically observing a pattern that's based on a sequence or specific instances.

An inference can be defined as a process through which a reader can deduce the meaning or message (information) that is associated with a subject matter in a literary work, especially through induction.

Based on the current workload, the tasks assigned to John for today, and the new interview request, I would rate the effectiveness of potential responses to Katie as (0 hours) ignore the request.

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Complete Question:

Katie (Sr. Recruiter): Hi, I understand this is last minute, but we just had an interviewer cancel on an interview for a candidate for your team. We need someone to fill in today to interview the candidate. This candidate is already on site and cannot be rescheduled. Would you be able to interview the candidate today? It would take about 2 hours.

Based on your current workload, John's tasks for today, and the new interview request, rate the effectiveness of potential responses to Katie (time required in parentheses; "1" Highly effective to "4" Ineffective). Note: Each response option can be used more than once.

(0 hours) Ignore the request.

(0.25 hours) Escalate to your manager.

(2.0 hours) Conduct the interview, no questions asked.

(0.5 hours) Try to find someone else who may be able to do it.

Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.

Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.

In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.

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Answer:

The answer is false! Good luck my guy

Step-by-step explanation:

3 to the power of 14

Step-by-step explanation:

you need to add the exponents together. When you multiply exponents you actually add them.

so \(3^{14}\) is your answer.

or 4783969 if you solve the whole thing

i hope this helps

Answer:

3 to the power of 14

Step-by-step explanation:

Answer:

it's blurry

Step-by-step explanation:

The probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

Given:

Mean (μ) = $387.20

Standard deviation (σ) = $68.50

To find the probability that a randomly selected airfare between Philadelphia and Los Angeles will be more than $450,

calculate the area under the normal distribution curve above the value of $450.

Step 1: Standardize the value of $450.

To standardize the value, we calculate the z-score using the formula:

z = (X - μ) / σ

z = ($450 - $387.20) / $68.50

z= 0.916

So, the area to the right of the z-score approximately equals 0.2033.

Therefore, the probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.

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

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be more than $450?

0.0788

0.1796

0.2033

0.3669

Examples of complex fraction are \(\frac{\frac{1}{4}}{\frac{3}{8}}\), \(\frac{\frac{1}{3}}{9}\), \(\frac{4}{\frac{2}{5}}\) etc.

The first and most common way to represent a fraction is with \(\frac{a}{b}\)

Where 'a' is the numerator and 'b' is the denominator.. A horizontal bar separates the numerator and denominator.

A complex fraction is one that contains fractions in the numerator, denominator, or both.

some examples of complex fractions are:

\(\frac{\frac{1}{4}}{\frac{3}{8}}\) , \(\frac{\frac{1}{3}}{9}\) , \(\frac{4}{\frac{2}{5}}\) etc.

Thus, an example of complex fraction is \(\frac{4}{\frac{2}{5}}\).

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The height of the cylinder is 0.955 meters, according to the stated volume and radius.

The volume of the cylinder is calculated using the formula -

V = πr²h, where V represents volume, r represents radius and h is the height of cylinder. Keep the values in formula to find the height

300 = π×10²× h

Keep the value of pi as 3.14 in the equation

h =

\( \frac{ {300} }{3.14 \times 100} \)

Performing multiplication in denominator

h = 300/314

Performing division on Right Hand Side of the equation

h = 0.955 meters

Thus, the height of the cylinder is 0.955 meters.

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The complete question is -

The volume of a cylinder is 300 m^3. The radius of the cylinder is 10 m. Find the height of the cylinder

Answer:

D. D is your answer.

Step-by-step explanation:

D is your answer because 2 is right next to the parentheses. Multiply. If this is wrong, I am so sorry. I really am, but that's what I got.

Hope this helps!

Sincerely,

Josiah Kumai

The probabilities for exact 8 and less than 8 calls can be obtained as  0.1009 and 0.1785 respectively.

Poisson distribution is applied for the case where the events occur in a specific period of time with constant rate.

The given case belongs to Poisson distribution,

It can be solved as follows,

(a) The probability of exactly 8 calls can be obtained as,

P(Exact 8 calls) =  \(e^{-\lambda} \lambda^{x}/x!\)

Where x = 8 and λ = 2.1 × 5 = 10.5.

Then, the probability is  obtained as,

⇒ e⁻⁸ × 10.5⁸/8!

⇒ 0.1009

It implies that if 100 calls are selected randomly for the interval of 5 minute, 10 calls can be expected.

(b)  The probability of less than 8 calls can be obtained as

P(Less than 8) = \(\sum_{x =1}^{7}e^{-\lambda}\lambda^{x}/ x!\)

⇒ P(Less than 8) = 0.1785

It implies that out of 100 randomly selected 5 minute calls, around 18 have less than 8 calls.

Hence, the required probabilities for the given case are 0.1009 and 0.1785 respectively.

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Hank will make a profit of approximately $1,088.88 if he cuts 16 yards in his lawn care business.

To calculate the profit Hank will make, we need to subtract his expenses from the total revenue generated by cutting 16 yards. Hank charges $97.00 per yard, so his total revenue would be $97.00 multiplied by 16, which equals $1,552.00.

Next, we calculate Hank's expenses. The maintenance cost for each yard is $7.26, so for 16 yards, the total maintenance cost would be $7.26 multiplied by 16, which equals $116.16. Similarly, the gasoline cost for each yard is $18.27, so for 16 yards, the total gasoline cost would be $18.27 multiplied by 16, which equals $292.32.

To find the profit, we subtract the total expenses from the total revenue: $1,552.00 - ($116.16 + $292.32) = $1,088.88. Therefore, if Hank cuts 16 yards, he will make a profit of approximately $1,088.88.

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Answer:

x = 19

Step-by-step explanation:

(10x - 23) and (7x + 34) are vertically opposite angles and congruent, so

10x - 23 = 7x + 34 (subtract 7x from both sides )

3x - 23 = 34 ( add 23 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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The person who gets to say the last number, 1000, will be Person 6.

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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Answer:

Fraction - 7/5

Decimal - 1.4

Step-by-step explanation:

Answer:

Answer choice c

Step-by-step explanation:

This is an instance of dilation of a pre-image, EFGH  to an image E'F'G'H'

In a dilation of a polygon, the angles do not change only the lengths

The transformation is
\((x, y) \rightarrow (\dfrac{1}{3}x, \dfrac{1}{3}y)\)

This means each coordinate in the original pre-image is divided by 3 to get the new image E'F'G'H'

Therefore each side of the polygon is also reduced by 1/3

hence the correct answer choice is c

Reason:

Replace p with 2 and evaluate.

\(p^3 = 2^3 = 2*2*2 = 8\)

Think of a cube that is 2 units along each side. It's volume is 2*2*2 = 8 cubic units. Repeated multiplication can be shortened to using exponents.

Another example: \(7^4 = 7*7*7*7\)

Answer:

3 x - 2 y = 8

y = 3/2 x - 4     rearranging

y = m x + b       standard equation for line

m' = - 2/3    for perpendicular line    m m' = -1

y = - 2/3 x + b

b = y + 2/3 x = 2 + 2/3 * -3 = 0       substituting given values

y = 2/3 x       required line

Answer:

Answer is B The data is asymetrical.

Step-by-step explanation:

a)4

so it's seven factorial divided by 7-5 factorial

Answer:

ECB

Step-by-step explanation:

I noticed they looked exactly the same.

Answer:

It should be ΔABD, ΔECD, and ΔECD

Step-by-step explanation:

Since ΔABE is a right triangle, one angle must be 90° with a square to signify it.

The chocolate for 140 bon-bons would cost approximately $6.13.

1. Calculate the volume of each chocolate bon-bon using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius.

  V = (4/3)π(0.7 cm)³

  V ≈ 1.437 cm³

2. Determine the mass of each chocolate bon-bon using the density formula: density = mass/volume.

  density = 1.27 g/cm³

  mass = density * volume

  mass ≈ 1.27 g/cm³ * 1.437 cm³

  mass ≈ 1.826 g

3. Calculate the total mass of chocolate needed for 140 bon-bons.

  total mass = mass per bon-bon * number of bon-bons

  total mass ≈ 1.826 g * 140

  total mass ≈ 255.64 g

4. Determine the cost of the chocolate by multiplying the total mass by the cost per gram.

  cost = total mass * cost per gram

  cost ≈ 255.64 g * $0.04/g

  cost ≈ $10.2256

5. Round the cost to the nearest cent.

  cost ≈ $10.23

Therefore, the chocolate for 140 bon-bons would cost approximately $6.13.

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The probability of an event is a measure of the likelihood that the event will occur. In this case, the event is "randomly selecting a gold coin from the box."

If the probability of selecting a gold coin, denoted as P(gold coin), is 50%, it means that if you were to randomly select an item from the box, there's a 50% chance that the item you select will be a gold coin.

In other words, if you were to repeat the process of randomly selecting an item from the box many times (under the same conditions), about half of the time you would expect to draw a gold coin. This is assuming that after each draw, the item is replaced back into the box, so the conditions remain the same for each draw.

Remember that probability is a theoretical measure, and actual results can vary, especially if the number of draws is small. But as the number of draws increases, the proportion of times you draw a gold coin should get closer and closer to 50%.

Answer:

x= 10/3 y=20/3

Step-by-step explanation:

You can substitute the second equation into the first one because the second one tells you what y is so you plug in to the first equation.

2x-(1/2x+5)=10

3/2x =5

We then subtracted the area of the doorway and window to get the final answer which is 301ft².

The approximate area that Rick paints in the room can be calculated by finding the total surface area of the four walls and subtracting the area of the doorway and window.

First, let's calculate the surface area of the four walls. The room has a length of 12ft and a width of 10ft, so the perimeter of the room is 2 * (12ft + 10ft) = 44ft. The height of the walls is 8ft, so the total surface area of the four walls is 44ft * 8ft = 352ft².

Next, we need to subtract the area of the doorway and window. The area of the doorway is 3ft * 7ft = 21ft², and the area of the window is 6ft * 5ft = 30ft². Therefore, the total area that Rick paints is 352ft² - 21ft² - 30ft² = 301ft².

To find the area that Rick paints in the room, we calculated the surface area of the four walls by finding the perimeter of the room and multiplying it by the height of the walls.

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The 95.45% control limits for the given data are 11.5 ounces and 34.5 ounces.

The formula for calculating control limits is as follows:

Upper Control Limit (UCL) = X + (A2*R)

Lower Control Limit (LCL) = X - (A2*R)

Where,

X = Mean or Average of the data

A2 = Constant from the Control Chart Table

R = Range of the data

In this case, X = 23 ounces, n = 16, and A2 = 0.5 ounces.

The Range (R) of the data can be calculated using the following formula:

R = Upper Limit - Lower Limit

Therefore, R = 23 ounces - 0 ounces = 23 ounces

Using these values, the Upper Control Limit (UCL) and Lower Control Limit (LCL) can be calculated.

UCL = 23 ounces + (0.5 ounces * 23 ounces) = 34.5 ounces

LCL = 23 ounces - (0.5 ounces * 23 ounces) = 11.5 ounces

Therefore, the 95.45% control limits for the given data are 11.5 ounces and 34.5 ounces.

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