if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)

Answer:

None,an isoceles trapezoid has with 1 parallel side has no line of symmetry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Commission = 2% of 2,50,000

                     \(= \frac{2}{100}*250000\\\\= 2 * 2500\\\)

                     = Rs. 5000

Answer: There are different ways to approach this problem, but one possible method is to use the concept of percentile rank and cumulative distribution function (CDF) of the data.

Assuming we have a data set of distances that residents on this street traveled to work in a week, we can first calculate the CDF of the data, which gives the probability of observing a value less than or equal to a certain distance. For example, if there are 100 residents and 20 of them traveled 50 miles or less, then the CDF at 50 miles is 20/100 = 0.2.

Once we have the CDF, we can find the percentile rank of a given distance by multiplying the CDF by 100. For example, if the CDF at 85 miles is 0.75, then the percentile rank of a resident who traveled 85 miles is 0.75 x 100 = 75%.

Since we do not have the actual data, we cannot calculate the CDF directly. However, we can make some assumptions and estimates based on the information given. For example, if we assume that the distribution of distances is roughly normal with a mean of 30 miles and a standard deviation of 15 miles, then we can use the properties of the standard normal distribution to estimate the percentile rank of 85 miles.

Specifically, we can standardize the distance by subtracting the mean and dividing by the standard deviation:

z = (85 - 30) / 15 = 3.33

Then, we can use a standard normal distribution table or calculator to find the percentile rank of z, which is the same as the percentile rank of 85 miles in this distribution.

According to the table or calculator, the area under the standard normal curve to the left of z = 3.33 is approximately 0.9993. This means that about 99.93% of the distances in this distribution are less than 85 miles. Therefore, the percentile rank of a resident who traveled 85 miles is approximately 100 - 99.93 = 0.07, or 7%.

Since none of the answer choices match this result exactly, we can choose the closest option, which is (b) 70.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is such that <APB = <APC = <BPC = \(120^{o}\). Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{AP}{Sin B}\) = \(\frac{BP}{Sin30}\)

\(\frac{8}{Sin30}\) = \(\frac{BP}{Sin 30}\)

BP = \(\frac{8*Sin30}{Sin 30}\)

     = \(\frac{4}{0.5}\)

BP = 8.0

Therefore, the value of BP = 8 units.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The motion of the particle takes place on a plane centered at (x, y) = (a, b) that has a radius of r. The particle moves in a circular path around the center (a, b).

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Answer:

c. Quadrant III

Step-by-step explanation:

just took test on edg, I got a 100%

Answer:

C.

Step-by-step explanation:

a)  the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%

b)  the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

To find the probability of the number of breakdowns in a month for the washing machine using the Poisson probability distribution, we need to know the average rate of breakdowns per month, which is given as three breakdowns.

The Poisson probability distribution formula is given by:

P(x; λ) = (\(e^{(-\lambda )\)* λ^x) / x!

Where:

P(x; λ) is the probability of x events occurring in a given interval,

λ is the average rate of events occurring in that interval,

e is the base of the natural logarithm, and

x! represents the factorial of x.

a) To find the probability of exactly two breakdowns, we substitute x = 2 and λ = 3 into the formula:

P(2; 3) = (\(e^{(-3)} * 3^2\)) / 2!

Calculating this, we get:

P(2; 3) ≈ 0.224

Therefore, the probability of exactly two breakdowns in the next month is approximately 0.224 or 22.4%.

b) To find the probability of at most one breakdown, we sum the probabilities of zero breakdowns and one breakdown:

P(0; 3) + P(1; 3)

Substituting x = 0 and λ = 3 into the formula for the first term:

P(0; 3) = (\(e^{(-3)} * 3^0)\) / 0! = \(e^{(-3)\)

Substituting x = 1 and λ = 3 into the formula for the second term:

P(1; 3) = (\(e^{(-3)} * 3^1\)) / 1! =\(3e^{(-3)\)

Calculating this sum, we get:

P(0; 3) + P(1; 3) = \(e^{(-3)} + 3e^{(-3)}\)

Approximating this value, we find:

P(0; 3) + P(1; 3) ≈ 0.199

Therefore, the probability of at most one breakdown in the next month is approximately 0.199 or 19.9%.

Using the Poisson probability distribution, we can determine the likelihood of different numbers of breakdowns occurring in a month for the washing machine in the laundromat.

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Nishad can still win the competition. The minimum score he needs to get for stage presence is: 9.

The formula used  by the judges to determine the scores is: S = 7V + 5M + 3P

Now, Rashida is scored the following: V = 9, M = 7, P = 7

Using the formula, Rashida's score is: 7 * 9 + 7 * 5 + 7 * 3

= 63 + 35 + 21

=  119

Nishad hopes to get V = 9, M = 6, P = ?

7 * 9 + 6 * 5 + 3x

= 63 + 30 + 3x

= 93 + 3x

If x = 9

Then Nishad will have a score of 120, thus winning the competition. The minimum number required of him for stage presence is 9.

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Answer:

Graph of polynomial of 2nd degree,i.e,X^2

Step-by-step explanation:

For given functions, "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer i.e. A.

What is the definition of a function?

In mathematics, a function is a relation between two sets of elements, called the domain and the range, such that each element in the domain corresponds to exactly one element in the range.

More specifically, a function is a rule that assigns each element of the domain (input) to a unique element in the range (output). The notation for a function f with domain D and range R is typically written as:

f: D → R

f is a function mapping elements from the domain D to elements in the range R.

Now,

To find the y-intercept of a function, we set x = 0 and evaluate the function.

For \(f(x) = -4(1.09)^x\), when x = 0, we get:

\(f(0) = - 4(1.09)^0 = - 4\)

So, the y-intercept of f(x) is -4.

For g(x), we are given a table of values, and we can see that when x = 0, g(x) = -4. Therefore, the y-intercept of g(x) is also -4.

Hence,

          The first option "The y-intercept of f(x) is equal to the y-intercept of g(x)" is the correct answer.

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Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

Answer:

y = -4

x = 6

Solution:

7x + 11y = -2 [1]

7x + 3y = 30 [2]

[1] - [2],

8y = -32

y = -4

(use substitution method to find x)

substitute y = -4 into [2],

7x + 3y = 30

7x + 3(-4) = 30

7x - 12 = 30

7x = 30 +12

7x = 42

x = 6

The probability that a student studied for 4 hours is 0.3.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1.

Given A group of students was surveyed in a middle school class,

the table for records,

Number of Hours          Total Number of Students

0                                                      1

1                                                       3

2                                                      2

3                                                      10

4                                                       9

5                                                       7

6                                                        3

To determine the probability;

The number of students that has 4 hours is 9

The total number of students = 30

P(4 hours) = 9/30

P(4 hours) = 0.3

Hence probability is 0.30.

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Answer:

The size of the beetle in the photo is 114.3 millimeters.

Answer:

116.7

Step-by-step explanation:

I just KNow.

The number of students that did none of the subjects=27

The students that took P.E but not BIO=25

The number of students that took ENG but neither BIO nor P.E.=33

That is , (15+10+7)-5= 32-5 = 27

not BIO = 35-10 = 25

= 60- 27

= 33

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The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

Answer:

80?

Step-by-step explanation:

if there are 9 kids and every kid ends up with 8 pieces, then you do 8x9 which is 72. ut then you add 8 bc larson got his pieces.  so the answer is 80 im pretty sure

Jerry Spinelli has created a character in Stargirl that will stay with me for a long time, and I would recommend this book to anyone looking for an inspiring and uplifting read.

Stargirl by Jerry Spinelli is a unique and thought-provoking book that explores themes such as individuality, non-conformity, and social acceptance.

At first, I found Stargirl's character to be eccentric and somewhat odd, but as the story progressed, I began to appreciate her individuality and unique approach to life.

Her non-conformity is a refreshing change from the typical high school social hierarchy, which is focused on popularity and conformity to social norms.

Stargirl's kindness and generosity towards others were truly remarkable, and it is these qualities that endeared her to me as a reader.

She went out of her way to help others and was always willing to lend a hand, even to those who weren't very kind to her. I was touched by the way that she tried to help Kevin, Leo, and even the students who were mocking her.

Stargirl's journey was not an easy one, and I was saddened by the way that she was ostracized and bullied by her classmates.
However, I was inspired by her resilience and courage in the face of adversity. She refused to let the negativity of others affect her and continued to be true to herself.

Overall, Stargirl is a beautiful and heart-warming story that teaches us about the importance of being true to ourselves and accepting others for who they are. It is a reminder that we should embrace our differences and celebrate individuality, rather than conforming to societal norms.

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Answer:

x<4

Step-by-step explanation:

To solve and make the problem less intimidating, it is easier to just imagine that the < is a = sign. The only difference when solving a inequality versus an equation is that you flip the inequality sign when multiplying or dividing by a negative, which we won't need to worry about in this problem. Now, hopefully, this will make more sense when we are solving.

The first step is to add 20 to both sides:

15x - 20 < 40 (Add 20 to both sides)

15x < 60

Now, divide both sides by 15, so we are juts left with x:

15x < 60 (Divide both sides by 15)

x < 4

So, the inequality is true for any x value that is less than 4, or x<4.

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Answer:

Ans 26

Step-by-step explanation:

F(x) = x/2

proof:

at x=0, f(x)=0

at x= -2 , f(x) = -1

and x = -4 , f(x) = -2

that's it.

The selling price for the flat-screen TV for Thomas is $245.1. Here the total percentage of discount for him is 43%.

The formula for finding the selling price with a percentage of discount is

Selling price = Original price - original price × discount (in decimal)

It is given that,

Thomas receives a discount for flat screen tv on a sale = 33%

He also receives an additional discount on all merchandise at the store where he works = 10%

The original price of the TV is $430.

So, the total discount percentage = 33% + 10% = 43% = 0.43 (in decimal)

Then, the selling price of the tv for him is,

Selling price = Original price - original price × discount (in decimal)

                     = $430 - $430 × 0.43

                     = $430 - $184.9

                     = $245.1

Therefore, Thomas's selling price for the flat-screen tv is $245.1.

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Maria spends $22 on lottery tickets every week and $133 every month on food yearly

This means that in a year

there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets

and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food

The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is

Answer:

B) A person runs x miles at a rate of 12 minutes per miles then walks for 10 minutes is your best answer.

Step-by-step explanation:

This is the only one that meets all requirements, though the wording is rather poor, in my opinion.

'x" is stated in this statement rather correctly compared to the others.

For A), "A person drives 12 miles each day (x) for 10 days:

x would signify the amount of days: 12x or 12(10) = 120

For C), " A person drives 12 miles plus 10 miles for each additional hour they drive":

x would signify the amount of hour: 10x + 12

For D), "A person runs 12 miles the first day, x miles the second day, and 10 miles the third day":

x would signify the stand-alone value: 12 + x + 10

~

9514 1404 393

Answer:

  irrational

Step-by-step explanation:

If we assume the decimal fraction continues indefinitely without repeating, then the number is irrational.

__

The pattern that seems to have been established is an increasing number of repetitions of the digit 3, with each set followed by the digit 2. This pattern can continue indefinitely without repeating.

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Answer:

Range=highest - lowest

80-20=60

Similarly

Q1=N/4=15

Q2=60/2=30

Q3=3*60/4=45

Interquartile range=Q3-Q1=45-15=30