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What is the solution to the equation y/y-4 - 4/y+4 = 32/y^2-16?

Answer:

48 years old

Step-by-step explanation:

5 years old after 7 years is 12 years old. 12×4=48 years old

Answer: mirza's father age is 41 years

Step-by-step explanation:

mirza's present age = 5

mirza's age after seven years = 5+7 = 12

mirza's father age = x

therefore, x =4(12)=48

mirza's father present age = 48-7=41

Answer:

-60

Step-by-step explanation:

Factor the problem out using FOIL.

The end result is: −60\(x^{2}\)−84x+9

The value of coefficent a (the number in front of the x^2) is -60.

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

0.009854, 30%, 1.98, √9

Step-by-step explanation:

Convert to decimals:

0.009854, 1.98, 3.0, 0.3

0.009854, 0.3, 1.98, 3.0

The morning and at night, green serenity can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations.

In the morning and at night, greenery can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations. Here are a few possible interpretations:

Greenery in the morning: Waking up to green surroundings, such as trees, plants, or a lush landscape, can evoke feelings of rejuvenation and a sense of connection with nature. It may provide a visually soothing and peaceful atmosphere, setting a positive tone for the day.

Greenery at night: Greenery in the evening or at night can create a serene ambiance. Dimly lit green surroundings, such as gardens or parks illuminated by soft lights, can promote relaxation and tranquility. This type of environment may be conducive to unwinding after a long day or engaging in peaceful activities like stargazing or enjoying a calm walk.

It's important to note that individual preferences and cultural backgrounds can influence how people perceive and respond to the color green. While many find green to be calming, there may be variations in personal experiences and associations with the color.

The morning and at night, green serenity can have different effects on people. Some individuals find the color green to be refreshing and calming, while others may have different reactions based on personal preferences and cultural associations.

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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

volume of a cone formula = V=πr²h/

3

V=3.14(5)²3/3

V≈78.54

The given system of equations has a unique solution if p is not equal to 2. If p is equal to 2 and q is equal to 4, the system has infinitely many solutions.Therefore, the correct answer is (a) 1 correct.

The given system of equations is:

2x - y = 4

px - y = q

To determine if the system has a unique solution, we need to analyze the coefficients of x and y.In the first equation, the coefficient of y is -1. In the second equation, the coefficient of y is also -1.If the coefficients of y are equal in both equations, the system may have infinitely many solutions. However, if the coefficients of y are different, the system will have a unique solution.

Now, we consider the options:

a) 1 correct: This statement is correct. If p is not equal to 2, the coefficients of y in both equations will be different (-1 in the first equation and -1 in the second equation), and thus the system will have a unique solution.b) 2 correct: This statement is correct. If p is equal to 2 and q is equal to 4, the coefficients of y in both equations will be the same (-1 in both equations), and therefore the system will have infinitely many solutions.

c) 1 and 2 correct: This statement is incorrect because option 1 is true but option 2 is only true under specific conditions (p = 2 and q = 4).d) 1 and 2 are false: This statement is incorrect because option 1 is true and option 2 is also true under specific conditions (p = 2 and q = 4).

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Answer:

X=8

Step-by-step explanation:

EASY MATH

An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4  the nonzero time at which x = 0 is 1.22 seconds.

To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:

αt - βt^3 = 0

t(α - βt^2) = 0

The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):

t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s

Therefore, the object is again at x=0 after a time of 1.22 seconds.

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c = k(r + 1)

8 = k(3 + 1)

8 = 4k

8/4 = k

2 = k

c=2(r + 1)

When c = 20, then

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Therefore, the value of r is 9 when c is 20.

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

A trick when multiplying with 10's is to just move the decimal to the right.

Answer:

C

Step-by-step explanation:

8 3-point and 13 2-point shots

8x3=24, 13x2=26

24+26=50

13+8=21

C. F-test statistic for testing the validity of the regression equation.

In multiple regression analysis, the ratio of MSR (Mean Square Regression) to MSE (Mean Square Error) is used to calculate the F-test statistic.

This statistic is used to test the overall validity of the regression equation, determining whether the regression model as a whole is statistically significant in explaining the variation in the dependent variable.

The F-test assesses whether the regression model as a whole provides a significant improvement over the null model (a model with no independent variables).

A large F-statistic indicates that the regression equation is statistically significant, implying that at least one of the independent variables has a significant effect on the dependent variable.

Therefore, option C, the F-test statistic for testing the validity of the regression equation, is the correct answer.

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The correct option is c. 33%.

The job rate of industry’s percent increase from 2003 to 2013 is 33%.

The percentage increase would be the change between the final and initial values given as a percentage. We need the initial value and the enhanced (new) value to calculate the percentage.

In other words, % growth is a measurement of percent change that indicates the amount by which a quantity increases in magnitude, strength, or value.

If the % rise is negative, we might conclude that there is corresponding proportion reduction. Let's look at the percentage growth calculation now.

Now, according to the question;

Total Number of years = 10 years

Total number of new jobs created = 2.65 thousand x 10

                                                         = 26.5 thousand

                                                         = 26,500

Number of jobs in 2013 = 78,900 + 26,500

                                       = 105,400

Percentage increase = (105,400 - 78,900)/78,900 x 100

                                   = 26,500/78,900 x 100

                                   = 0.3359 x 100

                                    = 33.59%

Percentage increase = 33% (approx)

Therefore, the percentage increases in the job between 2003 and 2013 is 33%.

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Answer:

C

Step-by-step explanation:

Answer:

Hannah is 24years of age

Answer:s

Step-by-step explanation:

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

An exponential decay function has the form y = a*b^(-kt) where a is the initial value, b is the base of the exponential function (in this case, 1 - the decay rate as a decimal), k is the decay rate and t is the time.

Given that the initial value is 980, the decay rate is 1% every 2 days and the time is 5 weeks. The first step is to convert the time to the same unit of time as the decay rate, in this case, days: 5 weeks * 7 days/week = 35 days.

The decay rate per day is 1/100 because 1% as a decimal is 0.01, so the decay rate per day is 0.01/2 = 0.005

Now we can plug in the values in the function:

y = 980 * (1 - 0.005)^(-0.005*35)

y = 980 * 0.995^(-17.5)

y ≈ 574.64

So, the value of the quantity after 5 weeks to the nearest hundredth is 574.64

It's worth noting that in this case, the base (1 - decay rate) is less than 1, which implies that the value of the quantity decreases over time.

The solution to the equation 25 - x = 15 is x = 10.

This question is incomplete, the complete question is;

What is the solution to this equation?

25 - x = 15

Given the equation in the question;

25 - x = 15

To solve for x, collect like terms and solve for x.

25 - x = 15

Subtract 25 from both sides

25 - 25 - x = 15 - 25

-x = 15 - 25

-x = -10

Divide both sides by -1

-x / -1 = -10 / -1

x = -10 / -1

x = 10

Therefore, the value of x is 10.

Option C) 10 is the correct answer.

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Answer:

A triangle.

Step-by-step explanation:

The plane would pass through opposite sloping faces of the pyramid and through the base; the shape formed is a triangle.

Answer:

two

Step-by-step explanation:

The solution is where the graphs intersect

The graphs intersect at two points, so there will be two solutions

is the answer to this question

Hope this helps

The number which best completes the sequence is 31.

To identify the pattern in this sequence, we can observe that it alternates between adding 7 and adding 4. Let's see this step by step:

1. 2 + 7 = 9
2. 9 + 4 = 13
3. 13 + 7 = 20
4. 20 + 4 = 24
5. 24 + 7 = 31

However, there's a discrepancy in the sequence provided: the number 5, which should have been 20, and the number 10, which should have been 24. With the corrected sequence, it should look like this: 2, 9, 20, 13, 24, 19, 17.

The best number to complete the corrected sequence is 31, following the pattern of alternately adding 7 and 4.

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Step-by-step explanation:

Therefore The value of X is 6 degree.

The solution to the equation is x = 8.

To solve this equation, we can use the properties of logarithms to simplify it.

Recall that:

log a^b = b log a (the logarithm of a power is equal to the exponent times the logarithm of the base)

log a + log b = log(ab) (the logarithm of a product is equal to the sum of the logarithms of its factors)

log a - log b = log(a/b) (the logarithm of a quotient is equal to the difference of the logarithms of its terms)

Using these properties, we can rewrite the equation as:

2log2(x) - log2(2x) = 3

log2(x^2) - log2(2x) = 3

log2(x^2/2x) = 3

log2(x) = 3

x = 2^3

x = 8

Therefore, the solution to the equation is x = 8.

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Using the Mean and median formulae ,

The difference between the mean and median score of the students' scores on this quiz is 3.

Mean : The mean is the number which we get by dividing the sum of a set of values by the number of values in the set.

Median: the median is the middle number in a set of values when those values are arranged in either ascending or descending order.

let us consider there are a total 100 students.

and X denotes the marks obtained by students.

We have given that,

10% of student scored 70 points i.e.,

P(X=70) = 10% of 100 = 10

35% of students scored 80 points i.e., number of students whose obtained 80 points

= 35% of 100 = 35

30% of students scored 90 points , number of students whose obtained 90 points

= 30% of 100 = 30

remained ( 25%) of students scored 100 points

= 100 - 10 - 35 - 30 = 25

total marks obtained by students

= 80+70+90+100

= 340

Mean of score of students'scores on the quiz

= (70×10+ 80×35 + 90×30 + 100×25)/100 = 87

when we arranged the in ascending students in order , the 50th and 51th student lies in middle and marks obtained by both (50th and 51th) is 90 points .

So, Median score of the students' scores on this quiz = 90

Now, we shall calculate the difference between mean and median of score of the students' scores on this quiz which is equal to( 90 -87)

= 3

Hence, difference between the mean and median score of the students' scores on this quiz = 3

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Answer:

0.3

Step-by-step explanation:

Answer:

3.0

Step-by-step explanation:

Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.

0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.

0.03 is also known as 3 hundredths, meaning  that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.

0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.

This leaves us with 3.0

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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