find the relationship of the fluxions using newton's rules for the equation y^2-a^2-x

The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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Answer:

here you go....

Step-by-step explanation:

Answer:

y=-9x-10

Step-by-step explanation:

First, start by putting the first equation into slope intercept form:

y=-9x+5

We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.

To have the same y intercept as y=-8x-10, the y intercept would have to be -10.

Therefore, the formula would be y=-9x-10

Answer:

y = - 6/5x + 8/9

Step-by-step explanation:

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following equations:

Equation 1:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Equation 2:

Finally, the requested equation is:

Answer:

C

Step-by-step explanation:

Answer:

C. m = -1/4

Step-by-step explanation:

You must find two different numbers on the number like. I will use (0, 1) and (4,0)

0-1/4-0

Combine

-1/4

m = -.25

You can convert from scientific notation to simple notation using the fact that negative powers can be converted to division.

The correct option is given by

Option C. The greatest number is 8. 2 × 10-3. It is 2,000 times greater than the smallest number.

Suppose you have got \(a^{-b}\)

Then we have

\(a^{-b} = \dfrac{1}{a^b}\)

\(8.2 \times 10^{-3} = \dfrac{8.2}{10^3} = \dfrac{8.2}{1000} = 0.0082\\\\5.2 \times 10^{-6} = \dfrac{5.2}{10^6} = \dfrac{5.2}{1000000} = 0.0000052\\\\4.1 \times 10^{-6} = \dfrac{4.1}{10^6} = \dfrac{4.1}{1000000} = 0.0000041\)

Thus, we can see that

The greatest number among given numbers is \(8.2 \times 10^{-3}\)

The smallest number among the given numbers is \(4.1 \times 10^{-6}\)

Dividing greatest number by smallest to see how many times the greatest number is greater than the smallest number

\(\dfrac{8.2 \times 10^{-3}}{4.1 \times 10^{-6}} =\dfrac{8.2}{4.1} \times \dfrac{10^{-3}}{10^{-6}} = 2 \times 10^{-3 - (-6)} = 2 \times 10^3 = 2000\)

Remember that when base are same, and there is division, then power gets subtracted, that's why we got \(\dfrac{10^{-3}}{10^{-6}} = 10^{-3 - (-6)} = 10^3\)

Thus, we have the greatest number 2000 times bigger than the smallest number among the numbers given.

Thus, the correct option is

Option C. The greatest number is 8. 2 × \(10^{-3}\). It is 2,000 times greater than the smallest number.

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Answer:

$0.11

Step-by-step explanation:

1-0.89 is 0.11 so it is $0.11

Answer:

$0.11

Step-by-step explanation:

Hi! :)

To find the answer to this math question, you need to do some subtraction!

1-0.89= 0.11

If Gian is paying $1, but the toy only costs $0.89, that means she will get $0.11 back.

If you start with 1/4, you can create an entire class of fractions equivalent to 1/4 by multiplying 1/4 by different forms of the number 1.

The connection between two numbers, known as the numerator and the denominator, is expressed mathematically as fractions. The number of pieces is represented by the numerator, while the total number of components is represented by the denominator. For instance, if a pizza is cut into 8 slices and someone eats 3 of them, the fraction corresponding to the quantity consumed would be 3/8.

Diverse mathematical ideas, including division, ratios, and proportions, can be represented using fractions. They can also be used to represent decimal and percentage values, with the decimal point placed to the right of the numerator and the number of decimal places represented by the denominator.

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The probability that a randomly selected female senior will have a lower score than a male senior with a score of 1512 is approximately 0.788, or 78.8%.

What is the probability?

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1. An event with a probability of 0 cannot occur, while an event with a probability of 1 is certain to occur.

To find the probability that a randomly selected female senior will have a lower score than a male senior, we need to use the standard normal distribution table, which gives the probability that a randomly selected value from a normal distribution with a mean of 0 and a standard deviation of 1 will be less than a certain value.

We can use the z-score formula to standardize the female senior's SAT score, which is given by:

z = (x - mean) / standard deviation

Where x is the female senior's SAT score, mean is the mean of the distribution of SAT scores for college bound female seniors, and standard deviation is the standard deviation of the distribution of SAT scores for college bound female seniors.

So the z-score for a female senior with a score of 1512 (the same as the mean of the male seniors) is:

z = (1512 - 1486) / 311 = 0.8

Looking at the standard normal distribution table, we can see that the probability that a value from a standard normal distribution is less than 0.8 is approximately 0.788.

Hence, the probability that a randomly selected female senior will have a lower score than a male senior with a score of 1512 is approximately 0.788, or 78.8%

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Answer: imaginary axis

Step-by-step explanation:

Step-by-step explanation:

mark me as brilliant plzz

The logarithmic equation 2log4 - log3 + 2logx - 4 = 0 can be solved by rewriting the equation using logarithmic properties and then solving for x. The exact value of x depends on the logarithmic base used.

To solve the logarithmic equation 2log4 - log3 + 2logx - 4 = 0, we can start by applying logarithmic properties. Using the properties

log(a) - log(b) = log(a/b) and log(a^b) = b log(a), we can rewrite the equation as log(4^2) - log(3) + log(x^2) - log(10,000) = 0.

Simplifying further, we have 2 log(16) - log(3) + 2 log(x) - 4 = 0.

Next, we can combine the logarithmic terms using the property

log(a) + log(b) = log(a * b). This gives us log(16^2 * x^2 / 3) - 4 = 0. Simplifying the logarithm, we have log(256x^2/3) - 4 = 0.

To isolate the logarithm, we can apply the property a = b implies 10^a = 10^b. In this case,

10^(log(256x^2/3) - 4) = 10^0. This simplifies to 256x^2/3 = 10^4.

Finally, we solve for x by rearranging the equation. Multiplying both sides by 3/256, we get x^2 = (3/256) * 10^4. Taking the square root of both sides, we have x = ±√(3/256) * 10^2. Thus, the exact value of x depends on the logarithmic base used, but this provides the general form of the solution.

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Answer:

Step-by-step explanation:

(

1

)

.

plugging the

4

into

g

(

x

)

and then putting what you get from that in to

f

(

x

)

(

2

)

.

plug

g

(

x

)

into

f

(

x

)

and then plug in the

4

Option 1:

Plug

4

into

g

(

x

)

:

g

(

x

)

=

−

2

(

4

)

−

6

=

−

8

−

6

=

−

14

Then plug

g

(

x

)

into

f

(

x

)

:

f

(

x

)

=

3

(

−

14

)

−

7

=

−

42

−

7

=

−

49

Option 2:

Plug

g

(

x

)

into

f

(

x

)

:

f

(

x

)

=

3

(

−

2

x

−

6

)

−

7

=

−

6

x

−

18

−

7

=

−

6

x

−

25

Finally plug

4

into our current

f

(

x

)

:

f

(

x

)

=

−

6

(

4

)

−

25

=

−

24

−

25

=

−

49

The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.

David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:

David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.

Hence, the expression is: p = 18 + (1/4)x.

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Answer:

149 in²

Step-by-step explanation:

The figure is composed of 3 rectangles.

A( lower) = 5 × 7 = 35 in²

A(middle) = 10 × 6 = 60 in²

A(right) = 6 × 9 = 54 in²

Sum the 3 areas for total area

Total area = 35 + 60 + 54 = 149 in²

Answer:

149 inches square.

Step-by-step explanation:

Given,

length (l) = 7 in.

breadth (b) = 5 in.

Area (A1) = l×b

= 7×5

= 35 inches square

now,

length = 9 in.

breadth= 6 in.

Area (A2) = l×b

= 9×6

= 54 square inches

again,

length = 10 in.

breadth = 6 in.

Area (A3) = l×b

= 10×6

= 60 square inches

Area of irregular figure = A1+ A2+ A3

= 35 +54 + 60

= 149 in. square

Step-by-step explanation:

Indian States

The amount is $3025 and the interest is $525.

When an amount earns a compound interest, it means that both the amount invested and the interest that has already been earned increases in value at each compounding period.

The formula for calculating future value with annual compounding:

FV = P (1 + r)^n

Where:

= 2500 x (1 + 0.1)^2

= 2500 x (1.1)^2 = $3,025

Interest = future value -  amount invested

$3025 - 2500 = $525

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Answer:

32.7 degress

Step-by-step explanation:

In this question we are to find the value of the angle

The best way to do with the information given is the cosine rule

Mathematically that would be;

y^2 = x^2 + z^2 -2xzCosY

where x = 90 ft , y = 55ft and z = 50 ft

Plugging the values we have;

55^2 = 90^2 + 50^2-2(90)(50)CosY

-7575 = -9000cosY

cosY = 7575/9000

cosY = 0.841666666667

Y = cos^-1 0.841666666667

Y = 32.68 degrees which is 32.7 to the nearest tenth

Answer:

32.7

Step-by-step explanation:

The following is one of the requirements for using a one-way, between-subjects Anova is the data must be measured on a continuous scale.

One of the requirements for using a one-way, between-subjects ANOVA is that the data must be measured on a continuous scale. This means that the variable being measured (such as time, weight, or temperature) should be able to take on any value within a certain range.

Another requirement for using a one-way, between-subjects ANOVA is that the data must be independent. This means that the observations for each group should not be related to one another in any way. For example, if the groups being compared are different treatment groups in a medical study, it would not be appropriate to use a one-way, between-subjects ANOVA if the patients in each group were related to one another (such as siblings or close friends).

The third requirement is that the data should be approximately normally distributed in each group. A normal distribution is a probability distribution that has a bell shape, which means that the data is symmetric and the mean, median, and mode are equal. The ANOVA assumes that the data is normally distributed and if the data is not normally distributed, the results may be unreliable. This requirement can be checked by using normality test such as Shapiro-Wilk test.

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The expected vertical load on the foundation is  option b) 1500 PSF (pounds per square foot)

To calculate the expected vertical load on the foundation, we need to consider the weight of the concrete and the height of the wall.

The weight of the concrete can be determined using the unit weight of concrete, which is given as 150 pounds per cubic foot (PCF). Since the wall is 10 feet tall, we can calculate the weight of the concrete per square foot of the wall.

Weight of concrete per square foot = unit weight of concrete * height of the wall

Weight of concrete per square foot = 150 PCF * 10 feet = 1500 pounds per square foot (PSF)

Therefore, the expected vertical load on the foundation is 1500 PSF (option b).

This means that for every square foot of the foundation, it is expected to bear a load of 1500 pounds due to the weight of the poured concrete.

It is important to note that factors such as soil conditions, additional loads, and structural considerations may influence the actual load on the foundation. It is recommended to consult with a structural engineer for precise calculations and design requirements.

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The question to be solved is;

From the steps shown in the question, it was glaring Ravis made a mistake from the onset.

The proper solution and the right approach to the question is shown below;

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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The number of years that it will take for the account balance to accumulate to the value of the car would be = 19 years.

The principal amount of money Sally deposits = $1,200

The interest rate for each year = 7%

The time = 1 year

Simple interest = principal×time × rate/100

= 1,200×1×7/100

= $84

In a year the money would be = 1200+84 = $1284

X years = $24,168.77

make X the subject of formula;

X = 24,168.77/1284

= 18.8 = 19 years

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Answer:75

Step-by-step explanation:

Answer:

40000 total visitors

Step-by-step explanation:

Let p represent a multiplier. Then the total number of visitors to the park is

4p + 7p + 9p = 40000.

This simplifies to 20p = 40000, so that p = 2000.

Then the number of children who visited is 4p = 8000; the number of women is 7p = 14000, and the number of men is 9p = 18000.

Summing up these results gives us the total number of chidren, women and men who visited the zoo last year: 8000 + 14000 + 18000, or 40000.

Answer:

3 hours

Step-by-step explanation:

Since it will take the sprinkler 12 times longer to mow the entire lawn than 1/12 of it, it will take 1/4*12=3 hours, or the last answer choice. Hope this helps!

Answer:

0

Step-by-step explanation:

Step-by-step explanation:

the equation of the circle centered at (-3, – 10)

=> (x+3)²+(y+10)²=2²

<=> x²+6x+9+y²+20y+100=4

x²+y²+6x+20y+105=0

Let's see

\(\\ \rm\dashrightarrow (x-h)^2+(y-k)^2=r^2\)

\(\\ \rm\dashrightarrow (x+3)^2+(y+10)^2=2^2\)

\(\\ \rm\dashrightarrow (x+3)^2+(y+10)^2=4\)

\(\\ \rm\dashrightarrow x^2+y^2+6x+20y+105=0\)

When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

What is statistical validity?

Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.

It can also be the statistics which are derived from the research works or studies.

What is frequency in statistics?

Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.

For a given set of data the frequency can either be 0 or more than that.

Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.

What is margin of error estimate?

The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.

The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the  interval.

Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

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The vertex of the parabola given is (2, 4) and the x-intercepts is not defined.

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface is called a parabola.

Given is an equation of the parabola, y = 2x²-8x+12,

The vertex is given by, v = (-b/2a, f(-b/2a))

Here, a = 2, b = -8 and c = 12

-b/2a = 8 / 4 = 2

f(-b/2a) = 8-16+12 = 4

Therefore, the vertex is (2, 4)

The x-intercept is when y = 0

Therefore,

2x²-8x+12 = 0

x²-4x+6 = 0

Since, the x value is imaginary therefore, there is no x-intercept for this parabola.

The y-intercept is when x = 0

2(0)²-8(0)+12 = y

y = 12

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