In The Number 9,999.999, How Does The 9 In The Hundredths Place Compare To The 9 In The Place To Its (2024)

The standard form of the equation of a line is 3x+y=-10.

Given that a line passes through the point (-5,5) and is parallel to y=-3x+3.

We have to write the equation of the line which is passing through the point (−5,5) and parallel to the line y=-3x+3.

We know that if any straight line which is passing through the point and slope is m then the equation of line would be:

(y-y₁)=m(x-x₁)

According to question,

x₁=-5, y₁=5

slope will be calculated from the line y=-3x+3

given the line is parallel hence slope will be equal

therefore, m=-3 (since in equation y=mx+c, m is slope).

Putting above values in the equation, we get

(y-5)=-3(x-(-5))

(y-5)=-3(x+5)

y-5=-3x-15

y=-3x-15+5

y=-3x-10

3x+y=-10

Hence, the standard form of the equation of the line that passes through the point (-5,5) and parallel to y=-3x+3 is 3x+y=-10.

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The integers that are closest to the number in the middle 85

is 9 and 10.

It is required to find the solution.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The integers that are closest to the number in the middle 85 is between 81 and 100 , [tex]\sqrt{85}[/tex] is between [tex]\sqrt{81}[/tex] and [tex]\sqrt{100}[/tex] , or 9 and 10.

[tex]9 < \sqrt{86 } < 10[/tex]

Therefore, the integers that are closest to the number in the middle 85

is 9 and 10.

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From the given two-way frequency table, the correct statement is given as follows:

Twenty-four seventh-grade students chose a non-sports activity.

What does the two-way frequency table shows?

It shows that:

Among 63 7th graders, 39 participate in sports and 24 do not.Among 57 8th graders, 29 participate in sports and 28 do not.Hence, among a total of 120 students, 68 participate in sports and 52 do not.

Hence, the correct statement is given by:

Twenty-four seventh-grade students chose a non-sports activity.

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Answer:

c

Step-by-step explanation:

i think

The data set that shows a nonlinear association is the third set.

Which data set shows a nonlinear association?

The easiest way to check this is to graph the sets on an x-y plane, and see which of these graphs does not behave like a line.

But let's do another thing.

For each of the sets identify the increase in the independent variable, x, and then the increase in the y-variable.

For example, in the first table, we have the pairs:

(2, 3), (3, 4), (4, 5), etc...

This is clearly a linear relation of the form:

y = x + 1

So, writing each set in increasing order of the elements allows us to identify if it is linear or not.

Now let's go to the third option, the elements in order are:

(2, 2), (5, 4), (8, 10), ....

Notice that between the first two pairs, x increases by 3 and y increases by 2.

Between the second two pairs, x increases by 3 again, but y increases by 6.

Thus, this is not a linear relation.

We conclude that the correct option is the third set.

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The coordinates of the mid-point of BC are ((2+a)/2, (5+b)/2).

Given that, C is the point on the line y = 2x + 1 where x = 2.

We need to find the coordinates of the mid-point of BC.

What is the formula to find the midpoint of a line segment with the coordinates?

The formula to find the midpoint of a line segment with the coordinates is [tex](x, y)=(\frac{x_{1}+ x_{2}}{2} , \frac{y_{1}+ y_{2}}{2} )[/tex].

Now, substitute x=2 in equation y = 2x + 1.

We get, y=2(2)+1=5

So, the coordinates of B are (2, 5) and take the coordinates of C as (a, b)

By using the midpoint formula, we can find the coordinates of the midpoint of line BC.

Thus, (x,y)=((2+a)/2, (5+b)/2)

Therefore, the coordinates of the mid-point of BC are ((2+a)/2, (5+b)/2).

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The scale of the shopping center drawing is 1 : 72.

The drawing scale is the ratio of drawing size to actual size. To determine the scale of the drawing, we need to know about the formula first which is given by :

scale = drawing size : actual size

From the question above we know :

drawing size = 7 inches

actual size = 42 feet

Before substituting the parameter, we need to change the unit of size to inches.

actual size = 42 feet = 504 inches

Substitute the parameter

scale = drawing size : actual size

scale = 7 : 504

scale = 1 : 72

Hence, the scale of the shopping center drawing is 1 : 72.

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Answer:

450*3x x = each year

Step-by-step explanation:

450*3*5=6750

After the past five years, the population of endangered turtles has grown to 109,350 turtles.

We have,

Initial Population:

The problem states that the initial population of endangered turtles is 450.

Population Growth:

The population triples each year for the past five years.

This means that after each year, the number of turtles is multiplied by 3.

Year 1: After the first year, the population becomes

450 * 3 = 1,350 turtles.

Year 2: After the second year, the population becomes

1,350 * 3 = 4,050 turtles.

Year 3: After the third year, the population becomes

4,050 * 3 = 12,150 turtles.

Year 4: After the fourth year, the population becomes

12,150 * 3 = 36,450 turtles.

Year 5: After the fifth year, the population becomes

36,450 * 3 = 109,350 turtles.

Thus,

After the past five years, the population of endangered turtles has grown to 109,350 turtles.

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During from 1980 to 1990 ten-year period did the average age increase the most

What is age ?

Age is the duration of something's existence or being alive.

East Asian age calculation, a method of calculating age in Asia that begins at 1

Getting older, also referred to as aging,

Senescence, the age-related progressive decline in biological function

human advancement (biology)

Periodization, the division of history into clearly delineated chronological periods with names,

The stages of human existence on Earth as described by Greek mythology and its later Roman interpretation are known as the "Ages of Man."

Age before time

the given name age

Aage is the pen name of Italian screenwriter Agenore Incrocci.

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The general term of the given sequence is given by: [tex]5(\frac{1}{3}) ^{n-1}[/tex]

What is a Geometric Progression and what is its General Term?

Geometric progression refers to a special progression, or a sequence of numbers, in which each successive term is a fixed multiple of the term preceding it.

For a geometric progression having first term 'a', a constant ratio of the terms be 'r' and 'n' number of terms, then:

General Term of Geometric Progression(G.P.) = [tex]ar^{n-1}[/tex], where r > 0.

Given: [tex]5,\frac{5}{3},\frac{5}{9},...[/tex]

Here, for the given G.P., a = 5, r = [tex]\frac{1}{3}[/tex]

Then, the general term = [tex]5(\frac{1}{3}) ^{n-1}[/tex], if the given G.P. has 'n' terms.

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(a) We are given -

F=(14x+8y)i+(8x+18y)j,

so M(x,y)=14x+8y and N(x,y)=8x+18y.

Therefore My = Nx = 18, and the vector field is conservative.

(b) To find a potential function, we integrate

M and N:

∫(14x+8y)dx=7x^2+8xy+f(x)

∫(8x+18y)dy=8xy+9y^2+g(x)

Combining the results, and eliminating the duplicate terms, we get

f(x,y) = 7x^2+8xy+9y^2.

(c) The endpoints of C are (0,−1) and (1,0).

Therefore the Fundamental Theorem of line integrals gives

∫c F⋅dr=f(1,0)−f(0,−1) = −2.

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Disclaimer : The complete question is given below.

Question :

(a) Show that the vector field F = (14x+8y)i + (8x+18y)j is conservative.

(b) Find a potential function f such that

F = ∇f

(c) Use the potential to evaluate the line ∫c F⋅dr,

where c is the part of the unit circle in the 4th quadrant.

The correct option is C) childhood as glorious

James Barrie, the author of Peter Pan and other plays, is noted for portraying adulthood as unpleasant and childhood as glorious.

What is a parallel sentence structure?

When a writer balances related grammatical components, such as words, phrases, and clauses, to show that they are of equal value, they are creating parallel structure.

There is no parallel structure in this statement. Barrie depicts childhood and adulthood in different ways, but the grammatical structure of the two depictions should be the same. This is accomplished via Option C, which contrasts "adulthood as unpleasant" with "childhood as glorious." The correct response is C.

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Answer:r=-2/3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

[tex]9r6[/tex]

The derivative of ax is nax n−1 .

[tex]9r 61−1​[/tex]

Subtract 1 from 1.

[tex]9r 60​[/tex]

For any term t except 0, t 0 =1.

[tex]9×1[/tex]

For any term t, t×1=t and 1t=t.

[tex]9[/tex]

​

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I speak English and Spanish

The equation for the distance is:

(a/60)*8 mi/min + (b/60)*7.5 mi/min = D

So the correct option is the third one, counting from the top.

Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?

We know that she runs 45 minutes each day, such that she runs at a rate of 8 miles per hour for a minutes, and then runs at 7.5 miles per hour for b minutes.

Now, remember the relation:

speed*time = distance.

Because a and b are in minutes, we need to rewrite the speeds in minutes, remember that there are 60 minutes in one hour, then:

8 mi/h = (1/60) 8mi/min

7.5 mi/h = (1/60)*7.5 mi/min

Then the equation for the distance is:

a*(1/60)* 8 mi/min + b*(1/60)*7.5 mi/min = D

(a/60)*8 mi/min + (b/60)*7.5 mi/min = D

So the correct option is the third one.

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The answer is cherryport, Dallhoise, forwood, sapphire.

The simple random sample is, a sequence of numbers from left to right is 7483 and this corresponds to Cherrypost, Dallhoise Foxwood and Sapphire.

If we used another collection of random numbers to generate the sample, the result achieved with the actual list would be just as likely to be chosen as any other group of four names.

Reasoning

The goal of simple random sampling is to choose a sample that has the same chance of being picked as any other sample.

What is random sampling ?

Random sampling is a sampling strategy in which each sample has an equal chance of being selected. A random sample is intended to provide an impartial reflection of the entire population.Random sampling guarantees that the findings received from your sample are close to those obtained if the full population was surveyed . The simplest random sample gives each unit in the population an equal probability of being chosen.

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[tex]12+\frac{8}{4} \times 3-(42+3) \\ \\ =12+2(3)-(42+3) \\ \\ =12+6-(42+3) \\ \\ =12+6-45 \\ \\ =18-45 \\ \\ =\boxed{-27}[/tex]

Answer:

Never

Step-by-step explanation:

You are both running at the same speed in the same direction and start at the same time. You will always be 8 miles behind your friend and you will never catch up with him/her

The data points in the data set with the higher standard deviation are, in other words, the data points in the data set with the larger standard deviation are more dispersed; each.

Similar standard deviations between two data sets indicate that the variability between the two data sets relative to each data set's mean is similar. In other words, the data are distributed equally. The data set with the higher standard deviation has more variability if the standard deviations are different. For the data set, measurement and mean agree more closely.

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[tex]f(x) = 2x {}^{2} + x - 3 \\ f(x) = 25 \\ 2x {}^{2} + x - 3 = 25 \\ 2x {}^{2} + x - 28 = 0 \\ \\ x_{1} = \frac{ - 1 + \sqrt[]{1 {}^{2} - 4(2)( - 28) } }{2(2)} \\ x_{1} = \frac{ - 1 + 15 }{4} = \frac{14}{4} = 3.5[/tex]

[tex]x_{2} = \frac{ - 1 - \sqrt{225} }{4} = \frac{ - 1 - 15}{4} = \frac{ - 16}{4} = - 4 \\ [/tex]

Hi, there!

To solve the function operation, let's start by writing 25 everywhere we see x:

[tex]\boldsymbol{f(x)=2(25)^2+25-3}[/tex]

________

Now here's the most important part - The order of operations.

It's vital in simplifying expressions with multiple operations, like this one.

There's an acronym that will help you remember the order of operations.

[tex]\boldsymbol{BODMAS}[/tex]

Here,

B = Brackets. The first of all these operations, the Brackets operation tells us to simplify all expressions with brackets, if we have any.O = order of exponents. This operation comes right after brackets. Once we've evaluated all the expressions with the brackets, we can start evaluating exponential expressions.D = division & M = multiplication. Unlike the two operations above, these two operations are interchangeable; you can do division first, and then multiplication, or the other way around.A = addition & S=Subtraction. Just like the two operations above, these two guys are also interchangeable.

_________

Now let's get down to evaluating our expression.

We have

ExponentsMultiplicationAdditionSubtraction

[tex]\boldsymbol{f(25)=2(625)+25-3}[/tex]

[tex]\boldsymbol{f(25)=1,250+25-3}[/tex]

[tex]\boldsymbol{=1,250+22}[/tex]

[tex]\boldsymbol{=1,272}[/tex]

Hope the answer - and explanation - made sense,

happy studying!!

[tex]\tiny\boldsymbol{frozen \ melody}[/tex]

Answer:

14 = 4+4+4+(4/4)+(4/4)

18 = 4+4+4+4+(4/4)+(4/4) or 4*4+(4/4)+(4/4)

Step-by-step explanation:

General rules people unconsciously follow in estimating probabilities are known as heuristic.

According to the statement

we have to explain all about the term by which people unconsciously follow in estimating probabilities.

So, For this purpose, we know that the

A heuristic, or heuristic technique, is any approach to problem-solving that uses a practical method or various shortcuts in order to produce solutions that may not be optimal but are sufficient given a limited time frame or deadline.

By this way, we solve the probabilities without any formula of probability.

In other words it is a method which solves the every problem without any formula.

So, General rules people unconsciously follow in estimating probabilities are known as heuristic.

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Answer:

20 - 15 • 125

Step-by-step explanation:

The expression 12 - 7 × 125 is equivalent to the expression negative 863.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 12 - 7 × 125

Simplify the expression, then the value of the expression will be

⇒ 12 - 875

⇒ -863

The expression 12 - 7 × 125 is equivalent to the expression negative 863.

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The correct option is B.

Thus, 68% percentage of the balls weigh within one standard deviation of the mean.

What is the empirical formula rule?

The Empirical Rule indicates that 99.7% of data that are observed to have a normal distribution fall within 3 standard deviations of the mean. According to this formula, 68 percent of the data are within one standard deviation, 95 percent are within two standard deviations, and 99.7 percent are within three standard deviations of the mean.

According to the empirical formula rule:

Because approximately 68% of the data falls within a standard deviation of the mean, according to the empirical rule, 68% of the balls' weights fall within that range.

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I understand that the question you are looking for is:

The weights of tennis balls are normally distributed, with the mean being 5.15 ounces and the standard deviation being 0.10. what percentage of the balls weigh within one standard deviation of the mean

A. 50%

B. 68%

C. 95%

D. 99.7%

Using it's concept, there is a 55% probability that the next chew Fatoumata removes from the bag will be orange or apple.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of 29 experiments, an orange or apple were selected 16 times, hence the probability is found as follows:

p = 16/29 = 0.5517 x 100% = 55.17%.

There is a 55% probability that the next chew Fatoumata removes from the bag will be orange or apple.

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Answer:

(1, -1)

Step-by-step explanation:

Reflecting over the y-axis means

[tex](x,y) \longrightarrow (-x,y)[/tex]

So,

[tex]R(-1,-1) \longrightarrow (1,-1)[/tex]

The coordinates of R' is given as (1,-1)

Coordinates of point R is given as (-1,-1) and it is required to find the Coordinates of reflection of R about y-axis.

What is reflection in coordinate geometry ?

reflection in coordinate geometry this represents the flip or mirror image of transformation about the given axis.

Thus, the given point R is in 3rd quadrant and its mirror image over the y-axis will be in the 4th quadrant with Coordinates R' as (1,-1). Graphical representation of R and its mirror image is given below.

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Answer:0.5 is a rational number because it is a terminating decimal. It is fixed value.

Hope u r satisfied now....

Answer:

Rational

Step-by-step explanation:

The decimal 0.5 can be expressed as the fraction 1/2 therefore it is a rational number.

Hope this helps

Answer:

24 cm

Step-by-step explanation:

Let the side be s and diagonal be d.

The relationship between the side and diagonal of a square is:

d = s√2

Substitute the value of s to find d:

d = 12√2 × √2 = 12 × 2 = 24 cm

Answer:x=-4

Step-by-step explanation:I hope i have helped u if u can check out my question i need help also! Thx

[tex]5x-11=6x-7\\-11=1x-7\\-4=1x\\x=-4[/tex]

Correct option is D) a+2b

If a is an odd integer and b is an even integer, a+2b is an odd integer.

What are odd and even numbers?

Even numbers are ones that can be divided into two equal parts, but odd numbers cannot be divided into two equal parts.

If a is odd and b is even, then

A. 3b=3×even=even

B. a+3=odd+odd=even

C.2(a+b)=2×(odd+even)=2(odd)=even

D. a+2b=odd+2(even)=odd+even=odd

E. 2a+b=2(odd)+even=even+even=even

Hence 'D' is the correct choice.

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The equation is a plane.

How to describe and sketch the surface in R3 represented by the equation x+y=2?

given that the surface in R3 represented by the equation x+y=2.

now take the plane with x , y and z axis.

z value can take any value.

x and y must be satisfied with the equation x+y=2.

when y = 0

[tex]x + y = 2 \\ x + 0 = 2 \\ x = 2[/tex]

when x = 0

[tex]x + y = 2 \\ 0 + y = 2 \\ y = 2 [/tex]

when take x = 1 and y = 1

[tex]x + y = 2 \\ 1 + 1 = 2[/tex]

so, the points are (0,2,0) , (2,0,0) , (1,1,3)

Then plot the point and using this points draw the plane.

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