HELP pls will mark you the brainliest

The equation of the ellipse and the equation of the hyperbola can be derived from the given information and the general form of the equations.

Part A: The equation of the ellipse is [tex]\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]

Part B The equation of the hyperbola is [tex]\frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]

Part C: The domain of the ellipse is; [-3, 3]

The domain of the hyperbola is; (-∞, -4]

The domains of the ellipse and the hyperbola do not intersect, therefore, the system of the equation has no solution.

A planar curve with two focal points is called an ellipse if at every point on the curve the sum of the two distances from the focal points is constant.

The domain of the hyperbola = x < The negative vertex

∴ The domain of the hyperbola = x < -4 = (-∞, -4]

The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system

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Answer:

Always

Step-by-step explanation:

A whole number will always be an interger.

The y-intercept represents the initial height when the were planted.

The height of both plants will never be the same.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The equations y = 13.6x + 21 and y = 9.4x + 21 represent the heights of two flower plants in a garden in millimeters.

We know y-intercept is when x = 0,

Therefore,  y = 21 and y = 21 represent the initial height when they were planted.

The height of the plants will never be the same because the initial height was the same but one plant is growing faster than the other.

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Answer:

560

Step-by-step explanation:

7*20*4=560

a)

The expression that represents the number of lawns Eve mows in those 8 weeks is 8(L- 2)

b)

The value of the expression is 8.

c)

The tabular table is given above.

d)

Eve mowed 24 lawns in 8 weeks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Logan:

Number of lawns each week = L

Number of lawns 8 weeks = 8L

Eve:

Number of lawns each week = )L - 2)

Number of lawns 8 weeks = 8(L- 2)

a)

The expression represents the number of lawns Eve mowed in those 8 weeks.

= 8(L -2)

b)

When L = 3,

8 (L - 2)

= 8 (3 - 2)

= 8 x 1

= 8

c)

Tabular table

                Number of weeks     Number of lawns

Logan         x                                xL

Eve            x                                 x(L - 2)

d)

Logan:

Number of lawns in one week = 5

L = 5

Eve:

Number of lawns in 8 weeks.

= 8 (L - 2)

= 8 (5 - 2)

= 8 x 3

= 24

Thus,

a) 8(L- 2)

b) 8

c) Tabular table is given above.

d) Eve mowed 24 lawns in 8 weeks.

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Rita's old lawn mower will start after exactly three pulls 12.8% of the time,

The binomial probability formula states that the probability of success occurring precisely x times in n trials is equal to the product of the probability of success (p) and the probability of failure (1-p) raised to the power of n-x. This can be used to calculate this. The probability of success occurring exactly three times is equal to 0.2 x 0.8 x 0.8, or 12.8%, given that the number of trials (n) and the probability of success (p) is both 20 percent.

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The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

Since the sequence increases by 2, it is an arithmetic sequence.

The formula the nth term an arithmetic sequence is expressed as;

aₙ = a₁ + d( n - 1 )

Given the sequence; 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Therefore, the explicit formula is aₙ = 2n + 12.

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The fraction of the books in the bookcase that are non-fiction is 2/5.

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, there are 6p+18 fiction books and 4p+12 non-fiction books in a bookcase, we need to find the fraction of the books in the bookcase that are non-fiction.

Therefore,

Number of fictional books = 6p+18

Number of non-fictional books = 4p+12

Total books = 6p+18+4p+12 = 10p+30

Therefore,

the fraction of the books in the bookcase that are non-fiction is given by,

Number of non-fictional books / Total books

= 4p+12 / 10p+30

= 4(p+3) / 10(p+3)

= 4/10

= 2/5

Hence, the fraction of the books in the bookcase that are non-fiction is 2/5.

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Sabotage is the most serious threat to aviation safety. Airport security could be increased.

The relative normal probability plot of aeroplane crashes is derived by using its concept:

Error of the pilot: 503/1944 = 0.258.

90/1944 erroneous by humans: 0.046.

326/1944 = 0.167 for weather.

issues with the mechanics: 382/1944 = 0.196.

643/1944 = 0.330 sabotage.

Sabotage provide the chief concern as a result of the higher relative frequency; therefore, airport security could be increased.

Define Relative Frequency.

The number of desired outcomes divided by the total number of outcomes yields a relative frequency.

The total number of accidents in this problem is provided by:

503+90+326+382+643 = 1944

Following are the relative frequencies of each cause:

Error of the pilot: 503/1944 = 0.258.

90/1944 erroneous by humans: 0.046.

326/1944 = 0.167 for weather.

issues with the mechanics: 382/1944 = 0.196.

643/1944 = 0.330 sabotage.

Due to Sabotage provide the greatest concern as a result of the increased relative frequency; therefore, airport security should be increased.

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False. A sample is a subset of all possible data values for a given subject under consideration, not the set of all possible data values.

What is sample space?

The set of all potential outcomes for an experiment is referred to as the sample space S in a random experiment. The results of a random experiment, also known as sample points, are incompatible (i.e., they cannot occur simultaneously).

A sample is a portion of a larger set of data that is selected for analysis or representation. It is not the entire set of all possible data values for a given subject, but rather a smaller subset chosen for the purpose of study.

Sampling is important because it allows researchers to study and make inferences about a larger population with a smaller, more manageable amount of data.

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It takes approximately 26.56 seconds for the ferris wheel to make one revolution.

The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.

This occurs when the sine function returns to its maximum value, which is 1.

Thus, we have the following equation:

20 * sin(π/30 * t) + 10 = 20

Solving for t,

we will get:

sin(π/30 * t) = 0.5

Taking the inverse sine of both sides:

(π/30 * t) = sin^-1(0.5)

Multiplying both sides by 30/π,

we will get the following:

t = (30/π) * sin^-1(0.5)

Now solving the value of t

We will get it as: t ≈ 26.56 seconds.

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The relative frequency that a pupil studies French is 0.1

This refers to the proportion of one event's frequency to all events' frequencies in a statistical experiment.

Given that:

The total number of data values is 300

The frequency of a pupil that studies French is 30

The relative frequency is 30/300 = 0.1

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Answer:

97oz

Step-by-step explanation:

16oz per lb

16x6=96

96oz<97oz

Answer: They are equal

Step-by-step explanation:

The solution is X =13.66.

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

given that,

(X-8)^2-7=25

(X-8)^2= 25+7

(X-8)^2=32

by, thaking sq.root both side we get,

(X-8)= √32

X= 5.66+8

X =13.66

Hence, The solution is X =13.66.

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the graph of the function g(x) = |x + 3|  will not have a negative value. graph of the given function is attached below.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a function  g(x) = |x + 3|.

Since the modulus of a function is a function that gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed an absolute value function. The outcome of this function is always positive, no matter what input has been given to the function.

Thus,

The domain of this function g(x) is - infinite to  + infinite

And range will be [0, ∞)

So the graph of the function g(x) = |x + 3|  will not have a negative value.

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Answer:

Below

Step-by-step explanation:

90 feet + 200 yrads = 90 feet + 200 *3 feet = 690 feet  EACH direction for a total of   690 * 2 = 1380 ft

Answer:

1380 ft long

Step-by-step explanation:

1. You would convert 200 yds to feet. (3ft in a yd so 600 ft.)

2. Add 600+90 to figure out how far she walked to her friend.

3. Double it because she walked the same distance to get home.

The slope of the parallel line is given by the equation m = ( -1/6 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

3x + 18y = -486   be equation (1)

On simplifying the equation , we get

Subtracting 3x on both sides of the equation , we get

18y = -3x - 486

Divide by 18 on both sides of the equation , we get

y = ( -3/18 )x - ( 486/18 )

On further simplification , we get

y = ( -1/6 )x - 27

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = -( 1/6 )

Hence , the slope of the line is m = -1/6

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Taking the quotient between the volume of sports drink and the number of players we will see that each player gets 0.95 liters.

We know that East Middle’s football team has 20.9 liters of sports drink on the field during the game. Now we want to divide that evenly among all the players of the team, and we know that the team has 22 players.

Then we just need to take the quotient between these two numbers, it is:

20.9/22

We can rewrite that as:

(209/10)*(1/22)

(209/220)

Each player receives (209/220) liters of sports drink.

We can also simplify that as (209/220) liters = 0.95  liters.

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Answer: $1095.20

Step-by-step explanation: Multiply 6% by 740 and then times that number by 8 and add it to 740, lmk if it is wrong though.

Answer:

1095.20

Step-by-step explanation:

Take the 8 for the amount of time and multiply it by .06 because .06 is repeating each year.

You get .48 when you multiply it. Take that decimal and multiply it by 740.

He will get an extra 355.20. Add that with 740.

He has $1095.20 in his account.

Scale-factor of copy to original is 3/2.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

Right side triangle is scaled copy of left side triangle

Ratio of side of copy to side of original  = (57/2) / 19 = 3/2

So, Scale factor = 3/2

Hence, 3/2 is the scale-factor in making copy of original triangle.

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Answer:

d=-28 and e=-20

Step-by-step explanation:

d×1=-24×1=e=4

d=-24-4=-28

For the given expression 3.35x + 115 = 3.25x + 125 the value of x is 100.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

The given expression is:

3.35x + 115 = 3.25x + 125

Regroup all the terms with variable x on one side of the equation:

3.35x - 3.25x = 125 - 115

0.1x = 10

x = 100

Hence, for the given expression 3.35x + 115 = 3.25x + 125 the value of x is 100.

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Vertex is (7, -6).

Vertex form is y = -9/121 (x + 7)² + 6

Standard form is y = (-9/121)x² - (126/121)x + 285/121

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph,

(4, -3), (10, 3), and (7, -6)

Now,

The vertex form of an equation is y = a(x - h)² + k

From the graph,

The vertex is (-7, 6).

Vertex form.

(-7, 6) = (h, k)

y = a(x - h)² + k

y = a(x + 7)² + 6

Now,

(4, -3) = (x, y)

So,

-3 = a(4 + 7)² + 6

-3 = a x 11² + 6

-3 = 121a + 6

-3 - 6 = 121a

a = -9/121

Now,

y = a(x + 7)² + 6

y = -9/121 (x + 7)² + 6

y = -9/121 (x² + 14x + 49) + 6

y = (-9/121)x² - (9/121 x 14)x - 9/121 x 49 + 6

y = (-9/121)x² - (126/121)x - 441/121 + 6

y = (-9/121)x² - (126/121)x + 285/121

This is the standard form.

Thus,

Vertex form is y = -9/121 (x + 7)² + 6

Standard form is y = (-9/121)x² - (126/121)x + 285/121

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Option D. Doing inferential statistics. Inferential statistics is the process of using sample statistics to draw conclusions about population parameters.

This involves making inferences about a population based on data collected from a sample, and using statistical methods to estimate the true values of population parameters, such as the mean or proportion.

Descriptive statistics, on the other hand, involves summarizing and describing the characteristics of a sample or population, without making any inferences about the larger population.

Calculating the confidence level and finding the significance level are important components of inferential statistics, as they help to assess the accuracy and reliability of the estimates made based on the sample data. However, these are not the primary processes involved in using sample statistics to draw conclusions about population parameters.

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The process of using sample statistics to draw conclusions about population parameters is called: group of answer choices

A. Calculating the confidence level.

B. Calculating descriptive statistics.

C. Finding the significance level.

D. Doing inferential statistics.

TLDR: Your answer is D. 260 square feet.

To find the area of a triangle, you must use the formula "1/2 B ⋅ H."

In this problem, your values are the following:

B = 20

H = 26

Now, you just plug these values in and solve.

1/2 (20) ⋅ 26  >  10 ⋅ 26 = 260 ft

To get the number of half-lives passed, we divide the time of flight from part a by the length of a half-life, as

given in the statement of the problem:

Number of half lives = 2×10−4

1.5×10−6 ≈ 133

The fraction of remaining muons will decrease by 1/2

every half life, so the fraction after a given number N of

half-lives will be:

1/2 × 1/2 × 1/2

· · · N times · · · × 1/2 = ( 1/2)N .

This makes the fraction remaining equal to 1/2 to the power 133:

fraction remaining = ( 1/2)

133 ≈ 10−40. That’s not very many muons

First-generation quarks are what make up pions, which are mesons with no spin. An anti-down quark and an up quark are described in the quark model. In addition to vector, rho, and omega mesons, the exchange of virtual pions also explains why there is still a strong interaction between nucleons. Pions are typically created in high-energy collisions between hadrons and are not created during radioactive decay. In some matter-antimatter annihilation processes, pions are also produced.

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Note that the full question is:

Ne of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c).Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (nu). We'll ignore the neutrinos throughout this problem.

If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 microseconds. Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects.

Cosmic rays are constantly raining down on the earth from outer space. (Figure 1)The majority of these cosmic rays are protons, and when upper atmosphere, they can convert into particles called pions (), which subsequently decay into muons with a characteristic lifetime of T.

Suppose that a cosmic-ray proton crashes into a nitrogen molecule in the upper atmosphere. 45 km above the earth's surface, producing a pia a muon. Assume that the pion has a velocity of 99.99% the speed of light and decays into a muon, which, owing to kinematics, has a downward velocity of 99.9943% the speed of light.

now let’s consider the effect of time dilation how far would the pion actually travel before decaying?

Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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The 66th term of this arithmetic sequence is equal to 653.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 13 - 3

Common difference, d = 10.

Substituting the given parameters into the formula, the 66th term of this arithmetic sequence is given by;

a₆₆ = a₁ + (n - 1)d

a₆₆ = 3 + (66 - 1)10

a₆₆ = 3 + (65)10

a₆₆ = 3 +650

a₆₆ = 653.

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The 66th term of the arithmetic sequence is 653

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

The nth term of an arithmetic sequence is given as:

a(n) = a1 + (n-1) d

a1 is the first term and d is common difference

d =10, a = 3

a(66) = 3 + ( 66-1) 10

a(66) = 3+ 65 ×10

a(66) = 3 + 650

a(66) = 653

therefore the 66th term of the sequence is 653

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The decimal form of the fraction 5 / 6 is 0.84.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fractional number is  5 / 6.

The decimal form of the number will be calculated by dividing the number 5 by the number 6.

Decimal number = 5 / 6

Decimal number = 0.8333333333333

Decimal number = 0.84

Hence, the decimal form will be 0.84 for the fraction 5 / 6.

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The roots of the given quadratic function would be -

x = {- b - √(b² - 4c)}/2     &      x = {- b + √(b² - 4c)}/2

A function describes a relationship between a dependent and independent variable. Example -

y = f(x) = 5x + 9

A quadratic function is of the form -

y = f(x) = ax² + bx + c

Given is the quadratic equation as -

x² + bx + c = 0

Using the quadratic formula, we can write the roots as -

x = {- b ± √(b² - 4c)}/2

We can write the two distinct roots as -

x = {- b - √(b² - 4c)}/2     &      x = {- b + √(b² - 4c)}/2  

Therefore, the roots of the given quadratic function would be -

x = {- b - √(b² - 4c)}/2     &      x = {- b + √(b² - 4c)}/2.

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