Y=5x
A proportional relationship

Answer:

Always

Step-by-step explanation:

A whole number will always be an interger.

The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

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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.

Answer:

97oz

Step-by-step explanation:

16oz per lb

16x6=96

96oz<97oz

Answer: They are equal

Step-by-step explanation:

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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Answer:

d=-28 and e=-20

Step-by-step explanation:

d×1=-24×1=e=4

d=-24-4=-28

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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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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Jim needs a score of 97 on his third test to keep an average of 85 or greater.

Average refers to the sum of a set of numbers divided by the count of numbers in the set. It gives a typical or central value that represents the set of numbers.

Given,

The average of his first two tests is (69 + 82) / 2 = 75.5.

To get an average of 85,

he needs the sum of his three tests to be 3 * 85 = 255.

So, the sum of his first two tests is 255 - x, where x is the score he needs on the third test.

Therefore, x = 255 - (69 + 82) = 255 - 151 = 104.

So, he needs a score of 104 on his third test.

Jim needs a score of 97 on his third test to keep an average of 85 or greater.

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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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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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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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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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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.

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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Answer: C!

Step-by-step explanation: Because I'm Him. all jokes aside this is the right answer.

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

The probability that the sum of the two rolls equals 4 is  1/12.

Given in the question that a single die with 6 sides is rolled twice, we have to calculate the probability that the sum of the two rolls equals 4.

the set of possible outcomes when we roll a die are {1,2,3,4,5,6}

So when we roll two dice there are 6 × 6 = 36 possibilities

The number of possible combinations that will result in a sum of 4 is (1, 3), (2, 2), and (3, 1). Since there are 6 possible outcomes for each die, the probability of rolling a specific combination is 1/36. There are 3 combinations that will result in a sum of 4, so the probability of rolling a sum of 4 is 3/36 or 1/12.

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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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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.

Three consecutives even integers are 42, 44, and 46.

The three consecutives even integers can be represented as x, x+2, and x+4. We can create an equation to solve for x, using the given information.

3(x+4) = 52 + x + (x+2)

3x + 12 = 54 + 2x

x = 42

Therefore, the three consecutives even integers are 42, 44, and 46. To explain this answer, we can use the equation we created. We know that the sum of the smaller two integers is 52 less than three times the largest. We can represent this as 3(x+4) = 52 + x + (x+2). We can then solve for x by subtracting 2x from both sides and adding 12 to both sides, resulting in x = 42. This means that the three consecutives even integers are 42, 44, and 46.

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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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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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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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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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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

Answer:

A) Function f is translated up 3 units.

B) Function f is translated to the right 5 units.

Step-by-step explanation:

Given functions:

[tex]f(x)=\sqrt[3]{x+4}[/tex]

[tex]g(x)=\sqrt[3]{x-1}+3[/tex]

To transform function f to function g, first subtract 5 from the x:

[tex]\begin{aligned}f(x-5)&=\sqrt[3]{x-5+4}\\&=\sqrt[3]{x-1}\end{aligned}[/tex]

Now add 3 to the function:

[tex]f(x-5)+3=\sqrt[3]{x-1}+3[/tex]

When a number "n" is subtracted from the x variable of a function, the function is translated "n" units to the right.

When a number "n" is added to a function, the function is translated "n" units up.

Therefore, the transformations performed from function f to function g are:

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:

Step-by-step explanation:

The candy bar cost, in dollars, is $1.05

Say the price of a piece of bubble gum is x.

This means that we can represent our scenario with the equation (x+1)+x=1.10, with (x+1) representing the price of a candy bar.

We can then solve from there.

We have given that,

(x+1)+x=1.10

Simplify above expression

2x+1=1.10

2x=0.10 - Subtract From Both Sides

x=0.05 - Divide From Both Sides

So now we have the price of the piece of bubble gum, but we want the cost of the candy bar.

What is the cost?

Cost is the value of money that a company had to spend to produce its goods or services.

Fortunately, we know it costs one dollar more than the piece of bubble gum, so just do 0.05 + 1. This means our candy bar costs $1.05.

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Answer:

Soda = 2.35

Pack of bubble gum = 1.15

Chocolate bar = 1.64

2.35 + 1.15 + 1.64 = 5.15

Answer: Dottie spent a total of $5.15.