Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.

Answer:

Infinite

Step-by-step explanation:

No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!

Answer:

This equation has infinite solutions.

Step-by-step explanation:

The equation parts are literally the same.

-8x=-8x

If x=2

-16=-16

If x=1,000

-8,000=-8,000

and so on...

Answer:9?

Step-by-step explanation: hair

The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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To answer the question most efficiently , the standard form of the quadratic equation is the most suitable.

A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

The highest power of a quadratic function is 2.

To solve a quadratic function efficiently, we need to put the function in standard form. i.e We arrange the power in descending order.

For example, a quadratic functionf(x)= 5x-2 +x² is not in standard form. To solve this we need to put it in a form of f(x) = x²+5x -2.

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Log log scale is used to visualize data with large ranges of values, as it allows for the comparison of data with vastly different scales.

Log log scale is a type of graph which uses a logarithmic scale on both the x-axis and the y-axis, which allows for data with vastly different scales to be compared. This is especially useful when dealing with data which has very large ranges, as it allows us to zoom in on the data and compare it more easily. For example, if we are looking at data that ranges from 1 to 1000, a log log scale would allow us to see the entire range on one graph, instead of having to break it down into multiple graphs. This can be very helpful in visualizing data which spans a wide range of values, as it allows us to compare and analyse the data more effectively.

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Answer:

3.14159265358

Step-by-step explanation:

Answer:

3.141592653589

Step-by-step explanation:

pi = 3.14159265358979323846264338327950288419716939937510...

Answer: 3.141592653589

the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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Answer:

the orange one

Step-by-step explanation:

the bottom angles are gonna be the same and a triangle is 180 degrees total so

Answer:

There are n + 7 whole numbers

Step-by-step explanation:

Here, we want to calculate the number of whole numbers between 0 and n + 7

Since n + 7 is a while number, what we shall do is to simply subtract 0 from it

Thus we have; n + 7 - 0 = n + 7

So there are n + 7 whole numbers between n+ 7 and 0

Answer:

n+7

Step-by-step explanation:

n+7-0=n+7?

A passenger can travel approximately 6.875 miles for $20.

An input and an output are connected by a function. It functions similarly to a machine with an input and an output. Additionally, the input and output are somehow connected. The traditional format for writing a function is f(x) "f(x) =... "

We want to find the distance (in miles) that a passenger can travel for $20. Let's call this distance d.

Using the given function, we can set up an equation:

20 = 2.56d + 2.40

Solving for d:

2.56d = 20 - 2.40

2.56d = 17.60

d = 6.875

Therefore, a passenger can travel approximately 6.875 miles for $20.

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Answer:

( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Step-by-step explanation:

2x^2 - 2x = 1

2x^2 - 2x - 1 = 0

Here,

a = 2

b = - 2

c = - 1

D = b^2 - 4ac

D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )

= 4 + 8

D = 12

x = - b ± √D / 2a

= - ( - 2 ) ± √12 / 2 ( 2 )

= 4 ± 2√3 / 4

= 2 ( 2 ± √3 ) / 4

= 2 ± √3 / 2

x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Answer: probability distribution is a function of a discrete variable whose integral over any interval is the probability that the random variable specified by it will lie within that interval.

Answer:

m=18g

Step-by-step explanation:

Because the total miles add up by the 18miles for each gallon of gas. Which is found by multiplying each gallon of gas to mph per gallon of gas.

Answer:

a)40°

b)25°

c)50°

d)82°

e)137°

Step-by-step explanation:

angles in triangles always add to 180°

if there is a square in the triangle this means the angle is 90°

a)180°-80°-60°=40°

b)180°-75°-80°=25°

c)180°-40°-90°=50°

d)180°-51°-47°=82°

e)180°-18°-25°=137°

Answer:

question 1: 24

question 2: (1/45)*(1/5)=(1/9)

Step-by-step explanation:

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

i think it's s d because that's how many sq. there are

If we chose different intervals for binning data in a frequency table can affect the level of detail, the frequency of values, and the distribution of values in each bin. It's important to choose an interval size that is appropriate for the dataset and provides meaningful insights into the data.  Here are some ways in which the frequency table could be affected.

Choosing different intervals will result in a different number of bins, which affect the detail. For example, a smaller interval size will result in more bins, which may give a more detailed view of the data.

The frequency of values in each bin will change depending on the interval size. For example, if we have a dataset with values from 0 to 100, and we choose an interval size of 10, we will have 10 bins, each with a frequency count of values falling into that range.

The distribution of values in each bin may vary depending on the interval size. For example, if we have a dataset with values ranging from 0 to 100 and we choose an interval size of 5, we may get a more detailed view of the distribution of values.

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Answer:

Isosceles triangle

Step-by-step explanation:

Given

Triangle ABC

Required

Reflect across BC and name the triangle according to length of its side

When the triangle is reflected across line BC, the new triangle is ACA (see new attachment)

And the sides of this ACA are:

AC, CA and AA

Such that

AC = CA

and

\(AA = 2 * AB\)

\(AA = 2AB\)

From the description above, we have two sides (AC and CA) of the triangle to be equal.

By classification of sides, when two sides of a triangle are equal; such triangle is an isosceles triangle

Triangle ACA' has two equal sides, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.

Recall:

Given that triangle ABC is a right triangle, if we reflect it across line BC, we will have  mirror figure of right triangle ABC, forming triangle ACA'.

That is, two right triangles of ABC, which are reflections of each other, will form triangle ACA'. (See image attached).

Thus, this means that:

Therefore,

Also, CA = C'A (congruent sides)

This means that, triangle ACA' has two equal sides that are opposite to each other.

Therefore, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.

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Answer:

x=2

Step-by-step explanation:

when y=8,

y=2x+4

8=2x+4

4=2x

2=x

x=2

hope it helps

Answer:

Two rectangles

Step-by-step explanation:

the normal gram cracker can be broken into 4 rectangles so that's what was probably done when THEY split it ( says it in the question) so they can all get two rectangles!

Happy Saint Patricks day!

( Can I get brainlyist?)

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

Answer:

1) y= 30

2) y - 45

3) y= 60

4) y = 3

Step-by-step explanation:

Answer:

1. y=30

2. y=45

3. y=60

4. y=3

hope this helps!!!

if Scooby Doo wanted to buy 5 gallons of gas, the total cost would be $4.3092 x 5 = $21.546, rounded to $21.55.

To calculate the cost for each gallon of gas, we need to consider the sales tax applied to the price per gallon.

The gas costs $3.99 per gallon. To find out how much the sales tax adds to this price, we need to calculate 8% of $3.99.

To do this, we can multiply $3.99 by 0.08 (which is the decimal equivalent of 8%).

$3.99 x 0.08 = $0.3192

So, the sales tax on each gallon of gas is $0.3192.

To find the total cost per gallon, we need to add the sales tax to the initial price of $3.99.

$3.99 + $0.3192 = $4.3092

Therefore, the cost for each gallon of gas, including the sales tax, would be $4.3092.

In other words, if Scooby Doo wanted to buy 5 gallons of gas, the total cost would be $4.3092 x 5 = $21.546, rounded to $21.55.

It's important to note that sales tax may vary depending on the location, so the percentage used in this example may not reflect the actual tax rate. However, the process of calculating the cost per gallon with sales tax remains the same.

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Answer:

33.56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

Base is bisected by a line from top (vertex) of the triangle straight down to form a right angle.  Base, 100 cm, has 2 equal segments, 50 cm each.

Find h, height of the triangle:

h² = 60² - 50²

h = √1100 = 33.17

sin(f) = 33.17/60 = 0.553

m∠f = sin⁻¹(0.553) = 33.56°

The correct option is C, The given graph represents the rational function   \(\frac{1}{(x-1)(x-2)}\).

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Upon solving the given function,

\(\frac{1}{(x-1)(x-2)}\),

As, it is clear from the function that the value of x cannot be 1 or 2,

So,

The graph doesn't lie on x = 1 or x = 2.

So, it is the correct option.

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