Travis said the
following expressions
are equivalent because
of the distributive
property. he correct?
5r2 + 10r = 5r(r+2)

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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The approximate distance from the origin to the point (-2, -7, -4) is 8.3 units.

In three-dimensional space, the distance formula is used to calculate the distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) in a three-dimensional coordinate system.

The formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]

Here we have

The point (-2, -7, -4)

We need to find the distance between the origin to the point

Let (x₁, y₁, z₁) = (-2, -7, -4) and (x₂, y₂, z₂) = (0, 0, 0)

Using the distance formula,

d = √ [(x₂ - x₁)² + (y₂ - y₁)²+ (z₂ - z₁)² ]

d = √ [(0 - (-2))² + (0 - (-7))²+ (0 - (-4))² ]

d = √ [(2)² + (7)²+ (4)² ]

d = √ [4 + 49 + 16 ]

d = √69 = 8.3066

d = 8.3

Therefore,

The approximate distance from the origin to the point (-2, -7, -4) is 8.3 units.

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They are both really the same. so they should hold the same. All that happened is one moved a 1/2 inch over to the length from the height.  

Based on the given table, the way the annual tax revenues of Peru and Chile compare to one another is d. Chile collects $10,805,998,234 more than Peru.

This refers to the money paid to the government based on work done by its citizen for the purpose of infrastructure and improving living conditions.

Hence, we can see that based on the workforce, average salary, income tax rate, and other data, it can be noted that from the tax revenues collected by both Peru and Chile, Chile collects $10,805,998,234 more than Peru.

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Explanation:

Adults distracted by their smartphones = 50%

To get probability of exacty 4 adults getting distracted, we would apply binomial distribution

p = 50% = 0.5

Probability of exacty 4 adults getting distarcted = P(x = 4)

Inserting the values:

Answer:

Area covered by red target = 23/50

Step-by-step explanation:

Given:

Total number of shot = 50

Section      Number of shots

Red                      23

Blue                      8

Orange               10  

Yellow                 9

Find:

Area covered by red target

Computation:

Area covered by red target = 23/50

Area covered by red target = 1/2 of total area

Answer:

The fraction of the area of the Red section is \(\dfrac{23}{50}\)

Step-by-step explanation:

Given that,

The number of times the arrow landed on each colored section of the spinner is shown in the table.

Tamara spun the arrow on a spinner 50 times.

Section = Red, Blue, Orange, Yellow

Number of times arrow landed = 23, 8, 10, 9

We need to calculate the fraction of the area of the Red section

Using formula of fraction of area

\(fraction\ of\ area=\dfrac{Red\ section}{total\ section}\)

Put the value into the formula

\(fraction\ of\ area=\dfrac{23}{50}\)

Hence, The fraction of the area of the Red section is \(\dfrac{23}{50}\)

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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According to the solution we have come to find that, The equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.

what is mean by parallel lines?

Parallel lines are two or more lines that are always the same distance apart and never intersect. In other words, they have the same slope and they will never meet, no matter how far they are extended in both directions. Parallel lines always remain equidistant from each other and never touch or intersect, even if they are extended to infinity.

For example, in a Cartesian coordinate system, two lines are parallel if and only if they have the same slope. If the slope of one line is m1 and the slope of another line is m2, then the two lines are parallel if m1 = m2.

The given equation is y = -7, which is a horizontal line parallel to the x-axis. Since we need to find the equation of a line parallel to this line, the slope of the new line will also be zero.

To find the equation of the new line, we need to use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values of the given point and slope, we get:

y - 5 = 0(x - 7)

y - 5 = 0

y = 5

So, the equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.

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In a function, the relationship between the dependent and independent variables is represented by a "mathematical rule or equation". This rule defines how the value of the dependent variable changes based on the value of the independent variable.

The mathematical representation of this relationship is typically expressed as y = f(x), where "y" represents the dependent variable, "x" represents the independent variable, and "f" denotes the function.

The function provides a systematic way to determine the value of the dependent variable for any given value of the independent variable. It establishes a mapping between the two variables, where each input value of the independent variable corresponds to a unique output value of the dependent variable.

The function can take various forms, such as linear, quadratic, exponential, logarithmic, or trigonometric, depending on the nature of the relationship between the variables.

Functions play a fundamental role in mathematics, science, and various fields of study. They allow us to analyze and model real-world phenomena, make predictions, and understand the behavior of systems.

By examining the function's properties, such as its slope, intercepts, and shape, we can gain insights into how the dependent variable changes in response to changes in the independent variable.

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Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer:

Reactants: aluminum and copper chloride.

Products: copper and aluminum chloride.

Step-by-step explanation:

Let's consider the following equation.

aluminum + copper chloride ⇒ copper + aluminum chloride

Using chemical symbols, this would be:

2 Al + 3 CuCl₂ ⇒ 3 Cu + 2 AlCl₃

The substances to the left of the arrow are the reactants: aluminum and copper chloride.

The substances to the right of the arrow are the products: copper and aluminum chloride.

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

The confidence interval is:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the other parameters are:

\(\overline{x} = 21, \sigma = 26.8, n = 225\)

Hence the bounds of the interval are:

\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5\)

\(\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5\)

The interval is: (17.5, 24.5).

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Answer:

Length = 10.81 m

Width = 5.69 m

Step-by-step explanation:Let the width of the room be .

As per question, length is 1.9 times its width.

Therefore, length is,

Perimeter is 33 meters.

Perimeter is given as,

Therefore, width of the room is 5.69 m.

Length of the room is,

Therefore, the length of the room is 10.81 m.

your welcome

Answer:

1)27.25 feet

2)-0.2774,2.027

3)Domain = All real numbers

Range = y∈R : \(y \leq \frac{109}{4}\)

Step-by-step explanation:

The height of the football, h, at time t seconds is modeled by the equation \(h(t) = -16t^2 + 28t + 15\)

General quadratic equation : \(ax^2=bx+c=0\)

1) Maximum height will be at \(\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}\)

To find maximum height Substitute \(t = \frac{7}{8}\) in the given equation

\(h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet\)

2)

Substitute h(t)=6

So, \(-16t^2+28t+15=6\)

\(-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027\)

3)

Domain = All real numbers

Range = y∈R : \(y \leq \frac{109}{4}\)

Answer:

x = 5/19

Step-by-step explanation:

For left side, apply logarithm division property:

\( \displaystyle{ \ln a - \ln b= \ln \left( \dfrac{a}{b} \right)}\)

Hence:

\( \displaystyle{ \ln \left( \dfrac{x}{4x - 1} \right) = \ln 5}\)

Since both sides have same ln, we can cancel ln both sides:

\( \displaystyle{ \dfrac{x}{4x - 1} = 5}\)

Solve the equation for x:

\( \displaystyle{x = 5(4x - 1)} \\ \\ \displaystyle{x = 20x - 5} \\ \\ \displaystyle{5 = 20x - x} \\ \\ \displaystyle{5 = 19x} \\ \\ \displaystyle{x = \dfrac{5}{19}}\)

Therefore, x = 5/19

Answer:

slope is -7/8

Step-by-step explanation:

ok

first remember these to formulas:

\(m= \frac{y2-y1}{x2-x1}\)

and

\(y-y1 = m(x-x1)\)

now insert the points:

\(\frac{-3-4}{3-(-5)}\)= -7/8

slope intercept form:

y - 4 = -7/8(x - (-5)

y - 4 = -7/8(x + 5)

y =  -7x/8 - 3/8

Have a nice day!

and if you have a question or if I did anything wrong please tell me.

Answer:

D

Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.

Answer:

are parallel

Step-by-step explanation:

because the lines doesn't meet so it's parallel

Answer:

tax is 2.58

Step-by-step explanation:

Answer:

.06 times 43 is $2.53 in tax

Step-by-step explanation:

Answer:

238 ft

Step-by-step explanation:

7x24=168

7x10=70

168+70=238

lengthxwidthxheight

Step-by-step explanation:

I think its 1 4/5

if I'm right can I have brainly

The kind of sample being used is a convenience sample.

A convenience sample, which involves the selection of individuals or groups based on their accessibility, is classified as a non-probability sampling method.

Convenience sampling is frequently employed in situations where utilizing a probability sample is not feasible or realistic. The student can solely compile information from the adult attendees of the school event. The selection of participants by the student is not random, therefore this is a convenience sample rather than a representative sample of all adults in the population.

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Answer:

x^3+2x^2-15x

Step-by-step explanation:

Ohk there various methods and steps which can be followed,but let's simplify

In the first method,

Lets put off the brackets hence we will multiply,simplify the equations in the brackets,which would be as followed:

x(x-3)(x+5)

Let's Start with solving the bracket equation,which would be-

(x-3)(x+5)=x(x+5)-3(x+5)=x^2+5x-3x-15

=x^2+2x-15

While multiplying the above equation we got with `x',we get:

x(x^2+2x-15)=x^3+2x^2-15x(Hence solved)

Or/otherway/otherwise:

x(x-3)(x+5)=[x(x-3)](x+5)=(x^2-3x)(x+5)

=x^2(x+5)-3x(x+5)=x^3+5x^2-3x^2-15x

=x^3+2x^2-15x(Solved)

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

17

Step-by-step explanation:

65% can be simplified to \(\frac{13}{20}\). Multiplying \(\frac{13}{20}\) by 25 gets 16.25 but since 16 would get you under 65%, you would need to correctly answer 17 questions.