Use ratio language to describe the relationship of any two things you can think of.

make this answer resonable and i will mark you brainliest
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Option third "words per minute, because the independent quantity is the minutes" is the correct choice.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have a statement:

Which of the following is the most appropriate unit to describe the rate at which a person reads?

As we know the rate of change is the ratio of change in y to change in x.

y is the dependent quantity and x is the independent quantity.

Rate of change = change in y/change in x

Rate at which a person reads = words/minute

Word is the dependent quantity and minute is the independent quantity.

Thus, option third "words per minute, because the independent quantity is the minutes" is the correct choice.

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The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

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Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

In our case, we need to determine the value of x so that we can have repeated or duplicated inputs or x-values because duplicated inputs mean the relation would not be a relation.

Given

{(0, 1), (x, 0), (3, 5), (2, 6)}

Now, if we put x = 3, the relation would become:

{(0, 1), (3, 0), (3, 5), (2, 6)}

Here, x = 3 is repeated twice, and we can not have duplicated inputs as there should be only 1 output for each input.

Therefore,

For the value of x = 3, the relation would not be a function.

Note: The same can be said about the values of x = 0, or x = 2 because then the the dupilcated values be x = 0 or x = 2 respectively.

Step-by-step explanation:

I am not sure what is expected in the a(n) box. is this looking for the a(n) definition based only on a1 (instead of a(n-1)) ?

a. is an arithmetic sequence. that means every term of the sequence is created by the previous term plus a certain number. in our case here this number is -3.

so, the series goes

a1 = 7

a2 = 7 - 3 = 4

a3 = 4 - 3 = 1

a4 = 1 - 3 = -2

a5 = -2 - 3 = -5

an = a1 - 3×(n-1) as except for a1 we need to deduct 3 for every term = n-1 terms.

=> an = 7 - 3×(n-1)

b. is neither. for a geometric series we create every term by multiplying the previous term by a certain factor. but this series does not only multiply by also add -1.

so, it is a mixed form.

b1 = 2

b2 = 2×2 - 1 = 3

b3 = 2×3 - 1 = 5

b4 = 2×5 - 1 = 9

b5 = 2×9 - 1 = 17

for bn we need to think a little bit.

b2 = 2×b1 -1

b3 = 2×b2 - 1 = 2×(2×b1 - 1) - 1 = 4b1 - 2 - 1 = 4b1 - 3

b4 = 2×b3 - 1 = 2×(4b1 - 3) - 1 = 8b1 - 6 - 1 = 8b1 - 7

b5 = 2×b4 - 1 = 2×(8b1 - 7) - 1 = 16b1 - 14 - 1 = 16b1 - 15

b6 = 2×b5 - 1 = 2×(16b1 - 15) - 1 = 32b1 - 30 - 1 = 32b1 - 31

so, we see the first part with b1 to grow by the factor 2^(n-1). and the second part (the negative constant) "grows" by adding -2^(n-1) for n >=2

but hold on, this would give us always even numbers, and they would always be 1 too small (-2, -4, -8, -16, -32 instead of -1, -3, -7, -15, -31), so we need to add 1

so,

bn = b1×2^(n-1) - 2^(n-1) + 1, n >= 2

Teuta bought the car for 8545.71 eu.

What is percent in math?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Let's assume that the initial price of the car is x.

After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x

We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8

Solving for x, we get: x = 6575.8/0.77 8545.71

Therefore, Teuta bought the car for approximately 8545.71 eu.

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Answer:

there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be

Step-by-step explanation:

Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D

Use Bayes Theorem to compute that probability. I will denote bath as \(B\) and nap as \(N\), the probability will be denoted as \(P(B)\) or \(P(N)\).

By Bayes Theorem

\(P(B\mid N)=\frac{P(N\mid B)\cdot P(B)}{P(N)}\)

Which reads,

"What is the probability of \(B\) given \(N\)".

We know that \(P(N\mid B)\) is 1 because we already took a bath. So the formula simplifies to,

\(P(B\mid N)=\frac{P(B)}{P(N)}\)

Now insert the data,

\(P(B\mid N)=\frac{1/5}{4/5}=\boxed{\frac{1}{4}}\)

So the probability that you will take a bath is \(0.25\) after you have taken a nap.

Hope this helps. :)

The expected number of people out of 700 to order plain vanilla ice cream flavor is given as follows:

b. 224 people.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of 3 x 50 = 150 people surveyed, 17 + 15 + 16 = 48 ordered plain vanilla ice cream, hence the probability of a person ordering plain vanilla ice cream flavor is given as follows:

p = 48/150

Then, out of 700 people, the expected number of people to order the plain vanilla flavor is given as follows:

700 x 48/150 = 224 people.

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a) The estimate for the percentage of the bill left as a tip with a bill of $15 is of 17.62%, which is reasonable.

b) The estimate for the percentage of the bill left as a tip with a bill of $50 is a non-reasonable -4.5%.

The line of best fit in this problem is defined as follows:

y = -0.632x + 27.1.

In which the variables are defined as follows:

Hence, for a bill of $15, the estimate is found replacing x by 15, as follows:

y = -0.632(15) + 27.1 = 17.62%.

Which is reasonable, as it is a positive number.

For a bill of $50, the estimate is obtained as follows:

y = -0.632(50) + 27.1 = -4.5%.

Which is not reasonable, as it is a negative number.

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Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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Point L best represents the ordered pair (\(4, -3\frac{1}{2}\)). This can be solved by using the concept of graph.

Correct option: B

A graph's fundamental connection is represented by a point. A pair of integers with two coordinates for each point serve as its definition. One of a group of integers called coordinates is used to specify a point's position on a graph. There are x and y coordinates for every point to identify it.

To find that x-coordinate of a location on a graph, examine the number just below or above the point on the x-axis. By reading the y-axis reference number towards the left or right of both the point, one may get the y-coordinate of that point.

Because 4 means through x - axis it is pointed at 4

\(- 3\frac{1}{2}\) means through negative side of the y -axis it is pointed at 3.5

So, it's best represent the L point.

Correct option: B

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The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Answer:

40 students are in the class :)

Step-by-step explanation:

35%=14

1%=14/35=0.4

0.4*100=40=100%

Answer:

$4.20 / 7 erasers = $0.60 per eraser

So each eraser in the package costs $0.60.

Answer:

24 students where studying one language

Step-by-step explanation:

Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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Answer:

The correct answer is A

Step-by-step explanation:

Hope this helps

Answer:

670,000

Step-by-step explanation:

because 10 to the 4 power is 10,000 just add the zero of the number and times 67 give you the answer 670,000

Answer:

\(4 {x}^{2} - 4x - 8 - (2 {x}^{2} + 3x - 6) = 4 {x}^{2} - 4x - 8 - 2 {x}^{2} - 3x + 6 = 2 {x}^{2} - 7x - 2\)

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer: You would have $109,802.56 in the end.

Step-by-step explanation:

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

thanks for the points here u go to

Step-by-step explanation:

Answer:

Inequality Form: x > 17

Interval Notation: (17, ∞)

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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