A scientist created a scatter plot to represent the heights of four plants over time. Then, she found a line of best-fit to model the height in centimeters of each plant after x days. The equations of each trend line are given in the table.


Trend Line Equations
Plant
Equation of trend line
1
y = three-halves x + three-halves
2
y = 2 x + 1
3
y = one-half x + 3
4
y = three-halves x + 1

According to the trend line equations, which plants are growing at the same rate per day?
1 and 2
1 and 4
2 and 3
2 and 4

Answer: B

Step-by-step explanation:

Answer:

161 degrees since 180 - 19 would be 161 since they are supplementary if they are

Step-by-step explanation:

Answer: 24x² + 20x + 4

Step-by-step explanation:

       Area of a rectangle can be found with A = L * W;

               A = L * W

               A = (8x + 4) * (3x + 1)

       Now we can use the "FOIL" method, which is used to multiply binomials.

[F] First ➜ 8x * 3x = 24x²

[O] Outside ➜ 8x * 1 = 8x

[I] Inside ➜ 4 * 3x = 12x

[L] Last ➜ 4 * 1 = 4

       Lastly, we add it all together for our final answer.

24x² + 8x + 12x + 4 = 24x² + 20x + 4

Answer:

24x^2+20x+4

Step-by-step explanation:

Area is length times width.

The length is (8x+4) and the width is (3x+1).

If we follow the formula for the area of a rectangle, then it would be

(8x+4)(3x+1).

Next, you would foil.

Take the first and multiply it by the second equation as follows

8x*3x+8x*1 which would give you

24x^2+8x

Then, you would take the second from the first equation and multiply it with the second equation as well.

4*3x+4*1 which would give you

12x+4

Combine all of it together

24x^2+8x+12x+4

Combine like terms

24x^2+20x+4

That's the area.

Hope this helps.

Based on the vertices of point B, the image point of point A before the translation is (-5, 5)

To find the original image point, you need to move in reverse from the point that was created by the translation.

In order to find point A,  from point B you should move left 4 units and down 3 units.

This means that the x-axis point would be:

= -1 - 4

= -5

The y-axis point:
= 8 - 3

= 5

The image point of A is (-5, 5)

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Answer:

Step-by-step explanation:

1/6

The equation will be: 4.65r + 4.95p = 874.80

The total cost of gas will be sum of the individual costs of both the types of gas. Firstly, calculating cost of regular and premium gas followed by forming the equation.

The total cost of regular gas = Amount of regular gas × Cost of regular gas per gallon

The total cost of regular gas = 4.65 × r

The total cost of premium gas = Amount of premium gas × Cost of premium gas per gallon

The total cost of regular gas = 4.95 × p

We are given overall spending = 874.80

Forming the equation -

Total cost of regular gas + total cost of premium gas = overall spending on gas

4.65r + 4.95p = 874.80

Hence, the equation that models the situation is 4.65r + 4.95p = 874.80.

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The value of the fourth element of the series is 13.

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

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Answer:

Step-by-step explanation:

The value of the fourth element of the series is 13.

How to determine the value of an element of the series by using recurrence formulas

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

According to the given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

The correct option is D.

A conversion factor is a quantity that is used to multiply as well as divides one set of units by another. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches to feet, for example, the suitable conversion value is 12 inches equal 1 foot.

Conversion KPIs are critical for determining the efficacy of marketing campaigns. Only by measuring how many users convert as a result of that spend can you calculate your ROAS.

We are given an amount of 350 milliliters and asked to convert it to liters.

We know that :

1 liter = 1000 milliliters

We are given an amount of 350 milliliters and asked to convert it to liters.

1 liter/x liter = 1000/350

x = 350/1000

x = 3.5 x 10⁻¹

The given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

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I understand that the question you are looking for is:

Which measurement is equivalent to 350 milliliters?

A. 3.5 × 102 liters

B. 3.5 × 101 liters

C. 3.5 × 10–2 liters

D. 3.5 × 10–1 liters

In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint.

Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint. To get orange shade she has to add 4 ounces of yellow paint to get same shade.

Given that,

In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint. Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint.

We have to see the ratio

4:1

extra 1 red paint that is

4+1:1

5:1

Therefore, To get orange shade she has to add 4 ounces of yellow paint to get same shade.

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If amusement park cost is $10 for adults  and $6 for children, then the total cost for 2 adults and three children is $38

Given,

The cost for 1 adult = $10

The cost for 2 adults = 2×10= $20

The cost of children = $6

The cost of three children = 3×6 = $18

Then the total cost = 20+18= $38

Hence, If amusement park cost is $10 for adults  and $6 for children, then the total cost for 2 adults and three children is $38

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If Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

Given,

The total invested amount = $8000

Consider the amount invested at 5% simple interest as x and the amount invested at 6% simple interest as y

Then, the equations will become

x + y= 8000

x = 8000-y

At the end of one year the investment = $454

0.05x + 0.06y =454

Substitute the value of x in the equation

0.05(8000-y) + 0.06y =454

400-0.05y+0.06y =454

0.01y+400=454

0.01y =54

y = 5400

Substitute the value of x in

x + y = 8000

x+5400=8000

x=8000-5400

x=2600

Hence, if Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

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Answer: 265.000

Step-by-step explanation:

Answer:

(3x - 5)(x - 6).

Step-by-step explanation:

In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,

since 18 + 5= 23 and 18*5

We can then factor the quadratic as follows:

[tex]\sf 3x^2 - 23x +30[/tex]

we can write it as:

[tex] \sf 3x^2 -(18+5)x + 30 [/tex]

Opening bracket

[tex] \sf 3x^2 - 18x -5x +30  [/tex]

Taking common from each two terms

[tex] \sf 3x(x-6) -5(x-6)  [/tex]

Taking common and keeping remaining in bracket

[tex] \sf (x-6)(3x-5)  [/tex]

Therefore, the quadratic of [tex] \sf 3x^2 - 23x +30  [/tex] can be factored as (3x - 5)(x - 6).

The values of x and y in the lines are x = 13 and y = 54

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

The lines m and n are parallel lines

This means that the following angles are congruent by the corresponding angle theorem

7x - 31 + 5x - 8 + 63 = 180

4y + 27 - 180 = 63  

Solving the equation 4y + 27 - 180 = 63  

We have the following representation

4y + 27 - 180 = 63  

Evaluate the like terms

4y = 216

Divide by 4

y = 54

Recall that

7x - 31 + 5x - 8 + 63 = 180

Evaluate the like terms

12x = 156

Divide by 12

x = 13

Hence, the values are x = 13 and y = 54

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Answer:

78.5m

Step-by-step explanation:

Area of circle = [tex]\pi[/tex]r^2

Area of clock = 3.14 x 5^2 = 78.5m

Answer:

8x - 4y

Step-by-step explanation:

First: solve the parentheses

8x - 7y - (3-6y)

Second: combine like terms (terms that both have y or x, or other variable)

8x - 7y - (-3y)

Third: there are no more like terms, so you are left with this as your answer

8x - 4y

The circumference of the Canadian $1 coin is 83.21 mm

For given question,

We have been given the Canadian $1 coin has a diameter of 26.5 mm.

We need to find the circumference of the coin.

We know that circumference of a circle of radius r is,

c = 2πr

The Canadian $1 coin has a diameter of 26.5 mm.

So, the radius of the coin would be,

r = 26.5 /2

r = 13.25

Using the formula of circumference, the circumference of the coin would be,

⇒ c = 2πr

⇒ c = 2 × π × r

⇒ c = 2 × 3.14 × 13.25

⇒ c = 83.21 mm

Therefore, the circumference of the Canadian $1 coin is 83.21 mm

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Answer:

How to write 0.0000000642 in scientific notation? The number 0.0000000642 in scientific notation is written as 6.42 × 10 -8. Scientific notation is a way of expressing numbers that are too large or too small, written in the form of a power of 10.

I hope this helped! Contact me for more information!

Answer: 6.42*10^(-8)

Step-by-step explanation:

0.0000000642=

0.642/10000000=

6.42/(10*10000000)=

6.42/100000000=

6.42/(10^8)=

6.42*10^(8*(-1))=6.42*10^(-8)

According to the question, a region is bounded by semicircular arcs on the side of the squares. Therefore, the side of the square is the diameter of the circle.

And the side of the square is [tex]\frac{2}{\pi }[/tex].

Now, the radius of the semicircle is [tex]\frac{1}{2} \frac{2}{\pi } =\frac{1}{\pi }[/tex]

The length of the semicircular arc is equal to half the circumference of the corresponding circle.

Therefore, the length of the arc is [tex]\frac{1}{2} (2)(\pi)\frac{1}{\pi } =1[/tex]

Now, the desired parameters of the region made by these arcs is [tex](4)(1)=4[/tex]

What are semicircular arcs and circumference of the circle?

Semicircular arcs is another name for the semicircle. It divides the circle into two parts. And the endpoints on a circle defines the minor arc or major arc. Similarly, circumference is the perimeter of the circle.

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Answer:

x = 80

Step-by-step explanation:

750 - 70 = 680

680 / 8.5 = x

Answer:

Step-by-step explanation:

(2 - y)(3y + 8) = 0

2 - y = 0

y = -2

3y + 8 = 0

y = -8/3

Answer:The common denominator is 42.

Step-by-step explanation:mutiply 6 x 7

Answer:

This would be 42,

to find this, just find the lcm of 6 and 7, you can do this by writing a chart and circling the least common multiple they both share

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

14x

Step-by-step explanation:

2x*7=

2*7=14x

Answer: 20

Step-by-step explanation:

2x7 + 2x3=

2*7 + 2*3=

14+6=20

Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.

For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:

$90.93/7 = $12.99.

The cost of 5 t-shirts will be given by:

5 x 12.99 = $64.95.

Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:

64.95 x 8.6964 = 564.83 Kronas.

The cost of the 5 t-shirts would be of 564.83 Kronas.

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-1)}) \implies y +1= -4 (x +1) \\\\\\ y+1=-4x-4\implies {\LARGE \begin{array}{llll} y=-4x-5 \end{array}}[/tex]

The equation that can be used to determine the cost of a bag of potatoes is $31.69 - $4.09 = 4x

The cost of a bag of potatoes is $6.90

From the question, we are to write and solve an equation that could be used to determine x, the cost of a bag of potatoes

From the given information,

Serenity buys milk and potatoes at the store and she pays a total of $31.69

and

She pays a total of $4.09 for the milk

Thus,

The amount she pays for potatoes is $31.69 - $4.09

Also, from the information,

"She buys 4 bags of potatoes that each cost the same amount"

If x represent the cost of a bag of potatoes, then we can write that

$31.69 - $4.09 = 4x

This is the equation that can be used to determine the cost of a bag of potatoes

Now,

Solve the equation for x

$31.69 - $4.09 = 4x

$27.60 = 4x

x = $27.60/4

x = $6.90

Hence, the cost of a bag of potatoes is $6.90

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The 4th statement is the most correct, imo

"There is a much larger preference for science among those who prefer R&B", but there is only less than 20% of the students who prefer science.

"There is a much larger preference for English among those who prefer rock", but there is only a little more than 20% of the students who prefer english.

"There is a much smaller preference for math among those who prefer country", but nearly 40% of the students prefer math.

And looking at it, all the subject preferences for all kind of music groups are pretty much evenly distributed.

The solution to the box plot is the percentages for class preference are relatively the same among the different music groups

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Let the plot be represented as A

Now , the x axis represents the favorite music type

And , the y axis represents the relative frequency

From the R and B column , the science people is less than mathematics people

From the Rock column , the English people is less than mathematics people

From the country column , mathematics people is greater than  English people

And , from the plot we can say that percentages for class preference are relatively the same among the different music groups

Hence , the box plot represents similar percentages

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