A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t.


Plant A
Time in weeks, t
60
80
100
120
Height in inches, h
90
120
150
180


Plant B
h = StartFraction 4 t Over 3 EndFraction



A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360).

If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
180 inches
200 inches
270 inches
280 inches

Answer:

<2 and <8 is alt interior angles, 3 and 5 are also alt interior angles, 1 and 7 are alt exterior angles, 1 and 5 are corresponding angles, 6 and 8 are vertical angles and 3 and 7 are corresponding angles

Step-by-step explanation:

The solution of the equation is x = 1 and y = 0.

We can solve this equation using the substitution method.

First, subtract 5 from both sides of the equation to isolate the x and y terms:8x - 3y = 0

3x - 2y = 0

Next, divide both sides of the first equation by 8:

x = (3/8)y

Substitute this expression for x into the second equation:

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

Simplify:

(-13/8)y = 0

Divide both sides by -13/8:

y = 0

Now, substitute y = 0 into the first equation:

8x - 3(0) = 0

Simplify:

8x = 0

Divide both sides by 8:

x = 0

Therefore, the solution of the equation is x = 1 and y = 0.

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Answer:

Mean= 23

Median= 29

Step-by-step explanation:

There are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

We know that the company uses the same ratio of different types of nuts in each container. Therefore, we can use the ratio of peanuts to the total weight in the 20-ounce container to find the weight of almonds in the 42-ounce container.

In the 20-ounce container, 11 ounces of the nuts are peanuts. Therefore, 20-11 = 9 ounces of the nuts are not peanuts.

To find the weight of almonds in the 42-ounce container, we can use the same proportion of non-peanut nuts to the total weight. So,

9 ounces / 20 ounces = x / 42 ounces

Cross-multiplying we get:

9 × 42 ounces = 20 × x

x = 37.8 ounces

So, there are 37.8 ounces of almonds in a 42-ounce container of the company's mixed nuts.

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The solution of this pair of equations is (2, 3).

To solve this pair of equations, we can use the substitution method.

First, we solve the first equation for y:

3x + 2y = 4

2y = 4 - 3x

y = (4 - 3x) / 2

Next, we substitute this expression for y in the second equation:

2x + (4 - 3x) / 2 = 5

2x + 2 - 3x = 10

-x = 8

x = -8

Finally, we substitute this value for x in the expression for y to find the value of y:

y = (4 - 3(-8)) / 2

y = (4 + 24) / 2

y = 28 / 2

y = 14

Therefore, the solution of this pair of equations is (x, y) = (-8, 14).

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The midpoint is the point that is exactly in the middle of two other points.

In geometry, the midpoint of a line segment is a point that is exactly halfway between the two endpoints of the line segment. It is the average of the coordinates of the two endpoints. The midpoint can be calculated by averaging the x-coordinates and y-coordinates of the two endpoints. The formula for the midpoint is ((x1+x2)/2, (y1+y2)/2). The midpoint is also known as the center of the line segment. It can also be useful in finding the equation of the line that passes through the two endpoints of the line segment.

The midpoint is an important concept in geometry and it can be used in different geometric shapes and figures, It can also be used to find the distance between two points, the slope of the line, and the equation of the line that passes through two points.

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Mario make total $132.1 from the tip of his two customers.

The amount of tip obtained = total bill × percentage of the bill

Put the respective values in equation depending on the customer A or B

Tip from customer A

Tip = 430.50 × 20%

Now find percentage by multiplication and division on Right Hand Side of the equation

Tip = $86.1

Tip from customer B

Tip = 184 × 25%

Again perform multiplication and division on Right Hand Side of the equation

Tip = $46

Total tip earned = 86.1 + 46

Simply add the two numbers on Right Hand Side of the equation to find the total tip earned

Total tip earned = $132.1

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Answer:

4 + 2 + q - 1 + q = 15

Step-by-step explanation:

P = 4 + 2 + q - 1 + q = 15

Answer:

  1/2

Step-by-step explanation:

You want to know the frequency of the function f(x) = 3cos(πx) -2.

For frequency f, the basic function (before vertical scaling or translation) will be written ...

  f(x) = cos(2πfx)

That is, we can find the frequency by comparing the arguments of the cosine function:

  πx = 2πfx

  f = (πx)/(2πx) = 1/2

The frequency of the function is 1/2.

__

Additional comment

You will notice in the attached graph that there is 1/2 period in 1 horizontal unit. A full period takes 2 horizontal units, so the frequency is ...

  (1 period)/(2 units) = 1/2 periods/unit.

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Answer:

3

Step-by-step explanation:

because he has 2 pants and they could get washed do he could wear the three shirts and wear the same pants again.

Answer:

169.12

Step-by-step explanation:

I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps

On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.

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The difference between the two polynomials (9x²+8x) - (2x²+3x) is:

7x² + 5x.

Polynomial:

A polynomial is a type of algebraic expression where the exponents of all variables must be integers. The exponent of each polynomial variable must be a non-negative integer. A polynomial consists of a constant and a variable, but you cannot divide a polynomial by a variable.

Example: Express the polynomial 5 + 2x + x2 in standard form.

To express the above polynomial in standard form, first check the degree of the polynomial.

The degree of the given polynomial is two. Write an expression involving the degree of the polynomial.

There is a term with variable exponent less than 2, i.e.1, then write it down.

Finally, we write a term with the variable exponent 0 as the constant term.

According to the Question:

Given polynomials is:

(9x²+8x) - (2x²+3x)

First, multiply the negative sign in the second polynomial

i.e., (9x²+8x) - (2x²+3x)

= 9x²+8x - 2x²-3x

Now, evaluate those terms who have same variables

=  9x²  - 2x² +8x-3x

= 7x² + 5x

Hence, the difference between polynomials are: 7x² + 5x.

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Answer:

D. 98 ft.^2

Step-by-step explanation:

A= b*h

=13*8

=104 ft.^2

Because there is a piece missing, we know it must be under 104 ft.^2. They didn't give us enough information to find the complete area of the missing triangle, so I used the process of elimination. With the responses given and this information, we can assume that the answer is 98 ft.^2.

Answer: 70-20x = 60-15x, where x is the number of pizzas purchased.

Step-by-step explanation:

(TLDR, the solution to the given equation is that the cards will have the same amount of money left on them if both jim and clara buy two pizzas each. feel free read my explanation on how to write equations like this in the future, should you need it.)

so, we know that since jim and clara received $70 and $60 gift cards (respectively), these numbers are called constants, because their original values do not depend on anything (they are given). while these numbers may decrease with the amount of pizzas bought, their original values are fixed.

now, the price for one pizza at jim's pizza restaurant is $20, right? so if you buy 2 pizzas, it'll be $40, 3 pizzas are $60, and so on. but we can actually represent the price of the pizzas as 20x (where x is the number of purchased pizzas, and 20 is the price of one pizza), and this expression works for any number of pizzas you buy. you can also apply this to clara's restaurant, as the total price of the number of pizzas she buys is represented by 15x.

the words charges and left in this problem tells you that you're going to need to subtract from the total amount of money on the gift cards. using the expressions above, the amount of money jim has left on his card can be expressed as 70 (amount of money on the card) MINUS 20x (number of money spent on however many pizzas were bought (x)). likewise, the amount of money left on clara's card after she buys however many pizzas can be represented as 60-15x. you can then set the equations equal to each other and solve for x, which tells you how many pizzas they each need to buy to have the same number of $$ left on their cards.

70-20x = 60-15x

10=5x

2=x. hope this helped :3

Answer:

Parallelogram!

Step-by-step explanation:

Hope this helps! :3

The graph of the line y = 4x + 3 is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x + 3

When x = 0, y = 3

When x = 1, y = 4 + 3 = 7

When x = 2, y = 11

Similarly for negative x values, we get,

x = -1, y = -4 + 3 = -1

x = -2, y = -8 + 3 = -5

So on......

So we must get the following coordinates:

(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........

Thus,

The graph is shown below.

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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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Answer:

2

Step-by-step explanation:

-3+7=4

4-2=2

Answer:

2

Step-by-step explanation:

-3 is a negative number so,

-3 + 7 is 4.

Then, 4 - 2 is 2.

So the answer is 2.

Difference between coldest and hottest temperature was greater in march than July.

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.

Given,

Range of temperature in march = 32°

⇒ difference in temperature in march ΔT = 32°

Range of temperature in July = 8°

⇒ difference in temperature in July Δt  = 8°

By the above observation

ΔT > Δt .

difference in temperature in march > difference in temperature in July.

Hence, In month of march, there was greater difference between the hottest and coldest temperature than in month of July.

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Answer:

3(x+1)(x-3)

Step-by-step explanation:

Well, this isn't an equation, but we can factor it like this:

[tex]3x^2-6x-9=3(x^2-2x-3)=3(x+1)(x-3)[/tex]

Answer:

The zeros are -2.5 and 2.

Step-by-step explanation:

2x^2 +x-10 = 0

2x^2 - 4x + 5x - 10 = 0

2x(x - 2) + 5(x - 2) = 0

(2x + 5)(x - 2) = 0

2x + 5 = 0 gives x = -2.5.

x - 2 = 0 gives x = 2.

NO, A triangle has sides of lengths 8,10, and 15 is not a right triangle.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

Properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=15 a=10, b=8 substitute in above formula:

15²=10²+8²

⇒225=100+64

⇒225[tex]\neq[/tex]164

Therefore, and 8,10,15 is not right triangle.

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Answer:

11

Step-by-step explanation:

[tex] \mathcal{SOLUTION}\begin{cases} \rm \mapsto \: \dfrac{3}{4} (x + 1) + 1 = \dfrac{1}{2} (x - 2) + 5 \\ \rm \mapsto \: \dfrac{3(x + 1)}{4} + 1 = \dfrac{1(x - 2)}{2} + 5 \\ \rm \mapsto \: \dfrac{3x + 1}{4} + 1 = \dfrac{x - 2}{2} + 5 \\ \rm \mapsto \: \dfrac{3x + 1}{4} - \dfrac{x - 2}{2} = 5 - 1 \\ \rm \mapsto \: \dfrac{3x + 1 -(2 x - 4)}{4} = 4 \\ \rm \mapsto \: \dfrac{3x + 1 - 2x + 4}{4} = 4 \\ \rm \mapsto \: x + 5 = 16 \\ \rm \mapsto \: x = 16 - 5 \\ \rm \mapsto \: x = 11\end{cases}[/tex]

Answer:

From Least to Greatest

-9, 1/25, 0.25, 9/20, 11/20, 9

Step-by-step explanation:

Answer:

-9, 0.25, 9/20, 11/20, 9, 9 1/25

Step-by-step explanation:

You can convert everything in decimals or into fractions with a common denominator. Using what you have, you then put them in order.

I converted them all into decimals, getting:

-9, 0.55, 0.25, 0.45, 9, 9.04

Then I put them in order

-9, 0.25, 9/20, 11/20, 9, 9 1/25

The left shift required to translate from D to D" is 6 units and scale factor for dilation of D" from D' is 2.5.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Compare the corresponding vertex of the given figures.

It is given as,

(-5, 0) → (1, 0)

It can be concluded that the graph of D is shifted (1 - (-5)) = 6 units towards left.

The scale factor is given as,

Length of side of D" ÷ Length of side of D'

⇒ 10 ÷ 4 = 2.5

Hence, the required shift and the scale factor are obtained as 6 units and 2.5 respectively.

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Answer:

x = -2/4 = -1/2

Step-by-step explanation:

The sum of 4 times a number and 5 is 3.

Let sum = +

times = *

is means =

a number = x

So, 4x + 5 = 3.  Then we solve it !

Subtract 5 to both sides to get 4x = - 2.

Next, we divide 4 to both sides to get x = -2/4 = -1/2

Answer:

The number is -8

Step-by-step explanation:

You can set up the question as (x/4)+5 = 3

x/4 = -2

x = -8

Answer:

The quadrilateral formed is a trapezoid

Step-by-step explanation:

In this case, it is necessary to know what points A, B, C, and D.

If the points are equal to the following coordinate points

A (-2, 1)

B (2, 1)

C (3, -2)

D (-3, -2)

As shown in the image the answer would be a trapezoid.

________________________________

The figure cannot be a square, a rhombus or a rectangle since by definition these are:

A square has all sides of equal length and all its right angles.

A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.

A rectangle is a parallelogram that has all its right angles.

The figure that we obtain is neither a parallelogram nor does it have all its right angles.

Sixth grade math class can be difficult, even for students who have done well in math previously. In sixth grade you begin to learn more advanced topics such as ratios and rates.

You also work more with fractions. Sixth grade is also when you begin building the foundations of algebra, geometry, and statistics.

example

given problem in maths

- x + 8 > 6 ( isolate the term in x by subtracting 8 from both sides )

- x > - 2 ( multiply both sides by - 1 )

Remembering to reverse the inequality symbol when multiplying/dividing by a negative quantity

x < 2 ← reverse symbol

From the given list the only value less than 2 is 1, hence

x = 1 ← is the only possible solution

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Answer:

9.9375

Step-by-step explanation:

3/8[-8+16-(-2.5)]

=3/8(-8+16+2.5)

=3/8(26.5)

=9.9375