Two day **growth factor** for the **height of the sun flower** is **1.1449**

Take the **current number** and subtract it from the prior value to determine the **growth rate**. The growth rate is then expressed as a **percentage by multiplying the difference** by the **previous number** and **dividing by 100**.

A height increases by 7% per day

So the growth factor for height of sun flower is 107/100 =1.07

For 2.7 days - 12 inch

3.74 days increase by 7% by day

⇒ 12 + 7/100 x 12

⇒ 12 ( 107/100 )

⇒ 12.84 inches

3.74 days 12.84 inches

4.74 days increase by 7 % by day

⇒ 12.84 + 7/100 x 12.84

⇒ 12.84 x 107/100

⇒ 13.73 inches

Two days growth factor

⇒ 107/100 x 100/107

⇒ 1.1449

Hence Two day **growth factor** for the **height of the sun flower** is **1.1449**

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the positive difference between the product of 78 and 36 and their sum is

**Answer:**

**2694**

**Step-by-step explanation:**

**product of 78 and 36=78*36=2808**

**sum =78+36=114**

**difference between them =2808-114=2694**

find two positive integers whose product is 24,999,999 and whose positive difference is as small as possible. explain how you discovered them

**Answer:**

5001 and 4999

**Step-by-step explanation:**

25,000,000 is the square of 5,000 and 24,999,999 is one less than it. Notice that the situation resembles the expression [tex]x^2-1[/tex] in which x would be 5,000.

[tex]x^2-1[/tex] can be factored into [tex](x+1)(x-1)[/tex], and substituting x with 5000 yields: [tex](5000+1)(5000-1)[/tex]. This can also be written as [tex](5001)(4999)[/tex]. Therefore, the integers would be 5001 and 4999.

Help me with this rq, I’ll mark you brainlyiest

**Answer: Hi this is neither.**

When constructing a confidence interval for the population mean using the standard deviation of the sample, the degrees of freedom for the t distribution equals.

The t distribution's degrees of freedom are equal to n - 1 by **standard deviation.**

**What does math standard deviation mean?**

The degrees of freedom for the t distribution when creating a confidence interval for the population mean using the sample's standard deviation equals n - 1.

Degrees of freedom = n - 1

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What number does T2,580 represent WHEN T = 1?

Looking for right Answer

If T = 1, then the **number** T2580 represents 2580 as the **right answer**. This is the basic rules of linear equation.

The first order of equations are **linear equations**. For lines in the coordinate system, **linear equations **are defined. It is referred to as a **linear equation **in one variable when the equation contains a homogeneous variable of degree 1 (i.e., only one variable).

There may be multiple variables in a **linear equation**. **Linear equations **in two variables, and so forth, are what the equation is known as if it contains two variables. 2x-3=0, 2y=8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are a few examples of linear equations.

The three forms of **linear equations **are

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Darell and edmond are training for a marathon. darell runs 4 kilometers at a time while edmond prefers to run in blocks of 8 kilometers. at the end of a month, they realize that they have run same total number of kilometers. what is the smallest number of kilometers that each must have run?

We are trying to find the *Least Common Multiple*. This is a number that both 4 and 8 can be multiplied by a whole number to achieve, more specifically, the minimum of that list of numbers. This one is really simple. Since 8 is a multiple of 4 (4 x 2 = 8), the LCM is 8! (8 is also a multiple of 8 because 8 x 1 = 8).

**So the answer is 8.**

There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars how many nickels dimes and quarters are there each

There are two more quarters than **dimes** and as many **nickels** as dimes and quarters together. **The total amount of money** is 3. 75 dollars, then nickels dimes and quarters are there each,** **D =7 dimes , Q = 9 quarters, and N = 16 nickels

** **

tart by defining the variables for this problem :

Q : number of quarters

D : number of dimes

N : number of nickels

There are two more quarters than dimes so the equation :

Q = D+2

And as many nickels, as quarters and dimes together so the equation :

N = Q+ D

The total amount of money is $3.75 so the equation :

0.25Q + 0.10D + 0.05N =3.75

Solve the following system :

Q = D + 2 (I)

N = Q + D (II)

0.25Q + 0.10D + 0.05N =3.75(III)

In the equation (II) find Q in terms of N and D :

N = Q + D (II)

Q = N - D (IV)

If use (I) in (IV) :

Q = N - D

D + 2 = N - D

2D = N - 2

N = 2D + 2 (V)

If use (I) and (V) in (III)

0.25Q + 0.10D + 0.05N =3.75

(0.25) . (D + 2) + 0.10D + (0.05) . (2D + 2) = 3.75

0.25D +0.50 + 0.10D + 0.1D + 0.1 = 3.75

0.45D = 3.75

D = 3.75/ 0.45

D = 7

if D = 7 -----------replacing in (I)

Q = D + 2

Q = 7 + 2

Q = 9

If replace this values in (II)

N = Q + D

N = 9 + 7

N = 16

there are** D =7 dimes,**

** Q = 9 quarters **

** N = 16 nickels**

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PLEASE HELP MEEEE!! ILL GIVE BRIANLIEST!!

**Unit rate **for the given **expression **625 ft² in 2/3 hours is equal to

**975ft² /hour.**

As given in the question,

Given **expression :**

650 ft² in 2/3 hours

**Unit rate **for the given expression** **625 ft² in 2/3 hours is equal to

In 2 /3 hours = 650 ft²

Simplify the given expression for the unit rate

1 hour = 650 / 2 / 3 ft² / hour

Multiply 650 to 3 and divide it by 2 we get,

1 hour = ( 650× 3 ) / 2 ft² / hour

⇒ 1 hour = 1950 / 2 ft² / hour

⇒ 1 hour = 975 ft²/hour

Therefore, **unit rate **for the given expression 625 ft² in 2/3 hours is equal to 975ft² /hour.

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Nicole is selling wing plates to fundraise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?

**Answer:**

M = 7p - 147

**Step-by-step explanation:**

Nicole is selling wing plates to fund raise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?

profit - sales - cost of goods sold

where p = number of plates sold

**M = 7p - 147**

I need help with this practice problem. *Make sure to answer (a) and (b), as they are questions included in the problem*

The answers to both the subparts using** **the **binomial theorem** are shown:

**Probability:**

(A) Summation notations:

(3x⁵ - 1/9y³)⁴= e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion:

(3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²Therefore, the answers to both the subparts using** **the **binomial theorem** are shown:

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Please help i’ve been stuck on this question for a too long!!

Graph the function with the given description.

A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable

decreases. The value of the function at 0 is 3.

The **linear function **equation exists the **slope-intercept form**. A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].

A linear equation is an **algebraic equation** of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The **variables **in the preceding equation are y and x, and it is occasionally referred to as a "**linear equation** of two variables."

Let the **independent variable **be x.

The value of the function at 0 is 3.

If h(0) = 3

When the independent variable **decreases **by 5, the independent variable increases by 1.

So, the slope (m) exists -1/5.

Where, m = -1/5 the slope

b = 3 - the **y-intercept**

A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].

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what would happen if you divide 8/5 instead of 4/5

**Answer:**

The value would double

**Step-by-step explanation:**

4/5 is half of 8/5

**Answer:**

4/5 is half of 8/5 so it got doubled

LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml

c:w

1:2

25:50

50ml of water should be added

1:2

25:50

50ml of water should be added

Fine the average rate of change for f(x) on the interval [-1,3]

For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)

For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:

step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375

step 2 - (37.5)/4

step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)

9.31x5.8 it seems like it needs factors and decimals and a explanation

**Answer:**

53.998x

**Step-by-step explanation:**

9.31x · 5.8

9.31 · 5.8x

=53.999x

10. (a) Find the value of 5°

**5 is in hundreds place and its place value is 500, 4 is in tens place and its place value is 40, 8 is in ones place and its place value is 8.**

I hope this helps :)

Reflection across x=-2

After **reflection** across the line x = -2, point L(-6,2), M(-6,0), K(-1,3) and J(3,0) becomes L'(1,2), M'(1,0), K'(-3,3) and J'(-1,0)

The line x = -2 will be parallel to y-axis. Let us say that there is a general point A(a,b). If this point is reflected across the line x = -2 then the y coordinates should remain same for the reflected point but x coordinate will change.

The new** x coordinate** will be **parallelly opposite **to the initial point and also at the **same distance** from the line as the initial point

From the Figure, we can see,

The coordinates of,

The point L is (-6,2),

The point M is (-6,0),

The point K is (-1,3) and,

The point J is (3,0).

After reflection across the line x = -2, the **coordinates** of,

The point L' is (1,2),

The point M' is (1,0),

The point K' is (-3,3),

The point J' is (-1,0)

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de

Identify the Base and Height of Triangles

A formula for calculating the area of a triangle is A=bh, where b is the length of the

or length of an altitude, of the triangle.

Identify the base and sketch in the height on each type of triangle.

Right triangle

and his the

Acute triangle

Obtuse triangle

A formula for calculating the area of a **triangle **is A=1/2(b*h), where b is the length of the base and h is the height of or length of the altitude, of the **triangle**.

Identify the base and sketch in the height on each type of **triangle**.

**right triangle** - One of the sides that touches the 90-degree angle constitutes the foundation of a right **triangle**.

The height of a **triangle **is measured from its base to its highest point, and in a right **triangle**, that height can be determined from the side that forms a right angle to the base.

**acute triangle **- Three sides and three vertices make up the fundamental polygon known as the **triangle**. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the **triangle **is said to be acute.

**obtuse triangle** - In an obtuse **triangle**, the height or altitude from the acute angles is outside the **triangle**. To find the height of the obtuse **triangle**, we extend the base as illustrated.

what is a **triangle**?

Three edges and three vertices make up a **triangle**, which is a polygon. It is among the fundamental shapes in geometry. **Triangle** ABC refers to a **triangle **with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct **triangle **and a distinct plane at the same time.

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Find AX. A(-4, 5), X(1, −2)

The **distance **of AX, A(-4, 5), X(1, -2) is 8.6

The **distance formula** is used to find the distance (shortest path) between two points.

The distance formula is

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\d = \sqrt{(-4 - 1)^{2} + (5 - (-2))^{2} } \\d = \sqrt{(-5)^{2} + (7)^{2} } \\d = \sqrt{25 + 49}\\ d = \sqrt{74}[/tex]

d = 8.6

Therefore, the distance of **AX, A(-4, 5), X(1, -2) is 8.6**

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Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.

The most appropriate choice for **histogram** will be given by-

a) Team tigers has taller players than team panthers

Team panthers has shorter players than team tigers.

b) team tigers have height that vary more.

c) So team panthers have more players about the same height.

**What is histogram?**

**Histogram** is a type of **bar graph** which makes use of the** range** of **classes** in the** horizontal x axis** and the** frequency** of **classes** in the **vertical y axis.**

Here,

a) The bars in the histogram of team tigers are relatively taller than the bars in the histogram of team panthers. So, team tigers has taller players than team panthers.

The bars in the histogram of team panthers are relatively shorter than the bars in the histogram of team tigers. So, team panthers has shorter players than team tigers.

b) For team tigers, there are no players between 66-69 inches height and, two players between 69-72 inches height and five players between 72-75 inches height. So fluctuations between the heights of two consecutive bars for team tigers is more.

For team panthers, it can be seen that the fluctuation between the heights of heights of two consecutive bars is not that much.

So team tigers have height that vary more.

c) In team panthers, there are one player in 63-66 inches and 69-72 inches, three players in 66-69 inches and 75-78 inches and two players between 72-75 inches and 78-81 inches. So team panthers have more players about the same height.

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**Complete Question**

The diagram has been attached here

a)Which team has taller players? Which has shorter players? Explain your thinking.

b)Which team has heights that vary more? Explain your thinking.

c)Which team has more players that are about the same height?

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an electrician earns $18.per hour. how will he earn for a job that from 11:30 a.m. to 2:00 p.m.?

**Answer: $63**

**Step-by-step explanation:**

If the electrician gains $18 an hour and works for 3 and a half hours, once you add the money for the total time up you will get $63.

$9 (for the 30 minutes) + $18 x 3 (for the 12-2 full working hours).

Hope this helps^^

[7th Grader]

need help 9th grade math

The **slope-intercept** form for this linear function is y = 8x + 47.

Mathematically, the **slope** of a straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the linear function, we have:

Points on x-axis = (-3, 2).

Points on y-axis = (23, -17).

Substituting the given points into the formula, we have;

Slope, m = (-17 - 23)/(2 + 3)

Slope, m = -40/5

**Slope**, m = -8

Mathematically, the **slope-intercept** form of a straight line is given by;

y = mx + c

Where:

x and y are the points.m represents theAt point (-3, 23), we have:

y = mx + c

23 = 8(-3) + c

23 = -24 + c

c = 23 + 24

c = 47

Therefore, the **slope-intercept** form is as follows:

y = mx + c

y = 8x + 47

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Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has, which expression represents the number of marbles that Conrad has?

6r

r – 6

6 – r

r + 6

r + 6 **expression** represents the number of marbles that Conrad has.

**Algebraic expression**

An **algebraic expression** in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

For example, 3x² − 2xy + c is an algebraic expression.

Given that Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has.

Number of marbles Rory has = r

Therefore number of marbles Conrad has = r + 6

r + 6 **expression** represents the number of marbles that Conrad has.

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Please help ASAP!! This is overdue!

The **equation** of each line is labelled as shown in the image attached below, where:

y = 2x + 7 is line b

x + 5y = 10 is line d.

x + y = -9 is line f.

y = x is line c.

x = -5 is line a.

y = -5 is line e.

What is the Equation of a Line?The **equation** of a line can be rewritten as y = mx + b, if the line has a slope of m and a y-intercept of b.

For vertical lines, the **equation** is written as x = b, where b is where the line cuts across the x-axis.

For horizontal lines, the equation is written as y = b, where b is the point on the y-axis the line intercepts.

The **equation **y = 2x + 7 is a line that has a slope of 2 and a y-intercept of 7. This line is labelled as line b in the image below.

x + 5y = 10 is rewritten as y = -1/5x + 2. The slope is 1/5 and the y-intercept is 2. This **equation** is labelled as line d.

x + y = -9 is rewritten as y = -x - 9. The slope is -1 and the y-intercept is -9. It is represented by the line labelled line f.

y = x has a slope of 1 and passes through the origin, (0, 0). It is labelled as line c.

x = -5 is the vertical line that is labelled as line a.

y = -5 is the horizontal line that is labeled as line e.

See image below.

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Brandon takes 1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hours will it take Brandon to complete the book?

**Answer:**

**Step-by-step explanation:**

1/4 of 24 hours = 0.25 × 24 = 6 hours

so:

Brandon takes 6 hours to read 1/3 of his book. To read the full book, going at the same reading rate:

6 × 3 = 18

**It takes Brandon 18 hours to read the book. **

a fruit basket contains 5 apples, 6 oranges, and 3 peaches. if 3 fruit are selected and consumed, then compute the chance that all 3 fruits are not apples. write the answer as a decimal number rounded to third place value. group of answer choices

All three **fruits are not apples** is **0.027**

**Probability sampling** is the process of selecting a sample from a population when the **selection is based** on the **randomization principle**, often known as chance or **random selection**.

P (X) = n/N

Given :

A fruit basket contains 5 apples

oranges=6

peaches=3

To find :

compute the chance that all 3 fruits are not apples ?

Solution :

P(all 3 are apples) =(5x4x3)/(14x13x12)

⇒ 60/ 2184

⇒ 0.027

the chance that **all 3 fruits are not apples** is **0.027**

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1 point

It took me 120 minutes to answer 25 questions. How long did each question take? type your answer...

Previous

minutes

It took me 120 minutes to answer 25 questions. How long did each question take?

120/25 = **4.8 minutes per question **

1 point lol but the answer is 4.8 minutes

Solve 7x 8 = 3x

x = …

please

X is either -2 or positive 2

x=-2 or x=2

x=-2 or x=2

im so bad at things like this pls help

**Answer:**

Part A: **C.** 3c - 2 = c + 22

Part B: The cat weighs **12** pounds, and the dog weighs **34** pounds.

**Step-by-step explanation:**

Create a system of equations:

d = 3c - 2, d = 22 + c

And substitute to get the answer to part A:

**22 + c = 3c - 2**

If you solve the system, you get **d = 34** and **c = 12** as the answer to part B.

The cat weighs 12 pounds, and the dog weighs 34 pounds.

**Answer: The weight of the dog is 34 pounds and The weight of the cat is 12 pounds The answer should be B I think that's the answer**

**Step-by-step explanation:**

Select equivalent or not equivalent for each pair of expressions

**Equivalent **or not equivalent result for each pair of given **expressions** are as follow:

a.5x-7+3x and 3x-7 +5x is **equivalent.**

b. 4y +9 +3y and 3y + 9 + 4y is **equivalent.**

c. 6z -2z +4 and 4 +2z-6z is **not equivalent.**

As given in the question,

Each pair of given **expressions** are **equivalent** or not equivalent :

a. 5x-7+3x and 3x-7 +5x

5x-7+3x

=(5x +3x) -7

= 8x -7

3x-7 +5x

= (3x +5x) -7

= 8x -7

This pair is equivalent.

b. 4y +9 +3y and 3y + 9 + 4y

4y +9 +3y

=(4y+3y)+9

= 7y +9

3y + 9 + 4y

=(3y +4y) +9

= 7y +9

This pair is equivalent.

c. 6z -2z +4 and 4 +2z-6z

6z -2z +4

=4z + 4

4 +2z-6z

= 4 -4z

This pair is not equivalent.

Therefore, **equivalent **or not equivalent result for each pair of given expressions are as follow:

a.5x-7+3x and 3x-7 +5x is equivalent.

b. 4y +9 +3y and 3y + 9 + 4y is equivalent.

c. 6z -2z +4 and 4 +2z-6z is not equivalent.

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