SPECIAL POLYNOMIAL PRODUCTS
please write out these expressions in the pattern
1. (m-n)(m+n)
2. (z-3)(z+3)

Answer: h ≥ 60

Step-by-step explanation:

≥ means more than or equal to

to be able to ride the roller coaster their height must be more than or equal to 60.

Answer: h ≥ 60

Step-by-step explanation:

h < 60 means that the height is less than 60

h  > 60 means that the height is more than 60

h ≥ 60 means that the height is 60 or more

h ≤ 60 means that the height is 60 or less

So the answer would be h ≥ 60 because the height is at least 60 or more

Answer:

A. 61 1/4

Step-by-step explanation:

56.75+4+50=61.25 = 61 1/4

Answer:

Mean = 33.7

Median = 34.5

Mode = 34

Range = 33

After adding 26....

mean decreases by 0.7

median decreases by 0.5

mode is 34

range is 33

Step-by-step explanation:

mean = sum of all the data values/number of data values

= (18 + 19 + 20  + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7

To find median arrange the values in increasing order, find the mid value

If the number of data points is even, find the average of the mid 2 data values

Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51

Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5

The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once

Mode = 34

The range is highest - lowest = 51 - 18 = 33

After we add 26, we get the following data set arranged

18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51

we can calculate the stats using the same technique as above

We get the following values

mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33  

median = 34

mode = 34

range = 51-18 = 33

To find the decrease in mean and median subtract from the first set of values

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

Work Shown:

C = circumference = 40 inches

d = diameter

\(C = \pi*d\\\\C \approx 3.14*d\\\\40 \approx 3.14*d\\\\\frac{40}{3.14} \approx d\\\\d \approx \frac{40}{3.14}\\\\d \approx 12.73885\\\\d \approx 13\\\\\)

Be careful. Technically 12 inches is the largest diameter Tanya can use since 3.14*12 = 37.68 is under 40; while 3.14*13 = 40.82 is slightly over 40

So if I was the teacher, I would have said "round down to the nearest inch".

Answer:

w= -3.75

Step-by-step explanation:

-5(4w+12) =15

-20w -60=15

-20w=75

w=-3.75

Answer:

w= -15/4 or w= -3.75

Step-by-step explanation:

math

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Step-by-step explanation:

The answer is 83.33% as 25 divides by 35 and multiplying 100 is the answer

The Falcons had the best overall record for the season. They have a larger mean value of about 20.9 points. The mean is the best measure of center to compare in this case because it takes into account all the data points and gives an overall average of the points earned by each team throughout the season.

Answer:

The answer is 20.1

Step-by-step explanation:

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

How to determine the constant of proportionality?

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

Answer:

By $50, and because 1 =125, it would be the starter cost.

Step-by-step explanation:

Answer: y = 3x + 2

Step-by-step explanation:

\(\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\\)

Let's choose two arbitrary points on the graph.

For example, let these be points with coordinates (1, 5) and (2, 8).

Substitute the coordinates of these points into the above formula and derive the equation of a straight line.

\(\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2\)

Answer:

Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.

Step-by-step explanation:

The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.

For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.

I've enclosed an attachment for that.

Hope this helps!

Answer:

Both are correct.

Step-by-step explanation:

This is most probably a trick question because when you solve the mean and median of both you can clearly see that their answers are averages are correct, even the rounding of decimals.

Answer:

  Michael is wrong

Step-by-step explanation:

You want to know which student has misunderstood their grade computation, given the mean and median scores shown.

The mean of the test grades is their sum, divided by their number. The values shown for the mean grades are correct.

"Average" is another name for "mean." Thus the students' grade average will be the value of their mean grade, not their median grade.

Michael in incorrect in assuming that his median grade of 70% earns him a C in the class.

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Answer:

Martha has diabetes

Step-by-step explanation:

Answer:

use wolfram alpha it helps :D

Step-by-step explanation:

Answer:

wolfram alpha

Step-by-step explanation:

it helps a lot.

Answer:

X=-6 and X=0

Step-by-step explanation:

I will solve this by factoring.

Factor x(x+6)=0 into to equations: X=0 and x+6=0.

Move the 6 to the other side which will make it negative and their is nothing to do with x=0.

So the final answer is X=-6 and X=0.

Answer:

x = 0 , x = -6

Step-by-step explanation:

The equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So we can set each factor ( "x" and "x+6") equal to 0 and solve for x

Factor #1

x = 0

Factor #2

x + 6 = 0

==> subtract 6 from both sides

x = -6

We can now substitute the values of x into the original equation to check our work

x(x+6) = 0

==> plug in x = 0

0(0+6) = 0

==> simplify addition within parenthesis

0(6) = 0

==> multiply 6 and 0

0 = 0

x(x+6) = 0

==> plug in x = -6

-6(-6 + 6) = 0

==> add -6 and 6

-6(0) = 0

==> multiply -6 and 0

0 = 0

Both values of x satisfy the equation therefore the values of x are indeed -6 and 0

Learn more about the zero product property here :

https://brainly.com/question/4893812

Answer:40+120+96=256

Step-by-step explanation:sa=2lw+2lh+2wh

5*4*2=40

12*5*2=120

12*4*2=96

Answer:

it is A because

Step-by-step explanation:

In water logging condition, the soil has maximum field capacity.  The inner diameter ofa cylindrical container is 7cm and its top is of the shape of.

2 ⇒ 1

3 ⇒ 3

4 ⇒ 2

5 ⇒ 1

6 ⇒ 3

7 ⇒ 5

8 ⇒ 2

9 ⇒ 4

10 ⇒ 0

11 ⇒ 2

12 ⇒ 2

Hope my answer helps you✌️

Mark BRAINLIEST

Answer: To use the calculator: Enter the corresponding values into the boxes below and ... to and add to. i) In a quadratic equation in the form ax2 bx c 0, if.

Step-by-step explanation:

According to the information, we can infer that some coordinates of this quadratic equation are: (-2, -3), (-1, -0.75), (0, 0), (1, -0.75), and (2, -3)

To solve the quadratic equation, we need to set the equation equal to zero:

Now, we can divide both sides by -0.75 to isolate x^2:

Taking the square root of both sides, we get:

Therefore, the solution to the quadratic equation s(x) = -0.75x^2 is x = 0.

According to the previous information, we can infer that the equation s(x) = -0.75x^2 represents a downward facing parabola. Here are 5 possible coordinates on this curve:

Learn more about parabola in: https://brainly.com/question/31142122

#SPJ1

Answer: D Three squared plus four squared equals five squared.

Step-by-step explanation:

It’s restating the Pythagorean theorem. a^2+b^2= c^2. Where “a” and “b” represent the legs of the triangle that form the right angle and “c” represents the side opposite the right angle.

Notice the picture is a right triangle. (The little box in the corner represents a right angle.) the legs that make up the right angle are represented as a 3 by 3 box (3 squared) and a 4 by 4 box (4 squared). The side opposite the right angle is represented as a 5 by 5 box (5 squared)

Answer:

B. two fourths is greater than five twelfths

Step-by-step explanation:

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

Jacinta says that the product of a rational number and an irrational number is always irrational her claim is wrong.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given that Jacinta says that the product of a rational number and an irrational number is always irrational.

Her statement is incorrect because if 0 a rational number is multiplied with the π which is irrational then the result will be 0 which is rational.

Therefore, Jacinta's claim is wrong.

To know more about rational numbers follow

https://brainly.com/question/1300130

#SPJ2

Answer:

10 weeks

Step-by-step explanation:

400-150=250/25=10

Hello there! :)

-3z-z

-4z

We can always add and subtract like terms (same variables)

Hope it helps!

If you have any query, feel free to ask me! :)

~A gloomy gal

\(MagicalNature\)

Answer:

-4z

Step-by-step explanation:

-3 and -1 are like terms because they have the same variable

-3 - 1 = -4

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: x =(-12-√-432)/18=(-2-2i√ 3 )/3= -0.6667-1.1547i x =(-12+√-432)/18=(-2+2i√ 3 )/3= -0.6667+1.1547i x = 4/3 = 1.333

Step-by-step explanation: