factorise 36n(squared) divide by 25 minus 1

Answers

Answer 1

Answer:

[tex]( \frac{36n^{2} }{25} - 1) [/tex] factors to become [tex]( \frac{6}{5}n - 1)( \frac{6}{5}n + 1) [/tex]

Explanation:
The binomial [tex]( \frac{36n^{2} }{25} - 1) [/tex] is what is called a difference of two squares which can be identified by the equation being in the form (a² - b²) where both terms can be square-rooted.

Because the equation is a difference of two squares, its factors will be in the form: (a - b)(a + b).

With a² = [tex]\frac{36n^2}{25}[/tex] and b² = 1, we can find the square root of both and plug them into the above factor form.

√(36n² / 25) = 6n/5
√1 = 1

So the factors are [tex](\frac{6}{5}n -1)(\frac{6}{5}n +1)[/tex]

Related Questions

The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in the United States. Find the interquartile range for this data set. The numbers are 60 60 42 43 25 52 65 43 42 40

Answers

Final answer:

To find the IQR, the data was first sorted and then split into two halves to find Q1 (42) and Q3 (60). The IQR of the theme park ticket prices is the difference between Q3 and Q1, which is 18 dollars.

Explanation:

To find the interquartile range (IQR) of the admission price for one-day tickets to 10 theme parks in the United States, first, we need to arrange the data in ascending order: 25, 40, 42, 42, 43, 43, 52, 60, 60, 65. With the data sorted, we find the median (the middle value) to divide the data set into two halves. However, since there are an even number of observations, the median will fall between the two middle numbers. The two middle numbers are the 5th and 6th values, which are 43 and 43, so their average is also 43.

Next, we find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the first half of the data (25, 40, 42, 42, 43), which is 42. Q3 is the median of the second half of the data (43, 52, 60, 60, 65), which is 60. The IQR is then found by subtracting Q1 from Q3, which is 60 - 42 = 18.

Let j = 16. What is the value of k in the equation k = 2 × j + 4?

Answers

Hello!

You put 16 in for j

k = 2 * 16 + 4

Multiply

k = 32 + 4

Add

k = 36

The answer is 36

Hope this helps!

Substitute j with 16

That equals:
-------↓-------
k = 2 × 16 + 4

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Multiplication comes before addition

2 × 16 = 32
32 + 4 = 36

k = 36

Hope this helps :)

The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How far did they travel in the five hours? How do you know? Explain (write a prportion)

Answers

(2 * 70) + (3 * 35) = 140 + 105 = 245 miles

Find the total surface area of a triangular pyramid if the perimeter is 30 feet, the slant height is 12 and the base is 43.5ft

Answers

I think just calculate 43.5+0.5×30×12.... Hope that helpssssss:))) you should know the equation for regualar pyramid.

Michael does not want to spend more than $21.00 on a new backpack, not including tax. Select all of the following descriptions of prices for backpacks that Michael would buy.

Answers

• 20% of $25 = $5 Therefore A is $20
• 10% of $25 = $2.5 Therefore B would come to $22.5
• 1/4 of $24 = $6
• 50% of $41 = $20.5 Therefore D would be $20.5

Your answers are A, C and D

a)
20% × 25 = 5
25 - 5 = $20.00

b)
10% × 25 = 2.5
25 - 2.5 = $22.5

c)
24 ÷ 4 = $6.00

d)
41 × 50% = 20.5
41 - 20.5 = $20.5

A, C, and D are all prices for backpacks that Michael would buy.

please I need help and I dont get it..

Answers

For the last question

40*3=120 total cakes
120*.15=18 chocolate cakes

Which choice shows a correct way to solve 8•13?

Answers

Answer:

Step-by-step explanation:

8 x(10+3)

Which expressions result in a rational number?

Answers

The ones that give a rational number answer are:
C+D
A*B
C*D
A*A

A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3

Final answer:

Rational numbers are those that can be expressed as a fraction of two integers. Examples of expressions that result in rational numbers include simple calculations or operations that result in whole numbers or decimal numbers that can be written as a fraction.

Explanation:

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator not being zero. If an expression results in such a number, then it is considered a rational number.

Let's consider some examples from the given information:

106 (6-3): This equates to 10^3 which will result in the number 1000, a rational number as it can be expressed as 1000/1. 4.5 × 10⁹: The result of this multiplication also gives a rational number as it can be written in a fraction form. 0.3333: This number is also rational as we can write it as 3333/10000. 0.6: This can be written as 6/10 or 3/5, so it's also a rational number.

However, numbers resulting from certain trigonometric functions like sine and cosine, logarithms, or exponential functions may not always be rational. These functions require pure numbers as inputs and outputs.

Learn more about Rational Numbers here:

https://brainly.com/question/24398433

#SPJ3

a right triangle has a legs measuring 16 in and 28 in
What is the length of the hypotenuse?
Round your answer to the nearest tenth.
a. 23.0 in.
b. 32.2 in.
c. 44.0 in.
d. 1040.0 in.
URGENT
WILL MARK BRAINLEIST

Answers

Hoi!

To solve this, let's use apply the Pythagorean Theorem.

Formula: [tex]a^2 + b^2 = c^2[/tex]

For a and b, we would plug in the values for the two known legs.

[tex]16^2 + 28^2 = c^2[/tex]

[tex]16^2 = 256 28^2 = 784 256 + 784 = 1,040[/tex]

Now we take the square root of 1,040

[tex] \sqrt{1,040} = 32.2[/tex]

Your answer is 32.2 :)

Please need help on this

Answers

stock price decrease A and D Increase:B E remained the same c
you are u on online school y

rate 5 stars plz

Hi,
The letter E would be for stock increasing
Letter D for Stock decreasing
and Letter C for it remaining constant

Hope this helped!!

Lizzie played tennis for 2 2/3 hours. Andrew played tennis for 1 1/3 hours. How much longer did Lizzie play tennis than Andrew?

Answers

Andrew played for 1 hour and 20 minutes
Lizzie played for 2 hours and 40 minutes
Andrew played for half as long as Lizzie did, so Lizzie played for 1 1/3 hours longer than Andrew did. Hope this helps!

You have to subtract Andrew's playing time from Lizzie's:

[tex]2 \frac{2}{3} -1 \frac{1}{3} [/tex]

For simpler subtraction, we can convert the mixed numbers into improper fractions:

[tex]\frac{8}{3} -\frac{4}{3} = \frac{4}{3}= 1\frac{1}{3} [/tex]

Lizzie played tennis [tex]1\frac{1}{3}[/tex] hours, or 1 hour and 20 minutes, longer than Andrew.

roselia build a cabinet in the shape of a rectangular prism.The cabinet was 30 inches wide, 4 feet tall,and 18 inches deep. What is the Valume of the cabinet in cubic feet

Answers

Vol. of a rect. prism is V = L*W*H.

Here, that vol. is V = (2.5 ft)(1.5 ft)(4 ft) = 15 cubic feet (answer)

Note: volume (not valume).

The cabinet's volume is 15 cubic feet.

The student is asking how to calculate the volume of a cabinet in the shape of a rectangular prism. The cabinet dimensions provided are 30 inches wide, 4 feet (48 inches) tall, and 18 inches deep. To find the volume in cubic feet, we first need to ensure all dimensions are in the same units, so we convert inches to feet by dividing by 12.

Thus, the cabinet dimensions in feet are 2.5 feet wide (30 inches / 12), 4 feet tall, and 1.5 feet deep (18 inches / 12).

The formula to calculate volume is length x width x height:

Volume = width x height x depth

Volume = 2.5 ft x 4 ft x 1.5 ft

Volume = 15 cubic feet

Therefore, the volume of Roselia's cabinet is 15 cubic feet.

A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet?
Question 8 options:

bike = $200 and helmet = $40

bike = $160 and helmet = $80

bike = $120 and helmet = $60

bike = $100 and helmet = $90

Answers

the answer is the second choice

Need help on this please

Answers

The answer to this question is D. I hope this helps

Just subtract the new value by the original. 407.13 - 356.72 = 50.41

So "C"

the quotient of 7.3 divided by -7.3

Answers

Answer:

-1

Step-by-step explanation:

7.3

------ = -1

-7.3

A square has a perimeter of 760 feet, what is the length of each side?

Answers

It’s a square:

-4 sides
- All sides are equal

760/4=

190.

Each side has a length of 190 feet

Each side has a length of 190 feet!!

Hope this helps :D!!

40% of the flowers in the garden are roses the rest of the flowers are daiseis if 8 flowers are roses how many flowers are there altoghether draw a model to justify your anwser

Answers

Draw a rectangle, shade in 40%, that's roses, the other 60% are daisies.
2/5 of the garden is 8 roses, 1/5 of the garden is 4 flowers, 3/5 is 12 flowers, so if 2/5 is 8 roses, 3/5 is 12 daisies.
8+12=20
There are 20 flowers in total.

Simplify the expression insert

Answers

First, we are going to perform the division of the fraction inside the radical:
[tex] \frac{96}{8} =12[/tex]
So, we can rewrite our radical as follows:
[tex] \sqrt{ \frac{96}{8}} = \sqrt{12} [/tex]

Now, we are going to decompose 12 into prime factors:
[tex]12=2^2*3[/tex]
So, we can rewrite our fraction as follows:
[tex] \sqrt{12} = \sqrt{2^2*3} [/tex]

Since 2 has the same exponent as the index of the radical, we can take it out:
[tex]\sqrt{2^2*3}=2 \sqrt{3} [/tex]

We can conclude that the simplified form of the expression is: [tex]2 \sqrt{3}[/tex]

SOMEONE HELP ME OUT PLEASE WILL MARK BRAINLIEST

Answers

see attached picture:

g={(-9,6),(-6,4),(2,-6),(6,-5)}
h(x)=3x-4
find the following
g^-1(-6)=
h^-1(x)=
(h^-1·h)(3)=

Answers

a) The ordered pair with -6 as the dependent value is (2, -6).
g^-1(-6) = 2

b) Swap x and y and solve for y.
x = 3y -4
x +4 = 3y
(x +4)/3 = y
Then the inverse function can be written as
h^-1(x) = (x +4)/3

c) You have shown the product of h^-1(x) and h(x). We have to assume that is what you intend.
h^-1(3) = (3 +4)/3 = 7/3
h(3) = 3×3 -4 = 5
(h^-1·h)(3) = h^-1(3)·h(3) = (7/3)·5
(h^-1·h)(3) = 35/3

If you intend (h^-1◦h)(3), that value is 3.

if sec theta equals negative 5/3, such that 180° <thata<270° then determine what is tan theta ?

Answers

I hope this makes sense, if not please feel free to let me know and I'll explain it.

Which angle in the image corresponds to ∠X in the pre-image?

∠L

∠M

∠N

Answers

Hoi!

The angle that corresponds to angle X would be the angle on the opposite figure that is in the same position as angle X.

Your answer is Angle L.

True or false;
If two planes cross one another, then their intersection is two lines.

Answers

if they intersect eachother then the answer is true

Hey There!

The answer would be true, because if your planes are not parallel, they're eventually going to meet and intersect.

Hope this helps!

will give crown to best answer!!!!!!

\Which of these pairs of points defines a line with a slope of -1?

A. (3, 10) and (3, 5) B. (3, 10) and (5, 3) C. (10, 3) and (15, -2) D. (10, 3) and (3, 5)

Answers

The pair of points defines a line with a slope of -1 is C. (10,3) and (15,-2)

Answer:

Step-by-step explanation:

Bella is making button barrettes. She allows each of her friends to reach into her bag of buttons and randomly select a color. Then she replaces it with the same color button and shakes the bag before letting another friend pick a color. Bella’s bag of buttons contains the colors below. Which model shows the probability of randomly selecting each color button from her bag?

Answers

Answer: Pink 12 %, Orange 40%, Green 28%, Blue 20%

Step-by-step explanation:

Given, Total number of,

Pink button = 300

Green button = 700

Orange button = 1000

Blue button = 500

Thus, total button = 300 + 700 + 1000 + 500 = 2500

Now, the probability of getting pink button = [tex]\frac{300_C_1}{2500_C_1} = \frac{300}{2500} = 0.12=12\%[/tex]

The probability of getting green button = [tex]\frac{700_C_1}{2500_C_1} = \frac{700}{2500} = 0.28=28\%[/tex]

The probability of getting orange button = [tex]\frac{300_C_1}{2500_C_1} = \frac{1000}{2500} = 0.40=40\%[/tex]

The probability of getting blue button = [tex]\frac{300_C_1}{2500_C_1} = \frac{500}{2500} = 0.20=20\%[/tex]

⇒ Third Option is correct.

Answer:

the third one

Step-by-step explanation:

i got 100

You are reading a book with 120 pages if you want to read the same number of pages each night how many would you have to read each night to finish in 10 days

Answers

Divide the pages in the book by the amount of days to figure out the number of pages to read each night.

[tex]120 / 10 = 12[/tex]

If you want to read the same number of pages each night for 10 days, you will read 12 pages every night.

The answer is 12
If you wanted to finish an 120 paged book in 10 days you would have to read 12 pages. You can ether divided 10/12 and you confirm your answer by 10•12.

What is 50,935 divided by 5?

Answers

50935 divided 5 = 10,187

50935 divided by 5 is 10187

Can you please answer for 30 points Thanks

Answers

You know that ∠1 + ∠2 = 90° because they are crossing the vertex of a square.
Find m∠2.

90 - 72 = 18
m∠2 = 18°

Now ∠2 + ∠3 must equal 180° because they are on a straight line.
Subtract 18 from 180.
180 - 18 = 162

m∠3 = 162°

Answer:

Step-by-step explanation:

To find angle 3, we need to first find angle 2.

-It is given that it's a square. The full angle is 90°. Angle 2 would be 90-72, which is 18°.

Now that we have angle 2, we can find angle 3 because angle 2 and 3 are linear pairs.

180°-18°

162°

m<3=162°

Jaden buys a raffle ticket. Each ticket has a 1% chance of being drawn. How likely is it that Jaden's ticket will be drawn? It definitely will be drawn.

It likely won't be drawn.

It likely will be drawn.

It definitely won't be drawn.

Answers

When Jaden bought the raffle ticket, he has a 1% chance of winning, which means that even if the chance is small, it's still there.

Your answer would be

It likely won't be drawn.

The answer is - It likely won't be drawn. The likelihood of Jaden's ticket being drawn is 1%, so it is unlikely that his ticket will be selected.

The likelihood that Jaden's ticket will be drawn depends on the probability of his ticket being selected. In this case, each ticket has a 1% chance of being drawn, which means there is a 1 in 100 chance that Jaden's ticket will be selected. Therefore, it is likely that Jaden's ticket won't be drawn.

Jaden's raffle ticket has a 1% chance of being drawn, making it much more likely that it won't be drawn than it will. The concept of 'being due to win' is a common fallacy as each draw is an independent event with a constant probability.

(08.02)Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3

Answers

The solution to the pair of equations is x = 3

To figure this out simply set the equations equal to each like this 2x - 3 = -x + 6
this works because if both of the equations are equal to y then you can simply substitute one them in for y and solve.

To check substitute 3 into the new equation and solve:
2(3) - 3 = -3 + 6
6 - 3 = -3 + 6
3 = 3

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