Prove that the difference between 9th square number and 5th square number is a multiple of 8?​

Answers

Answer 1

Answer:

Step-by-step explanation:

9th square number = 81

5th square number=25

81-25=56

56 is a multiple of 8 as 8 x 7=56


Related Questions

Simplify each expression.
(a^2b^-3/a^-2b^2)2

Answers

Answer: a^8/b^10

Step-by-step explanation:in the picture

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.


Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.


p(x) =

Answers

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

Solve for x.



5x−2(x+1)=1/4 ​



Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?

Answers

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)

Please I need answer ASAP!! I’ll make you brainliest!!

Answers

Answer:b

Step-by-step explanation:

A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.

Answers

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

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A sequence is defined recursively by

a1=4

an=34an−1

What is the explicit form of this sequence?

Answers

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]

Select yes or no for each literal equation.

Answers

Answer:

No, Yes, Yes

Step-by-step explanation:

[tex]5x + 2y = 3[/tex]

2y = 3 - 5x

y = (3-5x) / 2

FALSE

[tex] \frac{w + 8}{2} = p[/tex]

2P = w + 8

w = 2P - 8

TRUE

[tex]ax + by = c[/tex]

by = c - ax

y = (c - ax) / b

TRUE

187²–87² without using mathematical table or calculator

Answers

27.400

Step-by-step explanation:

187X187 = 34.969

87X87=7.569

34.969 - 7569 = 27.400

Use the identity

(a + b)² = a ² + 2ab + b ²

Then rewrite 187² as

187² = (100 + 87)² = 100² + 2•100•87 + 87²

Subtract 87² eliminates the last term from above, so we're left with

(100² + 2•100•87 + 87²) - 87²

= 100² + 2•100•87

= 10000 + 2•8700

= 10000 + 17400

= 27400

Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?

Answers

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

Which is the correct label for a right angle in the figure? (check picture for options and figure)​

Answers

Answer:

C

Step-by-step explanation:

Hhopppppopppppppohelpppppp

Answers

Answer:

gffghjjdfdgfgjgfdgj

Step-by-step explanation:

What is the value of k?

help!!!!

Answers

Answer:

k = 10°

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km

Answers

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors

Answers

Answer:

3000000cm³

3000dm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]

Josh wrote 483 out of an expected 500 words for his essay. How would this ratio be expressed in decimal form?
A 0.034
B 0.483
С 0.966
D 4.83​

Answers

Answer:

b

Step-by-step explanation:

just trust me

What is the solution to the following equation? Please help!

Answers

Answer :

D

Step By Step Explanation :

given the drawing below what is the difference between angle D and angle B​

Answers

Answer:

given the drawing below what is the difference between angle D and angle B​

Step-by-step explanation:

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.

Answers

Answer:

look at the photo............

Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet

Answers

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?

Answers

Step-by-step explanation:

Got it. Hope this will help.

9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).

Answers

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Identify h (x) = [x] + 4

A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function

PLEASE HELP ILL MARK BRIANLIEST

Answers

Answer:

C

Step-by-step explanation:

The given function h (x) = [x] + 4 as the greatest integer function which is the correct answer would be option (B).

What is the greatest integer function?

The greatest integer function takes the greatest integer that is less than or equal to a specified value. The biggest integer less than or equal to a number x is expressed as ⌊x⌋. It will round off the input number to the nearest integer that is less than or equal to the number itself.

Mathematically, the greatest integer function ⌊x⌋ can be defined as follows:

⌊x⌋ = n, where n ≤ x < n + 1 and 'n' is an integer.

According to the given question,

The function is below as

⇒ h (x) = [x] + 4

Here ⌊x⌋ = 4, where 4 ≤ x < 4 + 1 and '4' is an integer.

The given function as the greatest integer function takes the greatest integer that is less than or equal to a value of 4.

Hence, the correct answer would be an option (B).

To learn more about the greatest integer function here:

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The highest recorded temperature in Yuma, Arizona, was about 51 degrees C and the lowest recorded temperature was about 11 degrees C
Whats the difference between the highest and lowest temperatures?

Answers

Step-by-step explanation:

Definition of temperature:

The tendency of a substance or an object to transfer heat to its surroundings.

Definition of the thermodynamic temperature:

The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water

How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?

Answers

Answer:

20 minutes

Step-by-step explanation:

If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.

I found this by dividing 40 (boxes) by 2 (min per box)

choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547

Answers

Answer:

A & C

Step-by-step explanation:

Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?​

Answers

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

What is cost?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

How to find the cost per process?

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

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I need the answer ASAP

Answers

Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.

Answers

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

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