a) Write down the smallest positive integer, k, such that 180k is a perfect square.
180

b) Write down the smallest positive integer, k, such that
k is a perfect square.

plz help w both questions

Answers

Answer 1
Prime factorization
180 = 2^2*3^3*5*k
Smallest perfect square when k =5
:::::
k=1 is the smallest perfect square

Related Questions

Evaluate each expression
3^3

Answers

Answer:

3*2*3

Step-by-step explanation:

the answer is 27 weeeeee

PLEASE HELP:

The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross, (CIT) city income tax of 1.2% of gross, social security, and medicare. Her next monthly pay is $3,981.22. Find Jennifer's monthly gross pay.


A) $4,529.05

B) $4,551.23

C) $4,576.58

D) $4,589.08

Answers

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

Neeeeddddd helllppp nowwwwww!!!!

Answers

Answer:

the area is 670.32 but it's not in there

(Multiple choice/ brainiest will be given)
Can I please get some help with this answer?

Answers

Answer: d

Step-by-step explanation:

Help! I'm not sure how to do it

Answers

You can split it to a triangle along with a rectangle underneath.
Formula for calculating triangle:
height x base divide by 2
Firstly we will have to calculate the triangle.
0.8x1.8/2 ( since 1.8 matches the base of the triangle we are looking for) which equals to =0.72 m
Now let’s calculate the rectangle:
1.8 x 2.1 =3.78

Finally add them both together which is:
0.72+ 3.78= 4.5 m

PLEASE HELP


The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.

Answers

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

i need help please!!

Answers

Answer:

Step-by-step explanation:

do the thing times 2

Do the graph two times

-6(2x+3)=-12x-18
plz help i will give you braneset

Answers

Answer:

-6(2 x + 3) =-12 x-18 = 0 (after you simplify) :)

Step-by-step explanation:

Find the area of the shape shown below plz help

Answers

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

What is 1 1/2 divided by 2

Answers

Answer:

3/4

Step-by-step explanation:

1 1/2 can be expressed as an improper fraction 3/2

hence

1 1/2 ÷ 2

= 3/2 ÷ 2

= 3/2 x 1/2

= 3/4

f = {(x, y): y = 2x + 3} and D= {2, 4, 6} then, find Range of f​

Answers

Answer:

R= {7, 11, 15}

Step-by-step explanation:

Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range

Since the domain is also x let's replace x for 2

y=2(2)+3= 4+3=7

One of the range is 7

Replace x for 4

y=2(4)+3= 8+3= 11

One of the other range is 11

Replace x for 6

y= 2(6)+3= 12+3= 15

The last range is 15

So the range is R= {7, 11, 15}

The correct answer is 7,11 an 15 please give me brainlest let me know if it’s correct or not okay thanks bye

-10,-17, -24, -31, -38, ...
a) Common Difference:
b) Recursive Formula:
c) Explicit Formula:
d) 843

Answers

not too sure maybe A?

In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007

Answers

Answer:

Population function (Based on 2007) =  7,600 + 700n

Step-by-step explanation:

Given:

Population in 2009 = 9,000

Population in 2014 = 12,500

Computation:

Increase in population per year = [12,500 - 9,000] / 5

Increase in population per year = 700

Population in 2007 = 9,000 - [2 x 700]

Population in 2007 = 7,600

Population function (Based on 2007) =  7,600 + 700n

n = number of year

Answer:

p(t)=700t+7600

Step-by-step explanation:

Simplify the expression by combining like terms.
n + 4n - 7n - 1

Answers

Answer:

-2n-1

Step-by-step explanation:

n +4n-7n-1

-2n-1

9x3^15 can be written as 3^n. What is the value of n​

Answers

n=17
used a calculator

Answer:

so n=17

Step-by-step explanation:

9=3²

3²×3¹⁵= 3¹⁷

please mark the brainliest❤❤

PLEASE EXPLAIN (Arithmetic Sequences )

If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference

Answers

You have to subtract to get the inverse operation

Which inequality is equivalent to this one? I WILL GIVE BRAINLEIST

y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Answers

Answer:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

Which inequality is equivalent to this one?

y minus 8 less-than-or-equal-to negative 2

y minus 8 + 8 greater-than-or-equal-to negative 2 + 8

y minus 8 + 8 less-than negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Take the last option:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

remove the +2 on each side to get

y minus 8 less-than-or-equal-to negative 2

What is the measure of angle x? Show or explain how you know.

Answers

Answer:

65 degrees

Step-by-step explanation:

y is a right angle and a is 30 degrees. this means that the supplementary engle of x is 45 plus 70 which is 115. 180-115 = 65 degrees.

If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?

Answers

Answer:

5 and 8

Step-by-step explanation:

quadratic formula.

-(b)+sqrt(b)^2-4(a)(c)

^ans

divide the whole thing by 2(a).

If the formula isn't clear, search quadratic formula up.

Mrs. Merritt, has 75% of her $300 dollar goal, how much money does she have?

Answers

Answer:

She has 225 dollars

Step-by-step explanation:

75% of her $300

Change the percent to decimal form

.75 * 300

225

She has 225 dollars

if a gradient is 0, then what is the equation for it?​

Answers

Answer:

y = c

Step-by-step explanation:

A line with a gradient of 0 is a horizontal line, parallel to the x- axis

Its equation is y = c

where c is the value of the y- coordinates the line passes through.

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.

Answers

Answer:

$3573. 64

Step-by-step explanation:

Convert 11.25% to the decimal fraction 0.1125.  Then subtract this result from 1.0000:  0.8875.

After 14 years, the formerly $19000 car will have the value

$19000(0.8875)^14 = $3573. 64

PLEASEEEEEEEEEE HELPPPPPPPPPPPPp
It is in the picture.

Answers

Answer: D

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)

Answers

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Vinny took some pictures. He printed 28 of them. He has 36 left to print. How many pictures did he take?

Answers

Answer:

64 pictures

Step-by-step explanation:

36 + 28 = 64 pictures

Answer:

36+28=64

Step-by-step explanation:

that should be right

What is x in 8x - 5 = -37

Answers

Answer:

If i'm doing this correctly it is 6?

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

8x - 5 = -37

   + 5     +5  add five to both sides of the equation so you can isolate the x

8x = -32

/8        /8 then divide 8 by both sides of the equation

x = -4

and then you get ur answer

Hope this helps :)

i need help with this​

Answers

Answer:

3

Step-by-step explanation:

pls help asap

A circle is subdivided by a central angle of 90 degrees. The length of the subtended arc is 25 mm. What is the radius of the circle?

Answers

Answer:

15 .9

Step-by-step explanation:

Answer:

2250

Step-by-step explanation:

All you do is 90x25 which is 2250

pls mark brainliest

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

What is the complement of 45?

Answers

Answer:

45°

Step-by-step explanation:

If sum of two angles is 90° , then they are called complementary angles.

Complement of 45 = 90 - 45 = 45

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