What is the least three-digit whole number that has exactly five positive factors?

Answers

Answer 1
The number 100 and that’s the only one I can think of
Answer 2

There is no three-digit whole number that has exactly five positive factors.

The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.

p⁴:

The smallest prime number greater than or equal to 10 is 11.

So, let's consider 11⁴:

11⁴ = 14641 (which is a five-digit number)

p²q:

To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.

Let's consider the product of these two primes:

11² × 13 = 1573 (a four-digit number)

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Related Questions

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?​

Answers

Answer:

they travel 115 km/h long

3. Consider the multiplication operations below and choose whether the fosuit com
be rational, Inational, or both.
Irrational
Expressions
Rational
8. VE
О
tvo. V
V3.12
о

Answers

Answer:

1st expression= rational 2nd expression= rational 3rd expression = irrational

Step-by-step explanation:

The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.

On her way to work each morning Sophia
purchases a small cup of coffee for $425
from the coffee shop

Answers

Answer:

This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good

Solve UW. how do I get the answer?

Answers

Answer:

UW = 67

Step-by-step explanation:

UW = 6x - 35

VW = 4x - 20

UV = 19

So that means

4x - 20 + 19 = 6x - 35

4x - 1 = 6x - 35

-1 = 2x - 35

34 = 2x

x = 17

6(17) - 35

102 - 35 = 67

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

19 + ( 4x - 20 ) = 6x - 35

4x - 1 = 6x - 35

2x = 34

x = 17

UW = 6(17) - 35 = 67

order these numbers in ascending order. -11, 11.8 9.42 ,10​

Answers

Answer:

-11,9.42,10,11.8

-11<9.42<10<11.8

Answer:

I think the answer is

-11, 9.24 ,10, 11.8

pls help! I need the answer quickly!

Answers

Step-by-step explanation:

The correct answer is 4 (option B)

What is a rational number between -1/5 and -2/5?

Answers

Answer:

-1/4

Step-by-step explanation:

-0.25

HW #3 review
I will give brainliest to whoever gets it right

Answers

Hi there!

The numbers you have written there are correct.

[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.

When a number is less than 0, we know that it has to be negative.

However, it cannot be more negative than -5. It cannot be -5 either.

So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.

I hope this helps!

express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!
(Also please see the picture since you might mistake x having a square as a 2x)

Answers

This is simply done by Method of Completing the Square.

3x - x²

Add and subtract half the coefficient of x and square it.

( This is done so there'd be no alterations to the quadractic Expression)

So To start

We'd like x² to be positive...(So factor out a negative).

( - 3x )

Now In this case

You see there's a Negative Outside the the bracket

Instead of adding and Subtracting squared values of half the coefficient of X... We'd Add Twice and do not subtract.

Reason: If you add outside the bracket and subtract the other inside the bracket... This will be wrong because there's a negative patiently waiting outside the bracket to Interact with the negative you subtracted to make it Positive.

See what I mean.

Let's say you added 2² and subtracted 2² in this problem

( - 3x - 2²)

If you decide to open the bracket

You'll have

+ 3x + 2²

NOW THIS IS WRONG BECAUSE WE ALTERED THIS EXPRESSION. WHERE'D 2² + 2² COME FROM?

THIS IS WHY YOU'LL ADD THE SQUARED COEFFICIENT OF X TWICE IN CASES LIKE THESE.

SO GOING BACK TO THE ORIGINAL QUESTION.

(x² - 3x )

Adding the half the coefficient of x twice and squaring them...

Coefficient of x = 3

Half of 3 = 3/2

Squaring it gives (3/2)²

NOW PROCEEDING

(3/2)² [ - 3x + (3/2)²]

If you open this bracket... (3/2)² will cancel out with (3/2)²

Meaning that we haven't altered the expression in any way

Moving On...

Applying basic factorizing principle

9/4 ( x - 3/2)².

Answer = 9/4 ( x - 3/2)² Which is in the Form m ( x - n )²

Therefore m = 9/4 and n = 3/2.

Hope This Helps

Is [tex]2 \frac{2}{3} [/tex]
a rational number​

Answers

Yes it’s a rational number.

A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack

Answers

Answer:

107 full and .103 of another

Step-by-step explanation:

6212/58 =

Which of the h values are solutions to the following equation?
h^2=0.36
Choose all answers that apply:

A: h= square root of 0.6
B: h = square root of -0.6
C: h = 0.18
D:h = -0.18
E: None of the above

Answers

Answer:

a:h=square root of 0.6

Step-by-step explanation:

thank you for your time today

Answer:

none of the above

Step-by-step explanation:

KHAN

How would you write 5x5x5x5x5x5 in exponential form

Answers

Answer:

5^6

Step-by-step explanation:

This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.

7 thousands 8hundredsx10

Answers

Answer:

78,000

Step-by-step explanation:

A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?

Answers

Answer:

28

Step-by-step explanation:

x=blue

y=white

x+y=40

30x+20y=920

30(x+y=40) ; 30x+30y=1200___[1]

30x+20y=920 ; 30x+20y=920___[2]

[1]-[2] : 30x+30y-30x-20y=1200-920

       10y=280

       y=28

painter buys 28 white gallons

What is the relationship between the 6s in 675,002 and 385,621

Answers

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

Is 0.03456 a rational number​

Answers

Answer:

Yes. It is a rational number.

help for 15 points . ill up it

Answers

Step-by-step explanation:

Let [tex]P_1(-1, -8)\:\text{and}\:P_2(-4, -9)[/tex]

The slope of the line through these two points is

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}[/tex]

So the slope-intercept form of the line passing through the two points is

[tex]y = mx + b = \frac{1}{3}x + b[/tex]

To find b, we use either point into our equation. Let's use (-1, -8):

[tex]-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}[/tex]

Therefore, the slope-intercept form of the equation for the line is

[tex]y = \dfrac{1}{3}x - \dfrac{23}{3}[/tex]

The standard form of the equation can be written as

[tex]x + 3y + 23 = 0[/tex]


Convert the following decimals into fraction . Do not reduce the fractions
0.25 =

Answers

1/4 should be correct PLS MAKE BRAINLIEST

Answer:

25/100

Step-by-step explanation:

0.25=25/100

Hope this helps! Thanks.

You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same

Answers

Answer:

you could have a 6 and then a -6

or a 3 and a -3

or 0 and 0

have 2 cards with the same number but one is negative

Step-by-step explanation:

Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?

Answers

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

-y- 3 (-3y+5) helpppppppp

Answers

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

what times we subtract the number 80 by 8​

Answers

Answer:

Question unclear

Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!

What is Matilda's number?

Answers

Answer:

11

Step-by-step explanation:

The answer will be 11

as she is thinking of prime number so

111 is not a prime number

aswell as 77 is not a prime number

11 is a prime number and is also a multiple of 11

Answer:

11

Step-by-step explanation:

Find all points on the curve x^2y^2+xy=2 where the slope of the tangent line is −1

Answers

Differentiate both sides with respect to x and solve for the derivative dy/dx :

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[x^2y^2+xy\right] = \dfrac{\mathrm d}{\mathrm dx}[2] \\\\ \dfrac{\mathrm d}{\mathrm dx}\left[x^2\right]y^2 + x^2\dfrac{\mathrm d}{\mathrm dx}\left[y^2\right] + \dfrac{\mathrm d}{\mathrm dx}\left[x\right]y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 2xy^2 + x^2(2y)\dfrac{\mathrm dy}{\mathrm dx} + y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ (2x^2y+x)\dfrac{\mathrm dy}{\mathrm dx} = -2xy^2-y \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{2xy^2+y}{2x^2y+x}[/tex]

This gives the slope of the tangent to the curve at the point (x, y).

If the slope of some tangent line is -1, then

[tex]-\dfrac{2xy^2+y}{2x^2y+x} = -1 \\\\ \dfrac{2xy^2+y}{2x^2y+x} = 1 \\\\ 2xy^2+y = 2x^2y+x \\\\ 2xy^2-2x^2y + y - x = 0 \\\\ 2xy(y-x)+y-x = 0 \\\\ (2xy+1)(y-x) = 0[/tex]

Then either

[tex]2xy+1 = 0\text{ or }y-x=0 \\\\ \implies y=-\dfrac1{2x} \text{ or }y=x[/tex]

In the first case, we'd have

[tex]x^2\left(-\dfrac1{2x}\right)^2+x\left(-\dfrac1{2x}\right) = \dfrac14-\dfrac12 = -\dfrac14\neq2[/tex]

so this case is junk.

In the second case,

[tex]x^2\times x^2+x\times x=x^4+x^2=2 \\\\ x^4+x^2-2 = (x^2-1)(x^2+2)=0[/tex]

which means either

[tex]x^2-1 = 0 \text{ or }x^2+2 = 0 \\\\ x^2 = 1 \text{ or }x^2 = - 2[/tex]

The second case here leads to non-real solutions, so we ignore it. The other case leads to [tex]x=\pm1[/tex].

Find the y-coordinates of the points with x = ±1 :

[tex]x=1 \implies y^2+y=2 \implies y=-2 \text{ or }y=1 \\\\ x=-1\implies y^2-y=2\implies y=-1\text{ or }y=2[/tex]

so the points of interest are (1, -2), (1, 1), (-1, -1), and (-1, 2).

Need help ASAP PLEASE!!!

Answers

Answer:

x=1

Step-by-step explanation:

3/2+1/2x=2x

or,3*1+1*1x/2=2x

or,4x/2=2x

or,4x-2x=2

or,x=2/2

so,x=1

Someone please help me with 13 and 14 I’m really struggling

Answers

Answer:

Step-by-step explanation:

can anyone help me out with this one?

Answers

a(n)=a1 + (n-1)d
a1=12
d=5-12=-7
a(n) = 12+(n-1)(-7)

Please help due tomorrow

Answers

the scale factor is 3. all of them are 3.

The scaled factor is 3 for all of them.

The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)

Answers

The equivalent form of the given expression is 1 /(x + y)

The given expression:

[tex]\frac{1}{x+y}[/tex]

To find:

the equivalent form of the expression:

The equivalent form of the expression can be written as follows:

[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]

For example, if x = 1 and y = 2, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]

Also, if x = 2 and y = 3, the inverse of the expression can be written as;

[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]

Thus, the equivalent form of the given expression is 1 /(x + y)

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