What is the smallest number, which is neither prime nor a square and that has no prime factor smaller than 100?

Answers

Answer 1

Answer:

10403.

Step-by-step explanation:

To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.

After multiplying 101 by 103, we get 10403.

To check our answer, we can verify each point.

10403 is not prime, as it has 2 factors, 101 and 103.

10403 is not square, as the square root of 10403 is 101.9951.

10403 has 2 factors 101 and 103, both of which are greater than 100.


Related Questions

Please help me.

List the sides of MNP in ascending order:
m< M = 15, m < N= 75

Answers

Answer:

Take a look at this: https://brainly.com/question/14269575?referrer=searchResults

Step-by-step explanation:

428363939+42724289292952926263938

Answers

Answer:

4.2724289e

+22

Step-by-step explanation:

mzmznznxnxnznxn no n n j j h h h h h h hh h h &

answer: 4.2724289e+22

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). Find the coordinates of the other endpoint.

A. (20, -6)
B. (-1, 0)
C. (-1, -6)
D. (20, 0)

Answers

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

What is the midpoint of the line?

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

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What is the equation of the graph

Answers

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

2. Standard 6.NS.B
Hot dogs come in packages of 10. Hot dog buns come in packages of 8. Elliott would
like to buy the smallest number of hot dog buns and hot dogs so that he will have
exactly one hot dog per bun.
Part A
How many packages of buns and hot dogs must he buy? Show your work and explain
your thinking.

Answers

Answer:

4 packages of hot dogs and 5 packages of hot dog buns.

Step-by-step explanation:

Find the least common multiple of 10 and 8, which is 40.

Please help me with this problem.

Answers

Answer:

1/4a -1/6b + 1/10c

Step-by-step explanation:

1/2 a  -1/3 b + 1/5c   + -1/4a + 1/6 b - 1/10c

Combine like terms

1/2a - 1/4a   -1/3b + 1/6b    +1/5c - 1/10 c

2/4a -1/4a    -2/6b + 1/6b   +2/10c -1/10c

1/4a -1/6b + 1/10c

1/2a-1/3b+1/5c+(-1/4a)+1/6b-1/10c1/2a-1/4a-1/3b+1/6b+1/5c-1/10c2-1/4a-2+1/6b+2+2-1/10c1/4a-1/6b+1/10c

Let $x$ be the smallest number in the following list, and let $y$ be the second smallest number (that is, the smallest number other than $x$). \[ 5, \qquad -22, \qquad \frac{-4}{7}, \qquad \frac{-3}{-5}, \qquad 3, \qquad \frac{-8}{13} \]Find $\frac{x-y}{y}$. Express your answer as a fraction in simplest form.

Answers

Answer:

139/4

Step-by-step explanation:

and find that\[

\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}

\]\[

\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.

\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}

\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\

&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\boxed{\frac{139}{4}}.

\end{align*}

1 pump can fill a pool in 8 hours the other pump can fill the pool in 10 hours if both of the pumps were turned on at the same time to fill the pool how long will it take

Answers

Answer:

4 4/9 hours

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

1/8 + 1/10 = 5/40 + 4/40 = 9/40 of the tank in one hour

Time required to fill the tank:

1/(9/40) = 40/9 = 4 4/9 hours

a^4+b^4 phân tích thành nhân tử

Answers

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

Must click thanks and mark brainliest

As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.

Answers

Answer:

The answer is 21.43731

Solve the system using the linear combination method.


first equation. 5 x plus y equals 5 second equation. 10 x plus 3 y equals 20

Answers

Answer:

y = 10 , x= -3

Note: I have never hears this called "combination method"

if you research this on-line it is typically called the "elimination" or the  "addition" method.

Step-by-step explanation:

5x + y = 5

10x + 3y = 20

~~~~~~~~~~~~~~~~~~~~~

multiply top equation by -2

-10x + -2y = -10

10x + 3y = 20

y = 10

x= -3

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Answers

Answer:

1/36

Step-by-step explanation:

The only way of getting a total of 11 is rolling a 5 and a 6.

On each dice that is a 1/6 possibility

Multiply both possibilities to get 1/36.

Select all that apply.
What are the angle measures in a 30-60-90 right triangles?
90°
150°
60°
120°
30°

Answers

Answer:

90°,60°&30°

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

Can someone help me with this pls??

Answers

9514 1404 393

Answer:

  a < -5  or  11 < a

Step-by-step explanation:

For there to be two points of intersection, there must be 2 real solutions to ...

  ax +9 = -2x^2 +3x +1

Rewriting to standard form, we have ...

  2x^2 +(a -3)x +8 = 0

The discriminant of this equation is ...

  B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55

We want this to be greater than 0. Factoring, we get ...

  (a -11)(a +5) > 0

This will be true for values of a that are less than -5 or greater than 11.

__

The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.

Which graph represents the compound inequality?
n<-2 or n24
-5 -4 -3 -2 -1 0
1
2
3
4 5
A++
-5 -4 -3 -2 -1
0
1
2
3
4 5
O
-5 4 -3 -2 -1 0 1
2
3 4 5
-5 4 -3 -2 -1
0
1
2
3
4
5

Answers

Answer:

The third graph is precise

Step-by-step explanation:

-2 > n ≥ 4

n<-2 or n≥4 compound inequality is represented in the third graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is n<-2 or n≥4

The third number line represents the inequality  n<-2 or n≥4.

The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.

The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.

Hence, n<-2 or n≥4 compound inequality is represented in the third graph.

To learn more on Graph click:

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write the equation for a parabola with a focus at (-3,-5) and a directix at x=-7

Answers

Answer:

y = -28x²

Step-by-step explanation:

[tex]{ \bf{ {y} = 4a {x}^{2} }} \\ { \tt{y = - 28 {x}^{2} }}[/tex]

Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2

Answers

A. y=5x+2
Please like

Please help me out . Find x please

Answers

Answer:

on my screen I cant see anything sorry!

Step-by-step explanation:

help please! make sure to tell me the answer and an explanation!

Answers

Answer: 10

Step-by-step explanation:

So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.

Please make me brainliest

There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?

Answers

Answer:

1.22

Step-by-step explanation:

divide 8.54 by 7 to get one serving

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.​

Answers

Answer:

B) 8in

Step-by-step explanation:

Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?

Answers

Answer:

32

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

1 minute = 60 seconds

LCM of 60 and 72 = 360

360 seconds = 6 minutes

The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?

Answers

Answer:

70km and 80km

The option you chose is correct

Answer:

70 km and 80 km.

First city:

[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]

Second city:

[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]

sing white and red paint, which two mixtures result in the same shade of pink?

Answers

Answer:

B & C

Step-by-step explanation:

Mixture B:

4 white 2 red

Mixture C:

Divide the whole paint combinations by 2:

2 white 1 red

In that case, you are simply making less, but still have the same ratios. They are proportionate.

Happy learning!

--Applepi101

b and c is the answer

how many times are fives subtracted from 15 to get 0?​

Answers

Answer:

3 times

I hope this will help you

PLEASE HELP ME HERE!!

Answers

Answer:

Step-by-step explanation:

(1). Maryam's answer is correct.

(2). x = 2

Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)

Answers

your answer would be b,
you can use desmos and type the two equations in and graph for you :)

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

PLEASE HELP ME!!!!! ( photo given ) ​

Answers

Answer:

-6, 0

Step-by-step explanation:

since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.

the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0

5 square root 36^4=36 true or false

Answers

Answer:

false it 6480

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

36^1 = 36

5√36^4 ≠ 36

SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.

You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.

Answers

Answer:

It's a combination, BUT...

Step-by-step explanation:

Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.

Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen

Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.

5C5 = (5!)/[5!(5-5)] = 1

But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.

Permutation Formula: nPr = (n!)/(n-r)!

nPr = (5!)/(5-5)! = 120

Well, this looks way more accurate now, right?

Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.

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