show that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5

Answer:

The sequence is

Each term is the sum of the consecutive numbers from 1 to that number.

The nth term is the sum of the first n numbers:

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

Answer:

full length = 25 in.

Step-by-step explanation: .

20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

Answer:

The one all the way to the right

Step-by-step explanation:

30 ÷ X = 6

30 ÷ 5 = 6

Answer:1/16 for each of us

Step-by-step explanation:

Since only 1/4 is left and you and the teachers are splitting it up,you’d get 1/16 each because the half of 1/4 (1/8) was split into 2 (1/16)

Answer:

346.50

Step-by-step explanation:

550 discounted by 30% is 385.00.

385.00 discounted by 10% is 346.50

9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

     15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6

  = 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Answer:

P(d) = 62 - 2d

Step-by-step explanation:

P = pound per square inch

d = days

(52 - 46) / 3 = 2

46 + 2 * 8 = 62

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

Answer:

23=x-13, x=36

9+x=14, x=5

12=x+8, x=4

Step-by-step explanation:

23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36

9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.

12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.

If this has helped please mark as brainliest

Answer:

x=35

y=72.5

Step-by-step explanation:

Answer:

x=35 , y=72.5

Step-by-step explanation:

I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out

2y + 35 = 180

Minus 35 from both sides

2y = 145

Then we can divide 2 from both sides

y = 72.5

Then we test for x

2y + x = 180

Plug in y

145 + x = 180

Minus 145 from both sides

x= 35

There's your answer! I hope I cleared up any confusion

Answer:

C

Step-by-step explanation:

Take the coefficient of the linear term and divide it by 2

9/2

Then square it 81/4

That should either be added to the 11 or subtracted from the 15.

The answer is C

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

5x - 24 = 3 * 2

5x - 24 = 6

5x = 30

x = 6

Answer:

Solution given:

AC= 5x - 24, AO= 3.

now

since diagonal bisect each other So,

AC=2 AO

5x-24=2(3)

5x=6+24

x=30/5

x=6

Answer:

no.6 is 22in. while in no.7 is 18cm

Answer:

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Step-by-step explanation:

To solve this question, the uniform probability distribution and the normal probability distribution must be understood.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The distribution has two bounds, a and b.

Its mean is given by:

[tex]M = \frac{b - a}{2}[/tex]

Its standard deviation is given by:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Normal distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of the uniform distribution can be approximated to the normal with [tex]\mu = nM[/tex], [tex]\sigma = S\sqrt{n}[/tex]

Uniformly distributed over the interval [0,15].

This means that:

[tex]M = \frac{15 - 0}{2} = 7.5[/tex]

[tex]S = \sqrt{\frac{(15-0)^2}{12}} = 4.33[/tex]

95 trains

[tex]n = 95[/tex], so:

[tex]\mu = 95M = 95*7.5 = 712.5[/tex]

[tex]\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2[/tex]

What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?

This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So

X = 796

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{796 - 712.5}{42.2}[/tex]

[tex]Z = 1.98[/tex]

[tex]Z = 1.98[/tex] has a pvalue of 0.9761

X = 670

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{670 - 712.5}{42.2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.9761 - 0.1587 = 0.8174

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Answer:

a. The scale factor from Drawing 1 to Drawing 2 is 40%

b. The length of the bottom side of Drawing 2 is 7.8 cm

Step-by-step explanation:

5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%

19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8

Answer:

Step-by-step explanation:

c^2 = a^2 - b^2

13^2 - 5^2 = -12

Answer:

Step-by-step explanation:

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong

Answer:

2

Step-by-step explanation:

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

FRACTION. 24.5 as a Fraction in simplest form   24 1/2

29.6 as a fraction is 29 3/5

plz mark brainly

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

x = 1

Step-by-step explanation:

Mark as brainllest

Answer: 4 units

Step-by-step explanation: IT cant be 2x2 or else it would be a square

so it would have to be that the width is 1 unit and the lenght is 4 units.