Find all numbers between 200 and 500 which have exactly 9 factors

Answers

Answer 1

Answer:

225, 256, 441, 484

Step-by-step explanation:

Only square numbers can have an odd number of factors, e.g. 4: 1, 2, 4

Therefore only square numbers can have 9 factors.

There are only 8 square numbers between 200 and 500: 225, 256, 289, 324, 361, 400, 441, 484.

One way is to list all the factors of each number and you will find that only 225, 256, 441 and 484 have 9 factors.

The other more efficient way is to acknowledge the fact that if a square number (n x n) has 9 factors, n must have only 4 factors. For example, 225 has 9 factors because it is equal to 15 squared and 15 only has 4 factors: 1, 3, 5, 15.

This way, we can find out that 15, 21 and 22 have exactly 9 factors. However, 256 has 9 factors as well as it is equivalent to 2 to the power of 8. This means that it already has 8 factors: 2, 4, 8, 16...,128, 156. However, we must include 1 as a factor which means it has 9 factors in total as well.


Related Questions

How would you find the area of this parallelogram? Describe your strategy.

Answers

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

HALPPPPPPP!!!!!!!!!!!! PLSSSS

Answers

Answer:

The equation is y = x(x-12)

Vertex form

is y = a(x-6)^2 + 4

where a is -1/9

Step-by-step explanation:

For the general equation, we have the roots at x = 0 or x = 12

so we have x and x -12

So we have the equation as;

y = (x-0)(x-12)

y = x(x-12)

y = x^2 - 12x

The vertex form equation of a quadratic equation is;

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

where (h,k) represents the vertex which we have above as (6,4)

So while substituting 6 for h, we have 4 for k

So we have it that;

y = a(x-6)^2 + 4

Substituting 0 for x and 0 for y, we have it that;

0= a(0-6)^2 + 4

0 = 36a + 4

-4 = 36a

a = -4/36

a = -1/9

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5

Answers

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

Jamal has a bag with 5 orange, 4 blue and 3 green marbles. He pulls out one marble without looking, puts it back in the bag and then pulls out another marble. What is the probability that he pulled out an orange marble followed by a green one? Express your answer as a fraction in lowest terms.

Answers

Answer:

Step-by-step explanation:

the whole bag is made of 5 orange +4blue+3 green= 12 marbles

P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48

you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green

find the equation of a line through (3,5) that is parallel to y = 4x - 8

Answers

That’s what I got above is correct

I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING

Answers

Answer:

Rotation by 90 degrees clockwise about the point (2,2)

Step-by-step explanation:

Hope this is useful to u

hello please help i’ll give brainliest

Answers

Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

c. 137°

Step-by-step explanation:

which statement is true

Answers

C is the true statement :)

Is 21 3/7 a rational or an irrational number?​

Answers

Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

Help me find the surface area and volume for this cube, please

Answers

Answer:

Question 3 should be D and Question 4 should be D

Step-by-step explanation:

The surface area is 6a² so 6(7.2) = 311.04

The volume is a³ so 7.2³ = 373.248

Please help as soon as possible:)

Answers

Answer:

I think is SSS

Step-by-step explanation:

I haven't had to take geometry yet, but from my understanding, SSS means the all the side have the same ratio in both? They are all the same ration, just dilated to different sizes, so I think its SSS

To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles

Answers

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

I need the answers plss

Answers

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.

Answers

Answer:

b answer is correct answer

If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Find the length of the third side. If necessary, write in simplest radical
form.
472
9

Answers

Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4[tex]\sqrt{2}[/tex] )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Then the third side is 7

NEED HELP ASAP 50 POINTS 20 MINS LEFT

Answers

Answer:

look at the picture I have sent

Pls answer answer pls

Answers

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

https://brainly.com/question/20700450

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HELLPPPPPP PLEASE I'LL GIVE BRAINLEST

Answers

Answer:

Angle A would be 40°

Step-by-step explanation:

The sum of all angles of a triangle is 180° always.

So, the sum of 80° , 11x - 4 and 15x would be 180°

80° + 11x - 4 + 15x = 180°

80 - 4 + 11x + 15x = 180°

76 + 26x = 180

26x = 104

x = [tex]\frac{104}{26}[/tex]

x = 4

Since angle A is 11x - 4, its measure would be

(11 x 4) - 4

44 - 4

40.

Answer
A would be 40. I hope this helps!

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Answers

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.​

Answers

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

29
Problem 3
Which ordered pair does not represent a point on the
graph of y = 3x2 – x+7?
A- (-1.5,15.25)
B( 0.5,7.25)
C- (1.25,10.25)
D- (2.5,23.25)

Answers

Answer: C (1.25, 10.25)

Step-by-step explanation:

The ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

What is substitution method?

The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables. As the name suggests, it involves finding the value of x-variable in terms of y-variable from the first equation and then substituting or replacing the value of x-variable in the second equation.

According to the question

y = 3[tex]x^{2}[/tex] – x+7

ordered pair does not represent a point on the graph

For this we will use substitution method and substitute value of x and check whether it satisfy y or not , form options

Option A:  (-1.5,15.25)

x = -1.5

y = 15.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y = 3[tex](-1.5)^{2}[/tex] + 1.5 + 7

y = 15.25

This is a point on graph as it satisfy the condition

Option B: (0.5,7.25)

x = 0.5

y = 7.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y= 3[tex](0.5)^{2}[/tex]- 0.5 + 7

y = 7.25

This is a point on graph as it satisfy the condition

Option C:   (1.25,10.25)

x = 1.25

y = 10.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](1.25)^{2}[/tex] - 1.25 + 7

y = 10.4375

This is not a point on graph as it does not satisfy the condition

Option D:(2.5,23.25)

x = 2.5

y = 23.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](2.5)^{2}[/tex] - 2.5 + 7

y = 23.25

This is a point on graph as it satisfy the condition

Hence, the ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

To know more about substitution method here:

https://brainly.com/question/14619835

#SPJ2

Determine the range of the third side of a triangle given that two sides are 14 inches and 8 inches long

Answers

Answer:

Let the triangle be ABC

Let AB = 14 and BC = 8

By Pythagoras theorem ,

                   [tex]AC^2 = AB^2 + BC^2 = 14^2 + 8^2 = 196 +64 = 260\\AC = \sqrt{260}\ inches[/tex]

Answer:

6 < x < 22

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

14 - 8 < x < 14 + 8

6 < x < 22

Find the volume of a pyramid with a square base, where the area of the base is
11.1
in
2
11.1 in
2
and the height of the pyramid is
15.3
in
15.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

V = 628.4

Step-by-step explanation:

The formula for finding the volume of a square pyramid is V = [tex]a^2 \frac{h}{3}[/tex].

a = base

h = height

V = [tex]11.1^2 (\frac{15.3}{3})[/tex].

V = 628.371

V = 628.4

Answer:

56.6

Step-by-step explanation:

will mark brainliest
Consider the sequence 3/4, 4/5, 5/6, 6/7...

Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.

Answers

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

Can somebody help me with the geometry equation.

Answers

Answer:

[tex]m\widehat{VU}=120^{\circ}[/tex]

Step-by-step explanation:

The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:

[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]

what is the ratio of 150 and 175

Answers

answer 6:7

explanation:
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