The number 42 has the prime factorization 2 · 3 · 7. Thus, 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number "858" can be written as a product of two positive integer factors. (Enter your answer as a comma-separated list of products.)

Answers

Answer 1

Answer:

[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]

Step-by-step explanation:

Given:

[tex]Number = 858[/tex]

Required

List all its distinct product of two numbers

First, we list out the prime factors of the given number.

We have:

[tex]Number = 2 * 3 * 11 * 13[/tex]

So, the possible products are:

(1) 1 and the integer itself.

[tex]1 * 858 = 858[/tex]

(2) 1 prime factor and the product of other primer factors

[tex]2 * 429 = 858[/tex]

[tex]3 * 286 = 858[/tex]

[tex]11 * 78 = 858[/tex]

[tex]13 * 66 = 858[/tex]

(3) A pair of prime factors and the product of remaining primer factors

[tex]6 * 143 = 858[/tex]

[tex]22 * 39 = 858[/tex]

[tex]26*33 = 858[/tex]

Hence, the list are:

[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]


Related Questions

PLS HELP TIMED HW WILL GIVE BRAINLEIST

Answers

Answer:

4.8

Step-by-step explanation:

[tex] V_{sphere} = \frac{4}{3} \pi r^3 [/tex]

[tex] 144\pi= \frac{4}{3} \pi r^3 [/tex]

[tex]r^3 = \frac {3 \times 144\pi}{4\pi}[/tex]

[tex]r^3 = 3 \times 36[/tex]

[tex]r^3 = 108[/tex]

[tex]r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: [/tex]

How many times greater is the value of 5 in 532,874 than the value of 451,073?​

Answers

Answer:

10 times greater is the value of 5 in 3,590 than the value of 5 in 359.

Step-by-step explanation:

Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none

Answers

Answer:

Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3

7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~

Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz

Help me please this is very hard i got 8ft but it said I was wrong!?

Answers

Answer:

is the answer 200/3 Or 66.667 ft

For each of the following, indicate whether or not a paired analysis would be appropriate.

a. A school cafeteria offers a vegetarian and a nonvegetarian option for lunch every day. For a period of two weeks, you record how many calories are in the vegetarian option and how many calories are in the nonvegetarian option. Your goal is to see if vegetarian options tend to differ with regard to average number calories from nonvegetarian options.
b. A farmer investigates whether talking to cows by name leads to producing more milk. He randomly selects 30 of his cows and randomly assigns 15 to talk to by name and the other 15 not to.

Answers

Answer: a. a paired analysis is appropriate

b. a paired analysis is not appropriate

Step-by-step explanation:

The paired analysis sometimes is refered to as a statistical procedure which is used to know if the mean difference that exist between two observations is zero or not. It should be noted that in a paired analysis, each subject is measured twice, and this beings about the pairs of observations.

a. Here, the paired analysis is appropriate due to the fact that similar measurement which are the calories are taken for several days for both the vegetarian and the non vegetarian such are two pairs of sample.

b) In this case, the paired analysis is not appropriate. Here, the pairs of samples don't undergo identical treatment.

If the diameter is 111ft then the radius is

Answers

Answer:

55.5 is the I guess........

Please help will give brainlyist

Answers

Number 11
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400

A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different cities.

City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85

Assume that the population variances of both groups are different. Test if there is sufficient evidence that the mean costs of a meal at fast food restaurants in two different cities are different. Conduct the hypothesis testing (optional) in paper.

Answers

Answer:

We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.

Step-by-step explanation:

Given :

City n x s

A 26 $4.05 $0.55

B 32 $5.15 $0.85

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 ≠ 0

n1 = 26 ; x1 = 4.05 ; s1 = 0.55

n2 = 32 ; x2 = 5.15 ; s2 = 0.85

Tstatistic :

(x1 - x2) / √(s1²/n1 + s2²/n2)

(4.05 - 5.15) / √(0.55²/26 + 0.85²/32)

-1.1 / 0.1849668

= - 5.947

Using the smaller n;

df = n - 1 ; 26 - 1 = 25

Pvalue = (-5.947, 24)

Pvalue = 0.000001

Since Pvalue < α ; We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.

200 points


What is the value of B and P for the following triangular prism?




30 ft 2

48 ft 2

72 ft 2

24 ft 2

Answers

Answer:

48 ft 2

Step-by-step explanation:

Can someone please help me, giving all answers hearts, thank you in advance

Answers

Answer:

D) y=-5/2x; y=-20

Step-by-step explanation:

If y varies directly with x, then y=kx where k is our proportionality constant

Therefore, since y=-5 when x=2, we have -5=k(2) where k=-5/2

This means that when x=8, y=(-5/2)(8)=-20, making choice D correct

Please help i really need the points on this test ill give u brainliest if ur right!!

Answers

Answer:

13 and 16 for the first question and the second part i dont know sorry

Step-by-step explanation:

The median is the line in the center of the box

Which equation represents the data in this function table?


A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3

Answers

Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The answer is not b

Step-by-step explanation:

The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
A)
2 cm
B)
4 cm
C)
6 cm
D)
8 cm

Answers

Answer:8 cm

Step-by-step explanation:

I think the answer is 8cm

Which story problem can be solved using the expression 5 ÷ 1/4 ?

A : Suzy needs 5 pieces of ribbon that are each 1/4 yard long.What is the total length of the ribbon she needs?
B : Alex cuts 1/4 of a pizza into 5 slices.What part of the pizza is one of the slices he cuts?
C :Nicole cuts 5 feet of string into 1/4 foot pieces.How many pieces does she cut?
D : Sammy pours 1/4 cup of honey equally into 5 teacups.How much honey does he pour into each teacup? Which one plzz help

Answers

The correct answer is letter C

a trader bought some eggs at 64 per dozen and sold 2/3 of them at 240/= per tray and the other 1/3 at 225/= per tray.In so doing she made a profit of 450/=.given 1 tray holds 30 eggs and 1 dozen 12 eggs determine the number of eggs she bought. ​

Answers

Note that the number of eggs the above-described trader bought is 180 eggs. This is solved using simple arithmetic.

What is the justification for the above response?

Let no. of the eggs be x, then

Money the trader paid for eggs = 64/12x = 16/3x

The money the trader got from

Seling two third eggs =2/3x*240/30

=16/3x

Money get from one third= x/3*225/30

=5/2

Profit= [16/3x+5/2x] - 16/3x

5/2x = 450

x =450*2/5

=180

Therefore, the number of eggs that the trader bought is 180.

Learn more about arithmetic:

https://brainly.com/question/11424589

#SPJ1

41. How would the graph of the function
y=x2- 3 be affected if the function were
changed to y=x2 + 2?
A. The graph would shift 2 units up.
B. The graph would shift 5 units up.
C. The graph would shift 5 units down.
D. The graph would shift 1 unit up,

Answers

Answer:

B. The graph would shift 5 units up.

Step-by-step explanation:

Before the change:

Before the change, the function was given by:

[tex]y = x^2 - 3[/tex]

After the change:

After the change, the function was given by:

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

Considering the function as it was before the change, it can also be written as:

[tex]y = x^2 - 3 + 5[/tex]

Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.

4 points
1. In which economic system are the factors of production privately
owned? *
Capitalism
Socialism
Command
O Confucianism
4 points
*
what is the government's role?

Answers

Answer:

Capitalism

Step-by-step explanation:

It's characterised by private ownership of the means of production.

pls help
I really need help

Answers

Answer:13

Step-by-step explanation:It is 13 because the mode is the number that is repeated the most.

It would be 13 because that is what makes the most sense

There are 67 rabbits in the garden. Round 67 to the nearest 10.

Answers

Answer:

70

Step-by-step explanation:

1-4 rounds down

5-9 rounds up

70

hope this helps!!!

Select the correct answer from each drop down menu. The square root of 15 look at image

Answers

Answer:

a=15

b=7

c=4

Step-by-step explanation:

[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]

Enter the value of 3.5•(7-4.5).

Answers

Answer:

8.75

Step-by-step explanation:

3.5(2.5)

Answer:

8.75

Step-by-step explanation:

3.5(2.5)


Can you help on #5 I have to estimate & #5 simple yes or no please thank you

Answers

If you need an estimate for #5, then you can round each value to the nearest whole number to have...

21.6 turn into 2120.9 turn into 2119.4 turn into 1918.5 turn into 19

Add up those values: 21+21+19+19 = 80

-------------------

Another estimate you could do is to round everything to 20, since we're close to this value. Having four copies of 20 added leads to 20+20+20+20 = 80

So they rode a total estimated amount of 80 miles

--------------------

The actual total is:  21.6+20.9+19.4+18.5 = 80.4 miles, which isn't too far off from 80.

All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample
to make a statistical inference about the mean of the normally distributed population from which it was drawn?
zes
ME=
O The margin of error is multiplied by 0.5
O The margin of error is multiplied by a
O The margin of error is multiplied by 0.5.
O The margin of error is multiplied by 2.

Answers

Answer:

The margin of error is multiplied by 4.

Step-by-step explanation:

Margin of error is:

[tex]M = \frac{zs}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.

From this, we have that the standard deviation is inversely proportional to the square root of the sample size.

If you cut the sample size in half:

The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by [tex]\frac{1}{2}[/tex], the margin of error will be multiplied by [tex]2^2 = 4[/tex]

So

The margin of error is multiplied by 4.

The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.

Answers

Answer:

Its width is 9.66 feet and length is 22.98 feet.

Step-by-step explanation:

Let l is length and b is width of a rectangular lot.

Length, l = (3b-6) feet

The area of the lot is 222 sq feet.

The area of a rectangle is given by :

[tex]A=lb\\\\222=(3b-6)b\\\\222=3b^2-6b[/tex]

It is a quadratic equation. The solution of the above equation is given by :

b = 9.66 feet and -7.66 feet

Neglecting negative answer, the width of the lot is 9.66 feet.

Length, l = (3(9.66)-6) = 22.98 feet

Hence, its width is 9.66 feet and length is 22.98 feet.

One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.

(2b + 3r) + (4b+ r)

Answers

( 2b + 3r ) + ( 4b + r )
= 6b + 4r

Which method can you use to prove that the triangles are congruent?

Answers

Answer:

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

Is there any math Aces in Brainly today?

Answers

Answer:

So this angle is an acute angle so it would be around 60 so i think its D

Step-by-step explanation:

can i have brainliest

can someone please answer this I need extreme help.

Answers

27
To start off you’ll need to separate the shape into different parts to find the area so we have a square and a rectangle. Since 3x3=9 then 2x9=18 so you add them together you will get 27

Answer:

hope this will help you more

2x27 ÷2+95x4
Help me​

Answers

Answer:

407

Step-by-step explanation:

Using PEMDAS, we get that (2x27) ÷ 2 + (95x4)

54÷2+380

27+380

407


Jonn is giving out chocolate to his friends. If he wants to give each friend 2/3
of a chocolate bar and he has 13 friends, how many chocolate bars wil he
need to buy?

Answers

He will need to buy 9 chocolate bars
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