16. Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)

Answers

Answer 1
2: it is, because last digit is even
3: it is, because the sum of the digit, 2+4+7+2=15, is divisible by 3
4. it is, because the last 2 digits, 20, is divisible by 4
5. it is, because last digit is 0
6. it is, because it is divisible by 2 and 3
8. it is, because the last 3 digits, 720, is divisible by 8
9. It is not, because the sum of the digits, which is 15, is not divisible by 9
10. It is, because the last digit is 0
11. It is not, because the difference of alternating digits, which is 2+0+2-4-7-0, is not divisible by 11

Related Questions

Which number's estimate written as a single digit times a power of 10 will have a negative exponent?

Answers

105 i hope this helps if not then i’m sorry

I’ll give brainliest to the first answer

Answers

Answer:

52

Step-by-step explanation:

4 1/2 x + 2x

Let x = 8

4 1/2 (8) + 2(8)

Change to an improper fraction

9/2(8) +2(8)

36+16

52

DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent​

Answers

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

help me find the answer

Answers

Answer:

? = 9.4 cm

Step-by-step explanation:

we do the full calculation, as the missing side length is simply the full perimeter minus all the other sides (as the perimeter is the sum of all side lengths).

? = 113.6 - 39.8 - 5.6 - 5.6 - 11.1 - 11.1 - 11.1 - 19.9 = 9.4 cm

What are the coordinates of the point that is 1/6 of the way from A to B? 6 A(-2, 3) 4+ B (10.3) ---- 4 4 O A. (6,0) O B. (3,0) O c. (0,6) O D. (0,3) O​

Answers

Answer:

ITS C. (0, 3)

Step-by-step explanation:

I JUST ASKED THE TEACHER ;)

y+4x=7 find the missing coordinates for a(-3,) and b (5,)

Answers

Answer:

-3 1

Step-by-step explanation:

ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above

Answers

9514 1404 393

Answer:

  21.75 m

Step-by-step explanation:

The given relations tell us that ...

  VW = TV +3

  TW = VW +TV -19

  VW +TW +TV = 62

__

Solving the first equation for TW gives ...

 TV = VW -3

Substituting that into the second equation gives ...

  TW = 2VW -22

And using these expressions in the third equation, we have ...

  VW +(2VW -22) +(VW -3) = 62

  4VW = 87 . . . . . . . . collect terms

  VW = 21.75 . . . . . . divide by 4

The length of VW is 21.75 meters.

Tìm giá trị lớn nhất và giá trị nhỏ nhất của hàm số
y=40[tex]\sqrt{(x-1)x^{3 }[/tex]- 3x-3

Answers

si 8888888888888888888888888888

please help me with this question.

Answers

Answer:

I think it's 18.1539073013

i'm  not sure sorry

Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5

Answers

Answer:

(2,1)

Step-by-step explanation:

-3x + 7 = -2x + 5

x = 2

y = -6 + 7

y = 1

Answer:

(2,1)

Step-by-step explanation:

Remark

One thing you need to remind yourself of: The y value in both equations must be the same.

That means that the two right hand values are

-3x + 7 = - 2x + 5         Subtract 5 from both sides.

      -5              -5

-3x + 2 = - 2x               Add 3x to both sides

+3x          +3x

       2 = x

Now use one of the equations to solve for y

y = -2x + 5

y = -2(2) + 5

y = - 4 + 5

y = 1

We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.

You will need the same dataset used for problem 3 in homework 1 (the dataset obtained from the yahoo website with the company you selected). Use Excel to calculate the average and standard deviation of the close data column. Assume that these two numbers represent the population (parametric mean and population standard deviation, respectively, for the variable length (in cm) in a population printout of the data to your homework and write down the ticker code on it.
a. Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average [x will be equal to: -(6/2)]
b. Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average [x = u + (0/2)]
c. Calculate the probability of sampling at random a fish that has a size between the two values [x = -(6/2), x=u +(6/2)) used in parts "a" and "b," respectively
d. Calculate the 25th and 75 percentiles of fish size for the population using the normal distribution table. e. Imagine that 5 individuals are sampled at random from this fish population. Calculate the probability that the average calculated will be less than the value: -(6/3)

Answers

Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

c) The probability of sampling at random a fish that has a size between the two values is 0.383.

d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.

e) The probability that the average calculated will be less than the value is 0.3707.

Step-by-step explanation:

For the given data set mean [tex](\mu) = 5.75913[/tex]

Standard deviation [tex](\sigma) = 0.172229[/tex]

Variance [tex](\sigma2) = 0.0296[/tex]

Here we get is

a)

[tex]P(x < \mu - \sigma/2) = p(x < 5.673) \\\\ = 0.3085[/tex]

b)

[tex]P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085[/tex]

c)

[tex]P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383[/tex]

d)

25th percentile:-

[tex]= 25*[(n+1)/100]th term \\\\= 5.69[/tex]

75the percentile:-

[tex]= 75*[(n+1)/100]th term\\\\ = 5.87[/tex]

e)  

[tex]p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707[/tex]

Please help I dont understand

Answers

Answer:

0

Step-by-step explanation:

f(x) = cos 3x

Let x = pi /6

f( pi /6) = cos (3pi/6)

             cos (pi/2)

                   0

The system of equations y = negative one-fifth x minus 6 and y = –2x + 3 is shown on the graph below.


On a coordinate plane, 2 lines intersect at (5, negative 7).

According to the graph, what is the solution to this system of equations?
(5, –7)
(–7, 5)
(5, 7)
(7, 5)

Answers

Answer:

It is A (5, -7)

Step-by-step explanation:

Answer:

A 5,-7

Step-by-step explanation:

Verify that a÷(b+c)=(a÷b)+(a ÷c), a=10 , b=5 , 6=2​

Answers

Answer:

a÷(b+c)≠(a÷b)+(a ÷c)

Step-by-step explanation:

To verify that a÷(b+c)=(a÷b)+(a ÷c)

Using the values ;

a=10 , b=5 , 6=2​

plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;

That is, right hand side = left hand side

a÷(b+c) = 10 ÷ (5+ 2)

a÷(b+c) = 10 / 7

Also;

(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7

Given the result, it can be seen that ;

RHS ≠ LHS

10/7 ≠ 7

Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?

Answers

Answer:

$20

Step-by-step explanation:

500 x .04 = 20

Answer:
$20

Explanation:

$500 = 100%
? = 4%

500*4/100 =

$20

Can someone please help me ?

Answers

Answer:

5x+3y=6

Step-by-step explanation:

Use the slope intercept form then rearrange

A square-based tent covers an area of 64 square feet. What is the length of one side of the tent?

Answers

Answer:

8 feet

Step-by-step explanation:

A square's area can be expressed as l², with l representing one side of the tent. Therefore, as our area is 64, we can say that 64 = l². Taking the square root of both sides, we get that √64 = l, and l = 8 feet


In 8 days, a group of workers can plant 72 acres.
What is their rate in acres per day


Helppp fastttt

Answers

Answer:

Step-by-step explanation:

72/8 = 9 acres per day

9 x 8 = 72

So 9!




Hope this helps!

What is the slope of the line represented by the equation f(x) = -3x + 7?

A -7
B -3
C 3
D 7

Answers

Answer:

-3

Step-by-step explanation:

in these equations the slope is multiplied by x which is -3 in this one.

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The equation of a line is [tex]y=mx+b[/tex], and m is the gradient which is the slope. Hence, the number with x is the slope, which is [tex]-3[/tex].

Hope that helped.

6) 113 = -7 - 8m
please help!

Answers

9514 1404 393

Answer:

  m = -15

Step-by-step explanation:

Given:

  113 = -7 -8m

Solution:

  120 = -8m . . . . . add 7 to both sides of the equation

  -15 = m . . . . . . . divide both sides by -8

If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)

Answers

Answer:

It will take him 5.85 seconds.

Step-by-step explanation:

12.5 (0.2t - 1) + 21t = 150

Use Distributive Property:

2.5t - 12.5 + 21t = 150

Combine like terms:

23.5t - 12.5 = 150

Subtract 12.5 from both sides:

23.5t = 137.5

Divide both sides by 23.5 to isolate variable t:

5.851063.....

Round to two decimal places (hundredths place):

5.85

At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday

Answers

Answer:

16%

Step-by-step explanation:

To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333  converted into a percentage is approximately 16%.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?

Answers

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered?

Answers

Answer:

Simpson's Paradox

Step-by-step explanation:

Answer:

Simpson's Paradox

Step-by-step explanation:

Got it right on the test.

help help help help he

Answers

Answer:

is the answer 2

Step-by-step explanation:

is that be happy

Answer: 2

Step-by-step explanation:

the answer is two

A box of 20 chocolates, 4 are cream-filled. What is the probability of randomly selecting a cream-filled chocolate?
A. 4/18 ≈ 22%
B. 4/20 = 20%
C. 4/16 = 25%
D. 16/20 = 80%

Answers

Answer:

the correct choice is B

Step-by-step explanation:

4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%

The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.

Probability

Probability is the ratio of the fovourable outcome to the total outcomes.

Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.

How to find the probability?

Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]

Total number of outcomes are [tex]20[/tex]

Probability of randomly selecting a cream-filled chocolate is-

[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]

As a result, option B is the correct answer.

#SPJ2

Find x and then find the measure of the exterior angle

Answers

Answer:

x = 32

exterior = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the  opposite interior angles

40 + 2x = x+72

Subtract x from each side

40+2x-x = x+72-x

x+40 = 72

Subtract 40 from each side

x+40-40 =72-40

x = 32

The exterior angle

x+72 = 32+72 = 104

As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you have 8 time slots, how many ways can you create the schedule for the week?

Answers

Answer:

You can create the schedule for the week in 19,958,400 ways.

Step-by-step explanation:

The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many ways can you create the schedule for the week?

8 shows from a set of 12. So

[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400[/tex]

You can create the schedule for the week in 19,958,400 ways.

A rectangle is measured 6.5 cm by 7.8 cm .
If its actual area is 52.4 square cm , find the percentage error in the area.

Answers

Answer:

3.24%

Step-by-step explanation:

Percentage error =[ (|calculated value  - actual value) / actual value] x 100

calculated area = length x width

6.5 x 7.8 = 50.7

[(|50.7 - 52.4|] / 52.4] x 100 = 3,24

Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant

Answers

Answer:

the answer is 2.3

Step-by-step explanation:

bc if u take the square root of 2.3 it would be 1.516575089 in the decimal form then u multiply it by that decimal and get 2.3. hope this help

Answer:

2.3

Step-by-step explanation:

[tex]\sqrt{2.3}[/tex]  * [tex]\sqrt{2.3}[/tex]

it means

[tex](\sqrt{2.3})^2[/tex]

root and square gets cancel so,

2.3

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