How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed? a.119 b.16,807 c.2520 d.120

Answers

Answer 1

Answer:
c. 2520

Explanation:
Repetition is not allowed, therefore:
1st digit can be any of the given 7 numbers
2nd digit can be any of the remaining 6 numbers
3rd digit can be any of the remaining 5 numbers
4th digit can be any of the remaining 4 numbers
5th digit can be any of the remaining 3 numbers
This means that:
number of possible combinations = 7 * 6 * 5 * 4 * 3 = 2520 numbers

Hope this helps :)

Related Questions

Madison has to read a book that is 260 pages. Her mom says she can take a break when she is 30% finished. How far does she need to read? A) 8 pages B) 17 pages C) 78 pages D) 87 pages

Answers

Use proportions.

30/100=x/260 cross multiply

260*30=7,800
7,800=100x
Then divide

hi there.

your answer is: C.78 pages.

hope this helps!

Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.

Answers

Step 1
Partition a number line from 0 to 1 into fourths
1 into fourths--------> 1/4
(0)----------------(1/4)----------------(2/4)---------------(3/4)---------------(4/4)
(0)---------------------------------------------------------------------------------(1)

Step 2
Decompose 3/4 into 6 equal lengths

Note that in the previous graph the number 3/4 is divided into 3 equal parts. so to divide it into 6 equal parts we will divide the space of 1/4 between 2 to obtain spaces of 1/8

(0)----------------(1/4)----------------(2/4)---------------(3/4)----------------(4/4)
(0)-----(1/8)-----(2/8)-----(3/8)-----(4/8)-----(5/8)----(6/8)-----(7/8)----(8/8)

Final answer:

To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.

Explanation:

Partitioning a Number Line into Fourths and Decomposing Fractions

To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.

Step-by-Step Solution

Draw a number line from 0 to 1.

Mark off four equal lengths between 0 and 1, each representing 1/4.

Find 3/4 on the number line. It is three of these fourths.

Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.

Mark these new lengths on the number line, showing that each length is 1/8.

HELPP PLEASE!!!

Victoria will borrow $6500 at 13% APR. She will pay it back over 15 months. What will her monthly payment be?

A. $489.67
B. $503.75
C. $517.83
D. $629.69

Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 Year’s. What will his monthly payment be?

A. $156.47
B. $227.46
C. $230.79
D. $324.90

Answers

For the first question (Victoria), the answer is $503.75.

Part A: The monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B: The monthly amount payable by Victor is $276.17.

What is interest?

Interest is defined as the amount of money paid for the use of someone else's money.

Part A:

Given that the amount P is $6500, interest rate R is 13% and time period T is 15 months. The yearly time period is given as,

[tex]T = \dfrac {15}{12}[/tex]

[tex]T = 1.25 \;\rm Years[/tex]

The interest is calculated as given below.

[tex]I = P\times\dfrac {R}{100}\times T[/tex]

[tex]I = 6500 \times \dfrac {13}{100} \times 1.25[/tex]

[tex]I =\$ 1056.25[/tex]

The total amount after 15 months is given as,

A = P + I

A = $6500 + $1056.25

A = $7556.25

This is the amount of 15 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$7556.25}{15}[/tex]

Monthly Amount = $503.75

Hence we can conclude that the monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.

Part B:

Given that the amount P is $6800, interest rate R is 13.5% and time period T is 3 years.

The total amount after 3 years is given as,

[tex]A = P (1 + \dfrac {R}{100})^T[/tex]

[tex]A = 6800 (1 + \dfrac {13.5}{100})^3[/tex]

[tex]A = 6800 \times 1.4621[/tex]

[tex]A = \$ 9942.28[/tex]

This is the amount of 3 years or for 36 months. The amount of one month is calculated as given below.

Monthly Amount = [tex]\dfrac {\$9942.28}{36}[/tex]

Monthly Amount = $276.17

Hence we can conclude that the monthly amount payable by Victor is $276.17.

To know more about the interest, follow the link given below.

https://brainly.com/question/4605117.

Assume Triangle EFG equals triangle JKL

Answers

Hello!

Since ΔEFG is congruent to ΔJKL, their corresponding angles are congruent (CPCTC). The congruence statement tells you which angles of the triangle correspond; ∠E corresponds to ∠J, ∠F corresponds to ∠K, and ∠G corresponds to ∠L. The measures of all the angles of ΔJKL are given, so you just have to name the angle of ΔJKL that corresponds to ∠E of ΔEFG.

Looking at the congruence statement, ∠J corresponds to ∠E, and the m∠J is 90°. Thus the answer is 90°.

Answer:
m∠E = 90°

what is the explicit rule for the following sequence -10 - 12 -14 -16

Answers

The explicit rule is in the pic

evaluate r s + 14s when r= 6 and s= 1/4

Answers

R S + 14(S) R=6 S=1/4
(6)(1/4) + 14(1/4)
1.5 + 14(1/4)
1.5 + 3.5
5

Randall is going to the grocery store. It is 3 3/5 miles from his house. He walks 2 2/5 miles before it starts to rain. How far will he have to walk in the rain?

Answers

Subtract 2 2/5 from 3 3/5 and you get 1 1/5 of a mile left.

A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.

Answers

Answer:

A,B,E

Step-by-step explanation:

HAVE A GOOD DAY

The required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

Given that,
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
According to the question,
A smaller number is 3 less than half a larger number.
x = 1/2y - 3
or
2x -y = -6

The larger number is 10 times 1 less than the smaller number.
y = 10[x - 1]

Thus, the required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2

y=f(x)=(1/3)^x find f(x) when x=2 express as a decimal rounding to the nearest thousandth

Answers

at x = 2
f(x) = (1/3)^2
= 1^2/3^2
= 1/9
= 0.111

Describe two different sequences of transformations that will map ABCD to EFGH.

Answers

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin

Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units

This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5

Or,
.. reflect across the line y=2.5
.. reflect across the line y=x

Answer:

The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.

Translation before rotation:

.. translate down 5 units

.. rotate counterclockwise 90° about the origin

Translation after rotation:

.. rotate counterclockwise 90° about the origin

.. translate right 5 units

This can also be accomplished by a double reflection.

.. reflect across the line y=x

.. reflect across the line x=2.5

Or,

.. reflect across the line y=2.5

.. reflect across the line y=x

Step-by-step explanation:

please mark this answer as the brainlest

Factor
12x^5+6x^2-18

A) 6x^2(2x^3+x−3)

B) 12(x^5+6x^2−18)

C) 6(2x^5+x^2−3)

D) 6(2x^5+6x^2−18)

Answers

C on that one which is the correct answer

The answer would be...

6(x-1)(2x^4+2x^3+2x^2+3x+3)

I hope this helped but I couldn't see this as one of the multiple choice answers but I worked it out and this I what I got

The common denominator of 3/4 and 9/10

Answers

The common denominator would be 20 , 3/4 would turn into 15/20 and 9/10 would be 18/20

To common denominator would be 20, since 4 and 10 can both become 20 after multiplying themselves with other numbers, in this case 5, and 2.
So 3/4 would be 15/20, and 9/10 would become 18/20.

which answer is a reasonable estimate to the following problem? 94.689

Answers

A reasonable estimate to the nearest whole number would be 95, to the nearest tenth it would 94.7, and to the nearest hundredth, it would be 94.69. It all depends on whether the number to the right is greater or less than 5.

WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!!!!!

Tony is baking cakes and loaves of bread for a family reunion. His cake recipe uses 5 cups of flour for each cake, and his bread recipe uses 6 cups of flour for each loaf. He has 90 cups of flour on hand.

Let c represent the number of cakes and b represent the number of loaves of bread that Tony bakes.

Create an inequality that symbolizes this situation, and then answer the question below.

Can Tony bake 8 cakes and 9 loaves of bread without buying more flour?

Answers

5C+6B=90

5*6=30*3=90 YES

Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas did they eat?

Answers

To find the answer, you'd multiply 2 and 10 to get 20. 20 will then be the denominator of the fraction. If they ate 14 slices, the fraction would be 14/20, which can be simplified by dividing it by 2. This will give you 7/10.

70% part of the pizzas they ate.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Peyton has 2 pizzas. Each pizza is cut into 10 equal slices.

Thus, total slices of pizza = 10 *2

total slices of pizza = 20

Since, She and her friends eat 14 slices.

Thus,

Percentage of pizza they eat = 14/20*100

Percentage of pizza they eat = 14*5

Percentage of pizza they eat = 70%

Therefore, Alex and her friends Eat 70% of the pizza.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

You build and sell toy cars $36 each. So far you have built 24 toy cars how many more toys cars will you have to build and sell to earn 1,620?

Answers

Hello!

We know that you sell each toy car for $36.00 and you've made 24 so far.

Multiply the price of each car by how many you've made so far.

36 × 24 = 864

This means you'll make $864.00 when you sell 24 cars.
Since you want to earn $1620.00 and you've already got $864.00 of it, subtract the money you'll get from 24 cars from how much money you want to earn.

1,620 - 864 = 756

Finally, divide this by the cost of each car.

756 ÷ 36 = 21

So, you'll have to build and sell 21 more cars to earn $1,620.00.

A hacker is trying to guess someone's password. the hacker knows (somehow) that the password is 6 digits long, and that each digit cound be a number between 0 and 8. assume that the hacker makes random guesses. what is the probability that the hacker guesses the password on his first try? round to four decimal places.

Answers

The probability that the hacker guesses the password on his first try is 0

How to determine the probability?

The password is given as:

Password = 6 digit long

The usable numbers are:

Digits = 0 to 8 i.e. 9 digits

If the digits can be repeated, then the number of passwords is:

Password = 9^6

Evaluate the exponent

Password = 531441

The probability that the hacker guesses the password on his first try is

P = 1/531441

Evaluate

P = 0.00000188167

Approximate

P = 0.0000

Hence, the probability that the hacker guesses the password on his first try is 0

Answers

First, subtract 15.99 from 177.01
This should give you 161.02
Then divide 161.02 by .83
He drove 194 miles :)

The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.

What is the total area, in square millimeters, of the charm?

Answers

What is the size of trapezoid?

Answer:

855mm

Step-by-step explanation:

The area of the trapezoid can be calculated through the equation,

A = (b₁ + b₂)h / 2

where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,

A = (25mm + 32mm)(15 mm) / 2

A = 427.5 mm²

Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.

total area = (427.5 mm²)(2)

total area = 855 mm²

Solve for W!
W - 2.76 = 6.7

Answers

W - 2.76 = 6.7

isolate the W by adding 2.76 to both sides of the equal sign

W - 2.76 (+2.76) = 6.7 (+2.76)

W = 6.7 + 2.76

W = 9.46

9.46 is your answer

hope this helps

All you need to do is add 2.76 to 6.7.

W= 9.46

The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is (x - 4)² + y² = 2√3 (x - 4)² + y² = 12 (x + 4)² + y² = 12

Answers

The equation of a circle is (x-a)²+(y-b)²=R²
(x-4)²+(y-0)²=(2√3)²
(x-4)²+y²=12

Answer:

Equation of the circle is

[tex](x-4)^2+y^2=12[/tex]

Step-by-step explanation:

We have been given that

center of the circle = (4,0)

Radius of the circle = [tex]2\sqrt3[/tex]

The standard form of a circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, (h,k) is the center and r is the radius. Thus, we have

h = 4, k = 0, r = 2√(3)

Substituting these values in the above equation, we get

[tex](x-4)^2+(y-0)^2=(2\sqrt3)^2[/tex]

Simplifying, we get

[tex](x-4)^2+y^2=12[/tex]

Therefore, equation of the circle is

[tex](x-4)^2+y^2=12[/tex]

is 4 yards bigger than 13 feet

Answers

1 yard = 3 feet

4 yards x 3 feet = 12 feet

12 feet is less than 13 feet

So False, 4 yards is less than 13 feet

hope this helps

Hello,

Here is your answer:

The proper answer to this question is "no".

1 yard=3 feet

4*3=12

12<13

Your answer is no.

If you need anymore help feel free to ask me!

Hope this helps!

Graph the following inequality. Then click until the correct graph appears.

x - y < 2

Answers

the correct graph is the dotted diagonal one ( 3rd picture)

Solve for y

y >x-2

Answer:

Third picture

Step-by-step explanation:

If you simplify the inequality, it is y > x - 2. Because of this, we can graph it as such.

Solve and graph question 5 help with this problem

Answers

Hello there!

6 - 2x > 2x + 26

Let's start by subtracting 2x from both sides

6 - 2x - 2x > 2x - 2x + 26

-4x + 6 > 26

Then add -6 to both sides

-4x + 6 - 6 > 26 - 6

-4x > 20

Divide both sides by -4

-4x/-4 > 20/-4

x < -5

As you can see, I change the sign. The reason is because whenever you divide both sides by a negative sign, you MUST change the sign.

The answer is -5

See picture bellow for the graph!

I hope this answer helps, and please let me know if you have questions about the answer.

As always, I am glad to be your helper to night!

Describe the relationship that must exist between a, b, and c in the equation ax^2+bx+c=0 in order for the equation to have exactly one solution

Answers

The equation [tex]ax^2+bx+c=0[/tex] has solutions given by [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]. This means take the numbers a, b and c then plug them into that formula on your calculator and bam, answers.

The [tex]b^2-4ac[/tex] bit is called the discriminant and it tells you what kind of solutions occur,
-if [tex]b^2-4ac \ \textgreater \ 0[/tex] then the equation has two different solutions
-if [tex]b^2-4ac=0[/tex] then the equation has exactly one solution
-if [tex]b^2-4ac\ \textless \ 0[/tex] then the equation has no (real) solutions.

So you are interested in exactly one solution which happens if [tex]b^2-4ac=0[/tex] or equivalently [tex]b^2=4ac[/tex].

Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?

Answers

Answer:

Rate column: 30, 20.

Distance column: x miles for both.

Step-by-step explanation:

Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?

Fill out the Rate column in the table below.

a = 30

b = 20

Fill out the Distance column.

c = x miles

d = x miles

basically: 30, 20 for first question. x miles for both second

A box of 24 chocolate truffles cost $28.50 and individual truffle cost $1.50 how much do you save by purchasing a box of 24

Answers

[tex]1.50 \times 24 = 36 \\ 36 - 28.50 = 7.5[/tex]
you save $7.50

You would save exactly 7 dollars and 5 cents because if you do 1.50 x 24 in a whole box it would 36 dollars and if you subtract that from 28.50 you would get 7 dollars and 5 cents.

(I NEED THIS ANSWERED IMMEDIATELY. IT'S WORTH 15 POINTS!!!!!

Write a ratio the situation in three ways comparing the first quantity to the second quantity. A zoo has 14 monkeys and 18 chimpanzees.

Answers

A zoo has 14 monkeys and 18 chimpanzees.

To write the ratio of numbers x and y we use three ways given below

1. x to y

2. x : y

3. [tex] \frac{x}{y} [/tex]

Now write the ratio in three ways comparing 14 monkeys and 18 chimpanzees.

Let x be the number of monkeys

y be the number of chimpanzees

So ratio becomes

14 to 18

14 : 18

[tex] \frac{14}{18} [/tex]

Please help me with questions 14 and 15

Answers

Problem 14: The answer is choice A since the x coordinate flips in sigh (from positive to negative or vice versa). The y coordinate stays the same. This rule reflects the figure over the y axis.

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

Problem 15: The answer is choice A
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 12/13

Devin borrowed $1,058 at 13 percent for nine months.

What will he pay in interest?

How much is his total payment?

What will be his monthly payment?

Answers

Answer:

A. [tex]I\approx \$103.16[/tex]

B. [tex]\text{Total payment}=\$1161.16[/tex]

C. [tex]\text{The monthly payment}\approx \$129.02[/tex]

Step-by-step explanation:

We have been given that Devin borrowed $1,058 at 13 percent for nine months.

A. To find the amount of interest paid by Devin we will use formula: [tex]I=Prt[/tex], where,

[tex]I=\text{Amount of interest}[/tex],

[tex]P=\text{Principal amount}[/tex],

[tex]r=\text{Interest rate in decimal form}[/tex],

[tex]t=\text{Time in years}[/tex].

Let us convert our given interest rate in decimal form and time in years.

[tex]13\%=\frac{13}{100}=0.13\\\text{9 months}=\frac{9}{12}\text{ year}=\frac{3}{4}=0.75\text{ year}[/tex]

Upon substituting our given values in interest formula we will get,

[tex]I=\$1058*0.13*0.75[/tex]

[tex]I=\$103.155\approx \$103.16[/tex]

Therefore, the amount of interest paid by $103.16.

B. Since total payment will be equal to interest rate plus amount of interest.

[tex]\text{Total payment}=\$1058+\$103.16[/tex]

[tex]\text{Total payment}=\$1161.16[/tex]

Therefore, Devin's total payment will be $1161.16.

C. To find the monthly payment we will divide total amount by 9.

[tex]\text{The monthly payment}=\frac{\$1161.16}{9}[/tex]

[tex]\text{The monthly payment}=\$129.01722\approx \$129.02[/tex]

Therefore, the amount of Devin's monthly payment is $129.02.

Other Questions

Tests reveal that a client has phosphatic renal calculi. the nurse teaches the client that the diet may include which food item? When pathogenic fungi are found growing on the roots of grape vines, grape farmers sometimes respond by covering the ground around their vines with plastic sheeting and pumping a gaseous fungicide into the soil. the most important concern of grape farmers who engage in this practice should be that the _____. when pathogenic fungi are found growing on the roots of grape vines, grape farmers sometimes respond by covering the ground around their vines with plastic sheeting and pumping a gaseous fungicide into the soil. the most important concern of grape farmers who engage in this practice should be that the _____. sheeting is transparent so that photosynthesis can continue fungicide might also kill mycorrhizae fungicide might also kill the native yeasts residing on the surfaces of the grapes lichens growing on the vines' branches are not harmed? a collection of nickels and dimes is worth $2.95 there are 47 coins and all how many nickels are there Hannah keeps her marbles in bags with four marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles and two bags what kinds of behavior does Confucius talk about in the Analects? In Spanish, write one complete sentence with each of the following words.nuncanadanadiealgoalguien Explain how the popular and electoral college votes decide the presidency. Identify and explain the different forms of jurisdictions for the Supreme Court. Quick Fix Inc. repairs bikes. The companys revenue is modeled by the function R(h)=220h160 for every h hours spent repairing bikes. The companys overhead cost is modeled by the function C(h)=20h^2400.After how many hours does the company break even? Which is the slope of the line that passes through the points (2,10) and (5,8)? Which of the following illustrates the proper declaration of a variable and data type to hold a whole number?int myNumber = 10;Int myNumber = "10";myNumber = 10 + "10";float myNumber = 5; Wy is it important to set boundaries for dating relationship? Give an example of an appropriate boundary for a first date A wheelchair ramp has a slope of 1:12 (1 foot of rise over a horizontal distance of 12 feet). To the nearest 0.1 foot, how many feet of ramp will be needed to rise 3 feet? (Round the angle of incline to the nearest 0.01.) What were the causes of the peasants' revolt of 1525-1526? what was luther's position in this upheaval? why did he take that position? Which of the following best describes the influences on how elected representatives vote on bills? (1 point) A. Choices that the representatives make on bills seem to have no pattern or any similarities. B. Personal attitudes, party affiliation, and constituent wishes all affect representatives' votes. C. Representatives have to approve all bills introduced by the president and can choose on others. D. The political parties mandate their representatives to vote the same as other party members Which equation is correct for the perpendicular bisector of the line segment whose endpoints are (1,1) and (7,5)? A wedding Gift Maupassant's style of writing included plots twists and irony. This style inspired _____. William James Leo Tolstoy O. Henry Annie Dillard What is the trna anticodon that binds to the codon you typed above? your boss has asked you to deliver a project sooner than expected. An appropriate response would be: Within its human resource department, hoosier enterprises has a vice president of human resources, a director of human resources, a labor relations manager, assistant managers of human resources, a manager of compensation, an employee benefits manager, human relations supervisors, and team leaders for training and employee development. this hierarchy would suggest that hoosier enterprises has a(n) _______ organization. Calculate the ph of 0.200 mol dm3 ethanoic acid (pka = 4.76).