if no numbers can repeat then you have
1st digit = 10 numbers
2nd digit = 9 numbers
3rd digit = 8 numbers
4th digit = 7 numbers
5th digit = 6 numbers
10 * 9 * 8 * 7 *6 =30,240 different combinations
There are 30,240 different ID cards that can be made with 5 digits where no digit can be repeated, calculated as a permutation of 10 choices taken 5 at a time without replacement.
Explanation:The question asks us to determine how many different ID cards can be made with 5 digits where no digit can be repeated. This is a problem of permutations where the order of the digits matters. We have 10 possible digits (0-9), and we need to choose 5 of them without repetition.
For the first digit, we have 10 choices (0-9). Once we choose the first digit, we have 9 choices left for the second digit (since one digit is already used and can't be repeated). Continuing this pattern, we have 8 choices for the third digit, 7 choices for the fourth digit, and 6 choices for the fifth digit.
The total number of different ID cards is calculated by multiplying these choices:
10 choices for the first digit9 choices for the second digit8 choices for the third digit7 choices for the fourth digit6 choices for the fifth digitThe calculation is 10 x 9 x 8 x 7 x 6, which equals 30,240 different ID cards.
How many hours are in a year?
In one town, 79% of adults have health insurance. what is the probability that 4 adults selected at random from the town all have health insurance? round to the nearest thousandth if necessary.
Answer:
0.039 on gradpoint
Step-by-step explanation:
I got it right on the test
Kristin opens a savings account with $3500. She deposits $2400 every year into the account that has a 0.65% interest rate, compounded quarterly. If she doesn't withdraw any money, what will the account balance be in 10 years?
1. $28551.51
2. $24776.39
3. $28511.25
4. $24816.65
I don't know what formula to use or how to solve.
$14,146,727 is what percent of $117,190,375
The gross weight of a package in its contents is 11 lbs. 5 oz. if the packaging weighs 1 lb. 15 oz. what the net weight of the content
I will give the Brainliest answer! PLEASE HELP! The vertices of a triangle are located at the points A (1,1) , B (2,3), C (5,0). The triangle is translated 4 units down, then reflected across the x-axis to obtain triangle A'B'C'. What are the coordinates of the vertices of triangle A'B'C'?
To find the coordinates of the vertices A'B'C' of the new triangle after translation and reflection, subtract 4 from the y-coordinate of each vertex and change the sign of the y-coordinate.
Explanation:To find the coordinates of the vertices A'B'C' of the new triangle, we first translate the original triangle 4 units down. This means we subtract 4 from the y-coordinate of each vertex. So, the new coordinates of A', B', and C' are: A' (1, -3), B' (2, -1), and C' (5, -4).
Next, we reflect the translated triangle across the x-axis. To do this, we change the sign of the y-coordinate of each vertex. So, the final coordinates of A'B'C' are: A' (-1, 3), B' (-2, 1), and C' (-5, 4).
PLEASE HELP!!
f(x)=16x+12
g(x)=4x+3
Find: (fg)(x)
Select one:
a. 4x+4
b. 8
c. 4
d. 12x+9
You drive your car for three hours at an average speed of 130 kilometers per hour how far did you go
Who is known as the "founding father of geometry?"?
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a row. Meghan says that the probability of the five tiles spelling FACED is 1/252 . Her work is shown below.
Earth has a radius of about 6.4 x 10^6m. Approximate the surface area of Earth using the formula for the surface area of a sphere. S=4*pi*r^2
The surface area of the earth using the given formula is 51471.85 m².
What is the surface area of a solid?The surface area of a solid can be defined as the area covered by its surface. There are two types of area for a solid exact and lateral.
The lateral area represents only the visible portion of the surface area while the exact area is the area of the total surface of the solid.
Given that,
The radius of earth r = 6.4 × 10⁶ m.
The area of a sphere is given as S = 4π × r².
Substitute the value of r to obtain,
S = 4π × (6.4 × 10⁶)²
= 51471.85
Hence, the surface area of Earth is approximated as 51471.85 m².
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help me please!! Anyone??
what is 0.004% of 6800 round to the nearest hundredth
Which polynomial can be simplified to a difference of squares? 10a2 + 3a – 3a – 16 16a2 – 4a + 4a – 1 25a2 + 6a – 6a + 36 24a2 – 9a + 9a + 4
Answer:
2.[tex]16a^2-4a+4a-1[/tex]
Step-by-step explanation:
We have to find the polynomial can be simplified to a difference of squares.
1.[tex]10a^2+3a-3a-16[/tex]
Combine like terms
[tex]10a^2-16[/tex]
10 in [tex]10a^2[/tex] is not a perfect square number because when a number end with one zero then the number is not perfect square number.
Therefore, it can not be simplified to a difference of squares.
2.[tex]16a^2-4a+4a-1[/tex]
[tex]16a^2-1[/tex]
Combine like terms
[tex](4a)^2-(1)^2[/tex]
Hence, the polynomial can be simplified as difference of squares.
3.[tex]25a^2+6a-6a+36[/tex]
Combine like terms
[tex]25a^2+36[/tex]
[tex](5a)^2+(6)^2[/tex]
Hence, the polynomial can not be simplified as difference of squares because the polynomial can be simplified as sum of squares.
4.[tex]24a^2-9a+9a+4[/tex]
Combine like terms
[tex]24a^2+4[/tex]
[tex]24a^2+(2)^2[/tex]
[tex]24=2\times 2\times 3\times 2[/tex]
24 is not a perfect square number because when factorize 24 then 2 and 3 are not paired.
Hence, the polynomial can not be simplified as difference of squares.
The sum of the reciprocals of two consecutive integers is startfraction 11 over 30 endfraction 11 30. find the two integers.
The consecutive integers are 5 and 6.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
The sum of the reciprocals of two consecutive integers is 11/30.
Let the integers be n and n+1.
Then,
1/n + 1/n+1 = 11/30
{n + 1 + n}/n(n+ 1) = 11/30
30(2n+1 ) = 11(n²+n)
60n + 30 = 11n² + 11n
11n² - 49n - 30 = 0
(11n +6) (n-5) = 0
Only taking,
n = 5.
So, 5 and 6.
Therefore, 5 and 6 are the integers.
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What are the intercepts of 6x + 8y=24
The function H(t)=-16t+48t+12 shows the height H(t), in feet, of a cannon ball afte t seconds. A second cannon ball moves in the air along a path represented by g(t)=10+15.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: create a table using integers 0 through 3 for the 2 functions. Between wat 2 seconds is the solution to H(t)=g(t) located? How do you know?
Part B: Explain what the solution from Part A means in the context of the problem.
Is 2(x+5) factored?
Guys help me out on this one plizzz
The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures. This term's value is
(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3%
How many degrees are in the compliment of 54 degree angle? Why?
Determine the number of elements in the Sample Space for each of the following:
1. Tossing a coin three times
2. The order that the top 5 students will receive their diplomas.
3. Tossing a pair of dice.
mc:radio:(05.05 LC)
A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table shows the total charges, y, in dollars, of renting gym equipment for x number of days:
Gym Equipment Rentals
Number of days
(x)
Total Charges in dollars
(y)
0 25
1 40
2 55
What is the fixed amount charged?
$2 $15 $25 $40
the first line in the chart has x as 0 and Y as 25
this means the fixed amount would be $25
Answer:
$25
Step-by-step explanation:
because the first number in the chart is $25
hope this helps!
Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?
Answer:
The answer is the table B
Step-by-step explanation:
we have
[tex]f(x)=2x^{3}-26x-24[/tex]
Using a graphing tool
see the attached figure to better understand the problem
Relation of graph to the x-axis
Interval (-∞,-3) -----> below (the function is negative)
Interval (-3,-1) -----> above (the function is positive)
Interval (-1,4) -----> below (the function is negative)
Interval (4,∞) ----->above (the function is positive)
Find the number of ways to purchase 5 different kinds of drinks from a selection of 13 drinks.
The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
A. 3.37 feet
B. 10.59 feet
C. 35.67 feet
D. 5.97 feet
Johnny's baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. The team has a total of 11 players. Let x represent how much each player needs to raise in order to play in the tournament.
(05.03)
Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies.
What is the rate of change for the scenario described?
4
12
60
48
A triangle has side lengths 24, 32, and 42. is it a right triangle? explain.
Answer:
triangle given is not a right triangle
Step-by-step explanation:
Given:-
- The side lengths of a triangle are given as:
24 , 32 , 42
Find:-
is it a right triangle? explain
Solution:-
- Any triangle which conforms to the pythagorean theorem can be classified as a right angle triangle.
- The Pythagorean theorem states that the square of the longest side length known as hypotenuse (H) should be equal to the sum of square of other two side lengths ( Perpendicular / opposite [ P ] and Base / Adjacent [ B] ).
- This can be mathematically expressed as:
H^2 = P^2 + B^2
- From the given side lengths. The largest side length is hypotenuse H = 42. While P and B can be used interchangeably for the other two side lengths. So using the theorem we have:
42^2 = 32^2 + 24^2
1764 : 1024 + 576
1764 ≠ 1600
- We see that the three side lengths of the triangle does not conform to theorem. So we can conclude that the triangle given is not a right triangle.
Since 1764 is not equal to 1600, the triangle is not a right triangle.
To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the sides as follows:
a = 24, b = 32, c = 42
Using the Pythagorean theorem:
c² = a² + b²
Plugging in the values:
42² = 24² + 32²
1764 = 576 + 1024
1764 = 1600
Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.
The required ratio of area of cubes is 25 : 16.
Volume of cube 1 = 125
Volume of cube 2 = 64
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Volume of cube 1 = 125
a³ = 125
a = 5
Volume of cube 2 = 64
A³ = 64
A = 4
Area of cube 1 = a² x 6
= 5² x 6
= 150
Area of cube 2 = A² x 6
= 4² x 6
= 96
Now ,
The ratio of areas of cube 1 to cube 2 = 150:96.
= 25:16
Thus, the required ratio of area of cubes is 25 : 16.
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What is the difference between an image and a pre-image in a transformation? How do you tell them apart?
The image is the product of a transformation while a pre-image is the original image on which a transformation operation is performed.
What is the image in a transformation?The image is the product of a transformation or it is the figure obtained after a transforms operation is performed.
What is the preimage in transformation?A pre-image is the original image on which a trabsosfiemarion operation is performed.
The pre-image is differentiated from the image by the labelling convention used as well as by studying the transformation performed.
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