Number of distinct products that can be formed is 144
PermutationSince we need to multiply two different integers to be selected from the set which contains a total of 12 integers. This is a permutation problem since we require distinct integers.
Now, for the first integer to be selected for the product, since we have 12 integers, it is to be arranged in 1 way. So, the permutation is ¹²P₁ = 12
For the second integer, we also have 12 integers to choose from to be arranged in 1 way. So, the permutation is ¹²P₁ = 12.
Number of distinct products
So, the number of distinct products that can be formed from these two integers are ¹²P₁ × ¹²P₁ = 12 × 12 = 144
So, the number of distinct products that can be formed is 144
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please help me now help me nowww please
Answer:
A. 1
B. 3
C. 2
D. 5
E. 4
F. 6
Can anyone solve this problem
Answer:
[tex]10(x - a) \\ [/tex]Step-by-step explanation:
[tex] \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} } \\ = {( \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} })}^{2} \\ = ({x }^{2} - {a}^{2} ) \times ( \frac{10}{a + x} ) \\ = (x - a)(x + a) \times \frac{10}{a + x} \\ = (x - a) \times 10 \\ = 10(x - a) \\ [/tex]
A small bookshelf is
8
12
yard long. How many books can fit on the shelf if the width of each book is
24
yard? Explain.
HERE IS WHAT I GOT SO FAR PKEASEEEE. HELP I AM LOST jsjsjdndjdj
Answer:
16
Step-by-step explanation:
8/12 ÷ 1/12 = 8/12×24/1=192/12=16
The required number of books that can be fitted to the 8/12 yard long bookshelf is 16 books.
Given that,
A small bookshelf is 8/12 yards long. how many books can fit on the shelf if the width of each book is 1/24 yard is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
here,
The total length of the shelf = 8 / 12 yard
Width of a book = 1 / 24 yard
So the total number of books that can be accumulated on the shelf will be the ratio of the total length of the shelf to the width of a book. So,
Total books = 8 / 12 / {1 / 24]
= 8 * 24 / 12
= 16
Thus, the required number of books that can be fitted to the 8/12 yard long bookshelf is 16 books.
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Convert the fraction 23/
12
into decimal
Answer:
1.916 just devide: 23÷12=1.916
Answer:
[tex]1.917[/tex]
Step-by-step explanation:
[tex] \frac{23}{12} \frac{ \times8.33333333 }{ \times 8.33333333} \\ = \frac{191.666667}{100} \\ = 1.917[/tex]
Does anyone know this?
Answer:
Step-by-step explanation:
2x+17=3x-4(alternate angles)
21=x
3x-10+2x+30=180(linear pair)
5x+20=180
5x=160
x=32
If 81 is added to a number, the result is 39 less than three times the number. Find the number.
Answer:
60
Step-by-step explanation:
The number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
2. What is the equation of the line in point-slope form? Use the point on the graph.
9514 1404 393
Answer:
y -1 = 1/2(x +2)
Step-by-step explanation:
The line has a rise of 1 grid unit for each 2 that it goes to the right. Its slope is then m = rise/run = 1/2. The given point appears to be (-2, 1).
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For the given slope and point, this is ...
y -1 = 1/2(x +2)
1/2(x - 4) = 5
Thank you!
Answer:
x = 14
Step-by-step explanation:
1/2(x - 4) = 5 - Given
1/2x - (1/2 * 4) = 5 - Distribute
1/2x - 2 = 5 - Multiply 1/2 by 4
1/2x = 7 - Add 2 to both sides of the equation
x = 14 - Divide both sides of the equal by 1/2
Evaluate the exponential function f(x) = (1/2)x
Х 4, -1 ,0 ,1 ,3
f(x) 16, ?, 1, 1/2, 1/8
Which value completes this table?
A. 12
B. 8
C. 4
D. 2
Answer:
2
Step-by-step explanation:
You should substitute x = -1 to the f(x) and you will find:
[tex]f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2[/tex]
So, the answer for the ? is 2.
Jen invested $3500 into a continuously compounded account with an interest rate of 3.1%. After 9 years, how much money is in the account? Round your answer to the nearest whole number
Answer:
4626
Step-by-step explanation:
why heart shape is a 2d irregular shape?
Answer:
Dimensions and angles.
Step-by-step explanation:
A 3d shape has length, width, and height. A 2d regualr shape has equal sides... what makes it irregular is the different angles.
I hope this helps you :)
After Lydia spends 20% of her savings on car repairs, she has $1500 left. How much was in her saving originally?
Answer:
$7,500
Step-by-step explanation:
1500/2 750, 750x10=7,500
For the following questions: In order to make a specific shade of green paint, a painter mixes 1.5 cups of blue paint, 2 cups of green paint, and 0.5 cups of white paint. How much of each color is needed to make 100 cups of this shade of green paint?
ONLY THE NUMBER IS NEEDED
How much white paint?
Answer:
150 cups, 200 cups, and 50 gallons Step-by-step explanation:
These points are linear.
Find the slope.
x -2 -1 0 1 2
y -7 0 7 14 21
Answer:
7
Step-by-step explanation:
use the equation y2 - y1/ x2 - x1 to find the slope
-7 - 0/-2 - (-1)
-7/-1
7
y = 7x + b
if you want to check we have to find the y-intercept
(i can also show how to find it if you want :D)
at a 911 call center, calls come in at an average rate of one call every two minutes. assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is received, it takes more than 3 minutes for the next call to occur.
Using the exponential distribution, it is found that there is a 0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this problem, the mean is of two minutes, hence the decay parameter is given by:
[tex]\mu = \frac{1}{2} = 0.5[/tex]
The probability that it takes more than 3 minutes for the next call to occur is given by:
[tex]P(X > 3) = e^{-0.5 \times 3} = 0.2231[/tex]
0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.
More can be learned about the exponential distribution at https://brainly.com/question/18596455
what is 32 divided by 616 please answer with step by step problem
Answer:
0.05194805194 rounded to the nearest tenth is 0.1
Help math math ASAP help
Answer:
y - 4 = -2(x - 5)
Step-by-step explanation:
point slope form is y-y1 = m(x-x1)
the original equation is given in slope intercept form y = mx + b
Parallel lines have equal slopes so from the given equation y = -2x-3
the slope m = -2.
Use the given point (5,4) as (x1, y1).
y - 4 = -2(x - 5)
Answer:
[tex]\displaystyle y - 4 = -2(x - 5)[/tex]
Step-by-step explanation:
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −2 remains as is as you proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = -2(x - 5)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
How many milliliters are there in 8 liters?
Group of answer choices
Which lists all the factors of 20? *
1 point
2, 4, 5
20, 40, 60
1, 2, 4, 5, 10, 20
5, 10, 15, 20
Answer:
C
Step-by-step explanation:
A is incorrect because it doesn't list all of the factors of 20.
B is incorrect because it is listing the multiples of 20.
D is incorrect because is doesn't list all of the factors of 20.
prove that -
[tex] \sin {}^{2} (\theta) + \cos {}^{2} (\theta) = 1[/tex]
ty !
Answer:
Step-by-step explanation
There are many ways to prove this identity. But, I will use the simplest one. If you have a right triangle, the length of the horizontal side is x, the length of the vertical side is y, and the hypotenuse is r. So, the relation between x and r can be written in cosine form:
[tex]\cos\theta=\frac{x}{r}[/tex]
The relation between y and r can be written in sine form:
[tex]\sin\theta=\frac{y}{r}[/tex]
Pythagoras told you that for the right triangle [tex]x^{2}+y^{2}=r^{2}[/tex] should be satisfied. Substitute x and y from the cosine and sine form:
[tex](r\cos\theta)^{2}+(r\sin\theta)^{2}=r^{2}[/tex]
[tex]r^{2}\cos^{2}\theta+r^{2}\sin^{2}\theta =r^{2}[/tex]
the square of r will cancel out, and you can get your identity:
[tex]\cos^{2}\theta+\sin^{2}\theta=1[/tex]
classify the following triangle
Answer:
acute and icosceles
Step-by-step explanation:
If a circle is inscribed in a square, then the diagonal of the square contains a diameter of the circle.
a) Always
b) Sometimes
c) Never
Answer: C
Step-by-step explanation:
The side length is equal to the diameter, not the diagonal.
What is 40, percent of 10?
Answer:
Question: What is 40, percent of 10?
Answer: 4
Suppose that 12% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Answer:
Probability of owning one dog;
12/100 = 0.12
Probability of owning 2 dogs;
0.12 x 0.12 = 0.0144, but we make it a percent so:-
1.44%, there is a 1.44% probability that they both own a dog.
What is the best first step if your plan is to find the exact value of cos 75°using the Cosine Angle Sum Identity?
Step-by-step explanation:
the best first step is to I identify (a+b) within the arguement which equal to 75. also, the values of cos or sin of these numbers should be known. in this case the numbers are 30 and 45 as their sum equates to 75.
comment if you need any further guidance.
If f(x) = − 5, what is f(8.6)?
1.) 3
2.) 4
3.) 8
4.) 9
Answer: It's 2.) 4 is the answer
Two minor league baseball players got a total of 360 hits. Washington had 14 more hits than Sanchez. Find the number of hits for each player.
Question content area bottom
Part 1
Washington had enter your response here
hits. Sanchez had enter your response here
hits.
Answer:
denote the number of hits that sanchez had with since washington had 18 more hits than sanchez we can say that washington had + 18 hits.
since the total number of hits is 308 we can write
+ ( + 18) = 308.
This is an equation for finding .
2 + 18 = 308
2 = 290
= 145.
so sanchez had 145 hits.
to find the number of hits by washington add 18:
+ 18 = 145 + 18 = 163.
Answer: sanchez had 145 hits and washington had 163 hits.
Step-by-step explanation:
Please help! Geometry Dilations, Similar triangles & proportionality
9514 1404 393
Answer:
? = 8
Step-by-step explanation:
The parallel lines divide the segments proportionally:
?/4 = 10/5
? = 4(10/5) = 8 . . . . multiply by 4
The missing length is 8.
a railroad inspects 360 railcars. if 95% passed, how many cars passed the inspection?
How long is the flashlight?
Answer:
what flashlight
Step-by-step explanation:
Answer:
Flashlight.
Step-by-step explanation:
Which FlashLight are you looking for? Here are some Names and Explanations for them.
As a very general estimate, a low-lumen flashlight (under 50 lumens) will run for about 20-50 hours. A flashlight with 50-150 lumens will run for about 6-12 hours on it's highest setting, and high lumen flashlight or headlamp (over 150 lumens) will run about 2-8 hours on their highest settings.
Also most averge about 3 - 10 Inches.