Answer:
3,360 different codes.
Step-by-step explanation:
Here we have a set of 8 numbers:
{0, 0, 1, 5, 8, 9, 9, 9}
Now we want to make an 8th digit code with those numbers (each number can be used only once)
Now let's count the number of options for each digit in the code.
For the first digit, we will have 8 options
For the second digit, we will have 7 options (because one was already taken)
For the third digit, we will have 6 options (because two were already taken)
you already can see the pattern here:
For the fourth digit, we will have 5 options
For the fifth digit, we will have 4 options
For the sixth digit, we will have 3 options
For the seventh digit, we will have 2 options
For the eighth digit, we will have 1 option.
The total number of codes will be equal to the product between the numbers of options for each digit, then we have that the total number of codes is:
N = 8*7*6*5*4*3*2*1 = 8!
But wait, you can see that the 9 is repeated 3 times (then we have 3*2*1 = 3! permutations for the nines), and the 0 is repeated two times (then we have 2*1 = 2! permutations for the zeros).
Then we need to divide the number of different codes that we found above by 3! and 2!.
We get that the total number of different codes is:
C = [tex]\frac{8!}{2!*3!} = \frac{8*7*6*5*4}{2} = 8*7*6*5*2 = 3,360[/tex]
3,360 different codes.
The number of eight digit code she can make is, 3360.
If any number have n digits, then number of ways it can be arranged = [tex]n![/tex]
Given that, Born date is, 08/05/1999
Total number of digits in birth date = 8
So, number of ways it can be arranged = [tex]8![/tex]
Since, In birth date 9 is three times and 0 is two times.
Therefore, number of arrangements = [tex]\frac{8!}{3!*2!}=3360[/tex]
Therefore, she can make 3360 eight digit codes from given birth date.
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someone please help meeee !! I would really appreciate it
Answer:
cos 25° = X/11
and
sin 65° = X/11
is this good enough or do you need more workings?
Answer:
C = 90°
Step-by-step explanation:
The interior angles in every triangle are equal to 180 degrees. So, this means that
[tex] \alpha + \beta + \gamma \\ = 180 \: degrees[/tex]
Which means that A + B +C = 180 degrees
A=25°
B = 65°
C =?
C = 180° - (A + B)
C = 180° - (25° +65°)
C = 180° - 90°
C = 90°
Pls I need to know!!
Please help me with this homework
Answer:
5m the last option is correct
Step-by-step explanation:
by phythagorean theorem
hypotenuse^2=base^2+altitude^2
hypotenuse ^2= (4)^2+(3)^2
=16+9
=25
taking square root on both isdes
hypotenuse=5 m
0.5w+3x,when w=6,x=5
Answer:
3 + 15 =
18
Step-by-step explanation:
0.5 x 6 =3
3 x 5 = 15
makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day
Suppose y varies directly with x, and y = 14 when x = 2. What direct variation equation relates x and y? What is the value of y when x = 6? Explain. Show your work
A. The equation y = 2x relates x and y. When x = 6, y =2(6) or 12.
B. The equation y = 14x relates x and y. When x = 6, y =14(6) or 84.
C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
Answer: C. The equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
Step-by-step explanation:
Using direct variation with the formula:
y = kx
Since y =14, when x = 2.
y = kx
14 = 2k
k = 14/2
k = 7
Therefore, y = 7x
The value of y when x = 6 will be:
y = kx
y = 6k
Recall that k = 7
y = 6 × 7
y = 42
Therefore, the equation y = 7x relates x and y. When x = 6, y =7(6) or 42.
5. The scatterplot below shows data for the nine french fry orders from the previous problem, with
the least-squares regression line displayed. Which of the following is the best estimate of the value
of the residual for the point indicated by the arrow?
620
560
calories
500
+
440
00
380
8 12 16 20 24 28 32 36
fat
(A) -570
(B) 570
(C)-60
(D) 60
(E) 630
Answer:
-60
Step-by-step explanation:
residual = actual - predicted = 570 - 630 = -60
For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34. What was the difference in scores between his 7th and 8th quizzes
Answer:
Difference in scores between his 7th and 8th quizzes = 22
Step-by-step explanation:
Given: Mean score for first 6 quizzes is 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34.
To find: difference in scores between his 7th and 8th quizzes
Solution:
Mean scores = Total points scored in quizzes ÷ Number of quizzes
So,
Total points scored in quizzes = Mean scores × Number of quizzes
As mean score for first 6 quizzes is 33 points,
Total points scored in 6 quizzes = 6 × 33 = 198
As mean score for first 7 quizzes is 32 points,
Total points scored in 7 quizzes = 7 × 32 = 224
So,
7th score = Total points scored in 7 quizzes - Total points scored in 6 quizzes
= 224 - 198
= 26
As mean score for first 8 quizzes is 34 points,
Total points scored in 8 quizzes = 8 × 34 = 272
So,
8th score = Total points scored in 8 quizzes - Total points scored in 7 quizzes
= 272 - 224
= 48
Therefore,
Difference in scores between his 7th and 8th quizzes = 48 - 26
= 22
A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?
Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.
area: about
cm2
Answer:
2513.27 my dear check if correct
Step-by-step explanation:
Answer:
it 628 i hope that helps you
Step-by-step explanation:
Finit set:
1+2+3+........+25=??
Answer:
Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.
In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.
The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).
Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.
Step-by-step explanation:
1+2+3+4+5+6..........23+24+25=325
Sally's huge dog weighed 175 pounds in 2018 and then weighed 145 pounds in 2020. What was the rate of change in weight?
pounds per year?
Answer: 15 lbs per year
Step-by-step explanation:
Huge dog lost 30 lbs in a span of 2 years so divide to find rate of change which is 15lbs per year
Answer: -15 pounds per year
Step-by-step explanation:
We can first list out all the information like Year, Weight
so (2018, 175) and (2020,145)
It asks to find the slope, so we just use the slope formula
175-145/2018-2020 = 30/-2 which is -15
please help me solve for x and find missing side lengths and angle measures,,
Answer: 90
Step-by-step explanatio
Answer:
the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet
them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.
Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
ahh problem/question in the image
Answer:
60 clockwise
Step-by-step explanation:
You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)
Answer:
2, 3, 5, 7
Step-by-step explanation:
They are all prime
Answer: 2,3,7,5
Step-by-step explanation:
2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself
how many yards are in 45 inches
Answer:
1.25
Step-by-step explanation:
Priya is simplifying the expression $$ Her work is shown to the left. Priya's work is incorrect. Explain the error she made
Step-by-step explanation:
P.S - The exact question is -
Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x Her work is shown to the left.
To find - Priya's work is incorrect. Explain the error she made.
Proof -
Priya simplified the problem as follows :
-2( 4 - 2x ) - 3 - 2x
-8 - 2x - 3 - 2x
-11 - 4x
But the simplification has to be like
-2( 4 - 2x ) - 3 - 2x
⇒-2(4) - 2(-2x) - 3 - 2x
⇒-8 + 4x - 3 - 2x
⇒-8 - 3 + 4x - 2x
⇒-11 + 2x
So, Priya made an error in the second line.
In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.
what is the equation of the line that passes through the point (-6,-5) slope of 3/2?
the roots of f(x)=-2x^2+8x+13 are __________and __________ the vertex of the parabola is at _________
Answer:
roots: 2 ± (1/2)√42
-8
axis of symmetry: x = -b/(2a) is x = ---------------- = 2
2(-2)
vertex: (2, f(2) ) = (2, -2(2)^2 + 8(2) + 13 ), or (2, 21)
Step-by-step explanation:
First, let's determine the roots of this quadratic, using the quadratic formula. Here the coefficients are -2, 8, 13.
Thus, the discriminant b^2 - 4ac is 8^2 - 4(-2)(13), or 64 + 104, or 168. Because the discriminant is positive, we know that there are two different real roots.
They are:
-8 ± √168 -8 ± 2√42
x = --------------------- or x = --------------------- = 2 ± (1/2)√42
-4 -4
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?
Answer:
(- 4, - 3 )
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
For
g(x) = f(x) + 3
This is the graph of f(x) shifted 3 units up
Given the vertex of f(x) = (- 4, - 6 ), then
vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )
help please lol :)))))))
Mark correct answer for wrong ones.
Except one needs to answers I haven't gotten to yet. Correct answer gets brainliest!
Answer: Can I see a better pic?
Step-by-step explanation:
Answer: D and C
Step-by-step explanation:
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
marking brianliest pls help
Answer:
117.3
Step-by-step explanation:
7*4=117.29=117.3
Find the area of the shape
Answer:
1725
Step-by-step explanation:
40 is the number of the slope the height is 30.
help with this question thx
Answer:
3.5ft
Step-by-step explanation:
In the dot plot above, the length of the coastline of each country in South America is shown in
thousands of kilometers (1000-km), rounded to the nearest thousand kilometers. According to
the dot plot, what is the mean length of coastline, in thousands of kilometers?
Answer:2
Step-by-step explanation:it’s the average
Answer:
2
Step-by-step explanation:
Given:
The length of coastline of each country in south America in thousands of kilometers.
To find:
The mean length of coastline, in thousands of kilometers
Explanation:
America is shown in thousands of kilometers so, using the given information
= 6(0) + 2(1) + 2(2) + 5(1) + 6(1) + 7(1)
= 30
= 30/15
= 2
Answer is 2 thousand kilometers
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Help please, i give brainlist
