A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the
gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
1. How many possible codes are there if the digits cannot be repeated?
There are
possible codes.
2. What is the probability that you will guess the correct code on your first try?
P(correct code) =
3. If the digits can be repeated, how many possible codes are there?
There are
different codes.
Answer:
Step-by-step explanation: 1. 5040 because 10x9x8x7
3. 10000 because 10^4=1000
1)There are 5040 possible codes are there if the digits cannot be repeated.
2)The probability that you will guess the correct code on your first try will be (1/5040).
3) Possible code = 10000 .
Given,
Numbers : 0 to 9
Here,
Total number of digit = 0,1,2,3,4,5,6,7,8,9
Given condition;
a)
Four digit card must be drawn;
The total possible ways there if the digits cannot be repeated will be;
⇒10×9×8×7
⇒5040
b)
The probability that you will guess the correct code on your first try is;
P(A) = n(A)/n(S)
Where,
n(A) is the event has the right code
n(S) is the total possible ways;
P(A) =1/5040
Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.
c)
If the gits can be repeated then we have 10 digits for each place :
Possible code = 10 * 10 * 10 *10
Possible code = 10000
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13. Find the values of x and y in the diagram below.
א
9
13
7
y
3
10
17
Answer:
x = 2
y = 4
Step-by-step explanation:
Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.
Add the 3 on its lower left to get 10.
so, 3 - x = 1. x = 2
17 - y = 13. y = 4
Find the radius of a circle with area 345 square centimetres
30 pts need in like 10 mins!!
Please say the answer like-
… divided by … = ……
Or
… times … = …..
Answer:
5.9
Step-by-step explanation:
It's because area is 345
Formula , A=πr2Find the √ of 34518.6=3.14×f2fR = 5.9please help! due very soon!
Answer:
{x | x = -6, -1, 0, 3}
(first option listed)
Step-by-step explanation:
The domain of a function is all possible x-values for that function
So, we can see (from the x-value portion of our table) that the possible x-values are:
-6 , -1, 0, and 3
We write domain and range in lowest - highest number value order, so we write our domain as such:
{x | x = -6, -1, 0, 3}
{range is all possible y-values, and this would include -7 , 1, 9, and -2}
hope this helps!!
AABC=AADC, LACB=143, AC=33 LACD=?
Answer:
I think the best answer is 143
Find two functions defined
implicity by this equation:
(x − 5)² − 3(y + 2)² = 4
Answer:
[tex] \frac{dy}{dy} = \frac{x - 5}{3y + 6} [/tex]
What is the solution to the linear equation?
-12 +3b-1-5-b
b=-2
b = -1.5
b = 1.5
b = 2
Answer:
[tex]b = 2[/tex]
Step-by-step explanation:
[tex]( - 12 - 1 - 5) + (3b - b) \\ - 18 + 2b \\ 2b - 18 \\ b = 2[/tex]
Simplify completely!!!
Answer:
h^24
Step-by-step explanation:
hope that helpssndbfbsb
Suppose that the electricity consumption in your home last month was 354 kWh. In your contract with the electricity company, you agreed to pay 11.3 cents per kWh. If you also have to pay a regular fixed charge of $15.63, determine the total amount due on your electricity bill.
The total amount due on the electricity bill is $55.64.
Here given that the last month's electricity consumption is 354 kWh
According to my contract with the electricity company, I agree to pay 11.3 cents per kWh.
So for 354 kWh of last month, I have to pay [tex]=11.3\times354=4000.2[/tex] cents
Now we know that 1 dollar = 100 cents
100 cents = $1
1 cent = [tex]\$\frac{1}{100}[/tex]
4000.2 cents [tex]=\$\frac{4000.2}{100}=\$40.002[/tex]
also, I have to pay a fixed charge of $15.63
So the total bill for last month will be [tex]=\$40.002+\$15.63=\$55.632\approx\$55.64[/tex]
Hence the total due amount on the electricity bill is $55.64 approximating the amount to the next two decimal place number.
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Given: angle 2 and angle 4 are vertical. Prove angle 2 congruent to angle 4
Need help quick!
The diagram shows that ∠2 and ∠4 are the vertical angles.
What are vertical angles?Vertical angles are the angles that are opposite of each other when two lines cross.
The statements are:
1. < 2 & < 4 are vert. angles
2. Lines M & N intersect at P
3. < 2 & < 3 are a linear pair
4. m < 2 + m < 3 = 180
5. <3 and < 4 are a linear pair
6. m < 3 + m <4 =180
7. m < 2 + m < 3 = m < 3 + m < 4
8. m < 2 = m < 4
9. < 2 =~ <4
Here are the reasons:
1. Given
2. Def of vertical angles.
3. Def of. Linear pair
4. Angle addition postulate
5. Def of a linear pair
6. Angle addition postulate
7. Substitution property
8. Subtraction property
9. Def of =~ angles.
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Answer: View the picture below!
Step-by-step explanation: Just did the assignment!
Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
A biologist has tracked the population of Antarctic penguins in a marine reserve since 2012. He represents the population with the rational function f(x)=15x+50/x+5, where is the number of years that have passed since 2012 and () is the number of penguins.
Is the point (11, 15) on the circle defined by (x-9)² + (y-15)² = 4?
O Yes
O No
help me pls i dont understand it
Answer:
Step-by-step explanation:
x×4=2x²(x-1)
2x³-2x²-4x=0
2x(x²-x-2)=0
x≠0
x²-x-2=0
x²-2x+x-2=0
x(x-2)+1(x-2)=0
(x-2)(x+1)=0
x=2
or
x=-1 (rejected)
Answer:
Step-by-step explanation:
Formula
The following relationship exists between the parts of each chord.
(x - 1)(2x^2) = 4*x
Solution
The easiest way to start is to divide both sides of the equation by x.
(x - 1)(2x^2)/x = 4x / x Divide by x
( x-1)(2x) = 4 Remove the brackets
2x^2 - 2x = 4 Subtract 4 from both sides
2x^2 - 2x - 4 = 4 - 4 Combine
2x^2 - 2x - 4 = 0 Pull out the common factor
2(x^2 - x - 2) = 0 Divide by 2
x^2 - x - 2 = 0 Factor
(x - 2)(x + 1)
Answer:
x can be 2 or x can be - 1 on paper. The x on the upper right prohibits that. A line can't have a length of - 1. So - 1 is called an extraneous solution.
The answer is x = 2
Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring and inside the other 30 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)
The probability that both of them have the secret decoder ring will be 0.1356.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Inside the box of every cereal box contains a surprise gift.
The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring.
And inside the other 30 boxes on the shelf contain a different gift.
If two cereal boxes are randomly selected from the shelf to purchase.
Then the probability that both of them have the secret decoder ring will be
The total events will be
Total event = ⁴⁸C₂
Total event = 1128
The favorable events will be
Favorable event = ¹⁸C₂
Favorable event = 153
Then the probability will be
P = 153 / 1128
P = 0.1356
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The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
Answer:
Both legs would be 20
Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.
I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.
A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.
help pls
Answer:
The answers are=
(38, 0)time in seconds(19, 1768.9)Heightin metersThe x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The graph of the parabolic path is shown in the picture.
From the graph:
The x-coordinate of the vertex is (38, 0)
The x-coordinate represents time in seconds
The y-coordinate of the vertex is (19, 1768.9)
The y-coordinate represents the height in meters
Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
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Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.
Among all the three ordered pairs no one lies on the graph of the function f(x)=[tex]-25^{x} +1[/tex].
Given The value of a function f(x)=[tex]-25^{x} +1[/tex]
If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.
Taking first ordered pair :(1,625)
value of x is 1 and value of y is 625.
we have to put in the function so
625=-[tex]25^{1}+1[/tex]
625 is not equal to -24 so it does not satisfy.
Taking second ordered pair :(0,-25)
-25=-25 raise to power 0 +1
-25 is not equal to 1 so it does not satisfy.
Taking third ordered pair: (-1,-1)
-1=-1/25+1
-1 is not equal to 24/25 so it does not satisfy.
Hence among all the ordered pairs none will lie on line of the given function.
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what are the intercepts of x^2 +8x+16
Answers:
x intercept = -4
y intercept = 16
The graph is shown below.
=======================================================
Explanation:
To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.
y = x^2 +8x+16
0 = x^2 +8x+16
x^2 +8x+16 = 0
(x+4)^2 = 0
x+4 = 0
x = -4
There's only one x intercept. It's located at the vertex of the parabola.
The location of the x intercept is the point (-4,0)
------------
To find the y intercept, we plug in x = 0 and compute like so:
y = x^2 +8x+16
y = (0)^2 +8(0)+16
y = 16
The y intercept is 16 which is located at (0,16)
Check out the graph below. It was made using the free app Desmos.
Urgent algebra 2 help needed
Answer:
The area for the trapezoid is
A=h/2(a+b)
A=8/2(10+15)
A=100 cm square
Hope it helps!
show how to simplify y-8 = 3/4x [x-(-6)]
To simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
How to simply the expressionGiven the expression
y-8 = 3/4x [x-(-6)]
First, expand the bracket
[tex]y - 8[/tex]= [tex]\frac{3}{4x^2 + 24x}[/tex]
Make 'y' the subject of formula
y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
Thus, to simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
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what is the equation
Answer:
[tex]y = \sin( \frac{2\pi}{3} x) [/tex]
Step-by-step explanation:
The equation of a sine function is y = a sin(bx), where a = amplitude (aka height) and b equals period (aka time). I'm assuming there isn't any information other than the graph shown, so let's assume that our amplitude is 1 and our period is 2pi/3. Plugging these values into the equation, we get:
[tex]y = (1) \sin(( \frac{2\pi}{3})x ) = \sin(\frac{2{\pi} }{3}x )[/tex]
Can someone please help me with this!!
Answer: -7
Step-by-step explanation:
[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]
14. What is the measure of ZABC in the image shown? OE A B 10x - 10 100 - 2x 2x + 10 C 14. What is the measure of ZABC in the image shown ? OE A B 10x - 10 100 - 2x 2x + 10 C
Answer: 110 degrees
Step-by-step explanation:
By the exterior angle theorem.
[tex]10x-10=100-2x+2x+10\\\\10x-10=110\\\\\therefore \angle ABC=110^{\circ}[/tex]
Please answer BOTH the questions xoxo <3
Answer:
First Image: Choice B
Second Image: Choice B
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
First Image:
In our equation, y = 0.1x + 1,
we see that the y-intercept of the line is 1 and the slope is 0.1
We can simple plug in the x values to test if the table is true:
x = -1
y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9
This proves choices A and C are INCORRECT
The next point is at x = 10
y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2
Making choice D INCORRECT
Hence, you've selected the correct choice (B)!
Second Image:
In our equation, y = 3x + 2,
we see that the y-intercept of the line is 2 and the slope is 3
Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2
Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2
6 = 3(4/3) + 2 → 6 = 4 + 2. → 6 = 6
3 = 3(1/3) + 2 → → 3 = 1 + 2. → 3 = 3
20 = 3(6) + 2 → 20 = 18 + 2. → 20 = 20
Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2
Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2
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)The width of a rectangle is shown below:
A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.
If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?
B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)
Answer: B(1, 3) and D(1, −2)
Step-by-step explanation:
The distance from A to C is 5, meaning we need the length to be 4.
If they lie to the right, we need to add 4 to the x coordinates, so the x coordinates should be 1, and the y coordinates should be 3 and -2.
The locations of B and D are given by (A) B(1,3) and D(1,-2).
The area of rectangle is given by the product of the length and width of that rectangle.
Area = Length*Width
Distance between two points (a,b) and (c,d) is given by,
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Here in the given question it is mentioned that AC forms width of a rectangle and A is at (-3,3) and C is at (-3,-2)
Now the width is [tex]=\sqrt{(-3-(-3))^2+(-2-3)^2}=\sqrt{0^2+(-5)^2}=\sqrt{25}=5[/tex] unit.
Also it is given that, the area of the rectangle is 20 square units.
So the length is = 20/5 = 4 units
B and D lie to the right of points A and C respectively.
We have to go 4 units right to the A to find B and 4 units right to C to find D.
A is at (-3,3)
then B is at (-3+4,3) = (1,3)
C is at (-3,-2)
So D is at (-3+4,-2) = (1,-2)
Hence correct option is (A) B(1,3) and D(1,-2)
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A recipe that makes 18 chocolate chip cookies calls for 2.5 cups of flour. How many cookies can you make if you have 3.75 cups of flour (and enough of the other ingredients)?
Answer:
27
Step-by-step explanation:
3.75/2.5x18=27
Write 1 3/5 as an improper fraction?
Order these numbers from least to greatest.
3.3661, 3.5, 3.36, 3.036
Answer:
3.036, 3.36, 3.3661 , 3.5
Step-by-step explanation:
Look at the first 2 numbers
3.3661, 3.5, 3.36, 3.036
We can order them as 3.0 , 3.3 , 3.3 . 3.5
So 3.036 is first one
Now we have 2 of the 3.3's
One is 3.3661 and the other one is 3.3600
Because if you add a number to the end it will always be a zero and it wont change the answer
So 3.36 is second and 3.3661 is third one
3.5 is bigger than 3.3
So 3.5 is last
Vector g is shown below.
Vector h is parallel to g, in the same direction and
half as long.
Work out h as a column vector.
9
Answer:
h = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]
Step-by-step explanation:
g = [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] , then
h = [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]
The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The function g is related to one of the parent functions g(x) = |x − 1| + 5.
Then the parent function f(x) will be
f(x) = |x|
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).
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