The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords is 30891577600
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A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14. A hiker in Africa discovers a skull that contains 72 % of its original amount of C 14 .
If the 72% of its original amount of C-14. Then the number of years will be 3285.
The complete question is attached below.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14.
Then the function is given below.
[tex]\rm N= N_0 \ e^{-kt}[/tex]
Where, N₀ is the initial amount of C - 14, t is the number of the years, k is constant that is 0.0001, and N be the amount of the C - 14 at t years.
[tex]\rm N= N_0 \ e^{-0.0001 \times t}[/tex]
We have N = 0.72N₀, the time will be
[tex]\rm 0.72N_0 = N_0 \ e^{-0.0001 \times t}\\\\\rm 0.72 \ \ \ \ = \ e^{-0.0001 \times t}[/tex]
Take log on both side, then we have
ln 0.72 = -0.001 × t × ln e
-0.33 = -0.001 × t
t = 3285 years
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Mary is running a marathon which is a total of 26 miles. She is running at a pace of 7.5 miles per hour and
has already run 8 miles. If she stays at the same pace, how much time in hours does she have left? (Round your answer to the nearest tenth)
===================================================
Explanation:
She has already ran 8 miles, so she has 26-8 = 18 miles left to go.
She runs at a pace of 7.5 mph, which means she has 18/(7.5) = 2.4 hours left to go.
I used the equation distance = rate*time, and solved for time to get time = distance/rate.
--------------------
Another approach:
Here's how you can use algebra.
x = time she has left in hours
7.5x = distance covered in those x hours
7.5x+8 = total distance
7.5x+8 = 26
7.5x = 26-8
7.5x = 18
x = 18/(7.5)
x = 2.4
4, 2.5, 1, -0.5, -2, , ,
which number is after -2
Answer:
The number after - 2 is - 3.5.
Step-by-step explanation:
Follow the pattern
Let the number be after -2
as in the question after 4 we have 2.5 then 1 and so on.
if we subtract 4 from 2.5 we get
2.5 - 4 = -1.5
similarly: 1 - 2.5 = -1.5
-0.5 - 1 = -1.5
and now
x -(-2) = - 1.5
x = - 1.5 -2
x = - 3.5
so the number after - 2 is - 3.5.
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Which of the following rational functions is graphed below?
-10
A. F(x)=
(x-1)(x+1)
X+1
B. F(x)=xx-1)
10
C. F(X) = XX+1)
x-1
x(x+1)
D. F(x) = (x+1)(x − 1)
X
Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, In the graph,
we can see that we have a vertical asymptote at x = -1.
Hence, This means that the denominator of the rational equation becomes zero when x = -1.
So the equation must be:
⇒ y = 1 / (x + 1)
Here, The denominator is x + 1, and as expected, it becomes zero when, x = -1.
Then, we conclude that the correct option is C.
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Please help me with my math
The value of z is 119° and the value of y is 28°.
What is corresponding angles?When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal, these angles are called corresponding angles.
If the given diagram is modified a bit it will look as shown below, the two angles will be 61° because the two angles are corresponding angles.
Now, since 61° and x lie on the same side of the line, therefore, the sum of the two angles will be,
61° + x = 180°
x = 119°
Also, the angles measured at 61° and (3y-23)° lie on the same side of the transversal, therefore, these two angles are corresponding angles. Thus,
61° = (3y-23)°
61 = 3y - 23
y = 28
Hence, the value of z is 119° and the value of y is 28°.
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What should be done to both sides to solve the equation?
Solve x-2=10
Answer:
add 2 to each side of the equation
Step-by-step explanation:
x-2=10
To solve for x, we need to add 2 to each side of the equation
x-2+2 = 10+2
x = 12
Solve for x (12x-7)/4=(5x+18)/3
Answer:
Step-by-step explanation:do i know u
Answer:
x= 5.8125
Step-by-step explanation:
Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]
Since we have one fraction equal to another fraction, we can cross multiply.
(12x -7)(3)= 4(5x +18)
Expand:
36x -21= 20x +72
Bring all the x terms to one side, constant to the other:
36x -20x= 72 +21
Simplify:
16x= 93
Divide both sides by 16:
[tex]x= \frac{93}{16}[/tex]
x= 5.8125
Additional:
Here is a similar question which you may wish to check out
https://brainly.com/question/18219612Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.
The slope of the line in its simplest form is 3.
The slope of a line is [tex]Slope=\frac{Rise}{Run}[/tex].
We need to find the slope of the line in its simplest form.
What is the slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.
Select any two points on the line like A and B.
From the below figure it is clear that
Rise = Change in y = -2-(-5) = 3
Run = Change in x = 9-0 = 9
Now, [tex]\frac{9}{3} =3[/tex]
Therefore, the slope of the line in simplest form is 3.
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Sam and Joe are working to solve 6 divided 1/4 Sam thinks the answer is 24. Joe thinks the answer is . Explain who is correct. Use a model to help explain your thinking.
Answer:
Sam is correct
Step-by-step explanation:
6 divided by 1/4.
This is asking how many times can 1/4 go into 6? This might be a calculation needed if Sam brought 6 pies to the party of 24 people. How should Sam cut the pies so that each person gets an equal share, and there is none left over. This is a serious issue because Sam only knows how to cut pies into quarters. He always gets confused when having to split a pie into 5, 6, 7, 8 or even 9 equal pieces. Sam decided that if he cuts the pies into quarters, that he'll have exactly 24 pieces of pie, all equal in size, and exactly enough to feed everyone.
Sam says 24 is wrong. I don't see the figure that Sam has in mind, but it apparently is not 24.
When a pie is cut into quarters, it will serve 4 people. If one has 6 pies, and everyone takes only one slice, then there would be 4 x 6 or 24 pieces of pie, exactly what is needed: one for each person.
a man is 18 years older than his son. 3 years ago he was 4 times as old as his son how old is the man now
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
Consider the ordered pairs (1, 4), (–1, 2), and (0, 3). Which of the four equations below could have been used to generate these three ordered pairs? A. y = x + 3 B. y = –x – 6 C. y = – x + 3 D. y = – x – 3
The equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3
How to determine the equation?The ordered pairs are given as:
(1, 4), (–1, 2), and (0, 3)
From the above ordered pairs, we can see that the difference between the x and y values is 3.
This means that:
y - x = 3
Add 3 to both sides
y = x + 3
Hence, the equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3
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If a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml?
7.7278 g/ml is the most accurate density of the substance.
What is density?It is define as the quantity per unit volume, unit area, or unit length.
i.e. the mass of a substance per unit volume.
Mathematically,
[tex]\rho =\frac{m}{v}[/tex] ----- equation (1)
Where,
p is the density
m is the mass
v is the volume
According to the question,
Mass = 27.82 grams
Volume = 3.6 ml
By substituting the Value of m and v in equation 1.
[tex]\rho =\frac{27.82}{3.6}[/tex]
[tex]\rho = 7.7277777 g/ml[/tex]
Therefore,
The most accurate density of the substance in g/ml is 7.7277777 g/ml.
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Which equation represents a side that is perpendicular to side d? O y = 2x+5 Oy=-2x+5 NG 0 Y=2x-5/2 OY--12-12 = Which equation represents a side that is perpendicular to side d ? O y = 2x + 5 Oy = -2x + 5 NG 0 Y = 2x - 5 / 2 OY -- 12-12 =
The equation represents a side that is perpendicular to side d is y = -2x+5. Option B is correct.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The given linear equation in the problem is;
y = 2x+5
Compare the equation with the standard equation;
[tex]\rm y = mx+ c[/tex]
where,
m is the slope and c is the intercept. After comparing, we will get; Hence, the slope and y-intercept will be;
m = 2
The product of the slope of the two-line perpendicular to each will be -1.
m₁×m₂ = -1
The equation represents a side that is perpendicular to side d is;
y = -2x+c.
m₁=2
m₂=-2
m₁×m₂ = -1
The equation represents a side that is perpendicular to side d is y = -2x+5.
Hence, option B is correct.
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Find the slope of every line that is parallel to line on the graph (0,-3) (5,-4)
The slope of the line parallel to the line on the graph (0,-3) (5,-4) is - 1 / 5
How to find the slope of a parallel lines?Parallel lines have the same slope.
Therefore,
slope = m = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = 0
x₂ = 5
y₁ = -3
y₂ = -4
Therefore,
slope = -4 - (-3) / 5 - 0
slope = -4 + 3 / 5
slope = - 1 / 5
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PLEASE HELP 15 POINTS
Answer:
B
Step-by-step explanation:
Used elimination method.
first plugged in (0,0)which remove A,D
than saw the line is not solid so chose B
Hi can I have help on this question with a simple explanation as I find things difficult to understand. Thank you :)
Step-by-step explanation:
Line L → 2x - 3y = 6
Where a = 2 and b = -3
• So, we can use this formula to find the gradient of Line L.
m = -a/b
m = -2/-3
m = 2/3 IS THE ANSWER
Answer:
gradient = 2/3
Step-by-step explanation:
Here is another way....manipulate the equation to y = mx+ b form
where m = slope ( gradient)
2x - 3y = 6 add 3 y to both sides
6 + 3y = 2x subtract 6 from both sides
3y = 2x - 6 divide by 3
y = 2/3 x - 2 gradient = 2/3
If a is a negative number, then a
always, always
and b is a negative number, then product ab is ?
Answer:
if a and b are both negative numbers, the product is a positive number
Which are true about the pyramid? Check all that apply.
The base of the pyramid is a square with four sides, each measuring 756 feet.
The slant height of the pyramid is 612 feet.
The slant height of the pyramid is 756 feet.
All four triangular faces are congruent.
All four triangular faces are not congruent.
The pyramid has four lateral faces.
The statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Properties of a Square pyramidFrom the question, we are to determine the statements that are true about the pyramid
The diagram shows a square pyramid,
The length of a side of its base is 756 ft
and
The height / altitude of a triangular face is 612 ft
Since the pyramid is a square pyramid,
Then, the base must be a square with each side measuring 756 feet
∴ The first statement is true
Since the height of a triangular face is 612 ft,
Then,
∴ The slant height of the pyramid is 612 feet
NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face
Thus, the second statement is true
Since the triangular faces each have a base of 756ft and a height of 612 ft,
Then,
All four triangular faces are congruent
∴ The fourth statement is true
NOTE: Lateral sides of a solid are the faces on the sides of the shape
The pyramid has four lateral faces which are each a triangle
∴ The last statement is true
Hence, the statements that are true about the pyramid are
The base of the pyramid is a square with four sides, each measuring 756 feet.The slant height of the pyramid is 612 feet.All four triangular faces are congruent.The pyramid has four lateral faces.Learn more on Pyramid here: https://brainly.com/question/10042135
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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Find the length of side xx in simplest radical form with a rational denominator.
Answer:
the answer pf x its 15
by adding the middle sum to 90 degreess and by dividing 6 and 90 you get 15
The polynomial p(x)=1-2x^2-3x^3+4x has what order?
In triangle PQR, find the measure of angle Q.
P= 64 degrees
Q= X
R= 2x
Answer:
38.667°
Step-by-step explanation:
the total sum of 3 angles in a triangle is 180
in triangle PQR this means:
P+Q+R = 180
so:
64+x+2x=180
64+3x=180
3x=116
x=116/3=38.667
So Q=X=38.667
The graph of g(x) is the result of translating the graph of f(x) = 3 ^ x six units to the rightWhat is the equation of g(x)
Answer: [tex]g(x) = 3^{x-6}[/tex]
Step-by-step explanation:
Think about it like doing
x - 6 = 0
x = 6
That is how you know that it will be shifted 6 units right (how you can tell the difference between right and left shift)
Name the relationship between x and y:
Answer:
They are the same angle.
Step-by-step explanation:
We have a diagonal line and two 180° parallel lines running through it. The x and y values should be identical because of the placement. The diagonal on the right and right above the 180° angle.
Option 2: Corresponding angles.
Hope this helps!
If not, I am sorry.
determine whether the given graph is a function or not.
Answer:
Function
Step-by-step explanation:
Yes, the graph is a function. For each x value, there is a unique y value that corresponds with it.
A graph can also be tested as a function by using the popular "vertical-line test".
Question 7 of 25
If f(x)=6x²,-4 and g(x)=2x+2, find (f- g)(x).
OA. 2x-5x2-2
OB. 6x²-2x-6
OC. 4x²-6
O D. 6x²2-2x-2
Answer:
x2
Step-by-step explanation:
x2
Which point on the y-axis is on the line that passes through point R and is parallel to line PQ?
(0, Two-thirds)
(0, 4)
(Two-thirds, 0)
(4, 0)
Answer:
The answer would be (0, 2/3) or (0, Two-thirds)
Answer:
0, 2/3
Step-by-step explanation:
A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters
The area of the swimming pool on the scale drawing will be 300 sq. centimeters.
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,
40 meters = 40/2 centimeters = 20 centimeters
The width of 30 meters one scale drawing will be equal to,
30 meters = 30/2 centimeters = 15 centimeters
Now, the area of the swimming pool on the scale drawing will be,
Area= 20 centimeters × 15 centimeters = 300 sq. centimeters
Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.
The complete question is:
A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?
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does this table represent a function? why or why not x:2,2,3,4,5 y:1,4,4,2,5
Answer:
No, the table does not represent a function.
Step-by-step explanation:
By definition, a function will not have 2 or more results for the same input.
The table shows two values of y for the same x: (2,1) and (2,4). The same input, 2, results in two different values, 1 and 4.
See attached image.
Which quadrilateral has exactly one pair of parallel sides?
a) rhombus
b) kite
c) trapezoid
d) parallelogram
Answer:
trapezoid
the horizontal side lengths wont touch each other if you extend them out