The solution of a system of equation f(x) = |x + 1| - 4, and g(x) = -2·x + 3 obtained from the graph is (0, -3)
What is a system of equation?A system of equation comprises of the same variables that work together
The solution of a system of equation can be obtained graphically by the point of intersection of the graphs of the equation in the system
The specified functions are;
f(x) = |x + 1| - 4
g(x) = -2·x - 3
The solution of the function can be obtained as follows;
|x + 1| - 4 = -2·x - 3
|x + 1| = -2·x - 3 + 4
x + 2·x= -1 - 3 + 4 = 0
3·x = 0
x = 0
When x = 0, we get;
f(0) = |x + 1| - 4 = |0 + 1| - 4 = -3
g(0) = -2 × 0 - 3 = -3
The solution is therefore, (0, -3)
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TRUE/FALSE When inserting a value into a partially-filled array, in descending order, the insertion position is the index of the first value smaller than the value.
The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.
What is partially filled array?
A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.
When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.
For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].
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how many gallons of a 16%-salt solution must be mixed with 4 gallons of a 25%-salt solution to obtain a 20%-salt solution?
The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.
Let us consider 'x' be the salt solution of 16%
And 'y' be the salt solution with 25%
Total gallons of salt used is equal to 4 gallons
Required salt solution = 20%
Equation formed as per given information :
16% of x + 25% of 4 = 20% of ( 4 + x )
⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )
⇒ 0.16x + 1 = 0.8 + 0.20x
⇒ 0.20x - 0.16x = 1 - 0.8
⇒ 0.04x = 0.2
⇒ x = 0.2 / 0.04
⇒ x = 20 / 4
⇒ x = 5 gallons
Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.
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Find the sum of E = [3 4 7] and the additive inverse of G = [-2 0 5].
Answer:
[ 5 4 2 ]
Step-by-step explanation:
Rachelle buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy. Rachelle now has only 1/3 of the same amount of money that she had before she bought the drink. How much money did Rachelle have before she bought the drink?
Answer:
$1.80
Step-by-step explanation:
2/3x = 1.2
x = 1.2 / (2/3)
x = 1.2 * (3/2)
x = 1.80
find any 4 rational numbers between -1/2 and 1/2
Answer:
Step-by-step explanation:
Multiply the numerator and denominator of rational numbers by 5
\(\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}\)
How to do this question plz answer me step by
Answer:
481.92
Step-by-step explanation:
First find the increase
466.98 * 3.2%
466.98 * .032
14.94336
Add this to the original amount
466.98+14.94336
481.92336
Round to 2 decimal places
481.92
Help me please i need a solution .
Answer:
1. 0.75 (terminating decimal)
2. 0.54..... (non-terminating decimal)
3. 0.1875 (terminating decimal)
4. 0.25 (terminating decimal)
5. 0.166.... (non-terminating decimal)
How many hours of gaming a day is healthy?
Maximum two hours of gaming a day is healthy.
What is meaning of healthy?
Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."
Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.
The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.
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Suppose two firms are deciding how much of a good to produce. The inverse demand function is p(y1 + y2) = 100 − 2(y1 + y2). Suppose further that the two firms have production costs of c1(y1) = 2y1 and c2(y2) = 4y2, respectively.
1. Suppose that Firm 1 gets to choose output y1 first, and then Firm 2 gets to decide y2 after observing y1 (the Stackelberg case). What are the equilibrium production choices yˆ , yˆ ? What profit does each firm make?
2. Suppose now that Firm 1 and Firm 2 choose outputs simultaneously. What are the equilibrium production choices yˆ , yˆ ? What profit does each firm make? Which firm is better off, and which firm is worse off in this setup than the Stackelberg case above?
In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78) and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case.
1. In the Stackelberg case, let Firm 1 choose output y1 first, and then Firm 2 decides y2 after observing y1. Firm 1 is the leader and Firm 2 is the follower. Thus, the optimization problem for Firm 2 is as follows:
Max p(y1 + y2) * y2 - c2(y2), where y1 is chosen by Firm 1.
Thus, the profit function of Firm 2 is Π2(y1, y2) = (100 − 2(y1 + y2))y2 − 4y2
= (100 − 2y1 − 2y2)y2
Differentiating with respect to y2, we obtain:
∂Π2(y1, y2) / ∂y2 = 100 − 2y1 − 4y2
Setting this equal to zero, we obtain:
50 − y1 = 2y2
Thus, Firm 2's best response function is: yˆ2(y1) = (50 − y1)/2
Now, Firm 1 knows that Firm 2 will choose yˆ2 given that it already chose y1.
Firm 1 chooses y1 to maximize its own profit, which is:
Π1(y1) = (100 − 2(y1 + yˆ2(y1)))y1 − 2y1
= (100 − 2y1 − 25 + 0.5y1)y1
= (75 − 1.5y1)y1
Differentiating with respect to y1, we obtain:
∂Π1(y1) / ∂y1 = 75 − 3y1
Setting this equal to zero, we obtain:
y1 = 25
Thus, yˆ1 = 25, and yˆ2 = (50 − y1)/2 = 12.5.
The profit of Firm 1 is Π1(y1) = (75 − 1.5y1)y1 = 562.5, and the profit of Firm 2 is
= Π2(y1, y2)
= (100 − 2y1 − 2y2)y2
= 156.25.2.
In the simultaneous-move case, the optimization problem for Firm 1 is as follows:
Max p(y1 + y2) * y1 - c1(y1) - c2(y2)
Similarly, the optimization problem for Firm 2 is: Max p(y1 + y2) * y2 - c1(y1) - c2(y2)
These two problems can be combined into a single problem by substituting
p(y1 + y2) = 100 − 2(y1 + y2) and
c1(y1) = 2y1 and c2(y2) = 4y2.
Thus, the profit function of each firm is:
Π1(y1, y2) = (50 − y1 − y2)y1Π2(y1, y2) = (50 − y1 − y2)y2
The first-order conditions for maximizing these profit functions are:
= ∂Π1(y1, y2) / ∂y1
= 50 − 2y1 − y2
= 0
∂Π2(y1, y2) / ∂y2 = 50 − y1 − 2y2 = 0
Solving these equations simultaneously, we obtain:
y1 = 16.67, y2 = 16.67, and Π1(y1, y2) = Π2(y1, y2) = 277.78.
Comparing this to the Stackelberg case, we see that both firms are worse off in the simultaneous-move case. In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78), and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case. Thus, Firm 1 is better off in the Stackelberg case, and Firm 2 is worse off.
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Use the Pythagorean Theorem to determine the lengths of QT and RS Show your work
(HURRY I WILL GIVE BRAINLEST)
To determine the lengths of QT and RS using the Pythagorean Theorem, we need additional information such as the lengths of the other sides or the measurements of angles in the triangle. Without this information, we cannot accurately calculate the lengths of QT and RS.
The Pythagorean Theorem 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. However, in the given question, we are not provided with any measurements or information about angles in the triangle or the lengths of the other sides.
Therefore, without additional information, we cannot determine the lengths of QT and RS using the Pythagorean Theorem.
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Most employers require their prospective employees to take a drug test. If the employee tests positive, that means the person uses illegal drugs. According to research (https://www.cbsnews.com/news/drug tests-not-immune-from-false positives/e), not all people that test positive actually use illegal drugs. Assume that 6% of prospective employees actually use illegal drugs. The false positive rate is 5% (person does NOT use illegal drugs, but they test positive), The false negative rate is 10% (person DOES use illegal drugs but they test negative), Draw and label a tree diagram (30 points) and answer the question below (MAKE SURE TO SHOW ALL WORK: (20 points) What percent of prospective employees who test positive actually use illegal drugs? Upload Choose a File
Approximately 53.47% of prospective employees who test positive actually use illegal drugs.
we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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I hate algebra so much, any help?
Answer:
x= -1
Step-by-step explanation:
Hope this helped. <3
Answer:
X=-4
Step-by-step explanation:
3x-8=2X(x-6)
3x-8=2x-12
3x-2x=-12+8
x=-4
If x = -2, what is the value of y, that makes the equation, y = 2x + 3, true? Explain how you know.
Answer:
Y is equals to negative 1.
Step-by-step explanation:
y = 2x + 3
y =2(-2)+ 3
y =-4+ 3
y=-1
write an equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3
The equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3.
We are given that;
Point= (-4,1)
Equation y= -1/2x + 3
Now,
To find the y-intercept, we can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point on the line. Substituting the values we have, we get:
y - 1 = 2(x - (-4))
Simplifying and rearranging, we get:
y = 2x + 9
Therefore, by the given slope the answer will be y= -1/2x + 3.
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14.36 subtracted by 15.12 ?
Answer:
-0.76
Step-by-step explanation:
Answer:
-0.76
Step-by-step explanation:
this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76
to test joint linear hypotheses in the multiple regression model, you need to a. compare the sums of squared residuals from the restricted and unrestricted model. b. use the heteroskedasticity-robust f-statistic. c. use several t-statistics and perform tests using the standard normal distribution.
Answer: To test joint linear hypotheses in the multiple regression model, you need to use the heteroskedasticity-robust f-statistic. Option (b) is correct.
What is Multiple Regression?
Multiple Regression is a method that allows you to study the connection between two or more variables. By analyzing the impact of one independent variable on a dependent variable, multiple regression can assist in uncovering the relationships between variables. The equation for multiple regression can be expressed as:
Y = b0 + b1X1 + b2X2 + ... + bnXn + e
Where:
Y is the dependent variableX1, X2, ... Xn are the independent variables
b0 is the intercept
bn is the slope is the residual.
The most often used method of multiple regression is Ordinary Least Squares (OLS).
This method minimizes the sum of the squares of the residuals to determine the coefficients that provide the best estimate of the population parameters. The heteroskedasticity-robust f-statistic is used to test joint linear hypotheses in the multiple regression model. It is a modification of the original F-test that accounts for the potential heteroskedasticity of the error terms. By utilizing this method, it can lead to more robust conclusions and a more precise estimation of the population parameters.
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We call a number special if every digit in the number either is a 1 or borders a 1. For example, 11111, 13, 141, 1441, 515151, and 101 are all special, but 10001, 222, 122, and 1333 are not special.
Any two-digit number beginning with a 1 is unique (and all special numbers have at least one 1). There are nine 2-digit numbers with the ones digit 1, and nine more 2-digit numbers with the tens digit 1 (except for 11, which has already been included because its ones digit is 1). As a result, there are 9+9=18 exceptional two-digit numbers.
What is special number called?
When the total of the factorial of digits equals the original number, the number is known as a special number (given number).Another special number is to add twice the tens digit to the units digit, then add this to the product of the digits to go back to the original number. So you already know that the second digit in a two-digit number is always 8.If all of the digits in a number are the same, we call it a special number. Special numerals include 1, 11, 1111, and so on. The special numbers are counted in the following order: 1, 11, 111, 1111, 2, 22, 222, 2222, 3, 33, 333, 3333, and so on.To learn more about special numbers visit:
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What accountants and auditors do?.
Accountants and auditors create and review financial records, spot possible risk and opportunity areas, and provide individuals and organisations solutions. They guarantee the accuracy of financial records, the assessment of data and financial risks, and the correct payment of taxes.
Accountants;-
An accountant is a specialist who manages bookkeeping and organises the financial records you use to run your company, including balance sheets, profit and loss statements, and more. They simplify all the financial jargon associated with running a business, audit your records, create reports for tax purposes, and more.
Auditors;-
An organization's audit is to be conducted by an auditor, who may be an individual or a company. An audit is a planned, methodical procedure that involves looking over books, records, accounts, or other documentation.
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find f(a), f(a h), and the difference quotient f(a h) − f(a) h , where h ≠ 0. f(x) = 5 − 3x 4x2
The difference quotient (f(a + h) - f(a)) / h = 8a + 4h.To find f(a), f(a + h), and the difference quotient f(a + h) - f(a) / h, we substitute the given function f(x) = \(5 - 3x + 4x^2\) into the expressions.
1. f(a):
To find f(a), we substitute 'a' into the function:
f(a) = \(5 - 3a + 4a^2\)
2. f(a + h):
To find f(a + h), we substitute 'a + h' into the function:
f(a + h) = \(5 - 3(a + h) + 4(a + h)^2\)
Expanding the terms:
f(a + h) =\(5 - 3a - 3h + 4(a^2 + 2ah + h^2)\)
Simplifying further:
f(a + h) =\(5 - 3a - 3h + 4a^2 + 8ah + 4h^2\)
3. Difference quotient (f(a + h) - f(a)) / h:
To find the difference quotient, we subtract f(a) from f(a + h) and divide by 'h':
(f(a + h) - f(a)) / h =\([5 - 3a - 3h + 4a^2 + 8ah + 4h^2 - (5 - 3a + 4a^2)] / h\)
Simplifying further:
(f(a + h) - f(a)) / h =\((5 - 3a - 3h + 4a^2 + 8ah + 4h^2 - 5 + 3a - 4a^2) / h\)
Combining like terms:
(f(a + h) - f(a)) / h =\((8ah + 4h^2) / h\)
Canceling out the 'h' terms:
(f(a + h) - f(a)) / h = 8a + 4h
Therefore, the expressions are:
- f(a) = \(5 - 3a + 4a^2\)
- f(a + h) = \(5 - 3a - 3h + 4a^2 + 8ah + 4h^2\)
- The difference quotient (f(a + h) - f(a)) / h = 8a + 4h
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SOMEONE HELP PLEASE
WILL GIVE PERSON WHO IS RIGHT BRAINLIST
Step-by-step explanation:
ur ans n fine me brainlist!
Jay has an album that holds 900 photos. Each page of the album holds 9 photos. If 64 % of the album is empty, how many pages are filled with photos?
well 9+10=21
Step-by-step explanation:
21Answer: 21
Step-by-step explanation:
Samuel used clay to make a diorama of the pyramids
in Ancient Egypt. He made two triangular pyramids
and three rectangular pyramids. How much clay did he us to create all the pyramids?
A 28 cm3
B 84 cm3
C110 cm3
D 140 cm3
The clay used by Samuel to create two triangular pyramids and three rectangular pyramids is 140 cm³
Volume of rectangular pyramid = 1/3 × base area × height
Volume of rectangular pyramid = 1/3 × 14 ×6
The volume of rectangular pyramid = 28 cm³
Volume of triangular pyramid = 1/3 × base area ×height
Volume of triangular pyramid = 1/3 ×12×7
The volume of triangular pyramid = 28 cm³
He made two triangular pyramids and three rectangular pyramids
= 2 × 28 + 3 × 28
= 140 cm³
The clay used to make two triangular pyramids and three rectangular pyramids is 140 cm³
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The question is incomplete the complete question is :
Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he us to create all the pyramids?
A 28 cm3
B 84 cm3
C110 cm3
D 140 cm3
Question 5
BLUEPRINTS Ezra is redrawing the blueprint shown of a stage he is planning to build for his band. By what percentage should he multiply the
dimensions of the stage so that the dimensions of the image are the size of the original blueprint? What will be the perimeter of the updated
blueprint?
10 units
LF
4 units
8 units
%; The perimeter of the updated blueprint will be
10 units
2 units
units.
The perimeter of the updated blueprint would be = 62units.
How to calculate the perimeter of the blueprint?The percentage that she can use to multiply the dimensions of the stage so that the dimensions of the image is half the size of the original blueprint would be = 50%.
To calculate the perimeter of the blueprint is to add the sides of the whole blue print that was given. That is;
= 10+4+2+4+2+4+10+2+2+8+2+2
= 62 units.
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How many roots do the functions have in common?
f(x)=x² - 4x - 5
Choose 1 answer:
f and g share the same root(s).
f and g share one root in common but each have another root that
is not shared.
f and g share no roots in common.
Answer:
Step-by-step explanation:
To determine how many roots the function f(x) = x² - 4x - 5 has in common with another function, we need the equation of the other function. Without that information, we cannot determine the number of common roots. Please provide the equation of the other function, and I will be able to assist you further.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
the percentage of the original area of wetlands currently left in the united states is approximately: question 44 options: 10%. 25%. 50%. 65%. 75%.
The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct
option is 50% (option 3).
Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".
According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original
wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,
development, and urbanization. Therefore, the correct answer to the question is 50%.
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The percentage of the original area of wetlands currently left in the United States is approximately 50%.
Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.
There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.
Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.
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Simplify: the sum of 6.6 and 3.2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6. −11.64 −5.76 0.12 23.64
Answer:
23.64
Step-by-step explanation:
\(\frac{6.6+3.2}{5}\) × (2 - 5)² + 6
= \(\frac{9.8}{5}\) × (- 3)² + 6
= 1.96 × 9 + 6
= 17.64 + 6
= 23.64
The value of the (6.6 + 3.2)/5*(2-5)²+6 is 23.64
What is expression?An expression is a set of terms combined using the operations +, -, x or ÷, /
Given statement:
The sum of 6.6 and 3.2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6.
Now,
(6.6 + 3.2)/5*(2-5)²+6
=9.8/5*3²+6
=1.96*9+6
=17.64+6
=23.64
Hence, the value is 23.64.
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9.6 x 10^9 as a normal number
Answer:
9,600,000,000
Step-by-step explanation:
I am not sure it right but I hope it's helpful.
What values of x are solutions of the inequality x3 – 4x > 0?
Answer:
−4x+1≥0
Add −1 both sides we get
−4x+1−1≥0+(−1)
⇒−4x≥−1
Divided both sides by -4 we get
x≤
4
1
...... (i)
Also,
3−4x<0
Add −3 both sides we get
3−4x−3<0−3
⇒−4x<−3
Divided by −4 both sides we get
x>
4
3
...... (ii)
Then,
4
3
<x≤
4
1
which is not possible
Thus, there is no solution.
each user on a computer system has a password, which is 6 to 8 characters long, where each character is anuppercase letter or a digit. each password must contain at least one digit. how many possible passwords arethere?
The total number of possible passwords can be calculated by finding the number of possible combinations for each character position in the password and multiplying them together.
Since each character can be an uppercase letter or a digit, there are a total of 36 possible characters (26 letters + 10 digits). The number of passwords that do not contain any digits can be found by calculating the number of possible passwords with only uppercase letters (26 possible characters) and then multiplying it by the number of possible positions in the password (6 to 8 characters). Therefore, the total number of possible passwords is: 36⁶ + 36⁷ + 36⁸ - 26⁶ - 26⁷ - 26⁸
= 2,176,782,336 + 78,364,164,096 + 2,821,109,907,456 - 308,915,776 - 8,031,810,176 - 208,827,064,576
= 2,584,618,967,360
So there are a total of 2,584,618,967,360 possible passwords that meet the given criteria.
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When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7