Step-by-step explanation:
a = 33
b = 5
= a - 20/b
= 33 - 20/5
= 33 - 4
= 29
Simplify
\( \sqrt[2]{81x} \)
What is equivalent?
A. -9x
B. -9
C. \(9 \sqrt{x} \)
D. 9x
The equivalent square root for \(\sqrt[\sf 2]{\sf 81\text{x}}\) is \(\sf 9\sqrt{\text{x}}\).
What is a square root?In mathematics, a square root of a number x is a number y such that; in other words, a number y whose square (the result of multiplying the number by itself, or) is x.
Given the the square root, we need to find the equivalent square root for \(\sqrt[\sf 2]{\sf81\text{x}}\).
So,
Rewrite \(\sqrt[\sf 2]{\sf81\text{x}}\) as \(\sqrt{\sf9(\text{x})}\).
Then, pull terms out from under the radical, assuming positive real numbers.
\(\sqrt{\sf9(\text{x})}=\bold{9\sqrt{x}}\)
Therefore, The equivalent square root for \(\sqrt[\sf 2]{\sf 81\text{x}}\) is \(\sf 9\sqrt{\text{x}}\).
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the systems development life cycle is the traditional process used to develop information systems and applications. select one: true false
This statement is True. The Systems Development Life Cycle (SDLC) is a structured approach that outlines the stages involved in developing information systems and applications.
It is considered the traditional and widely accepted process for managing and guiding the development process.
The SDLC typically includes several key phases: requirements gathering and analysis, system design, development, testing, implementation, and maintenance.
Each phase has its specific objectives and deliverables, ensuring a systematic and controlled progression from conceptualization to the final product.
The SDLC provides a framework for project management, risk assessment, resource allocation, and quality control.
It emphasizes a structured and disciplined approach to ensure that information systems and applications meet the desired requirements, are thoroughly tested, and are implemented successfully.
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When a range of values is used to estimate a population parameter, it is calledA. a point estimateB. a statistical parameterC. a range estimateD. an interval estimate
When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.
What is interval estimate?An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.
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THIS IS DUE SOON PLEASE GIVE ME A HAND!! THANK YOU
Answer:
only one solulton and its 7
Step-by-step explanation:
x=7/2,y=7
2a + 2b = y
Solve for the variable, a
Answer:
A= y−2B/2
Step-by-step explanation:
Its in a fraction form
How much would Haiti’s balance be from account two over 3.4 years round to two decimal place
Solution:
Given:
Account 2 details:
Assume a year is 365 days;
\(\begin{gathered} P=\text{ \$}8100 \\ t=3.4years \\ r=5.1\text{ \%}=\frac{5.1}{100}=0.051 \\ n=365days \end{gathered}\)Using the compound interest formula to get the amount;
\(A=P(1+\frac{r}{n})^{nt}\)Hence, substituting the values;
\(\begin{gathered} A=8100(1+\frac{0.051}{365})^{365\times3.4} \\ A=8100(1+\frac{0.051}{365})^{1241} \\ A=9633.55 \end{gathered}\)Therefore, the balance in account 2 will be $9633.55
The area of a rectangular pool is 8342 m .
If the width of the pool is 86 m, what is its length?
Answer:
97 meters
Step-by-step explanation:
The area of a rectangle is its length multiplied by its width. Substitute the known values into this equation and solve for the length, l:
a = lw
8342 = 86l
l = 97
Brandon invested $11,000 in an account paying an interest rate of 1% compounded
quarterly. Robert invested $11,000 in an account paying an interest rate of 13/%
compounded monthly. After 20 years, how much more money would Robert have in
his account than Brandon, to the nearest dollar?
Answer: $4,914
Step-by-step explanation:
To calculate the final balance in Brandon's account, we need to use the formula for compound interest: A = P(1 + r/n)^(nt)
where A is the final balance, P is the initial investment, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have:
P = $11,000
r = 1% = 0.01
n = 4 (because the interest is compounded quarterly)
t = 20
so, A = $11,000(1 + 0.01/4)^(4*20) = $11,000(1.0025)^80 = $22,817.20
To calculate the final balance in Robert's account, we need to use the same formula, but with different values for r, n, and t.
In this case, we have:
P = $11,000
r = 13/100 = 0.13
n = 12 (because the interest is compounded monthly)
t = 20
so, A = $11,000(1 + 0.13/12)^(12*20) = $11,000(1.01083333)^240 = $27,731.34
To find the difference in the final balances, we subtract the final balance in Brandon's account from the final balance in Robert's account:
$27,731.34 - $22,817.20 = $4,914.14
To the nearest dollar, the difference is $4,914.
Answer:391
Step-by-step explanation:
The diagnols of sqaure LMNP intersect at K. Given that LK= 1, find MP.
if LK = 1, then MP =1, since the diagonals of a square are equal and intersect at the center of the square
This follows that KN = 1 and KP = 1
Therefore, MP = MK + KP = 1 + 1 = 2
Can someone please help?? Thank you soo much
Khadija would have to pay $27.8 (7.5 x 4 - 1.7) to buy 4 pounds of apples.
What is cost?Cost the monitorial associated with the purchase of production of food or service if can include the prices of materials of which is over it and other expenses that are related to the production of the good of service cost is a major fraction when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The expression for the cost to buy x pounds of apples is: 7.5x - 1.7, where x represents the number of pounds of apples purchased. For example, if Khadija wanted to buy 3 pounds of apples, the cost would be calculated by 7.5x - 1.7, which is equal to 22.6 dollars.
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for what value of k the equation 2x^2+3x+3k=0 has exactly one root
HURRY FIRST CORRECT ANSWER GETS BRAINLIEST
\(2x^2+3x+3k=0\)
2(x^2+3/2x+3/2k)=0
2(x^2+2(3/4)x+(3/4)^2)=0
to get a root
so, 3/2k=3/4
k=1/2
The value of k is 1/2.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given an equation as;
\(2x^2+3x+3k=0\)
So, we have;
\(2(x^2+3/2x+3/2k)=0\\2(x^2+2(3/4)x+(3/4)^2)=0\)
so, taking root we get
3/2k=3/4
k=1/2
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Which is the graph of linear inequality x - 2y 2-12?
Step-by-step explanation:
I think the last graph is your answer
The graph of the linear inequality x - 2y > -12 is the region above the line
y = 1/2x + 6, shaded to the right of the line.
Option D is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The linear inequality x - 2y > -12 represents all the points on the coordinate plane that satisfy the inequality.
To graph this inequality, we can start by graphing the line x - 2y = -12, which is the boundary line of the inequality.
To graph this line, we can rearrange it into the slope-intercept form:
x - 2y = -12
-2y = -x - 12
y = 1/2x + 6
Now we can graph the line y = 1/2x + 6 by plotting the y-intercept at (0,6) and using the slope of 1/2 to find another point.
We can do this by going up 1 unit and right 2 units from the y-intercept to get the point (2,7) and so on.
Therefore,
The graph of the linear inequality x - 2y > -12 is the region above the line
y = 1/2x + 6, shaded to the right of the line.
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Solve the perimeter of this shape
The perimeters of the two composite figures are listed below:
Case C: 50.913π mm
Case D: 20.310 cm
How to determine the perimeter of a composite figure
In this problem we find two composite figures, whose perimeter have to be found. Perimeter is the length of all borders of the figure. The first figure is formed two semicircles and the second figure is formed by two semicircles and two right triangles, whose perimeter formulas are:
Semicircle
s = π · r
Triangle
s = b + h + p
Where:
r - Radius, in length unit.b - Width, in length unit.h - Height, in length unit.p - Hypotenuse, in length unit.Case c - The perimeter of the shape is:
s = π · (28 mm) + π · (14 mm) + 28 mm
s = 50.913π mm
Case d - The perimeter of the shape is:
s = 2π · (1.8 cm) + 2 · (4.5 cm)
s = 20.310 cm
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Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following. Find f(x) + h(x)
The value of f(x) + h(x) when f(x) = 2x - 1 and h(x) = x² + 1 is x² + 2x.
Addition of linear functions:
Addition of two individual functions, a(x) and b(x); linearly, results in the formation of the functional addition, c(x) of the two functions, such as:
c(x) = a(x) + b(x) = (a+b)(x) – (i)
The addition of the functions strictly restricts to simple linear addition without any pre-defined constraints.
Given, f(x) = 2x - 1, g(x) = 3x and h(x) = x² + 1
Using the available formula in (i), we get
f(x) + h(x) = (f + h)(x) = (2x - 1) + (x² + 1) = x² + 2x = x(x + 2), which is a quadratic equation.
Thus, the required value of f(x) + h(x) is x² + 2x.
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Function f is defined by the equation f(x) = x2 1. What is f(2) ?
Answer:
42
Step-by-step explanation:
So you basically replace the x with 2. So f(x) = x21, then it would change to f(2) = 2(21). Then you would just multiply 21 by 2 and you would get 42.
Hope this helps!
Answer:
f=x21=x2f(2)=4
Step-by-step explanation:
Please help me!!! BTW this is I-ready level F!
6 letters x
Step-by-step explanation:
Let's denote a lottery as (X₁, P₁; X2, P2; ; Xm, Pm), where Xi and Pi indicate the reward magnitude = and probability of each potential outcome. A decision-maker prefers B ($5000, 1.00) to A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers C = ($25000, 0.04; $0, 0.96) to D = ($5000, 0.05; $0, 0.95). Prove that Expected Utility Theory cannot account for the preference. Note: you can assume that the initial endowment is $0 and the utility of $0 is zero.
Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.
Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.
If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.
Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as
(X₁, P₁; X2, P2; ; Xm, Pm),
where Xi and Pi indicate the reward magnitude and probability of each potential outcome.
A decision-maker prefers B ($5000, 1.00) to
A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers
C = ($25000, 0.04; $0, 0.96) to
D = ($5000, 0.05; $0, 0.95).
However, EUT cannot account for these preferences.
The utility of the three alternatives is calculated as follows:
U(B) = $5000
U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000
U(D) = 0.05 × $5000 + 0.95 × $0 = $250
However, the expected utilities of A and B cannot be compared.
These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.
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8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms
Answer:
Do you want the perimeter of this shape?
water makes up roughly what percentage of your total bodyweight
Water makes up roughly 60% of your total body weight. This means that if you weigh 150 pounds, about 90 pounds of that is water.
Water is essential for the functioning of our bodies. It plays a vital role in maintaining temperature, transporting nutrients and oxygen, and removing waste products. The percentage of water in the human body varies depending on factors such as age, sex, and body composition. On average, water makes up about 60% of an adult's total body weight. This percentage can be higher in infants and lower in elderly individuals.
For example, a person weighing 150 pounds would have approximately 90 pounds of water in their body. It's important to stay hydrated by drinking enough water to replenish the water that our bodies constantly lose through processes like sweating, urination, and breathing.
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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answer please fast fast fast
Answer:
9 is A 10 is D
not sure of the other two
Step-by-step explanation:
9 increases by 4 every time
10 increases by 7 every time
Answer:
9. A
10. D
11. D
12. A
Step-by-step explanation:
9. Look at the pattern; 6+4=10, 10+4=14, 14+4=18, 18+4=22.
10. Same thing for number nine.
11 & 12. Its just vocab
Select all expressions that are equivalent to 2( - 2x + 5) +x
1. 3x + 10
2. - 3x + 10
3. 4x + 10 + x
4. -4x + 10 + x
Answer:
2) -3x+10
4) -4x+10+x
Step-by-step explanation:
Use the distributive property to get rid of the parentheses.
(2 × -2x) + (2 × 5) + x
-4x + 10 +x is correct, but the x's can be combined.
(-4x + x) + 10 = -3x + 10
Gwen's science class is doing a fun experiment. Each student must make a parachute that can safely carry a raw egg from the school roof to the ground. On the day of the parachute experiment, Gwen's teacher gives 2 raw eggs to each student in the class. She gives out a total of 44 eggs.
Which equation can you use to find the number of students s in Gwen's class?
The equation that can be used to find the number of students in Gwen's class is 44 = 2s.
How to use equations to find the number of student?Each student must make a parachute that can safely carry a raw egg from the school roof to the ground.
On the day of the parachute experiment, Gwen's teacher gives 2 raw eggs to each student in the class.
She gives out a total of 44 eggs.
Therefore, the equation that can be used to find the number of students in Gwen's class is as follows:
let
s = number of students
Hence,
44 = 2s
s = 44 / 2
s = 22
There are 22 students.
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can you find matches, (the more the better)
Answer:
There is nothing here to help you with
Step-by-step explanation:
Step-by-step explanation:
where is your question???
(x+5)(x-4)(x+2) is identical to x^3+ax^2
Answer:
a = 3
Step-by-step explanation:
Factorize (x+5)(x-4)(x+2)
(x+5)(x-4)(x+2)
= (x²-4x+5x-20)(x+2)
= (x²+x-20)(x+2)
= (x³+2x²+x²+2x-20x-40)
= x³+3x²-18x -40
Compare with x^3+ax^2
3x² = ax²
3 = a
Rearrange
a = 3
Hence the value of a that makes the expressions identical is 3
If given f(x) = –4x – 2 and g(x) = 2x, what is (f · g)(x)?
A.
(f · g)(x) = –6x – 4
B.
(f · g)(x) = –8x2 – 4x
C.
(f · g)(x) = –6x – 2
D.
(f · g)(x) = –16x2 – 4x
Step-by-step explanation:
Given
f(x) = - 4x - 2
g(x) = 2x
(f • g) (x) = ?
We know
f(g(x)) = f ( 2x )
= - 4 ( 2x ) - 2
= - 8x - 2
Solve for b: 3b – 5 = 43
we have the following:
\(3b-5=43\)solving for b:
\(\begin{gathered} 3b-5=43 \\ 3b=43+5 \\ b=\frac{48}{3} \\ b=16 \end{gathered}\)therefore, the answer is 16
Answer: b=16
Step-by-step explanation: The file
what is a division problem that has a quotient of 17
Answer: 85 ÷ 5 = 17
Step-by-step explanation: We can simply find whatever division problem that has a quotient of 17 by multiplying 17 by something. So, I chose to do 17 * 5. That equals 85. Now to turn this into a division problem, we just take the product and divide it by a number other than 17 (5 in our case) so, it would look like 85 ÷ 5. That is 17. The way to check is by taking the 17 and multiplying it by the number in the middle (5). We get 85, making this statement true. I hope this helped!
Melissa just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages.
How many pages did Melissa read each day?
Write your answer as a proper fraction or mixed number.
Answer:
8 1/2
Step-by-step explanation:
She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.
if the number of times you take the test were independent of the chance you fail what could that mean?
if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.
The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.
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