The diagram shows a border that is 4 inches wide surrounding Annie's painting.
Write an expression, in factored form, that represents the area of the border.
__ square inches
Answers
since the border is 4 inches wide and there are 2 sides to the border , the expression in factored form that represents the area of border = 8 x (length of border)
What is area of rectangle?The area of a rectangle is the amount of two-dimensional space that the rectangle occupies. It is calculated by multiplying the length of the rectangle by its width.
What is perimeter of rectangle?The perimeter of a rectangle is the distance around the outside of the rectangle.
(4 inches) * (2 sides) * (length of border) = 8 inches * (length of border)
To write this expression in factored form, we can factor out the 8 inches:
8 inches * (length of border) = 8 inches * (length of border)
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Related Questions
find cos 200 with answers
Answers
Answer:
so it was in my textbook coincidenly here is a solution for that
Step-by-step explanation:
Since,
cos 200°
= 1/sec 200°
⇒ cos 200°
= 1/(-1.0641)
= -0.9397
J
Question 1 of 10
Each equation given below describes a parabola. Which statement best
compares their graphs?
x = 5y²
x=3y²
OA. Both parabolas open upward, and x = 3y2 is wider than
x = 5y².
B. Both parabolas open to the right, and x = 3y² is wider than x = 5y².
OC. Both parabolas open upward, and x = 5y2 is wider than
x = 3².
OD. Both parabolas open to the right, and x = 5y² is wider than x = 3y².
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
x = 5y²
x = 3y²
Here x is a function of y and so the parabola is open either to right or left.
The coefficient of y² is positive. So the parabola is open to right.
Both parabolas are open to right and x = 5y² is wider than x = 3y².
given the geometric sequence 1/3,2/9,4/27,8/81,... determine the formula for the nth term and find a10
Answers
The formula for the nth term of the given geometric sequence is an = (1/3) * (2/3)^(n-1), and the 10th term (a10) is 512/59049.
Determine The formula of geometric sequenceThe given geometric sequence is 1/3, 2/9, 4/27, 8/81,....
To determine the formula for the nth term, we first need to find the common ratio (r) between the consecutive terms.
We can do this by dividing the second term by the first term or the third term by the second term, and so on.
In this case, (2/9) / (1/3) = 2/3.
Therefore, the common ratio is 2/3.
Now that we have the common ratio, we can express the nth term using the formula:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
In this sequence, a1 is 1/3.
So, the formula for the nth term becomes: an = (1/3) * (2/3)^(n-1)
To find the 10th term (a10), we can simply plug in n = 10 into the formula:
a10 = (1/3) * (2/3)^(10-1) = (1/3) * (2/3)^9
Calculating the value, we get:
a10 = (1/3) * (512/19683) = 512/59049
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A linear function contains the following points. X y 0-3 6 15 What are the slope and yintercept of this function?
A. The slope is -3. The y-intercept is (0, -3). 1
B. The slope is 3 The y-intercept is (-3,0).
C. The slope is 3. The pinterceptis (0, -3). 1
D. The slope is 3 The y-intercept is (0, -3).
Answers
Answer:
Assessment started: undefined.
Item 1
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form by filling in the boxes.
Step-by-step explanation:
the nth term of this sequence: 1/2,4/3,9/4,16/5
URGENT
Answers
Answer: \(\frac{n^{2} }{n+1}\)
Step-by-step explanation:
The numerator (top digit) are squares. For example,
1 is \(1^{2}\)
4 is \(2^{2}\)
9 is \(3^{2}\)
and so on.
The bottom digit increases by one.
Therefore, the Nth term would be that number (N) squared on the numerator, and n+1 on the denominator.
Pls help me calculate the total area of compound shapes?!?!?
Answers
Answer:
Left: 42ft^2
Right: 21ft^2
Step-by-step explanation:
Its the same question as last time.
Left: (3*10) + (2*6) = 42
Right: (3*5) + (2*3) = 21
tanya's car will go 2 3/5 miles on 1/4 of gas how many miles will tanya's car go on 1 gallon of gas
Answers
Tanya's car will go 10 2/5 miles on 1 gallon of gas.
What is expression?
An expression consists of one or more numbers or variables along with one more operation.
We can start by finding out how many quarters of gas are in a gallon. Since there are 4 quarters in a whole, there are 4 quarters in one gallon of gas. Therefore, we can find how many miles Tanya's car will go on 1 gallon of gas by multiplying the number of miles it goes on 1/4 of gas by 4:
2 3/5 miles ÷ (1/4) = 2 3/5 miles × 4 = 10 2/5 miles
So, Tanya's car will go 10 2/5 miles on 1 gallon of gas.
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The equation of an ellipse is
4 x²+9 y²+8 x-54 y+49=0
a. Write the equation in standard form. Show your work.
Answers
The equation of the given ellipse, 4x² + 9y² + 8x - 54y + 49 = 0, can be transformed into standard form by completing the square for both the x and y terms.
The standard form of an ellipse equation is (x-h)²/a² + (y-k)²/b² = 1, where (h, k) represents the center of the ellipse, and 'a' and 'b' are the lengths of the major and minor axes.
To convert the equation 4x² + 9y² + 8x - 54y + 49 = 0 into standard form, we need to complete the square for both the x and y terms. Let's begin by rearranging the equation:
4x² + 8x + 9y² - 54y + 49 = 0
Next, we focus on completing the square for the x terms. We take half the coefficient of x (which is 4) and square it, then add and subtract that value inside the parentheses:
4(x² + 2x + 1) + 9y² - 54y + 49 - 4 = 0
Simplifying further:
4(x + 1)² + 9y² - 54y + 45 = 0
Now, we complete the square for the y terms. We take half the coefficient of y (which is -54/9 = -6) and square it, then add and subtract that value inside the parentheses:
4(x + 1)² + 9(y² - 6y + 9) + 45 - 36 = 0
Simplifying once more:
4(x + 1)² + 9(y - 3)² + 9 = 0
To obtain the standard form of an ellipse equation, we divide the entire equation by the constant on the right side (which is 9):
(x + 1)²/9 + (y - 3)²/1 = 1
Thus, the equation is now in standard form, where the center of the ellipse is (-1, 3), the length of the major axis is 2 times the square root of 9 (which is 6), and the length of the minor axis is 2 times the square root of 1 (which is 2).
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A mathematical sentence indicating that two expressions are not equal.
a.) Linear Equation in one variable
b.) Linear Inequality in one variable
c.) Linear Equation in two variables.
d.) Linear Inequality in two variables
Answers
A mathematical sentence indicating that two expressions are not equal is called a linear inequality.
In mathematics, there are different types of mathematical sentences that represent various relationships between expressions. One such type is a linear equation, which represents an equality between two linear expressions. Another type is a linear inequality, which represents an inequality between two linear expressions. Both linear equations and linear inequalities can be written in one variable or two variables, depending on the number of unknowns involved.
When we have a mathematical sentence indicating that two expressions are not equal, we are dealing with a type of mathematical sentence called a linear inequality. A linear inequality is represented by the symbol '<' (less than), '>' (greater than), '≤' (less than or equal to), '≥' (greater than or equal to), or '≠' (not equal to).
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The mathematical sentence which is indicating that two expressions are not equal can be stated as : b.) Linear Inequality in one variable.
The correct answer is:
b.) Linear Inequality in one variable.
Here, we have,
we know that,
A linear inequality in two variables can be stated as an inequality that can be written in the form "ax + by < c" or "ax + by > c" or "ax + by = c",
where a is constant, b is constant and c is also constant and x and y both are variables. This inequality which is representing a boundary line and all the solutions of the inequality make up a region of the xy-plane.
As an example we have, the inequality "2x + 3y < 6" represents the region of the xy-plane that is on one side of line 2x + 3y = 6. To graph this inequality, one can find the boundary line by setting the inequality equal to zero and then shading in the region that satisfies the inequality.
A linear equation which is in two variables is an equation that can be written in the form "ax + by = c", where a, b, and c are constants and x and y are variables. This equation that represents a straight line in the xy-plane and all the solutions of the equation are the coordinates of the points on that line.
A mathematical sentence indicating that two expressions are not equal is typically represented by a linear inequality in one variable. In this case, the expressions on both sides of the inequality are not equal to each other.
Hence, The mathematical sentence which is indicating that two expressions are not equal can be stated as : b.) Linear Inequality in one variable.
The correct answer is:
b.) Linear Inequality in one variable.
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Find the area of the kite with measurements of 6cm 1cm 11cm
Answers
The area of the kite is \(66 \ cm^2\).
To find the area of a kite, you can use the formula: Area = \(\frac{(diagonal \ 1 \times diagonal \ 2)}{2}\)
In this case, the measurements given are \(6\) cm, \(1\) cm, and \(11\) cm. However, it is unclear which measurements correspond to the diagonals of the kite.
If we assume that the 6 cm and 11 cm measurements are the diagonals, we can calculate the area as follows:
Area = \(\frac{6 \times 11 }{2}\)
= \(66\) cm²
If the \(1\) cm measurement is one of the diagonals, and the other diagonal is unknown, it is not possible to calculate the area accurately without the measurement of the other diagonal. Without knowledge of the lengths of both diagonals of the kite, it is not possible to determine the exact area as it depends on the specific dimensions.
Therefore, the area of the kite is \(66 \ cm^2\).
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Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.
Answers
Answer:
C) -0.91
Step-by-step explanation:
A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.
Answer:
c
Step-by-step explanation:
Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest integer..
Answers
Answer:
-11, -9, -7the smallest: 2x+1 = -11Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - seven times the smallest number
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - twice the largest number
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answers
Answer:
C. \(\displaystyle y = 5e^{tan(x)}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle \frac{dy}{dx} = ysec^2(x)\)
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: \(\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)\)[Multiplication Property of Equality] Isolate x terms together: \(\displaystyle \frac{1}{y}dy = sec^2(x)dx\)Step 3: Find General Solution
[Equality Property] Integrate both sides: \(\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx\)[1st Integral] Integrate [Logarithmic Integration]: \(\displaystyle ln|y| = \int {sec^2(x)} \, dx\)[2nd Integral] Integrate [Trig Integration]: \(\displaystyle ln|y| = tan(x) + C\)[Equality Property] e both sides: \(\displaystyle e^{ln|y|} = e^{tan(x) + C}\)Simplify: \(\displaystyle |y| = Ce^{tan(x)}\)Rewrite: \(\displaystyle y = \pm Ce^{tan(x)}\)Step 4: Find Particular Solution
Substitute in variables [Function]: \(\displaystyle |5| = Ce^{tan(0)}\)Evaluate absolute value: \(\displaystyle 5 = Ce^{tan(0)}\)Evaluate trig: \(\displaystyle 5 = Ce^0\)Evaluate exponent: \(\displaystyle 5 = C(1)\)Multiply: \(\displaystyle 5 = C\)Rewrite: \(\displaystyle C =5\)Substitute in C [General Solution]: \(\displaystyle y = 5e^{tan(x)}\)∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
Calculator What is mZCDJ?
Answers
Answer: 34°
Step-by-step explanation:
1. 4x+3x-8=90, add 8 to both sides, so -8 cancels on the left side and 90 becomes 98. Then combine 4x and 3x, you get 7x=98, finally divide both sides by 7, the 7 on the left side cancels and 98 becomes 14. So X=14.
2. Now input 14 into 3x-8. So 3(14)-8=34°, check your work by input 14 in 4x and then adding them both together, they should equal 90. So 4(14)=56 and 34+56=90 so 34° is correct.
The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?
Answers
Answer: The correct answer for this question is $6.55
Step-by-step explanation:
Hope this helps
Answer:
28.75
Step-by-step explanation:
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per hour is less than the amount Hamish earns per hour. How much does each of them earn per hour? A. Hamish earns $18 per hour, and Harry earns $23 per hour. B. Hamish earns $19 per hour, and Harry earns $24 per hour. C. Hamish earns $21 per hour, and Harry earns $25 per hour. D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Answers
Answer:
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
Step-by-step explanation:
Hamish and Harry work as plumbers. Harry earns a dollar more than 5/4 the amount Hamish earns per hour. The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour. How much does each of them earn per hour?
Hamish earnings per hour = x
Harry earnings = 1 + 5/4x
The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
Harry also earns = 7/5x - 2
Equate both Harry's earnings
1 + 5/4x = 7/5x - 2
Collect like terms
1 + 2 = 7/5x - 5/4x
3 = 28x-25x/20
3 = 3/20x
Divide both sides by 3/20
x = 3 ÷ 3/20
= 3 × 20/3
x = 20
Hamish earnings per hour = x
= $20
Substitute Harry's earnings into 7/5x - 2
= 7/5 × 20 - 2
= 28 - 2
= 26
Harry's earnings = $26
D. Hamish earns $20 per hour, and Harry earns $26 per hour.
A sandwich store charges a $10 delivery fee and $4.50 for each sandwich they sell.
What is the total cost (sandwiches and delivery charge) if an office orders 5 sandwiches?
Answers
Answer:
77.5
Step-by-step explanation:
First, find the cost without delivery fees
$4.50*5=$22.50
Then, the fees. $10*5=$50
Then, $50+$22.5=$77.5!
Answer:
Hope it works for u
Step-by-step explanation:
its so simple first to find the total cost for 1 sandwich
for 1 sandwich+ delivery charges
total cost for 1 sandwich= delivery charges+ sandwich cost
=$10+4.50 =$14.50
Now to get total cost for 5 sandwich and also delivery charges is on each sandwich hence simply multiply total cost by 5,we get
Total cost for 5 = 5*($14.50)=$72.5 Ans.....
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what does the following indicate in a genogram:
1. square
2. circle
3. solid horizontal line
4. broken line
5. X through a square/circle
6. solid verticle line
Answers
In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:
1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.
2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.
3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.
4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.
5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.
6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.
These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.
Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.
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Consider this expression. 7m^2 (2m -1 )(m 9) what expression is equivalent to the given expression?
Answers
The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression 7m² * (2m -1 )*(m9).
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±ac Comutative: a . b = b. a Associative: a(b+c)= c(a+b) Identity: b.1=bPower RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.
First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.
After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,
(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).
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A Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
How high above the surface of the water does the anchor begin to drop? Round to the nearest meter.
Answers
The height the anchor begins to drop is 17.5 m
How to find how high above the surface of the water does the anchor begin to drop?Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
Let
h = the height the anchor begins to drops, h' = height of anchor below water surface = 52.5 mThe total height the anchor drops is thus H = h + h'
Now, the total height the anchor drops H = vt where
v = speed of anchor = 3.5 m/s and t = time anchor drops = 20 sSo, equating both equations, we have
vt = h + h'
Making h subject of the formula, we have that
h = vt - h'
Given that
v = 3.5 m/s, t = 20 s and h' 52.5 mSubstituting the values of the variables into the equation, we have that
h = vt - h'
h = 3.5 m/s × 20 s - 52.5 m
h = 70 m - 52.5 m
h = 17.5 m
So, the anchor drops 17.5 m
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If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answers
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
Joanna has six beads that she wants to assemble into a bracelet. Two of the beads have the same color, and the other four all have different colors. How many different ways can Joanna assemble her bracelet
Answers
Joanna can assemble her bracelet in 30 ways.
How to find the number of ways in which the bracelet can be assembled?It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.
The rest 4 are of different colors.
Six beads can be arranged in a circle in 6!/6 ways.
This means that the six beads can be arranged in 5! ways.
Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.
5!/2 = 5*4*3*2*1/2
= 60
Now, we know that two beads are of the same color. Therefore, we must divide this by two again.
Therefore, we get:
60/2 = 30
The six beads can be arranged in 30 ways to make the bracelet.
Therefore, we have found that Joanna can assemble her bracelet in 30 ways.
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Gia's rectangular patio is 27 feet long. The ratio of the length to the width is 6 to 4. What is the width of Gia's patio in yards? Hint: 3 feet = 1 yard.
I need help
Answers
Answer:
tttttttttttttttttttttttttttttttttttttttttttttttt ty
Step-by-step explanation:
The quotient of x and 3 plus 24 PLEASE HELP
Answers
Answer:
(24 divided by 3) + x
Step-by-step explanation:
i did it
A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges $4 more per drill than its manufacturing cost, m. The chain then sells each drill for 120% of the price that it paid the manufacturer. Find a function P(m) for the price at the home improvement stores
Answers
The price of the rechargeable drill in the home improvement stores is P(m) = 1.2m + 4, where m is the manufacturing total cost.
P(m) = 1.2m + 4
P(m) = 1.2(manufacturing cost) + 4
P(m) = 1.2m + 4
The manufacturer of tools charges $4 more than its manufacturing cost for a rechargeable drill to a chain of home improvement stores. Following that, the chain sells each drill for 120 percent of what it paid the manufacturer.. Therefore, the price of the rechargeable drill in the home improvement stores can be represented by the function P(m), where m is the manufacturing cost of the drill. The equation P(m) = 1.2m + 4 shows that the price of the rechargeable drill in the home improvement stores is equal to 1.2 times the manufacturing cost plus $4. This equation indicates that the manufacturer of tools charges $4 more than its manufacturing cost and the home improvement stores then increase the price of the drill by 20% of the price they paid to the manufacturer. Therefore, the total cost of the rechargeable drill in the home improvement stores is 1.2m + 4, where m is the manufacturing cost of the drill.
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Simplify the polynomials.
- (2x²+x+1)-(x²-x+7)-(4x²+2x+8)
Answers
Answer:
-7x(to the power of 2)-2x-16
Explanation:
In the figure below, if x = 80° and z =
36°, find y.
Answers
Step-by-step explanation:
theanswer is 64 degrees
3. Consider the following system: →0.85→0.85→ Determine the probability that the system will operate under each of these conditions: a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) b. Each system component has a backup with a probability of .85 and a switch that is 100 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places. c. Each system component has a backup with a probability of .85 and a switch that is 90 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)
Answers
a. The probability that the system will operate as shown is approximately 0.6141.
b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141
The probability that the system will operate as shown is approximately 0.6141.
b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:
Probability = 0.85 × 0.90 × 0.85
Probability ≈ 0.6485
The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
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what is the percent of increase from 600,000 to 900,000?
Answers
Answer: 50%
Step-by-step explanation:
Over the last 80 years, the average annual U. S. Inflation rate was about
a. 3. 6 percent, implying that prices have increased 16-fold.
b. 4 percent, implying that prices have increased 17-fold.
c. 4 percent, implying that prices have increased 16-fold.
d. 3. 6 percent, implying that prices increased about 17-fold
Answers
The correct option is C, Prices have increased about 16-fold over the last 80 years, assuming an average annual U.S. inflation rate of 4 percent.
The inflation rate is a measure of the rate at which the general level of prices for goods and services is rising over a period of time, usually a year. It is typically expressed as a percentage increase or decrease in the average price level of a basket of goods and services over a certain period of time.
Here, the price index is a weighted average of the prices of a specific set of goods and services. The inflation rate is a key indicator of the overall health of an economy, as high inflation can erode purchasing power and reduce the standard of living for individuals, while low or negative inflation can lead to economic stagnation or deflation. Governments and central banks closely monitor inflation rates to ensure that they remain within a targeted range, typically around 2-3% per year, through the use of monetary and fiscal policies.
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