Answer:
Yes
Step-by-step explanation:
24²+24²=x², x = 33.94
33.94²+14²=x², x = 36.71 inches
1 yard is about 36 inches, so it should just fit.
Adam bought a treadmill and a dirt bike from a sports equipment store for y dollars. He signed an installment agreement requiring an 8% down payment and monthly payments of x dollars for 18 months. Which expression correctly represents Adam’s finance charge?
A. 0. 8y
B. 18y
C. 18x − 0. 92y
D. 18x − 0. 08y
E. 18y − 0. 92x
The expression that correctly represents Adam’s finance charge is D. 18x - 0.08y.
Given that Adam bought a treadmill and a dirt bike from a sports equipment store for y dollars. He signed an installment agreement requiring an 8% down payment and monthly payments of x dollars for 18 months.
Down payment: 8% of y = 0.08y
Finance Charge = total amount paid - total cost of equipment
Total amount paid = down payment + monthly payments x number of months
Down payment = 0.08y
Monthly payment = x
Number of months = 18
Total amount paid = (0.08y + 18x)
Total cost of equipment = y
Hence, finance charge = (0.08y + 18x) - y = 18x - 0.08y
Therefore, the correct expression that represents Adam’s finance charge is D. 18x - 0.08y.
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i need help pleaseee❤️
Answer:
A"(2,11) B"(0,5) C" (4,3)
Step-by-step explanation:
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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The average daily balance is the mean of the balance in an account at the end of each day in a month. The following table gives the dates and amounts of the transactions in Elliott's account in June.
Day of June Transaction type Transaction amount (in dollars)
1
11 Starting balance
1223
12231223
10
1010 Deposit
615
615615
15
1515 Withdrawal
−
63
−63minus, 63
22
2222 Withdrawal
−
120
−120minus, 120
There are
30
3030 days in June.
What is the average daily balance of Elliott's account for the month of June?
Answer:
the daily balance of Elliott's account for the month of June is $1497.37.
Step-by-step explanation:
Day 1: 1223
Day 10: 1838 (1223+615)
Day 15: 1775 (1838 - 63)
Day 22: 1655 (1775 - 120)
To find the average daily balance, we add up the balances for each day and divide by the number of days in June:
The CPI value in January 2009 was 211.143; the CPI value in January 2014 was 233.916. What was the 5-year inflation rate between January 2009 and January 2014?
Answer:
211.143 233.916 Inflation rate: fo. Application of the formula to the inputs: IR = ?? -$0.10. Sample problem: The CPI value in January 2009 was 211.143
Step-by-step explanation:
The 5-year inflation rate between January 2009 and January 2014 is 10.78%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, For calculate the 5-year inflation rate between January 2009 and January 2014, we can use the following formula:
Inflation rate = (CPI at end of period - CPI at beginning of period) / CPI at beginning of period x 100%
Hence, Using the values given, we can plug them into the formula:
Inflation rate = (233.916 - 211.143) / 211.143 x 100% Inflation rate
= 10.78%
Therefore, the 5-year inflation rate between January 2009 and January 2014 is 10.78%.
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Slope and point on line of the equation y - 6= 3(x-5)
Easy claps
Answer: slope=3 and point is (5,6)
Step-by-step explanation: It's just basic prealgebra!
(4 + 7)\(^{2}\) + 2\(^{3}\)
Step-by-step explanation:
(4+7)^2=11^2=121
2^3=8
121+8=129
Answer:
= 121
Step-by-step explanation:
it's algebra questions. in Algebra there are some formula are necessary to remember.
(4+7)²+2³
> (4²+2×4×7+7²)+2×2×2×2
> (4×4+2×4×7+7×7)+16
> 8 +56+49+16
> 129
• Equation (4+7)²+2³ is equal to 129.
someone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
\((x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50\)
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
William drove for 5 hours at an average speed of 54 mi/h. For the first two hours, he drove 45 mi/h. What was his average speed for the last three hours?
A. 40 mi/h
B. 50 mi/h
C. 60 mi/h
D. 65 mi/h
William drove for 5 hours at an average speed of 54 mi/h.
For the first two hours, he drove at a speed of 45 mi/h.
To find:William's average speed for the last three hours.
Solution:Let \(x\) represent the average speed for the last three hours (in mi/h).
The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).
The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).
The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).
The average speed for the last three hours can be calculated as:
\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)
Simplifying the expression:
\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)
Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).
Answer:
Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.
Step-by-step explanation:
We can start by using the formula:
average speed = total distance / total time
We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:
total distance = average speed x total time
total distance = 54 mi/h x 5 h
total distance = 270 miles
We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:
distance for first 2 hours = speed x time
distance for first 2 hours = 45 mi/h x 2 h
distance for first 2 hours = 90 miles
To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:
distance for last 3 hours = total distance - distance for first 2 hours
distance for last 3 hours = 270 miles - 90 miles
distance for last 3 hours = 180 miles
Finally, we can use the formula again to find his average speed for the last three hours:
average speed = distance for last 3 hours / time for last 3 hours
average speed = 180 miles / 3 hours
average speed = 60 mi/h
use the chain rule to find ∂z/∂s and ∂z/∂t. z = sin() cos(), = st9, = s9t
∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.
To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:
∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]
We know that ∂z/∂ is cos()cos() - sin()sin(), and
(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)
Substituting these values, we get:
∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]
Simplifying the expression, we get:
∂z/∂s = -sin()cos()t9 + cos()sin()9st2
Similarly, we can find ∂z/∂t as follows:
∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]
Using the same values as before, we get:
∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]
Simplifying the expression, we get:
∂z/∂t = sin()cos()s - cos()sin()81t
Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.
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Ursula took out an unsubsidized Stafford loan to help pay for her first of her four years at college. The loan had a principal of $6,400, an interest rate of 6. 9% compounded monthly. After college, Ursula started making monthly payments over a 10 year period on her loan. What percentage of the total cost of the loan is the finance charge? a. 45. 25% b. 27. 91% c. 43. 50% d. 82. 66%.
The correct statement is that Ursula has incurred the finance charge of 46.17% about for the loan amounting to $6400. So, the correct option matching the statement is not as quoted in the options above.
Finance charge can be calculated by summarizing and comparing the principal amount with the annuity amount derived by the formula of compound interest.
Compound InterestFinance charge is the additional cost of capital borne by the person to avail the credit facility from the creditor and repayable at the end of a predetermined period at a fixed rate of interest.The calculation of compound interest in the essence of information given below will be as, \(\rm Compounded\ Annuity= 6400(1+\dfrac{0.069}{12})^1^2^\ x\ ^9\ \\\\\\\\\rm Compounded\ Annuity= 6400(1.00575)^1^0^8\)Continuing further, \(\rm Compounded\ Annuity = \$11887.88\)With the value of compounded annuity we get the interest as $5887.88The cost of percentage of finance charge can be calculated as,\(\rm Finance\ charge= \dfrac{Annuity}{number\ of\ monthly\ payments}\\\\\\\rm Finance\ charge= \dfrac{11887.88}{120}\\\\\\\rm Finance\ charge=99.06\)
Hence, the correct option is that Ursula has borne the financial charge as 46.17% of her principal.
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the graphs are isomorphic. (you must provide an answer before moving to the next part.)group startstrue or false
The function \(f:V_1\rightarrow V_2\) is one - one and onto and both the graphs are isomorphic. So, the statement is True.
In mathematics, two structures are said to be isomorphic if they have the same mathematical structure, even if their elements and operations may be named or represented differently. This means that they have the same pattern of relationships between their elements and that any statement that is true in one structure is also true in the other.
Isomorphism is a fundamental concept in many branches of mathematics, including abstract algebra, topology, and graph theory. It is often used to simplify problems by reducing them to a known isomorphic structure. For example, in graph theory, two graphs are isomorphic if they have the same number of vertices, edges, and connectivity, which allows one to study the properties of a graph by studying a simpler isomorphic graph.
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Complete Question:-
Consider the following pair of graphs: The graphs are isomorphic. (You must provide an answer before moving to the next part.) True or False
3.5x0.2 what does this equall
Answer:
0.7
Step-by-step explanation:
10 percent of a number equals 40 what is the number
Answer:
The number is 400
Step-by-step explanation:
10 percent of 400 would be 40 because you divide by 10
Classify the sequence as arithmetic or geometric and find a rule for the n'th term. 9,3,1,1/3
The given sequence 9, 3, 1, 1/3 can be classified as a geometric sequence.
To find the rule for the n'th term, we need to determine the common ratio (r) between consecutive terms.
To find the common ratio, we divide each term by its previous term:
3/9 = 1/3, 1/3 = 1/3
We can see that the common ratio (r) is 1/3.
The rule for the n'th term of a geometric sequence is given by:
a(n) = a(1) * r^(n-1)
In this case, the first term (a(1)) is 9, and the common ratio (r) is 1/3.
Therefore, the rule for the n'th term is:
a(n) = 9 * (1/3)^(n-1)
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What is angle measurement?
Answer:
In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor.
Step-by-step explanation:
I belive you asked for the defintion sorry if you weree asking for the anwser, also if u were asking for the anwser let me know and i will anwser it!
Im cacultaing the anwser now! I should be done soon!
is it true that no irrational numbers are whole numbers ?
Answer:
Explanation:
Rational Numbers are numbers that can be represented as a repeating or terminating decimal.
Examples are:
\(0.5,0.\bar{3},\frac{2}{5},etc.\)Therefore, Irrational numbers cannot be represented as a terminating decimal.
\(undefined\)Find the monthly payment for the loan. (Round your answer to the nearest cent.) Finance $650,000 for a warehouse with a 6.5%.30-year loan
The formula is M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ], Where: M = monthly payment, P = principal amount (the amount being financed), i = monthly interest rate (annual interest rate divided by 12), n = a number of payments (numbers of years multiplied by 12). In this case, we have the following information: Principal amount (P) = $650,000, Interest rate (i) = 6.5% (convert to decimal by dividing by 100), Number of payments (n) = 30 years (convert to months by multiplying by 12)
Let's plug these values into the formula and solve for M: i = 6.5% / 100 = 0.065, n = 30 years * 12 = 360 months, and M = 650,000 [ 0.065(1 + 0.065)^360 ] / [ (1 + 0.065)^360 – 1 ]. Calculating this equation will give us the monthly payment for the loan. Round your answer to the nearest cent.
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Please Help!
A dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet. Assuming that the dog cannot enter the garden, compute the exact area that the dog can wander.
The dog can wander an area of ___ square feet
(exact answer, using the pi symbol)
The area that the dog can wander based on the information provided will be 931π.
How to calculate the area?From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.
In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.
The area that the dog can wander will be:
= 3/4(π35²) + 1/4(π(35 - 28)²)
= 3/4π(35)² + 1/4π(7)²
= (3/4 × 1225)π + (1/4 × 49)π
= 918.75π + 12.25π
= 931π
Therefore, the area that the dog can wander based on the information provided will be 931π.
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Describe the graph of the line x = 5.
A. Crosses the y-axis
B.horizontal line
C. Vertical line
Answer:
vertical line
Step-by-step explanation:
I did that on my test
Math and Science Floodwalls are used to prevent damage from floods A town built a floodwall 8 4/4 feet tall Anothee town built a floodwaters 7 1/8 feet tall what is the difference between the heights of the floodwalls
The difference between the heights of the floodwalls of the two towns is 1 3/8 feet.
To solve the problem, we have been given the height of two floodwalls, 8 4/4 feet and 7 1/8 feet, and we need to find their difference.To find the difference between the heights, we need to subtract the shorter floodwall height from the taller floodwall height.
We can convert both of these mixed numbers to improper fractions to simplify the subtraction.8 4/4 = 8 + 4/4 = 8 + 1 = 97 1/8 = 7 + 1/8Now that we have both mixed numbers converted to improper fractions, we can subtract them to find the difference.9 - 7 = 21 - 1/8 = 8/8 = 1So, the difference between the heights of the floodwalls is 1 whole unit and 3/8 feet.
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5u+u–u please tell me !
Answer: = UwU
Step-by-step explanation:
Answer:
5u
Step-by-step explanation:
Simplifying
5u + -1u = u + 15
Combine like terms: 5u + -1u = 4u
4u = u + 15
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-1u' to each side of the equation.
4u + -1u = 15 + u + -1u
Combine like terms: 4u + -1u = 3u
3u = 15 + u + -1u
Combine like terms: u + -1u = 0
3u = 15 + 0
3u = 15
Divide each side by '3'.
u = 5
Simplifying
u = 5
A survey asked 60 randomly chosen students if they eat school lunch. Forty
said yes. There were 560 school lunches sold today. Estimate the number of
students who attend the school.
Answer:
840
Step-by-step explanation:
560 is 2/3 of 840 so I think that is the answer
the average rate of change over π 2,π is enter your response here.
The average rate of change is defined as the change in the dependent variable (y) divided by the change in the independent variable (x), or (y2 - y1) / (x2 - x1).
The average rate of change over the interval [π/2, π] cannot be determined without knowing the specific function. The average rate of change is defined as the change in the dependent variable (y) divided by the change in the independent variable (x), or (y2 - y1) / (x2 - x1). To find the average rate of change, you need to know the values of y at the start and end of the interval, as well as the corresponding x values.
Thus, The average rate of change over the interval [π/2, π] cannot be determined.
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2. the cost of a bunch of grapes at $1.19 per pound
The
depends on the
Independent variable:
Dependent variable:
Answer:
The cost depends on the grapes
Step-by-step explanation:
I INCLUDED THE GRAPH! PLEASE HELP ITS URGENT PLEASE I AM DOING MY BEST TO RAISE MY GRADE!!!
Graph g(x)=−|x+3|−2.
Use the ray tool and select two points to graph each ray.
The graph of the function g(x) = −|x + 3| − 2 is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = −|x + 3| − 2
The above expression is an absolute value function that hs the following properties
Reflected over the x-axisTranslated left by 3 unitsTranslated down by 2 unitsVertex = (-3, -2)Next, we plot the graph
See attachment for the graph of the function
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Quadrilateral HGFJ is a rhombus. GF=16 cm and m∠GHK=42°.
What is JF and m∠KGH?
The angle measure of m∠KGH = 48°.
And the length of the segment JF = 16 cm.
What is a rhombus?A rhombus is one type of parallelogram and has 4 sides and 4 vertices.
Every side is equal in length and opposite angles are equal.
Given:
Quadrilateral HGFJ is a rhombus.
GF=16 cm and m∠GHK=42°.
The diagonals of the rhombus bisect each other at the right angle.
So,
m∠KGH = 180 - 90 - 42
m∠KGH = 48°.
And JF = GF = 16 cm.
Therefore, m∠KGH = 48°.
And JF = GF = 16 cm.
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hello please help i’ll give brainliest
Answer: 81
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.
Answer two questions about Systems A and B:
System A
System B
62-5y = 1
4x - 3y = 0
-2r+2y=-1
-2r+2y=-1
1) How can we get System B from System A?
The solution to the system of equations is x = 1 and y = 2.
To solve the system of equations graphically, we will first represent each equation as a line on a coordinate plane. The equations are:
x + y = 3
2x + 5y = 12
To graph the first equation, we can assign values to x and solve for y, or vice versa. Let's assign some arbitrary values to x and find the corresponding values for y:
When x = 0, y = 3
When x = 1, y = 2
When x = 2, y = 1
When x = 3, y = 0
By connecting these points, we obtain a line. Plotting these points on a coordinate plane and connecting them gives us the graph of the first equation.
Now let's graph the second equation. Similarly, we assign values to x and solve for y:
When x = 0, y = 12/5
When x = 1, y = (12 - 2) / 5 = 10/5 = 2
When x = 2, y = (12 - 4) / 5 = 8/5
When x = 3, y = (12 - 6) / 5 = 6/5
Plotting these points and connecting them gives us the graph of the second equation.
By examining the graph, we can see that the lines do intersect at a single point, which represents the solution to the system of equations. To find the coordinates of this point, we can determine the x and y values at the point of intersection by visually inspecting the graph or using more precise methods such as estimation or calculation.
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Complete Question:
Solve the following system of equations graphically:
x + y = 3
2x + 5y = 12
if the correlation coefficient is equal to 0.50, what is rsquare equal to?
If the correlation coefficient is equal to 0.50, the value of r-square is equal to 0.25.
The correlation coefficient, also known as Pearson's correlation coefficient (r), is a measure of the strength and direction of the linear relationship between two variables. The coefficient ranges from -1 to 1, with 0 indicating no correlation.
To calculate the coefficient of determination (R-squared or R²), you need to square the correlation coefficient (r). In this case, the correlation coefficient (r) is equal to 0.50.
Here's a step-by-step explanation of how to calculate R-squared:
1. Determine the correlation coefficient (r), which is given as 0.50.
2. Square the correlation coefficient: R² = r².
3. In this case, R² = (0.50)².
Calculating the R² value, we get:
R² = 0.25
R-square is a statistical measure that is used to determine how well the regression model fits the data. It is also called the coefficient of determination. The value of R-square ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables. R-square is an important measure because it helps to evaluate the accuracy of the model and determine how well it predicts the outcome.
So, when the correlation coefficient is equal to 0.50, the R-squared value is equal to 0.25. The R-squared value represents the proportion of the variance in one variable that is predictable from the other variable. In this case, 25% of the variance in one variable can be explained by the linear relationship with the other variable.
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