Answer:
D
Step-by-step explanation:
To find the length of the hypotenuse, we use the Pythagoras’ theorem.
It states that the square of the hypotenuse equals the sum of the square of the two other sides.
So here, let’s say the hypotenuse is d.
d^2 = 6^2 + 5.5^2
d^2 = 36 + 30.25
d^2 = 66.25
d = √(66.25)
d = 8.14
(4,3); y = 3x² - x + 7
Answer:13
Step-by-step explanation:
because when you
When calculating the effective rate of a loan, which statement or statements must be true if n is equal to 1? I. The nominal rate equals the effective rate. II. The length of the loan is exactly one year. III. The interest is compounded annually. A. I and III b. II and III c. I only d. III only.
The correct statement is, ''The nominal rate equals the effective rate'' and it can be determined by using properties of Annual Percentage Rate.
Given that,
When calculating the effective rate of a loan,
We have to determine,
Which statement or statements must be true if n is equal to 1?
According to the question,
Effective Interest Rate;When calculating the effective rate of interest of a loan, the nominal rate of interest will be equal to the effective rate, and the interest is compounded annually in the event that n is equal to 1.
If the duration of the loan, n, is 1 then the nominal rate and the effective rate will always be equal. Moreover, the interest rate charged on the loan is usually stated as an Annual Percentage Rate (APR) of charge compounded annually.
1. The nominal rate equals the effective rate.
The nominal interest rate does not take into account the compounding period, while the effective rate does.
Therefore, the statement is true.
2. The length of the loan is exactly one year.
The length of the loan may or may not exactly be 1 year, because, in n = 1, n may be quarterly or yearly.
Therefore, this statement is not true.
3. The interest is compounded annually.
The length of the loan may or may not exactly be 1 year, because, in n = 1, n may be quarterly or yearly.
Therefore, this statement is not true.
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Answer:
A) I-III
Step-by-step explanation:
2. 3x = 18 then the value of x is
Answer:
x=6
Step-by-step explanation:
(I don't know if you mean question 2 3x= 18 or 2 times 3x = 18)
2.3x = 18
3x = 18 / 2 = 9
x = 9/3 = 3
Or : x = 18/3 = 6
If the radius of the enclosure is 1,000 feet, what is the approximate area of the sector in which the bison are kept?
Area is,
\(A=\pi^{}R^2\)R= 1000
so A= 3.14 x 1000 x1000=3140000 feet
total ares is 3140000 feet
the bison angle is 60
so,1/6 th of 3140000 is 523333.33
so the answer is C.
How many square feet of outdoor carpet will
we need for this hole?
What is 2 9/12×6=.........
Step-by-step explanation:
2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer
NO LINKS I WILL REPORT!!! But help plssss Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answer:
F is not congruent
Step-by-step explanation:
Solve.
−0.4x−3.17=−5.2
Enter your answer as a decimal or as a mixed number in simplest form in the box.
the answer would be x=5.075
The cost of catering a dinner is modeled by the equation, C = 12n + 1000, where C represents the cost in
dollars and n represents the number of persons at the dinner.
How much will it cost if 25 people attend?
If the cost of catering a dinner is modeled by the equation, C = 12n + 1000, we get this it will cost $1,300 if 25 people attend.
To find the cost of catering for 25 people, we substitute n=25 into the given equation:
C = 12n + 1000
C = 12(25) + 1000
C = 300 + 1000
C = 1300
Therefore, it will cost $1,300 if 25 people attend the dinner. The given equation shows that the cost of catering is dependent on the number of people attending the dinner.
The fixed cost of $1,000 represents the cost of overhead expenses such as renting equipment and labor cost for setting up. The variable cost of $12 per person represents the cost of the food and drinks. As the number of people increases, the total cost increases proportionally.
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Given that 124 x 51d83 = 64086e2 is such that d and e are natural number less than 10, calculate the calculate the value of d + e
=================================================
Explanation:
For this problem, we can make a lattice multiplication diagram. Place the digits of 124 across the top of the lattice multiplication box. Then place the digits along the right hand side of the box. Refer to figure 1 in the diagram below. I've color-coded the alternating bands of diagonals to help be able to add the values we need.
In figure 2, I multiplied all of the outer header single-digit values to get two-digit results. For instance, in the bottom right corner we have 4*3 = 12. Note how the 1 and the 2 of "12" is broken up like you see in figure 2. It's important to separate out the digits like this.
This is because we'll be adding along the diagonal color bands. The 2 in the white triangle in the very bottom right corner is the last digit of the product. This matches with 64086e2 having 2 as the last digit.
Then we add along the diagonal pink color band getting 6+1+2 = 9. This is the digit e. So e = 9 (refer to figure 3). The number 64086e2 updates to 6408692
We could keep going with the lattice process, but I'll stop here and move onto the next section below.
---------------------------------------------
Let m = 6408692
We can do trial and error to determine what d must be equal to. The list of choices we have are {0,1,2,3,4,5,6,7,8,9}
So let's go through those possible values of d
If d = 0, then 124*51083 = 6334292 but it is not equal to m. If d = 1, then 124*51183 = 6346692 but it is not equal to m. If d = 2, then 124*51283 = 6359092 but it is not equal to m. If d = 3, then 124*51383 = 6371492 but it is not equal to m. If d = 4, then 124*51483 = 6383892 but it is not equal to m. If d = 5, then 124*51583 = 6396292 but it is not equal to m. If d = 6, then 124*51683 = 6408692 which is equal to m.Since d = 6 and e = 9, this means d+e = 6+9 = 15.
Using MATLAB or equivalent program, simulate the trajectories of particles undergoing a one-dimensional random walk based on the equation in class: Xi(n) = Xi(n−1)±δ where xi(n) represents the position of the ith particle after n steps, which has a 50% probability of moving forward by deltaδ and a 50% probability of moving backwards by deltaδ. Let δ = 12 and simulate M = 100 particles (all starting at x = 0), for 150 timesteps. Plot all 100 particle positions xi(n) from n = 1 to 151 timesteps. HINT: MATLAB function randi returns random integer values chosen uniformly from between a specified interval. Alternatively, PYTHON function random.randint(a,b) will return a random integer between a specified interval (requires importing the random module) HINT2: MATLAB programs run faster when vectorized. Note that Xi can be represented as a vector of (M x 1) particle positions, and that randi can output random integer values as a vector of (M x 1) forward or backward steps.
% Initialize variables
delta = 1/2;
M = 100;
N = 150;
% Create a vector of particle positions
x = zeros(M, N);
% Simulate the random walk
for n = 1:N
for i = 1:M
x(i, n) = x(i, n - 1) + randi([-1, 1], 1, 1) * delta;
end
end
% Plot the particle positions
figure
plot(x)
xlabel('Timestep')
ylabel('Position')
The first paragraph of the answer summarizes the code. The second paragraph explains the code in more detail.
In the first paragraph, the code first initializes the variables delta, M, and N. delta is the step size, M is the number of particles, and N is the number of timesteps. The code then creates a vector of particle positions, x, which is initialized to zero. The next part of the code simulates the random walk.
For each timestep, the code first generates a random number between -1 and 1. The random number is then used to update the position of each particle. The final part of the code plots the particle positions. The x-axis of the plot represents the timestep, and the y-axis represents the position.
The code can be modified to simulate different types of random walks. For example, the step size can be changed, or the probability of moving forward or backward can be changed. The code can also be used to simulate random walks in multiple dimensions.
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Question 2 Which is NOT the method that can be used to show congruency of two triangles? a) SSS b) ASA c) SAS d) SSA 0) None of the above Review Question3 ASATABFE by the HL method mZ AST 48 and m FEB 3x Find x.
Answer:
NO.2- SSA is not the method to show the congruency of two triangles.
Khan academy anyone can help me plz on this
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An inequality is shown.
-2x+12<18
What is the solution to the inequality?
0x<3
x>3
Answer:
-3 < x
Step-by-step explanation:
first of all get the positive x on one side, so we have
12 < 18 + 2x ( positive x is easier to work with)
then, get only x on one side
-6 < 2x
simplify
-3 < x
I need help. I do not know if I am wrong or right.
Process capability determines whether a process is capable of producing the product or services that customers demand. Question content area bottom Part 1 True False
Process capability determines whether a process is capable of producing the product or services that customers demand is true.
Process capability is a statistical measure that determines the ability of a process to meet customer requirements and specifications.
It assesses whether the process is capable of producing products or services that consistently meet the desired quality standards.
To evaluate process capability, data is collected from the process and analyzed using statistical methods.
Key parameters such as process mean, process variation, and process limits are calculated to determine if the process is operating within acceptable limits.
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a topographic map has a contour interval of 5 ft and a scale of 1:2000. if two adjacent contours are 0.6 inches apart, what is the average slope of the ground between the contours?
Expressed as a percentage, the average slope is approximately 0.0009%
To find the average slope of the ground between the two contours, we need to first determine the vertical distance between them in feet.
Since the contour interval is 5 ft and two adjacent contours are 0.6 inches apart, we can set up the following proportion to find the vertical distance between the contours in feet:
0.6 inches : 1 (map unit) = 5 ft : 2000 (map units)
Solving for the vertical distance in feet, we get:
0.6 inches * 5 ft / 2000 = 0.0015 ft
Therefore, the vertical distance between the two contours is 0.0015 ft.
The average slope of the ground between the contours can be found by dividing the vertical distance by the horizontal distance between the contours. Since the scale of the map is 1:2000, 1 inch on the map corresponds to 2000 inches on the ground. Therefore, the horizontal distance between the contours in feet is:
1 inch * 2000 / 12 = 166.67 ft
Thus, the average slope of the ground between the contours is:
0.0015 ft / 166.67 ft ≈ 0.000009
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ore time on the Internet: A researcher polled a sample of 1012 adults in the year 2010 , asking them how many hours per week they spent on the Internet. The sample mean was 10.01 with a standard deviation of 13.90. A second sample of adults was taken in the year . For this sample, the mean was with a standard deviation of . Assume these are simple random samples from populations of adults. Can you conclude that the mean number of hours per week spent on the Internet differs between and
Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean
=11.43, Standard deviation
=14.10
Sample size of 1st year = n1
= 1012Mean of 1st year sample
= X1 = 10.01Standard deviation of 1st year sample
= s1
= 13.90Sample size of 2nd year
= n2
= 1012Mean of 2nd year sample
= X2
= 11.43
Standard deviation of 2nd year sample = s2
= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).
Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.
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Gary is collecting stamps and wants to collect the same number of stamps each week. He currently has 520 stamps. He only has 6 more weeks to collect the remaining stamps that he needs for his collection. He needs a total of at least 1000 stamps before he is done. Graph the answer to the inequality.
Answer:
Step-by-step explanation:
1000-520=480
480/6=80
x+6+520=1000 (-6)
x+514=1000
x=486
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
2 QUESTIONS
Hi, Laura! ;)
The answer to the first question is 5,62.Here is the step by step solution:They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.
1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7
2) Divide the sum by the quantity of numbers, which is 6: 33,7 / 6 = 5,616
The closest number to 5,616 is 5,62.
==========================================================
Now let's answer your second question.
The correct answer is, indeed, 0,14.How do we get to this number? Here is the step by step solution:1) First step is to find out how many possible outcomes you have. It is the
number of raffle tickets in the box: 200.
2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.
The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.
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Good luck, Laura! :)
negative three over eight divided by five over nine..
Answer:
- 27/40
Step-by-step explanation:
2. Ask one of your teachers how tall they are in feet/in. Write it here:
Now, covert their height into centimeters (cm).
feet
in.
1 ft = 12 in
1 in = 2.54 cm
My teacher:
- 5'3
- 5.25 ft
- 63 in
- 160 cm
Can you guys help me with this i really need it
The correct expression is given as; 5a + 24.99(12). Option B
What is the correct equation?We know that it is normal for us to be able to use an equation to be able to model a function. In this case, we have been told that the monthly payment that has to be made is given as $24.99 each month and this has to be done for twelve months.
In addition to this, there is a cost of $5 that has to be paid for each of the classes that we are taking. We would now need to assume that each of the classes would be represented as a.
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32^2+42^2
pts 4fre
yes im aware i spelled it wrong.
Answer:
2788
Step-by-step explanation:
To square a number means to multiply it by itself:
\(32^2+42^2=32 \times 32+42 \times 42=1024+1764=2788\)
Answer:
2788
Step-by-step explanation:
32^2+42^2
1024+42^2
1024+1764
2788
Roger's father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages and Ring Ring charges $8 for 200 text messages.
Answer:
wheres the question
Step-by-step explanation:
Use the diagram below. If m∠3 = 60°, find m∠4.
Answer:
120
Step-by-step explanation:
Evaluate the following expression: \[ 1.723 \times 10^{2}+7.38 \times 10^{3} \] Type answer:
The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.
In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.
In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.
Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.
Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.
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changing improper fractions to mixed numbers worksheet
Divide the numerator by the denominator to create a mixed number from an incorrect fraction. The mixed number is created after the division in such a way that the achieved quotient becomes the whole number, the leftover becomes the new numerator, and the denominator stays the same.
A mixed number is one that combines both a proper fraction and a full number. Mixed fractions are another name for mixed numbers.
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. "Top-heavy" fractions are sometimes used to describe improper fractions.
Follow these procedures to convert a mixed number to an incorrect fraction:
1. Divide the entire number by the numerator.
2. Increase the numerator by that sum.
3. Add that total to the denominator from the previous step.
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help please thank you
1). Volume of the coin is 1.4 cm³
2). Volume of cylinder is 282.8 cm³
3). Volume and curved surface area of the cylinder are 2771.2 cm³ and 791.8 cm² respectively.
How to calculate for the volume and curved surface area of cylinderVolume of cylinder is calculated using:
V = π × r² × h
1) Volume of coin = 3.142 × (1.5cm)² × 0.2cm
Volume of coin = 1.4 cm³
2) Volume of the cylinder = 3.142 × (3cm)² × 10cm
Volume of the cylinder = 282.8 cm³
3) Volume of the cylinder = 3.142 × (7cm) × 18cm
Volume of the cylinder = 2771.2 cm³
Area of curved surface= 2πrh
Area of curved surface of the cylinder = 2 × 3.142 × 7cm × 18cm
Area of curved surface of the cylinder = 791.8 cm²
Therefore, the volume of the coin is 1.4 cm³.
(2) Volume of cylinder is 282.8 cm³
(3). Volume and curved surface area of the cylinder are 2771.2 cm³ and 791.8 cm² respectively.
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Andrew walked 10 miles in 6 hours. What was his walking rate in hours per mile?
Answer:
I think it's 1.7 hours
Step-by-step explanation: