Answer:
He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%
a metal rod of length 31 cm is placed in a magnetic field of strength 2.3 t, oriented perpendicular to the field.
Given a metal rod of length 31 cm placed in a magnetic field of strength 2.3 T, oriented perpendicular to the field, you need to consider the following:
1. The metal rod is 31 cm in length.
2. The magnetic field strength is 2.3 T (tesla).
3. The rod is positioned perpendicular to the magnetic field, which means that the angle between the rod and the magnetic field is 90 degrees.
In this scenario, the rod is placed in such a way that it experiences the full effect of the magnetic field due to its perpendicular orientation.
When a metal rod of length 31 cm is placed in a magnetic field of strength 2.3 T, oriented perpendicular to the field, it will experience a force. The force on the rod will be given by the formula F = BIL, where B is the magnetic field strength, I is the current flowing through the rod, and L is the length of the rod.
Since the rod is not connected to a circuit, there is no current flowing through it. Therefore, the force on the rod will be zero. However, if a current is passed through the rod, it will experience a force perpendicular to both the magnetic field and the direction of the current flow. The magnitude of the force will depend on the strength of the magnetic field, the current flowing through the rod, and the length of the rod.
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X+4=11
I need the solution
Answer:
7
Step-by-step explanation:
x+4=11
- 4 . -4
x=7
Answer:
x=5
is that what u wanted?
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 34 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
19720
Step-by-step explanation:
solve for x pleaseeeee
Answer:
22
Step-by-step explanation:
opposite angles, therefore congruent, we solve with an equation for x
3x - 14 = [ 4(x-9)]
3x - 14 = 4x - 36
-14 + 36 = 4x - 3x
22 = x
--------------------------
check
3 x 22 - 14 = [4(22 - 9)
52 = 52
same value the answer is good
how to convert mm to nm
The conversion method from milimeter to nanometer is Quantity in nanometer = quantity in milimeter × 10⁶.
In the question, the two short forms mm and nm are representative of milimeter and nanometer. As per the known information, the milimeter represents 1/10³ meters and nanometer represents 1/10⁹ meters. So, we see that the difference between the exponents of 10 is 6 (as 9 - 3 = 6).
Therefore, the conversion of milimeter to nanometer will be through the mentioned formula -
Quantity in nanometer = quantity in milimeter × 10⁶
For instance, the quantity 3 mili meters in nanometer will be calculated as follows.
Quantity in nanometer = 3 × 10⁶ nanometer
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what is the linear regression equation? (round your answers to three decimal places.) estimated tip amount
The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.
First, collect data by having participants record the total bill amount and the amount of tip they gave.Next, calculate the linear regression equation by plotting the data points on a scatter plot and fitting a line of best fit.Once the line of best fit has been determined, calculate the equation of the line using the slope-intercept form.Finally, round the values of the equation to three decimal places, and the linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.Learn more about linear regression equation: https://brainly.com/question/25987747
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Candy icing for the trim around a cookie cost $7.50 for 6 ft. How much wouldyou pay for 25 feet of icing at this rate?
The icing costs $7.50 every 6 feet
To calculate how much will 25 feet of icing cost, you can use cross multiplication
6feet_____$7.50
25feet____$x
\(\begin{gathered} \frac{7.50}{6}=\frac{x}{25} \\ x=(\frac{7.50}{6})\cdot25 \\ x=31.25 \end{gathered}\)25 feet of icing costs $31.25
Alan works at a gym. One week he records the number of people to visit the gym each day. The mean average for Monday to Friday is 98. The mean average for the whole week is 114. On Saturday 162 people visit the gym. How many people visited on Sunday?
Answer:
146 people
Step-by-step explanation:
The formula for mean = sum of values/number of values
For Monday to Friday , the average number of people that came = 98
Hence, the total number of people that came is calculated as:
Number of people that attended Monday to Friday = 98 × 5 = 490 people
The number of people that came on Saturday = 162 people
The mean average for the whole week is 114.
The number of days in a week = 7 days
The number of people that came in on Sunday is represented = x
Therefore,
490 + 162 + x/7 = 114
Cross Multiply
652 + x = 798
x = 798 - 652
x = 146 people
Therefore, 146 people visited on Sunday
Please help if you want BRIANLEIST!!
Answer:
Choice 3
Step-by-step explanation:
The reason why is because 2/3 x 1/3 = 2/9 and the third choice represents 2/9 btw you can't give brainliest until another person answers aswell.
HELP ME QUICK
In Shawn's class, all the students have pets. Of those pets,1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?
Answer:
2/15
Step-by-step explanation:
You want to know the fraction that is 2/3 of 1/5.
TimesIn this context, "of" means "times."
2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15
2/15 of the pets are alley cats.
A certain disease has an incidence rate of 0.9%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
Answer:
The probably. that a person who has been in the hospital for the future of the answers to the questions
Solve for q.
3
19
= 2
2/3
O 8/3
O 6/3
O 2
Answer:
3/4q=2 ÷3/4
q=8/3
Step-by-step explanation:
prove me wrong
ou want to save for a brand-new car. You put the $5,000 your Grandma gave you when you graduated in an account that pays 6% interest and is compounded monthly. How much will you have at the end of five years
An account that pays 6% interest and is compounded monthly. At the end of five years, you will have approximately $6,691.13 in the account.
To calculate the amount you will have at the end of five years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = annual interest rate (in decimal form)
n = number of times the interest is compounded per year
t = number of years
In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 6% (or 0.06 in decimal form), the interest is compounded monthly, so the number of times compounded per year (n) is 12, and the number of years (t) is 5.
Plugging these values into the formula, we have:
A = $5,000(1 + 0.06/12)^(12*5)
Calculating the expression inside the parentheses first:
(1 + 0.06/12)^(12*5) ≈ 1.33822558
Now, substituting this value back into the formula:
A ≈ $5,000 * 1.33822558
A ≈ $6,691.13
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how can you identify if a function is increasing or decreasing using the derivative function of the functions
If the derivative of a function is positive, then the function is increasing. If the derivative of a function is negative, then the function is decreasing.
1. Take a function, f(x).
2. Take the derivative of the function, f'(x).
3. If f'(x) is greater than 0, then the function is increasing.
4. If f'(x) is less than 0, then the function is decreasing.
To determine if a function is increasing or decreasing, the derivative of the function must be found. The derivative of a function is written as f'(x). If the derivative is greater than 0, then the function is increasing. If the derivative is less than 0, then the function is decreasing. This is because an increasing function has a positive slope, and a decreasing function has a negative slope. The derivative is the slope of the function, so if the derivative is positive, the function is increasing, and vice versa.
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Three cell phones were lined up in a row. The Samsung (S) was to the left of the LG (LG) but not necessarily next to it. The blue phone was to the right of the white phone. The black phone was to the left of the iPhone (iP). The iPhone was to the left of the LG (LG). What was the order of the cellphones from left to right?
Solution:
From the first and last statement, "S was to the left of the LG" and "iP was to the left of the LG", it shows that the samsung and iphone were to the left of the samsung and thus, the samsung is the last phone on the right.
Also, the third statement, "the black phone was to the left of the iP" shows that the iphone is not black and thus there is a phone (samsung) to the left of the iphone.
Thus, the arrangement of the phone from left to right is:
Samsung, Iphone, LG or Black, White, Blue
Please help! x+25=100
A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component?.
This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.
What are the different components in sales?Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:
Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.
Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.
Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.
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MathWiz wya? I need some help with this...show your work <3
Answer:
(4i+1)^2
4i^2 + 2(4i) + 1
16(-1) + 8i + 1
-15+8i
8i-15
(x+1) + (x-2)(x+3)
(x+1) + (x^2-2x+3x-6)
(x+1)+x^2+x-6
x+1+x^2+x-6
x^2+2x-5
Let me know if this helps!
Determine the independent and dependent variable from the following situation. Delilah was given $50 for her birthday. Every month she saves $15.
independent variable is?
dependent variable is?
In the given situation:
The independent variable is: Time or months. Delilah's saving and accumulation of money depend on the passage of time.
The dependent variable is: Amount of money saved. The amount of money Delilah has saved is dependent on the number of months that have passed and her consistent savings of $15 each month.\(\)
The resulting outcome of a single die toss lies in the set S = (1, 2, 3, 4, 5, 6). This is an unfair die with the odd numbers having an advantage as follows: the probability of each odd outcome is 0.2 and all other outcomes are equally likely. Consider the subsets A = (odd), B = {greater than 3). Given that an outcome lies in set B, what is the probability that it also lies in set A? [6]
The required probability is P(A|B) = 1/3 or 0.33.
Given that the subset B = {greater than 3} of a single die toss lies in the set S = {1, 2, 3, 4, 5, 6}. We are to find the probability that an outcome in set B also lies in set A = (odd).Probability of odd outcome, P(A) = 0.2Similarly, the probability of other outcomes i.e. even numbers is, P(not A) = 1 - 0.2 = 0.8
Now, the probability of getting an outcome greater than 3, P(B) = 3/6 = 0.5We are to find the probability that an outcome in set B also lies in set A. It means that we need to find P(A|B)Now, using the formula of conditional probability, we can find P(A|B) as;\(P(A|B) = \frac{P(A \cap B)}{P(B)}\)
Now, A and B are not independent events because their probability does not satisfy the condition of independence. Therefore, we need to find the intersection of A and B events separately.P(A ∩ B) means that the outcome is both odd and greater than 3. So, the possible outcome for P(A ∩ B) = {5}Therefore, P(A ∩ B) = 1/6
Now we can put these values in the formula of conditional probability;\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{1}{6}}{\frac{1}{2}} = \frac{1}{3}\) the required probability is P(A|B) = 1/3 or 0.33.
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If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.
11 days are required to rent a car at both locations at the same price.
What is a System of Equations?
A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.
1st equation: 61+24x=y
Equation 2: 105+ 20x Equals y
Eq. 1 - 2 - subtracted
105-61+20x-24x= 0
44-4x= 0
4x = 44
4 divided by both sides
x= 44/4
x= 11 days
Hence, 11 days are required to rent a car at both locations at the same price.
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Select all of the expressions that are equivalent to 4√/5
1. 2√20
2. 6 1/2 - 5 1/2
3. 3* 5 1/2 + 5 1/2
4. 4* 5 1/2
5. 2√10
6. 3* 5 1/2
The only expression that is equivalent to (4 * √5) / 5 is 2√10. Therefore, the answer is option 5: 2√10.
what is meaning of equivalent?
In mathematics, two expressions or values are said to be equivalent if they have the same value or meaning, even if they are written differently. For example, the expressions 2 + 3 and 5 are equivalent because they have the same value
what is an expression?
In mathematics, an expression is a combination of numbers, variables, and/or operators that can be evaluated to produce a value. Expressions can be simple, like 2 + 3, or complex, like (x² + 3x - 1) / (2y + 1).
In the given question,
To determine which expressions are equivalent to 4√5/5, we need to simplify 4√5/5 as much as possible.
We can simplify √20 by factoring it as √(4*5), which is 2√5.
2√20 = 2 * 2√5 = 4√5So, 2√20 is equivalent to (4 * √5) / 5.
6 1/2 - 5 1/2
6 1/2 can be written as 13/2 and 5 1/2 can be written as 11/2.
6 1/2 - 5 1/2 = 13/2 - 11/2 = 2/2 = 1
1 is not equivalent to (4 * √5) / 5, so this expression is not equivalent.
3 * 5 1/2 + 5 1/2
We can simplify 5 1/2 as 11/2.
3 * 5 1/2 + 5 1/2 = 3 * 11/2 + 11/2 = 33/2 + 11/2 = 44/2 = 22
22 is not equivalent to (4 * √5) / 5, so this expression is not equivalent.
4 * 5 1/2
We can simplify 5 1/2 as 11/2.
4 * 5 1/2 = 4 * 11/2 = 22
22 is not equivalent to (4 * √5) / 5, so this expression is not equivalent.
2√10
We can simplify √10 by factoring it as √(2*5), which is √2 * √5.
2√10 = 2 * √2 * √5 = 2√2 * √5
This expression cannot be simplified further, but we can rewrite it as (2 * √5) / √2. To make it equivalent to (4 * √5) / 5, we can multiply the numerator and denominator by 5/√5:
(2 * √5) / √2 * (5/√5) / (5/√5) = (10√5) / (5√2) = (2√5) / √2
Now, we can simplify the expression by multiplying the numerator and denominator by √2/√2:
(2√5) / √2 * (√2/√2) = (2√10) / 2 = √10
So, 2√10 is equivalent to (4 * √5) / 5.
The only expression that is equivalent to (4 * √5) / 5 is 2√10.
Therefore, the answer is option 5: 2√10.
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A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf greek students have in a one week period. we know from preliminary studies that the standard deviation is around 6.3. how many students should be sampled to be within 0.5 drink of population mean with 95% probability?
The issue is about finding the sample size required for research of UF Greek students' drinking habits in order to estimate the real average number of alcoholic beverages drank in a one-week period within a particular margin of error and degree of confidence. The preliminary investigations' known standard deviation is also presented.
It is stated in the question that,
Standard deviation (σ) = 6.3
The margin of error (E) = 0.5
Confidence level = 95%
To find: Sample size (n)
The formula for sample size:
n = (Z^2 * σ^2) / E^2
where Z is the z-score matching the desired degree of confidence.
From the z-table, we find that the z-score for a 95% confidence level is 1.96.
Substituting the values, we get:
n = (1.96^2 * 6.3^2) / 0.5^2
n = 49
Therefore, a sample size of 49 students should be selected to estimate the true average number of alcoholic drinks all UF Greek students have in a one-week period within 0.5 drinks with a 95% probability.
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In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if the order doesn't matter?
For the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.
As given in the question,
Total number have to pick by a player in a lottery daily game is equal to 3
Numbers from which player have to pick the three numbers is 0 to 9
Total numbers from which player have to pick the three numbers = 10
Given condition : Order of the number does not matter
Total number of choices to pick three numbers from 0 to 9
= ¹⁰C₃
= ( 10! ) / ( 10 - 3 )! (3!)
= 10! / 7! 3!
= ( 10 × 9 × 8 × 7! ) / ( 7!) ( 3 × 2 × 1 )
= 10 × 3 × 4
=120 choices
Therefore, for the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.
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A) At approximately what production level, q, is profit maximized? B) What is the price of the productC) What are the fixed costs
From the given table ,
\(\begin{gathered} \text{Profit = }Revenue\text{ - Cost} \\ \end{gathered}\)Profit is maximum at
\(5625-4752.75\text{ = 872.25}\)Therefore ,
\(q\text{ = 2500 units }\)Price of the product is
\(P\text{ = }\frac{R(q)}{q}=\text{ }\frac{5625}{2500}\text{ = 2.25}\)Therefore
\(\text{Price = 2.25 dollars}\)Thus the fixed cost is
\(C(0)\text{ = }3000\text{ dollars}\)Plot 4/7 on the number line
Answer:
0.57, which is a number between 0 and 1
Step-by-step explanation:
The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go
Answer:
Between 0 and 1
Step-by-step explanation:
What's the answer for this? I can't find the answer.
I believe the answer is 3/4.
Answer:
1/4+2/4=3/4 I believe so
will give brainliest!
Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
Step-by-step explanation:
The percentage of the body affected by the disease is a function of the number of days:
P(d) = 6d + 5This percentage is a dependent variable and the number of days is the independent variable.
If we give values to d, we can calculate the percentage of the body affected by the disease.
P(1)= 6·1 + 5 = 11%
P(2)= 6·2 + 5 = 17%
P(3)= 6·3 + 5 = 23%
P(4)= 6·4 + 5 = 29%
P(5)= 6·5 + 5 = 35%
P(6)= 6·6 + 5 = 41%
P(7)= 6·7 + 5 = 47%
P(8)= 6·8 + 5 = 53%
Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.
Starting immediately, the treatment will be stage 1: less than 15%
Starting on day 2 or 3, the treatment will be stage 2: 15-25%
After day 3, the treatment will be stage 3: 25-50%
After day 8, there is no cure: more than 50% of the body is affected by the disease.
I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
SpymoreIf f(x) is defined by then what is the value of f'(5)? f(x) = 9z²+1 3x + 4
then what is f'(2)? f(x) = (3x³ + 2)²
The value of f'(5) is 30z. The value of f'(2) is \(72x^2(3x^3 + 2)\) from the the power rule and the chain rule.
To find the derivative of f(x), we need to apply the power rule and the chain rule. Let's break down the calculation for each case.
1. f(x) = 9z^2 + 1/(3x + 4)
To find f'(5), we consider z as a constant. Taking the derivative of 9z^2 with respect to x gives us 0. The derivative of 1/(3x + 4) with respect to x can be found using the chain rule, which states that d(u/v)/dx = (v * du/dx - u * dv/dx)/v^2. In this case, u = 1 and v = 3x + 4. Applying the chain rule, we find that f'(5) = 0 - 1 * 3/\((3x + 4)^2 = -3/(3x + 4)^2\).
2. f(x) = \((3x^3 + 2)^2\)
To find f'(2), we apply the chain rule. We let u = \(3x^3 + 2\ and\ v = u^2\). Taking the derivative of u with respect to x gives us du/dx = 9x^2, and the derivative of v with respect to u is dv/du = 2u. Applying the chain rule, we have f'(2) = du/dx * dv/du = \(9x^2 * 2(3x^3 + 2) = 18x^2(3x^3 + 2)\).
Therefore, the value of f'(5) is -3/(3x + 4)^2, and the value of f'(2) is \(18x^2(3x^3 + 2)\).
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hurry i need help with this i don’t know what to write
The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
What is the AAS Congruence TheoremThe AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.
By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.
In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
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