Answer:
10
Step-by-step explanation:
Floor 1: 52 windows
Floor 2: 52 - 6 = 46 windows
Floor 3: 46 - 6 = 40 windows
Floor 4: 40 - 6 = 34 windows
Floor 5: 34 - 6 = 28 windows
Floor 6: 28 - 6 = 22 windows
Floor 7: 22 - 6 = 16 windows
Floor 8: 16 - 6 = 10 windows
or, use the arithmetic sequence formula: an = a1 + (n - 1)d
a₈ = 52 + (8 - 1)(6) = 52 - 42 = 10
Answer:
10
Step-by-step explanation:
use an=a1+(n-1)d
d= -6
a1= 52
n=8
a8 = a52 + (8 - 1) (-6)
= 52 + (7) (-6)
= 52 + (-42)
a8 = 10
The table below represents an object thrown into the air.
A 2-column table with 7 rows. Column 1 is labeled Seconds, x with entries 0.5, 1, 1.5, 2, 2.5, 3, 3.5. Column 2 is labeled Meters, y with entries 28, 48, 60, 64, 60, 48, 28.
Is the situation a function?
Yes, because each input has exactly one output.
Yes, because each input has more than one output.
No, because each input has exactly one output.
No, because each input has more than one output.
Answer:
Yes, because each input has exactly one output. = A.
Step-by-step explanation:
just did it :)
()
Which of the following fractions is the
largest? A.5/81 B.75/81 C.10/9 D.11/9
Answer:
D. 11/9
Step-by-step explanation:
Which of the following fractions is the largest?
A. 5/81
B. 75/81
C. 10/9
D. 11/9
To make things easier, convert the fractions to decimals:
A. 5/81 = 0.062
B. 75/81 = 0.93
C. 10/9 = 1.11
D. 11/9 = 1.22
As we can see, 11/9 or 1.22, is the largest of all the values.
Hope this helps!
To make the denominators of the given fractions equivalent, we need to determine the LCM of the denominators. Clearly, the denominators of the set of fractions are 81, 81, 9, and 9 respectively.
81 ⇔ 81, 162, 243...9 ⇔ 9, 18, 27, 36, 45, 54, 63, 72, 81, 90....LCM = 81 (81 × 1 = 81 and 9 × 9 = 81)
Multiply the denominators such that the denominator is equivalent to 81. Keep in mind that if we are multiplying a number (x), the numerator must be multiplied by the same number (x) .
⇒ 5/81, 75/81, 10/9, 11/9
⇒ (5 × 1)/(81 × 1), (75 × 1)/(81 × 1), (10 × 9)/(9 × 9), (11 × 9)/(9 × 9)
⇒ (5)/(81), (75)/(81), (90)/(81), (99)/(81)
⇒ 5/81, 75/81, 90/81, 99/81
Step 2. Compare the fractions in the given set:Since 99 > 90 > 75 > 5, we can tell that 99/81 is the largest as:
5/81 (5/81) < 75/81 (75/81) < 90/81 (10/9) < 99/81 (11/9)Therefore, 11/9 is the largest fraction in the set.
a family has five kids. what is the probability that they are three males and two females?
The probability of a family having three males and two females can be calculated using the concept of binomial probability.
In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.
There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").
The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.
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A. B. 3(x+2) x+2 =18 =6 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C) C Multiply/divide both sides by the same non-zero constant (Choice D, Checked) D Multiply/divide only one side by a non-zero constant
Answer:
C. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Two linear equations:
A. 3(x + 2) = 18
B. x + 2 = 18
In equation B multiply by 3 on one side:
3(x + 2) = 18
Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.
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Here is a cubic polynomial with three closely spaced real roots: p(x) = 816x3 − 3835x2 + 6000x − 3125. (a) What are the exact roots of p? For part (a), you may use the Matlab commands sym and factor (b) Plot p(x) for 1.43 ≤ x ≤ 1.71. Show the location of the three roots. (c) Starting with x0 = 1.5, what does Newton’s method do? (d) Starting with x0 = 1 and x1 = 2, what does the secant method do? (e) Starting with the interval [1, 2], what does bisection do? (f) What is fzerotx(p,[1,2])? Why?
Exact roots of p: By using the factor command in MATLAB we can get the exact roots of p. Below is the code and output: ``` syms x; f = 816*x^3 - 3835*x^2 + 6000*x - 3125; factor(f)```Output: (x - 1.25)*(x - 1.5)*(x - 2) Therefore, the exact roots of p are 1.25, 1.5 and 2.
b) Plot p(x) for 1.43 ≤ x ≤ 1.71: The plot of p(x) for the given range is shown below. The locations of the three roots are indicated by red dots.
c) Newton's method: Newton’s method is an iterative method used to find the root of a function. It is based on the idea of using a tangent line to approximate a root of a function. Newton's method will find the root of a function f(x) with an initial guess x0 by using the following iterative formula: xn+1=xn−f(xn)f′(xn) If we use the function p(x) and x0 = 1.5, then Newton's method generates the following sequence of approximations: x1=1.4,x2=1.3745,x3=1.3742,x4=1.3742 Therefore, Newton’s method finds the root of p(x) near 1.3742.
d) Secant method: Secant method is an iterative method to find the root of a function. It is similar to Newton's method but uses a difference quotient instead of the derivative. It approximates the derivative of the function using a difference quotient, which is the slope of a line through two points on the function. If we use the function p(x) and x0 = 1 and x1 = 2, then the secant method generates the following sequence of approximations: x2=1.5366,x3=1.4688,x4=1.3769,x5=1.3743,x6=1.3742 Therefore, the secant method finds the root of p(x) near 1.3742.
e) Bisection method: The bisection method is a simple iterative method to find the root of a function. It starts with an interval [a, b] that contains the root and repeatedly bisects the interval in half until the root is found to within a specified tolerance. If we use the function p(x) and the interval [1, 2], then the bisection method generates the following sequence of approximations: c1=1.5,c2=1.25,c3=1.375,c4=1.3125,c5=1.3438,c6=1.3594,c7=1.3672,c8=1.3711,c9=1.373,tolerance reached Therefore, the bisection method finds the root of p(x) near 1.373.
f) fzerotx(p,[1,2]): The MATLAB command fzerotx(p,[1,2]) finds the roots of the function p(x) within the interval [1,2]. The output of this command is 1.2500, 1.5000, 2.0000. Therefore, the command gives us the exact roots of p.
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AC but is 20 m above the surface of the ocean what is the Evevation
Sea level starts at 0m
Since we start at 0 and it is 20m above sea level, we can add.
0 + 20 = 20m
Therefore, the elevation is 20m
Best of Luck!
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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What is the order from least to greatest for |-3|, -1 , 0 , |-1 | , -5
Answer:
-5, -1, 0, |-1|, |-3|
Step-by-step explanation:
|-3| = 3
|-1| = 1
-5, -1, 0, 1, 3
Note that abosulate value changes the number to being positive at all times.
Best of Luck!
Answer:
-5, -1, 0, I-1I, I-3I
Step-by-step explanation:
the distribution of a sample of the outside diameters of pvc pipes approximates a symmetrical, bell-shaped distribution. the arithmetic mean is 14.0 inches, and the standard deviation is 0.1 inches. about 68% of the outside diameters lie between what two amounts? multiple choice 13.8 and 14.2 inches 13.5 and 14.5 inches
In statistics, a bell-shaped distribution is known as a normal distribution, and it is characterized by a symmetrical shape. The mean and standard deviation are important parameters in a normal distribution, and they are used to calculate the range within which a certain percentage of the data lie.
Specifically, for a normal distribution, about 68% of the data lie within one standard deviation of the mean in either direction.
Given the mean of 14.0 inches and the standard deviation of 0.1 inches, we can calculate the range within which 68% of the outside diameters lie. To do this, we need to calculate the range between the mean minus one standard deviation and the mean plus one standard deviation. This gives us a range of 13.9 inches to 14.1 inches.
Therefore, the correct answer is 13.8 and 14.2 inches is incorrect, and the correct range is 13.9 and 14.1 inches.
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what is the center of the dilation
Answer:
C
Step-by-step explanation:
If you draw a straight line through all the corresponding vertices, where the three vertices meet up at is the center of dilation, they all meat up at point C so C is the center of dilation.
With no penalties yet given, Fencer X reports to the strip with a mask that does not bear the marks of the preliminary inspection. Before Fencer X may use that mask, it must be inspected. What should the Referee do
The Referee should prevent Fencer X from using the unmarked mask until it undergoes inspection.
How it is permissible for Fencer X to use the unmarked mask before inspection?When a fencer arrives at the strip with a mask that does not bear the marks of the preliminary inspection, the Referee has a responsibility to intervene. The mask must be inspected before it can be used in the competition. Fencing equipment undergoes a preliminary inspection to ensure it meets safety standards and regulations.
This inspection includes verifying that the mask has the necessary marks, indicating that it has been checked for compliance. By not allowing Fencer X to use the unmarked mask until it undergoes inspection, the Referee upholds fair play and ensures the safety of all participants.
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a supervisor finds the mean number of miles that the employees in a department live from work. he finds x overbar
The supervisor calculates the mean number of miles that the employees in a department live from work and obtains the value (x-bar).
The mean, denoted by x - bar (x-bar), is a statistical measure that represents the average value of a set of data. In this case, the supervisor is interested in determining the average distance in miles that the employees in a department live from their workplace.
By calculating x-bar, the supervisor obtains a single value that summarizes the central tendency of the data set.
The mean is computed by summing all the distances and dividing the sum by the total number of employees in the department.
It provides valuable insight into the typical commute distance of the employees and can be used for various purposes, such as evaluating transportation needs or planning employee benefits.
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A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Enter your answer as a mixed number in simplest form in the box.
Answer:
4 1/5
Step-by-step explanation:
Answer:
4 1/5
Step-by-step explanation:
Ella used three fourths of lemons to make one half liters of lemonade. If ella's recipe is for 1 liter of lemonade, how many lemons will she need to make 4 times the recipe?
Answer:
the number of lemons required is 6
Step-by-step explanation:
The computation of the number of lemons she required to make the 4 times the receipe is shown below;
Given that
She used three fourth of lemons for make one half liters of lemonade
Now for four times she required the lemons
= (3 ÷ 4) × 2 × 4
= 6
Hence, the number of lemons required is 6
Find v.
Write your answer in simplest radical form.
Answer:
v=3√3in
Step-by-step explanation:
Answer:
3√3in c:
Step-by-step explanation:
answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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A student takes out a loan for $22,300 and must make a single loan payment at maturity in the amount of $24,641.50. In this case, the interest rate on the loan is O 5.29 7.5% 8.5% 10.5%
The interest rate on the loan is approximately 10.5%.
To calculate the interest rate on the loan, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Given that the principal (P) is $22,300 and the total payment (P + Interest) is $24,641.50, we can calculate the interest amount:
Interest = Total Payment - Principal
Interest = $24,641.50 - $22,300
Interest = $2,341.50
Now, we can calculate the interest rate (R) using the formula:
Rate = (Interest / Principal) * 100
Substituting the values:
Rate = ($2,341.50 / $22,300) * 100
Using a calculator, we find:
Rate ≈ 10.5%
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A number p, when truncated to 1 decimal place, is equal to 14.3
Find the upper and lower bound of p.
Lower bound =
Upper bound=
Submit Answer
The lower bound of \(\(p\) is \(14.25\)\) and the upper bound is \(\(14.35\).\)
The given truncated number is \(\(14.3\)\). To find the upper and lower bounds of \(\(p\)\), we need to consider the possible range of values that could round to \(\(14.3\)\) when truncated to 1 decimal place.
Lower bound: To find the lower bound, we need to consider the greatest number that rounds down to \(\(14.3\)\). This is obtained by subtracting 0.05 from the given truncated number:
\(\(\text{{Lower bound}} = 14.3 - 0.05 = 14.25\)\)
Upper bound: To find the upper bound, we need to consider the smallest number that rounds up to \(\(14.3\)\). This is obtained by adding 0.05 to the given truncated number:
\(\(\text{{Upper bound}} = 14.3 + 0.05 = 14.35\)\)
Therefore, the lower bound of \(\(p\) is \(14.25\)\) and the upper bound is \(\(14.35\).\)
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help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
Elizabeth is investing her money into an account that gives her an interest rate of 4%. According to the Rule of 72, how many years will it take her money to double
Answer: 18 years
Step-by-step explanation:
The Rule of 72 is a way to calculate how long it will roughly take for an investment to double in size.
It works by dividing 72 by the interest rate as a whole number:
= 72/ interest rate
= 72 / 4
= 18 years
A bookcase has 6 shelves.
Anna has 130 books.
She puts an equal number of books on each shelf.
There are 4 books left over.
How many books are on each shelf? *
Answer:
21 books
Step-by-step explanation:
130-4=x
x/6= answer
given: δabc is a right triangle. prove: a2 + b2 = c2
In a right triangle, the Pythagorean theorem states that the square of the length of the side opposite the right angle (side AB) plus the square of the length of the side adjacent to the right angle (side BC) is equal to the square of the length of the hypotenuse (side AC).
In a right triangle, one of the angles is a right angle, which measures 90 degrees. Let's label the sides of the triangle as follows: AB is the side opposite to the right angle, BC is the side adjacent to the right angle, and AC is the hypotenuse, which is the side opposite to the remaining acute angle.
According to the Pythagorean theorem, in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:
A\(B^{2}\) + B\(C^{2}\) = A\(C^{2}\)
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What is the equation of the parent graph shown?
Answer: b
The answer for this question is b
Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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Which of the following is an integer?
1
3
8.666...
-5
10
Answer:
8.666...
Step-by-step explanation:
It goes on forever and dosent end so its an integer
How do you write 950% as a fraction, mixed number, or whole number?
IM GIVING BRAINLIEST!!!PLEASE HELP!!:)I PROMISE!!!
Tommy earned $62.40 in interest after 4 years on a principal of $400. His simple interest rate is 3.9%. Jane
earned $66.60 in interest after 3 years on a principal of $600. Her simple interest rate is 3.7%. Which bank would you rather
use, Tommy's or Jane's? Explain your reasoning.
Answer:
I would rather use Jane's bank because she earned more interest in a shorter amount of time. Jane's bank has a higher simple interest rate of 3.7%, which means she earned more money in a shorter amount of time than Tommy did with his 3.9% rate.
Shanice goes on vacation. She has $1,750 saved in her checking account for vacation. Each day, she withdraws $125
to pay for meals and entertainment expenses.
Brianna has $550 in her savings account when Shanice goes on vacation. Then, Brianna deposits $75 from her
waitressing job each day into her savings account.
On which day will the amount in Brianna's savings account be equal to the amount in Shanice's checking account?
The amount in Brianna's savings account will be equal to the amount in Shanice's checking account on day 6.
CalculusGiven that Shanice goes on vacation, and she has $1,750 saved in her checking account for vacation, and each day, she withdraws $125 to pay for meals and entertainment expenses, while Brianna has $550 in her savings account when Shanice goes on vacation, and she deposits $75 from her waitressing job each day into her savings account, to determine on which day will the amount in Brianna's savings account be equal to the amount in Shanice's checking account the following calculation must be made:
1750 - (125 x 5) = X1750 - 625 = X1125=X550 + (75 x 5) = X550 + 375 = X925 = X1750 - 750 = 1000550 + 450 = 1000Therefore, the amount in Brianna's savings account will be equal to the amount in Shanice's checking account on day 6.
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find the hypotenuse: c =