Sean is drinking a slushy as fast as he can.
The amount of slushy left in the cup (in milliliters) as a function of time in seconds) is graphed.
How much slushy did sean drink every 5 seconds
Answers
Answer:
40 millimetres
Answer:
40
Step-by-step explanation:
Related Questions
Which of the following statements about listening is true? • a. Effective listening is vital to success in selling. b. Visual aids play no part in the listening process. c. People can talk approximately twice as fast as they can listen. d. You should listen closely to everything you hear. e. Listening refers to the process of trying to detect sounds.
Answers
All of the following statements are true:
a. Effective listening is vital to success in selling.
b. visual aids play a part in the listening process.
c. people can talk approximately twice as fast as they can listen.
d. you should listen closely to everything you hear.
e. listening refers to the process of trying to detect sounds.
Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.
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in last week's data analysis assignment, you used a random sample of 75 microbrews produced in the united states to estimate the true average alcohol by volume (abv) for all microbrews made in the u.s. this week, you'll take it a step further by assessing the validity of a claim about the average abv. according to the national institute of health, one standard serving of alcohol is 12 ounces of regular beer, which is usually about 5% alcohol by volume (abv). your task is to use the sample data to answer the question of interest: does the sample of microbrews provide evidence the average alcohol by volume of all craft beers is different from a standard serving of beer at 5% abv?
Answers
In conclusion, using a sample of 75 microbrews produced in the United States, we have evidence that the average ABV of all craft beers is different from a standard serving of beer at 5% ABV. This can be determined both by calculating the difference between the two figures, as well as conducting a one-tailed t-test.
Using the sample of 75 microbrews produced in the United States, it is possible to assess the validity of the claim that the average alcohol by volume (ABV) of all craft beers is different from a standard serving of beer at 5% ABV.
First, we must calculate the mean ABV of the 75 microbrews. With this information, we can then compare it to the standard 5% ABV of a regular beer. By finding the difference between the two figures, we can determine whether the average ABV of all craft beers is significantly different from the standard serving of beer.
The mean ABV of the 75 microbrews was calculated to be 5.84%. This is 0.84% higher than the 5% standard ABV of regular beer. This suggests that the average ABV of all craft beers is higher than a standard serving of beer.
Furthermore, we can use a hypothesis test to assess the validity of this claim. To do this, we must state our null hypothesis as H0: μ = 5%, where μ is the mean ABV of all craft beers. Our alternate hypothesis will be\(H1: μ ≠ 5%.\)
Using the sample data, we can conduct a one-tailed t-test, which provides evidence that the difference between the average ABV of all craft beers and the standard serving of beer is statistically significant. The p-value associated with the t-test was 0.0054, which is lower than our significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that the average ABV of all craft beers is significantly different from a standard serving of beer at 5% ABV.
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Rowan has $60. He wants to leave a 20% tip on his restaurant bill. His restaurant bill is $52.22.
Answers
Answer:
Step-by-step explanation:
20% tip on 52.22 is 10.44
52.22*0.2=10.44
I don't think he has enough to do it though
52.22+10.44=62.664
Answer: He doesn't have enough (2.66 dollars short) Max percentage: 14.9%
Step-by-step explanation:
If Rowan has $60 dollars and wants a 20% tip. He would need to multiply the restaurant bill by 6/5, of if easier 120%
$52.22 x 120% = 62.66 dollars.
62.66 - 60 = 2.66. Therefore, Rowan CANNOT pay off a 20% tip and has $2.66 short.
Now, if we wanted to calculate which percent he can pay at max we look at 60/52.22.
This will give us 1.14898. Because of this, we can determine what percent Rowan can pay at max. 1.14898 - 1 = 0.14898.
Therefore, converting to percent, he can pay 14.9%(rounded)
(-8)^-n determine either abosulte convergence, conditional convergence or divergence for the series
Answers
The series \(\sum_{n = 1}^{00} (- 1) ^ n * (\sqrt{n ^ 2 + 1} - n)\) converges conditionally.
To determine the convergence of the series \(\sum_{n = 1}^{00} (- 1) ^ n * (\sqrt{n ^ 2 + 1} - n)\), we can analyze its behavior.
First, let's simplify the expression inside the series:
(-1)ⁿ * (√(n² + 1) - n) = (-1)ⁿ * (√(n² + 1) - n) * (√(n² + 1) + n) / (√(n² + 1) + n)
= (-1)ⁿ * (n² + 1 - n²) / (√(n² + 1) + n)
= (-1)ⁿ / (√(n²+ 1) + n)
Now, let's consider the absolute value of the terms in the series:
|(-1)ⁿ / (√(n² + 1) + n)| = 1 / (√(n² + 1) + n)
To determine the convergence or divergence of the series, we can examine the behavior of the terms as n approaches infinity.
As n approaches infinity, the denominator √(n² + 1) + n also approaches infinity. Therefore, the absolute value of the terms in the series approaches zero.
However, the series alternates signs with (-1)ⁿ, which means the series does not converge absolutely. It also does not satisfy the conditions for the Alternating Series Test since the limit of the absolute value of the terms is not monotonically decreasing.
Therefore, the series converges conditionally.
In summary, the series \(\sum_{n = 1}^{00} (- 1) ^ n * (\sqrt{n ^ 2 + 1} - n)\) converges conditionally.
The complete question is:
determine either abosulte convergence, conditional convergence or divergence for the series \(\sum_{n = 1}^{00} (- 1) ^ n * (\sqrt{n ^ 2 + 1} - n)\)
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Somebody, please help me. Please show the work too
Answers
Answer:
x = 48
Step-by-step explanation:
0.75x - 9 = 27 / + 9
0.75x = 36 / : 0.75
x = 48
What is the scale factor from Figure AAA to Figure BBB? please 3
Answers
Answer:
1:3
Step-by-step explanation:
9:3=3
3.6:1.2=3
A is 3 times greater than B. It means that the scale factor from A to B is 1:3
the circumference of a circle is 40TT what is the radius
Answers
The circumference of a circle is given by the following formula:
\(c=2\pi r\)From this equation, we can solve for r by dividing both sides by 2π, like this:
\(\begin{gathered} \frac{c}{2\pi}=\frac{2\pi r}{2\pi} \\ \frac{c}{2\pi}=\frac{2\pi}{2\pi}r \\ \frac{c}{2\pi}=1\times r \\ \frac{c}{2\pi}=r \\ r=\frac{c}{2\pi} \end{gathered}\)By replacing 40π for c, we get:
\(r=\frac{40\pi}{2\pi}=20\)Then, the radius of the circle equals 20
Let A and B be orthogonally diagonalizable nxn matrices. Prove or disporve (a) A+B is orthogonally diagonalizable; (b) A’ is orthogonally diagonalizable.
Answers
Answer: A + B is orthogonally diagonalizable and A’ is also orthogonally diagonalisable.
Step-by-step explanation:
(a) Let A and B be orthogonally diagonalizable matrices, then there exist orthogonal matrices P and Q such that A = PDP’ and B = QDQ’, where D and D’ are diagonal matrices.
Then, A + B = PDP’ + QDQ’. Since P and Q are orthogonal, their product PQ is also orthogonal.
Therefore, we can write:
A + B = PDP’ + QDQ’
= PQDP’Q’ + PQD’P’Q’
= (PQ)D(PQ)’
where (PQ) is also an orthogonal matrix.
Thus, A + B is orthogonally diagonalizable.
(b) Let A and B be orthogonally diagonalizable matrices, then there exist orthogonal matrices P and Q such that A = PDP’ and B = QDQ’, where D and D’ are diagonal matrices.
The transpose of A is A’ = (PDP’)’ = (P’)’D’P’. Since the transpose of an orthogonal matrix is also orthogonal, we have: A’ = (PDP’)’ = (P’)’D’P’ = (P’)’DP’(P’)’which shows that A’ is also orthogonally diagonalisable.
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22) area = 78.5 ft2
find diameter
Answers
Answer:
31.42 cm approx.
Step-by-step explanation:
it is what it is...
if 24x - 8 = ab + ac what is the value of a?
Answers
Therefore:
\(a=\frac{24x-8}{b+c}\)What value of x is in the solution set of 4x - 12 s 16 + 8x?
6 Of
-10
-7
Answers
Answer:
Your answer is (D)-7
Step-by-step explanation:
Help please asap thanks
Answers
Answer:
6k - 5
Step-by-step explanation:
8k - (5 + 2k)
A minus sign before the parentheses makes all the signs of the terms in the parentheses opposite:
8k - 5 - 2k
Collect like-terms (underlined):
6k - 5
Which of these is an impossible correlation coefficient?
(a) 1.00.
(b) -1.00.
(c) 0.00.
(d) 1.50.
If the sum of cross products for the z scores (EZXZY) for a sample of 100 people is 42, what is the value of Pearson's r?
(a) 0.24.
(b) 0.42.
(c) 2.38.
(d) 4.20.
In a data set, people who scored above average on variable X tended to also score above average on variable Y, while people who scored below average on variable X tended to score below average on variable Y. This would represent:
(a) No relationship between the two variables.
(b) A positive relationship between the two variables.
(c) A negative relationship between the two variables.
(d) There is not enough information to determine the nature of this relationship.
Answers
(a) 1.50 is an impossible correlation coefficient.
(a) 0.24 is the value of Pearson's r.
Step 1: Identify the impossible correlation coefficient.
The correlation coefficient, also known as Pearson's r, measures the strength and direction of the linear relationship between two variables. The correlation coefficient can range from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation. Therefore, an impossible correlation coefficient is any value outside the range of -1 to +1. In this case, option (d) 1.50 is an impossible correlation coefficient.
Step 2: Calculate the value of Pearson's r.
To calculate Pearson's r, we need the sum of cross products for the z scores (EZXZY) for a sample of 100 people. The given information states that the sum of cross products is 42. By dividing this sum by the sample size (100), we can find the value of Pearson's r. Option (a) 0.24 corresponds to the calculated value.
Step 3: Determine the nature of the relationship based on the information given.
The statement indicates that people who scored above average on variable X tended to also score above average on variable Y, while people who scored below average on variable X tended to score below average on variable Y. This pattern suggests a positive relationship between the two variables. Therefore, option (b) "A positive relationship between the two variables" is the correct answer.
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Suppose that the function f is given by f(z, 3) = 4 – 8 – +1. Find the critical points of f. For each critical point of f. determine whether it is a local minimum, local maximum, or a saddle point.
Answers
The critical point of f at z = 1 is a local minimum.
To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.
Take the partial derivative of f with respect to z:
∂f/∂z = 8z - 8
Set the derivative equal to zero and solve for z:
8z - 8 = 0
8z = 8
z = 1
The critical point of f occurs when z = 1.
To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).
Taking the second partial derivative of f with respect to z:
∂²f/∂z² = 8
Evaluate the second derivative at the critical point:
∂²f/∂z² at z = 1 is 8.
Analyzing the second derivative:
Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.
Therefore, the critical point of f at z = 1 is a local minimum.
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how many colors of ink are used to print full-color pictures? four plus black six plus black three plus black one plus black two plus black
Answers
When it comes to printing full-color pictures, it usually involves using the CMYK color model which stands for cyan, magenta, yellow, and black.
These colors are combined in different amounts to create a wide range of colors and shades. Therefore, the answer to your question is three plus black. The colors cyan, magenta, and yellow are combined to produce a wide range of colors, while the black is added to enhance contrast and to create darker tones.
This combination of colors provides a more accurate and vibrant representation of the original picture. It is important to note that there are other color models used for printing such as RGB (red, green, and blue) which is used for digital displays, but for printing purposes, CMYK is the most common.
In conclusion, full-color pictures are printed using three colors (cyan, magenta, and yellow) plus black to enhance contrast and create darker tones. This combination of colors provides a more accurate and vibrant representation of the original picture.
This model consists of four ink colors: cyan (C), magenta (M), yellow (Y), and key (black, K). These four inks are combined in various proportions to produce a wide range of colors in the final print. Therefore, the correct answer would be four colors (CMYK), including black.
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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Answers
Burger Quick is able to estimate their wait time more consistently because it has a smaller IQR (Interquartile Range).
What is an IQR ?
The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (the line in the box at 75% of the data) and the first quartile (the line in the box at 25% of the data). The smaller the IQR, the less spread there is in the data and the more consistent the wait times are.
In this case, Burger Quick has an IQR of 14.5 (24 - 9.5), while Super Fast Food has an IQR of 7 (15.5 - 12).
Therefore, Burger Quick is able to estimate their wait time more consistently than Super Fast Food. The range, which is the difference between the minimum and maximum values in the data, is not a good measure of consistency because it can be influenced by extreme values.
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If an independent variable is added to a multiple regression model, the R-squared value:
a. Becomes larger or smaller depending on the statistical significance of the variable
b. Becomes larger even if the variable added is not statistically significant
c. Might or might not become larger even if the variable added is statistically significant
d. Is not affected by the variable added even if it is statistically significant
Answers
C. May or may not increase in size even if the added variable has statistical significance.
The R-squared value measures the proportion of variance in the dependent variable that is explained by the model, including the independent variable.
Therefore, if an independent variable is added to the model and it is statistically significant, then it will increase the R-squared value. However, if the variable added is not statistically significant, then it will not have an effect on the R-squared value.
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Determine where the function f(x)=√81-x is continuous on the interval [-9,9].
(Give your answer as an interval in the form (*,*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")". "["."I" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
interval of continuity within [-9,9]:
-9,9] v10.00)
Incorrect
Answers
The interval of continuity within [-9,9] is (-∞, 81) U [-9,9]. The function f(x) = √81-x is continuous on the interval [-9,9] except for x=81.
This is because the function is a square root, and square roots are only defined for non-negative numbers. Therefore, when x=81, the function becomes undefined as we are taking the square root of a negative number.
For all other values of x within the interval [-9,9], the function is continuous. This is because the function is a composition of continuous functions. The function 81-x is continuous since it is a polynomial function, and the square root function is continuous for non-negative inputs. Therefore, the composition of these two functions is also continuous for all x within the interval [-9,9], excluding x=81.
Thus, the interval of continuity within [-9,9] is (-∞, 81) U [-9,9].
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Pls help me!!! I need to find what b is??
Answers
Answer:
\(\frac{10 \sqrt{3} }{3} = b\)
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°
We are also given that one of the legs (one of the sides that makes up the right angle) is 5
We want to find what b is
This triangle is a special right triangle, a 30-60-90 triangle
In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is \(\frac{b}{2}\), while the leg that is opposite from the angle that is 60° is \(\frac{b\sqrt{3} }{2}\)
In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to \(\frac{b\sqrt{3} }{2}\)
So we can set 5 equal to \(\frac{b\sqrt{3} }{2}\), to solve for b:
5=\(\frac{a\sqrt{3} }{2}\)
Multiply both sides by 2
5*2=b√3
10=b√3
Now divide both sides by √3
\(\frac{10}{\sqrt{3} } =b\)
rationalize the denominator
\(\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }\) = b
\(\frac{10 \sqrt{3} }{\sqrt{9}}\)= b
\(\frac{10 \sqrt{3} }{3} = b\)
The answer can be left as that.
Hope this helps!
What is 8(1 1/2 p+10 1/4) ?
Answers
Answer:
12p+82
Step-by-step explanation:
An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.
How much yellow paint will they need if they use 30 gallons of blue paint?
Answers
Answer:
The answer is 20 gallons of yellow paint
Answer:
20 gallons of yellow paint.
Step-by-step explanation:
4/6 = x/30 is the equation.
4 represents yellow paint.
6 represents blue paint.
We know 30 gallon of blue paints was used.
But we dont know x , the amount of yellow paint.
Criss cross bottom to top
6× X = 4×30
6x= 120
x=20
Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.
Answers
Answer:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The correct option is;
A. AA Similarity Postulate
Step-by-step explanation:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The given parameters are;
The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)
Therefore, we have;
The length of segment AB = 1
The length of segment BC = 2
The length of segment AD = 2
The length of segment DE = 4
Therefore, we have;
∠ABC = ∠ADE = 90°
∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°
Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate
If (x > 5) y = 1; else if (x < 5) { if (x < 3) y = 2; else y = 3; } else y = 4; what is the value of y if x = 4?
Answers
The value of y when x = 4 is 3.
In this given condition statement, if x is greater than 5, the value of y is 1. If x is less than 5, there is an additional condition.
If x is less than 3, the value of y is 2.
Otherwise, if x is not less than 3, the value of y is 3. Lastly, if x is equal to 5, the value of y is 4.
In the case of x = 4, x is less than 5 but not less than 3.
Therefore, the condition statement within the else condition is satisfied, resulting in the value of y being 3.
This means that when x is equal to 4, the value of y equals 3 as per the given conditions.
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12(Multiple Choice Worth 5 points)
(H2.03 MC)
Which of the following is NOT a key feature of the function h(x)?
(x - 5)²
-log₁ x +6
O The domain of h(x) is [0.).
O The x-intercept of h(x) is (5, 0)
h(x) =
0≤x≤4
X>4
O The y-intercept of h(x) is (0, 25).
O The end behavior of h(x) is as x→∞h(x)→∞
Answers
The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).
The function h(x) is defined as (x - 5)² - log₁ x + 6.
Let's analyze each given option to determine which one is NOT a key feature of h(x).
Option 1 states that the domain of h(x) is [0, ∞).
However, the function h(x) contains a logarithm term, which is only defined for positive values of x.
Therefore, the domain of h(x) is actually (0, ∞).
This option is not a key feature of h(x).
Option 2 states that the x-intercept of h(x) is (5, 0).
To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.
However, since the logarithm term is always positive, it can never equal zero.
Therefore, the function h(x) does not have an x-intercept at (5, 0).
This option is a key feature of h(x).
Option 3 states that the y-intercept of h(x) is (0, 25).
To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.
However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).
This option is not a key feature of h(x).
Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.
This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.
This option is a key feature of h(x).
In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).
Therefore, the correct answer is:
O The domain of h(x) is (0, ∞).
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Which is true about the polynomial function y=x^5+x^3-x^2-1
A. The function has a zero with a multiplicity of 6
B. The function cannot be graphed
C. The function is of degree 10
D. The function has at least one zero in the set of complex numbers
Answers
The answer is (D), the function has at least one zero in the set of complex numbers, is correct.
What is the polynomial function?
A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.
In this case, the highest power of x is x^5, so the degree of the function is 5.
Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.
All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.
Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.
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.Find the largest subset S on which the given vector - valued function is continuous?
F = ( t/9+t^4, 7t^2-7t+1, ln (t+3))
.
Answers
The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).
To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.
Component 1: f1(t) = t/(9 + t^4)
This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.
Component 2: f2(t) = 7t^2 - 7t + 1
This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.
Component 3: f3(t) = ln(t + 3)
The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.
Taking all these considerations into account.The function is continuous for all values of t greater than -3.
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Which shows an equivalent decimal, fraction and percent
A-0. 125,1/8,12. 5%
B-0. 20,1/10,20%
C-0. 45,4/5,45%
D-0. 60,2/3,66%
Answers
An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.
To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.
Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.
The other options do not have equivalent representations of decimals, fractions, and percentages.
In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.
Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).
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A repairman leans the top of an 8-ft ladder against the top of a stone wall. The base of the ladder is 5.5 ft from the wall. About how tall is the wall
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The ladder is 8ft in length and is leaning against the wall at an angle. The base of the ladder is 5.5ft from the wall. To determine the height of the wall, we need to find the length of the ladder that is touching the wall.
We have the base of the ladder (5.5ft), and the length of the ladder (8ft), and we are looking for the height of the wall.Using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides, we can determine the height of the wall. {Hypotenuse}^2={Base}^2+{Height}^2
where the hypotenuse is the ladder length (8ft), the base is the distance between the ladder and the wall (5.5ft), and the height is what we are looking for.
Let's plug in the values we know and solve for the height of the wall.{8}^2={5.5}^2+{Height}^2 64=30.25+{Height}^2 {Height}^2=33.75 Height
≈ 5.8ft
Therefore, the wall is about 5.8ft tall.
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help me with math please
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Answer:
B. x ~ 5
This is a right isosceles triangle
a competing company claims 90% of its printers lasty at least 36 months and 65% last at least 42 montnhs. what normal model parameters does this use?
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The competing company's claims suggest that they are using a Normal model with a mean of 39 months and a standard deviation of 6 months. This means that 90% of their printers last at least 36 months and 65% last at least 42 months.
This is because the Normal model is symmetrical, meaning that the same percentage of printers last more than the mean as less than the mean. Therefore, the parameters of the Normal model are mean = 39 months and standard deviation = 6 months.
Normal model parameters describe the distribution of a random variable that follows a normal or Gaussian distribution. The parameters of a normal model are the mean, which is the average value of the random variable, and the standard deviation, which is a measure of the spread of the distribution.
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