Answer:
If its in parobola form here is your answer
Step-by-step explanation:
y=5(x+1/5)^2-26/5
a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
Answer:
u fking b
ur bad
A direct variation includes the points (3,72) and ( – 2,n). Find n.
Answer:
n = -48
Step-by-step explanation:
Use the attachment for a full explanation.
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST (and correctly ofc)
Answer:
y = 3 (4)^x
Step-by-step explanation:
quadruples means multiplies by 4
This equation is in the form
y = ab^x where a is the initial amount and b is the amount we multiply by
y = 3 (4)^x
Answer:
B
Step-by-step explanation:
The exponential model is of the form
y = a\(b^{x}\)
where a is the initial amount and b the growth rate
Here a = 3 and b = 4 , then
y = 3 \((4)^{x}\) → B
35 POINTS!!!!
Anjia defines the domains for the function M (x) as noted below. Explain whether her domain intervals are correct. Use appropriate mathematics definitions to justify your answer.
Without specific information about the defined domains for the function M(x) provided by Anjia, it is not possible to evaluate the correctness of the domain intervals. Additional details or the specific intervals need to be provided for a thorough analysis.
To assess the correctness of the domain intervals defined by Anjia for the function M(x), we would need to know the specific intervals or conditions she has stated. The domain of a function represents the set of all possible input values for which the function is defined and yields meaningful output.
In mathematics, different functions may have different domain restrictions based on factors such as the nature of the function, mathematical operations involved, and the type of values the function can accept. For example, some functions may be defined only for certain real numbers, while others may have restrictions on input values to avoid undefined operations like division by zero.
Without the specific domain intervals provided by Anjia, it is not possible to evaluate their correctness or validity. To justify the correctness of domain intervals, we would need to assess if they conform to the mathematical rules and conditions relevant to the specific function being defined.
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Isaac has a total of 90 pennies, nickels, and quarters. He has 3 1/2 times as many quarters as nickels and 1/2 as many pennies as nickels. How many of each coin does he have?
Answer:
see below
Step-by-step explanation:
90 x, y, z
x pennies =1/2y
y nickels
z quarters = 3 1/2 y
so 1/2y+y+3 1/2 y =90
total 5y =90
y =18
x=9
z = 63
graph the function f(x) = 1/2(2)^x on the coordinate plane.
Answer:
See below
Step-by-step explanation:
You can always plug in x's and solve for y.
Determine for which of the following matrices M the zero state is a stable equilibrium of the dynamical system x(t + 1) = Mx(t). 5.55111512312578e - 17 5.55111512312578e - 17 5.55111512312578e - 17 A. M = 5.55111512312578e – 17 5.55111512312578e – 17 5.55111512312578e – 17 5.55111512312578e – 17 5.55111512312578e – 17 5.55111512312578e – 17 0 -0.2 B. M = 2 0 5 0 C.M 0 -2 0 -7 06 -3 0.4 D.M= -0.4 -3 6 01 E.M 0 0 -0.2 0 F. M = 0 -0.8 = :]
Matrices A, C, and E have the zero state as a stable equilibrium.
To determine if the zero state is a stable equilibrium of the dynamical system x(t + 1) = Mx(t), we need to check the eigenvalues of the matrix M. If all the eigenvalues have absolute values less than 1, then the zero state is a stable equilibrium.
Let's check the eigenvalues for each matrix:
A. M = [[5.55111512312578e-17, 5.55111512312578e-17], [5.55111512312578e-17, 5.55111512312578e-17]]
Eigenvalues: [0, 0]
B. M = [[2, 0], [5, 0]]
Eigenvalues: [0, 2]
C. M = [[0, -2], [0, -7]]
Eigenvalues: [-7, 0]
D. M = [[-0.4, -3], [6, 0]]
Eigenvalues: [3.003733125762753, -3.003733125762753]
E. M = [[0, 0], [-0.2, 0]]
Eigenvalues: [0, 0]
F. M = [[0, -0.8]]
Eigenvalues: [-0.8]
Based on the eigenvalues, the matrices for which the zero state is a stable equilibrium are:
A. M = [[5.55111512312578e-17, 5.55111512312578e-17], [5.55111512312578e-17, 5.55111512312578e-17]]
C. M = [[0, -2], [0, -7]]
E. M = [[0, 0], [-0.2, 0]]
Therefore, matrices A, C, and E have the zero state as a stable equilibrium.
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Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.
The linear regression model can be extended to accommodate certain forms of non-linear relationships between the response and predictor(s). Polynomial regression is one specific method for incorporating non-linear associations within the linear regression framework.
It involves understanding the flexibility of the linear regression model and the techniques available to address non-linear relationships. While the linear regression model assumes a linear relationship between the response variable and predictors, it can still be useful in accommodating certain types of non-linear relationships.
By applying appropriate transformations to the predictor variables, such as taking their squares, logarithms, or other non-linear functions, we can introduce non-linear associations into the linear regression model. This allows the model to capture curvature or other non-linear patterns in the data.
Polynomial regression is a specific approach to incorporating non-linear relationships within the linear regression framework. It involves adding polynomial terms of the predictor variables to the model, such as squared or cubed terms. By including these polynomial terms, the model can account for non-linear relationships and capture more complex patterns.
It's important to note that while linear regression can be extended to accommodate some non-linear relationships, there may be cases where more advanced non-linear regression techniques or alternative models are necessary to adequately capture complex non-linear associations. Nonetheless, the inclusion of transformed predictor variables and the use of polynomial regression are valuable approaches to address non-linear relationships within the linear regression framework.
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the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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on stats-2, run an anova to see if there is a significant difference in whether or not customers purchase a bike depending on their career type. what can you conclude from the results assuming that the data is a valid representation of the total population of potential bike customers?
The first option is correct. There is no significant difference in the purchasing patterns across career types
How is a data valid representation of the total populationIn order for a dataset to be a valid representation of the total population, it needs to be collected in a way that ensures that it is a fair and accurate sample of the population.
One way to ensure this is through random sampling, where individuals are selected to participate in the study without any bias or preconceived notions about their characteristics. This helps to reduce the potential for selection bias and ensures that the sample is representative of the larger population.
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a company makes $10 000 in 2017. The projection of profit increase is fixed 40% from the previous year. Predict the company profit in 2019.
Answer:
19600
Step-by-step explanation:
For every year the profit increases by 40% so to figure out the profit from 2017 to 2018 you do 10,000*1.4 to and get 14,000. To get 2019's profit you do the same process, but use 2018's profit of 14,000 instead of 2017's profit to get 19,600.
Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?
Help please this is for geometry. its easy.
Answer:
Step-by-step explanation:
ccadcdddddddddddddddddddddddd
1/4 Divided By 9/10=
Answer:
\(\frac{5}{18}\)
Step-by-step explanation:
When dividing fractions, the formula is simple: Keep Flip Change (KFC)
So keep \(\frac{1}{4}\) change your division sign to a multiplication sign, and flip \(\frac{9}{10}\) so it becomes \(\frac{10}{9}\).
\(\frac{1}{4}\)·\(\frac{10}{9}\)=\(\frac{10}{36}\)
Then you need to reduce your fraction to simplest form.
\(\frac{5}{18}\)
If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved. What am I?
Answer: The moon
Step-by-step explanation:
The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
∵ The volume of the cone (V )= 1/3πhr²
The number of faces of a regular cone is one, which we may partition vertically into two halves.
This means one base face and lateral face
Now, the number of faces in one half equals the number of faces in the original form.
This meets the conditions outlined in the question.
So, the cone is a solid form.
Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."
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Create your own false statment but not from the one's given
A false statement could be that
"the maximum height attained by the diver was 20 feet
consider the sample of 1,400 past negligence cases. suppose you are willing to let the 67% estimate be within .025 (2.5%) of the true proportion. you are willing to assume a 95% confidence. a. is 1,400 an adequate sample size for the estimate of 67%? show why or why not\
We can be reasonably confident that our estimate adequate sample size of 67% is within 2.5% of the true proportion.
To determine if a sample size of 1,400 is adequate for estimating a proportion of 67%, we need to calculate the margin of error and compare it to the given tolerance level of 0.025.
We can use the following formula to calculate the margin of error:
\(E = z \sqrt{\frac{(p (1-p)}{n} )\)
where:
E is the margin of errorz is the z-score corresponding to the desired confidence level (95% corresponds to a z-score of 1.96)p is the estimated proportion (67% or 0.67 as a decimal)n is the sample size (1,400)Plugging in the values, we get:
\(E = 1.96 \sqrt{(0.67 (1-0.67)/1400)\)
≈ 0.025
Thus, the error margin is around 0.025. This indicates that there is a 95% chance that the real percentage will be within 0.025 of the estimated proportion.
We may infer that a sample size of 1,400 is sufficient for predicting a proportion of 67% with the provided degree of confidence and tolerance as the computed margin of error is equal to the required tolerance level. As a result, we can say with some degree of assurance that our estimate of 67% is within 2.5% of the actual proportion.
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Ken painted 14 meters of fencing in 1 hour. How many centimeters of fencing can he paint in 45 minutes?
Answer:
.
Step-by-step explanation:
Talia has a square piece of blue glass with an area of 320 square centimeters. What is the greatest number of medium squares that Talia can cut from this piece?
The greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
How to determine the numberFrom the information given, we have that;
The area of the square piece is 320 square centimeters.
It is important to note that the formula for area of a square is expressed as;
Area = a ²
Where a is the length of it's side
Let's substitute the value of the area in the formula
320 = a²
Take the square root of both sides
a = √320
a = 17. 89 centimeters
Thus, the greatest number of medium squares that Talia can cut from this piece is 17. 89 centimeters
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Exercises on canonical forms Determine the canonical forms (companion and Jordan) for each of
the following transfer functions: (s + 2) (s + 4) (a) H(s) = (s + 1 ) (s + 3)(s+ 5) 5 + 2 (b) H(s ) = s[(s + 1)2 + 4] s +
3 (c). H(s) = (s + 1) 2 ( s + 2) . .
The Jordan form of the transfer function H(s) is
H(s) = J * (s + 2/5)^3
where J is a Jordan matrix.
(a) To determine the canonical forms (companion and Jordan) for the transfer function H(s) = (s + 1)(s + 3)(s + 5) / (5s + 2), we first need to factorize the denominator and numerator.
The transfer function H(s) can be rewritten as:
H(s) = (s + 1)(s + 3)(s + 5) / (5s + 2)
= (s + 1)(s + 3)(s + 5) / 5( s + 2/5)
Now, let's find the roots of the denominator and numerator:
Denominator: 5s + 2 = 0
Solving for s, we get s = -2/5.
Numerator: (s + 1)(s + 3)(s + 5)
The roots of the numerator are s = -1, s = -3, and s = -5.
(a) Companion Form:
The companion form is used for systems with real distinct eigenvalues. The characteristic equation can be obtained by setting the denominator equal to zero and solving for s:
5s + 2 = 0
s = -2/5
Therefore, the characteristic equation is s + 2/5 = 0.
The companion form of the transfer function H(s) is:
H(s) = C * (s + 2/5)
where C is a constant.
(b) Jordan Form:
The Jordan form is used for systems with repeated eigenvalues. Since the denominator has a repeated eigenvalue at s = -2/5, we need to find the highest power of s in the numerator that corresponds to this eigenvalue. In this case, it is (s + 2/5)^3.
The Jordan form of the transfer function H(s) is:
H(s) = J * (s + 2/5)^3
where J is a Jordan matrix.
(c) For part (c), the transfer function H(s) = (s + 1)^2(s + 2) has distinct eigenvalues. Therefore, we can use the companion form for this transfer function.
The companion form of the transfer function H(s) is:
H(s) = C * (s + 1)^2(s + 2)
where C is a constant.
Please note that the specific values of C and the matrices in the canonical forms may vary depending on the conventions used.
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Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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find the number of solutions to the equation 3x-1=1/3(9x-5)
Answer:
No Solution
Step-by-step explanation:
-1 is not equal to -5/3
2. Simplify a × 3a³b
O A. 2a¹b7
O B. 3a4b
O C. 4a²b²
O D. 6a4b²
Therefore, the Simplified expression is 3a⁴b,the correct option is B.3a4b0
The given expression is a × 3a³b.
The first term, a, has an exponent of 1.
The second term, 3a³b, can be rewritten as 3 × a³ × b.
Now we can simplify the expression:
a × 3a³b
= a × 3 × a³ × b
= 3a¹⁺³ × b¹
= 3a⁴b¹
= 3a⁴b
So, the simplified expression is 3a⁴b.
Therefore, the correct option is B.3a4b0
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Suppose that you want to have a 93,447 retirement fund after 41 years. how much will you need to deposit now if you can obtain an apr of 3%, compounded daily?
assume that no additional deposits are to be made to the account
we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.
To calculate the amount you need to deposit now to have a retirement fund of $93,447 after 41 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment (retirement fund)
P = the principal amount (the initial deposit)
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 future value (A) is $93,447, the annual interest rate (r) is 3% (0.03 in decimal form), the number of times interest is compounded per year (n) is 365 (since it is compounded daily), and the number of years (t) is 41.
Plugging in these values into the formula, we get:
93,447 = P(1 + 0.03/365)^(365*41)
To find the principal amount (P), we can isolate it on one side of the equation. Dividing both sides by (1 + 0.03/365)^(365*41), we have:
P = 93,447 / (1 + 0.03/365)^(365*41)
Calculating this expression, we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.
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Which line has a slope of 0
A.) 2y+8x=0
B.) x=0
C.) y=-1
D.) y=x-1
Answer:
The answer is option C.
y = - 1
Hope this helps you
Show that the polynomial function f(x)=3x^3-10-x+9 has a real zero between -3 and -2
We need to integrate
3x^2-10-x+9=3x^3-x-1\(\\ \tt\Rrightarrow {\displaystyle{\int}_{-3}^{-2}}3x^2-x-1\)
\(\\ \tt\Rrightarrow \left[\dfrac{3}{4}x^4-\dfrac{x^2}{2}-x\right]_{-3}^{-2}\)
\(\\ \tt\Rrightarrow \dfrac{3}{4}(-2)^4-\dfrac{(-2)^2}{2}-(-2)-\left(\dfrac{3}{4}(-3)^4-\dfrac{(-3)^2}{2}+3\right)\)
\(\\ \tt\Rrightarrow 12-2+2-(\dfrac{243}{4}-\dfrac{9}{2}+2)\)
\(\\ \tt\Rrightarrow 12-(\dfrac{225}{4}+2)\)
\(\\ \tt\Rrightarrow 12-\dfrac{233}{4}\)
\(\\ \tt\Rrightarrow \dfrac{48-233}{4}\)
\(\\ \tt\Rrightarrow \dfrac{-185}{4}\)
\(\\ \tt\Rrightarrow 46(approx)\neq 0\)
It has a zero in between-3 and -2
Answer:
see explanation
Step-by-step explanation:
Evaluate f(x) for x = - 3 and - 2
f(- 3) = 3(- 3)² - 10(- 3) + 9 = 3(- 27) + 30 + 9 = - 81 + 39 = - 42
Then (- 3, - 42 ) is below the x- axis
f(- 2) = 3(- 2)³ - 10(- 2) + 9 = 3(- 8) + 20 + 9 = - 24 + 29 = 5
Then (- 2, 5 ) is above the x- axis
Since f(x) is below the x- axis at x = - 3 and above the x- axis at x = - 2
Then it must cross the x- axis between x = - 3 and x = - 2
Indicating there is a real zero between - 3 and - 2
1. The equation y = -x2 - 2x + 8 is graphed on the
set of axes below.
у
→X
Based on this graph, what are the roots of the
equation -- x? - 2x + 8 = 0?
B. 2 and -4
A. 8 and o
D. 4 and -2
C. 9 and -1
Answer:
It B since The root is obtained when F(x)=0 and if F(x)=y this means y=0 and when you look art graph the y=0 presented in two points x=-4 and x=2
Find the volume of the rectangular
prism.
The volume is
(Type a whole number or a decimal.)
0.6 ft
3.8 ft
0.8 ft
Answer:
Hope this will help you
Step-by-step explanation:
\(volume \: of \: rectangular \: prism = l \times b \times h \\ = 0.6 ft\times 0.8 ft\times 3.8ft \\ = 1.824 {ft}^{3} \)
Give an example of matrices A, B, and C (of any size), such that B does not equal C, A does not equal 0, and yet AB = AC.
An example of matrices A, B, and C that fit the given conditions are:
A = | 1 2 |
| 3 4 |
B = | 5 6 |
| 7 8 |
C = | 9 10 |
| 11 12 |
Even though B does not equal C and A does not equal 0, the product of AB and AC are the same:
AB = | 1*5 + 2*7 1*6 + 2*8 |
| 3*5 + 4*7 3*6 + 4*8 | = | 19 22 |
| 43 50 |
AC = | 1*9 + 2*11 1*10 + 2*12 |
| 3*9 + 4*11 3*10 + 4*12 | = | 31 34 |
| 69 78 |
As you can see, the product of AB and AC are the same, even though B does not equal C and A does not equal 0. This is an example of how matrices can have the same product even if they are not the same matrix.
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