For the cost to be the same at both stores, she must buy 60 tiles.
To determine the number of tiles Margo must buy for the cost to be the same at both stores, we need to set the two algebraic expressions for the cost at each store equal to each other and solve for the number of tiles.
Let x be the number of tiles she buys.
The algebraic expression for the cost at the first store is 0.79x + 24, and the algebraic expression for the cost at the second store is 1.19x.
Setting these two expressions equal to each other, we get:
0.79x + 24 = 1.19x
Solving for x, we get:
24 = 0.4x
x = 60
Therefore, Margo must buy 60 tiles for the cost to be the same at both stores.
Learn more about algebraic expressions here: https://brainly.com/question/4344214.
#SPJ4
A python is slithering at a constant speed of 20 feet per minute. How far will the python
travel in .5 hours?
Answer:
600 feet
Step-by-step explanation:
Half an hour is 30 minutes.
If the snake moves 20 feet per minute, you can multiply the 20 by 30.
600.
a normalized binary number consists of three parts. these are:
Main Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaSupporting Question and Answer:
What is a sign bit in a normalized binary number?
The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.
Body of the Solution: A normalized binary number typically consists of the following three parts:
Sign bit: This is the leftmost bit of the number and indicates whether the number is positive or negative. A value of 0 indicates a positive number, while a value of 1 indicates a negative number.Exponent: This is the next set of bits that represent the exponent of the number in binary form. The exponent represents the power to which the base (2) is raised to obatain the actual value of the number. Mantissa: This is the remaining bits that represent the fractional part of the number in binary form. The mantissa contains the significant digits of the number, which are multiplied by the base raised to the exponent power to obtain the actual value of the number.Final Answer: A normalized binary number typically consists of three parts:
Sign bitExponentMantissaTo learn more about the sign bit in a normalized binary number from the given link
https://brainly.in/question/8955675
#SPJ4
If you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.
a. What is the total interest paid on the 25-year mortgage?
b. What is the total interest paid on the 30-year mortgage?
c. How much more interest is paid on the 30-year loan? Round to the nearest dollar.
d. If you can afford the difference in monthly payments, you can take out the 25-year loan and save all the interest from part c.
What is the difference between the monthly payments of the two different loans? Round to the nearest dollar.
The total interest paid on the 25-year mortgage is given as $134,439.
How to solveIf you borrow $120,000 at an APR of 7% for 25 years, you will pay $848.13 per month. If you borrow the same amount at the same APR for 30 years, you will pay $798.36 per month.
a. What is the total interest paid on the 25-year mortgage? $134,439.
Thus, it can be seen that the total interest paid on the 25-year mortgage is given as $134,439.
Read more about interest here:
https://brainly.com/question/25793394
#SPJ1
Manorialism was a system in which A) boys were trained by a master of farming or trade B) one-third of the farmland was unplanted each season C) peasants were dependent on the lord and his land D) vassals served a lord for protection and his land
Answer:
C: peasants were dependent on the lord and his land.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did it already.
How many lines of symmetry does the following figure have?
ASAP (50pts)
Answer:
there are 5 lines of symmetry in that figure.
find equivalent expression then write corresponding letter on the line for 3(2x + 5)
we have the expression
3(2x+5)
apply distributive property
3(2x)+3(5)
6x+15
answer is 6x+15Can someone please help ??
Answer:
sorry i cant, but download photo math it will help alot
Step-by-step explanation:
What was the first vaccine created for? A. Measles B. Polio C. Small pox D. Mumps
In 1798, the first vaccination (for small pox) was discovered. The most notable achievement of these efforts has been the elimination of smallpox sickness from the world.
Hence, option (c) is correct choice.
In 1721, Lady Mary Wortley Montagu introduced smallpox vaccination to Europe by requesting that her two children be immunised against the disease, as she had seen done in Turkey. Dr. Edward Jenner developed the world's first effective vaccination. He discovered that those who had cowpox were resistant to smallpox.
Edward Jenner, a rural doctor from Berkeley (Gloucestershire), England, conducted the world's first vaccine in 1796. Jenner injected an eight-year-old kid, James Phipps, with pus from a cowpox lesion on a milkmaid's hand.
For more questions on Vaccination
https://brainly.com/question/937188
#SPJ4
....I....Need....Help....ASAP....
Answer:
\( \sqrt{12} \)
Answer:
1 (square root of 72)
Step-by-step explanation:
Ok. You can solve this using the pythagorean thereom. This is because AB is the hypotenuse of a right triangle. Therefore, you can solve this problem by using the square of both sides to find the length of the hypotenuse. 6^2+6^2=c^2.
36+36=72
\(\sqrt 72\)=8.5
8.5 is about what the line looks to be just by eyeing it, and it fits in with the theroem used, therefore I'd say it is #1. Hope that helps.
Lance is a 60-kg runner who, on a good day, runs at a speed of 5 m/s. What is his kinetic energy when he runs at this speed?
Answer: 750 Joules.
Step-by-step explanation:
Use the equation: K = 1/2 x m x s^2
1/2 x 60 = 30.
30 x (5 x 5) 25 = 750
Lance's kinetic energy when he runs at this speed is 750 Joules.
If the government offers to reduce your property taxes by 10 percent if you install solar heating for your home, this would be an example of
If the government offers to reduce your property taxes by 10 percent if you install solar heating for your home, this would be an example of an incentive for renewable energy adoption.
Governments often use various incentives to encourage individuals and businesses to adopt renewable energy sources such as solar heating. In this case, the government is offering a 10 percent reduction in property taxes as a benefit for installing solar heating systems. By providing this incentive, the government aims to promote the use of renewable energy and achieve environmental goals, such as reducing carbon emissions and dependence on fossil fuels. This approach encourages individuals to make sustainable choices and invest in clean energy technologies, ultimately contributing to the overall transition to a more environmentally friendly society.
Learn more about property taxes here
https://brainly.com/question/25844719
#SPJ11
when we conduct time series forecasting it is safest to utilize regression analysis, because then we will not be extrapolating. true or false
False.
When conducting time series forecasting, it is not necessarily safest to utilize regression analysis. Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. However, it may not be the most appropriate technique for time series forecasting.
Time series forecasting involves analyzing and predicting patterns and trends in sequential data over time. Techniques specifically designed for time series analysis, such as ARIMA (Autoregressive Integrated Moving Average) models, exponential smoothing methods, or state space models, are generally more suitable for time series forecasting.
Regression analysis assumes that there is a linear relationship between variables, which may not hold in time series data where patterns can exhibit trends, seasonality, or other complex dynamics. Extrapolation, which involves extending a trend beyond the observed data range, can still occur in regression analysis if not properly accounted for.
Therefore, it is important to choose appropriate time series forecasting methods rather than relying solely on regression analysis to ensure accurate and reliable predictions.
To learn more about Regression analysis refer below:
https://brainly.com/question/28178214
#SPJ11
What is 1/5 of £ 40?
Give your answer in pounds (£).
Answer:
£ 8
Step-by-step explanation:
basic equation:
£40 * 1/5
£ 40/5
£ 8
∵ £ 8 is the 1/5 of £ 40Answer:
We need to find the 1/5 value of £40.We can find the value by multiplying 1/5 by £40.Solution:
\( = \frac{1}{ \cancel5} \times \cancel{40} \: {}^{8} £\)
\( = 1 \times 8£\)
\( = 8£\)
Help please I am really struggling with this practice !
Answer:
The answer would be 71 because x = 9 so y = 71
Plot x(t)=2(t−1)[u(t+1)−u(t)]−2(t−1)[u(t)−u(t−1)] (b) Find ∫
−[infinity]
[infinity]
x(t)δ(t−2)dt
The given function x(t) cannot be directly plotted due to the presence of unit step functions. The integral of x(t)δ(t - 2) dt is -2, obtained by evaluating x(t) at t = 2.
Plot the given function x(t) = 2(t - 1)[u(t + 1) - u(t)] - 2(t - 1)[u(t) - u(t - 1)], you can use the MATLAB `plot` function. However, since the function contains unit step functions, it is not continuous. Therefore, it cannot be plotted directly.
For the second part of the question, to find the integral ∫ x(t)δ(t - 2) dt, where δ(t - 2) is the Dirac delta function centered at t = 2, we can utilize the properties of the Dirac delta function.
The integral of x(t)δ(t - 2) dt can be found by evaluating x(t) at t = 2, which will give the value of x(t) at the location of the Dirac delta function.
Using the given function x(t), we substitute t = 2:
x(2) = 2(2 - 1)[u(2 + 1) - u(2)] - 2(2 - 1)[u(2) - u(2 - 1)]
Simplifying further:
x(2) = 2[u(3) - u(2)] - 2[u(2) - u(1)]
x(2) = 2[u(3) - 2u(2) + u(1)]
Since u(t) is a unit step function, u(t) = 1 for t ≥ 0 and u(t) = 0 for t < 0.
Evaluating x(2) using the unit step function properties:
x(2) = 2[1 - 2(1) + 0] = 2[1 - 2] = 2(-1) = -2
Therefore, the integral ∫ x(t)δ(t - 2) dt is equal to -2.
To know more about step functions refer here
https://brainly.com/question/29640716#
#SPJ11
In 2008, there were 21 states with 10 or more electoral votes, as shown in the table above. Based on the table, what was the median number of electoral votes for the 21 states?
Answer:
A 13
Step-by-step explanation:
Add all the electoral votes together (266)
266 / 21 = 12.666 ~ 13
The median number of given electoral votes is equal to 15, as it is the value at the 5th position in the ordered data set.
To find the median number of electoral votes for the 21 states,
first need to arrange the data in ascending order:
Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55
Frequency: 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1
Next, need to calculate the cumulative frequency (CF) by adding up the frequencies from the lowest electoral vote to the highest:
Cumulative frequency: 4, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 21
The median is the middle value of the data set when it is arranged in ascending order.
Since we have 21 states, which is an odd number, the median will be the value at the 11th position (or 11/2 = 5.5th position).
To find the median, we look for the value at the 5th position (11/2 = 5.5):
Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55
Position: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Therefore, the median number of electoral votes is 15.
learn more about median here
brainly.com/question/300591
#SPJ2
Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
mark has 5410 cups of sugar. he used 145 cups for a pie and 12 of a cup in his iced tea. how many cups of sugar does he have left?
Mark has 5253 cups of sugar left after using 145 cups for a pie and 12/1 cups for his iced tea.
Mark has 5410 cups of sugar, and he used 145 cups for a pie and 12 of a cup in his iced tea. To find out how many cups of sugar he has left, we need to subtract the amount of sugar he used from the total amount of sugar he had:
Total amount of sugar = 5410 cups
Amount of sugar used for pie = 145 cups
Amount of sugar used for iced tea = 12/1 cups (since 12 of a cup is the same as 12/1 cups)
Total amount of sugar used = 145 cups + 12/1 cups = 157 cups
Amount of sugar left = Total amount of sugar - Total amount of sugar used
Amount of sugar left = 5410 cups - 157 cups
Amount of sugar left = 5253 cups
Therefore, Mark has 5253 cups of sugar left after using 145 cups for a pie and 12/1 cups for his iced tea.
To learn more about iced tea please click on below link.
https://brainly.com/question/28531302
#SPJ4
1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)
Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.
We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =
(7 cos t)² = 2π/b = 2π/2π = 1.
The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =
cos (2φt²/m) is √(4πm/φ).
The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
To learn more about trigonometric function visit:
brainly.com/question/25618616
#SPJ11
(b) Describe the important characteristics of the partial autocorrelation function (PACF) for the following models: (i) MA(2), (ii) IMA(2,1), (iii) AR(2), (iv) ARI(1,2), and (v) ARIMA(1,1,2).
(i) MA(2): PACF shows significant values at lag 2 and is close to zero for other lags. (ii) IMA(2,1): PACF shows significant values at lags 1 and 2, indicating autocorrelation at those lags. (iii) AR(2): PACF shows significant values at lags 1 and 2, with exponential decay for higher lags. (iv) ARI(1,2): PACF shows significant values at lags 1 and 2, with a spike at lag 3 due to the integrated component. (v) ARIMA(1,1,2): The PACF will show significant values at lags 1 and 2, and will decay exponentially to zero for higher lags.
The partial autocorrelation function (PACF) is a useful tool for understanding the characteristics of time series models. Here are the important characteristics of the PACF for the given models:
(i) MA(2): The PACF will show significant values at lag 2 and will be close to zero for all other lags, indicating a strong autocorrelation at lag 2.
(ii) IMA(2,1): The PACF will show significant values at lags 1 and 2, and will be close to zero for all other lags. This indicates a strong autocorrelation at lags 1 and 2.
(iii) AR(2): The PACF will show significant values at lags 1 and 2, and will decay exponentially to zero for higher lags. This indicates a strong autocorrelation at lags 1 and 2, with diminishing autocorrelation for higher lags.
(iv) ARI(1,2): The PACF will show significant values at lags 1 and 2, and will have a spike at lag 3 due to the integrated component. It will decay exponentially to zero for higher lags.
(v) ARIMA(1,1,2): The PACF will show significant values at lags 1 and 2, and will decay exponentially to zero for higher lags. The differencing component will introduce a spike at lag 1 in the PACF, indicating a strong autocorrelation at lag 1.
These characteristics of the PACF help in identifying the appropriate model and estimating its parameters for time series analysis.
Learn more about partial autocorrelation here:
https://brainly.com/question/32310129
#SPJ11
If you are paid a salary of $48,240 annually, how much would you expect to make per
month?
0.13
Answer:
B
Step-by-step explanation:
Answer:
$4.20 Per month = $4.2/1month
Step-by-step explanation:
1 year = 12 months
Proportions:
12 months ⇒ $48.24
1 month ⇒ $P
P = 48.24*1/12
P = $4.2
Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a standard deviation of 8. a) If one student is chosen at random, what is the probability that the students score is less than 81 points on this test? b) If 500 students took reading ability test how many would expect to earn score less than 81 points? c) Find the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68.
The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.
To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:
z = (x - μ) / σ
where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:
z = (81 - 65) / 8 = 2.00
Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.
Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.
z = (81 - 65) / 8 = 2.00
P(z < 2.00) = 0.9772
Number of students with score < 81 = 0.9772 x 500 = 489
Therefore, we would expect approximately 489 students to earn a score less than 81 points.
The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:
z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70
z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08
Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.
To know more about probability:
https://brainly.com/question/30034780
#SPJ4
If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.
1
Find Value of y.
=====================================
Work Shown:
EI = EG
3y-10 = 2y
3y-10-2y = 0
y-10 = 0
y = 0+10
y = 10
Note how if y = 10, then
EI = 3y-10 = 3*10-10 = 20EG = 2y = 2*10 = 20Both EI and EG are 20 units long when y = 10. This confirms the answer.
a common everyday counting unit that is used to mean 12 of an object is a____
A common everyday counting unit that is used to mean 12 of an object is a Dozen
Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.
Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."
Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.
Know more about a Dozen here :
https://brainly.com/question/30948187
#SPJ11
Use the factorization A PDP 1 to compute Ak, where k represents an arbitrary integer. [\begin{array}{ccc}a&7(b-a)\\0&b\\end{array}\right] = [\begin{array}{ccc}1&7)\\0&1\\end{array}\right] + [\begin{array}{ccc}a&0(\\0&b\\end{array}\right] [\begin{array}{ccc}1&-7)\\0&1\\end{array}\right]. A^k = ______
The factorization of A PDP 1 to compute A^k = [\begin{array}{cc}1+7ka^k&-7ka^k+7kb^k\\7kb^k&1-7ka^k+49k^2a^k\end{array}].
To compute A^k using the factorization APDP^-1, follow these steps:
1. Factorize A into APDP^-1:
A = [\begin{array}{cc}a&7(b-a)\\0&b\end{array}] = [\begin{array}{cc}1&7\\0&1\end{array}] [\begin{array}{cc}a&0\\0&b\end{array}] [\begin{array}{cc}1&-7\\0&1\end{array}]
2. Compute P^k and P^-1^k by raising P and P^-1 to the power of k:
P^k = [\begin{array}{cc}1&7k\\0&1\end{array}]
P^-1^k = [\begin{array}{cc}1&-7k\\0&1\end{array}]
3. Compute D^k by raising the diagonal elements of D to the power of k:
D^k = [\begin{array}{cc}a^k&0\\0&b^k\end{array}]
4. Compute A^k using the formula A^k = P^k * D^k * P^-1^k:
A^k = [\begin{array}{cc}1&7k\\0&1\end{array}] [\begin{array}{cc}a^k&0\\0&b^k\end{array}] [\begin{array}{cc}1&-7k\\0&1\end{array}]
5. Perform the matrix multiplication:
A^k = [\begin{array}{cc}1+7ka^k&-7ka^k+7kb^k\\7kb^k&1-7ka^k+49k^2a^k\end{array}]
So, A^k = [\begin{array}{cc}1+7ka^k&-7ka^k+7kb^k\\7kb^k&1-7ka^k+49k^2a^k\end{array}].
Learn more about factorization visit:
https://brainly.com/question/29474540
#SPJ11
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
On the number line above, where would you find D so that it is 3/4 of the way from X to Y?
Answer:
14
Step-by-step explanation:
Distance between X and Y = 17 - 5 = 12
\(\dfrac{3}{4} \ of \ 12 = \dfrac{3}{4}*12=3*3=9\)
3/4 of the way from X to Y = 5 + 9 = 14
Please help! Thanks if its right.
Answer:
v=bh/3
Step-by-step explanation:
Answer:
v=bh/3
Explanation:
What is the volume of the rectangular prism?
^answer:^
~10 cubic feet~
^step by step explanation:^
first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.
Error Analysis - Describe and correct the error a student made when multiplying two
binomials.
(2x + 2) (4x - 1)
8x ² - 2
Answer:
The correct answer is:
Error made: The student multiplied only corresponding terms in each bracket with each other
Correction: Each term in one bracket is to be multiplied with every term in the next bracket
Step-by-step explanation:
The student paired the terms in the brackets into like terms and multiplied the like terms like this:
(2x + 2) × (4x - 1)
collecting like terms: (2x, 4x) (2, -1)
(2x × 4x) (2 × (-1)) = 8x² - 2.
The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:
(2x + 2) (4x - 1)
Each term in one bracket multiplies each term in the second bracket.
= 2x (4x - 1) + 2(4x -1)
= 8x² - 2x + 8x - 2
= 8x² + 6x - 2