Answer:
37
Step-by-step explanation:
which hemisphere is tilted towards the sun in december?!
Answer:
Northern Hemisphere
Step-by-step explanation:
The tilt's orientation with respect to space does not change during the year; thus, the Northern Hemisphere is tilted toward the sun in June and away from the sun in December, as illustrated in the graphic below.
Answer:
ThThe southern hemisphere
Step-by-step explanation:
pls help my friend i can’t let him fail this
The value of x in the triangle is 17.
How to find angles in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Using the exterior angle theorem, we can find the value of x in the triangle as follows:
m∠BHY = (2x + 7)°
m∠HBY = (8x - 18)°
m∠NYB = (4x + 91)°
Therefore,
2x + 7 + 8x - 18 = 4x + 91
10x - 11 = 4x + 91
10x - 4x = 91 + 11
6x = 102
divide both sides by 6
x = 102 / 6
x = 17
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The __________ shows the number of data items with values less than or equal to the upper class limit of each class.
Answer: Cumulative frequency distribution
Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)
Both Susana and Greg love to collect stamps. Greg has 70 stamps and Susana has 50
stamps How many more stamps does Susana have than Greg?
Answer:
20
Step-by-step explanation:
70-50 is 20
What is the value of c?
Answer: 51 degrees
Step-by-step explanation:
Angle sum of a triangle: 180 degrees
78 + 51 = 129
180 - 129 = 51
Hector left his house at (−6, 13) on a map of Coleville and walked to the zoo at (−6, 2). From there he walked east to his friend’s house. He walked a total distance of 25 blocks. If each unit on the map represents one block, what are the coordinates of Hector’s friend’s house?
:( this is hard....
the software he is using indicates that the 95% prediction interval for percent potassium when nitrogen is 18 ppm is (0.87%,1.02%) . how should willard interpret this prediction interval?
Willard should interpret the 95% prediction interval for percent potassium when nitrogen is 18 ppm as a range of values within which the true value of percent potassium is likely to fall with a 95% probability.
Specifically, the prediction interval (0.87%, 1.02%) suggests that if Willard were to measure the percent potassium in a large number of soil samples with a nitrogen level of 18 ppm and calculate the prediction interval for each sample, then 95% of the prediction intervals would contain the true value of percent potassium.
The lower and upper limits of the prediction interval correspond to the lower and upper bounds of the plausible range for percent potassium, given the observed nitrogen level. In this case, the interval (0.87%, 1.02%) indicates that Willard can be 95% confident that the true value of percent potassium for a soil sample with nitrogen level 18 ppm falls between 0.87% and 1.02%. However, it is important to note that the prediction interval is based on statistical assumptions and may not capture all sources of uncertainty or variability in the data. Therefore, it is important to interpret the prediction interval with caution and in the context of the specific statistical model and assumptions used to derive it.
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Express the ratio below in its simplest form
12:6
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
3. (25 points) In the Solow model, suppose that the per worker output is y=3
k
. Suppose also that the saving rate is 40%, the population growth is 7% and the depreciation rate is 15%. Recall that the steady-state investment can be written as (d+n)k and investment is equal to saving in steady state. a. Calculate the steady-state level of capital-labor ratio and output per worker. b. Calculate the steady-state consumption per worker. c. If the golden-rule level of capital is k
G
=46.49, what government measures can increase the consumption per worker? d. Suppose the saving rate increases to 55%. What is the steady-state level of capital-labor ratio, output per worker and consumption? In this case, should the government policy be different from that in (c)? e. Explain intuitively what causes the difference in the levels of variables in (a), (b), and (d).
The intuition behind these results is that the parameters and saving rate chosen in this scenario do not allow for sustained economic growth and positive steady-state levels of output and consumption per worker. The economy lacks the necessary capital accumulation to drive productivity and increase output and consumption.
To solve the questions, we'll use the Solow model and the given parameters.
Given:
Per worker output: y = 3k
Saving rate: s = 40% = 0.4
Population growth rate: n = 7% = 0.07
Depreciation rate: δ = 15% = 0.15
(a) Steady-state level of capital-labor ratio (k*) and output per worker (y*):
In the steady state, investment is equal to saving, so (d + n)k = sy.
Since d + n = δ + n, we have (δ + n)k = sy.
Setting the investment equal to saving and substituting the given values:
(0.15 + 0.07)k = 0.4(3k)
0.22k = 1.2k
0.22k - 1.2k = 0
-0.98k = 0
k* = 0 (steady-state capital-labor ratio)
Substituting k* into the output per worker equation:
y* = 3k* = 3(0) = 0 (steady-state output per worker)
(b) Steady-state consumption per worker (c*):
In the steady state, consumption per worker is given by c* = (1 - s)y*.
Substituting the given values:
c* = (1 - 0.4)(0) = 0 (steady-state consumption per worker)
(c) Measures to increase consumption per worker at the golden-rule level of capital (kG = 46.49):
To increase consumption per worker at the golden-rule level of capital, the saving rate (s) should be decreased. By reducing the saving rate, more resources are allocated to immediate consumption rather than investment, resulting in higher consumption per worker.
(d) Steady-state level of capital-labor ratio (k*), output per worker (y*), and consumption (c*) with a saving rate of 55%:
In this case, the saving rate (s) is 55% = 0.55.
Using the same approach as in part (a), we can calculate the steady-state capital-labor ratio:
(δ + n)k = sy
(0.15 + 0.07)k = 0.55(3k)
0.22k = 1.65k
0.22k - 1.65k = 0
-1.43k = 0
k* = 0 (steady-state capital-labor ratio)
Substituting k* into the output per worker equation:
y* = 3k* = 3(0) = 0 (steady-state output per worker)
Substituting the given values into the consumption per worker equation:
c* = (1 - 0.55)(0) = 0 (steady-state consumption per worker)
In this case, the government policy should be the same as in part (c) since both cases result in a steady-state capital-labor ratio, output per worker, and consumption per worker of 0.
(e) Intuition behind the differences in levels of variables:
The differences in the levels of variables between (a), (b), and (d) can be explained as follows:
In (a), with the given parameters and a saving rate of 40%, the steady-state capital-labor ratio, output per worker, and consumption per worker are all 0. This means that the economy is not able to accumulate enough capital to sustain positive levels of output and consumption per worker.
In (b), the steady-state consumption per worker is also 0, as the economy is not producing any output per worker to consume.
In (d), even with an increased saving rate of 55%, the steady-state levels of capital-labor ratio, output per worker, and consumption per worker remain at 0. This indicates that the saving rate alone cannot overcome the lack of initial capital to generate positive levels of output and consumption per worker.
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A chocolatier has 24 caramels chocolates and 36 milk chocolates to put in a boxes each box must have the same number of each type of chocolate what is the greatest number of boxes that the chocolatier can make using all the chocolates
Answer: 4 boxes
Step-by-step explanation: 6 caramel chocolates and 9 milk chocolates in each box.
Pls real answer only
Write an equation for a line with a slope of 3 and crosses the y-axis at the orgin.
Help me
Help Me
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If you do I will give you Ten RaMeN NoOdLe bOwLs at Ichiraku Ramen
Its the Best In The Hidden Leaf Village! Believe It!
(Answer All.. be Fast I might eat the noodles)
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22
A cruise ship can cover 21 nautical miles in 378 minutes. How many nautical miles will it travel in 108 minutes?
A. 4
B. 8
C. 10
D. 6
Answer: D/ 6.
Step-by-step explanation: First, you have to do division to find out how many minutes = 1 nautical mile.
378 divided by 21= 18.
Then, you would do 108 divided by 18, to find out the answer; 6.
To double check your work, get the answer you got and multiply it by the minutes per mile which is 18.
18 x 6 = 108.
Therefore, it will be 6 nautical miles in 108 minutes.
find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....
Answer:
Step-by-step explanation:
We are given the sequence
\(15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0\)
Since we had to find the differences twice, it is a second degree polynomial
\(y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\\)
so,
\(y = 3n^2 + 5n + 7\)
Use the slope formula to find the slope betweenthe 2 points:(1, 1)and(--4, -3)m=-(Plot (1,1) and (-4,-3) and draw the line:Use the graph to confirm the slope
The slope between two points A and B is given by the formula:
\(m=\frac{y_B-y_A}{x_B-x_A}\)Replace the coordinates of the given points (1,1) and (-4,-3) to find the slope between those two points:
\(m=\frac{(1)-(-3)}{(1)-(-4)}=\frac{1+3}{1+4}=\frac{4}{5}\)Plot the points (1,1) and (-4,-3). Then, draw the line through them:
Notice that the line goes up by 4 units for each 5 units that it goes to the right. This confirms that the slope is 4/5.
Therefore, the value of the slope of the line that passes through the points (1,1) and (-4,-3) is 4/5.
Subtract -134 from the sum of 38 and -87.
Answer:
\(\boxed{85}\)
Step-by-step explanation:
Sum of 38 and -87:
=> 38 + (-87)
=> 38 - 87
=> -49
Subtraction of -134 from -49:
=> -49 - (-134)
=> -49 + 134
=> 85
Write an explicit function in terms of n that describes the following sequence:
−2, 4, −8, 16, −32, 64
Answer:
aₙ = -2(2)^(n-1)
Step-by-step explanation:
construct a quadratic equation whose root are 2-√3 and 2+√3
Step-by-step explanation:
A quadratic equation can be constructed from their roots,
\((x - p)(x - q)\)
where p and q are the roots.
Here the roots are
\(2 - \sqrt{3} \)
and
\(2 + \sqrt{3} \)
So we have
\((x - (2 - \sqrt{3} ))(x - (2 + \sqrt{3} ))\)
\( {x}^{2} - 2x - x \sqrt{3} - 2x + x \sqrt{3} + 4 - 3\)
\( {x}^{2} - 4x + 1 = 0\)
So our answer is x^2
\( {x}^{2} - 4x + 1 = 0\)
SHOW WORK PLEASE Find the future value of an annuity of $500 per year for 12 years if the interest rate is 5%.
The future value of an annuity of $500 per year for 12 years, with an interest rate of 5%, can be calculated using the future value of an ordinary annuity formula. The future value is approximately $7,005.53.
To calculate the future value of an annuity, we can use the formula:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the annuity,
P is the annual payment,
r is the interest rate per compounding period,
n is the number of compounding periods.
In this case, the annual payment is $500, the interest rate is 5% (or 0.05), and the number of years is 12. As the interest is compounded annually, the number of compounding periods is the same as the number of years.
Plugging the values into the formula:
FV = $500 * [(1 + 0.05)^12 - 1] / 0.05
= $500 * [1.05^12 - 1] / 0.05
≈ $500 * (1.795856 - 1) / 0.05
≈ $500 * 0.795856 / 0.05
≈ $399.928 / 0.05
≈ $7,998.56 / 100
≈ $7,005.53
Therefore, the future value of the annuity of $500 per year for 12 years, with a 5% interest rate, is approximately $7,005.53.
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explain how you determined which distribution to use. the t-distribution will be used because the samples are independent and the population standard deviation is not known. the standard normal distribution will be used because the samples are independent and the population standard deviation is known
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
What is t-distribution and normal distribution ?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
In graphical form, the normal distribution appears as a "bell curve".
The normal distribution is the proper term for a probability bell curve.
In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.
Normal distributions are symmetrical, but not all symmetrical distributions are normal.
The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.
Therefore,
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.
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Solve each equation.
X+7/3=4
Answer:
\(x = \frac{5}{3} \\\\\)
Step-by-step explanation:
To solve this problem, we need to go over an important fact:
To solve equations, we need to understand that it's like a see-saw. If you put something on one side of the see-saw, it will tip over. To preserve balance on the see-saw, you would but the same weight on the other side too. The same goes for equations. Whatever you do to one side of the equation, you do on the other.
So, we have the equation:
\(x + \frac{7}{3} = 4\)
We want to solve for the variable x. Or, we want to get x by itself on one side of the equation, preferably the left because it's already there. This means we get rid of the \(\frac{7}{3}\) term. To do that, we subtract \(\frac{7}{3}\) on the left side. But, we don't want the "see-saw" to tip over. So, we subtract \(\frac{7}{3}\) on the right side, like so:
\(x + \frac{7}{3} - \frac{7}{3} = 4 - \frac{7}{3}\)
\(\frac{7}{3} - \frac{7}{3}\) is 0. But, \(4 - \frac{7}{3}\) is trickier. We use common denominators to help us:
\(x = \frac{12}{3} - \frac{7}{3}\)
Simplify, and we get:
\(x = \frac{5}{3} \\\\\)
let y b t be the solution to the differential equation above with initial condition b 0 20. (a) is the bird gaining weight faster when it weighs 40 grams or when it weighs 70 grams? explain your reasoning. (b) find 2 2 d b dt i
The answer is that the bird is gaining weight faster when it is weighing 40 grams.
The given problem is a differential equation problem with initial conditions and
\(\frac{dB}{dt}\) = \(\frac{1}{5}\) (100-B)
where B(t) is the solution to the differential equation with initial condition as B(0)=20g.
Now, \(\frac{dB}{dt}\) at B=40 is \(\frac{1}{5}\)(60)=12 and at B=70,
\(\frac{dB}{dt}\) is \(\frac{1}{5}\)(100-70)= 6.
Since \(\frac{dB}{dt}\) is greater when B=40, therefore the bird gains weight faster when it is weighing 40 grams.
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Please help asap! I attached the image.
Step-by-step explanation:
\( {5}^{2} = {x}^{2} + {x}^{2} \\ {5}^{2} = {x}^{4} \\ 5 = \sqrt{ {x}^{4} } \\ 5 = {x}^{2} \\ x = \sqrt{5} =2.236068\\ \)
HELPP! Find the y-intercept of the line on the graph.
Enter the correct answer
Answer:
-2
Step-by-step explanation:
The y-intercept of the line is -2
Answer:
-2
Step-by-step explanation:
because the line is on the -2 on the y axis
Consider the following rational function. f(x) = - 3x + 2/x - 2 Step 3 of 3: Identify four ordered pairs on the graph of the function. Answer
The ordered pairs of the given rational function are:
(-2, -5¹/₂), (-1, -5²/₃),(0, -1), (1, -5),(-1,
How to find the Ordered Pairs?In mathematics, an ordered pair (a, b) is a pair of objects. The order in which objects appear in pairs is important.
The ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. (By contrast, the unordered pair {a, b} corresponds to the unordered pair {b, a}.)
We are given a rational function as:
f(x) = -3x + (2/(x - 2))
Now, to get the ordered pair, we can use different values of x and find the corresponding value of y.
Thus:
At x = 0, we have:
f(x) = -3(0) + (2/(0 - 2))
f(x) = -1
At x = 1, we have:
f(x) = -3(1) + (2/(1 - 2))
f(x) = -5
At x = -1, we have:
f(x) = -3(-1) + (2/(-1 - 2))
f(x) = -5 - 2/3
= -5²/₃
At x = -2, we have:
f(x) = -3(-2) + (2/(-2 - 2))
f(x) = -5 - 1/2 = -5¹/₂
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Given the z scores of reading is 0.5, math is -3 and science is 2.25 What proportion of the normal distribution corresponds to z-score values greater than the child’s z-score on the science test.
Given that the z-score of science is 2.25, the proportion of values greater than this is calculated as,
\(P(z>2.25)=P(z>0)-P(0Since the normal curve is symmetric, the area after z=0 is 0.5,\(P(z>2.25)=0.5-\emptyset(2.25)\)From the Standard Normal Distribution Table,
\(\emptyset(2.25)=0.4878\)Substitute this value,
\(\begin{gathered} P(z>2.25)=0.5-0.4878 \\ P(z>2.25)=0.0122 \end{gathered}\)Thus, 0.0122 proportion of the normal distribution corresponds to z-score values greater than the child’s z-score on the science test.
The local seven-digit telephone numbers in city A have 461 as the first three digits. How many different telephone numbers are possible in city A
The total number of ways in which different telephone numbers are possible in city is 6561.
Permutation -
It relates to a mathematical process that determines the number of possible arrangements of a given set.
A permutation is a term that refers to the number of different ways something can be ordered as well as arranged.The sequence of the arrangement is important in permutations.Now, according to the question:
The first three digits are fixed, we have to select the next four digits.
A total number of available telephone numbers is increased by selecting
one of nine numbers for the fourth digit.nine numbers for the fifth digitnine numbers for the sixth digitnine numbers for the seventh digit.Thus,
= 9×9×9×9
= 6561
Total number of ways in which different telephone numbers are possible in city are 6561.
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Suppose M is the midpoint of Segment AB, P is the midpoint of Segment AM, and Q is the midpoint of segment PM.
If a and b are the coordinates of A and B, find the coordinates of M, P, and Q in terms of a and b.
The coordinates of M, P and Q in terms of a and b are \(M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b\), \(P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b\) and \(Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b\), respectively.
In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:
Location of M
\(\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}\)
\(\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A\)
\(\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B\)
\(M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b\)
Location of P
\(\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}\)
\(\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A\)
\(\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M\)
\(\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\)
\(P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b\)
Location of Q
\(\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}\)
\(\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P\)
\(\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M\)
\(\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)\)
\(\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B\)
\(Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b\)
The coordinates of M, P and Q in terms of a and b are \(M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b\), \(P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b\) and \(Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b\), respectively.
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On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?
Answer:
Adult ticket = $4,5
Student ticket = $3
.
Step-by-step explanation:
Let say adult ticket is x and student ticket is y. so we get:
→ 8x + 13y = 75 (×5) 40x + 65y = 375
→ 10x + 9y = 72 (×4) 40x + 36y = 288
.
Eliminate both equations
40x + 65y = 375
40x + 36y = 288
29y = 87
\(y = \frac{87}{29}\)
\(y = 3\)
.
Substitute the value of y to one of equations
\(10x + 9(3) = 72\)
\(10x + 27 = 72\)
\(10x = 72 - 27\)
\(10x = 45\)
\(x = \frac{45}{10}\)
\(x = 4,5\)
.
Happy to help :)
Answer:
iwiwjjwjwjwjbba abaha ajajaj ajaj
Step-by-step explanation:
wjis sisi sjaijs aibaia aihwoh ha ajj w