Using subtraction, we get 2723237 in base 7 as the answer.
To convert 65210 to base 7 using subtraction, we can follow these steps:
1. Start with the largest power of 7 that is less than or equal to 65210. In this case, that is 7^4 = 2401.
2. Divide 65210 by 2401 to get the quotient and remainder:
65210 ÷ 2401 = 27 with a remainder of 1363
3. Write down the quotient (27) and use the remainder (1363) to repeat steps 1-2 until the remainder is 0:
1363 ÷ 343 = 3 with a remainder of 112
112 ÷ 49 = 2 with a remainder of 14
14 ÷ 7 = 2 with a remainder of 0
4. Write down the remainders in reverse order to get the base 7 equivalent of 65210:
65210 = 2723237 in base 7.
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Using the z table ( The Standard Normal Distribution e), find the critical value (or values) for the left-tailed test with a = 0.10. Round to two decimal places, and enter the answers separated by a comma if needed.
To find the critical value for a left-tailed test with a significance level of 0.10 using the z table, we need to locate the z-score that corresponds to an area of 0.10 in the left tail of the standard normal distribution.
The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The z table provides the cumulative probability values for different z-scores.
Since we are conducting a left-tailed test, we are interested in finding the z-score that represents the critical value. This z-score will have an area of 0.10 to the left of it.
Using the z table, we look for the closest value to 0.10 in the body of the table. The closest value is typically found in the leftmost column (corresponding to the tenths digit) and the top row (corresponding to the hundredths digit).
In this case, the closest value to 0.10 in the z table is 1.28. This means that the critical value for the left-tailed test with a significance level of 0.10 is -1.28 (negative because it is in the left tail).
Therefore, the critical value for the left-tailed test with a = 0.10 is -1.28.
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For seven weeks Amy has a chance to work some extra hours on the weekends she will work at six extra hours each week. How much more we should make each week? How much more will she make in seven weeks?
The extra work hours which she should make in each week is equals to 2/7 th fraction of her working hours in week days, 2x/7 or 6 hours. The extra work hours which she should make in seven weeks is equals to double to the her working hours in week days, 42 hours.
We have Amy has a chance to work some extra hours on the weekends.
Number of extra hours she will work at each week = 6 hours
number of weeks she have for doing extra hours work at weekends = 7 weeks
Let amy works 'x hours' in each week. So, her working rate is x/7 hours/day. As we know very well that weekend consists two days ( Saturday and Sunday). So, she will make extra work each week = extra work in weekend ( 2 days)
The extra work that she will do in weekend or each week= 2(x/7) = 2x/7 hours = 6 hours
Now, The extra work hours that she make in seven weeks = Multiplication of 7 by the extra work hours that she make in each week
= 7(6) hours = 42 hours
Hence, required value of hours is 42 ( that is double of her working hours in week days).
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find all the values of x such that the given series would converge. ∑=1[infinity]6(−5)( 1) 9
The given series will converge for all values of x.
To determine the convergence of the series, we need to analyze the terms and check if they approach zero as n approaches infinity. In this case, the given series is ∑[n=1 to infinity] 6*(-5)^(1/9).
Since (-5)^(1/9) is a constant value, the series can be simplified to ∑[n=1 to infinity] 6*(-5)^(1/9) = ∑[n=1 to infinity] k, where k is a constant.
For any constant value k, the series ∑[n=1 to infinity] k is an infinite geometric series. This series converges if the absolute value of the common ratio is less than 1. In our case, k is a constant value, so the common ratio is 1.
Since the absolute value of the common ratio is 1, the series ∑[n=1 to infinity] k converges for all values of x.
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what is 8 + 5^3= in exponential form?
Answer:
It can't be in exponential form.
What is the slope of the line that
passes through these two points?
(-3, 1)
(3, 3)
slope =
Answer: M=1/3
Step-by-step explanation: We know how to find the slope by using the formula: y2-y1/x2-x1
Then we get 3-1/3--3=2/6=
1/3
Write the equation in standard form for the circle with center (0,8) passing through (0,7/2)
The equation of the circle is 4x² + 4y² - 64y + 207 = 0
Given data ,
To write the equation in standard form for the circle with center (0,8) passing through (0,7/2), we can use the standard form equation of a circle:
(x - h)² + (y - k)² = r²
where (h,k) is the center of the circle and r is the radius. Substituting the given values, we have:
(x - 0)² + (y - 8)² = r²
Now, we need to find the value of r. We know that the circle passes through the point (0,7/2), so we can substitute these values and solve for r:
(0 - 0)² + (7/2 - 8)² = r²
(-7/2)² = r²
49/4 = r²
r = ± 7/2
We take the positive value of r since radius can't be negative. So, the equation of the circle in standard form is:
x² + (y - 8)² = (7/2)²
Expanding and simplifying, we get:
x^2 + y^2 - 16y + 64 = 49/4
Multiplying by 4 to get rid of the fraction, we get:
4x² + 4y² - 64y + 256 = 49
Hence , equation of the circle in standard form 4x² + 4y² - 64y + 207 = 0
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m&m are produced so that 20% are yellow, 20% are red, orange, blue and green are all 10 % each.The rest are brown. If an m&m is picked at random, what is the probability that it’s brown
Answer:
30%
Step-by-step explanation:
yellow = 20%
red = 20%
orange = 10%
blue = 10%
green = 10%
Brown = 100% - (20% + 20% + 10% + 10% + 10%) = 100% - 70% = 30%
So, the probability of getting the brown m&m is 30%
1
2 3
4
5
6
7
8
9 10
Which set of angle measures could be the measures of the interior angles of a triangle?
O 90°, 42°, and 58°
O 60°, 60°, and 60°
O 100°, 48°, and 42°
O 31°, 75°, and 70°
TIME REMAI
42:34
Answer:
1) -
2) +
3) -
4) +
Step-by-step explanation:
сумма внутренних углов треугольника не должна превышать 180 градусов
18 (a) Reflection: in the x-axis (b) Rotation: 180° 19 20 21 22 Triangle DEF with vertices D(-6, -1), E(-3, -2) and F(-5, -7):
(a)Reflection: in the x-axis
(b) Rotation: 180°
The vertices after reflection will be (-6, 1), (-3, 2), (-5, 7) and the vertices after rotation of 180° will be (6, 1), (3, 2), (5, 7).
What is the reflection of points?A form of Euclidean space isometry in geometry is called a point reflection, also known as a point inversion, center inversion, or asymmetry through a point.
An object is said to have point symmetry if it is unchanged under a point reflection, and central symmetry or being centrally symmetric if it is invariant below a point reflective thinking through its center.
As per the given information in the question,
The given vertices of the triangle are:
D(-6, -1), E(-3, -2), F(-5, -7).
a.
The equation towards reflection in the x-axis: (x, -y)
D = (-6, -1)
Reflected vertex = (-6, 1)
E = (-3, -2)
Reflected vertex = (-3, 2)
F = (-5, -7)
Reflected vertex = (-5, 7)
b.
Now let's find out the rotation of 180° of the given points,
As we can see that the vertices are in the third quadrant because both the points of each vertex are negative, so after rotation of 180° it will move to the 1st quadrant where all the points are positive.
So,
D = (-6, -1)
After rotation, D = (6, 1)
E = (-3, -2)
After rotation, E = (3, 2)
F = (-5, -7)
After rotation, F= (5, 7)
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What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
A. 24
B. 16
C. 8
D. 4.5
The value of the 24th term is 16.
Arithmetic progression:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of terms
Therefore,
6 = a + 3d
8 = a + 7d
let's find a and d
2 = 4d
d = 2 / 4
d = 1 / 2
6 = a + 3 / 2
a = 6 - 3 /2
a = 4.5
Therefore, the 24th term can be found as follows;
24th term = 4.5 + 23(0.5)
24th term = 4.5 + 11.5
24th term = 16
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a) -20
b) -8
c) 8
d) 48
Answer:
b. -8
Step-by-step explanation:
Solution Given:
Equation is:
y=8-2x
if x=8
Substitute value of x in above equation
y=8-2*8
y=8-16
y=-7
Answer:
-8
Step-by-step explanation:
This question is asking us what y is equal to when x equals 8. To determine this, we can plug 8 into the equation for x and solve for y. So, let's do just that!
y = 8 - 2x [ Plug in 8 for x ]
y = 8 - 2(8) [ Simplify ]
y = 8 - 16 [ Solve ]
y = -8
So, when x=8, y=-8. Attached is an image of the function graphed that also shows that when x=8, y=-8.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
I really need help ASAP ILL GIVE BRAINLY
Answer: D.
Step-by-step explanation:
You can start out with the form AX = B and solve for matrix X that would yield the answer
Then X = (A^-1)(B)
A = [1 -1]
[1 1]
A^-1 = (1/(1 - (1)(-1)))*[1 1]
[-1 1]
which can be written as (1/2) * [1 1]
[-1 1]
B = [26]
[6]
(A^-1)(B) = (1/2)*[1 1] [6]
[-1 1] [26]
= (1/2)*[32]
[20]
= [16]
[10]
sketch the solution to each system of inequalities
The solution to the system of inequalities y ≤ 2x + 2 and y < -2x - 3 can be represented by a graph. The inequality y ≤ 2x + 2 represents a line with a slope of 2 and y-intercept of 2. The inequality y < -2x - 3 represents a line with a slope of -2 and y-intercept of -3. ( The graph attached)
SYSTEM OF INEQUALITIESThe inequality y ≤ 2x + 2 represents a line in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 2. To graph this inequality, we can first plot the line by using the y-intercept, which is the point (0,2) on the graph. Then, we can use the slope to find additional points that fall on the line, such as (1,4) or (-1,0). Once we have plotted several points, we can connect them to form the line.
The inequality y < -2x - 3 represents a similar line, but with a different slope and y-intercept. In this case, the slope is -2 and the y-intercept is -3. To graph this inequality, we can use the same process as before by first plotting the y-intercept (0,-3), and then using the slope to find additional points that fall on the line.
The solution to the system of inequalities is the area that lies on one side of the first line and the opposite side of the second line, which is the area between the two lines. This area can be represented by shading the region below the first line and above the second line on the graph. It is important to note that the solution region is not including the lines themselves, because the inequalities are strict inequalities.
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Geometry plssss help
-2 - (-8)+ (-14) + 2 =
Answer:
Step-by-step explanation:
-2 - (-8) + (-14) + 2
-2 + 8 + -14 + 2
6 - 14 + 2
-8 + 2 = -6
Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April.Oct Nov Dec Jan Feb March AprilB: Shore 2.4 1.6 2.3 3.2 3.9 3.6 3.3A: Boat 2.0 2.1 1.2 2.2 3.3 3.0 3.8Use a 5% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.What is the value of the sample test statistic? (Use 3 decimal places.)Find (or estimate) the P-value. (Use degrees of freedom equal to the smaller of n1 − 1 and n2 − 1. Use 4 decimal places.)
Sample of test statistic is 2.080 and p-value is 0.082.
From the given information,
α = 0.01;
H₀ : μ = 0
H₁ : μ ≠ 0.
Student's t,
d.f. = 6
d = 0.371
t = 2.08
0.050 < p-value < 0.100
on t graph, shade area to the left of -2.08 and to the right of 2.08.
From TI-84, p-value = 0.0823.
P-value interval > 0.01 for α; fail to reject H₀.
At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.
The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.
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In ⊙P, QR≅ST. Which statement must be true? Select all that apply.
A circle with center point P and four points Q,R,S,T on the circumference. Line segments join the points to make three chords QR,RS and ST. All the four points are connected to center point P making three triangles QPR,RPS and SPT.
A. △QRP ≅ △STP
B. QR¯¯¯¯¯¯¯¯ ≅ RS¯¯¯¯¯¯¯
C. ∠QPS ≅ ∠RPT
D. △RPS ≅ △SPT
E. QR¯¯¯¯¯¯¯¯ ≅ ST¯¯¯¯¯¯¯Which is the length of PQ expressed in terms of π?
A circle with center point N and radius 1. It has a minor arc PQ whose angle measures 99 degree
A. 1140π
B. 2940π
C. 1120π
D. 2920π
The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
The circle with center PGiven that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
The length of the minor arcThe given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
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What is 39.2÷2? equal to?
Answer:
19.6 is the correct answer
Answer:
19.6
Step-by-step explanation:
39.2/2
19.6
URGENT!!! Please help
Answer:
The 3rd answer i think
Step-by-step explanation:
The temperature was -20.5°F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M. was -5.5°F. Which statement identifies Melissa’s error and the correct answer?A.Melissa multiplied incorrectly. The correct answer is -0.5°F.B.Melissa multiplied incorrectly. The correct answer is 9.5°F.C.Melissa added incorrectly. The correct answer is 4.5°F.D.Melissa added incorrectly. The correct answer is 5.5°F.
The statement which identifies Melissa’s error and the correct answer is; Melissa added incorrectly. The correct answer is 4.5°F
TemperatureInitial temperature = -20.5°FChange in temperature per hour = 5°FNumber of hours = 5New temperature = Initial temperature + (Change in temperature per × Number of hours)
= -20.5°F + (5°F × 5)
= -20.5°F + (25°F)
= 4.5°F
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Answer:
C
Step-by-step explanation:
Write a set of whole numbers less
than 15.
Answer:
W={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15............}
Step-by-step explanation:
Answer:
a=( 0,1,2, 3, 4, 5, 6, 7, 8,9, 10,11, 12, 13, 14,) is the correct answer right
What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.
Answer:
68 inches squared
Step-by-step explanation:
First, let's find the area of the squares at the top and bottom. Area for a square is:
L * W = A
Plug in the values...
3 * 3 = 9
Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:
7 (total width) - 3 (middle width) / 2 (because there are two sides)
So it is:
(7 - 3)/2
4/2 = 2
So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:
(B * H)/2 = A
Fill it in...
(2 * 5)/2
10/2 = 5 inches
So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:
5 * 4 = 20 inches
That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...
L * W = A
10 * 3 = 30
So, that means that the area of the hexagon is:
30 + 20 = 50
Plus, the two squares from the beginning:
50 + 18 = 68 inches squared
Therefore, the area of the figure is 68 inches. Hope this helps you!
13. GEOMETRY The formula for the area of a triangle is A = 1/2bh, where A represents the area, b is the base, and h is the height of the triangle. Solve the equation for b.
Answer:
The formula A = (1/2)bh represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle
Step-by-step explanation:
Answer:
b = 2A/h
Solve the equation with substitution
PLEASE HURRY !! Which point is located at (2, -3)?
Answer:
the answer is K for (2,-3)
Which table represents a linear function
Answer:
the first one
Step By Step Explanation:
table one increases by 5 every time while table 2 is randomized numbers
Answer: Table 1
Step-by-step explanation:
For a linear function, the function is increasing or decreasing at a constant rate or constant slope. For the first table, the ordered pair increases by a constant rate of 5. The second table does not increase or decrease by the same rate.
Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?
A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3
Answer:
The answer is A. 5m - 3
Step-by-step explanation:
Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3
PLEASE I NEED HELP!! (100 Points and Brainlest)
Dream car: Mercedes Maybach convertible 2021
Cost of Dream Car: $300,000
Use the space below to set up your equation in order to determine how many hours (x) you must work to pay for your dream car.
Use the picture to figure out how many hours.
Answer:
x=300,000
Step-by-step explanation:
A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?
Answer:
9127.50
Step-by-step explanation:
152,125 x 0.06 = 9127.50
Answer:
$9,127.50
Step-by-step explanation:
152,125×.06=9,127.50
Use the following transfer functions to find the steady-state response Yss (t) to the given input function f(t). Y(S) 8 a. T(S) = f(t) = 6 sin 9t F(S) s(s2 + 10s + 100) Y(s) 10 b. T(S) = f(t) = 9 sin 2t F(s) $2(5 + 1)' =
a. To find the steady-state response Yss(t) to the given input function f(t) = 6sin(9t) using the transfer function T(S) = Y(S)/F(S) = 8/s(s^2 + 10s + 100), we can use the formula Yss(t) = lim(t→∞) y(t), where y(t) = L^-1 [T(S) F(S)], L^-1 denotes inverse Laplace transform, and F(S) is the Laplace transform of f(t).
First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{6sin(9t)} = 6L{sin(9t)} = 6(9/S^2 + 81)
Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 8/s(s^2 + 10s + 100) * 6(9/S^2 + 81)
Y(S) = 432/(s^3 + 10s^2 + 100s)
Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [432/(s^3 + 10s^2 + 100s)]
y(t) = 36(cos(5t) - sin(5t)) + 24e^-5t
Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 36(cos(5t) - sin(5t))
Therefore, the steady-state response Yss(t) to the input function f(t) = 6sin(9t) using the transfer function T(S) = 8/s(s^2 + 10s + 100) is Yss(t) = 36(cos(5t) - sin(5t)).
b. To find the steady-state response Yss(t) to the given input function f(t) = 92(5+1)' using the transfer function T(S) = Y(S)/F(S) = 10/(S^2 + 5S + 6), we can follow the same steps as in part a.
First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{9(2(5+1)')} = 18L{(5+1)'} = 18(S/(S+1)^2)
Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 10/(S^2 + 5S + 6) * 18(S/(S+1)^2)
Y(S) = 180S/(S+1)^2(S+3)
Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [180S/(S+1)^2(S+3)]
y(t) = 60(2e^-t - te^-t) + 60e^-3t
Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 60e^-3t
Therefore, the steady-state response Yss(t) to the input function f(t) = 92(5+1)' using the transfer function T(S) = 10/(S^2 + 5S + 6) is Yss(t) = 60e^-3t.
Hi, I'll help you find the steady-state response Yss(t) for both given transfer functions and input functions.
a. Transfer function: T(s) = 8 / [s(s^2 + 10s + 100)], Input function: f(t) = 6 sin(9t)
To find the steady-state response, we'll first need to find the Laplace Transform of the input function: F(s) = L{6 sin(9t)} = 6(9) / (s^2 + 9^2) = 54 / (s^2 + 81).
Now, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 8 / [s(s^2 + 10s + 100)] * [54 / (s^2 + 81)].
Finally, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.
b. Transfer function: T(s) = 10 / [s^2(5 + s)], Input function: f(t) = 9 sin(2t)
Similarly, we'll find the Laplace Transform of the input function: F(s) = L{9 sin(2t)} = 9(2) / (s^2 + 2^2) = 18 / (s^2 + 4).
Next, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 10 / [s^2(5 + s)] * [18 / (s^2 + 4)].
Lastly, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.
Please note that finding the inverse Laplace Transforms for both cases would require further calculations and possibly the use of tables or software.
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What is the conversion of 68 inches to cm?
Answer:
172.72
Step-by-step explanation:
multiple 2.54 and 68