Answers
Answer:
x=15
supplementary angle equals 180
Related Questions
A student suggests the following algorithm for calculating 72 - 38. 72 Two minus eight equals negative six. -38 -6 Seventy minus thirty equals forty. Forty plus negative six equals thirty-four, 34 which therefore is the result. As a teacher, what is your response? Does this procedure always work? Explain.
Answers
The student's suggested algorithm for subtracting numbers is incorrect. The algorithm produces the correct result in this specific case (72 - 38), but it does not work consistently for all subtraction problems.
The student's algorithm suggests subtracting the ones digit first and then subtracting the tens digit. While this approach may give the correct answer in some cases, it does not work for all subtraction problems. Subtraction is an operation where we need to consider the place value of the digits being subtracted.
In the case of 72 - 38, the student's algorithm produces the correct result of 34. However, if we apply the same procedure to a different subtraction problem, such as 43 - 29, we would get an incorrect result of 14 instead of the correct answer, 14. The student's algorithm fails to consider borrowing or regrouping when subtracting digits from different place values.
As a teacher, it is important to guide the student in understanding the standard algorithm for subtraction, which involves subtracting digits starting from the rightmost place value and borrowing when necessary. By teaching the correct procedure, students can consistently obtain accurate results for subtraction problems. It is crucial to explain the limitations of the student's suggested algorithm and emphasize the importance of understanding and applying the appropriate method for subtracting numbers.
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The term to term rule for a sequence is Multiply by 2 the sequence starts a 2a ___ ___ the total value of the first three terms is 63 work out the total value of the first four terms
Answers
Answer:
135
Step-by-step explanation:
The sequence are:
a, 2a, 4a, 8a, 16a.....
the total value of the first three terms is 63
That is,
a + 2a + 4a = 63
7a = 63
a = 63/7
a = 9
work out the total value of the first four terms
First four terms are: a, 2a, 4a, 8a
Where,
First term, a = 9
Second term, 2a = 2*9 = 18
Third term, 4a = 4*9 = 36
Fourth term, 8a = 8*9 = 72
The total value of the first four terms = 9 + 18 + 36 + 72
= 135
The total value of the first four terms = 135
Worth 50 points
The table shows the inputs and corresponding outputs for the function f(x) = StartFraction 1 Over 8 EndFraction(2)x. A 2-column table with 5 rows. Column 1 is labeled x with entries 0, 2, 4, 6, 8. Column 2 is labeled f (x) with entries StartFraction 1 Over 8 EndFraction, one-half, 2, 8, 32. Find the following values of the function. f -1 (one-half) = f -1 (8) =
Answers
Answer:2,6
Step-by-step explanation:Edge2021
Answer
2,6
Step-by-step explanation:
Find the Wronskian for the set of functions (3x^2, e^x, xe^x}, then determine if they are linearly dependent or independent.
Answers
The Wronskian for the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) is W(0) = 1 and the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) are linearly independent.
To find the Wronskian for the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) and determine if they are linearly dependent or independent, we calculate the determinant of the matrix formed by taking the derivatives of these functions and evaluating them at a specific point.
The Wronskian is a determinant that helps determine if a set of functions is linearly dependent or independent.
For the given set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]), we need to calculate the Wronskian.
First, we take the derivatives of the functions:
f₁(x) = 3[tex]x^2[/tex]
f₂(x) = [tex]e^x[/tex]
f₃(x) = x[tex]e^x[/tex]
Taking the first derivatives, we get:
f₁'(x) = 6x
f₂'(x) = [tex]e^x[/tex]
f₃'(x) = [tex]e^x[/tex] + x[tex]e^x[/tex]
Next, we form a matrix with these derivatives:
| 6x [tex]e^x[/tex] [tex]e^x[/tex] + x[tex]e^x[/tex] |
To calculate the Wronskian, we evaluate this matrix at a specific point, let's say x = 0, and take the determinant:
W(0) = | 6(0) [tex]e^0[/tex] [tex]e^0[/tex] + 0[tex]e^0[/tex] |
| 0 1 1 |
| 1 1 1 |
Simplifying, we find:
W(0) = | 0 1 1 |
| 1 1 1 |
| 1 1 1 |
Calculating the determinant, we have:
W(0) = (0)(1)(1) + (1)(1)(1) + (1)(1)(1) - (1)(1)(1) - (1)(1)(0) - (1)(1)(1) = 1
Since the Wronskian is non-zero (W(0) ≠ 0), the set of functions (3[tex]x^2[/tex], [tex]e^x[/tex], x[tex]e^x[/tex]) are linearly independent.
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(2 x 10^4) + (7 X 10^4) =
Answers
Answer:
90,000
Step-by-step explanation:
10^4=10,000.
2*10,000=20,000
7*10,000=70,000
20,000+70,000=90,000
PLEASE HELP! all u have to do is determine if it is positive or negative!
Answers
Answer:
I think it is positive.
Step-by-step explanation:
Iam soory if Iam wrong.
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:
What is the distance, CD, between the boats?
230.9 ft
284.3 ft
115.5 ft
173.2 ft
Answers
Answer:
Option (1)
Step-by-step explanation:
By applying tangent rule in ΔABD,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB}{BD}[/tex]
BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]
BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]
BD = 200√3 ft
By applying tangent rule in ΔABC,
tan(60°) = [tex]\frac{AB}{BC}[/tex]
[tex]\sqrt{3}=\frac{200}{BC}[/tex]
BC = [tex]\frac{200}{\sqrt{3}}[/tex]
Since, CD = BD - BC
CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]
= 346.41 - 115.47
= 230.94 ft
≈ 230.9 ft
Therefore, Option (1) will be the correct option.
Answer:
230.9 ft
Step-by-step explanation:
person above said it was correct answer
The areas of two squares
in the model are given.
Find the area of the
third square.
625 units2
400
units2
Answers
Answer:
225 u²
Step-by-step explanation:
The area of the larger square is 625 u². We know that area of square is the square of side. So ,
⇒ a² = 625 u²
⇒ a = √625 u²
⇒ a = 25 u .
Similarly finding the side of second square as ,
⇒ a'² = 400 u²
⇒ a' = √400 u²
⇒ a' = 20 u
If we see these are the hypontenuse and base of a right a Angled triangle formed between the square. The measure of perpendicular will be the side lenght of third square.
⇒ h² = p² + b²
⇒( 25u)² = p² + (20u)²
⇒ p² = 625 - 400 u²
⇒ p² = 225 u²
This p² is only the area of square .
Hence the area of third square is 225 u² with a side lenght of 15 u .Answer:
225 units
Step-by-step explanation:
1. Claretta works part-time at a coffee shop. Her
weekly paychecks in March are: $87.00, $96.00,
$84.25, and $100.75. Find the median of her
paychecks.
Answers
helppppppppppp meeeeeeeeeee
Answers
Answer:
330
Step-by-step explanation:
Answer:
335.5
Step-by-step explanation:
Which equation best represents the relationship between x and y in the graph?
A. y = -2x + 1.5
B. y = -2x + 3
C. y = -1/2x + 3
D. y = -1/2x + 1.5
Answers
99999 help me plz plz plz plz
Answers
Answer:
hi
Step-by-step explanation:
i think 10 in
hope it helps
Answer:
10
Step-by-step explanation:
The triangles are the same size, and if you look at the picture, you can see that MN and QR are the same, making QR 10 in.
PLEASE ANSWER!! Write the equation of a line that passes through the points (-2,-9) and (2,-9).
Answers
Answer:
Step-by-step explanation:
the equation in the point slope form is
and reducing the equation (slope-intercept form)
Step-by-step explanation:
first we calculate the slope of the line with the formula:
where is a point where the line passes, and is another point where the line passes.
Since we have the following points:
(8, -2)
(5,5)
we conclude that
now we substitute this values to find the slope:
to find the equation now that we know the slope we use the point-slope equation:
and we subtitute the slope and the values of and :
we reduce this equation:
the equation in the point slope form is
and reducing the equation (slope-intercept form)
Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .
th sides are 8 and 10
Answers
1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet
Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet
2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters
Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters
3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches
Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches
4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards
Volume = π*6^2*20 = 2261.9 cubic yards
5.surface area = 2*(9*7+2*2+2*9) = 190 cm
Volume = 2*7*9 = 126 cubic cm
6. surface area = 2*(11*11+11*11+11*11) = 726 mm
Volume = 11 *11*11 = 1331 cubic cm
Please help me! I need help solving this!
Answers
Answer:
18Step-by-step explanation:
if An = n+4
then A14 = 14+4 = 18
that's all .....have fun
determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK
Answers
Answer:
m=7/36
Step-by-step explanation:
we need two points in order to find the ratio of the change in y and change in x, which is the slope
m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)
m=(11-4)/(17-(-19))
m=7/36
In the process of completing the square, 3x^2+7x-12 becomes x^2+7/4x=4. True or False
Answers
Answer: False
Step-by-step explanation:
solve for x. round your answer to the nearest tenth
Answers
Answer:
11.9
Step-by-step explanation:
Use sin
Sin ratio is opposite over hypotenuse
Sin [tex]57^{o}[/tex] = [tex]\frac{10.8}{x}[/tex]
x = [tex]\frac{10.8}{sin57^{o} }[/tex]
x = 11.9
Let f(x) = (x + 7)^2 Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f restricted to this domain
Answers
The function f(x) = (x + 7)^2 is one-to-one and non-decreasing for any domain on the real numbers. The inverse of f(x) restricted to this domain is y = √x - 7.
To find a domain on which the function f(x) = (x + 7)^2 is one-to-one and non-decreasing, we need to determine where the function is strictly increasing or non-decreasing and has a one-to-one correspondence.
First, let's examine the graph of f(x) = (x + 7)^2 to understand its behavior. The function is a parabola that opens upward, centered at x = -7, and the vertex is the lowest point on the graph.
Since the vertex is the lowest point and the parabola opens upward, the function is non-decreasing for all x-values. Therefore, the function is non-decreasing over its entire domain.
To find a domain on which the function is one-to-one, we observe that the function is not symmetric about the y-axis. Hence, the domain can be any subset of the real numbers.
Now, let's find the inverse of f(x) restricted to this domain. Since f(x) is non-decreasing, the inverse will also be non-decreasing. The inverse function can be found by interchanging the roles of x and y in the original equation and solving for y.
Let's proceed with finding the inverse:
Start with the equation f(x) = (x + 7)^2.
Interchange x and y: x = (y + 7)^2.
Solve for y:
Take the square root of both sides: √x = y + 7.
Subtract 7 from both sides: y = √x - 7.
The inverse function of f(x) restricted to any domain on which it is one-to-one and non-decreasing is given by y = √x - 7.
Note that the domain can be any subset of the non-negative real numbers, since the square root function is defined only for non-negative values.
In summary, the function f(x) = (x + 7)^2 is one-to-one and non-decreasing for any domain on the real numbers. The inverse of f(x) restricted to this domain is y = √x - 7.
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Let S = {3,4,5,6,7,8,9) be a sample space such that the following are true. Use the information to answer the questions. E = (8,9) F = {7,8) G = {4,6,9) a) Are E and F mutually exclusive? Ο Nο Yes O Cannot be determined b) Are F and G mutually exclusive? Ο Nο Yes Cannot be determined.
Answers
(a) E and F are not mutually exclusive due to the overlapping value of 8. So the answer is No or option A.
(b) F and G are mutually exclusive since they have no common outcomes. So the answer is No or option A.
a) E and F are not mutually exclusive. To be mutually exclusive, two events cannot occur simultaneously. In this case, both E and F have an overlapping value of 8. The interval (8,9) is included in both E and F, indicating that there is a common outcome (8) between the two events.
Therefore, E and F are not mutually exclusive.
b) F and G are mutually exclusive. In order for two events to be mutually exclusive, they must have no common outcomes. Looking at the intervals (7,8) and (4,6,9), there is no overlapping value between F and G. F includes the value 7, which is not present in G, and G includes the values 4, 6, and 9, which are not present in F.
Therefore, there are no common outcomes between F and G, making them mutually exclusive.
In summary, E and F are not mutually exclusive due to the overlapping value of 8, while F and G are mutually exclusive since they have no common outcomes.
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if y = .5x + 2, what is the value of x when y=4
Answers
y=0.5x+2
y=4
4=0.5x+2
-2 -2
2=0.5x
/0.5 /0.5
4=x
---
hope it helps
Answer:
[tex]x[/tex] = 4
Step-by-step explanation:
If [tex]y[/tex] = 4 then it would look like:
[tex]y[/tex] = .5[tex]x[/tex] + 2
Since .5 is 0.5, Half of 4 equal 2, PLUS the other 2 making it 4!!
Please help me with my math( if you help i will give you brainliest)
Answers
Answer:
4. 50
5. 35
6. 45
7. 30
8. No mode
9. 42
10. 22, 25, 45, 73, 80
11. 15, 25, 30, 48, 50
12. 58
13. 35
14. 51
15. 24
16. 22.13
17. 10.22
18. Iffy's team had a lower performance than Kaiya's team. Iffy's team collected an average of 35 cans, whereas, Kaiya's team collected an average of 50 cans!! Kaiya's team also had very versatile and active players who were able to collect more, individually, unlike Iffy's team.
Step-by-step explanation:
7.) Jessica took her parents out to dinner. The total
bill was $48.55. She left an 18% tip. What was
Jessica's total cost for dinner?
Answers
Answer:
$57.289
Step-by-step explanation:
18% of 48.55
48.55 × 18 ÷ 100
= 8.739
48.55 + 8.739
=$57.289
Write a simplified polynomial expression that can be used to represent the perimeter of the rectangle. 3x-7 and x-7
Answers
Answer:
P = 8x-28
Step-by-step explanation:
Given that,
Length = (3x-7)
Width = (x-7)
We need to find the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by :
[tex]P=2 (l+b)\\\\P=2(3x-7+x-7)\\\\P=2(4x-14)\\\\P=8x-28[/tex]
So, the perimeter of the rectangle is equal to 8x-28.
HELP I WILL MARK BRAINLIEST
Answers
Answer:
the answer is A.
Step-by-step explanation:
6.
At its first stop a bus picked up 10
people. At the next stop, 8 people got
on and 3 people got off. At the third
stop, 5 people got on and 12 people
got off. How many passengers were
then on the bus?
Answers
Answer:
8
Step-by-step explanation:
10+8-3+5-12=
Which relations represent functions? Choose all that apply.
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
help me please-
Answers
Answer:
its 5,1
Step-by-step explanation:
just took the test
The units for square centimeters are written as
Check all that apply.
O A. cm2
B. sq. cm
C. km2
D. sq.m
E cm
Answers
What is the solution to the equation
Answers
Answer:
n=1
Step-by-step explanation:
4/5n-3/5=1/5n
4n/5-3/5=1/5n
4n/5-3/5=n/5
4n-3/5=n/5
4n-3=n
-3=n-4n
-3=-3n
1=n
n=1
Answer:
n=1
isolate the n's on one side and isolate the 3/5 to the other
4/5n-1/5n = 3/5
3/5n = 3/5
n=1
Solution(s) of the differential equation *y'= 2y
y = 2x only
А. y = 0 and Y = 22
y=0 only
y = 0 and 2x
Answers
The solutions to the differential equation y' = 2y are y = 0 and y = 2x. The solution y = 0 represents a constant function. The solution y = 2x represents a family of exponential functions.
The given differential equation is y' = 2y, where y' represents the derivative of y with respect to x. To solve this equation, we can separate variables by moving all terms involving y to one side and terms involving x to the other side:
dy/y = 2dx
Next, we integrate both sides of the equation. The integral of dy/y is ln|y|, and the integral of 2dx is 2x:
ln|y| = 2x + C
Here, C is the constant of integration. To simplify the equation, we can rewrite it as:
|y| = e^(2x + C)
Since e^(2x + C) is always positive, we can remove the absolute value sign:
y = ±e^(2x + C)
Now, let's consider the two cases separately.
Case 1: y = 0
If y = 0, then the exponential term becomes e^C, which is a constant. This implies that y remains zero for all values of x. Therefore, y = 0 is a solution to the differential equation.
Case 2: y ≠ 0
If y ≠ 0, we can rewrite the solution as:
y = ±e^C * e^(2x)
Since e^C is a constant, we can replace it with another constant, let's call it K:
y = ±K * e^(2x)
Here, ±K represents a family of exponential functions that grow or decay exponentially with a rate proportional to 2. Each value of K corresponds to a different solution to the differential equation.
In summary, the solutions to the differential equation y' = 2y are y = 0 and y = ±K * e^(2x), where K is a constant. The solution y = 0 represents a constant function, while y = ±K * e^(2x) represents a family of exponential functions.
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