The first five terms for this recurrence relation are: 5, -5, 5, -5, and 5.
The recurrence relation given is an = -an-1, with initial condition a0 = 5. To find the first five terms of this sequence, we can use the relation repeatedly.
a0 = 5
a1 = -a0 = -5
a2 = -a1 = 5
a3 = -a2 = -5
a4 = -a3 = 5
So the first five terms of the sequence are 5, -5, 5, -5, 5. This sequence oscillates between 5 and -5, with each term being the opposite sign of the previous term.
To find the first five terms of the recurrence relation an = -an-1 with the initial condition a0 = 5, follow these steps:
1. Start with the initial condition: a0 = 5.
2. Apply the recurrence relation formula for the next terms:
a1 = -a0 = -5
a2 = -a1 = -(-5) = 5
a3 = -a2 = -5
a4 = -a3 = -(-5) = 5
The first five terms for this recurrence relation are: 5, -5, 5, -5, and 5.
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Which of the following is not a function? (There may be more than one answer). Explain Clearly Please.
The options that are not functions from those given are; Options B and C.
How to Identify Functions?
The vertical line test is a method that is used to determine given relation is a function or not.
A) This table can be classified as a function because the input x-values have independent y-values as output. The only repeated output value is 7. Thus, we can say that it is likely a quadratic function with x-intercept as x = 2.
B) This cannot be a function because the same input values which is 6 has 2 different output values.
C) Similar to B above, this curve cannot be a function because some input values have 2 output values which is not a property of a function.
D) This is a function because of the wave and it is likely a trigonometric function.
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This table shows values of power of 7 use the table to find the value of
A-49x2401
B-16807divided by343
C-343 raise to the power 2
Answer:
A. 49 × 2401 = 117649
B. 16807 ÷ 343 = 49
C. 343² = 117649
Step-by-step explanation:
A. 49 × 2401 = 7² × 7⁴ = 7⁶ = 117649
B. 16807 ÷ 343 = 7⁵ ÷ 7³ = 7² = 49
C. 343² = (7³)² = 7⁶ = 117649
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
\(\huge{ \rm{Answer:}}\)
\( \boxed{\underline{\huge{\tt{\orange{\: \: a \: = 117649\: \: }}}}}\)
\( \boxed{\underline{\huge{\tt{\orange{\: \: b = 49 \: \: }}}}}\)
\( \boxed{\underline{\huge{\tt{\orange{\: \: c \: = \:117649 \: \: }}}}}\)
Step-by-step explanation:
A. 49 × 2401 = 117649
49 = 7²2401 = 7⁴117649 = 7⁶B. 6807divided by343
6807/343 = 496807 = 7⁵343 = 7³49 = 7²C. 343 raise to the power 2
343² = 117649 343² 343 = (7³)² 117649 = 7⁶graph the line y=-1/3+3
When 1.5 and and a number n are multiplied, the result is 13.65.
What is the value of n?
Answer:
The value of N is 9.1
Step-by-step explanation:
The answer is 9.1 because 13.65 divided by 1.5 equals 9.1
ABCD is a parallelogram. Work out the size of angle x
Answer:
x=47 degrees
Step-by-step explanation:
X equals 47 degrees because it is congruent to the other angle that is marked. This is because of Alternate Interior Angles.
We know AD and BC are parallel because the shape is a parallelogram, this means that the other line is a transversal. When you have a transversal going through two parallel lines there are certain rules, including Alternate Interior Angles, which are two angles on opposite sides of the transversal but both on the inside of the parallel lines.
Why are lines AC and RS skew lines?
They lie in different planes and will never intersect.
They lie in the same plane but will never intersect.
They lie in different planes but will intersect if a plane
is drawn to contain both lines.
They lie in different planes and will be parallel if a
plane is drawn to contain both lines.
Answer: They lie in different planes and will never intersect.
Step-by-step explanation:
Skew lines are lines that do not intersect and that also are not parallel. For example, if we were in a 2d dimensional space, the lines should intersect or be parallel, so from this, we know that skew lines only exist in 3d or above.
And also from that, we can conclude that skew lines are lines that do not intersect and must live in different planes.
Then the correct option is the first one:
They lie in different planes and will never intersect.
Answer:
A. They lie in different planes and will never intersect.
Step-by-step explanation:
Mr. Ellington has a total of 32 students in his class , The ratio of girls to boys is 3:5, how many girls are in Mr . Ellington's class ?
Add the ratio: 3 + 5 = 8
Divide total students by that:
32/8 = 4
The ratio for girls is 3, multiply the 4 by 3:
4 x 3 = 12
There are 12 girls
Answer:
12
Step-by-step explanation:
If the ratio of girls to boys is 3:5, that means that for every 8 total students, 3 would be girls and 5 would be boys. Therefore 3/8 of the students are girls and 5/8 are boys. If 3/8 are girls, then:
\(\frac{3}{8}\) of 32
= \(\frac{3}{8} * 32\)
\(=\frac{3 * 32}{8} \\= \frac{96}{8} \\= 12\)
There are 12 girls.
Find the value of x in the angle pair.
Answer:
\(\huge\boxed{\tt{x = 50}}\)
Step-by-step explanation:
3x + 30 = 180 (Angles on a straight line add up to 180 degrees)
Subtract 30 to both sides
3x = 180 - 30
3x = 150
Divide 3 to both sides
x = 150 / 3
x = 50
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer:
\(\Large \boxed{\sf x=50}\)
Step-by-step explanation:
Angles on a straight line add up to 180°
\(30+3x=180\)
Solve for x
\(3x=150\)
\(x=50\)
MY OTHER QUESTION GOT DELETED BUT PLEASE HELP I WILL GIVE BRAINLIEST!!
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
A. (0,-4)
B. (1,-1)
C. (3,5)
D. (2,2)
Answer:
It would be (1,-1)
Step-by-step explanation:
PLEASE SOMEONE HELP A LOT OF POINTS!!
Answer:
-5 or -3
Step-by-step explanation:
correct me if im wrong
PLEASE GIVE ME BRAINLEST I WORK HARD
Answer:
-3
Plzzzzz give me Brainliest!!!!!
calcule
\(( + 4) \times ( + 2)\)
\(( - 5) \times ( - 3)\)
\(( + 6) \times ( + 2)\)
\(( - 4) \times ( - 3)\)
\(( + 2) \times ( + 5)\)
\(( - 6) \times ( - 3)\)
\(( + 7) \times ( + 3)\)
\(( - 8 \times ( - 4)\)
Answer:
1. 8
2. 15
3. 12
4. 12
5. 10
6. 18
7. 21
8. 32
Step-by-step explanation:
same sign add
how many all.number of possible.diagonal that drawing in differnt verticle of nonagon
It sounds like you want to find how many diagonals a nonagon has.
A nonagon has n = 9 sides.
The number of diagonals would be...
\(d = \text{number of diagonals}\\\\d = \frac{n(n-3)}{2}\\\\d = \frac{9(9-3)}{2}\\\\d = \frac{9(6)}{2}\\\\d = \frac{54}{2}\\\\d = 27\\\\\)
A nonagon has 27 different diagonals.
Answer: 27The main idea behind statistical inference is that: a. without statistics we would have no way of determining if an effect is taking place in any given experiment. b. through the transformation of data we can derive many conclusions about our sample.
c. through the use of sample data we are able to draw conclusions about the population from which the data was drawn. d. when generalizing results to a population you must make sure that the correct statistical procedure has been applied.
The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).
Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.
By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.
The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.
Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.
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7(x+3)=-2(x-5)
Help pls?
Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9
I don't know how to solve this question.
Answer:
P=Q=R
Step-by-step explanation:
Mark me as brainliest
scores on a college entrance exam are normally distributed with a mean of 500 and a standard deviation of 80. find the score at the 35th percentile.
The score at 35th percentile is 469.6 marks according to standard deviation and mean.
What is standard deviation?
Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis
Main body:
Given:
mean of μ = 500 and standard deviation of σ = 80
To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:
We can then plug this value into the percentile formula:
Percentile Value = μ + zσ
35th percentile = 500 + (-0.38)*80
35th percentile = 469.6
the score at the 15th percentile weighs about 469.6 marks.
Hence marks at 35th percentile is 469.6
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Sophia throws a dart at this square-shaped target:
part a: is the probability of hitting the black circle inside the target closer to 0 or 1? explain your answer.
part b: is the probability of hitting the white portion of the target closer to 0 or 1? explain your answer.
Part a: The probability of hitting the black circle inside the target is closer to 0.
The black circle appears to be a relatively small area within the larger square-shaped target. Assuming Sophia's dart can hit any point within the target with equal probability, the probability of hitting the small black circle is lower compared to hitting any other point within the larger target area. Therefore, the probability of hitting the black circle is closer to 0 than to 1.
Part b: The probability of hitting the white portion of the target is closer to 1.
The white portion of the target comprises the majority of the square-shaped target area, excluding the black circle. Assuming Sophia's dart can hit any point within the target with equal probability, the probability of hitting the white portion is higher compared to hitting the small black circle. Therefore, the probability of hitting the white portion is closer to 1 than to 0.
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32.8+3.27−0.15
..............................
Answer:
32,8+3,27=36,07
36,07-0,15=35.92
Step-by-step explanation:
Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle.
a. Find the equation of the line passing through B and perpendicular to AC
Type your response here:
b. Let the point of intersection of AC with the line you found in part a be point D. Find the coordinates of point D.
Type your response here:
c. Use the distance formula to find the length of the base and the height of ABC
Type your response here:
d. Find the area of ABC
Type your response here:
The line that is parallel to AC and passes through B has the equation y: 1/5x + 12/5.
What is the equation of the line?The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.
The benefit of expressing a linear equation in this way is that the values for m and b correspond to the slope and y-intercept, respectively.
This makes it easy to graph the line that the equation describes.
So, the slope of AC is:
6-1/1/2= 5/-1 = -5
The equation of line D, which passes through B and is perpendicular to AC, is given as y: mx + p.
Where p is the y value of the y-intercept point and m is the slope.
The fact that line D is perpendicular to line AC indicates that their slopes add up to one.
Therefore,
(−5) × m = −1
Now,
m = -1/-5 = 1/5
We discover that the D equation is:
Y: 1/5x + p
To complete the equation of D at this time, we still require the value of p.
B(3, 3)∈ D
3 = 1/5(3) + p
p = 3 - 3/5 = 12/5 = 2.4
Hence, equation D will be:
y: 1/5x + 12/5
Therefore, the line that is parallel to AC and passes through B has the equation y: 1/5x + 12/5.
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Correct question:
Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle.
Part A
Find the equation of the line passing through B and perpendicular to AC .
Students at the college are allowed to work on campus no more than 20 hours per week. The jobs that are available pay different rates, starting from $8.75 an hour. Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the constraints in this situation. Be sure to specify what your variables represent.
Type your response in the space below.
Answer:
help me
Step-by-step explanation:
Question 2c: Which dog sitting service is better if you need 5 hours of service? Explain your answer PLEASE!
A(4,6) was translated left 5 units and down 2 units to A'(-1, 4). Find the transformation rule
The transformation (x - a, y - b) translates the point (x, y) a units to the left and b units down.
Big Bob is currently 18 years old and weighs 205lbs. Every year he plans on gaining 8lbs. Using the expression from the previous problem (250+ 8y) how much will he weigh when he is 24 years old?
Answer:he will weigh 298lbs when he is 24 years old
Step-by-step explanation:
24-18=6 so y =6 plug this into problem (250 +(8x6))
8x6=48 (250=48)=298
Give 5 Examples of Linear Equation in Two Variables
Answer:
Some examples of linear equations in two variables are: 1.2s + 3t = 5, p + 4q = 7, πu + 5v = 9 and 3 = 2 x – 7y. Note that you can put these equations in the form 1.2s + 3t – 5 = 0, p + 4q – 7 = 0, πu + 5v – 9 = 0 and 2 x – 7y – 3 = 0, respectively.
evaluate ∫cx ds, where c is a. the straight line segment x=t, y= t 5, from (0,0) to (20,4) b. the parabolic curve x=t, y=t2, from (0,0) to (3,9)
(a) ∫cx ds for the straight line segment x=t, y=t⁵ from (0,0) to (20,4):
∫cx ds = ∫t * √(1 + 25t⁸) dt
(b) ∫cx ds for the parabolic curve x=t, y=t² from (0,0) to (3,9):
∫cx ds = ∫t * √(1 + 4t²) dt
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
a. Evaluating ∫cx ds for the straight line segment x=t, y=t⁵ from (0,0) to (20,4):
First, we need to parameterize the curve. Let's define t as the parameter:
x = t
y = t⁵
Now, we can find the differential ds:
ds = √(dx² + dy²)
= √((dt)² + (5t⁴ dt)²)
= √(1 + 25t⁸) dt
Next, we substitute the parameterized values into the integral:
∫cx ds = ∫t * √(1 + 25t⁸) dt
Since the integral involves a square root, it might be difficult to find an exact solution. Numerical methods or approximation techniques may be required to evaluate this integral.
b. Evaluating ∫cx ds for the parabolic curve x=t, y=t² from (0,0) to (3,9):
Again, we parameterize the curve using t:
x = t
y = t²
Find the differential ds:
ds = √(dx² + dy²)
= √((dt)² + (2t dt)²)
= √(1 + 4t²) dt
Substitute the parameterized values into the integral:
∫cx ds = ∫t * √(1 + 4t²) dt
This integral may also require numerical methods or approximation techniques to evaluate it, as it involves a square root.
hence, (a) ∫cx ds for the straight line segment x=t, y=t⁵ from (0,0) to (20,4):
∫cx ds = ∫t * √(1 + 25t⁸) dt
(b) ∫cx ds for the parabolic curve x=t, y=t² from (0,0) to (3,9):
∫cx ds = ∫t * √(1 + 4t²) dt
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What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?
Answer:
\(3^{10}\)
Step-by-step explanation:
\(3^{8}*3^{2}=3^{8+2}=3^{10}\)
Using the multiplication/product law of exponents, you can add the exponents up.
Answer:
3^10 and the law used would be the Product Rule for exponents.
Step-by-step explanation:
turning this question into an equation you would get:
3^8 * 3^2 = ?
The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:
A^x * A^y = A^(x+y)
Applying it to this question, you get
3^8 * 3^2 = 3^(8+2)
3^(8+2) is 3^10.
Therefore the simplified expression is 3^10.
Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
Where is Located World of Masha and the Bear?
Answer:
Russia
Step-by-step explanation:
The original language for the show is Russian
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92