Answer:
Step-by-step explanation: -49 -(-66)
= -49 + 66 ( here (-) and (-) is multiplied, therefore the final answer is +)
= 17 ( here when - and+ sign comes subtract them as we do normally, then mark the final answer with the greater number's sign, here the greater number is 66, so in the final answer we mark +17 or 17)
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find f(2), f(3), f(4), and f(5) if f is defined recursively by f(0) = −1, f(1) = 2, and f(n+1)=3f(n)2−4f(n−1)2f(n+1)=3f(n)2− 4f(n− 1)2 for n = 1, 2, ... f(5) =
The recursive formula given is used to define the function f(n) recursively. And the values are f(2) = 38, f(3) = 13106, f(4) = 62748518, f(5) = 381566830872922830
To find f(2), f(3), f(4), and f(5) using the given recursive definition, we can apply the definition repeatedly.
Given:
f(0) = -1
f(1) = 2
f(n+1) = 3f(n)^2 - 4f(n-1)^2
We start with the initial values:
f(2) = 3f(1)^2 - 4f(0)^2
= 3(2)^2 - 4(-1)^2
= 12 - 4
= 8
Next, we use the recursive definition:
f(3) = 3f(2)^2 - 4f(1)^2
= 3(8)^2 - 4(2)^2
= 192 - 16
= 176
Similarly,
f(4) = 3f(3)^2 - 4f(2)^2
= 3(176)^2 - 4(8)^2
= 3(30976) - 256
= 92928 - 256
= 92672
f(5) = 3f(4)^2 - 4f(3)^2
= 3(92672)^2 - 4(176)^2
= 3(8570770944) - 4(30976)
= 25712312832 - 123904
= 25712288928
Therefore, f(2) = 8, f(3) = 176, f(4) = 92672, and f(5) = 25712288928.
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I WILL MARK BRAINLIEST TO WHO ANSWERS CORRECTLY!
Harry walks at a speed of 4km/h.
He walks 20km.
How many hours did it take him?
Answer:
Time taken to walk 20km = 5 hours
Body mass index (BMI) is computed as the ratio of weight in kilograms to height in meters squared. The distribution of BMI is approximately normal for specific gender and age groups. For females aged 30-39, the mean BMI is 24.5, with a standard deviation of 3.3. (a) What proportion of females aged 30-39 has a BMI over 25? (b) Persons with a BMI of 30 or greater are considered obese. What proportion of females aged 30−39 is obese? (c) Suppose we classify females aged 30-39 in the top 10\% of the BMI distribution as high risk. What is the threshold for classifying a female as high risk? (d) Suppose we classify females aged 30-39 in the top 1% of the BMI distribution as "extreme" high risk. What is the threshold for classifying a female as "extreme" high risk?
(a) Using the z-score, we can find the proportion: P(Z > (25 - 24.5) / 3.3). (b) Find the proportion using the z-score: P(Z > (30 - 24.5) / 3.3). (c) Threshold corresponding to the 90th percentile: 24.5 + (z-score for the 90th percentile * 3.3). (d) Threshold corresponding to the 99th percentile: 24.5 + (z-score for the 99th percentile * 3.3).
(a) To find the proportion of females aged 30-39 with a BMI over 25, we need to calculate the z-score for BMI = 25 using the formula z = (x - mean) / standard deviation. Then, we can use a standard normal distribution table or a calculator to find the proportion of values beyond the z-score.
(b) To determine the proportion of females aged 30-39 who are obese (BMI 30 or greater), we need to calculate the z-score for BMI = 30 and find the corresponding proportion using the standard normal distribution.
(c) To classify females aged 30-39 in the top 10% of the BMI distribution as high risk, we need to find the BMI threshold corresponding to the 90th percentile. This can be achieved by finding the z-score associated with the 90th percentile and then converting it back to the BMI value using the mean and standard deviation.
(d) To classify females aged 30-39 in the top 1% of the BMI distribution as "extreme" high risk, we need to find the BMI threshold corresponding to the 99th percentile. Similar to part (c), we find the z-score associated with the 99th percentile and convert it back to the BMI value using the mean and standard deviation.
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What is the equation of the line, in standard form, connecting points (2, -3) and (4, 4)?
Responses
7x−2y−26=07 x minus 2 y minus 26 is equal to 0
7x+y−13=07 x plus y minus 13 is equal to 0
7x−2y−20=07 x minus 2 y minus 20 is equal to 0
2x−2y−7=02 x minus 2 y minus 7 is equal to 0
3x−y+10=0
Answer:
7x - 2y - 20 = 0
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 4 )
m = \(\frac{4-(-3)}{4-2}\) = \(\frac{4+3}{2}\) = \(\frac{7}{2}\) , then
y = \(\frac{7}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 4 )
4 = \(\frac{7}{2}\) (4) + c = 14 + c ( subtract 14 from both sides )
- 10 = c
y = \(\frac{7}{2}\) x - 10 ← in slope- intercept form
multiply through by 2
2y = 7x - 20 ( subtract 2y from both sides )
0 = 7x - 2y - 20 , that is
7x - 2y - 20 = 0 ← required equation
Hi! I really suck at math so please help :)
Answer:
(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)
Step-by-step explanation:
you plug x into the equation to get y
Answer:
-4, -1, 2, 5
Step-by-step explanation:
I used desmos to graph it
Seven more than twice a number is 17
Answer:
2x + 7 = 17 using algebra equation you can resolve ir
a line passes through the points (9, 16) and (0, 5). what is it’s equation in slope intercept form
Answer:
y = x + 5
Step-by-step explanation:
Slope: m = (y2-y1)/(x2-x1)
m = (16 - 5)/(9 - 0) = 9/9 = 1
Using m = 1, y = 5, x = 0
then y = mx + b
5 = 1(0) + b
b = 5
so y = x + 5
is { 20, 40, 60, 80....} infinite or finite
The sequence {20, 40, 60, 80, ...} is an infinite sequence.
To determine whether a sequence is finite or infinite, we need to examine if there is a clear pattern or rule that allows us to generate more terms indefinitely.
In this case, we can observe that each term in the sequence is obtained by multiplying the previous term by 2. Starting with 20, we multiply by 2 to get 40, then multiply by 2 again to get 80, and so on. This pattern continues indefinitely, with each term being twice the previous term.
Since there is a clear rule to generate more terms and there is no specific endpoint or limit, the sequence is infinite. We can continue generating terms by multiplying the last term by 2 repeatedly, resulting in an unending sequence of numbers.
It's important to note that even though we haven't listed out all the terms, we can still confidently conclude that the sequence is infinite based on the established pattern and rule.
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Aaden is driving to a concert and needs to pay for parking. There is an automatic fee of $9 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Aaden have to pay for parking if he left his car in the lot for 3 hours? How much would Aaden have to pay if he left his car in the lot for
�
t hours?
Answer:
$15.
Step-by-step explanation:
9 + 3*2
= $15.
can someone help me with this?
Answer:
-64 is the 26th number
it's an arithmetic sequence because the difference between the number is constant : -3
they are all -3 in difference
Step-by-step explanation:
an = a1 + (n-1)d
an = the nᵗʰ term in the sequence
a1=the first term in the sequence
d=the common difference between terms
-64 = 11 + (n - 1)-3
-64=11 -3n+3
-78 = -3n
n = 26
If the length of hypotenuse of a right angled isosceles triangle is 4√2 CM, find its area.
To find the area of a right angled isosceles triangle, we need to know the length of its legs. In an isosceles right triangle, the legs are equal in length. Let's call the length of each leg "x".
Using the Pythagorean theorem, we know that:
hypotenuse² = leg² + leg²
Substituting in the given value for the hypotenuse, we get:
(4√2)² = x² + x²
Simplifying:
32 = 2x²
Dividing both sides by 2:
16 = x²
Taking the square root of both sides (and ignoring the negative solution since length can't be negative):
x = 4
So each leg of the right angled isosceles triangle has a length of 4 cm.
Now we can use the formula for the area of a triangle:
Area = 1/2 * base * height
In this case, both legs are the base and the height (since the triangle is isosceles), so:
Area = 1/2 * 4 cm * 4 cm
Area = 8 cm²
Therefore, the area of the right angled isosceles triangle is 8 square centimeters.
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Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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a scientist runs an experiment involving a culture of bacteria. she notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 229% per week. what is the 1-week growth factor for the mass of the bacteria? what is the 1-day growth factor for the mass of the bacteria? by what percent does the mass of bacteria increase by each day? % if the mass of the bacteria instead increased by 453% per week, by what percent would the mass increase by
The 1-week growth factor for the mass of the bacteria is 3.29.
The 1-day growth factor for the mass of the bacteria is 1.185.
The percentage increase in the mass of bacteria is 18.5%.
The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.
The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).
The 1-week growth factor for the mass of the bacteria is 3.29.
The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).
The 1-day growth factor for the mass of the bacteria is 1.185.
The percentage increase in the mass of bacteria is 18.5%.
The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).
The new 1-week growth factor for the mass of the bacteria is 5.53.
The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).
The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.
The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.
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2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
what would be the reminder of 20,000 divided by 24 ?
Answer:
I think 2500..not sure tho
Step-by-step explanation:
1. Which expressions are NOT equivalent? A 3x + 5 + 2(6 + 4) and 3x + 25 B (x + 5) – 2 and x + 3 C 2(x + 5) + 6 and 2x + 16 D 4(x + 7) and 4x + 11
Answer: A
Step-by-step explanation: becasue its A
Please I need help in solving this I try several way to do it but I think am doing something wrong please help me
Answer:
81 cm
Step-by-step explanation:
Find the slope of the line that passes through the pair of points.
(11, 7), (−6, 2)
Answer:
Slope =
\( \frac{5}{17} \)
Which statements about a line and its inverse are true? Select all that apply.
1.Their slopes will always be the opposite reciprocal of each other.
2.The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.
3.If their slopes are not equal, the lines will intersect each other on the line y=x
4.They may be parallel to each other.
5.Their slopes will always be the reciprocal of each other.
Answer:
Statement 3,4 and 5 are true.
Step-by-step explanation:
(1) Their slopes will always be the opposite reciprocal of each other.
False, Their slopes are reciprocal to each other.
(2) The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.
False, in the case of inverse the constant term takes the opposite sign.
(3) If their slopes are not equal, the lines will intersect each other on the line y=x
True, the Inverse of linear functions will always intersect each other on the line y=x.
(4) They may be parallel to each other.
True, in the case of y=x+n it is true.
(5) Their slopes will always be the reciprocal of each other.
True, Their slopes are always reciprocal to each other.
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Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number Cube With Sides Labeled 1-6 And Then Rolling The Number Cube Again C.) Tossing A Coin 6 Times D.) Rolling A Number Cube With Sides Labeled 1-6 And Tossing A Coin
PLEASE OLEASE HELP!!!
Answer:
answer = 7.5
Step-by-step explanation:
PG = 2 PR ( by Parallelogram law)
4x - 5 = 2 (x + 5)
4x - 5 = 2x + 10
4x - 2x = 10 + 5
2x = 15
x = 15/2
x = 7.5
HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
1A) C and D
1B) 0-1-2-3-4-5-6-7-8-9-10
<----o
2A) A>=-4
2B) Infinitely many that are more than -4
So i have a assignment that i have to and i wondering if you guys could help me:
Title of Section: Describe all numbers that satisfy both inequalities. Include a graph with your description.
A museum charges $7 per visitor. The museum has already admitted 37 visitors. Write and solve an inequality to find how many more visitors the museum needs to admit to make at least $450.
And i don't understand please help
Answer:
28 more people to reach 450
Step-by-step explanation:
450/7≈65(the total number of money the need divided by ticket price to see how many total people they need)
37*7=259 (the people they have already gotten times ticket price to find how much more they need)
450-259= 191 (what they need altogether miinus what they already have)
191/7≈28 (how much more money they need divided by ticket price, 28 is more ticket they need to sell)
does this make sense
Which statement is true?
Question 9 options:
A)
|–45| = 45 and |–96| = 96.
B)
–|–45| = 45 and –|–96| = –96.
C)
|–45| = 45 and |–96| = –96.
D)
|–45| = –45 and |–96| = –96.
Answer:
d can be right answer....
A rectangle has a diagonal of 2 cm and a length of 3(square root). Find its width
Answer:
1 cm
Step-by-step explanation:
To answer this question we use Pythagoras theorem. This is a² + b² = c², where a is the length, b is the width and c is the hypotenuse (diagonal).
As we are already given the diagonal, we have to rearrange the formula to apply to our question...
c² - a² = b²Now solve...
c = 2² = 4a = √3² = 34 - 3 = 1√1 = 1This means that our width is 1!
Hope this helps, have a lovely day! :)
80iu612345678909876533456
.
Answer:
weird
Step-by-step explanation:
18-(∛27)^3
Find The cube root
The amount y that a walrus eats is
proportional to its weight x. A 4000 pound
walrus eats 20 pounds each day. How much does
a 2000 pound walrus eat each day?
Answer: The correct answer is
10 Pounds
Step-by-step explanation:
10lb
4000 = 20
2000 = 10
What is the volume of a triangular prism with a height of 11.5 feet and a base
area of 34 feet?
The speed of light is about 2.998 x 10^8 meters per second. The speed of sound is about 343 meters per second. About how many times faster
is light than sound?
Light is about 874052.5 times faster than sound
Calculating speedFrom the question, we are to determine the magnitude by which light is faster than sound
From the given information,
The speed of light is about 2.998 x 10⁸ meters per second.
and
The speed of sound is about 343 meters per second.
To determine how many rimes faster the speed of light is than the speed of sound, we will divide the speed of light by the speed of sound
That,
The magnitude by which light is faster than sound = (2.998 x 10⁸) / 343
The magnitude by which light is faster than sound = 874052.5
Hence, light is about 874052.5 times faster than sound
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