The height of the plant is 7.3 cm nearest to one decimal place. Write the lower and upper bounds for the height of the plant
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Step-by-step explanation:
The height of the plant is 7.3 cm nearest to one decimal place. Write the lower and upper bounds for the height of the plant please give me brain list
Related Questions
If (6 ki)² = 27-36i, the value of k is
Answers
Answer: k = √27-i
Step-by-step explanation:
For my Homework tomorrow
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write the equivalent fraction of each of the following: 3/12 ,13/30and 15/45
Answers
Answer:
Step-by-step explanation:
6/24, 26/60, 30/90
how many solutions does x0 +x1 +···+xk = n have, if each x must be a non-negative integer?
Answers
The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n + k).
Solved using the technique of stars and bars, also known as balls and urns.
Imagine you have n identical balls and k+1 distinct urns.
Distribute the balls among the urns such that each urn has at least one ball.
First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.
Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.
For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.
The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.
This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.
Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n + k).
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Order from least to greatest 5/6,Square root 8,-1,pi
Answers
Answer: pi, square root of 8, 5/6
Step-by-step explanation:
square root of 8 = 2.82842712475
pi= 3.14159265359
5/6= 0.83333333333
so it goes pi, square root of 8, and then 5/6.
A circle is centered at the origin and has radius of 10. A particle starts at point (10,0) and travels counterclockwise on the circle, making one complete revolution every 9 seconds. Write the parametric equations for the motion of the particle, where t represents time in seconds:
x(t) = ?
y(t) = ?
Answers
The parametric equations for the motion of the particle are:
x(t) = 10 cos(2πt/9)
y(t) = 10 sin(2πt/9)
Here, t represents time in seconds, and 2π/9 represents the angular speed of the particle, since it completes one revolution every 9 seconds. The radius of the circle is 10, which is used in the equations for the x and y coordinates of the particle's position at any given time t.
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For a walk-a-thon a sponsor committed to give you a flat fee of 5$ Plus 2$ for every mile m you walk. Write an expression for the total amount you will collect from your sponsor at the end of the walk
Answers
Answer:
Step-by-step explanation:
The flat fee of $5 is what you will make from that sponsor whether you walk 1 mile or 200 miles. If you make $2 per mile and then number of miles you walk is the independent variable, the expression for that is 2x. The expression that describes this situation is
2x + 5
Answer:
5 + 2m
Step-by-step explanation:
total amount = flat fee + amount per mile
Let m = number of miles
total amount = 5 + 2m
evaluate the expression. check all possible sets that the solution may belong in. 40-5^2
Answers
Answer:
15
Step-by-step explanation:
following PEMDAS, we don't have () so we move on to exponents
5^2 is equal to 5 x 5 which is 25
40-25=15
\(\huge\textsf{Hey there!}\)
\(\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark\)
\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)
~\(\textsf{Amphitrite1040:)}\)
can u pls help me i need help
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im on that to, maybe i can try and help you !!
What is the square root of 2/1
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Answer:
The square root of 2/1 is
= 1.41421356237
I HOPE IT HELP YOU
please answer ASAP. is this undefined(A) or is it 1 (B)
Answers
Answer:
slope is undefined
Step-by-step explanation:
The slope of a vertical line parallel to the y- axis is undefined
6.
Consider the equation:
4(2 + px) = 12x
For what value of p does the equation have no solution?
A 1
B. 3
C 12
D. 48
Answers
Answer:
p = 3
Step-by-step explanation:
Given
4(2 + px) = 12x
If the coefficient of the x- term is the same on both sides of the equation, it will have no solution.
Distributing gives
8 + 4px = 12x ( equate the coefficients of the x- term )
4p = 12 ( divide both sides by 4 )
p = 3
The value of p when the equation has no solution will be 3. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
4(2 + px) = 12x
8 + 4px = 12x
If the coefficient of the x-term is the same on both sides of the equation, it will have no solution.
4p = 12
p = 3
The value of p when the equation has no solution will be 3. Then the correct option is B.
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Which of the following is not a layer of the Earth?
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Answer:
Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.
Answer:
I dont see the following but these are the layers of the Earth
Step-by-step explanation:
Mrs .Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each ,how many bottles can she buy?
Answers
Step-by-step explanation:
hear is your answer with calculation
Let Σε α, = 1 n=1 Question 1 (20 points): a) [10 points] Which test is most appropriate In(n+7) for series: Σ ? n=1 n+2 b) [10 points) Determine whether the above series is convergent or divergent.
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The question asks about the most appropriate test to determine the convergence or divergence of the series Σ (In(n+7) / (n+2)), and then it seeks to determine if the series is convergent or divergent.
a) To determine the most appropriate test for the series Σ (In(n+7) / (n+2)), we can consider the comparison test. The comparison test states that if 0 ≤ aₙ ≤ bₙ for all n, and Σ bₙ converges, then Σ aₙ also converges. In this case, we can compare the given series with the harmonic series, which is a well-known divergent series. By comparing the terms, we can see that In(n+7) / (n+2) is greater than or equal to 1/n for sufficiently large n. Since the harmonic series diverges, we can conclude that the given series also diverges.
b) Based on the comparison test and the conclusion from part a), we can determine that the series Σ (In(n+7) / (n+2)) is divergent. Therefore, the series does not converge to a finite value as the number of terms increases. It diverges, meaning that the sum of its terms goes to infinity.
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What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7?
Answers
Answer:
y = \(\frac{1}{4}\) x + 6
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 )
given
4x + y = 7 ( subtract 4x from both sides )
y = - 4x + 7 ← in slope- intercept form
with slope m = - 4
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-4}\) = \(\frac{1}{4}\) , then
y = \(\frac{1}{4}\) x + c ← is the partial equation of the perpendicular line
to find c substitute )- 4, 5 ) into the partial equation
5 = - 1 + c ⇒ c = 5 + 1 = 6
y = \(\frac{1}{4}\) x + 6 ← equation of perpendicular line
6 7/8 pounds of bricks weigh 1 3/8 pounds ; how many bricks are in box
Answers
Answer:
5
Step-by-step explanation:
[3 + 3 + 3 + 3 pts) In this exercise you will generalize the binomial distribution.
(a) Show that the number of possible ways in which a set A with cardinality |A| = n can be partitioned into r subsets A1,..., A, with cardinalities n1,..., nr such that ni +...+ nor = n is equal to n! / ni!...n!
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The number of possible ways to partition a set A with cardinality n into r subsets with varying cardinalities is given by n! / (n1! * n2! * ... * nr!).
How can a set A be partitioned into subsets of different sizes?Partitioning a set A into subsets of varying sizes involves calculating the number of possible ways to arrange the elements in the subsets. The formula n! / (n1! * n2! * ... * nr!) accounts for the total number of permutations while considering the specific sizes of each subset.
To understand why this formula works, let's break it down step by step.
Step 1: Counting permutations
The numerator n! represents the total number of permutations of the elements in set A. This is because when we partition a set, the order in which we choose the elements for each subset matters. So, we start with n choices for the first element, (n-1) choices for the second element, and so on, resulting in n! permutations.
Step 2: Accounting for subsets
However, in the numerator, we are overcounting because the order of elements within each subset doesn't matter. To correct for this, we divide by the factorials of the sizes of the subsets (n1!, n2!, ..., nr!). This ensures that each partition is counted only once, irrespective of the order in which the elements are chosen within each subset.
Step 3: Simplifying the formula
Dividing n! by the product of the factorials simplifies the formula, giving us the final result: n! / (n1! * n2! * ... * nr!).
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how many three-digit multiples of 3 can be written using numbers 1,3,5,9 if all digits are different?
Answers
===========================================================
Explanation:
We have four values to pick from {1,3,5,9} and we want to form a three-digit number.
Kick one of those values out, let's say we kick out "9" at the end to get the subset {1,3,5}.
The sum of these remaining values is 1+3+5 = 9 which is a multiple of 3. Therefore three-digit numbers that have any order of 1,3,and 5 will be a multiple of 3.
Eg: 135/3 = 45 exactly.
There are 3*2*1 = 6 such numbers as shown at the very bottom of this solution post.
This is a permutation since the order matters.
Let A = 6 so we can use it later.
----------------
Go back to {1,3,5,9}
Now let's say we kicked "5" out this time.
We go from {1,3,5,9} to {1,3,9}
The digits sum to 1+3+9 = 13 which is not a multiple of 3
No matter how we arrange these digits, we won't get a multiple of 3.
Eg: 139/3 = 46.33 approximately
----------------
Let's go back to {1,3,5,9}. This time we'll kick out "3" from the group.
{1,3,5,9} shrinks to {1,5,9}
Add the values: 1+5+9 = 15 which is a multiple of 3.
Therefore, we get 6 more permutations (refer to the first section for similar steps). Let B = 6 so we can use it later.
Example: 159/3 = 53 exactly
-----------------
Return back to {1,3,5,9} once more. We have one final value to kick out.
Let's remove the "1" to end up with {3,5,9}
Add the values: 3+5+9 = 17 which isn't a multiple of 3, so we ignore this sub-case. It's similar to the 2nd section shown above.
-------------------
Each previous section had us remove exactly one value to have 3 digits leftover. This is a methodical way to guarantee we have looked through all possible cases.
The first case had us kick out 9 so that a permutation of {1,3,5} led to some multiple of 3. There were A = 6 cases for that section.
The third section had {1,5,9} which led to B = 6 more cases.
In total, there are A+B = 6+6 = 12 different three-digit numbers possible if we are only allowed to use {1,3,5,9} without repeats allowed. In other words, all three digits must be different.
-------------------
Check:
Here are the first 6 cases involving 1,3,5
number = 135number = 153number = 315number = 351number = 513number = 531Here are the other 6 cases involving 1,5,9
number = 159number = 195number = 519number = 591number = 915number = 951The Ferris Wheel has a diameter of 30 meters, the center is 19 meters off the ground and it makes 2 revolutions per min.
Draw this Ferris Wheel, labeling the radius, height, and center. Supposing the minimum height of the Ferris Wheel occurs when t=0, write the sinusoidal function for the height as a function of time. Last graph on a coordinate plane, label the key points.
Answers
The sinusoidal function for the height as a function of time will be h= -15 cos (πt/15)+19 meter
As the Ferris wheel starts with the rider from the bottom position (which is the minimum point in the cycle), we can represent the position of the rider with a negative cosine function.
The general form of the cosine function representing the displacement of the rider is:
f(t) = a cos(bt+c) + d, where:
amplitude = |a| which is the distance that travels above and below the midpoint
period = 2 π/|b| which is the time period i.e. time required to complete one cycle
-c/b is the phase shift.
d = vertical displacement of the function
Given the diameter of the wheel is 30 m, then r = 30/2 = 15 m.
So the distance that travels above and below the midpoint is the radius for which a=15. As we have the negative cosine function, a = -15.
The time period is 0.5min. As it is given the frequency is 2 revolutions per min for which b= 2(2π) rad/min.= 4π/60 rad/sec.= π/15 rad/sec.
The rider starts from the bottom position, so there will be no phase shift, so c=0
Given that the center of the wheel is 19 m above the ground, so d=19m
Therefore the equation will be
height of rider as function of time(t) = h = -15 cos (πt/15)+19 meter
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What is 5/3 as a percent
Answers
Answer:
%167
Step-by-step explanation:
5 divided by 3 is 1.67 so times that by 100 and you get %167
Answer:
166.666666666667%
Step-by-step explanation:
Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%
What is the reference angle for 283°?
Answers
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
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The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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Please help or I will fail math
Answers
Answer:
a = 51
b = 129
d = 129
w = 129
x = 51
y = 129
z = 51
hope it helps :)
mark brainliest!
Hello im really confused and little lost plz help
Answers
A recipe that serves 6 people requires 210 grams of sugar what is the total amount of sugar needed if the recipe is changed to serve 10 people
Answers
Answer:
The answer is 350 grams of sugar
Step-by-step explanation:
You use a ratio
\(\frac{6}{10}\) = \(\frac{210}{?}\)
Compare the numerators. Since
6 ⋅ 35 =210 , multiply the denominator 10 by 35 to get 350
.
Answer:
350 grams
Step-by-step explanation:
- 6 people = 120
10 = ?
- this is how like to use ratios
6 : 120
10 : x
- multiply the numbers in a criss-cross fashion
so,
- multiply 120*10 and devide by the number multiplying with the unknown ( 6 in this case )
- (120*10)/6 = 350
Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B.
Which statement is a counterexample to Daisy's conjecture?
1. m∠A=90° and m∠B=90°
2. m∠A=40° and m∠B=140°
3. m∠A=45° and m∠B=45°
4. m∠A=50° and m∠B=120°
Answers
Answer:
1
Step-by-step explanation:
it is about 90 degree thats why
The diagram shows a right-angled triangle.
x +4
x-2
All the measurements are in centimetres.
The area of the triangle is 27.5 cm²
Work out the length of the shortest side of the triangle.
You must show all your working.
Answers
Shortest side of a triangle is x - 2 = 7 - 2 = 5cm.
Given,
Triangle is a Right - angled triangle
Base of triangle is = x + 4
Height of triangle is = x -2
The area of the triangle is 27.5 cm²
To find the length of the shortest side of the triangle.
Now, According to the question:
We know that
Area of triangle is = 1/2 x base x height
Put the values of base and height in above formula
27.5 = 1/2 × (x + 4) × (x - 2)
27.5 × 2 = x (x - 2) + 4(x -2 )
55 = \(x^{2} + 4x - 2x - 8\)
\(x^{2}\) + 2x - 63 = 0
\(x^{2}\) + 9x - 7x - 63 =0
x (x + 9) -7 (x + 9) =0
x = -9 or x = 7
Hence, Shortest side of a triangle is x - 2 = 7 - 2 = 5cm.
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If 2|8 –2x| = 20, x could equal which of the following?
Answers
Answer: x can equal 9 or -1
Step-by-step explanation:
The function \( f \) is defined as \( f(x)=\frac{7}{-2 x^{2}+4 x} \). Find \( f(x+6) \) Write your answer without parentheses, and simplify it as much as possible.
Answers
The value of the function, f(x+6) is -7 / [2(x+6)(x+4)].
The given function is f(x) = 7 / (-2x² + 4x).
We need to find the value of f(x+6). We need to substitute x+6 in place of x in the given function.
So, we get,
f(x+6) = 7 / [-2(x+6)² + 4(x+6)]
f(x+6) = 7 / [-2(x² + 12x + 36) + 4x + 24]
f(x+6) = 7 / [-2x² - 24x - 72 + 4x + 24]
f(x+6) = 7 / [-2x² - 20x - 48]
We can simplify the given expression further,
f(x+6) = 7 / [-2(x² + 10x + 24)]
f(x+6) = -7 / [2(x² + 10x + 24)]
f(x+6) = -7 / [2(x+6)(x+4)]
Therefore, f(x+6) is equal to -7 / [2(x+6)(x+4)].
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