The time spent by Noah exercising is 130 minutes
How to determine how long did Noah exerciseFrom the question, we have the following parameters that can be used in our computation:
Vera exercised for 60% of the time that Noah exercised. Vera exercised for 78 minutes.using the above as a guide, we have the following:
Vera = 60% * Noah
So, we have
60% * Noah = 78
Divide both sides by 60%
Noah = 130
Hence, Noah exercised for 130 minutes
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Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is
$12/h. Indigo Research was billed $876.00 last month fc
hours charged for usage during peak times.
40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak time
how to factorise 2x + 10
Answer:
2(x + 5)
Step-by-step explanation:
1. Common factor
2x + 10
2(x + 5)
Solution
2(x + 5)
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what is the area of a rooftop garden
The area of the garden is 272 ft².
We have,
The garden has two shapes:
Rectangle and a triangle.
Now,
Length = 12 ft
Width = 20 ft
Area of the rectangle.
= Length x Width
= 12 x 20
= 240 ft²
And,
Base = 8 ft
Height = (20 - 12) = 8 ft
Area of the triangle.
= 1/2 x base x height
= 1/2 x 8 x 8
= 32 ft²
Now,
Area of the garden.
= 240 + 32
= 272 ft²
Thus,
The area of the garden is 272 ft².
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Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
suppose you deposit $1,037.00 into an account 6.00 years from today. exactly 16.00 years from today the account is worth $1,759.00. what was the account's interest rate?
The account's interest rate can be calculated as approximately 4.72%.
To find the interest rate, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the future value, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.
In this case, we have two pieces of information: the principal P = $1,037.00 and the future value A = $1,759.00. The time t is 16.00 years.
We can set up the equation:
$1,759.00 = $1,037.00(1 + r/n)^(n * 16.00)
Solving for r/n, we find:
(1 + r/n)^(n * 16.00) = $1,759.00 / $1,037.00
Taking the natural logarithm of both sides, we have:
n * 16.00 * ln(1 + r/n) = ln($1,759.00 / $1,037.00)
Solving for r/n, we get:
ln(1 + r/n) = ln($1,759.00 / $1,037.00) / (16.00 * n)
Now, we can substitute different values for n (e.g., 1, 2, 4, 12) to find the corresponding values of r/n that satisfy the equation. Approximating the value of r/n, we find that the interest rate is approximately 4.72%.
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simplify using trig identities
(cos2x-1) / (sin2x)
As a result, the formula is (cos 2x - 1) / (2 sin x cos x)
What are an equation and an expression?A mathematical expression shows the worth of something by combining numbers, factors, and functions. A mathematical assertion known as an equation involves setting two expressions equivalent to one another.
We can start by using the identity:
cos 2x = cos² x - sin² x
We can rearrange this to get:
cos² x = cos 2x + sin² x
Substituting this into the expression we want to simplify, we get:
(cos² x - sin² x - 1) / (sin 2x)
We can then use the identity:
sin 2x = 2 sin x cos x
Substituting this into the expression, we get:
(cos² x - sin² x - 1) / (2 sin x cos x)
We can simplify the numerator using the identity:
cos² x - sin² x = cos 2x
Substituting this into the expression, we get:
(cos 2x - 1) / (2 sin x cos x)
Therefore, the simplified expression is:
(cos 2x - 1) / (2 sin x cos x)
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Suppose int i = 5, which of the following can be used as an index for array double[] t=new double[100]? A. i B. I +6.5 C.1 + 10 D. Math.random() * 100 E. (int)(Math.random() * 100))
The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).
To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :
A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).
B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.
C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.
D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.
E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.
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Which ordered pair (x, y) satisfies the system of equations shown below?
9x - y = 63
x = y +7
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
help me please. i have been doing this for a long time
Answer:
I am deeply sorry.
Step-by-step explanation:
I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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Use the following situation for questions #1-10.
Ashley has two jobs: mowing lawns and babysitting. She earns $10 per hour mowing lawns
(x) and $8 per hour babysitting (y). She wants to earn at least $160 per week.
4. What is the x-intercept for the inequality? Show your work!
Answer:
We have the variables:
x = hours that she mows lawns per week.
y = hours that she babysits per week.
She earns $10 per hour mowing lawns and $8 per hour babysitting.
Then she earns a total of:
x*$10 + y*$8
We also know that she wants to earn at least $160 per week.
Then we have the inequality:
Total weekly earnings ≥ $160
This can be written as:
x*$10 + y*$8 ≥ $160
Now we want to find the x-intercept of the inequality.
The x-intercept is the possible y-values when x = 0 (the x-axis)
Then we just need to set x = 0 and find the possible solutions for y.
0*$10 + y*$8 ≥ $160
y ≥ $160/$8 = 20
y ≥ 20
The x-intercept of the inequality is the set of all the points (0, y) such that:
y ≥ 20
a polyhedron has all faces triangles or quadrilaterals, and $1001$ edges. what is the difference between the maximum and minimum possible numbers of faces?
Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.
A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.
Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.
Therefore, the minimum number of triangular faces of a regular polyhedron is = 4
Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.
A polyhedron having equal quadrilateral faces is known as regular hexahedron.
quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula
F + V-E = 2
=> F + 6- 100= 2 => F = 96 maximum faces possible = 96
Now the difference between maximum and minimum number of faces = 100 - 4 = 96
So the difference between maximum and minimum faces is 96.
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how to solve this?
\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x
\( \Large \mathbb{SOLUTION:} \)
\( \begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes} \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array} \)
Simplify (6.7w+2)+(4.3-8.2)
Answer:
6.7w-1.9
Step-by-step explanation:
(6.7w+2)+(4.3-8.2)
=6.7w+2+4.3-8.2
=6.7w-1.9 espero te sirva :)
at a restaurant, the bill comes to $20. you leave $24 on the table. what percent tip did you leave for the server?
Subtract to find the amount you left as a tip:
24 - 20 = 4
The tip amount was $4
Now divide the amount of the tip by the amount of the bill before the tip was added:
4 / 20 = 0.2
Multiply by 100:
0.2 x 100 = 20%
Answer: the tip was 20%
If anybody can solve these two I’ll give you 20
Answer:
um I'm pretty sure it's 168
Answer:
the answr is 0.42x+1.68
If the events have the same theoretical probability of happening, then they are called
Mutually exclusive events
Mutually exhaustive events
Equally likely events
Impossible events
Answer:
Equally likely events
very fast
Show, by induction, that \( T(n)=10 n^{2}-3 n \quad \) if \( n=1 \)
Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that \($$\(T(n)=10n^2-3n\)$$\) if ( n= 1). The given statement is true for all positive integers n
Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.
Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)
Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) = \(10(k+1)^2-3(k+1)\).
Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that \($$\(T(n)=10n^2-3n\)$$\) if (n=1). Therefore, the given statement is true for all positive integers n.
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5(x + 3) +2 (3x+4) I need help on how to work on this
can you see the specific pattern they follow?
(2,4,6,8...)(3,6,12,24...)( 5,10,15,20,...)
Which expressions are equivalent to this expression?
4x + 4
Select each correct answer.
2(2x+2)
4(x+4)
x + 3x + 4
2x + 1 + 2x + 3
Answer:
4(x+4)
Step-by-step explanation:
Answer:
2 ( 2x + 2 )
Step-by-step explanation:
4x = 2x * 2
4 = 2 * 2
4x + 4
= 2x * 2 + 2 * 2
= 2 ( 2x + 2 )
Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
7.35 pints
Step-by-step explanation:
If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).
\(\frac{3}{4}\) * 9.8 (or 0.75 * 9.8) = 7.35
Therefore, 7.35 pints of the total paint used is white.
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In local elections the typical voter turnout is 18% of registered voters. If 20
registered voters are randomly selected, what is the probability that exactly 2 of
them voted in a local election?
The probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
This is a binomial probability problem, where we have a fixed number of trials (n=20) and each trial is either a success (voted in a local election) or a failure (did not vote in a local election).
The probability of success for each trial is p=0.18 (since the typical voter turnout is 18%). We want to find the probability of exactly 2 successes in 20 trials.
We can use the binomial probability formula to solve this problem:
\(P(X = k) = (n choose k) * p^k * (1-p)^{n-k}\)
where X is the random variable representing the number of successes (voters who voted in a local election), k is the number of successes we're interested in (k=2), n is the total number of trials (n=20), p is the probability of success (p=0.18), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and is calculated as:
(n choose k) = n! / (k! * (n-k)!)
Plugging in the values, we get:
\(P(X = 2) = (20 choose 2) * 0.18^{2} * (1-0.18)^{20-2}\)
= (190) * 0.0324 * 0.8222
= 0.382
Therefore, the probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.
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Need answer for this please.
Answer:
y= - 5x+40
Step-by-step explanation:
I graphed this out. Remember that in parallel lines, the slopes are always the same.
find the geometric mean of 2 and 22
6.63324958071 is the mean of 2 and
Answer:
2 sqrt(11)
Step-by-step explanation:
To find the geometric mean of two numbers, take the square root
sqrt( 2*22)
sqrt(44)
sqrt(4*11)
2 sqrt(11)
Find the slope between the points: (611) and (6,2)
Answer: the Slope (m) = infinity
Use either point Bor point Cto find the lengths of the
legs and hypotenuse of a right triangle. Input the
lengths. Then click done.
Change to fractions with the least common denominator add change the answer to a mixed number 4/3 + 7/4 36/12
37/12
3 1/12
3 1/6
Answer: 3 1/12
Step-by-step explanation:
A social networking site currently has 40,912 active members per month, but that figure is dropping by 5% with every month that passes. How many active members can the site expect to have in 10 months?
Answer:
24496
Step-by-step explanation:
40912 * (1-5%) ^10 = 24495.5
becuase they are humans, so round up to 24496
In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))