Answer:
16 ft
Step-by-step explanation:
→ Square root the length to find the dimensions
√256 = 16
Translate the sentence into an inequality. The sum of 8 and y is greater than or equal to 17.
Answer:
8+y\(\geq\)17
Step-by-step explanation:
Please help! BRAINLIEST to correct answer!!
Answer:
2sqrt(14)*i
Step-by-step explanation:
(sqrt(-56))
since theres a negative in it we know there will be an i in the answer.
We need to find two numbers that multiple to 56 with at least one of them being a perfect sqaure
7*8 doesn't work
4*14 = 56
ok sqrt(4) = 2
can't take the sqaure of (14)
so we are left with
2sqrt(14)*i <---remember from before?
Please Help Asap! I need to find the answer! Please!
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of θ only. csc 2
θ−1
1+cot 2
θ
csc 2
θ−1
1+cot 2
θ
=
The simplified expression where all the functions are of θ is cos^2θ - cos^4θ.
To simplify the expression (csc^2 θ - 1)/(1 + cot^2 θ), we can rewrite the trigonometric functions in terms of sine and cosine.
Using cscθ = 1/sinθ, cotθ = cosθ/sinθ these identities, we can rewrite the expression as follows:
(csc^2 θ - 1)/(1 + cot^2 θ)
= ((1/sinθ)^2 - 1)/(1 + (cosθ/sinθ)^2)
= (1/sin^2θ - 1)/(1 + cos^2θ/sin^2θ)
To simplify further, we can use the Pythagorean identity: sin^2θ + cos^2θ = 1.
Substituting sin^2θ = 1 - cos^2θ into the expression, we get:
(1/(1 - cos^2θ) - 1)/(1 + cos^2θ/(1 - cos^2θ))
= (1 - (1 - cos^2θ))/(1 + cos^2θ/(1 - cos^2θ))
= (cos^2θ)/(1 + cos^2θ/(1 - cos^2θ))
Simplifying the denominator:
1 + cos^2θ/(1 - cos^2θ) = (1(1 - cos^2θ) + cos^2θ)/(1 - cos^2θ)
= (1 - cos^2θ + cos^2θ)/(1 - cos^2θ)
= 1/(1 - cos^2θ)
Substituting this back into the expression, we have:
(cos^2θ)/(1/(1 - cos^2θ))
= cos^2θ * (1 - cos^2θ)
= cos^2θ - cos^4θ
Therefore, the simplified expression is cos^2θ - cos^4θ.
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The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
The solution is (1, 1), refer to the image :)
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
\(-12 x \frac{2}{3}\)
According to the given question -12 \(\times\) 2/3 is equal to -8.
There are certain rules to solve this question.
multiply -12 × 2 = -24
And,
then divide it by 3 as stated in the denominator.
\(\frac{-24}{3}\) = -8
This is how we solve this equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
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two cars start moving from the same point. one travels south at 48 mi/h and the other travels west at 20 mi/h. at what rate is the distance between the cars increasing two hours later? (no response) seenkey 52 mi/h
The rate at which the distance between the two cars is increasing two hours later is 52 mi/h.
To determine the rate of change of the distance between the cars, we can use the concept of relative velocity. Since one car is moving south and the other is moving west, their velocities are perpendicular to each other. Thus, we can use the Pythagorean theorem to find the distance between them at any given time.
After two hours, the southbound car would have traveled 48 mi/h * 2 h = 96 miles, and the westbound car would have traveled 20 mi/h * 2 h = 40 miles. Therefore, the distance between the cars is the hypotenuse of a right triangle with sides 96 miles and 40 miles.
Using the Pythagorean theorem, the distance between the cars is √(96^2 + 40^2) = √(9216 + 1600) = √10816 = 104 miles.
Since two hours have passed, the rate at which the distance is increasing is 104 miles / 2 hours = 52 mi/h. Therefore, the distance between the cars is increasing at a rate of 52 mi/h.
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f(x)=2(x)² +5√(x+2).
When x = 3, f(x) = 18 + 5√5.
To evaluate the function f(x) = 2(x)² + 5√(x+2), we'll substitute a given value of x into the function and simplify the expression. Let's go through the steps:
Start with the given function: f(x) = 2(x)² + 5√(x+2).
Substitute a specific value for x. Let's say x = 3.
Plug in the value of x into the function: f(3) = 2(3)² + 5√(3+2).
Evaluate the exponent: 3² = 9.
Simplify the square root: √(3+2) = √5.
Multiply the squared term: 2(9) = 18.
Substitute the simplified square root: 18 + 5√5.
Therefore, when x = 3, f(x) = 18 + 5√5.
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Evaluate the function f(x) = 2(x)² + 5√(x+2)
For what value of n does
216^n-2/ (1/36) ^3n
= 216
Answer: D
Step-by-step explanation:
on edge it’s D. 1
The value of n for the expression is, n = 1
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 216ⁿ⁻² / (1/36)³ⁿ = 216
Now, We can simplify as;
⇒ 216ⁿ⁻² / (1/36)³ⁿ = 216
⇒ 216ⁿ⁻² (36)³ⁿ = 216
⇒ (6³) ⁿ⁻² (6²)³ⁿ = 216
⇒ 6³ⁿ⁻⁶ 6⁶ⁿ = 6³
By comparing we get;
⇒ 3n - 6 + 6n = 3
⇒ 9n = 3 + 6
⇒ 9n = 9
⇒ n = 1
Thus, The value of n for the expression is, n = 1
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On the subway 8 out of 11 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do not have a briefcase
Answer: 127
Step-by-step explanation:
A company that sold fish for an aquarium had a special one weekend on tetras and
angel fish.
- The store sold a total of 110 of those types of fish over the weekend.
The tetras each sold for $0.40 and the angel fish each sold for $1.20. They made a
total of $80 in selling those fish.
Which system of equations best represents this situation if t = the number of tetras
and a = the number of angel fish.
Therefore, the system of equations representing this situation is:
t + a = 110
0.40t + 1.20a = 80
To represent the given situation with a system of equations, we can set up the equations based on the information provided.
Let's use the variables t for the number of tetras and a for the number of angel fish.
The store sold a total of 110 fish over the weekend:
t + a = 110
The tetras sold for $0.40 each and the angel fish sold for $1.20 each, and the total revenue from selling those fish was $80:
0.40t + 1.20a = 80
Therefore, the system of equations representing this situation is:
t + a = 110
0.40t + 1.20a = 80
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Can some one help me solve these 3 questions?
write 6x+2y=-12 in slope intercept form
Answer:
y = -3x - 6
Step-by-step explanation:
Slope intercept form:
y = mx +b
6x + 2y = -12
2y = -6x - 12
\(\frac{2y}{2}=\frac{-6x}{2} - \frac{12}{2}\\\\ y = -3x - 6\)
Answer:
Step-by-step explanation:
Write in slope-intercept form
y=-3x-6
The intensity I of light produced by a light source varies inversely as the square of the distance d from the source. If the intensity of light produced 3 metres from a light source is 75 Cd, find the intensity of light produced 5 metres from the same source
27 cd
Step-by-step explanation:
(75 cd)(3m)^2 = (x)(5m)^2
x = (75 cd)(9 m^2)/(25 m^2)
= 27 cd
Write the equation for the graph below. "y" should be on the left side of the
equation. Do not enter any spaces.
Please help !! 20 points !!
Answer: y=-3x
Step-by-step explanation:
y=mx+c
y-intercept=0
gradient=3/-1=-3
2x^3y + 18xy - 10x^2y - 90y part b: rewrite the expression completely factored.
Answer:
Part A: Factor out the GCF. In this case, the GCF is 2y. So it looks like
2 x^3 * y+18xy-10 x^2 * y-90y=2y (x^3 - 5 x^2 + 9x-45)
Part B: The result from above will need to be factored by grouping.
Part C: If you switch the terms, the factoring will work out differently, but at the end, the factorization will be the same.
Step-by-step explanation:
A class trip is planned for a cinema visit.
1/4 of the people walk to it.
1/3 of the people, get the bus.
The remaining 60 people get a lift in a car.
Calculate the number of pupils who get the bus and who walk to the cinema.
Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.
Step-by-step explanation:
Let's suppose that there are a total of N pupils.
We know that N/4 walk to the cinema.
We know that N/3 get the bus to the cinema.
And the remainder is equal to 60 people.
Then:
N - N/4 - N/3 = 60
N*(1 - 1/4 - 1/3) = 60
N( 12/12 - 3/12 - 4/12) = 60
N*( 5/12) = 60
N = (12/5)*60 = 144
Then the number of pupils that walk to the cinema is N/4, or:
144/4 = 36
And the number of pupils that get the bus is N/3, or:
144/3 = 48.
48/16 = x/8
Find value x
Answer:
24
Step-by-step explanation:
hope it helps....
it's 100% correct
Answer:
24
Step-by-step explanation:
simplify 48/16
3 = X/8
Multiply both sides by 8
3 × 8 = 24
what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
What is a point.? endless flat surface,line that cross, an exact location a, straight path
Answer:
an exact location should be the right answer
Find the rate of change of f(x)=x^2−8 at the indicated numbers c. (Use symbolic notation and fractions where needed.) f'(−7)= f'(7)
To find the rate of change of the function f(x) = x^2 - 8 at the numbers -7 and 7, we need to calculate the derivative of the function and evaluate it at those points. The rates of change, denoted as f'(-7) and f'(7), can be determined by finding the derivative of f(x) and substituting the respective values.
The derivative of f(x) = x^2 - 8 can be found by applying the power rule of differentiation. According to the power rule, the derivative of x^n is nx^(n-1).
Differentiating f(x), we get f'(x) = 2x.
To find the rate of change at -7, we substitute -7 into the derivative: f'(-7) = 2(-7) = -14. Therefore, the rate of change of f(x) at -7 is -14.
Similarly, substituting 7 into the derivative gives us f'(7) = 2(7) = 14. Thus, the rate of change of f(x) at 7 is 14.
In summary, the rate of change of f(x) = x^2 - 8 at -7 is -14, and at 7, it is 14.
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What number is missing in the pattern?
324 108 ___ 12 4
Answer:
36 is missing.
Step-by-step explanation:
multiply 4 by 3, you get 12
12 by 3 you get 36
36 by 3 you get 108 and then 108 by 3 is 324
Give the following number
in Base 5.
1310 = [?]5
Expand 13 as 10 + 3.
10 = 2×5, so
13 = 2×5 + 3×1
or
13 = 2×5¹ + 3×5⁰ = 23₅
After applying SARSA, can we estimate V? If yes, write the equation to estimate VT. If no, explain why.
SARSA alone cannot be used to estimate V(s). If we want to estimate the state values, we need to employ additional algorithms designed specifically for state-value estimation.
After applying the SARSA (State-Action-Reward-State-Action) algorithm, we can estimate the action-value function Q(s, a), which represents the expected return when taking action a in state s and following a specific policy. However, directly estimating the state-value function V(s) is not possible from SARSA alone.
The reason is that SARSA is an on-policy algorithm, meaning it estimates the value function for the policy it is following. It specifically focuses on learning action values rather than state values. As SARSA updates Q-values based on the actions taken and observed rewards, it does not directly estimate V(s).
To estimate the state-value function V(s), we typically use other algorithms such as Monte Carlo methods or TD (Temporal Difference) learning methods like TD(0) or TD(lambda). These algorithms directly estimate the state values without needing to estimate the action values.
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Hallie has 10 times as many pages to read for her homework assignments as Janet. Altogether, they have to read 264 pages. How many pages does each girl have to read?
Answer: 24 pages
Step-by-step explanation:
10 times 24 equals 240
Answer:
Janet has to read 24 pages.
Hallie has to read 240 pages.
Step-by-step explanation:
If Janet has to read n pages, then Hallie has to read 10×n.
Together they have to read 11 × n = 264 pages, so: n=264÷11=24.
Hope this helps
Gwendolyn shot a coin with a sling shot up into the air from the top of a building. The graph below represents the height of the coin after
x seconds.
Answer: A
Step-by-step explanation:
For the first week of January, Kim Walker worked 45.25 hours. Kim earns 10.90 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Answer:
Gross pay when she works 46 hours a week = 532 dollars per week
Step-by-step explanation:
Complete question
Find gross pay when she works 46 hours a week
Solution
For working hours less than or equal to 40 hours, kim earns 10.90 per hour
For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour
Gross pay for 46 working hours = 40 *10.90 + 6*16 = 532 dollars per week
at a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 14 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate (in ft/min) is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v
The height of the pile is increasing at a rate of approximately 0.056 feet per minute when the pile is 12 feet high.
We are given that sand is falling off at a rate of 14 cubic feet per minute, and the diameter of the base of the cone is approximately three times the altitude. Let h be the height of the pile at a given time t, then we can write the volume of the cone as V = (1/3)πr^2h, where r is the radius of the base of the cone. Since the diameter is three times the altitude, we have r = 3h/2.
Taking the derivative of the volume with respect to time, we get dV/dt = (1/3)π(9h^2/4)(dh/dt). Plugging in the given values, we get:
14 = (1/3)π(9h^2/4)(dh/dt)
Simplifying, we get:
dh/dt = 56/(3πh^2)
When the height of the pile is 12 feet, the rate of change of the height of the pile is:
dh/dt = 56/(3π(12)^2) ≈ 0.056 ft/min.
Therefore, the height of the pile is changing at a rate of approximately 0.056 ft/min when the pile is 12 feet high.
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Write a 5 digit number so that when you round to the nearest hundredth, your answer is 14.6. The number cannot include any zeros.
Answer:
14.598
Step-by-step explanation:
When you round that number to the nearest hundredth, you'll get 14.6. Hope this helps.
What is the distance between the point (1,4) and (3,7)
Answer:
POINTS
Step-by-step explanation: