Answer:
sup nope right bye bye bye bye bye when hug hut bye
Step-by-step explanation:
When x > 0 and y > 0, what expression is equivalent to √180x^9y^16 in simplest form?
Answer:
\(6x^4y^8\sqrt{5x}\)
Step-by-step explanation:
\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)
\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)
\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)
\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)
\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)
\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)
\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)
\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)
\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)
\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)
\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)
\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)
\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)
\(6 \sqrt{5x}\;x^4\;y^8\)
\(\textsf{Rearrange:}\)
\(6x^4y^8\sqrt{5x}\)
\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)
\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)
2g + h =2
g -h= -5
find g and h step by step explanation
Answer:
Step-by-step explanation:
2g + h = 2 --------------(I)
g - h = -5------------(II)
g = -5 + h
Plugin g = -5 + h in equation (I)
2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}
(-5)*2 + h *2 + h= 2
-10 + 2h + h = 2
3h = 2 + 10
3h = 12
h = 12/3
h = 4
Substitute h= 6 in equation (I)
2g + 4 = 2
2g = 2 - 4
2g = -2
g = -2/2
g = -1
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
Which of the following is an extraneous solution of
√-3x-2=x+2
The option that is extraneous solution of
√-3x-2=x+2 is A. -6.
How to illustrate the information?From the information given, taking square both sides
-3x - 2 = (x + 3)²
On applying identity = a² + b² + 2ab
Then ,
-3x -2 = x² + 2² + 2 * 2 *x
-3x -2 = x² + 4 + 4x.
On adding both sides by 3x
-2 = x² + 4 + 4x + 3x
-2 = x² + 4 + 7x
On adding both sides by 2
0 = x² + 4 + 7x + 2
On switching sides
x² +7x + 6 = 0
On Factoring
x² +6x + x + 6 = 0
x ( x+ 6 ) +1 (x +6 ) = 0
On grouping
( x +1) ( x +6) = 0
x = -1, -6.
An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.
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Complete question
Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6
What is the area of this figure?
Enter your answer in the box.
M2
Answer:
532 Meters Squared
Step-by-step explanation:
18x18=324 (8x16)/2=64 (18x16)/2=144 324+64+144=532
Beck uses 25 robux to buy 3 spins on a game she likes, she spends 8 thousand robux to finally roll a good item.How much spins did she get?
Answer:
960
Step-by-step explanation:
8000/25 = 320
320 • 3 = 960
Is 6 right?? Please help
Answer:
yes, it should be
Step-by-step explanation:
Find \(A(3,4)\).
HINT: \(A(1,n)=2^n\) whenever \(n \geq 1\)
Along with proof of (a.) and (d.), (b.) Power tower: one level is a, (k + 1) levels is a raised to the power of a power tower with k levels, (c.) A(2, n) <= 2 ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.
What is an Ackermann function?The idea of a fully computable function that is not primitive recursive is illustrated by the recursively constructed mathematical function known as the Ackermann function. Since m and n are non-negative integers, it is commonly written as A(m, n).
a.) Prove using regular induction that \(A(1, n) \leq 2^n\) for all positive integers n:
Base Case: For n = 1, A(1, 1) = 2, which is equal to \(2^1\).
Inductive Hypothesis: Assume that \(A(1, k) \leq 2^k\) for some positive integer k.
Inductive Step: We need to show that \(A(1, k + 1) \leq 2^{(k + 1)}\). Using the recursive definition of A(m, n), we have \(A(1, k + 1) = A(0, A(1, k)) = 2^{(A(1, k))}\leq 2^{(2^k)}\) (by inductive hypothesis)\(< = 2^{(2^{(k + 1)})}\).
Therefore, by regular induction, we have proved that \(A(1, n) \leq 2^n\) for all positive integers n.
b.) A power tower with one level is defined as a, and a power tower with (k + 1) levels is defined as a raised to the power of a power tower with k levels.
c.) \(A(2, n) \leq 2\) ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.
d.) The recursive definition of a triple arrow-up notation for power towers is:
a ↑↑↑ 1 = a (base case)
a ↑↑↑ (k + 1) = a ↑↑ (a ↑↑↑ k) (recursive step)
This definition states that a triple arrow-up notation with one level is equal to the base value "a", and a triple arrow-up notation with (k + 1) levels is equal to "a" raised to the power of a triple arrow-up notation with "k" levels.
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Complete Question: ( Refer to image)
A bag contains 3 green marbles and 5 white marbles. Paul picks a marble at random from the
bag and does not put it back in the bag. He then picks another marble from the bag.
a. Construct a probability tree of the problem.
A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.
How to create the tree?The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.
The next step is to branch from the starting point and show the possible results of the first event. This includes taking out the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.
After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.
The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.
The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome
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cm
C
What is the answer to 56mm = how many cm?
Answer:
5.6 cm
Step-by-step explanation:
mm to cm is ÷ 10
56 ÷ 10 = 5.6
What is the tangent of -4pie/3, please include all of the steps
Using the periodicity of the tangent function we can see that:
tan(-4π/3) = -√3
How to find the value of the tangent?Ok, we know that the trigonometric functions have a period of 2π, that means that we can rewrite the expression:
tan(-4π/3)
as:
tan(-4π/3 + 2π)
The argument can be rewritten as:
tan(-4π/3 + 2π) = tan(2π/3)
Using a table for the tangent function we can see that it is equal to -√3, that is the value of the tangent.
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Use only the commutative property of addition to complete the statement.
2x + 21=
Based on the commutative property of addition, 2x + 21 = 21 + 2x.
What is the Commutative Property of Addition?The commutative property of addition states that when we change the order of arrangement of the addends, the value of the sum remains the same.
For example, 3 + 4 = 4 + 3.
Also, given the statement 2x + 21, we can state that:
2x + 21 = 21 + 2x
Therefore, based on the commutative property of addition, 2x + 21 = 21 + 2x.
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Angelina spent less than 15 hours practicing for her surfing competition. How many hours could she have spent surfing?
A graphing calculator is recommended. Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = e, a = 1 Graphſ and Tg on the same screen. y 3 2 -1 1 2 X -4 -3 -2 -1 -3 -2 - 1 1 2 6 -1 2 -3
Its Taylor polynomial T3(x) for function f with the number an as the center is T 3(x)=(x 2 + 61 x 2 ). 3
With an example, define a polynomial.Sums of terms with the pattern kxn—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. A polynomial is a function that exclusively uses positive integer exponents or non-negative integer powers of a variable in an equation, such as a quadratic or cubic equation. A polynomial with an exponent of 1 is, for instance, 2x+5.
T 3 (x)=f(a) + 1!f ′ (a)(xa) + 2!f ′′(a)(xa) 2 plus 1 3!f ′′′(a)(x−a) 3=0plus 1!−1(x− 2π)+ 2!0(x− 2π) 2 plus 1 3!1 (x− 2π) 3=−(x− 2π)+ 61\s(x− 2π) 3
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In the early stages of building the Hoover Dam diversion tunnels were built to divert the flow of water away from the main construction site. Each diversion tunnel was cylindrical with a radius of 56 feet and a length of 4,000 feet. Find the volume and surface area of a diversion tunnel.
Answer:
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.
Step-by-step explanation:
To find the volume and surface area of a diversion tunnel, we can use the formulas for the volume and lateral surface area of a cylinder.
The volume of a cylinder is given by the formula:
V = πr^2h
Where:
V is the volume,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
V = π(56^2)(4,000)
V ≈ 3.14159 * 56^2 * 4,000
Calculating the volume:
V ≈ 9,839,916,800 cubic feet
The surface area of the lateral (curved) part of a cylinder is given by the formula:
A = 2πrh
Where:
A is the surface area,
π is a mathematical constant approximately equal to 3.14159,
r is the radius of the cylinder, and
h is the height (or length) of the cylinder.
Substituting the given values:
r = 56 feet
h = 4,000 feet
A = 2π(56)(4,000)
A ≈ 2 * 3.14159 * 56 * 4,000
Calculating the surface area:
A ≈ 1,000,530.9 square feet
Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.
order the numbers from least to greatest 1 1/3 2 1/3 -1/2 -3.7 1.6 and -1.9
Answer:
-3.7, -1.9, 1/2, 1/3, 1/3, 1, 1.6, 2
Step-by-step explanation:
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
look at the picture i have attached and tell me what you think???
Step-by-step explanation:
parallel is two lines that go like this \\ or like this =
perpendicular is two lines that go like this +
which is it?
Answer:
they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2
Help
See the picture
Answer:
it's 4
Step-by-step explanation:
it's 4 because you times
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%
Answer:
D,p
Step-by-step explanation:
whattttttt ,why is there no option in D
The Probability that a data value is between 27 and 28 is 9.3%.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,
Here, mean of the data is 26
P(0 ≤ x - μ ≤ σ/2) = 0.195
P(0 ≤ x - μ ≤ σ/4) = 0.0987
P(σ/4 ≤ x - μ ≤ σ/2) = 0.093
Thus, the Probability that a data value is between 27 and 28 is 9.3%.
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Question 1 of 7
Find the total weight of three items that weigh:
5 3/4 kg, 3 1/5kg, and 7 3/5
Answer:
16 11/20
Step-by-step explanation:
5 3/4 = (4 x 5 + 3)/4 = 23/4 kg
3 1/5 = (5 x 3 + 1)/5 = 16/5 kg
7 3/5 = (5 x 7 + 3)/5 = 38/5 kg
23/4 + 16/5 + 38/5
23/4 = (23/4) x (5/5) = 115/20
16/5 = (16/5) x (4/4) = 64/20
38/5 = (38/5) x (4/4) = 152/20
115/20 + 64/20 + 152/20 = 331/20 kg
331/20 = 16 11/20
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.
What is the velocity of the car when t = 6? Please show your work and include units in your answer.
The velocity experimented by the car is equal to - 1 feet per second.
What is the velocity of a car at a given time?
Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:
y = m · t + b
Then, the functions for the velocity and acceleration are shown below:
Velocity
dy / dt = m
The slope represents the velocity of the car.
Acceleration
d²y / dt² = 0
Then, the velocity of the car is found by means of the secant line formula:
dy / dt = (0 ft - 10 ft) / (10 s - 0 s)
dy / dt = - 1 ft / s
The velocity of the car is - 1 feet per second.
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5 × ( 1 / 3 + 2 / 5 ) =
write your answer as a mixed number
Answer: the answer is 2 and 1/15
Step-by-step explanation:
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
Find the height of the cliff. If necessary, round to the nearest hundredth yard.
We are given a diagram showing a slope, and a vertical height. We now have what represents a right angled triangle. The distance from the base of the cliff to the end of the slope is given as 24 yards. The slope itself is 37 yards. We shall now determine the height of the cliff (from ground to top) as indicated.
Note that we shall use the Pythagoras' theorem which is;
\(c^2=a^2+b^2\)Where we have
\(\begin{gathered} c=\text{hypotenuse (longest side)} \\ a,b=\text{other sides} \end{gathered}\)We can now substitute the given values/side lengths and we'll have;
\(37^2=24^2+b^2\)\(1369=576+b^2\)Subtract 576 from both sides;
\(793=b^2\)Take the square root of both sides;
\(\begin{gathered} \sqrt[]{793}=\sqrt[]{b^2} \\ 28.160255\ldots=b \end{gathered}\)Rounded to the nearest hundredth, the answer now becomes;
ANSWER:
\(b=28.16yd\)The last option is the correct answer
The width of a rectangle measures (4.3q - 3.1) centimeters, and its length
measures (9.6q-3.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.
What is the Perimeter of a Rectangle?A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:
Perimeter of a rectangle = 2(length + width).
Given the following:
Width of the rectangle = (4.3q - 3.1) centimetersLength of the rectangle = (9.6q - 3.6) centimetersTherefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:
Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)
Combine like terms
Perimeter of rectangle = 2(7.3q - 6.7)
Perimeter of rectangle = 14.6q - 13.4
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Please answer I'm smooth brained
Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1.
15−||2−3a||
Answer:
GUESS ILL SAY IT AGAIN #373521 JEEZ WHOEVER BANNED MY ANSWER
look its a funny code wonder what for?
Step-by-step explanation:
find the average if the sum is 2052 and the count is 5
410.4
5|2,052.00
2,502/5 = 410.4
410.4 rounded is 410.
The average is 410.
Let me know if this is the correct answer. :)Which statement about the quadratic function m(x) = -x2 + 11x - 28 is true?
A. Since m(x) =-(x - 4)(x + 7), the zeros for m(x) are 4 and -7.
B. Since m(x) = -(x - 4)(x - 7), the zeros for m(x) are 4 and 7.
C. Since m(x) = -(x + 4)(x + 7), the zeros for m(x) are -4 and -7.
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Answer:
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.
Step-by-step explanation:
Answer:
Step-by-step explanation:
So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.
Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.
So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.
Then you would find out that x = 4, 7.
Does this help?
Mr. and Mrs. Burnet's gross earnings total $5,825. How much of the amount earned is spent on
taxes and insurance?
Taxes, 15%
Entertainment,3%
Car/Gas, 9%
Insurance, 7%
College Fund,
10%
Utilities, 8%
Rent, 21%
Savings, 14%
Food, 8%
Clothing, 5%
Answer:
The Burnets spent .22 × $5,825 = $1,281.50 on taxes and insurance.
1. Find what price maximizes profits.
Starting Cost: 700,000
Cost per unit: 110
Demand Curve: 70,000 - 200P
Answer:
The price that maximizes profits is $230 per good
The maximum profits earned at the above set price is $2,180,000
Step-by-step explanation:
Determine the profit function
\(Q=70000-200P\\Q+200P=70000\\200P=70000-Q\\P=350-\frac{1}{200}Q\)
Find the total revenue function
\(TR=P*Q\\TR=(350-0.005Q)*Q\\TR=350Q-0.005Q^2\)
Find the total profit function
\(TP=TR-TC\\TP=(350Q-0.005Q^2)-(110Q+700000)\\TP=240Q-0.005Q^2-700000\)
Determine the profit-maximizing quantity of output
\(\frac{d(PT)}{dQ}=240-0.01Q\)
\(0=240-0.01Q\)
\(-240=-0.01Q\)
\(24000=Q\)
Determine the profit-maximizing price
\(P=350-0.005Q\\P=350-0.005(24000)\\P=350-120\\P=230\)
(Optional) Determine the total profit
\(TP=240Q-0.005Q^2-700000\\TP=240(24000)-0.005(24000)^2-700000\\TP=2180000\)
This means that the firm makes its maximum profit of $2,180,000 when the price per good is set to $230.