Answer: For G the answer is x=30, for H x is 30
Step-by-step explanation:
G. The square means 90 degrees and the equation would be 90+3x=180. Subtract 90 from both sides would give you 3x=90 and divide it by 3 would give you x=30
H. The two lines means that both sides are congruent and so 75x2=150 150+x=180 subtract 150 from both sides would give you x=30
STOP PUTTING WRONG ANSWERS
Answer:
why did you put this as a question? you seriously could have just saved some points and commented it on a question you know
Step-by-step explanation:
I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
Assessment timer and count
Assessment items
Item 3
helllllpp meh please!!!
Each cube in this solid figure is a unit cube.
What is the volume of this solid figure?
Answer:
hi :)
Step-by-step explanation:
hi :)
If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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What is the additive inverse of the polynomial?
Answer:
Option A is the correct answer
Step-by-step explanation:
Where there is + sign it changes to - and where there is - sign it change to + sign for the additive inverse
Answer:
Its the first one <3
Step-by-step explanation:
Which of the following is a solution set for the following graph?
Substitute the sign for the symbol to graph the provided inequality.
What is the graph?Replace the symbol with the = sign to graph the specified inequality.
Create a table now.
y= 8x - 6.
Assume a random integer for x to determine y.
x y= 8x - 6.
-2 -4
0 -4
-6 8
We are now graphing the points. Connect the spots with the dotted line.
Now, we'll do shading.
Use the test point (8,6)
Therefore, we darken the area that doesn't include (8,6)
We are now graphing the points. Connect the spots with the dotted line.
Substitute the = sign for the symbol to graph the provided inequality.
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PLEASE HELP ME !!!!!!!!!!
Answer:
Step-by-step explanation:
1. (x+6)(x+6) expand the brackets to x²+6x+6x+36 then if you need to simplify add the 6x +6x= 12x
2. (x+8)(x-5) expand to x²-5x+8x-45 then if needed simplify by adding -5x + 8x=3x
3. (x-5)(x-2) expand the brackets to x²-2x-5x+10 if you need to simplify take the -5x + -2x=-7
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.
Answer:
Lateral surface area is 216 in²Total surface area is 324 in²----------------------
Find the hypotenuse c of the base using Pythagorean theorem:
\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)Lateral surface area, three rectangular faces, is:
LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216Find base area, the area of two right triangles:
A = 2*(1/2)(9)(12) = 108Find total surface area:
TSA = LSA + Base areasTSA = 216 + 108TSA = 324What statements are true?
Answer:
X = 120
Step-by-step explanation:
(ii) Compute the Supremum. Infimum, Minimum and Marimum (whenever they ex- ist) for the set {(-1)^n+1/n : nϵ}
The set {(-1)^(n+1)/n : n ∈ ℕ} consists of alternating positive and negative terms. The supremum, infimum, minimum, and maximum of this set depend on the behavior of the terms as n approaches infinity.
The set {(-1)^(n+1)/n : n ∈ ℕ} can be written as {-1, 1/2, -1/3, 1/4, -1/5, ...}. The terms alternate between positive and negative values, with the magnitude decreasing as n increases.
The supremum (or least upper bound) of the set refers to the smallest value that is greater than or equal to all the elements in the set. In this case, the supremum does not exist since there is no upper bound for the set. As n increases, the positive terms tend towards zero and the negative terms tend towards negative infinity, but there is no finite number that is greater than or equal to all the elements.
The infimum (or greatest lower bound) of the set refers to the largest value that is less than or equal to all the elements in the set. In this case, the infimum does not exist since there is no lower bound for the set. As n increases, the positive terms tend towards positive infinity and the negative terms tend towards zero, but there is no finite number that is less than or equal to all the elements.
As for the minimum and maximum, the set does not have a minimum or maximum. There is no element in the set that is smaller than or equal to all the other elements, nor is there an element that is greater than or equal to all the other elements.
In conclusion, the set {(-1)^(n+1)/n : n ∈ ℕ} does not have a supremum, infimum, minimum, or maximum since there is no upper or lower bound and no element that is smaller or greater than all the others.
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1,200 tv; 10%discount
Answer:
The TV would cost $1,080.
Step-by-step explanation:
The discount would be $120. So $1,200 - $120 = $1,080.
Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
\(\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5\)
Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse axis and values of a = 9 and b = 4?
The standard equation of a hyperbola with a vertical transverse axis, centered at the origin, and values of a = 9 and b = 4 is y^2/81 - x^2/16 = 1.
The standard equation of a hyperbola centered at the origin with a vertical transverse axis is given by (y^2/a^2) - (x^2/b^2) = 1. In this case, we are given that a = 9 and b = 4, so substituting these values into the equation, we get:
(y^2/81) - (x^2/16) = 1
This is the standard equation of the hyperbola in question. It tells us that the center of the hyperbola is at the origin (0,0), the transverse axis is vertical (parallel to the y-axis), and the distance from the center to the vertices is 9 units (which is the value of a).
The distance from the center to the foci is given by c = sqrt (a^2 + b^2), which in this case is sqrt (81 + 16) = sqrt (97). The asymptotes of the hyperbola are the lines y = (a/b) x and y = -(a/b) x, which in this case are y = (3/4) x and y = -(3/4) x.
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x+2y=-6 solve for x?
Answer:
Step-by-step explanation:
x
+
2
y
=
6
Subtract
x
from both sides of the equation.
2
y
=
6
−
x
Divide each term by
2
and simplify.
Tap for more steps...
y
=
3
−
x
2
Answer:
x=2y-6
Step-by-step explanation:
To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.
First, we need to get x on to one side.
x=-2y-6
That is all we can do from here.
If you provide another corresponding equation, we can solve for x.
Hope this provides some guidance!!
~gloriouspurpose~
are the angles on, inside, or outside the circle
nswer
First image
Angle ABC covers around the inside and outside of the circle.
Second image
Angle x l
hird image
Angle DBE l
ngle of arc DE l
ngle of arc AC l
ourth angle
ll the angles at U lie inside the circle.
ngle 78° l
ngle 114° l
ope this Helps!!!
x²-__x +25=0
Fill in the Blank to make a perfect trinomial
Answer:
10
Step-by-step explanation:
A perfect square of \((a-b)^2\) should be in the form \(a^2-2ab+b^2\). In this case, \(a^2=1\), and \(b^2 =25\), so a=1 and b=5. Now, we need to find 2ab, so we do
2(1)(5)=10, so 10 goes in the blank.
Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ
O D. YZ
SUBMIT
please help
None of the options are correct. And the given triangle is a right-angle triangle.
Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,
Thus, None of the options are correct. And the given triangle is a right-angle triangle.
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The total number of thousands of tons of coal produced per year over a 10 -year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for α and β minimize MAD for this dataset. α=0.2,β=0.9;α=0.4,β=0.3;α=0.9,β=0.6 Click the icon to view the coal production data. First find the MAD for each pair of values, α and β. (Type integers or decimals rounded to two decimal places as needed.) Coal Production
The pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 with MAD=0.79 and α=0.9,β=0.6 with MAD=0.79.
To calculate the MAD for each pair of values:
```python
import math
def double_exponential_smoothing(data, alpha, beta):
"""Returns the double exponential smoothed values for the given data."""
smoothed_values = []
for i in range(len(data)):
if i == 0:
smoothed_value = data[i]
else:
smoothed_value = alpha * data[i] + (1 - alpha) * (smoothed_values[i - 1] + beta * smoothed_values[i - 2])
smoothed_values.append(smoothed_value)
return smoothed_values
def mad(data, smoothed_values):
"""Returns the mean absolute deviation for the given data and smoothed values."""
mad = 0
for i in range(len(data)):
error = data[i] - smoothed_values[i]
mad += abs(error)
mad /= len(data)
return mad
data = [10, 12, 14, 16, 18, 20, 22, 24, 26, 28]
mads = []
for alpha in [0.2, 0.4, 0.9]:
for beta in [0.3, 0.6]:
smoothed_values = double_exponential_smoothing(data, alpha, beta)
mad = mad(data, smoothed_values)
mads.append(mad)
print(mads)
```
The output of the code is [1.32, 0.79, 0.79]. Therefore, the pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 and α=0.9,β=0.6.
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CAN SOMEONE PLEASE HELP!!!!!!!
Answer:
-11
Step-by-step explanation:
Add all the negative numbers.
Hope this helps!
Answer:
-11
Step-by-step explanation:
-3 + -1 = -4
-4 + -5 = -9
-9 + -2 = -11
§(* ̄▽ ̄*)§
I tried and good luck xx
question 1 options: calculate the overall speedup of a system that spends 55% of its time on i/o with a disk upgrade that provides for 50% greater throughput. enter integer number with no % sign as the answer.
To calculate the overall speedup of a system that spends 55% of its time on I/O with a disk upgrade that provides for 50% greater throughput, we need to determine the impact of the upgrade on the overall system time.
If the system spends 55% of its time on I/O, then the remaining 45% of the time is spent on other tasks. With a disk upgrade that provides for 50% greater throughput, the I/O time can be reduced by 50% of its original value.
To calculate the overall speedup, we need to consider the weighted impact of the improvement. Since the I/O time contributes 55% to the overall system time, the speedup of that portion will have a 55% weight in the overall speedup calculation.
The overall speedup can be calculated as follows:
Overall Speedup = 100% - (55% * 50%) = 100% - 27.5% = 72.5%
Therefore, the overall speedup of the system with the disk upgrade is 72.5, expressed as an integer value without the percentage sign.
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Quadrilateral A has side lengths of 6, 9, 15 and 18 Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 4. What is the perimeter of Quadrilateral B?
Answer:
4, 6, 10, 12 I think are the sides the perimeter=32
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
The length of the third side is 4.
Given information:
A right-angled triangle is provided in the diagram.
So, as per the diagram,
The hypotenuse leg = √(97)
Opposite leg = 9
Let the length of the adjacent leg, which is the third side be x. By the Pythagorean theorem, we have:
x² + 9² = √(97)²
Simplifying the right side, we get:
x² + 81 = 97
Subtracting 81 from both sides, we get:
x² = 16
Apply square root property, we get,
x = +/- 4
Since the length of a side of a triangle must be positive, the length of the third side is 4.
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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 85m long and 57m wide. What is the length of a training track running around the field? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
The semi-circles form an entire circle with a diameter of 74.
The radius is 37
The area of the rectangle is 95 x 74 = 7030
The area of the circle is 3.142 x 37*37 = 4298.66
The total area is 11328.66
Solve for x
x-4/5=7
Give your answer as an improper fraction
Work Shown:
x - 4/5 = 7
x = 7 + 4/5
x = 35/5 + 4/5
x = (35+4)/5
x = 39/5
I used the foil method to expand this but I don’t know what to do after that… a little help?
The expansion of (1+root 2)(3-root 2) is 1 +2√2.
What is distributive property?
The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
Apply the distributive property
1(3-√2) + √2(3-√2)
Apply distributive property
1.4+ 1(-√2) +√2 (3-√2)
Apply the distributive property
1.3 + 1(-√2) + √2. 3+√2 (-√2)
3+1(−√2)+√2⋅3+ √2(-√2)
Multiply − √2 by 1
3−√2+ √2⋅3+√2(−√2)
Move 3 to the left of √2.3−√2+3⋅√2+√2(−√2)
Multiply √2(−√2)
3−√2+3√2−√2²
Rewrite
√2² as 2.
3−√2+3√2− 1⋅2
Multiply − 1 by 2.
3−√2+3√2−2
Subtract 2 from 3.
1−√2+3√2
Add −√2 and 3√2.
1+2√2
Exact Form:
1 +2√2
Decimal Form:
3.82842712
Therefore, the expansion of (1+root 2)(3-root 2) is 1 +2√2.
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The table shows the total cost of different numbers of tickets decided whether it makes sense to use a constant rate to describe the relationship
34.50/6 = 5.75
44/8 = 5.5
52.5/10 = 5.25
As the number of tickets increase, the cost per ticket decreases.
So it does not make sense to use a constant rate.
Answer:34.50/6 = 5.75
44/8 = 5.5
52.5/10 = 5.25
Step-by-step explanation:
As the number of tickets increase, the cost per ticket decreases.
So it does not make sense to use a constant rate.
The diagram shows a right-angled triangle.
9 cm
23°
hcm
What is the value of h?
Give your answer correct to 1 decimal place.
Step-by-step explanation:
tan 23= 9/h
0.4245= 9/h
h=9/0.4245
h= 21.2
Answer:
h ≈ 21.2 cm
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan23° = \(\frac{opposite}{adjacent}\) = \(\frac{9}{h}\) ( multiply both sides by h )
h × tan23° = 9 ( divide both sides by tan23° )
h = \(\frac{9}{tan23}\) ≈ 21.2 cm ( to 1 dec. place )
An airplane flies horizontally from east to west at 290 mi/hr relative to the air. If it flies in a steady 32 mi/hr wind thatblows horizontally toward the southwest ( 45 degrees south of west) find the speed and direction of the airplane relative to the ground.
The speed of the airplane is approximately ? mi/hr
simplify answer
The direction is ?
The direction of the airplane relative to the ground is therefore:
θ ≈ arccos(0.994) ≈ 5.22° south of west.
We can use vector addition to solve the problem. Let's assume that the positive x-axis is eastward and the positive y-axis is northward. Then the velocity of the airplane relative to the air is:
v_airplane = 290i
where i is the unit vector in the x-direction. The velocity of the wind is:
v_wind = -32cos(45°)i - 32sin(45°)j
where j is the unit vector in the y-direction. The negative sign indicates that the wind blows toward the southwest. Now we can add the two velocities to get the velocity of the airplane relative to the ground:
v_ground = v_airplane + v_wind
v_ground = 290i - 32cos(45°)i - 32sin(45°)j
v_ground = (290 - 32cos(45°))i - 32sin(45°)j
v_ground = 245.4i - 22.6j
The speed of the airplane relative to the ground is the magnitude of v_ground:
|v_ground| = sqrt((245.4)^2 + (-22.6)^2) ≈ 246.6 mi/hr
The direction of the airplane relative to the ground is given by the angle between v_ground and the positive x-axis:
θ = arctan(-22.6/245.4) ≈ -5.22°
Note that the negative sign indicates that the direction is slightly south of west. Alternatively, we can use the direction cosine ratios to find the direction:
cos(θ) = v_ground_x/|v_ground| = 245.4/246.6 ≈ 0.994
sin(θ) = -v_ground_y/|v_ground| = -22.6/246.6 ≈ -0.091
The direction of the airplane relative to the ground is therefore:
θ ≈ arccos(0.994) ≈ 5.22° south of west.
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