The expression -16x^(-3/2) represents a term that has a coefficient of -16 and a variable x raised to the power of -3/2.
What is an expression?Generally, The expression -16x^(-3/2) represents a term that consists of a coefficient of -16 and the variable x raised to the power of -3/2.
In general, the exponentiation operator (^) represents the idea of raising a number (called the base) to a certain power (called the exponent). For example, x^2 means "x raised to the power of 2" and can be calculated as x * x = x^2.
Similarly, x^3 means "x raised to the power of 3" and can be calculated as x * x * x = x^3.
The exponent -3/2 means that the base (in this case, x) is raised to the power of -3/2. This can be simplified as follows:
x^(-3/2) = 1 / x^(3/2) = 1 / (x^(3/2))
The expression -16x^(-3/2) can then be simplified as follows:
-16x^(-3/2) = -16 * 1 / x^(3/2) = -16 / x^(3/2)
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The complete Question was not found
BD bisects ABC. Find the value of x.
a.x=3/17
b.x=3
c.x=9
d.x=-3
20% of a number is 184. What is the number
Answer:
20% is 184
100% is x
x= 184 • 100/20
x= 920
b ) 7.6cm 8.1cm a cm 10.2cm 65 -* > bcm ccm 690 and find the unknowns
Answer:
I don't even understand that?
Step-by-step explanation:
Here is the answer though; ASK your MOM/DAD!?
Simplify the expression sin 2x+ sin x + cos2x - 1.
Answer:
Sin(2x)+sin(x)+cos(2x)-1
Step-by-step explanation:
problem 1.save and preview only -- answers not submitted for grading (5 points) Find the equation in x and y for the line tangent to the curve in polar coordinates r-2 sin θ at the value θ-- Leave your answer in exact form
The equation in x and y for the line tangent to the curve is x - √3y - √3 = 0
A given curve can be defined by both its cartesian coordinates that is in x-y form or in polar coordinates that is in terms of r and θ there exists a relationship between two sets of coordinates
x = r cosθ
y = r sinθ
The tangent to any curve f(x) is defined by f'(x) . In order to find tangent to a given terms of r and θ , we can calculate from the above to expressions f'(x)
f'(x) = dy/dx = dx/dθ ÷ dy/dθ
It is given in the question that
r = 2 sinθ
Replacing the value of r to the standard equation,
x = (2 sinθ )cosθ = sin2θ
At θ = π/3 , x = √3 / 2
y = (2 sinθ)sinθ = 2sin²θ
At θ = π/3 , y = 3/2
Differentiating both w.r.t θ
=> dx / dθ = 2cosθ
=> dy/dθ = 4sinθcosθ
So, dy/dx = 2cosθ / 4sinθcosθ
=> 1 / 2sinθ
Therefore , slope of tangent : m = 1/2sinθ ( θ = π/3)
=> m = 1 / 2sin(π/3)
=> m = 2 / 2√3
=> m = 1 /√3
Hence , the equation of line is
( y - 3/2 ) = 1 /√3 (x - √3 / 2)
=> √3y - 3√3/2 = x - √3/2
=> x - √3y - √3 = 0
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a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
Will make you brainlistt if it is right
Answer:
The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.
Step-by-step explanation:
I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.
You return from a trip with 130 British pounds. How much are your pounds worth in U.S. dollars?
Answer:
$158.47
Step-by-step explanation:
1 pound is equal to $1.22.
Hope it helped!
I really need help answering this please
Answer:
Step-by-step explanation:
NM=26
LM=\(\sqrt{26^{2} +33^{2} }\)
LM=42.0
The sides of a triangle are 44, 73, and 86. Use the Pythagorean Theorem to determine
if the triangle is right, acute, or obtuse.
The triangle is
of the squares of the other two sides.
because the square of the largest side
Submit Answer
the sum
at
The triangle with sides 44, 73, and 86 is an obtuse triangle.
The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle is equal to the sum of the squares of the lengths of the other two sides, can be used to determine whether the triangle is right, acute, or obtuse.
In an acute triangle, the square of the hypotenuse length is less than the sum of the squares of the other two sides; in an obtuse triangle, the square of the hypotenuse length is greater than the sum of the squares of the other two sides.
Begin by calculating the square of each side:
\(44^2 = 1936\)
\(73^2 = 5329\)
\(86^2 = 7396\)
Let us now see if the triangle fulfils the Pythagorean Theorem:
1936 + 5329 = 7265
We know the triangle is not obtuse because 7265 is less than 7396.
1936 + 7396 = 9332
We know the triangle is not acute because 9332 is greater than 5329.
5329 + 7396 = 12725
We know the triangle is obtuse because 12725 is greater than 7265 but less than 9332.
As a result, the triangle with sides 44, 73, and 86 is obtuse.
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please help me!!!!!!
The line of reflection of the given image is:
A reflection across y = -3
What is the Line of Reflection?A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).
The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.
Looking at the given image, the center point of the mirror images is seen as y = -3
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Could someone please explain this to me step-by-step?
\(( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ \)
Take the reciprocal of the inside to get rid of the negative exponent.
note: reciprocal=flip it over
\(( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ \)
Step 2Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.
note: d=d^1
Using the Law of Exponents:\( \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ \)
\(( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ \)
Step 3\(note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } \)
\(( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ \)
Two candles of equal length are lit simultaneously at 12:00 pm. Candle 1 has 6 hours of burn time before it completely melts away. Candle 2 has 9 hours of burn time before completely melting away. When will Candle #2 have 3 times as much wax remaining as Candle #1?(You must be within 1 minute to be considered correct)
By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.
When will Candle2 have 3 times as much wax remaining as Candle1?
Here we assume that:
Both candles have the same original length L, and both decrease a constant rate.
Candle 1 is consumed in 6 hours, so it is consumed at a rate of:
L/6h.
This means that after a time t in hours, the length of candle 1 is:
L₁(t) = L - (L/6h)*t
For candle 2, the rate is:
L/9h
And the function for the length of candle 2 is:
L₂(t) = L - (L/9h)*t
Now we want to find the value of t such that:
L₂(t) = 3*L₁(t)
So we just solve:
L - (L/9h)*t = 3*(L - (L/6h)*t)
L - (L/9h)*t = 3L - (L/2h)*t
(L/2h)*t - (L/9h)*t = 3L - L = 2L
(5.5L/9h)*t = 2L
t = 2*(9h/5.5) = 3.27 h
After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.
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find the length of the median of the trapezoid
On Monday, Mia spent 3 1/2 hours studying. On Tuesday she spent another 1 3/5 hours studying. What is the total time she spent studying?
pls help me, srry not college
Answer:
5 1/10
Step-by-step explanation:
let me know if you need an explanation
Graphing a linear equation of the form y=mx how do I plot y=-2x
a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)
when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points
On Friday Evelyn sold 9 dresses and 20 pairs of pants. On Saturday she sold twice as many dresses and 10 more pants than Friday. How many dresses did Evelyn sell on Friday and Saturday?
Answer: 27 Dresses and 50 Pants
Step-by-step explanation:
If she sold 9 pairs of pants and
9 x 2 = 18
18 + 9 = 27
20 + 10 = 30
30 + 20 = 50
Evelyn sold 9 dresses and 20 pairs of pants on Friday, and on Saturday, she sold 18 dresses and 30 pairs of pants.
Evelyn's sales of dresses and pants over two days, Friday and Saturday. We'll use some mathematical expressions and reasoning to find out how many dresses Evelyn sold on each day.
Let's start by assigning some variables to represent the number of dresses and pants Evelyn sold on Friday and Saturday. We'll use "F" for Friday and "S" for Saturday. So, let \(D_F\) be the number of dresses sold on Friday, \(D_S\) be the number of dresses sold on Saturday, \(P_F\) be the number of pants sold on Friday, and \(P_S\) be the number of pants sold on Saturday.
According to the problem, on Friday, Evelyn sold 9 dresses, which can be expressed as:
\(D_F\) = 9
She also sold 20 pairs of pants on Friday:
\(P_F\) = 20
Now, let's move on to Saturday's sales. It says she sold twice as many dresses as Friday, which means the number of dresses on Saturday is double that of Friday's sales:
\(D_S = 2 * D_F\)
Additionally, she sold 10 more pairs of pants on Saturday compared to Friday:
\(P_S = P_F + 10\)
We already know that \(D_F = 9\), so we can find the number of dresses sold on Saturday by substituting this value into the equation for \(D_S\):
\(D_S = 2 * 9 = 18\)
Next, we'll calculate the number of pants sold on Saturday using the given information. Since \(P_F = 20\), we can find \(P_S\):
\(P_S = 20 + 10 = 30\)
So, to summarize, Evelyn sold 9 dresses and 20 pairs of pants on Friday, and on Saturday, she sold 18 dresses and 30 pairs of pants.
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HELP awarding brainliest asap and points
Answer:
y=2x+6
Step-by-step explanation:
I just did process of elimination, the line crosses the y-axis through a positive area, and all the other answers had a negative y-intercept, so it couldn't be any of those.
2. P(-4, 2), Q(6, 4), R(11, -2), S(2, -3)
is this is parallelogram or not??
The midpoints are not the same, indicating that the diagonals PR and QS do not bisect each other.Based on these calculations, we can conclude that the quadrilateral formed by the given points P, Q, R, and S is not a parallelogram.
To determine if the quadrilateral formed by the points P(-4, 2), Q(6, 4), R(11, -2), and S(2, -3) is a parallelogram, we need to examine its properties.
A quadrilateral is a parallelogram if opposite sides are parallel. In addition, we can also check if the diagonals bisect each other.First, let's calculate the slopes of the sides PQ, QR, RS, and SP:
Slope of PQ = (4 - 2) / (6 - (-4)) = 2/10 = 1/5
Slope of QR = (-2 - 4) / (11 - 6) = -6/5
Slope of RS = (-3 - (-2)) / (2 - 11) = -1/9
Slope of SP = (2 - (-3)) / (-4 - 2) = 5/6
We observe that the slopes of opposite sides are not equal. Therefore, the sides PQ and RS are not parallel, and the sides QR and SP are not parallel.Additionally, we can calculate the midpoint of the diagonals PR and QS:
Midpoint of PR = ((-4 + 11) / 2, (2 - 2) / 2) = (3.5, 0)
Midpoint of QS = ((6 + 2) / 2, (4 - 3) / 2) = (4, 0.5).
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When Mason left his house in the morning, his cell phone battery was partially charged. Let
B
B represent the charge remaining in Mason's battery, as a percentage,
t
t hours since Mason left his house. The table below has select values showing the linear relationship between
t
t and
B
.
B. Determine the charge of the battery when Mason left his house.
Answer:
The answer is B
Step-by-step explanation:
B because it’s the best answer
The following exchange rate is given: £1=1.35 Dollars. Convert £9 into dollars
Answer:
$12.15
Step-by-step explanation:
Draw a quick picture to find the product of 3×800
Answer:
daymn
it's gonna be okay
Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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In ΔXYZ, y = 500 inches, � m∠Y=117° and � m∠Z=10°. Find the length of z, to the nearest inch.
The length of z in the triangle is 97 inches.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the side z of the triangle XYZ using sine law as follows:
a / sin A = b / sin B = c / sin C
Hence,
500 / sin 117 = z / sin 10
cross multiply
500 sin 10 = z sin 117
divide both sides by sin 117
z = 500 sin 10 / sin 117
z = 86.8240888335 / 0.89100652418
z = 97.4410774411
Therefore,
z = 97 inches
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A toy car costing $50 is on sale for 10% off. What is the sale price of the car? *
Your answer
Answer:
$45
Step-by-step explanation:
10% of 50 = 5
50 - 5
Answer:
$45
Step-by-step explanation:
50 x 0.10 = 5
50-5=45
You invested $6000 between two accounts paying 2% and 8% annual interest, respectively. If the total interest earned for the year was $360, how much was invested at each rate?
Based on the amount invested into the two accounts and their interest rates, the amount invested at each rate is:
8% - $4,0002% - $2,000How to find the amount invested at each rate?Assuming the amount invested at 2% is x, then the formula for this amount would be:
0.02x + 0.08 (6,000 - x ) = 360
Solving for x gives:
0.02x + 0.08 (6,000 - x ) = 360
2x + 48,000 - 8x = 36,000
6x = 12,000
x = 12,000 / 6
x = $2,000
The amount invested at 8% is:
= 6,000 - 2,000
= $4,000
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36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question.
What is the perimeter of a figure?The perimeter of a figure is given by the sum of all the outer sides of the figure.
Hence, for this problem, the perimeter is given by:
P = x + 3 + 2x + 1 + 3
P = 6x + 4.
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question, as:
3x + 3x + 2 + 2 = 6x + 4.
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f(x) = 6^2+12x -7
please answer and explainnnn!
Answer:
A) \(x=-1\pm\sqrt{\frac{13}{6}}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)
What is the area of this figure? No LINKS!!! part 2
Answer:
374 in²
Step-by-step explanation:
The attachment shows how the rectangle can be divided into three parts. The area of the whole is the sum of the areas of the parts. Working from largest to smallest we have ...
Area = sum of LW
Area = (27 in)(11 in) +(10 in)(5 in) +(9 in)(3 in)
= 297 in² +50 in² +27 in²
= 374 in²
3b+4+10+6b-2
IREADY ANSWERS ONLY PLS
Answer: 9b+12
Step-by-step explanation:
Combine the sets if like terms meaning
4+10-2
And 3b+6b
3b+6b= 9b
4+10-2= 12
Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12