\( \large \sf \underline {Option \: 2}\)
\( \sf \frac{ - 24 {x}^{5} {y}^{3} }{6 {x}^{2} {y}^{2} } \)\( \sf \cancel \frac{ {- 24} {x}^{ 5} {y}^{3} }{ 6 {x}^{ {2}} {y}^{2} } \)\( \boxed{ \sf \bold{ - 4 {x}^{3}y} }\)Hope It's Helps! :)
Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Kiran's hourly pay?
What is the runner’s speed?
minutes per mile
Answer:
The runner's speed is "10" minutes per mile
Step-by-step explanation:
EDGE 2020
ZoneZ Faze on YT
Please answer this question now in two minutes
Answer:
u+43°=u_3°+u+3° (by exterior angle theorem)
u+43°= 2u
or, 2u_u=43°
or, u= 43°
is the value of u.....
WRITE ONLY THE
NUMERICAL VALUE. mDE=(
mFE=(
mCFD=(
104°
mDEF=(
mDFE=(
Sequence Problem Below
Answer:
\(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}\)
Step-by-step explanation:
\(\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4\)
Note: Figure not to scale
What is the measure of the angle marked y?
Answer:
y = 48°
Step-by-step explanation:
In parallelogram STVU,
\( m\angle TVU + 60\degree = 180\degree\) (linear pair angles)
\( m\angle TVU = 180\degree - 60\degree \)
\( m\angle TVU = 120\degree \)
\( m\angle UST= m\angle TVU =120\degree \)(Opposite angles of a parallelogram)
\( m\angle USR= 120\degree(\because S-R-T) \)
\( 108\degree + m\angle USR+m\angle PSR= 360\degree\)
\( 108\degree + 120\degree+m\angle PSR= 360\degree\)
\( 228\degree + m\angle PSR= 360\degree\)
\( m\angle PSR= 360\degree - 228\degree \)
\( m\angle PSR= 132\degree \)
\( y+m\angle PSR= 180\degree \)
(Adjacent angles of a parallelogram)
\( y+ 132\degree= 180\degree \)
\( y= 180\degree-132\degree\)
\( y= 48\degree\)
How many solutions does this linear system have Y =- 1 2x 4 x 2y =- 8?.
The linear system of equation y = -12x and 4x+2y= -8 has only one solution at 0.4,-4.8) .
The linear equation is y = -12x and 4x+2y = -8
Now we solve the equations by substitution:
Using the value of y from the first equation and substituting in the second equation we get:
4x+2y = -8
or, 4x + 2(-12x)= -8
or, 4x -24x = -8
or, -20 x = -8
or, x = 0.4
At x=0.4 , y = -4.8
Hence solution is (0.4,-4.8) which represents the point of intersection of the two lines.
The collection of variable values in a linear equation that yields every feasible solution is referred to as the "solution of a linear equation." Unknown variables are used as one or more variables in linear equations to model real-world issues.
The solutions are the points at which the lines or planes used to describe the linear equations intersect or meet. The set of values for each variable in a system of linear equations is known as the solution set.
Disclaimer: the complete question is :
How many solutions does this linear system have y = -12x and 4x+2y= -8 have?
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In the number 7.759, how does the 7 in the ones place copare to the value of the 7 in the tenths place
Answer: Please see answer in explanation column
Step-by-step explanation:
Place value tells us how much value or the worth of a number. In a decimal number as such below, The numbers before the decimal point are whole numbers, while after the decimal number are regarded as fractions .
In the number 7.759,
The place value of One of the 7 represents 7 unit = 7.0
and the other 7 represents 7 tenths = 7/ 10 of unit= 0.7
We can see from above the the 7 unit, a whole number is greater than 7 tenths which is a fraction.
se Euler's formula to show that the product ofstudent submitted image, transcription available belowcan be used to derive the trigonometric identities
student submitted image, transcription available below
student submitted image, transcription available below
Euler's formula can be used to derive the trigonometric identities.
How does Euler's formula relate to the derivation of trigonometric identities?Euler's formula states that for any real number x, the complex exponential function can be represented as follows:
\(\[e^{ix} = \cos(x) + i\sin(x)\]\)
where \(e\) is the base of the natural logarithm, \(i\) is the imaginary unit, \(\cos(x)\) represents the cosine function, and \(\sin(x)\) represents the sine function. This formula provides a powerful connection between exponential functions and trigonometric functions.
To derive trigonometric identities using Euler's formula, we can start with the exponential form of Euler's formula and manipulate it algebraically. Let's consider the complex exponential function for two angles, \(x\) and \(y\):
\(\[e^{ix} \cdot e^{iy}\]\)
Using the properties of exponents, we can simplify this expression:
\(\[e^{ix} \cdot e^{iy} = e^{i(x + y)}\]\)
Now, applying Euler's formula to both sides, we get:
\(\[\cos(x) + i\sin(x) \cdot \cos(y) + i\sin(y) = \cos(x + y) + i\sin(x + y)\]\)
By comparing the real and imaginary parts of this equation, we obtain the sum and product formulas for cosine and sine:
\(\[\cos(x) \cdot \cos(y) - \sin(x) \cdot \sin(y) = \cos(x + y)\]\[\sin(x) \cdot \cos(y) + \cos(x) \cdot \sin(y) = \sin(x + y)\]\)
These are known as the angle addition formulas, and they form the basis for deriving other trigonometric identities. By manipulating and applying these formulas, we can establish relationships such as double-angle formulas, half-angle formulas, and more.
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Kaitlyn put a third of a cup of sugar into the bowl. She then added one and one-fifth cups more. Realizing that she put in too much, she removed half of a cup. How much sugar was left in the bowl?
Answer:
23/30
Step-by-step explanation:
when estimating a population​ mean, are you more likely to be correct when you use a point estimate or an interval​ estimate? explain your reasoning.
In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.
When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.
By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.
The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.
Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.
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(6.6 × 10⁰) + (7.8 × 10²)
Answer:
786.6
Step-by-step explanation:
Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8
6.6 + 780
786.6
Answer:
786.6
Step-by-step explanation:
Problem:
(6.6 × 10⁰) + (7.8 × 10²)
Step 1 - Parenthesis:
(6.6 × 10⁰) + (7.8 × 10²)
Step 2 - Exponents(Left to Right):
(6.6 × 10^0) + (7.8 × 10^2) = (6.6 × 1) + (7.8 × 100)
Step 3 - Multiply(Left to Right):
(6.6 × 1) + (7.8 × 100) = 6.6 + 780
Step 4 - Add(Left to Right)
6.6 + 780 = 786.6
Step 5 - Answer:
786.6
Remember:Parenthesis
Exponents(Left to Right)
Multiplication(Left to Right)
Division(Left to Right)
Addition(Left to Right)
Subtraction(Left to Right)
a number is 11 more than another number. twice the sum of the two numbers is 38. find the two numbers.
Let's assume the first number to be x. Then, the second number will be 11 more than x, so the second number will be x + 11.
Thus, the two numbers can be expressed as x and x + 11.The twice the sum of the two numbers is 38. The sum of the two numbers is x + (x + 11), which is 2x + 11. So,
twice the sum of the two numbers is 2 × (2x + 11) which is equal to 4x + 22.So, we can write an equation to express this statement as 4x + 22 = 38.Subtract 22 from both sides of the equation.
4x = 16Divide both sides of the equation by 4. x = 4Thus, the first number is 4 and the second number is 11 more than 4, which is 15.The two numbers are 4 and 15.
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HELP ASAP 30 points
Part 1 out of 2
To repair a large truck or bus, a mechanic might use a parallelogram lift. The figure shows a side view of
the lift. FGKL, GHJK, and FHJL are parallelograms.
G
2
T: +
3
5
6
8
17
K
3
Which angles are congruent to 21?
<2 2
are congruent to 21.
Check
Next
Answer:
<6 , <8 , <3 are congruent to <1
Step-by-step explanation:
<6 = <1 ( being opposite Angles of parallelogram )
<8 = <6 ( being corresponding angles)
<8 = <1
<3 = <8 ( being opposite angles of parallelogram)
<3 = <1
Hope it will help :)❤
there are 24 chairs in 4 rows how many chairs are in one row
Answer:
6
Step-by-step explanation:
total number=24
number of row = 4
now,
number in one row=24/4
=6
Someone plz help me :(
Answer:
I believe the answer is B: 1 1/8, 1.6, 1.625, 1 5/6
Step-by-step explanation:
I need help please. I’m struggling
The stated functions f(x) as well as g(x) are equivalent for x = 1.648.
What exactly is a "logarithmic function"?The multiplicative power (or exponent) that one base number must also be raised to in order to yield another number. For instance, to get 100 using the base-10 method, 10 must also be multiplied by 10. In a base-10 system, the logarithm to 100 is therefore 2.The opposite of such an exponential function is a logarithmic function. A log function and even an exponential function both use the same base.Now, the given functions in the question are-
f(x) = ㏒₃ 2x
g(x) = -4x² + 3x + 7
Both of the functions' graphs were made using Desmos.
The graph clearly shows that both functions remain equal now at point of convergence of curves.
f(x) equals g at x = 1.648. (x).
For x = 1.648, both functions f(x) as well as g(x) are hence equal.
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According to the Guinness Book of World Records, a woman from Russia, Mrs. Vassilyeva, had 69 children between the years 1725 to 1765. She had 16 pairs of twins, 7 sets of triplets, and 4 sets of quadruplets. Suppose one of the births is randomly selected. Given that Mrs. Vassilyeva gave birth to at least 3 children (triplets), what is the probability that she gave birth to quadruplets?
(A) 4/27
(B) 7/11
(C) 3/11
(D) 3/27
(E) 4/11
The probability that Mrs. Vassilyeva gave birth to quadruplets, given that she gave birth to at least 3 children, is 16/69, which is closest to option A.
Out of the 69 children Mrs. Vassilyeva had, there were 16 x 2 = 32 twins, 7 x 3 = 21 triplets, and 4 x 4 = 16 quadruplets. This means that the total number of births was,
32 + 21 + 16 = 69
If we randomly select one of these births, the probability that it is a quadruplet is,
P(quadruplet) = 16/69
Given that Mrs. Vassilyeva gave birth to at least 3 children (triplets), this means that the number of possible births that could have been selected is 21 + 16 = 37. Therefore, the probability that the selected birth was a quadruplet, given that Mrs. Vassilyeva gave birth to at least 3 children, is,
P(quadruplet | at least 3 children) = P(quadruplet and at least 3 children) / P(at least 3 children)
We know that P(quadruplet and at least 3 children) is simply the probability of selecting a quadruplet, which is 16/69. To find P(at least 3 children), we need to find the probability of selecting a triplet, a quadruplet, or one of the remaining 69 - 21 - 16 = 32 births that were not triplets or quadruplets,
P(at least 3 children) = P(triplet) + P(quadruplet) + P(other births)
P(triplet) = 21/69
P(other births) = 32/69
Therefore P(at least 3 children) = 21/69 + 16/69 + 32/69 = 69/69 = 1
Plugging in these values, we get,
P(quadruplet | at least 3 children) = (16/69) / 1 = 16/69
Therefore, the answer is not one of the given options. However, the closest option is (A) 4/27, which is the same as 16/69 rounded to the nearest hundredth.
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help please u^u no links thanks
Answer:
x = 24
Step-by-step explanation:
The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.
90⁰ + 42⁰ + (2x)⁰ = 180⁰
90 + 42 = 132
2x = 180 - 132
2x = 48
x = 24
Answer:
x = 24
Step-by-step explanation:
2x + 42 + 90 = 180
2x + 132 = 180
2x = 48
48/2 = x
x = 24
Have a nice day!
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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What is the congruence theorem used to prove that the two triangles are congruent?
it math questions: true or false!
Answer:
1 true 2true 3false 4true 5 true
Answer:
1: True 2: False 3: True 4: True 5: False
Consider the figure below. What would be the new coordinates of point P if the figure is translated (2, -3) and then reflected across the y-axis? A) P
Answer:
(2,3)
Step-by-step explanation:
Solve for x
Picture is above
Answer:
x = 10
Step-by-step explanation:
a² + b² = c²
6² + 8² = c²
36 + 64 = 100
√100 = ±10
x = 10
Answer:
10
Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x.
It states that in a right triangle, \(a^2 + b^2 = c^2\).
A and b are the sides, while c is the hypotenuse.
We already know the measure of a and b, so we can find the measure of c easily.
\(6^2 + 8^2 = c^2\\\\36+64=c^2\\\\100=c^2\\\\10=c\)
Hope this helped!
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
\((x,y)\to (-(x-a)+a,y)\)
\((x,y)\to (-x+a+a,y)\)
\((x,y)\to (-x+2a,y)\)
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
\((x,y)\to (-x+2(2),y)\)
\((x,y)\to (-x+4,y)\)
Using this rule, we get
\(A(-3,4)\to A'(-(-3)+4,4)\)
\(A(-3,4)\to A'(3+4,4)\)
\(A(-3,4)\to A'(7,4)\)
Similarly,
\(B(-1,4)\to B'(5,4)\)
\(C(-1,-1)\to C'(5,-1)\)
\(D(-3,-1)\to D'(7,-1)\)
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?
A. 4,238,000,000
B. 6,561,000,000
C. 243,000,000
D. 2,187,000,000
Answer:
1 day = 24 hours
we cam divide in 6 periods of 4 hours
if bacteria triples in size every four hours
3 millions at begining
3^7 = 2'187'000'000 bacteria
Espero que te sirva
Answer: Geometric progression
Step-by-step explanation:
0h -> 3x10^6 /4h-> 9x10^6 / 8h-27x10^6 / 12h->81x10^6 / 16h->243x10^6 / 20h-> 729x10^6 / 24h->2187x10^6 = 2.187.000.000.:
Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.
Answer:
-24
Step-by-step explanation:
–18 • –17
solve please
Answer:
306
Step-by-step explanation:
Answer:
306
Step-by-step explanation:
-18x-17 is 306 because a negative number times a negative number is always a positive so it would be 18x17 which is 306
Choose the definition for the function.
(-x+ 2
a. y = x + 1
-x+ 2
b. y = x + 1
x < 1
x ≥ 1
x ≤ 1
x > 1
c. y =
{-x+ 2
x+1
-x+ 2
d. y = { x + 1
x>1
x ≤ 1
x ≥ 1
x < 1
Answer:
d
Step-by-step explanation:
thats waht i got i could be wrongful
PLEASE HELP ME I ONLY HAVE 4 MINUTES If g(x) = -2x^5 - 4, find g(2).
A) -1028
B) -68
C) -24
D) 60
Answer:
I am pretty sure it is this:
2 (- x^5 - 2)i
G = - _________
fx
Step-by-step explanation:
Meaning if you can take it from here, I think you can get it.
The answer is g(2)= -68, B
Answer:
\(\boxed {\tt B. \ g(2)=-68}\)
Step-by-step explanation:
We are given the function:
\(g(x)=-2x^5-4\)
We want to find g(2), so we should substitute 2 in for each x.
\(g(2)=-2(2)^5-4\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. Evaluate the exponent.
(2)⁵= 2*2*2*2*2=32\(g(2)= -2(32)-4\)
Multiply -2 and 32.
-2*32=-64\(g(2)= -64-4\)
Subtract 4 from -64.
\(g(2)=-68\)
The correct answer is B. g(2)= -68