Answer:
(5a+5b+3ab)/15
Step-by-step explanation:
qquy đồng lên thôi !!
What is the value of x and y
Hello !
We solve this system:
[tex]\begin{cases} 2y + 2 &=3y - 9 \: \: \: \: (1)\\ 3x + 6 &=y + 4 \end{cases}[/tex]
[tex](1) : 2y + 2 = 3y - 9 \\ - y + 2 = - 9 \\ - y = - 11\\ y = 11[/tex]
We replace y by 11 in the second equation:
[tex]3x + 6 = 11 + 4 \\ 3x + 6 = 15 \\ 3x = 9 \\ x = \frac{9}{3} = 3[/tex]
_____________
[tex]x = 3[/tex]
[tex]y = 11[/tex]
Have a nice day ;)
Answer:
x = 3
y = 11
Step-by-step explanation:
Since DRWH is a parallelogram
Then ,the opposite sides are congruent
Then , DR = HW and DH = RW
………………………………………………
DR = HW
⇔ 2y + 2 = 3y - 9
⇔ 9 + 2 = 3y - 2y
⇔ 11 = y
⇔ y = 11
DH = RW
⇔ 3x + 6 = y + 4
⇔ 3x + 6 = 11 + 4
⇔ 3x + 6 = 15
⇔ 3x = 15 - 6
⇔ 3x = 9
⇔ x = 9/3
⇔ x = 3
Please help ill give whoever answers the best the brainliest answer :)
Answer:
3. Linear: f(x) = 1320(1.20)^2
Step-by-step explanation:
Exponential Growth Formula: f(x) = [tex]x_{0}[/tex] × (1 + r)^x
f(x) is the value at time t.
x0 is the initial value at time t=0.
x0 = 1320
r = 20% = 0.2
Solve:
f(x) = [tex]x_{0}[/tex] × (1 + r)^x
f(x) = 1320 × (1 + 0.2)^2
f(x) = 1320(1.2)^2
Answer: 3rd answer
Step-by-step explanation:
Because Purdue starts with 1320 employees, and then multiplies that by 1.2 each year. If x represents 3 years, Purdue has:
1320(1.2)^3
=1320(1.728)
=2280.96
What are the legnths of SV and QT
An equation is formed of two equal expressions. The length of the sides QT and SV are 21 units and 41 units respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the length of TR is 17 and it is equal to side VR, therefore,
VR = VT
3x + 2 = 17
x = 5
Since the given figure is a kite, therefore,
QT= QV = 4x + 1
QT = 4(5) + 1
QT = 21 units
Similarly, the sides SV will be equal to ST,
SV =ST = 9x - 4
SV = 9(5) - 4
SV = 41 units
Hence, the length of the sides QT and SV is 21 units and 41 units respectively.
The complete question is:
The length of TR is 17 units. What are the lengths of SV and QT?
SV=___ units
QT=___ units
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Are these functions or not?
Answers:
Not a functionNot a functionFunctionNot a function=====================================================
Explanation:
A function has any given input lead to exactly one output.
Relation 1 has the input "paper" lead to more than one output, which are the values 9 and -3. Therefore, relation 1 is not a function.
Relations 2 and 4 are similar stories.
---------
In contrast, relation 3 has each input lead to exactly one output, which is why we have a function here.
Put another way: a function cannot have the x coordinates repeat, but the y coordinates can repeat.
a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizontally. The angle of elavation from the top of the smaller building to the top of the building is 30 degrees and the angle of depression from the top of the smaller building to the base of the building is 20 degrees. how tall is the smaller building
The height of the smaller building is 94.63 feet, computed using the trigonometric ratios.
In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.
Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.
The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.
The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.
When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.
We are asked to find the height of the shorter building, that is, we are asked to find CD.
In ΔCBD,
tan ∠CBD = CD/BD {perpendicular/base},
or, tan 20° = CD/260,
or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},
or, CD = 94.6322609092.
Therefore, the height of the smaller building is 94.63 feet, computed using the trigonometric ratios.
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Which is the best approximation for the solution of the system of equations?
y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1
y = 3x – 2
(0.45, 0.88)
(0.88, 0.65)
(0.88, 1.1)
(1.3, 0.88)
The solution to the system of equations is the point of intersection of the two lines which is at; (0.88, 0.65)
How to find the solution of simultaneous equations?The two simultaneous equations of the line are given as:
y = -²/₅x + 1 -----(1)
y = 3x – 2 -----(2)
Subtracting equation 1 from equation 2 gives;
3.4x - 3 = 0
3.4x = 3
3.4x/3.4 = 3/3.4
x = 0.88
Substitute x = 0.88 in equation 2 to get;
y = 3(0.88) - 2
y = 2.65 - 2
y = 0.65
Thus, the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65).
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Directions: Indicate product of FOIL for the problem:
Answer:
[tex] {x}^{4} - {y}^{2} [/tex]
Step-by-step explanation:
This is a difference of squares, so its the square of the first term minus the square of the second term.
Express with fractional exponents instead of radicals.
Answer:
I don't know
Step-by-step explanation:
980-788711758c75ds47c75c70rz76vyif7cuc8f58x85c7f85f8c
I need to know the answer please help me
What line is parallel to the equation y=5x+1
In the diagram, ΔGHJ ≅ ΔSTU.
Triangles G H J and T U S are shown. The lengths of sides G H and G J are 5 centimeters. Angle G H J is 67 degrees. The lengths of sides T S and U S are 5 centimeters. The length of T U is 3.7 centimeters.
What are the missing measures in the diagram?
m∠J =
°
m∠T =
°
m∠G =
°
ST =
cm
HJ =
cm
Step-by-step explanation:
angle J is also 67 deg since the triangle is an isosceles triangle
angle T is 67 deg since the 2 triangles are congruent
angle G = 180 - 2x67 = 46 deg
ST is 5cm
HJ is 3.7cm
Answer:
What are the missing measures in the diagram?
m∠J =
✔ 67
°
m∠T =
✔ 67
°
m∠G =
✔ 46
°
ST =
✔ 5
cm
HJ =
✔ 3.7
cm
Step-by-step explanation:
Please Help!!
1. Research the history of the Great Pyramids of Giza. In your research, be sure to include the pyramids' actual dimensions such as height and base measurements.
2. Choose one of the Great Pyramids of Giza and create a scale drawing using an exact proportion between the pyramid and scale drawing.
The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
How to illustrate the information?The Great Pyramid is the largest Egyptian pyramid and also the tomb of rge Fourth dynasty Pharaoh.
It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
It is also the oldest of the seven wonders of the world.
A scale scale drawing using an exact proportion between the pyramid will be 147 to 230.
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Answer:
The actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
How to illustrate the information?
The Great Pyramid is the largest Egyptian pyramid and also the tomb of the Fourth dynasty Pharaoh.
It should be noted that the actual dimensions of the Great Pyramid include a height of 146.6m and a base of 230.33m.
It is also the oldest of the seven wonders of the world.
A scale drawing using an exact proportion between the pyramid will be 147 to 230.
Find y.
Help me please thanks
Answer:
Step-by-step explanation:
Discussion
First draw FH
<FOH and <FGH share the end points of the chord FH
<FOH is a central angle.
<FGH touches the circumference of the circle in the on the same side of the point of angle <FOH is closest to
Therefore <FGH is 1/2 <FOH. That is always true of central angles and the smaller angle touching the circumference that <FOH points to
Conclusion
<FGH = 1/2 < FOH
58 = 1/2 <FOH
Therefore <FOH = 2 * 58 = 116
y = < FOH
Answer
y = 116
Find the length of the short leg on the following right triangle.
60+90+ angle U = 180 {sum of angle of triangle}
or, 150+ U= 180
or, angle U = 30°
From here we got that ,
angle U is smallest.
We know that, side opposite to the shortest angle is shortest side. So , short leg is side PM
In right angled triangle PMU,
hypotenuse(h) = 10
angle theta = 60°
perpendicular (PM)= ?
NOW,
sin theta = Perpendicular/ hypotenuse
or, sin 60° = P/10
[tex] \\or \frac{ \sqrt{3} }{2} = p \div 10[/tex]
[tex] or\frac{10 \sqrt{3} }{2} = p[/tex]
[tex]or \: 5 \sqrt{3 } = p[/tex]
Therefore,
[tex]short \: leg = 5 \sqrt{3} [/tex]
Given that x = 3 + 8i and y = 7 - i, match the equivalent expressions.
By applying operations for complex numbers, we have these:
- 5 · x + y = - 8 - i 41- x · y = - 29 - i 53x · 2 · y = 58 + i 1062 · x - 3 · y = - 15 + i 19How to find four equivalent complex expressions
Herein we must apply the operations of summing two complex numbers, multiplying two complex numbers and multiplying a complex number by a real number, which are defined below:
Addition between two complex numbers
(a + i b) + (c + i d) = (a + c) + i (b + d) (1)
Multiplication between two complex numbers
(a + i · b) · (c + i d) = (a · c - b · d) + i (b · c + a · d)
Multiplication of a complex number by a real number
k · (a + i b) = k · a + i k · b (2)
Now we proceed to find the equivalent expressions:
- 5 · x + y = - 5 · (3 + i 8) + (7 - i) = (- 15 - i 40) + (7 - i) = - 8 - i 41
- x · y = - (3 + i 8) · (7 - i) = (- 3 - i 8) · (7 - i) = (- 21 - 8) + i (- 56 + 3) = - 29 - i 53
x · 2 · y = (3 + i 8) · 2 · (7 - i) = (3 + i 8) · (14 - i 2) = (42 + 16) + i (112 - 6) = 58 + i 106
2 · x - 3 · y = 2 · (3 + i 8) - 3 · (7 - i) = (6 + i 16) + (- 21 + i 3) = - 15 + i 19
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Match the features of the graph of the rational function.
After applying algebraic analysis we find the right choices for each case, all of which cannot be presented herein due to length restrictions. Please read explanation below.
How to analyze rational functions
In this problem we have a rational function, whose features can be inferred by algebraic handling:
Holes - x-values that do not belong to the domain of the rational function:
x³ + 8 · x² - 9 · x = 0
x · (x² + 8 · x - 9) = 0
x · (x + 9) · (x - 1) = 0
x = 0 ∨ x = - 9 ∨ x = 1
But one root is an evitable discontinuity as:
y = (9 · x² + 81 · x)/(x³ + 8 · x² - 9 · x)
y = (9 · x + 81)/(x² + 8 · x - 9)
Thus, there are only two holes. (x = - 9 ∨ x = 1) Besides, there is no hole where the y-intercept should be.
Vertical asymptotes - There is a vertical asymptote where a hole exists. Hence, the function has two vertical asymptotes.
Horizontal asymptotes - Horizontal asymptote exists and represents the end behavior of the function if and only if the grade of the numerator is not greater than the grade of the denominator. If possible, this assymptote is found by this limit:
[tex]y = \lim_{x \to \pm \infty} \frac {9\cdot x + 81}{x^{2}+8\cdot x - 9}[/tex]
y = 0
The function has a horizontal asymptote.
x-Intercept - There is an x-intercept for all x-value such that numerator is equal to zero:
9 · x + 81 = 0
x = - 9
There is a x-intercept.
Lastly, we have the following conclusions:
How many holes? 2One horizontal asymptote along the line where y always equals what number: 0This function has x-intercepts? TrueOne vertical asymptote along the line where x always equals what number: 1There is a hole where the y-intercept should be? FalseTo learn more on rational functions: https://brainly.com/question/27914791
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4.
Please answer the question on exponential growth or decay. Round to
if
the nearest whole number or penny if the question is concerning money
necessary
Arubber bouncy ball is dropped from a
height of 192.00 cm onto a hard flat floor.
After each bounce, the ball returns to a
height that is 20% less than the previous
maximum height. What is the maximum
height reached after the 10th bounce?
Using a decaying exponential function, it is found that the maximum height reached after the 10th bounce is of 20.62 cm.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the parameters are:
A(0) = 192, r = 0.2.
Hence the maximum height after the nth bounce is:
[tex]A[n] = 192(0.8)^n[/tex]
After the 10th bounce, the maximum height in cm is of:
[tex]A[10] = 192(0.8)^10 = 20.62[/tex]
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find the mean of factors of 18
Edward rewrote the product of two rational expressions to show the multiplication of the numerators and denominators. (5y/9)(x 3) (5y)(x 3)/(9)(4x)
If Edward rewrote the product of [tex](5y/9)(x//3)(5y)(x^{3}/9)(4x)[/tex] is [tex](100x^{5}y^{2} )/243[/tex].
Given Expressions [tex](5y/9)(x/3)(5y)(x^{3}/9)(4x)[/tex].
We have to solve this expression by finding product and product is the result of multiplication of two numbers.
Expression is a combination of numbers, symbols, variables, coefficients, fraction of numbers. It is not expressed in equal to form. It is generally evaluated to form full expression not to find the value of variables. Numerator is the number above division sign and number below the division sign is known as denominator.
(5y/9)(x/3)(5y)(x^{3}/9)(4x)=
We have to first add powers of same variables. and multiply the coefficients of all the variables whether they are in numerator and denominators.
=[tex](4x^{5} *25y^{2}) /27*9[/tex]
=[tex](100x^{5} y^{2} )/243[/tex]
Hence the product of expressions (5y/9)(x/3)(5y)(x^{3}/9)(4x) is
(100x^{5} y^{2} )/243.
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Answer:
5xy + 15y / 36x
Step-by-step explanation:
B.
Using index notation , express the following number as products of their prime factors . (1) 45 (2) 80 (3) 420 (4) 625 (5) 81
3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively. This can be obtained by taking the factors of these numbers and wring as the powers as shown below.
What is index notation?
It is a method of representing numbers and variables that are multiplied by themselves a number of times.
For example, 7³, a²
What are the index notations of the given numbers?
The given numbers can be represented as the following:
(1) 45 =3×3×5 = 3²×5
(2) 80 =2×2×2×2×5 = 2⁴×5
(3) 420 =2×2×3×5×7 = 2²×3×5×7
(4) 625 =5×5×5×5 = 5⁴
(5) 81 =3×3×3×3 = 3⁴
Hence 3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively.
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PLEASE LOOK AT THE PIC BELOW AND HELPPP
Answer: See attached.
Step-by-step explanation:
For [a], we graph the parent function (y = x²), but shift it downwards 2 units.
For [b], we graph the parent function (y = x²), but shift it downwards 6 units, shift it to the right 2 units, and apply a compress factor of 3.
if x= -5 what will the value of y be if y equals 4 - x2
Answer:
The number that could not be a value of y if y = 4x² - 6 is -12.
Step-by-step explanation:
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
If x=-5, what is y is y=4-x²?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Put in the value of x.
[tex]\bf{y=4-(-5)^2}[/tex] | evaluate using Bodmas
[tex]\bf{y=4-25}[/tex] | subtract
[tex]\bf{y=-21}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=y=-21}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted Actual Donation No Donation 268 Donation 268 20 No Donation 5,375 23,439 The following table lists some information on individual observations from the validation set:
Observation ID Actual Class Probability of Predicted Class Donation A Donation 0.8 Donation B No Donation 0.1 No Donation C No Donation 0.6 Donation a) Compute the values of accuracy, sensitivity, specificity, and precision.
b) Explain how the probability of Donation was computed for the three observations. Why were Observations A and C class fled as Donation and Observation Donation?
The accuracy in the research done by university is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
Given sample size of 58205 and proportion of people donated 576. Cutoff is 0.5.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
TP=total people donated in sample, TN=total number of people,FP=donation,FN=No donation
Accuracy is calculated as under:
=(TP+TN)/(TP+TN+FP+FN)
=(268+23439)/(238+23439+5375+20)
=23707/29102
=0.81
Accuracy=0.81
Sensitivity is calculated as under:
=TP/(TP+FN)
=268/(268+20)
=268/288
=0.93
Precision is calculated as under:
=TP/(TP+FP)
=268/(268+5375)
=268/5643
=0.047
Their values are the probabilities in itself.
Hence accuracy is 0.81, sensitivity is 0.93, specificity is 0.81 and precision is 0.047.
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What is the common difference for this arithmetic sequence?
-6-1,49, 14...
The common difference for the arithmetic sequence in the task content is; -5.
What is the common difference of the arithmetic sequence?The common difference of the sequence which is arithmetic can be evaluated as the difference between each successive term.
Hence, it follows that the common difference is;
-1-(-6) = 4-(-1) = 9-4 = 5.
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There are x cats and y dogs in a section of a judging competition. The judges will not allow more than 20 animals in this section of the competition. A. Write an inequation to show the above information.
Which triangles illustrate the Side Angle Side Similarity theorem (abbreviated S A S).
Answer:
Triangles a, b, and d
Step-by-step explanation:
The three triangles have a side length measurement, an angle measure, then another side length measurement
in that order (the order matters)
Triangle a,b and d are the answers.
How to find the side angle side (SAS)?"SAS" is when you know the two sides and the angle between them. Use the cosine theorem to calculate the unknown edge, then use the sine and cosine theorem to find the smaller of the other two angles, and then use the three angles that are 180 ° to find the last angle. .. The side of the
angle refers to the two rays or line segments that form the angle. In the figure below, the rays BA and BC are the sides of the angle ABC. An angle is formed by rotating a ray around its endpoint.
Edge-side assumptions-> If the two sides and edges of a triangle are congruent with the two sides and the edges of another triangle, the two triangles are congruent by the side-angle assumptions.
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A triangle is dilated by a scale factor of n = One-third. Which statement is true regarding the dilation?
It is a reduction because n > 1.
It is a reduction because 0 < n < 1.
It is an enlargement because n > 1.
It is an enlargement because 0 > n > 1.
The true statement is (b) It is a reduction because 0 < n < 1.
How to determine the true statement?The scale factor of dilation is given as:
n = 1/3
When the scale factor (n) is between 0 and 1, then the dilation is considered reduction or compression;
Otherwise, the dilation is considered enlargement or stretch
Because n is between 0 and 1, then the dilation is a reduction
Hence, the true statement is (b) It is a reduction because 0 < n < 1.
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Answer:
b
Step-by-step explanation:
The Investment Research Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 5,700 in 1999 to 8,064 in 2009. What is the geometric mean annual percent increase in the number of funds
The geometric mean is 6833.049
The value of fund in 1999 is 5,700
value of fund in 2009 is 8,064
We need to find the geometric mean annual percent increase in the number of funds.
The geometric mean is the average of a set of products, it is defined as the compounding effect of the numbers in the series in which the numbers are multiplied by taking nth root of the multiplication.
The calculation of which is commonly used to determine the performance results of an investment or portfolio.
We know, The Geometric mean is = [tex]\sqrt[n]{x_1*x_2*...*x_n}[/tex]
substituting values:
[tex]\\ GM = (5790*8064)^{0.5} = 6833.049[/tex]
Formula used:Geometric mean is = [tex]\sqrt[n]{x_1*x_2*...*x_n}[/tex]
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Type the correct answer in the box. If necessary, use / for the fraction bar. A shaded triangular pyramid and an inverted shaded triangular pyramid has their bases on the bottom and the top sides of a rectangular prism. Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism, expressed as a fraction in simplest form, is . Reset Next
The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.Since both pyramids have the same base area as the prism, their combined volume is given by:
Combined volume = (1/3 × b × h) + (1/3 × b × h)
Combined volume = 2/3 × b × h
Also, the volume of this prism = 1/2 × b × h
Thus, the ratio is given by:
Ratio = (2/3 × b × h)/(1/2 × b × h)
Ratio = 2/3 × 1/2
Ratio = 1/3.
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A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)? a It has the same slope and the same y-intercept. b It has the same slope and a different y-intercept. c It has the same y-intercept and a different slope. d It has a different slope and a different y-intercept.
It has the same slope and the same y-intercept, that is, option a is the right choice.
A linear function in the slope-intercept is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept.
We are given two linear functions and are asked to compare them.
First linear function:
Slope (m) = -7/9.
y-intercept (b) = 3.
Therefore, the linear function is: y = (-7/9)x + 3.
Second linear function:
Function given: y + 11 = (-7/9)(x - 18)
or, y + 11 = (-7/9)x + (-7/9)(-18)
or, y = (-7/9)x + 14 - 11 = (-7/9)x + 3.
Therefore, slope (m) = (-7/9)
y-intercept (b) = 3.
Therefore, we can say that it has the same slope and the same y-intercept, that is, option a is the right choice.
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