Answer:
-14[tex]k^{2}[/tex] + 5k -6
Step-by-step explanation:
(-8[tex]k^{2}[/tex] -6) - (6[tex]k^{2}[/tex] - 5k) Distribute the negative sign
-8[tex]k^{2}[/tex] - 6 -6[tex]k^{2}[/tex] + 5k Combine like terms
-14[tex]k^{2}[/tex] + 5k -6
Answer: -14k^2+15k-6
Step-by-step explanation:
(-8k^2-6)-(6k^2-5k)
-8k^2-6-6k^2+5k
-14k^2-6+5k
-14k^2+15k-6
Order these numbers from least to greatest.
√7
-√6
2.62
54
20
Answer:
-6 7 2.62 20 54
Step-by-step explanation:
A flooring tile ha the hape of a parallelogram whoe bae i 24 cm and the correponding height i 10 cm. How many uch tile are required to cover a floor of area 1080cm q
As per the area of parallelogram, the number of required tile is approximately 5.
The term area of parallelogram is calculated by using the general formula, that can be written as
A = b x h
where b refers the base and h refers the height of parallelogram.
Here we have given that a flooring tile has the shape of a parallelogram whole base is 24 cm and the corresponding height is 10 cm.
Then the area of the parallelogram is calculated as,
=> A = 24 x 10
Then the resulting value is
=> A = 240.
Here we have given that the total given area of the floor is 1080 sq.cm.
Then the required number of tiles is calculated by dividing the terms, then we get,
=> 1080/240
=> 4.5
Therefore, approximately 5 tiles are required.
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12. The length of a rectangle with area 54 square
centimeters is 9 centimeters. What is the perimeter of
the rectangle, in centimeters?
F
1 point
F.
6
G. 12
H. 15
J. 24
K. 30
The rectangle's area is 54 square centimeters, and its diameter is 30 centimeters. The rectangle's length is 9 centimeters.
what is rectangle ?An example of a quadrilateral is a rectangle, which has four vertices that are all 90 degrees apart and parallel sides that are equal to one another. As a result, it is sometimes referred to as an equiangular quadrilateral. The rectangle is a 2D shape with 4 sides, 4 corners, and 4 right angles. The length of each pair of the diagonal sides of a rectangle is equal, with one pair being longer than the other. If all the sides of a rectangle were the same size, the shape would be referred to as a square.
given
Area of a rectangle is defined as length times width,
When we now swap l=9 and A=54,
P=2l+2b,
P=2(9)+2(6)=18+12=30cm, is the formula for the rectangle's perimeter.
The rectangle's area is 54 square centimeters, and its diameter is 30 centimeters. The rectangle's length is 9 centimeters.
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Consider the following LP problem:
Maximize profit = 5X =6Y
Subject to 2X+Y= 120
2X+ 3Y = 240
X,Y= 0
A) What is the optimal solution to this problem? Solve it using solver.
B) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution?
C) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $ 3. Does this change the optimal solution?
Reminder this problem must be solved using Solver in Excel.
Thanks! I need this in Excel form can you send me an attachment to
(A) The optimal solution to this problem = 2.125
(B) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution is, = 10.625
(C) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $ 3 is, = 10.625
Given that,
The following LP problem:
Maximize profit = 5X + 6Y
Subject to 2X+Y= 120
2X+ 3Y = 240
X,Y= 0
Maximize C = 5X + 6Y
2X+Y= 120
2X+ 3Y = 240
and x = 0, y = 0
Plot the lines on graph,
2X+Y= 120
2X+ 3Y = 240
x = 0, y = 0
So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)
Substitute the points in Maximize C
At (0,1.7)
Maximize C = 5X + 6Y
C = 5(0) + 6(1.7)
C = 0 + 10.2
Maximize C = 10.2
At (2.125,0)
Maximize C = 5(2.125) + 6(0)
Maximize C = 10.625
At (0,0)
Maximize C = 5(0) + 6(0)
Maximize C = 0
So, Maximum value is attained at (2.125,0)
So, the optimal value of x is 2.125
The optimal value of y is 0
The maximum value of the objective function is 10.625
There are several ways to calculate optimal solution; one of them, is by using graphs.
The optimal value of x is 2.125
The optimal value of y is: 0
The maximum value of the objective function is: 10.625
Therefore,
(A) The optimal solution to this problem = 2.125
(B) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution is, = 10.625
(C) Instead of an increase in the profit coefficient X to $ 8, suppose that profit was overestimated and should only have been $ 3 is, = 10.625
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Which transformations could create either similar or congruent shapes?
Any combination of rotations, reflections, and translations that maintain the size and shape of the original figure would be considered a series of transformations that would result in a congruent shape.
A congruent square would be produced, for instance, by rotating a square by 90 degrees and then reflecting it over a line of symmetry. A congruent triangle would also result from shifting a triangle to a different place on the plane while maintaining its orientation.
Transformation vital.
It is necessary to realign an institution's structures, cultures, and business models in order to establish a learning environment that significantly and fairly improves student results and educational value. This process can be described as transformation.
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what is the quotient of -2360 and the sum of (-12 and 8)?
Answer:
590
Step-by-step explanation:
2360_
_8+12
=2360_
_4
590
What is the main difference between 2D and 3D transform methods?
2D is "flat", using the horizontal and vertical (X and Y) dimensions, the image has only two dimensions and if turned to the side becomes a line. 3D adds the depth (Z) dimension. This third dimension allows for rotation and visualization from multiple perspectives.
2D transforms happen only on 2 or sometimes even 1 axis. For example if you are in a top orthographic view and rotate an object clockwise, you are usually only changing its rotation value in one axis (z axis in Blender, y in some other software).
In a perspective view, if you are able to use a gizmo to manipulate multiple axis you may be changing the rotation value on all three axes, this would be a 3D transformation.
You can shift an object on any of the three axis easily by grabbing the arrow and sliding the object, or you can move it to an entirely new set of coordinates, that's a 3D transformation.
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An ice chest contains 8 cans of apple juice, 6 cans of grape juice, 7 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of apple juice.
The probability of selecting three cans of apple juice is 0.01915
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of selecting three cans of apple juice = (number of apple cans / total number of cans) x {(number of apple cans / total number of cans) -1 }x {(number of apple cans / total number of cans) -1}]
total number of cans = 8 + 6 + 7 + 6 = 27
The probability of selecting three cans of apple juice = (8/27 x 7/26 x 6/25 = 0.01915
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Find a sum of -3x and 8x
Answer: 5x
Step-by-step explanation:
If -3x is a negative and 8x is a positive, its the same as subtracting 3x from 8x, which equals 5x.
Answer:
[tex]5x[/tex]
Step-by-step explanation:
Using the distributive property which states that [tex]A(B+C) = AB + AC[/tex], the equation [tex]-3x + 8x[/tex] can be rewritten as [tex]x(-3+8)[/tex]. From here, we can evaluate the expression inside of the parentheses: [tex]-3 + 8 = 5[/tex], and then we can plug the simplified value inside of the parentheses back into the original expression: [tex]x(5)[/tex]. This can be rewritten as [tex]5x[/tex].
This process is known as combining like terms.
Here are the above steps listed out rather than in paragraph form:
[tex]-3x + 8x[/tex]
↓ undistribute [tex]x[/tex]
[tex]x(-3 + 8)[/tex]
↓ evaluate the value inside the parentheses
[tex]-3 + 8 = 8 - 3 = 5[/tex]
↓ plug that value back into the expression
[tex]x(5)[/tex]
↓ rewrite with the constant before the variable
[tex]5x[/tex]
What is the area of a triangle whose sides are 7 cm 24 cm and 25 cm?
Answer:
What is a area of a triangle ?Greek mathematician Heron of Alexandria was the first to determine the area of a triangle with three sides. Instead of using the triangle's side lengths, he provided a method that could compute a triangle's area without the need to measure any angles or other distances.
Let ABC be a triangle with lengths AB = c, BC = a, and CA = b for each of its three sides.
Triangle ABC's semi-perimeter is equal to s = (a + b + c)/2.
When the lengths of a triangle's three sides are known, the area of the triangle may be calculated using Heron's formula. To use this method, we must first determine the triangle's perimeter, which is the total distance around the triangle and is determined by summing the lengths of its three sides. There are two crucial phases in Heron's formula.
Add up the lengths of the triangle's three sides and divide the sum by two to determine its semi perimeter (half perimeter). In the primary formula known as "Heron's Formula," enter the triangle's semi-perimeter value.The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm
By using Heron's formula
area = [tex]\sqrt{28(28-25)(28-24)(28-7)} = 84 \ cm \x^{2}[/tex]
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The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm
By using Heron's formula
area = [tex]\sqrt{28(28-25)(26-24)(28-7)}= 84\ cm^2[/tex]
What is a area of a triangle ?Greek mathematician Heron of Alexandria was the first to determine the area of a triangle with three sides. Instead of using the triangle's side lengths, he provided a method that could compute a triangle's area without the need to measure any angles or other distances.
Let ABC be a triangle with lengths AB = c, BC = a, and CA = b for each of its three sides.
Triangle ABC's semi-perimeter is equal to s = (a + b + c)/2.
When the lengths of a triangle's three sides are known, the area of the triangle may be calculated using Heron's formula. To use this method, we must first determine the triangle's perimeter, which is the total distance around the triangle and is determined by summing the lengths of its three sides. There are two crucial phases in Heron's formula.
Add up the lengths of the triangle's three sides and divide the sum by two to determine its semi perimeter (half perimeter).
In the primary formula known as "Heron's Formula," enter the triangle's semi-perimeter value.
The semi perimeter of the triangle = 7 + 25 + 24 = 28 cm
By using Heron's formula
area = [tex]\sqrt{28(28-25)(26-24)(28-7)}= 84\ cm^2[/tex]
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) Select the inequality that the number line represents. Use x as the variable.
The number line represents an inequality. The inequality is x ≤ 1.
What is a number line?
A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.
If a number line contains a close circle, then the number includes in the inequality.
If a number line contains an open circle, then the number does not include in the inequality.
In the graph, there is a close circle on 1.
The line represents all real numbers less than 1.
Since there is a close circle on 1, thus 1 include in the inequality.
The given variable is x.
The graph represents all real numbers less than or equal to 1.
The inequality is x ≤ 1.
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Function
1
11 i defined by the equation
y
=
−
7
3
x
−
1
y=−
3
7
x−1y, equal, minu, tart fraction, 7, divided by, 3, end fraction, x, minu, 1. Function
2
22 i defined by the following table. X
xx
y
yy
0
00
−
2
−2minu, 2
3
33
−
8
−8minu, 8
7
77
−
16
−16minu, 16
11
1111
−
24
−24minu, 24
Which function ha a more negative lope?
Chooe 1 anwer:
Chooe 1 anwer:
(Choice A)
A
Function
1
11
(Choice B)
B
Function
2
22
(Choice C)
C
The function have the ame lope. Stuck
The y-intercept of a function is the value of y = -9 when x = 0. Therefore, the functions have the same y-intercept.
How to find y-intercept?
A function's y-intercept is the value of y at x = 0. It is, in other words, the location of the graph's intersection with the y-axis.
the point on a line, curve, or surface where the y-axis touches that point.
Therefore,
Function 1:
r = 5 / 8 t - 9
r = 5 / 8 (0) - 9
r = -9
hence, the y-intercept is -9
Function 2:
when t = 0, r = -9
Hence, the value of y-intercept is -9
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Answer:
Pretty sure its function 1
Step-by-step explanation:
Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
middle element of 50th row is 2451
middle element of [tex]n^{th}[/tex] row is [tex]\frac{n^{2}+(n-1)^{2} +1 }{2}[/tex]
1st row → 1 ⇒ [tex]1^{2}[/tex]
2nd row → 2 3 4 ⇒[tex]2^{2}[/tex]
3rd row → 5 6 7 8 9 ⇒[tex]3^{2}[/tex]
4th row → 10 11 12 13 14 15 16 ⇒[tex]4^{2}[/tex]
5th row → 17 18 19 20 21 22 23 24 25 ⇒[tex]5^{2}[/tex]
6th row → 26 27 28 29 30 31 32 33 34 35 36 ⇒[tex]6^{2}[/tex]
from the above pattern we get,last element of " [tex]n^{th}[/tex]-row " is nothing but [tex]n^{2}[/tex]
now,middle element of 2nd row =3 ⇒ [tex]\frac{2^{2} +1^{2} +1}{2}[/tex]
middle element of 3rd row =7 ⇒ [tex]\frac{3^{2} +2^{2}+1 }{2}[/tex]
middle element of 4th row = 13 ⇒[tex]\frac{4^{2} +3^{2} +1}{2}[/tex]
middle element of 5th row = 21 ⇒ [tex]\frac{5^{2} +4^{2} +1}{2}[/tex]
middle element of 6th row = 31 ⇒[tex]\frac{6^{2} +5^{2}+1 }{2}[/tex]
.
.
.
middle element of 50th row = [tex]\frac{50^{2} +49^{2} +1}{2}[/tex] = 2451
middle element of [tex]n^{th}[/tex] row = [tex]\frac{n^{2}+(n-1)^{2} +1 }{2}[/tex]
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Question:
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36
Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
Determine if the triangles are similar
1. yes by AA
2. yes by SAS
3. yes by SSS
4. no not similar
Answer:
4. no not similar
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
Find angle U
180 - 42 - 62 = 76°
Find interior angle s
62° because it's an opposite angle
Find angle R
180 - 78 - 76 = 40°
no, the triangles are not similar, angles are different, so answer n° 4
URGENT! PLEASE HELP!
Three vertices of a trapezoid are given by (3,-6), (3,-2), and (6,-8). Find the fourth vertex such that the trapezoid is an isosceles trapezoid.
Answer:
(6, 0)
Step-by-step explanation:
What does an r value of 0.4 mean?
Very weak - or no association. -0.2 to – 0.4. Weak - association. -0.4 to -0.6. Moderate - association.
What Is a Correlation Coefficient?
A variable's movement in relation to another is described by the correlation coefficient. A score of 1 indicates a perfect positive correlation, with a positive correlation being one where both variables move in the same direction.
While 0 indicates there is no linear correlation, a number of -1 indicates a complete negative correlation.
What statistical purposes does the correlation coefficient serve?
In conclusion, correlation coefficients are used to evaluate the strength and direction of linear correlations between two sets of variables. When both variables have a normal distribution, use Pearson's correlation coefficient; otherwise, use Spearman's correlation coefficient.
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Nine students were asked how many miles they live from school. Their answers are listed below.1,1,6,5,1,5,1,1,8
The mode of the data is 1. The range of the data is 7.
What is the mean of a data set?
A data set is a grouping of data. A data set refers to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row corresponds to a specific record of the data set in question.
Given data set is 1,1,6,5,1,5,1,1,8.
The element of a set whose frequency is highest is known the mode of the data set.
The frequency of 1 is 5.
The frequency of 5 is 2.
The frequency of 6 is 1.
The frequency of 8 is 1.
The mode of the data is 1.
The difference of the highest value and lowest value of the data set is the range of the data.
The highest value is 8 and the lowest value is 1. The difference between them is 8 - 1 = 7.
The range of the data is 7.
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The range of the given data is 7 and the mode is 1.
What is mode?In statistics, modes are values that occur repeatedly in a particular set. Values or numbers in a data set that occur frequently or more frequently are sometimes called modal or modal values. This is one of three measures of central tendency, along with mean and median. A mode is the value that occurs most frequently in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes the maximum value. That is, the values that are most likely to be sampled. The most common number, the number that occurs most frequently. example: The mode of {4 , 2, 4, 3, 2, 2} is 2. This is because it happens 3 times. This happens more often than any other number.To learn more about mode from the given link:
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Explanation:
Range = The highest value - the lowest value
Mode = the value that appeared the most.
Question:
Nine students were asked how many miles they live from school. Their answers are listed below.
1,1,6,5,1,5,1,1,8
Find the range and the mode for the data.
Ahmaud rented a truck for one day there was a base fee of $19.95 and there was an additional charge of $.84 for each mile driven he had to pay $228.27 when he returned the truck how many miles did he have to drive?
There are 248 miles he have to drive.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ahmadu rented a truck for one day there was a base fee of $19.95.
And, There was an additional charge of $.84 for each mile driven he had to pay $228.27 when he returned the truck.
Let number of miles he have to drive = x
So, We can formulate;
⇒ $19.95 + $0.84x = $228.27
⇒ 19.95 + 0.84x = 228.27
⇒ 0.84x = 228.27 - 19.95
⇒ 0.84x = 208.32
⇒ x = 208.32 / 0.84
⇒ x = 248 miles
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Solve the following:-
[tex]\sf 2 +a =7[/tex]
Answer:
[tex] \sf \: a = 5[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of a.
The equation is,
→ 2 + a = 7
Then the value of a will be,
→ 2 + a = 7
→ a + 2 = 7
→ a = 7 - 2
→ [ a = 5 ]
Hence, the value of a is 5.
2y - 8 = 6x
y = 3x + 2
need solution please help need this to study
Answer:
Step-by-step explanation:it is 38
Answer:
No solution.
Step-by-step explanation:
2y-8=6x
y=3x+2
-----------
2(3x+2)-8=6x
6x+4-8=6x
6x-4=6x
6x-6x=4
0=4
One day, Jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work. Which function shows how much Jasmine earns (c) for working (h) hours?
The function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, One day, Jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work.
Here, the coordinate points are (6, 25.20) and (4, 16.80)
Now, slope m=(16.80-25.20)/(4-6)
m= -8.4/(-2)
= 4.2
Jasmine earns (c) for working (h) hours
Let c=y and x=h
Substitute (x₀, y₀)=(6, 25.20)
(y-y₀)=m(x-x₀)
c-25.20=4.2(h-6)
c-25.20=4.2h-25.2
c-4.2h=0
Therefore, the function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.
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0.6x-12.3=7.4-1.9x find x
Answer:
Solution for 0.6x-12.3=7.4-1.9x equation: Simplifying
0.6x + -12.3 = 7.4 + -1.9x
Reorder the terms:
-12.3 + 0.6x = 7.4 + -1.9x
Solving
-12.3 + 0.6x = 7.4 + -1.9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.9x' to each side of the equation.
-12.3 + 0.6x + 1.9x = 7.4 + -1.9x + 1.9x
Combine like terms: 0.6x + 1.9x = 2.5x
-12.3 + 2.5x = 7.4 + -1.9x + 1.9x
Combine like terms: -1.9x + 1.9x = 0.0
-12.3 + 2.5x = 7.4 + 0.0
-12.3 + 2.5x = 7.4
Add '12.3' to each side of the equation.
-12.3 + 12.3 + 2.5x = 7.4 + 12.3
Combine like terms: -12.3 + 12.3 = 0.0
0.0 + 2.5x = 7.4 + 12.3
2.5x = 7.4 + 12.3
Combine like terms: 7.4 + 12.3 = 19.7
2.5x = 19.7
Divide each side by '2.5'.
x = 7.88
Simplifying
x = 7.88
Step-by-step explanation:
pls mark as brainliest
Answer:
x = 7.88
Step-by-step explanation:
0.6x -12.3 = 7.4 -1.9x
2.5x -12.3 = 7.4
2.5x = 19.7
x = 7.88
Condsider the inequality 13 < X
Determine whether each value of x makes
the inequality true.
Yes No
-6
7
14
-21
Answer:
1. No
2. No
3. Yes
4. No
Step-by-step explanation:
1. Because -6 is not higher than 13
2. 7 is not higher than 13
3. 14 is higher than 13
4. -21 is not higher than 13 it is a negative number
What is a line of latitude Class 6 short answer?
latitude are lines from east to west
when we looks at the line from equator it appears that the line are from east to west or either way round and longitude are the lines which are from north to south
we are defining another concept of equator above equator is northern hemisphere and lower part is southern hemisphere
which are filled by water most of the parts of Earth but in the northern part on the top polar caps are available because of the cold whether of northern hemisphere of the Earth
this is a simple definition but if we go into deeply there is another concept emerges of degrees or location and time management
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5
Uncle Drew scored 28 points in 5 minutes during a game of basketball.
5
How many points did he average per minute during that 5 minutes?
Answer:
I think its 5.6
Step-by-step explanation:
Well I divided 28 by 5 and got 5.6.
Use a trigonometric ratio to solve for z. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
According to the response to the question, the trigonometric ratios will be tan Y = 8/15, tan X = 15/8, and sin Y = 8/17.
What Are Trigonometric Ratios?Trigonometric functions, which are real functions, are used in mathematics to connect the angle of a right - angled triangle to the proportion of the lengths of its two sides. They are widely utilized in a variety of fields connected to geometry, including celestial mechanics, solid mechanics, and geodesy. Trigonometric ratios are all trigonometric values based on the values of the right triangle's aspect ratio. The trigonometric ratio of the opposite sides of a right triangle reduced by any extreme angle is one.
Here,
Because X is actually 8/17,
the right response to this question is not X.
TanX = 15/8 = Opp
Sin x = 8/17 is accurate.
Incorrect cos Y = 8/17.
tan X = 8/15 is a valid assertion.
Sin x = 15/8
Cos Y = 8/17
According to the response to the question, the trigonometry proportions will be tan Y = 8/15, tan X = 15/8, and sin Y = 8/17.
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An account earned 5.4% interest compounded continuously. After 12 years the balance was
$1,433,785.18. What was the principal amount?
$762,775.54
O $748,999
$750,000
Answer:
To find the principal amount, you can use the formula for continuously compounded interest:
A = Pe^(rt)
where A is the final account balance, P is the initial principal (or starting) amount, r is the interest rate, and t is the time (in years) for which the interest is being calculated.
Substituting in the given values:
1,433,785.18 = P * e^(0.054 * 12)
To find P, we can divide both sides by e^(0.054 * 12)
P = 1,433,785.18 / e^(0.054 * 12)
The ratio of boys to girls in a classroom is 3:5. If there are 80 students in a class, how many of them are girls
The classroom has 50 girls. The solution was achieved by adding the ratio values (3+5) to get the total parts, dividing the total students by this value to find the value of each part, and then multiplying this by the number of parts for girls.
Explanation:The subject of this question is a problem in Mathematics that deals with ratios and proportions. Specifically, the ratio of boys to girls in a classroom of students. The ratio given is 3:5, which means for every 3 boys, there are 5 girls. In a classroom with 80 students, we first need to calculate the total parts of this ratio by adding 3 (boys) and 5 (girls), which gives us a total of 8 parts. Having done that, we can now determine the value of a single part by dividing the total number of students (80) by the total parts (8). This gives us 10 students per part. To find out the number of girls, we multiply the number of parts for girls (5) by the number of students per part we computed (10), which equals 50. Therefore, in this classroom, there are 50 girls.
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How do you graph and write function rules from piecewise defined functions?
A piecewise defined function is a function that is defined by different rules for different parts of its domain.
To graph a piecewise defined function, we must first identify the different pieces of the domain and the corresponding function rules for each piece.
(1) Identify the different pieces of the domain: Each piece of the domain is defined by an inequality or an equation that separates it from the other pieces.
(2) Write the function rule for each piece: For each piece of the domain, write the equation that defines the function.
(3) Graph the function: For each piece of the domain, graph the corresponding equation by plotting points and connecting them with a line. Be sure to use different colors or styles for the different pieces of the graph to make it clear where each piece starts and ends.
(4) Label the different parts of the graph: Label each part of the graph with the corresponding inequality or equation that defines it.
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Use the graph below to fill in the blank with the correct number:
f(0) = _______
The function's value at x = 0, y = 4 Or f(0) = 4.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
The x-coordinate represents the input and the y-coordinate represents the output.
From the given points in the graph, we can conclude that when x = 0, y = 4.
Therefore, The value of the function f(0) = 4.
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