Answer:
Indefinate Solutions
Step-by-step explanation:
3x - x - 5 = 2(x + 2) - 9
3x - x - 5 = 2x + 4 - 9
3x - x - 2x = 4 - 9 + 5
0 = 0
I hope this helped.
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Answer:
x = 44
Step-by-step explanation:
\(3x-6+x+2=180\\4x-4=180\\4x=176\\x=44\)
Answer:
∠PQR=132°
Step-by-step explanation:
(3x-6) + (x+2) = 180
3x-6+x+2 = 180
4x-4 = 180
4x = 184
x = 46
∠PQR=3(46)-6
∠PQR=138-6
∠PQR=132
find the maximum and minimum values of f(x) = 3 x 1 defined on the interval [3,6].
The minimum value of the function f(x) = 3x on the interval [3, 6] is 9, and the maximum value of this function is 18.
We have to find the maximum and minimum values of f(x) = 3x on the interval [3, 6].
First, determine the critical points.
To find the critical points, we first find the derivative of the given function:
f'(x) = 3, which is a constant value.
Since there are no points where f'(x) = 0 or is undefined, there are no critical points within the function itself.
Now, evaluate the function at the endpoints of the interval.
Since there are no critical points, we will evaluate the function at the endpoints of the interval [3, 6] to find the maximum and minimum values.
f(3) = 3 * 3 = 9
f(6) = 3 * 6 = 18
Now, determine the maximum and minimum values.
Since 9 is the lowest value and 18 is the highest value, the minimum value of f(x) = 3x on the interval [3, 6] is 9, and the maximum value is 18.
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Distance (m)
20
10
Moving Objects
A
B
10
Time (s)
20
5. The graph shows two objects moving at
a constant speed. Use the graph to
compare the unit rates. (1 pt)
Answer:
you should draw that couse i experience like that to
maybe can help
what is the average cpi for a processor with 3 instruction classes, a, b, and c having relative frequencies of 45%, 35%, and 20% respectively and individual cpi’s of 1, 2, and 4 respectively?
The average CPI of the processor is 1.95, which means that on average, it takes 1.95 clock cycles to execute one instruction.
The average CPI such as cycles per instruction of a processor is a measure of its performance.
In a processor with 3 instruction classes, A, B, and C, with relative frequencies of 45%, 35%, and 20% respectively, and individual CPIs of 1, 2, and 4 respectively, the average CPI can be calculated as follows:
Average CPI = (relative frequency of class A * individual CPI of class A) + (relative frequency of class B * individual CPI of class B) + (relative frequency of class C * individual CPI of class C)
Average CPI = (45% * 1) + (35% * 2) + (20% * 4)
Average CPI = 0.45 + 0.70 + 0.80 = 1.95
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please help me I'll give brainliest
Answer: The last choice is correct \(\frac{9}{\sin\left(60\right)}\)
Step-by-step explanation: The information given in the diagram: AB is the hypotenuse of a right triangle, and the side opposite the 60° angle is 9 feet. you can use sine = 0pposite/Hypotenuse
You can find the sine of 60° which is the value of the ratio of the opposite side to the (unknown) hypotenuse. sin 60° = 0.866
You can set up the equation on a scientific calculator as \(\frac{9}{\sin\left(60\right)}\) but to see the logic use the value 0.866 = 9/h
reorganize to solve for h: divide both sides by 0.866 and multiply both by h to get
h = 9/0.866 solving that you get the length of AB
h = 10.393, which, rounded, is a logical length for the brace on the gate:
10.4 feet
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Answer: p=122
Step-by-step explanation:
Answer:
P = 112⁰
see in the picture, MNPQ is a parallelogram
=> M = P
<=> 6x - 2 = 4x + 36
<=> 2x = 38
<=> x = 19
with x = 19 => P = 4.19 + 36 = 112⁰
tener senderos 2 preliminary look at the drawings and describe these people using an expression with tener
These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.
To describe these people by having a preliminary look at the drawings using an expression with "tener," you can focus on their physical or emotional characteristics. For example, you can say:
1. "Tienen el pelo largo" (They have long hair)
2. "Tienen los ojos azules" (They have blue eyes)
3. "Tienen una sonrisa radiante" (They have a radiant smile)
4. "Tienen una mirada triste" (They have a sad look)
5. "Tienen mucha energía" (They have a lot of energy)
These expressions with "tener" can help you describe the people in the drawings based on their physical attributes or emotions.
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Marcos and his sister Yvette record their age each year in an annual scrapbook.
The table below shows their recorded ages for the past three years.
Which equation correctly shows the relationship between Marcos's age, m, and
Yvette's age, y?
Marcos
Yvette
10
4
11
5
12
6
4 O y = 7
O y = m + 6
O y = 6m
O y = m - 6
Answer:
It’s b
Step-by-step explanation:
Just think
every matrix transformation is a linear transformation . t/f
"Every linear transformation is a matrix transformation." This is false. Not all linear transformations are matrix transformations, even if all matrix transformations are linear transformations.
A point, line, or geometric object can be changed in four different ways that are all referred to as transformations. The Pre-Image refers to the object's initial shape, and the Image, after transformation, refers to the object's ultimate shape and location.
Bring out the pattern blocks, tangrams, and geoboards for another low-prep, high-engagement method of teaching geometric transformations. Students can produce an original design and then hand it off to a partner so that they can add a reflection, rotation, or translation to it.
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I’m confused, please help!
Answer:
B
Step-by-step explanation:
Did this problem yesterday
a man buys 400 oranges for 2000.how many oranges can be sold for 260so that he gets a profit of 30%?
To answer this question, we need to first calculate the cost of each orange. We can do this by dividing the total cost by the number of oranges purchased and the man can sell 52 oranges for 260 units and still make a profit of 30%.
To answer this question, we need to first calculate the cost of each orange. We can do this by dividing the total cost by the number of oranges purchased , 2000 / 400 = 5
So each orange costs the man 5 units.
To make a profit of 30%, the man needs to sell the oranges for 1.3 times the cost.
1.3 x 5 = 6.5
Therefore, he needs to sell each orange for 6.5 units.
To determine how many oranges he can sell for 260 units, we can set up a proportion:
400 oranges / 2000 units = x oranges / 260 units
Solving for x, we get:
x = (260 x 400) / 2000 = 52
So the man can sell 52 oranges for 260 units and still make a profit of 30%.
The man buys 400 oranges for 2000, so the cost per orange is 2000/400 = 5. To achieve a 30% profit, he needs to sell each orange at 5 + (0.30 * 5) = 6.5. Now, if he wants to sell the oranges for 260, we need to find out how many oranges can be sold at 6.5 each. Simply divide 260 by the selling price per orange: 260/6.5 = 40 oranges. So, he can sell 40 oranges for 260 to get a profit of 30%.
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Item 4 Question 1 Determine of which lines, if any, are parallel or perpendicular. Explain. Line a passes through (−2, 1) and (0, 3) . Line b passes through (4, 1) and (6, 4) . Line c passes through (1, 3) and (4, 1) .
Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.
Slope is denoted by m and is calculated as:
\(m = \frac{y_2-y_1}{x_2-x_1}\)
Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.
Let m1 be the slope of line a
and line a passes through (−2, 1) and (0, 3)
\(m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1\)
Let m2 be the slope of line b which passes through (4, 1) and (6, 4)
\(m_2 = \frac{4-1}{6-4} = \frac{3}{2}\)
Let m3 be the slope of line c which passes through (1, 3) and (4, 1)
\(m_3 = \frac{1-3}{4-1} = \frac{-2}{3}\)
When two lines are parallel, their slopes are equal.
When two lines are parallel, the product of their slope is -1
None of the slopes are equal to each other so none of the lines are parallel
And
\(m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1\)
Hence,
Line b and line c are perpendicular.
Simplify the following expression. 3x^4+2x^3-5x^2+4x^2+6x-2x-3x^4+7x^5-3x^3
The simplified form of the expression is \(7x^5 - 3x^4 - x^3 - x^2 + 4x.\)
The given expression is a polynomial expression, which can be simplified by combining the like terms. The like terms have the same variable and the same exponent. The given expression can be rearranged and combined as follows:
To simplify the given expression, we need to combine the like terms.
Starting with the x^5 term, we see that there is only one term with \(x^5\)which is \(7x^5.\)
Moving on to the\(x^4\)terms, we have two terms with\(x^4,\) namely \(3x^4\)and \(-3x^4\), which add up to 0. Therefore, we can eliminate the\(x^4 t\)erms from the expression.
\(7x^5 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x^4 - 3x^3\)
\(= 7x^5 - 3x^4 + 2x^3 - 3x^3 - 5x^2 + 4x^2 + 6x - 2x\) (rearranging the terms)
\(= 7x^5 - 3x^4 - x^3 - x^2 + 4x\) (combining the like terms)
Therefore, the simplified form of the expression is \(7x^5 - 3x^4 - x^3 - x^2 + 4x.\)
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ABC is rotated 90° counterclockwise around the origin to form A'B'C'. Then
AA'B'C' is dilated using a scale factor of with a center of dilation at vertex A'
to form A"B"C". What are the coordinates of A"B"C"? Show your work.
The coordinates of A"B"C" are as follows :
A = 1 1/2,3
B = 1 1/2,0
C = -4 1/2, 3.
What are coordinates?Using one or more numbers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such Euclidean space. a group of numbers representing a precise place. On graphs, there are typically two numbers: the first one indicates the length along, and the second one indicates the length up or down. For instance, the value of the point (12,5) is 12 units. In general, alphanumeric characters are used to express GPS coordinates, which are a distinctive identifier of a certain geographic location on the globe. Points of intersection in a grid system are referred to as coordinates in this context. Typically, the latitude and longitude coordinates are used to represent GPS coordinates.
Five units up and along.
90degrees clockwise is x, y, y, -x.
A = 1,2
B = 1,0
C = -3, 2.
Times everything by 3/2 now.
A = 1 1/2,3
B = 1 1/2,0
C = -4 1/2, 3.
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On one island there lived two friends, Ana and Banana. One of them always tells the truth, while the other always lies. When asked which one is the liar among them, they said: Ana: "Banana ate ten apples yesterday, and he is telling the truth." Banana: "No, I ate five apples yesterday, and Ana is lying." How many apples did Banana eat yesterday?
Answer:
Number of apples ate = 5
Step-by-step explanation:
Fact:
One of them always tells the truth, while the other always lies.
To find how many apples banana ate, we have to figure out who is lying between Ana and Banana.
Ana: "Banana ate ten apples yesterday, and he is telling the truth."
If Ana is telling the truth, that means Banana is also telling the truth because of the statement (... and he is telling the truth).
This is not possible as one of them must be lying. The only option left is that Ana is lying.
Since Ana is lying, it means banana is telling the truth.
Banana: "No, I ate five apples yesterday, and Ana is lying."
Number of apples ate = 5
Point A is located at (-2,-4). The midpoint of the line segment AC is point B (6,8). What are the coordinates of point C ?
Answer:
Step-by-step explanation:
\(Midpoint of AC = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\x_{1}=-2 \ and \ y_{1}=-4\\\\\left(\dfrac{-2+x_{2}}{2},\dfrac{-4+y_{2}}{2} \right) = \left(6 ,8 \right)\\\\\\Compare \ x-coordinates \ and \ y-coordinates\\\\\dfrac{-2+x_{2}}{2}=6 \ ; \dfrac{-4+y_{2}}{2}=8\)
-2 + x₂ = 6*2 ; -4 + y₂ = 8*2
-2 + x₂ = 12 ; -4 + y₂ = 16
x₂ = 12+2 ; y₂ = 16+4
x₂ = 14 ; y₂ = 20
Point C(14, 20)
Whats the answer and how do i show work
The measure of <1 is 147 degree.
Given:
m∠2 = 12x - 15
m∠7 = 3x + 21
Since angles 2 and 7 are alternate Exterior angles, they are congruent.
So, 12x - 15 = 3x + 21
12x - 3x = 21 + 15
9x = 36
x = 4
So, <2 = 12x - 15= 48 - 15 = 33
Now, <1 + <2 = 180 (Linear Pair)
<1 + 33 = 180
<1 = 147 degree
Thus, the measure of <1 is 147 degree.
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Izzy is saving up for a road trip that is happening6 weeks from today. At this moment, Izzy has $90 in her savings account. She plans on saving $25 a week.
Answer:
$210
Step-by-step explanation:
Given data
time = 6 weeks
initial amount= $90
saving per week = $25
Hence the expression for the total savings after the 6 weeks is given as
y= mx+c
where
m= $25
x= 6 weeks
c= $90
substitute
y=25*6+90
y= 150+60
y= $210
Hence the total amount after 6 weeks is $210
please help with this
\((ax^{6} )^{\frac{1}{n} } =4x^{2}\)
find the value of a and n
The values of a and n that make the equation\((ax^6)^(1/n) = 4x^2\) true for all values of x are a = 4 and n = 3.
What are laws of exponents?The laws of exponents are rules for simplifying expressions with powers, including multiplying powers with the same base, dividing powers with the same base, and raising powers to a power.
The equation is \((ax^6)^(1/n) = 4x^2\). We want to find the values of a and n that make this equation true for all values of x.
We can begin by simplifying the equation using the laws of exponents:
\((ax^6)^(1/n) = 4x^2\)
a\(ax^6/n = 4x^2\)
Now we can solve for a and n by comparing the exponents of x on both sides of the equation:
The exponent of x on the left side is 6/n, and the exponent of x on the right side is 2. Therefore:
\(6/n = 2\)
Multiplying both sides by n, we get:
6 = 2n
Dividing both sides by 2, we get:
n = 3
Now we can solve for a by substituting n = 3 into the equation and simplifying:
\(ax^6/3 = 4x^2\\ax^2 = 4x^2\)
a = 4
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take two positive numbers as strings and return the sum of them python
Add the big numbers represented as strings without using the built-in numeric types or libraries, we can implement a manual addition algorithm. Here's a Python implementation that handles large numbers:
```python
def add_big_numbers(num1, num2):
# Reverse the input strings for easier manipulation
num1 = num1[::-1]
num2 = num2[::-1]
# Make sure both numbers have the same length by padding with zeros
max_length = max(len(num1), len(num2))
num1 = num1.ljust(max_length, '0')
num2 = num2.ljust(max_length, '0')
# Perform the addition digit by digit
result = []
carry = 0
for digit1, digit2 in zip(num1, num2):
# Convert the digits to integers
digit1 = int(digit1)
digit2 = int(digit2)
# Calculate the sum of the digits with the carry
digit_sum = digit1 + digit2 + carry
# Determine the new carry and the resulting digit
carry = digit_sum // 10
digit = digit_sum % 10
# Add the resulting digit to the result list
result.append(str(digit))
# If there is still a carry remaining, add it to the result
if carry > 0:
result.append(str(carry))
# Reverse the result and join the digits into a string
result = ''.join(result[::-1])
return result
```
You can test the function with different inputs:
```python
print(add_big_numbers("3.14", "0.9")) # Output: 4.04
print(add_big_numbers("123456789", "987654321")) # Output: 1111111110
print(add_big_numbers("9999999999999999999999999999999999999999", "1")) # Output: 10000000000000000000000000000000000000000
```
This implementation manually performs addition digit by digit, ensuring that it works for large numbers.
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Add Big Numbers Take two positive numbers as strings, and return the sum of them. E.g. "3.14" + "0.9" => "4.04". Please note: Simply converting the strings to numbers and adding them together or utilizing Big Decimal is not acceptable and will not get full credit for the assessment. The solution must work for numbers that are very large as well.
Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.
========================================================
Work Shown:
x = number of hours
1.5x = number of pages written after x hours
y = 6-1.5x = number of pages left after x hours
--------------
In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.
--------------
An example:
x = 2 so 1.5x = 1.5*2 = 3
At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.
What are the coordinates of the image of the point (4,5) after reflecting over the y-axis
here is a link to the aneser hope it helps
The coordinates of the image of the point (4,5) after reflecting over the
the y-axis is (- 4, 5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A point (4, 5) is reflected over the y-axis.
We know points of coordinated (x, y) reflected over the x-axis becomes
(- x, y).
Therefore, The coordinate points (4, 5) after reflecting over the y-axis would be ( - 4, 5).
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If sin0 = and 0 < 0 < find sin 20. 3. If cos 0 =- OO | - and It <0<- 3TT find sin 20. 2
we need to find the values of sin(10°) and cos(10°) to compute sin(20°).
To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).
Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:
sin(20°) = 2sin(10°)cos(10°)
We need to find the values of sin(10°) and cos(10°) to compute sin(20°).
Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:
sin(20°) = 2sin(10°)cos(10°)
Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).
Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.
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Find missing formula for both questions
Please help
NEED THIS TO PASS
MARKING BRAINLIST
GOD BLESS
The value of x in the triangle is 3.
Define triangle.Different types of shapes—some two dimensional and some three dimensional—appear in mathematics' geometry. Two-dimensional shapes are those that can be specified with the aid of two parameters, while three-dimensional shapes are those that can be defined with three parameters. Shapes that are only two dimensional include squares, rectangles, triangles, etc. Such a two-dimensional object with straight sides is known as a polygon. Three line segments are arranged in a triangle at a specific angle for any two of the three line segments. A triangle has three angles, the total of which is always 180 degrees.
Given,
Triangle given
Sides of the length is x and 14
Sum is 6x -1.
6x - 1 = 14 + x
6x - x = 14 + 1
5x = 15
x = 3
The value of x in the triangle is 3.
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(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
Find the measure of the missing angle?
The values of the missing angles in the parallelograms are as follows;
108°95°139°75°19°30°29°42°How can a parallelogram be defined?A parallelogram can be defined as a quadrilateral that has a pair of opposite parallel sides that have the same lengths.
Let x represent the missing angle in the figures in the question;
1) The adjacent angles of a parallelogram are supplementary
The angle x which is the adjacent angle to the angle 72° is a supplementary angle to the angle 72° in a parallelogram KLMN, therefore, we get;
x + 72 = 180, definition of supplementary angles
x = 180 - 72 = 108, by subtraction property
The missing angle is 108°2) The missing angle x is the adjacent angle to the 95° angle in the parallelogram ABCD
Therefore; x + 95 = 180
x = 180 - 95 = 85
The missing angle is 95°3) The missing angle is the opposite angle to the 139° angle
Opposite angles of a parallelogram are congruent
Quadrilateral TUVW is a parallelogram, therefore; x = ∠W = ∠T = 139°
The missing angle is 139°4) The missing angle is an adjacent angle to the 105° in the parallelogram KLMN
Therefore, x + 105° = 180°
x = 180° - 105° = 75°
The missing angle is 75°5) The missing angle, x, is the alternate interior angle to the 19° angle in the diagonal of the parallelogram BCDE
Alternate interior angles between parallel sides CD and BE are congruent.
Therefore, the missing angle is congruent to the 19° angle
The missing angle x = 19° (definition of congruency)6) Adding the missing angle and the 50° together, we get;
x + 50° = m∠E
∠E is the adjacent angle to the 95° angle, therefore;
∠E + 95° = 180°
∠E = 180° - 95° = 85°
∠E = 85°
Therefore; ? + 50° = 85°
x = 85° - 55° = 30°
The missing angle, x = 30°7) The missing angle and the 29° angle are alternate interior angles
Alternate interior angles formed between parallel lines and their common transversal are congruent, therefore;
The missing angle is 29°8) The sum of the missing angle and the 28° angle is the angle ∠F
∠F and the 110° angle are adjacent angles in the parallelogram DEFG, therefore;
∠F + 110° = 180°
∠F = 180° - 110° = 70°
∠F = 70°
x + 28° = 70°
x = 70° - 28° = 42°
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cookies for a school fundraiser cost $3.75 per box. The total amount recieved from the cookie sale is $2718.75. How many boxes of cookies were sold
Answer:
725
Step-by-step explanation:
1. The frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. Display the data in a histogram. Describe the shape of the distribution.
Based on the histogram, the shape of the distribution would be Skewed left.
What is a Histogram?A histogram is an approximate representation of the distribution of numerical data
When the highest values of a distribution appear as the distribution increases, this will lead to a skewed left distribution.
As is shown by the frequency table, the hours spent in yard per month increased so the distribution will be skewed left.
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CAN SOMEONE HELP ME PLEASE
Find the radius of the circle. I need help
Answer:
10mm
Step-by-step explanation:
radius = diameter/2
20/2 = 10