What is the equation of the line that is perpendicular to the line x=2 and
goes through the point (1,-3)? *
Step-by-step explanation:
P(x,y)=(1,-3)
line is perpendicular to x=2 which shows that line is parallel to x-axis.
angle=0°
m=tan(angle)
m=tan0°
m=0
By using point slope form:
y+3=0(x-1)
y+3=0
Note:if you need to ask any question please let me know.Given the following historical data and weights of 0.5, 0.3, and 0.2, what is the three-period weighted moving average forecast for period 5? reriodValue 1 142 146 144 148 4 A. 145.80 B. 146.40 C. 145.00 D. 146.00 E. 148.00
The three-period weighted moving average forecast for period 5 is option (B) 146.4.
In forecasting, the weighted moving average method is commonly used to estimate future values by giving more weight to the recent observations than the older ones.
To calculate the three-period weighted moving average, we need to apply the given weights of 0.5, 0.3, and 0.2 to the last three periods' data. The formula for calculating the weighted moving average is:
Weighted Moving Average = (w₁Y₁) + (w₂Y₂) + (w₃*Y₃)
where w₁, w₂, and w₃ are the weights assigned to the most recent period, second most recent period, and third most recent period, respectively. Y₁, Y₂, and Y₃ are the corresponding values of the periods.
Applying this formula to the given data, we get:
Weighted Moving Average = (0.5148) + (0.3144) + (0.2*146)
= 74 + 43.2 + 29.2
= 146.4
Therefore, the correct option is (B).
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Use
x
for your variable
The sum of a number increased by nine and the number decreased by two.
The answer is \((x+9)+(x-2)\) .
A variable is a symbol used to represent a number in an expression or equation. The value of this number is subject to change. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.We have given two statements one is " number increased by nine "
Let the number be x .
Mathematically , first statement is represented by
x + 9
Second statement is " number decreased by two "
Mathematically , second statement is represented by
x - 2
According to the question
Sum of first and second statement = \((x+9)+(x-2)\)
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The length of a rectangle is 6 meters more than three times the width. The perimeter of the rectangle is 44 meters. What are the dimensions of the rectangle?
Answer:
width=4
length=18
Step-by-step explanation:
length-6=3width
length=3width+6
also:
perimeter of the rectangle=2(length+width)
44/2=width+length
22=width+length
now put the length we found in the 1st equation, in 22=width+length
=>22=width+3width+6
22-6=4width
width=4
now do the exact same thing with one of these equations:
22=width+length
length=3width+6
I'd do it with the 1st one:
22=4+length
22-4= length
length=18
PLEASE AM N MDDLE SCHOOL!
Can you help me with number 20? Thank you I am having trouble with it.
20)
Given two sides of a triangle and the angle corresponding the the third side, the formula for calculating the area is
Area = 1/2 x product of the two sides x Sine of the given angle
From the information given,
Area = D
angle = C
the other sides are a and b
By applying the formula, we have
D = 1/2 x a x b x Sin C
D = 1/2 x abSinC
By multiplying both sides of the equation by 2,
d * 2 = 2 * 1/2 * abSinC
2D = abSinC
Dividing both sides of the equation by ab, we have
2D/ab = abSinC/ab
2D/ab = Sin C
Taking the sin inverse of 2D/ab, we have
C = Sin^-1(2D/ab)
Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
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The length of Benson’s desk is 6 feet. Which of the following illustrations is drawn to a scale of 1 centimeter = 3 feet?
Answer: 2 cm
Step-by-step explanation:
2 x 3 = 6
PLZ HELP ME YOU GUYS ARE MY ONLY HOPE!!! I WILL GIVE BRAINLIEST PLZ ANSWER<3
2a+3c=5a+2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
Answer:
a = 9, c = -4?
Step-by-step explanation:
i think these are the two equations, let me know if i'm wrong
2a + 3c = 5; a + 2c = 1
rearrange second equation : a = -2c +1
plug in:
2(-2c +1) +3c = 5
-4c +1 +3c = 5
-c +1 = 5
-c = 4
c = -4
a + 2(-4) = 1
a - 8 = 1
a = 9
3y=4x+7
-4x-4y=28
Solve the system of equations
1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°
Answer:
D. 50º
Step-by-step explanation:
According to the image below attached, blue lines represents line segments \(DB\) and \(DB'\), the red line creates a right angle regarding \(DB\) (90º), where green line creates a flat angle with the same respect (180º). The angle between \(DB\) and \(DB'\) is less than 90º and 180º, meaning an acute angle. Therefore, the right answer is D.
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
find the value of a and b if a+3=b , -2=a
Answer:
a = -2
b = 1
Step-by-step explanation:
a + 3 = b
when a = -2
-2 + 3 = b
1 = b
therefore
a = -2
b = 1
Enrollment in a summer program offered by the Parks and Recreation Department increased from 87 in 2018 to 126 in 2019. What was the percent increase in enrollment? Round to the nearest whole number.
To calculate the percentage increase, we shall observe the following steps
Step 1: get the initial and final values for the enrollment
Initial value = 87
Final value = 126
Step 2: Use the formula below
\(\text{percentage increase =}\frac{f\text{ inal -initial}}{i\text{ nitial}}\text{ x 100\%}\)
Step 3: Substitute the value
\(\begin{gathered} \frac{126\text{ - 87}}{87}\text{ X 100\%} \\ \\ \Rightarrow\text{ }\frac{39}{87}\text{ x 100 \%} \\ \Rightarrow0.4483\text{ x 100\%} \\ \Rightarrow44.83\text{ \%} \end{gathered}\)To round up the answer to the nearest whole number = 45%
The percentage increase is 45%
I NEED HELP ASAP!! Sam counted 14 blinks in 22 seconds. How many times does Sam blink in a day if we assume he sleeps for eight hours.
Answer:
36654.52
Step-by-step explanation:
The ratio is 14-22
now before we do anything with the ratio, there are 24 hours in a day.
he sleeps for 8 hours so, 24-8= 16. 16 hours he's up.
Every hour is 60 minutes, every minute is 60 seconds. 60x60=3600.
so, 3600 seconds per hour.
3600x16= 57600 seconds per 16 hours.
Now back to the ratio, 14-22. 57600/22= 2618.18
2618.18x14= 36654.52.
He blinks 36654 in the day (if decimals don't count)
I hope this helps and isn't confusing/incorrect.
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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Point X is the centroid of triangle ABC. If CW = 15 feet, find the length of CX
The length of WX formed by the centroid is 5 unit.
What is centroid of Triangle?The centre of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Given:
CW = 15 feet
X is the centroid of triangle ABC
As, centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
So, WX = 1/3 (CW)
WX = 1/3 (15)
WX = 5 unit
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The question attached here is seems to be incomplete, the complete question is attached below.
If 500’ roll of wire costs 18.44 what I’d the first of wire per foot
Answer:
27.1149675 feet (27 feet 1⅜ inch)
Step-by-step explanation:
i think
Help. Your backyard is 10 feet longer than it is wide. Its area is 8624 square feet. Its width is Solve in quadratic equation.
Would you say 88in by 98in is correct?
Which graph represents a function?
There will be 6 people at Eli's cake party. You want to bake enough cake so that each person you feed will eat at least 1/5 of the cake. What is the minimum number of cakes to bake?
Please put the procedure with operations used. :(
Answer: 2 cakes.
Step-by-step explanation:
There will be a total number of 6 people at Eli's cake party.
You want that each one of these 6 people to eat at least 1/5 of a cake.
Then you need to make, at least, 6 times 1/5 of a cake.
This is equal to:
6*(1/5) of a cake = 6/5 of a cake.
And we can rewrite this as:
(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.
But you can not bake only 1/5 of a cake, we need whole numbers.
Then we need to round up to the next whole number, which is 2.
This means that you need to bake at least 2 cakes.
Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
Answer:
6
Step-by-step explanation:
6 times 5 is 30. You would've divided 30 by 5
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Identify the domain of the function.
A)
[0,5)
B)
(0,5)
[-4,4)
D)
(-4, 4]
Answer:
Step-by-step explanation:A
What is the answer.to
84.637 -28.56 =
Answer:56.077
Step-by-step explanation:
Answer: The answer is 56.077
Write a paragraph proof of the Triangle Proportionality Theorem.
(Theorem 8.6)
__ __
Given: BD || AE
Prove: BA/CB = DE/CD
The Triangle Proportionality Theorem, also known as the Side Splitter Theorem, states that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.
Triangle Proportionality Theorem:
To prove this theorem, we begin by drawing a ΔABC with a line DE parallel to side AB. We then draw lines BD and CE, which intersect the parallel line DE at points F and G, respectively. By the properties of parallel lines, we know that ∠ADE and ∠ABD are congruent, and ∠AED and ∠ADB are congruent. Similarly, ∠CDE and ∠BDC are congruent, and ∠CED and ∠DCB are congruent.
We can then use the properties of similar triangles to show that ΔADE and ΔABC are similar, as are ΔCDE and ΔACB. This means that the ratios of corresponding side lengths are equal:
BA/DE = CA/CE and CB/DE = AB/BD
We can then substitute CA - BA for CB in the first equation, and BD for AB in the second equation:
BA/DE = (CA - BA)/CE and CB/DE = BD/(CA - BA)
Cross-multiplying both equations, we obtain:
BA * CE = DE * (CA - BA) and CB * DE = BD * (CA - BA)
Adding the two equations, we get:
BA * CE + CB * DE = (DE + CE) * CA
Dividing both sides by CB * DE, we obtain:
BA/CB = (DE + CE)/CE * CA/DE = DE/CD
Thus, we have proven the Triangle Proportionality Theorem.
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During the summer, Abrielle is a cashier at a grocery store and Zane serves ice cream. To show their earnings, Abrielle makes a graph and Zane makes a table. Which statement is true?
Answer:
The slope of Zane is 18.50/2 = 9.25
Subtract both slopes to find the true statement.
10.5 - 9.25 = 1.25
The correct statement is:
Abrielle earns $1.25 more than Zane.
Answer:
what the person on the top said. Their right.
Leo has 2 5/8 ounces of sunblock.
He uses one third of an ounce at
the beach. How much does he
have left?
Answer:
2 7/24
Step-by-step explanation:
Answer:
Step-by-step explanation: 6
Please help me write a summary of the 3 rules on segments
1) When 2 chords intersect inside a circle, and 4 segments are formed
2) When 2 secants intersect outside a circle, and 4 segments are formed
3) When 1 secant and 1 tangent intersect outside a circle, and 3 segments are formed
1. The rule states that the product of the lengths of the two segments of one chord equals the product of the lengths of the two segments of the other chord (i.e., (a1 x a2) = (b1 x b2), where a1 and a2 are segments of chord A, and b1 and b2 are segments of chord B).
2. The rule states that the product of the length of the external segment of one secant and the length of the entire secant equals the product of the length of the external segment of the other secant and the length of the entire secant (i.e., (e1 (e1 + i1)) = (e2 (e2 + i2)), where e1 and e2 are the external segments and i1 and i2 are the internal segments).
3. The rule states that the square of the length of the tangent segment equals the product of the length of the external segment of the secant and the length of the entire secant (i.e., t^2 = e * (e + i), where t is the length of the tangent segment, e is the external segment, and i is the internal segment).
what are the 3 rules on segments all about?The three rules of segments are:
A segment is a part of a line that consists of two endpoints and all the points between them.Two segments are congruent if they have the same length.A segment bisector is a line, segment, or ray that divides a segment into two equal parts, creating two congruent segments.Find more exercises on rules of segments;
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a triangle has side lengths measuring 3x cm 7x cm and h cm
Given that the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths, the necessary expression will be "4x cm h 10x cm."
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. A mixture of numbers, variables, and functions is called an expression (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases. A mathematical statement using just numbers and one or more operation symbols is known as a numerical expression. Here,
The third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths,
(h>7x - 3x) and (h<7x + 3x)
(7x - 3x) cm < h < (7x+ 3x) cm
4x cm < h < 10x cm
The required expression will be "4x cm< h< 10x cm" as the third side of the triangle is shorter than the sum of the other two sides' lengths and longer than the difference between the other two sides' lengths.
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