Answer:
an=a+(n-1)d
part B is 1
Step-by-step explanation:
please mark me as brainlest
Answer:
See below ~
Step-by-step explanation:
Part (A) :
⇒ aₙ = aₙ₋₁ + 1/2
⇒ Each consecutive term follows this recursive rule
Part (B) :
With each term number increase of 1, the term value increases by 1/2.
Luc is investigating dilations of scale factor 2 of the line y = -4x +3. He claims that for some centers of dilation, the line will remain the same. Which centers of dilation could be used to support Luc's claim? Select ALL that apply.
Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.
To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.
For the origin (0, 0):
Point A: (x, y) = (0, 3)
Point B: (x, y) = (-4, -3)
Dilated Point A: (x, y) = (0, 6)
Dilated Point B: (x, y) = (-8, -6)
Equation of the dilated line: y = -4x + 6
This shows that the line is dilated with scale factor 2, but is the same line.
For the point (3, -4):
Point A: (x, y) = (3, -1)
Point B: (x, y) = (-1, -7)
Dilated Point A: (x, y) = (6, -2)
Dilated Point B: (x, y) = (-2, -14)
Equation of the dilated line: y = -4x + 3
This shows that the line is dilated with scale factor 2, but is the same line.
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Hiiioo! Someone please help me out!❤️:)
Answer:
bxwxh base x width x height.
Step-by-step explanation:
b=4
w=11
h=3
if you have a set of data pairs that show the amount of rain for each month of the year, what type of graph would you use?
Solution
Question: Which type of graph would you use to compare the amount of rainfall each month for one year.
Answer: Line Graph
i.e Bar graph , Histogram, etc
The population of Hopkins was 18,678 in 2017 with a growth rate of 2.9%. If the
population of Hopkins continues to grow at that rate, how many years will it take for the
population to double?
If the population of Hopkins continues to grow at that rate, the number of years it will take for the population to double is 24 years.
How to find the number of years?We would be make using of the rule of 70 to determine the number of years.
Using this formula to find the number of years it takes to double
Number of years = Rule 70 / Annual growth rate
Let plug in the formula
Number of years = 70 / 2.9
Number of years ≈ 24 years
Therefore, it will take approximately 24 years.
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K(–5, –9); rotation 180° about the origin, translation 3 units left
Answer:
Step-by-step explanation:
Rotate 180 degrees about the origin
X(x,y) ====> X'(-x,-y)
K(-5 , - 9) = K ' (- -5, - - 9)
K' (5,9)
3 Units Left.
y is unchanged.
x becomes x - 3
K'(5,9) ===>k" (5 - 3,9)
k"(2,9)
The leftward motion does not look done the same way as moving a parabola left. But you are just changing the x value to move a point left. You are not imposing other rules on the figure.
What’s the answer to this question if your right I’ll keep giving you points
\(\huge\text{$m\angle O=\boxed{11^{\circ}}$}\)
Since we know that all angles in a triangle add up to \(180^{\circ}\), we can solve for \(x\) and substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).
\(\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}\)
Remove the parentheses and combine like terms.
\(\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}\)
Add \(12\) to both sides of the equation.
\(\begin{aligned}12x-12&=180\\12x&=192\end{aligned}\)
Divide both sides of the equation by \(12\).
\(\begin{aligned}x=16\end{aligned}\)
Now that we have the value of \(x\), we can substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).
\(\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}\)
A) The table shows how much Melanie earned last weekend from her part-time jobs.
Job
Teaching Swim Lessons
Mowing Lawns
Amount Earned ($)
additive inverse: $
42.60
25.00
Find the additive inverse of the total amount that Melanie earned.
in to indicato whether or not it represents the ad
1. The additive inverse of -7/4 is 7/4.
2. Melanie earned a total of $67.60 from her part-time jobs. The additive inverse of $67.60 is $-67.60.
What is the additive inverse?The additive inverse of a number is the number that, when added to the original number, equals zero. In other words, the additive inverse of -7/4 is the number that, when added to -7/4, equals 0.
To find the additive inverse of -7/4, we can add 7/4 to -7/4. This gives us:
(-7/4) + (7/4) = 0
Therefore, the additive inverse of -7/4 is 7/4.
Melanie earned a total of $67.60 from her part-time jobs. The additive inverse of $67.60 is $-67.60. This means that if we add $-67.60 to $67.60, the result will be zero.
In other words, $-67.60 is the amount that, when added to $67.60, will leave Melanie with no money.
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what is the answer please ?
Answer:
10
Step-by-step explanation:
i think
please help! thanks!
Answer:
the Volume is 33.51
How many lines are there if the figure has 12 dots ?
How many lines are there if the figure had 120 dots?
EXPLAIN
Answer:
Step-by-step explanation: IONK BUT I LIKE YOUR PFP
note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. 7 women and 7 men are on the faculty in the mathematics department at a school. how many ways are there to select a committee of five members of the department if at least one woman must be on the committee?
No. of ways of selecting the 5 member committee by combination= 1981
What are the number of ways of selecting the 5 member committee ?
No. of women faculty in the mathematics department = 7
No. of men faculty in the mathematics department = 7
Total number of faculty members = 14
Condition - at least one woman must be on the committee
No. of ways of selection = C (14, 5) - C (7, 5)
We know that combination C(n , r) = \(\frac{n!}{(n-r)!r!}\)
Consider the total combination C (14, 5),
\(C (14, 5)=\frac{14!}{9!5!} \\\\=\frac{14 *13* 12 *11 *10 *9!}{9!* 5!} \\\\=\frac{14 *13* 12 *11 *10}{120} \\\\= \frac{240240}{120} \\\\= 2002\)
Consider the combination of men C (7, 5) ,
\(C (7, 5)=\frac{7!}{2!5!} \\\\=\frac{7*6*5!}{2!* 5!} \\\\=\frac{7*6}{2} \\\\= 7*3\\\\=21\)
No. of ways of selection = C (14, 5) - C (7, 5)
= 2002 - 21
=1981
No. of ways of selecting the 5 member committee of the department with least one woman by combination= 1981
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heeeelp pls i beg of you
Answer: 41.6%
Step-by-step explanation:
You divide the amount of trees 40ft or taller (10) by the total number of trees (24) so 10/24 = .416 (41.6%)
Kenia want to buy a new tv. The regular price i $759. The tore i offering a 15% dicount and a ale tax of 7% i added after the dicount. What i the total cot of the tv to the nearet cent?
The total cost of the TV would be $690.00 to the nearest cent.
Given that,
The regular price of the TV is $759
So, the regular price of the TV = $759
The store is offering a discount of 15%. To calculate the discount amount, multiply the regular price by the discount rate (15% = 0.15).
So, the offered discount is 15% of $759 = $113.85
Subtract the discount amount from the regular price to get the price after the discount.
Then, the price after the discount is $759 - $113.85 = $645.15
To calculate the sales tax, multiply the price after the discount by the tax rate (7% = 0.07).
Then, the sales tax for the TV is 7% of $645.15 = $45.13
Add the sales tax to the price after discount
Then, total cost: $645.15 + $45.13 = $690.28
It is rounded to the nearest cent: $690.28 = $690.00
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The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet
Answer:
7.1 square feet
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of each circle is 3/2=1.5. The area of a circle is \(\pi r^2=\pi \cdot 1.5^2=2.25\pi \approx 7.1\). Hope this helps!
Answer:
18.8
Step-by-step explanation:
Solve the following equation for ΔT : q=m×ΔT×C Select one: a. ΔT= qC
m
b. ΔT= mq
C
c. ΔT= q
mC
d. Equation cannot be solved. e. ΔT= mC
q
The equation q = m × ΔT × C can be solved for ΔT by rearranging the equation. The correct answer is (b) ΔT = mq/C.
To solve the equation q = m × ΔT × C for ΔT, we need to isolate ΔT on one side of the equation. We can do this by dividing both sides of the equation by m × C:
q = m × ΔT × C
Dividing by m × C:
q / (m × C) = ΔT
Rearranging the terms, we get:
ΔT = q / (m × C)
Therefore, the correct answer is (b) ΔT = mq/C. This rearranged equation allows us to calculate ΔT by dividing the heat transfer q by the product of mass (m) and specific heat capacity (C).
It's important to note that when solving equations, we should pay attention to the algebraic manipulations and ensure that the units of the variables are consistent throughout the calculation.
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PLSSSSSSSSS HELP DUE SOON!!!
The problem can be modeled with the linear equation:
2c - 1.5 = 6
Where c is the old amount of chips.
So the correct option is the last one.
Which is the correct expression?First, let's define the old amount as the variable "c".
1.5 less than twice the old amount is then written as:
2c - 1.5
And the total text says:
"1.5 less than twice the old amount is equal to 6"
So we have an equation, that equates the above expression and the number y, so we can write the linear equation:
2c - 1.5 = 6
This is the last option
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how does LENGTH of wire affect:
Strength
range
stiffness
The length of a wire can significantly impact its strength, range, and stiffness.
Strength refers to the ability of a wire to withstand an applied force without breaking. As the length of a wire increases, its strength decreases. This is because the cross-sectional area of the wire remains constant, while the overall volume of material in the wire increases with its length. Consequently, longer wires experience higher stress when subjected to the same force, making them more prone to breakage.
Range is the distance over which a wire can transmit a signal or energy. In electrical applications, the longer the wire, the greater the resistance it presents, which in turn reduces the effective range of the signal. As the wire length increases, more energy is dissipated as heat due to increased resistance, causing a drop in the signal strength. To maintain signal integrity, it's crucial to balance the length of the wire with its diameter and material properties.
Stiffness refers to the resistance of a wire to deformation when subjected to an external force. A longer wire will typically be more flexible and have a lower stiffness than a shorter wire of the same material and diameter. This is because the force applied to the wire is distributed over a larger area, making it more prone to bending. However, the stiffness can be increased by using a thicker wire or a material with higher stiffness properties.
In conclusion, the length of a wire affects its strength, range, and stiffness. Longer wires generally have lower strength and stiffness, and their range can be reduced due to increased resistance. To optimize these properties, it's essential to consider the wire's length, diameter, and material composition.
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A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from the station to the boat had a mignitude of 45.0 km and was directed 15.0∘ east of north. A vector from the station to the point where the boat was later found is A=30.0 km. 15.0∗ north of east. What are the components of the vector from the point where the distress call was made to the point where the boat was found? in other words, what are the components of vector C−B:−A ? x component y component 17.3 km east 35.7 km, south 40.6 km east 51.2 km south 17.3 km, west 51.2 km, south 35.7 km, west 17.4 km, north 40.6 km east 35.7 km north
The components of the vector from the point where the distress call was made to the point where the boat was found are 17.3 km east and 35.7 km south.
To determine the components of the vector from the point where the distress call was made to the point where the boat was found, we need to subtract the components of vector A from the components of vector B. Vector A is given as 45.0 km at 15.0° east of north, and vector B is given as 30.0 km at 15.0° north of east.
To find the x-component, we need to subtract the east component of vector A (45.0 km * cos(15.0°)) from the east component of vector B (30.0 km * sin(15.0°)). This gives us 17.3 km east.
To find the y-component, we need to subtract the north component of vector A (45.0 km * sin(15.0°)) from the south component of vector B (30.0 km * cos(15.0°)). This gives us 35.7 km south.
Therefore, the components of the vector from the point where the distress call was made to the point where the boat was found are 17.3 km east and 35.7 km south.
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Is 2/13 closer to 0,1/2,or 1
the answer for the equation is 0
which of the following are continuous functions of time? (a) the quantity of gas in the tank of a car on a journey between new york and newark. continuous not continuous (b) the number of students enrolled in a class during a semester. continuous not continuous
(a) The quantity of gas in the tank of a car on a journey between New York and Newark is a continuous function of time.
(b) The number of students enrolled in a class during a semester is also a continuous function of time.
(a) The quantity of gas in the tank of a car on a journey between New York and Newark is a continuous function of time.
As the car travels, the amount of gas in the tank changes continuously without any abrupt jumps or discontinuities.
(b) The number of students enrolled in a class during a semester is also a continuous function of time. The enrollment count can change gradually as students join or leave the class, and there are no sudden jumps or interruptions in the enrollment process.
Therefore, both (a) the quantity of gas in the tank of a car and (b) the number of students enrolled in a class during a semester are continuous functions of time.
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Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable. How should Mr. Johns handle this situation
Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explaining that one component of math is understanding reasonable answers.
Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable.
Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explain that one component of math is understanding reasonable answers.
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If m ∠ A B F = ( 8 w − 6 ) ° and m ∠ A B E = [ 2 ( w + 11 ) ] ° , find m ∠ E B F .
The angle of EBF is 6w -28°.
It is required to find the angle of EBF.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
ABF = 8w - 6
ABE = 2(w + 11)
According to given question we have,
Angle EBF = ABF - ABE
Angle EBF = 8w - 6 - [2(w + 11)]
Angle EBF = 8w - 6 - [2w + 22]
Angle EBF = 8w - 6 - 2w - 22
Angle EBF = 6w -28°
Therefore, the angle of EBF is 6w -28°.
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5. The table below shows the number of people (in millions) who voted in U.S. Presidential elections.
Year
Voters
1984 1988 1992 1996 2004
91.6 104.4 96.3
92.7
122.3
a. Find the line of best fit.
1980
86.5
b. Predict the number of voters in 2012.
Find line of best fit
Predict the number of voters in 2012
a) y=-2780.85+1.447x
b) There are 142.09 voters estimated in the year 2012
What is line of regression ?Regression analysis is a group of statistical techniques used in statistical modelling to identify relationships between a dependent variable and one or more independent variables. The dependent variable is frequently referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon (often referred to as "predictors," "covariates," "explanatory variables," or "features"). The line (or more complex linear combination) that most closely matches the data in terms of a specified mathematical criterion is found in linear regression, the most common type of regression analysis. For instance, the line (or hyperplane) that minimises the sum of squared differences between the real data and that line is determined when using the ordinary least squares approach (or hyperplane).
Calculationx = 11940 / 6 = 1990y = 593.8/6 = 98.9667
let the regression equation be y = a + bx
b = \(\frac{ ∑xy - nxy }{∑x^{2} -nx^{2} }\) = \(\frac{1182067 - 6 * 1990 * 98.9667}{23760880 - 6 * 1990^{2} }\) = 1.447
a = y - bx = 98.667 - 1.447 x 1990 = -2780.85
The regression equation is
x = 2020 in regression equation
substituting x=2020 in the regression equation
y = 142.09
There are 142.09 voters estimated in the year 2012
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What are the coordinates of the terminal point determined by t=11pi/3 help please
Answer: The correct answer is B
Step-by-step explanation: (1/2,-sqrt3/2) just took quiz you’re welcome
By trigonometry functions, the coordinates of the terminal point are (1/2, -√3/2)
The given function is t = 11 pi / 3
How to find the coordinates of the terminal point?Given: t = 11 pi / 3
By the definitions of trigonometry functions, the point P has as coordinates P(x, y).
x=cos(11π/3) and y=sin(11π/3)
Trig table and unit circle give
x= cos(11π/3)=cos(-π/3+4π)
=1/2
y=sin(11π/3)=sin(-π/3+4π)
=-sin(π/3)=-√3/2
P is in Quadrant IV, (1/2, -√3/2) be the coordinates of the terminal point at t = 11π/ 3.
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50 POINTS!!!!!!!!
ANSWER PLEASE
Answer:
3
15
Step-by-step explanation:
15 is the number that forms the ratio 3/7 of 35
follow the column up until the row 3
Answer:
3 and 15
Step-by-step explanation:
I hope this helps (✿◡‿◡)
Challenge: Solve the equation 0.3z = 2.10 for z. Which of these equations has the same solution?
Z-14.92 = 7.92
z + 7.92 = 14.92
Z-7.92 = 14.92
Z + 14.92 = 7.92
Answer:
\({ \boxed{z + 7.92 = 14.92}}\)
Step-by-step explanation:
\(0.3z = 2.10 \\ \\ z = \frac{2.10}{0.3} \\ \\ { \underline{z = 7}}\)
The sum of two numbers is 240. If one of them
is y find the other number.
Answer:
120?
Step-by-step explanation:
Let's solve the problem step by step: Let's assume the other number is x. According to the problem, the sum of the two numbers is 240. so we can write the equation as: \(x + y = 240\)
To find the value of x, we need to substitute the value of y into the equation. Since y is given, we can substitute it. \(x + y = 240 x + y = 240 x + y + (-y) = 240 + (-y) x = 240 - y\) Now, we have an equation expressing x in terms of y. To determine the value of x, we need to know the value of y.
Without that information, we cannot calculate the value of x specifically. However, based on the information given, we can conclude that the value of x will be equal to 240 subtracted by the value of y.
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He regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2
Answer:
41.57 in²
Step-by-step explanation:
Answer:
41.57 in² round it up and it's 42
Step-by-step explanation:
I just did it
Brainliest pls
Question content area top
Part 1
Suppose a city with population 700,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 21 years.
Based on exponential growth, city with a population of 700,000 growing at an annual rate of 7% will be 2,898,394 in 21 years.
What is the exponential growth?Exponential growth refers to an increase where a constant proportional amount is added to the initial value.
Exponential growth function can be modeled as follows:
f(x)=a(1+r)ˣ
Where:
f(x) = exponential growth function
a = initial amount
r = growth rate
{x} = number of time intervals
The current population of the city, a = 700,000
The annual growth rate, r = 7% = 0.07
The number of time intervals, x = 21 years
The population in 21 years = 700,000 x (1 + 0.07)²¹
= 700,000 x (1.07)²¹
= 700,000 x 4.14056237
= 2,898,394
Thus, using an exponential growth rate, the population of the city will grow to 2,898,394 after 21 years.
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factors of -144 that add up to 15
Step-by-step explanation:
The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2. Add the number 1 with the exponents and multiply it. (4+1)(2+1) = 5 x 3 = 15.