Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{opp}{100}\) ( multiply both sides by 100 )
100 × tan35° = opp , that is
opp ≈ 100 × 0.7002 = 70.02
Thus height of tree = 70.02 + 5 = 75.02 ft
--------------------------------------------------------------------
Using the tangent ratio in the right triangle on the right.
tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{25.17}{rope}\) ( multiply both sides by rope )
rope × tan40° = 25.17 ( divide both sides by tan40° )
rope = \(\frac{25.17}{tan40}\) = \(\frac{25.17}{0.839}\) = 30 ft
What is the 12th term of the linear sequence below?
7,9,11,13,15
Answer:
The 12th term would be 29
Step-by-step explanation:
First find the Algebraic expression:-
Xn = dn + b
'd' means common difference, which is 2 in this sequence.
'b' means 'first term- d'
So, b = 7 - 2
b = 5
Xn = 2n + 5
Now, to find the 12th term, substitute 12 in the place of 'n':-
2 x 12 + 5
29 is the 12th term!
pls pls pls helpjust need the answer
Answer:
k = - 8
Step-by-step explanation:
given that (x - a) is a factor of f(x) , then f(a) = 0
given
(x - 1) is a factor of f(x) then f(1) = 0 , that is
3(1)³ + 5(1) + k = 0
3(1) + 5 + k = 0
3 + 5 + k = 0
8 + k = 0 ( subtract 8 from both sides )
k = - 8
first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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PLEASE ANSWER ASAP Select the locations on the number line to plot the points 9/2 and -7/2
This answer is the attached image
Fuzzy draws a segment of positive length in a plane. How many locations can Fuzzy place another point in the same plane to form a non-degenerate isosceles right triangle with vertices consisting of his new point and the endpoints of the segment?
Answer: 2 locations.
Step-by-step explanation:
A non-degenerate triangle means that the 3 vertices are no colinear, so we can not draw the other point in top of the segment.
Now, if we want to construct an isosceles triangle, then we must start for the middle of the segment, now we draw a line that cuts perpendicularly our segment by that point (by the middle).
Now, any point in that line is at the same distance from both ends of our triangle.
now the angle between those two new sides must be 90°, (because this is a right triangle) so we have, for each side of our segment, a unique location such that the end result is a non-degenerate isosceles triangle.
So we have 2 locations
if y1 = 116 and y7 = 255, then the simple index number for period 7 (denoted i7) is:
The index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.
How to determine the simple index number for period 7Based on the information provided, we will calculate the simple index number for period 7 (i7) using the given values for y1 and y7.
The simple index number formula is:
i7 = (y7 / y1) × 100
Where y1 represents the value in period 1 (116) and y7 represents the value in period 7 (255).
Plugging in these values, we get: i7 = (255 / 116) × 100 i7 ≈ 219.83
Thus, the simple index number for period 7 (i7) is approximately 219.83.
This index number is a measure that compares the value of y7 to the value of y1, with y1 being the base period.
In this case, the index number indicates that the value in period 7 has increased by about 119.83% compared to the value in period 1.
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b. Find a power reduction identity for cos ²θ using a double-angle identity.
To find a power reduction identity for cos(20°) using a double-angle identity, we can start by expressing cos(20°) in terms of a double angle. The power reduction identity for cos(20°) is simply cos(20°) itself.
The double-angle identity for cosine states:
cos(2θ) = 2cos^2(θ) - 1
Let's rewrite the double-angle identity using θ = 10° (half of 20°):
cos(20°) = 2cos^2(10°) - 1
Now, we need to find an expression for cos^2(10°). For that, we can use the half-angle identity for cosine:
cos^2(θ/2) = (1 + cos(θ)) / 2
Substituting θ = 20°:
cos^2(10°) = (1 + cos(20°)) / 2
Now, let's substitute this expression back into the initial equation:
cos(20°) = 2[(1 + cos(20°)) / 2] - 1
Simplifying:
cos(20°) = (1 + cos(20°)) - 1
cos(20°) = cos(20°)
So, the power reduction identity for cos(20°) is simply cos(20°) itself.
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What is the slope of the line y=3?
Answer:
The slope is zero.
Step-by-step explanation:
Imagine the graph. \(y=3\) would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.
On the other hand, if the line was vertical (e.g. \(x=3\)), then the slope would be undefined.
Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.
Step-by-step explanation: y=3 rewritten as y=0x+3
For a line equation for the form of y=mx+b, the slope is m
m=0
Rachelle buys a drink. She spends the same amount of money on her drink as Chuck spent on his candy. Rachelle now has only 1/3 of the same amount of money that she had before she bought the drink. How much money did Rachelle have before she bought the drink?
Answer:
$1.80
Step-by-step explanation:
2/3x = 1.2
x = 1.2 / (2/3)
x = 1.2 * (3/2)
x = 1.80
USE PYTHON
1. NOTE: in mathematics, the square root of a negative number is not real; in Python therefore, passing such a value to the square root function returns a value known as NaN (not-a-number).
Write the code that reads a value, the area of some square, into a variable named areaOfSquare and prints out the length of the side of that square.
HOWEVER: if any value read in is not valid input, just print the message "INVALID".
2.Write some code that repeatedly reads a value into the variable n until a number between 1 and 10 (inclusive) has been entered.
3. Write some code that repeatedly reads a value from standard input into the variable response until at last a Y or y or N or n has been entered.
PLEASE HELP!!
Python code for given situations:
1)
areaOfSquare = int(input('Area of the square: '))
if areaOfSquare >= 0:
sideOfSquare = sqrt(areaOfSquare)
print(sideOfSquare)
else:
print("INVALID")
2)
while True:
n=int(input("Enter a number: "))
if(n>=1 and n<=10):
break;
3)
response = str()
while True:
response=input("Enter a number: ")
if (response=='y' or response =='Y' or response=='N' or response=='n'):
break;
In this question we need to write Python code for given situations.
1)
areaOfSquare = int(input('Area of the square: '))
if areaOfSquare >= 0:
sideOfSquare = sqrt(areaOfSquare)
print(sideOfSquare)
else:
print("INVALID")
2)
while True:
n=int(input("Enter a number: "))
if(n>=1 and n<=10):
break;
3)
response = str()
while True:
response=input("Enter a number: ")
if (response=='y' or response =='Y' or response=='N' or response=='n'):
break;
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I really need help with part a and b, please help. Incorrect answers will be downvoted, correct answers will be upvoted. 1. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is of a second. p=00.00040.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 0.0185 0.02420.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 a) Find the real discrete Fourier transform for this data set. (b) Any term in the Fourier series can be written: ak Cos(kwt)+bk sin(kwt) =ck Cos(kwt+$k) ak Find the ck's and plot their amplitude on a bar graph vs. k to illustrate the relative size of each term in the series. Explain the significance of the plot
(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.
(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.
To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.
Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.
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Two forces F1 and F2 are acting on an object as shown in the figure
From the question;
1) The net force is 10 N
2) The direction is to the left
3) The acceleration is 0.5\(m/s^2\)
What is the acceleration due to force?
The acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass, according to Newton's second law of motion.
The Net force = \(F_{2} - F_{1}\)
= 30 N - 20 N
= 10 N
The acceleration is obtained from;
F = ma
F = 10 N
m = 20 Kg
a = F/m
a = 10 N/20 Kg
a = 0.5\(m/s^2\)
The acceleration of the object is 0.5\(m/s^2\).
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2m - n =8 Solve for n
Answer:
\( \boxed{\sf n = 2m - 8} \)
Step-by-step explanation:
Solve for n:
⇒2m - n = 8
Subtract 2 m from both sides:
⇒2m - 2m - n = 8 - 2m
2m - 2m = 0:
⇒-n = 8 - 2 m
Multiply both sides by -1:
⇒-n × (-1) = (8 - 2m) × (-1)
⇒n = 2m - 8
The required value of n is equal to n = 2m - 8.
An expression is given in the question ; i.e., 2m - n = 8.
We have to find the value of the 'n' .
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
The given expression is 2m - n = 8.
Let's solve it to get the value of n.
The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.
So ,
2m - n = 8 can be written as ;
2m = 8 + n
or
n = 2m - 8
Thus , the required value of n is equal to n = 2m - 8.
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if f(x)=-2x+17, then calculate f(2)
Answer:
f(2) = 13
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x) , that is
f(2) = - 2(2) + 17 = - 4 + 17 = 13
2. A small spacecraft is maneuvering near an orbital space station. At a particular instant its velocity and acceleration vectors are v=<-2,4,--1> and a =<6, 1, 1 >, with distance in meters and time in seconds. a. Is the spacecraft speeding up or slowing down, and by how much? Round the result to 3 decimal places and include units in the (12) answer 2 continued. A small spacecraft is maneuvering near an orbital space station. At a particular instant its velocity and acceleration vectors are v =<-2,4,-1 > and a =<6, 1, 1 >, with distance in meters and time in seconds. b. The normal acceleration component indicates the instantaneous turning radius as follows: R=, where R is the UN radius, ay is the normal acceleration component, and V is the speed. Find the radius for this instant in the maneuver. Accurately round the result to 3 decimal places and include units in the answer. HINT: These are scalar quantities. You can find an using only scalar operations. (12)
Therefore, Speed up by 6.164 m/s², Turning radius: 5.305 m.
(a) To find out if the small spacecraft is speeding up or slowing down, calculate the magnitude of the acceleration vector using the formula given below:|a| = √(a_x^2 + a_y^2 + a_z^2)where a_x, a_y, and a_z are the x, y, and z components of the acceleration vector, respectively.|a| = √(6^2 + 1^2 + 1^2) = √38 ≈ 6.164 m/s²This shows that the small spacecraft is speeding up by 6.164 m/s².(b) To find the radius of the instantaneous turning radius, we need to find the normal acceleration component ay using the formula given below:ay = |a| cosθwhere θ is the angle between the velocity and acceleration vectors. To find θ, use the dot product of v and an as follows:v · a = |v||a| cosθ-2(6) + 4(1) + (-1)(1) = √21 √38 cosθcosθ = -0.522θ = cos^-1(-0.522) ≈ 119.84°Now, we can find ay:ay = |a| cosθ = 6.164 cos(119.84°) ≈ -2.219 m/s²Finally, we can find the radius R:R = V^2/ayR = √((-2)^2 + 4^2 + (-1)^2)/|-2.219| ≈ 5.305 m.
Therefore, Speed up by 6.164 m/s², Turning radius: 5.305 m.
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Which of the following are measures of central tendency? Check all that apply.
A.The median
B.A sample statistic
C.The mode
D.The lowest value
E. The mean
All the measures of central tendency are, The median, The mode, and The mean.
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;
There are some measures,
A. The median
B. A sample statistic
C. The mode
D. The lowest value
E. The mean
We know that;
The four measures of central tendency are mean, median, mode and the midrange.
Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set.
Hence, All the measures of central tendency are, The median, The mode, and The mean.
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Solve the equation C^2 =4
Answer:
2
Step-by-step explanation:
Hey there!
The equation is asking us, c x c = 4
What is c?
Well the only number that is equal to 4 when you square it is 2
which action by the group leader demonstrates effective leadership?
Effective leadership can be demonstrated in many different ways, but here are a few examples of actions that may indicate effective leadership by a group leader:
1. Clear communication: A group leader who communicates clearly and effectively with their team is more likely to build trust and respect among the group.
2. Empathy and emotional intelligence: A leader who demonstrates empathy and emotional intelligence can help build a positive team culture by understanding and acknowledging the feelings and needs of their team members.
3. Delegation and empowerment: An effective leader knows how to delegate tasks and responsibilities to team members in a way that maximizes their strengths and abilities, while also providing support and guidance as needed.
4. Leading by example: A leader who sets a positive example for their team by modeling the behaviors and attitudes they want to see in their team is more likely to earn respect and trust from their team members.
5. Strategic thinking: A leader who is able to think strategically and make informed decisions based on data and evidence can help steer their team towards success.
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Really lost on this one :(
Applying the definition of supplementary angles, x = 18; m<PNO = 70°.
What are Supplementary Angles?If two angles lie on a straight line adjacent to each other, both angles are supplementary, thus, their sum is equal to 180 degrees.
Angle MNO and angle PNO are supplementary angles, therefore:
m<MNO + m<PNO = 180 degrees.
m<MNO = 110°
m<PNO = (3x + 16)°
Substitute
110 + 3x + 16 = 180
126 + 3x = 180
126 + 3x - 126 = 180 - 126
3x = 54
x = 18
m<PNO = 3x + 16 = 3(18) + 16
m<PNO = 70°
Therefore, applying the definition of supplementary angles, x = 18; m<PNO = 70°.
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If the simple interest on $5000 for 4 years is $800, what is the interest rate?
Answer: I = $ 160,000.00
Step-by-step explanation:
Mikki created a painting with an area of 32 square feet and a length of 4 feet. They create a second painting with an area of 24 square feet. It has the same width as the first painting. what is the length of the second painting?
Answer:
3 feet
Step-by-step explanation:
To begin, find the width of the first painting by dividing 32 by 4. You get 8 feet as the width. Since the second painting has a width of 8, divide 24 by 8 to get the length (area of a rectangle is length times width). You get that the length of the second painting is 3 feet.
Hopefully this helps- let me know if you have any questions!
In smithville the gas station is one of the convenience store which is located at point zero. The laundromat is 2/5 of a mile south of the gas station there is a sandwich shop that 2/5 of a mile south of the convenience store and a day care that is 3/5 of a mile south of a sandwich shop
In Smithville, the gas station is located at Point Zero and the laundromat is 2/5 of a mile south of the gas station. The sandwich shop is 2/5 of a mile south of the convenience store and the day care is 3/5 of a mile south of the sandwich shop.
All of these locations are easily accessible and provide convenience services to the local Smithville community. The gas station offers fuel and other automotive services, while the laundromat provides laundry and dry cleaning services. The sandwich shop provides quick food and snacks, while the day care offers a safe and nurturing environment for children.
All of these locations are within a close proximity to one another and provide a convenient way for the Smithville community to access essential services.
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the team's engagement score was 4.6 this month. the score has been improving at a rate of 11% per month. what was the score 3 months ago?
The engagement score was 3.86 three months ago.
Engagement score is a metric that measures the level of interaction and involvement that people have with a particular brand, product, or service. It is often used in marketing and advertising to assess the effectiveness of campaigns and to evaluate the success of social media strategies.
Let's call the engagement score from 3 months ago "x". If the score has been improving at a rate of 11% per month, then after 3 months, the score would be
\(x + (x \times 11) + (x \times 11 \times 11) + (x \times 11 \times 11 \times 11) = x \times 1.11^3\)
Since the score is now 4.6, we can set up an equation:
\(x \times 1.11^3 = 4.6\)
To find x, we can divide both sides by \(1.11^3\):
\(x = \frac {4.6} {1.11^3}\)
after solving, we can say that the value of x is 3.86.
Therefore, the engagement score was 3.86 three months ago.
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write a quadratic function in standard form whose graph passes through the given points (10,0), (1,0), and (4,3).
The quadratic function in standard form whose graph passes through the given points (10,0), (1,0), and (4,3) is; y = 0.2x² - 2.2x + 2
How to write the standard form of the quadratic equation?
The standard form of a quadratic equation is;
y = ax² + bx + c
where a, b and c are constants
Thus, for the coordinate (10,0), we have;
0 = a(10)² + b(10) + c
100a + 10b + c = 0 -----(1)
For the coordinate (1,0), we have;
0 = a(1)² + b(1) + c
a + b + c = 0 -----(2)
For the coordinate (4,3), we have;
3 = a(4)² + b(1) + c
16a + b + c = 3 ------(3)
Using online simultaneous equation, we have;
a = 0.2 and b = -2.2 and c = 2
The quadratic function is;
y = 0.2x² - 2.2x + 2
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Can someone solve this and show it step by step
−5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)
Step-by-step explanation:
-5x + 2(x -4 -2x) > 5 - 2x -2
-5x + 2x -8 -4x > 3 - 2x
-7x -8 > 3 - 2x
-5x > 11
x < 11:-5
x < -2.2
Answer:
x ≤ 3
Step-by-step explanation:
It costs $0.40 per mile to ride the train from Minneapolis to Duluth, Minnesota. If the entire trip costs $54.80, what is the distance from Minneapolis to Duluth?
Answer:
the distance from Minneapolis to Duluth is 137 miles
Step-by-step explanation:
The computation of the distance from Minneapolis to Duluth is shown below:
Given that
The cost per mile is $0.40
And, the total trip cost is $54.80
So based on the above information
The distance from Minneapolis to Duluth is
= $54.80 ÷ $0.40
= 137 miles
Hence, the distance from Minneapolis to Duluth is 137 miles
The same would be considered
Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) hwo many outcomes end with over 8$
b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?
Answer:
343
Step-by-step explanation:
There are quarters(25¢), loonies ($1), and toonies ($2)
And total number of coins is 9
If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7
If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7
If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7
So possible number number of combination for an item that cost between $10 and $12 is
= 1^3 * 1^3 * 7^3
= 343
hope this helps, stay safe :)
The number of different combinations of coins could Teo use to pay for an item that costs between $10 and $12 is 17.
What are Combinations?Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.
Given that,
Teo has a combination of quarters, loonies, and toonies in his pocket.
Total number of coins = 9
1 quarter = $0.75
1 loonie = $1
1 toonie = $2
If he uses fewer toonies than loonies,
Total number of combinations of 9 coins = 1³ × 1³ × 7³ = 343
We need the number of combinations in between $10 and $12.
We can form the following combinations.
(2 × $1) + $2 gives $4. Remaining can be 8, 9 and 10 quarter coins.
(3 × $1) + (2 × $2) gives $7. Remaining can be 4, 5 and 6 quarter coins.
(3 × $1) + (1 × $2) gives $5. Remaining can be 7, 8 and 9 quarter coins.
(4 × $1) + (3 × $2) gives $10. Remaining can be 1 or 2 quarter coins.
(4 × $1) + (2 × $2) gives $8. Remaining can be 3, 4 and 5 quarter coins.
(4 × $1) + (1 × $2) gives $6. Remaining can be 6, 7 and 8 quarter coins.
Total number of combinations = 3 + 3 + 3 + 2 + 3 + 3 = 17
Hence the total number of combinations are 17.
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Monica rode her bike 35 kilometers in 2.5 hours. What was her average speed
Answer:
14 kilometers
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
35÷2.5=14
have a goodnight
The point (0, 0) is a solution to which of these inequalities?
A. y - 5 < 3x - 4
B. y - 4 < 3x - 5
C. y + 5 < 3x + 4
D. y + 5 <3x - 4
Answer:
if their was a picture of the graph, i could of answered it.
Step-by-step explanation:
What does the graph of f(x) = 3x2 – 2x + 1 look like?
Answer: Please refer to the 2 attachments below.
Step-by-step explanation: