Answer: Height = 41 in
Step-by-step explanation:
Alrighty, I was trying to dodge this question but I guess I'll have to split my brain cells.
To find the Height we can turn the information we have into an equation
15,577.54 = 3.14 * 11 ^ 2 * h
we do some distrubutive property
15,577.54 = 3.14 * 121 * h
15,577.54 = 379.94 * h
15,577.54 = 379.94h
divide by 379.94
H = 41
THE HEIGHT IS 41 YAY ( My head hurts )
Write a linear equation given the two points: (-3, -9) and (4, -2)
Please solve this equation for me!
x-5(x-1)=x-(2x-3)
Answer:
2/3
Step-by-step explanation:
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house.
The shortest distance between Caroline's and Mattie's house is 10 blocks.
If we assume this as a right angle triangle then height (BA) is 6 blocks long and base (BC) is 8 blocks
long.
Then, the shortest distance between Caroline's and Mattie's house will be the hypotenuse (AC) of this
triangle.
So, by applying Pythagoras theorem:
\((AC)^{2} = (BA)^{2} = (BC)^{2} = (6)^{2}+(8)^{2}\) = 36+64 = 100
Thus, AC = \(\sqrt{100}\) = 10 blocks.
Hence, the shortest distance we can take from Caroline's house to reach Mattie's house is 10 blocks.
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Find the midpoint of each segment in Exercise 1 above.Example: The midpoint M between point E and point F is calculatedwith the Midpoint Formula.
We have to calculate the midpoint for each segment.
To do that we have to calculate the average for the coordinates of each point.
1) For AB, we have A = (-5,8) and B = (-5,6).
We can then calculate the midpoint coordinates as:
\(M_{AB}=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})=(\frac{-5+(-5)}{2},\frac{8+6}{2})=(-\frac{10}{2},\frac{14}{2})=(-5,7)\)2) For BC we have B = (-5,6) and C = (-2,6).
The midpoint will be:
\(M_{BC}=(\frac{-5+(-2)}{2},\frac{6+6}{2})=(\frac{-7}{2},\frac{12}{2})=(-\frac{7}{2},6)\)3) For CD we have C = (-2,6) and D = (2,3).
The midpoint will be:
\(M_{CD}=(\frac{-2+2}{2},\frac{6+3}{2})=(\frac{0}{2},\frac{9}{2})=(0,\frac{9}{2})\)4) For DE we have D = (2,3) and E = (2,-1).
The midpoint will be:
\(M_{DE}=(\frac{2+2}{2},\frac{3+(-1)}{2})=(\frac{4}{2},\frac{2}{2})=(2,1)\)5) For EF we have E = (2,-1) and F = (6,0).
The midpoint will be:
\(M_{EF}=(\frac{2+6}{2},\frac{-1+0}{2})=(\frac{8}{2},-\frac{1}{2})=(4,-\frac{1}{2})\)Answer:
AB = (-5,7)
BC = (-7/2,6)
CD = (0,9/2)
DE = (2,1)
EF = (4,-1/2)
using only these statistics, and taking into account the fact that the two models have a differing number of independent variables, which model is preferred?
In order to determine which model is preferred, we need to take into account the significance of the independent variables and the overall fit of the model. It is important to note that having a differing number of independent variables does not necessarily mean one model is better than the other.
Firstly, we need to analyze the significance of the independent variables in both models. A variable is considered significant if it has a p-value less than 0.05. If one model has more significant variables than the other, it may be preferred. However, if both models have similar levels of significance, we need to look at the overall fit of the model.
One way to assess the overall fit of the model is to look at the R-squared value. This value indicates the proportion of variation in the dependent variable that can be explained by the independent variables. A higher R-squared value indicates a better fit. However, this value should be interpreted in the context of the specific problem and should not be used as the sole determinant of model preference.
In addition, other factors such as the complexity of the model and the interpretability of the results should also be considered when deciding which model is preferred.
Therefore, the answer to the question of which model is preferred cannot be determined solely based on the fact that the two models have a differing number of independent variables. It requires a thorough analysis of the significance of the independent variables, the overall fit of the model, and other relevant factors.
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in
2. Susan is divorced and has one child that she pays for. She will file her taxes as a head of
household for federal income tax and single for state tax purposes. Susan's gross income is
$48,500. Susan lives in Louisiana
Answer:
what si the questions
Step-by-step explanation:
What is one possible solution for x? 2x2=8
8
-2
6
9
Answer:
you are going to say 2(2) ×2
then 4×2=8
Here is the production function for the economy of Morovia: Y=
K (Y= Square Root of K). People invested 55% of income, and 10% of capital depreciates. If capital was equal to 25 last year, and technology did not change, then what could be the amount of capital this year? Select one: a. Something more than 25 b. 25 c. Something less than 25 d. None of these are true e. It is not possible to determine this from the information given
Based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
To determine the amount of capital this year based on the given information, we can use the investment and depreciation rates.
Let's denote the amount of capital this year as K1.
According to the information provided:
People invest 55% of income, but we don't have any information about income. Therefore, we cannot determine the exact investment amount.
10% of capital depreciates. Based on this, the capital at the beginning of this year (K1) can be calculated as follows:
K1 = K - 0.1K
= 0.9K
Since we know that the capital last year was equal to 25, we substitute K = 25 into the equation above:
K1 = 0.9 * 25
= 22.5
Therefore, based on the given information, the amount of capital this year (K1) could be something less than 25 (option c).
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anyone solve these questions plz
Answer:
5)7:8=180
84:96=180
6)4:5=90
40:50=90
7)a). q=135
p=45
b).a=70
b=110
supplementary angle=sum of two angle 180°
complementary angle=sum of two angle 90°
Answer:
5) Ans;The two angle 7 and 8 —> 7x and 8x
Sum of two supplementary angle is 180°
7x +8x =180
15x =180
x= 180/15
x = 12°
7x =7(12)= 84°
8x = 8(12)= 96°
The angles; 84° , 96°
6) Ans;The two angle 4 , 5 —> 4x and 5x
Sum of two complimentary angle is 90°
4x+5x =90
9x =90
x=90/9
x=10
4x—> 4(10) = 40°
5x —> 5(10) = 50°
The angles; 40° , 50°
7) Ans;q= 135 ( Vertically Opposite angles)
q+p = 180
135+p=180
p=180-135
p = 45°
_______o_____o_____
a= 70° ( Alternate angles)
a+ b = 180
70 + b = 180
b =180 - 70
b = 110
So ; angle a=70° , b = 110°
I hope I helped you^_^
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Xavier needs to print some color copies for a presentation, and he has a coupon. His cost y in dollars to print x copies is y = 0.08x – 2.50.
2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
y = 0.08x - 2.50
Where x is the number of copies and y is the cost of printing x copies.
Now,
From the equation,
y = 0.08x - 2.50
2.50 is the coupon amount.
0.08 is the cost for one copy.
Thus,
2.50 is the coupon amount.
0.08 is the cost for one copy.
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the radius of the earth - the distance from surface to core - is 6,370 kilometers. the planet neptune is 24,620 kilometers. if a scale model of the earth is drawn with a radius of 2.5 centimeters, how large would a scale model of neptune have to be drawn? group of answer choices 9848 cm 9.7 cm 2548 cm 0.02548 cm 3.86 cm
We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.
We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:
Neptune's radius is equal to the product of Earth's radius and its scale model.
With the provided values, we may simplify and obtain:
24620 km / 6370 km equals 2.5 cm / r
We obtain the following when solving for "r":
r = (24620 km * 2.5 cm) / (6370 km)
r ≈ 9.7 cm
Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.
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HELP!!
what is the domain AND range for each problem!
f(x) = 1.5x + 10
g(x) = 25
h(x) = 15 - 3x
Answer:
1. Domain: \((-\infty, \infty)\), Range: \((-\infty. \infty)\)
2. Domain \((-\infty, \infty)\), Range: 25
3. Domain: \((-\infty, \infty)\), Range: \((-\infty. \infty)\)
Step-by-step explanation:
The domain and range of all non-constant linear functions is \((-\infty, \infty)\).
If two angles in a triangle measure and x degrees, then the third angle measures (90 − x) degrees.
In triangle ABC, angle A measures 90 degrees and angle B measures .
Answer:
30° ,60° or 45 °,45°
Step-by-step explanation:
please mark as brainlist answer
a) Write an equation for a line in point-slope form that is parallel to the line y=2/3x-5 and passes through the point (3, 4).
b) Explain what would be different in part (a) if you were asked to write an equation for a line that is perpendicular instead of parallel.
Answer: a) y - 4 = 2/3(x) - 2
b) y - 4 = -3/2(x) -2
Step-by-step explanation:
equation of original line: y = 2/3x -5
point on a line parallel to original line: (3,4)
The slope of a line parallel to a given line has the same slope, so the equation of the parallel line (in point-slope form) is:
(y - y1) = 2/3(x - x1)
point (x1, y1) is (3, 4)
plug (3,4) into the equation:
y - 4 = 2/3(x - 3)
y - 4 = 2/3(x) - 2
rewrite in slope-intercept form: y = 2/3(x) + 2
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the first line: - 1/m
Therefore, the slope of the perpendicular line = -3/2
Equation for the perpendicular line is:
y - 4 = -3/2(x) -2
Which graph is a histogram?
Answer: The second one.
Which is the ratio of triangles and to hearts
there is 22 hearts and
11 triangles
Answer:
triangles : hearts = 11 : 22 = = 11 : 2(11) = 1 : 2
If you put it in fraction form it's \(\frac{triangles}{hearts} =\frac{11}{22} =\frac{11}{2(11)}=\frac{1}{2}\).
Clark filled 130 cups for a drink station along a race route. He filled 90 cups with water and the rest with sports drink. Which is closest to the percent of the cups that were filled with sports drink?
The function p is defined as p(x) = x2 – 3x. If thefunction q is defined as q(x) = p(x) – 4, what is thevalue of q(10) ?A) -30B) 6C)66D) 70
Firstly, we need to get the expression of the function q(x) from p(x)
Which situation can be represented by the equation x + 14 = 25?
The situation that can be represented using the equation x + 14 = 25 is
illustrated below.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
Given an equation x + 14 = 25.
A situation can be represented as,
Joy and John are two friends, Joy has 14 chocolates, and together they have a total of 25 chocolates, How many chocolates John has?
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a ____ is a procedure performed for definitive treatment rather than diagnostic purposes.
A therapeutic procedure is a procedure performed for definitive treatment rather than diagnostic purposes.
A procedure performed for definitive treatment rather than diagnostic purposes is a therapeutic procedure. These procedures are aimed at treating or curing a particular condition, disease, or illness. Therapeutic procedures are used to relieve pain, restore function, improve mobility, or even save a patient's life. Unlike diagnostic procedures that are performed to identify a problem, therapeutic procedures involve actually treating the problem. Examples of therapeutic procedures include surgeries, chemotherapy, radiation therapy, and immunotherapy. These procedures are often more invasive than diagnostic procedures and may require anesthesia or sedation. The goal of a therapeutic procedure is to improve the patient's health and well-being, and they are an essential part of modern medical care.
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TS
Not everyone pays the same price for
the same model of a car. The figure
illustrates a normal distribution for the
prices paid for a particular model of a
new car
99. 7%
95%
188%
nber of Car Buyers
What is the standard deviation: $
Enter your answer in the answer box.
The standard deviation for the prices paid for this particular model of car is $6,250.
How do pay within three standard deviations?Based on the figure you provided, we know that the data is normally distributed and approximately 68% of car buyers pay within one standard deviation of the mean, approximately 95% pay within two standard deviations, and approximately 99.7% pay within three standard deviations.
Since we know that 95% of the prices paid fall within two standard deviations of the mean, we can say that the distance between the mean and the upper or lower limit of this range is equal to two standard deviations. This is also known as the "95% confidence interval."
Therefore, to find the standard deviation, we can calculate the distance between the mean and either the upper or lower limit of the 95% confidence interval and then divide it by two.
From the figure, we can see that the 95% confidence interval extends from approximately $23,500 to $48,500. The midpoint of this interval is approximately $36,000, which we can take as the mean.
So, the distance between the mean and either end of the 95% confidence interval is:
$48,500 - $36,000 = $12,500
Dividing this by two gives us the standard deviation:
$12,500 / 2 = $6,250
Therefore, the standard deviation for the prices paid for this particular model of car is $6,250.
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The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour. Phillip’s Driving Time and Distance Miles Hours 195 3 260 4 325 5 How many miles did he travel each hour? 39 miles per hour 52 miles per hour 65 miles per hour 81 miles per hour
Answer:
65 mph
Step-by-step explanation:
divide
ex: 195 ÷ 3 = 65mph
260 ÷ 4 = 65mph
Answer:
c
Step-by-step explanation:
olve the Ordinary Differential Equation y + 2y + 5y = e' sin(t) when y(0) = 0 and y(0) = 1.(Without solving for the constants we get in the partial fractions) Select one: A. e[Acost + Al sint + Bcos(20) + (mpsin(26)] B. e' (Acost + Alsint + Boos(26) +(B1) sin(26)] C. e(Acost + Alsint + Bcos(26) + sin(20) D. e '[Acost + Alsint + Bcos (28) + Bisin (24) E. None of the options Clear my choice 2
None of the given options matches this general solution, so the answer is E. None of the options.
To solve the given ordinary differential equation:
y'' + 2y' + 5y = e^t sin(t)
We first find the characteristic equation:
r^2 + 2r + 5 = 0
Using the quadratic formula, we find the roots to be:
r = (-2 ± sqrt(4 - 4(1)(5))) / 2
r = -1 ± 2i
The characteristic equation has complex roots, so the general solution is:
y(t) = e^(-t)(Acos(2t) + Bsin(2t))
Next, we find the particular solution by guessing a solution of the form:
y_p(t) = Ae^t sin(t) + Be^t cos(t)
Taking the first and second derivatives, we get:
y_p'(t) = Ae^t sin(t) + Ae^t cos(t) + Be^t sin(t) - Be^t cos(t)
y_p''(t) = 2Ae^t cos(t) - 2Be^t sin(t)
Substituting these expressions into the original equation and simplifying, we get:
(2A - B) e^t sin(t) + (-2B - A) e^t cos(t) = e^t sin(t)
We need the coefficients of e^t sin(t) and e^t cos(t) to be equal to 1 and 0, respectively, in order to obtain a particular solution. This gives us the system of equations:
2A - B = 1
-2B - A = 0
Solving for A and B, we get:
A = 1/5
B = -2/5
Therefore, the particular solution is:
y_p(t) = (1/5) e^t sin(t) - (2/5) e^t cos(t)
The general solution is then the sum of the homogeneous and particular solutions:
y(t) = e^(-t)(Acos(2t) + Bsin(2t)) + (1/5) e^t sin(t) - (2/5) e^t cos(t)
To solve for the constants A and B using the initial conditions, we can substitute y(0) = 0 and y'(0) = 1 into the general solution and solve the resulting system of equations. However, since the question asks us to avoid solving for the constants, we can simply write the general solution as:
y(t) = e^(-t)(Acos(2t) + Bsin(2t)) + e^t (Csin(t) + Dcos(t))
where A, B, C, and D are constants that we do not need to solve for.
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l2x-2l = 8
what are the solutions of the equations
Answer:
x=5
Step-by-step explanation:
The absolute value is positive, so the equation stays the same:
2x-2=8
Add 2 on both sides:
2x=10
Solve:
x=5
Answer:
x=29/12
Step-by-step explanation:
Let's solve your equation step-by-step.
12x−21=8
Step 1: Add 21 to both sides.
12x−21+21=8+21
12x=29
Step 2: Divide both sides by 12.
12x/12 = 29/12
x=29/12
How would I put the diameter in radius form? (That's all I need to know. I can complete the problem from there)
Diameter can be converted into radius form by dividing it by 2. This is because the diameter is the distance across a circle passing through the center point, whereas the radius is the distance from the center point to any point on the edge of the circle.
Therefore, to convert the diameter to radius form, we need to find the radius, which is half the diameter. In other words, the radius is equal to the diameter divided by 2. This is a simple formula that can be used to convert any given diameter into radius form.
The diameter of a circle is the distance across the circle through its center. The radius is the distance from the center to any point on the circle. Since the diameter passes through the entire circle, it covers two radius lengths.
If "d" represents the diameter, you can find the radius "r" by using the formula:
r = d/2
So, just divide the diameter by 2 to get the radius form.
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A semi circle is drawn on each side of the square as shown the square has sides length of 2 pi what is the area of the resulting shape
Step-by-step explanation:
First you find out the area of the square.
Then you find the area of the circle.
After this you add the Two area together.
Please help me solve the question from below. It is from IM3 Algebra
The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:
log₂(x - 1) = x³ - 4x
Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.
For the point (2, 0):
log₂(2 - 1) = 2³ - 4(2)
log₂(1) = 8 - 8
0 = 0
The equation holds true for the point (2, 0), so (2, 0) is one solution.
For the point (1.1187, -3.075):
log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)
log₂(0.1187) = 1.4013 - 4.4748
-3.075 = -3.0735 (approx.)
The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.
Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
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My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
A bus driver made 100 stops on his route in 5 days. The double number line shows the relationship between the number of stops and the number of days. What is the rate of stops per day? What is the unit rate?
Answer: 20 stops a day
Unit rate:20
Step-by-step explanation: since the number of stops is 20 times the number of days, the rate is 20 stops per day so the unit rate is 20