Since the limit of the ratio is less than 1 (1/3 < 1), the series is absolutely convergent (Option A). To determine the convergence of the series, we can use the Ratio Test. The series in question is:
Σ (3n² + 3) / (3n³ + 1)
First, we find the ratio between consecutive terms:
R = (a_(n+1)) / a_n = ((3(n+1)² + 3) / (3(n+1)³ + 1)) / ((3n² + 3) / (3n³ + 1))
R = (3(n+1)² + 3)(3n³ + 1) / ((3n² + 3)(3(n+1)³ + 1))
Now, as n goes to infinity:
lim (n -> ∞) R = lim (n -> ∞) (9n² + 6n + 3)(3n³ + 1) / (9n² + 3)(9n³ + 3n² + 3n + 1)
In this case, the highest power of n in the numerator and denominator is n⁵. To simplify, we can divide both the numerator and denominator by n⁵:
lim (n -> ∞) (9 + 6/n + 3/n²)(3 + 1/n²) / (9 + 3/n)(9 + 3/n² + 3/n + 1/n³)
As n approaches infinity, the terms with n in the denominator approaches zero:
lim (n -> ∞) (9)(3) / (9)(9) = 27 / 81 = 1/3
Since the limit of the ratio is less than 1 (1/3 < 1), the series is absolutely convergent (Option A).
To determine whether the series 3n² + 3n³ +1 is absolutely convergent, conditionally convergent, or divergent, we can use the ratio test.
Using the ratio test, we have:
lim n→∞ |(3(n+1)² + 3)/(3n² + 3n³ +1)
= lim n→∞ |(3n² + 6n + 3)/(3n³ + 3n² +1)
= lim n→∞ |(n² + 2n + 1)/(n³ + n²)
= 0
Since the limit is less than 1, the series is absolutely convergent. Therefore, the answer is A. Absolutely convergent.
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Let x1 > 1 and xn+1 := 2−1/xn for n ∈ N. Show that xn is bounded and monotone. Find the limit. Prove by induction
We have shown that xn is bounded and monotone increasing, and its limit is √2. First, we will show that xn is bounded and monotone increasing by induction:
Base Case: For n = 1, we have x1 > 1, which is true.
Inductive Hypothesis: Assume that xn > 1 for some n = k and show that xn+1 > xn for n = k.
Inductive Step:
We have xn+1 := 2−1/xn
Since xn > 1, we have 1/xn < 1
Therefore, 2−1/xn > 2−1/1 = 1/2
So, xn+1 > 1/2
Since xn > 1, we have xn+1 = 2−1/xn < 2−1/1/ = 1
So, 1/2 < xn+1 < 1
Therefore, xn is bounded and monotone increasing.
Next, we will find the limit of xn as n → ∞:
Let L = lim xn as n → ∞
Then, taking the limit on both sides of xn+1 = 2−1/xn, we get:
L = 2−1/L
Multiplying both sides by L, we get:
L2 = 2−1
Solving for L, we get:
L = ±√2
Since xn > 1 for all n, we have L > 1. Therefore, L = √2.
Thus, we have shown that xn is bounded and monotone increasing, and its limit is √2.
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Amelia is saving up to buy a new phone. She already has $100 and can save an
additional $9 per week using money from her after school job. How much total
money would Amelia have after 6 weeks of saving? Also, write an expression that
represents the amount of money Amelia would have saved in w weeks.
The expression that represents the amount of money Amelia would have saved in w weeks is: $9w + $100
Amelia starts with $100 and saves an additional $9 per week for 6 weeks. To find the total amount of money she has after 6 weeks, you can use this formula:
Total money = Initial amount + (Weekly savings × Number of weeks)
Total money = $100 + ($9 × 6)
Total money = $100 + $54
Total money = $154
So, Amelia would have $154 after 6 weeks of saving.
For an expression representing the amount of money Amelia would have saved in w weeks:
Total money (w) = $100 + ($9 × w)
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Solve the system of equation and explain geometrically how you know that your answers are solutions to the system. x^2+y^2 =100 and 3x - y = 30 how you know
The solution of the system of equations is given by the ordered pairs [10, 0] and [8, -6].
How to graphically solve this system of equations?In order to graphically solve the given system of equations on a coordinate plane, we would use an online graphing calculator to create a plot of the system of equations and then determine their point of intersection;
x² + y² = 100 ......equation 1.
3x - y = 30 ......equation 2.
Based on the graph shown in the image attached above, we can reasonably infer and logically deduce that the solution to this system of equations lies in both Quadrant I and Quadrant IV, and it is represented by this ordered pairs (10, 0) and (8, -6).
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Kennedy makes $7 per hour babysitting. Hours (h) dollars (d) 1 7 2 14 3 21 4 28 which equation represents the amount kennedy makes babysitting? 7 = hd h = 7d d = 7h h = d
The correct equation represents the amount Kennedy makes babysitting is,
⇒ d = 7h
We have to given that,
Kennedy makes $7 per hour babysitting.
Let us assume that,
'h' represent the number of hours
And, d represent amount in dollars.
Hence, By given condition, we get;
⇒ d = 7h
Thus, The correct equation represents the amount Kennedy makes babysitting is,
⇒ d = 7h
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The formula that Kennedy uses to calculate how much money she makes babysitting is:d = 7h
We have,
Kennedy makes $7 per hour babysitting.
let "d" represents the amount of dollars Kennedy makes, and "h" represents the number of hours she babysits.
Since Kennedy earns $7 per hour, the equation can be written as
d = 7h
which relates the dollars earned (d) to the number of hours worked (h).
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A credit card had a APR of 33. 01% all of last year and compounded interest daily. What was the credit card’s effective interest rate last year?
The credit card's effective interest rate for the year is [tex]40.51%.[/tex]%
To solve this problemWe can use the following formula:
Effective annual interest rate is calculated as[tex](1 + APR/365)365 - 1.[/tex]
The interest is compounded everyday in this case and the APR is 33.01 percent. When we enter these values into the formula, we obtain:
Effective annual interest rate =[tex](1 + 0.3301/365)^365 - 1[/tex]
Effective annual interest rate =[tex]1.4051 - 1[/tex]
Effective annual interest rate =[tex]1.4051 - 1[/tex]
So the credit card's effective interest rate for the year is[tex]40.51%.[/tex]%
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(v) v³ - 48v + 6
The critical numbers are 4, -4.
To find the critical numbers of the function g(v) = v³ - 48v + 6, follow these steps:
1. Find the derivative of the function, g'(v).
2. Set g'(v) equal to 0 and solve for v.
3. List the critical numbers as a comma-separated list.
Step 1: Find the derivative of the function.
g(v) = v³ - 48v + 6
Using the power rule, the derivative is:
g'(v) = 3v² - 48
Step 2: Set g'(v) equal to 0 and solve for v.
3v² - 48 = 0
Divide both sides by 3:
v² - 16 = 0
Factor the equation:
(v - 4)(v + 4) = 0
Solve for v:
v = 4, -4
Step 3: List the critical numbers.
The critical numbers of the function g(v) = v³ - 48v + 6 are v = 4, -4.
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Give your answer accurate to 3 decimal places.
Claire starts at point A and runs east at a rate of 12 ft/sec. One minute later, Anna starts at A and runs north at a rate of 7 ft/sec. At what rate (in feet per second) is the distance between them changing after another minute?
______ft/sec
Solving for dz/dt, we get:
dz/dt ≈ 11.650 ft/sec.
So, after another minute, the distance between Claire and Anna is changing at a rate of approximately 11.650 ft/sec.
Hi there! To answer this question, we can use the Pythagorean theorem and implicit differentiation. Let x be the distance Claire runs east and y be the distance Anna runs north. After 1 minute, Claire has already run 12 * 60 = 720 ft. After another minute, x = 720 + 12t, and y = 7t.
Now, we can set up the Pythagorean theorem: x^2 + y^2 = z^2, where z is the distance between them. Substituting the expressions for x and y, we get (720 + 12t)^2 + (7t)^2 = z^2.
To find the rate at which the distance between them is changing (dz/dt), we need to differentiate both sides of the equation with respect to time, t:
2(720 + 12t)(12) + 2(7t)(7) = 2z(dz/dt).
Now, we can plug in the values for t = 2 minutes:
2(720 + 24)(12) + 2(14)(7) = 2z(dz/dt).
Simplifying, we get:
34560 + 392 = 2z(dz/dt).
After 2 minutes, Claire has run 12(120) = 1440 ft, and Anna has run 7(60) = 420 ft. Using the Pythagorean theorem, we can find z:
z = √(1440^2 + 420^2) ≈ 1500 ft.
Now we can find dz/dt:
34952 = 2(1500)(dz/dt).
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17. Cylinder A is similar to Cylinder B with a scale
factor of 3:7. If the surface area of Cylinder A
is 153 cm², find the surface area of Cylinder B.
The value of the surface area of Cylinder B is, 357 cm²
We have to given that;
Cylinder A is similar to Cylinder B with a scale factor of 3:7.
And, the surface area of Cylinder A.
Let us assume that,
The value of the surface area of Cylinder B is, y.
Hence, We can formulate;
3x : 7x = 153 : y
By comparing,
3x = 153
x = 51
Thus, The value of the surface area of Cylinder B is,
y = 7x
y = 7 x 51
y = 357 cm²
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You travel east 10 miles on an adventure, then south 14 miles. You realize you don't want to go on an adventure, so you decide to go directly back where you started your adventure. Assuming the most direct path is walking in a straight line back home, how many miles will you have to walk back home.
Round to the nearest tenth.
you will have to walk approximately 17.2 miles back home.
A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. the length of the hypotenuse. Right triangles have many important applications in mathematics, science, and engineering, particularly in trigonometry, which is the study of the relationships between the sides and angles of triangles.
You have formed a right triangle with legs of length 10 and 14. To find the length of the hypotenuse, which is the distance back to your starting point, we can use the Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 10^2 + 14^2[/tex]
[tex]c^2 = 100 + 196[/tex]
[tex]c^2 = 296[/tex]
c = sqrt(296)
c ≈ 17.2
Therefore, you will have to walk approximately 17.2 miles back home.
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Geometry in circle p, m2=m1, m2= 4x + 35, m1= 9x +5 find :
need help!
Based on the given information, we can set up an equation using the fact that the measures of angles m1 and m2 are equal in circle P.
m1 = m2
Substituting the given values:
9x + 5 = 4x + 35
Solving for x:
9x - 4x = 35 - 5
5x = 30
x = 6
Now that we have found the value of x, we can substitute it back into the expressions for m1 and m2 to find their measures:
m1 = 9x + 5 = 9(6) + 5 = 59
m2 = 4x + 35 = 4(6) + 35 = 59
Therefore, both angles have a measure of 59 degrees.
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Alexandra rolls a standard six-sided die, numbered from 1 to 6. which word or phrase describes the probability that she will roll a number between 1 and 6 ( including 1 and 6)?
The probability that Alexandra will roll a number between 1 and 6, including 1 and 6, on a standard six-sided die can be described as "certain" or "100%."
Here's a step-by-step explanation:
1. A standard six-sided die has six faces, numbered from 1 to 6.
2. When rolling the die, each face has an equal chance of landing face up.
3. The question asks for the probability of rolling a number between 1 and 6, which includes all the possible outcomes (1, 2, 3, 4, 5, and 6).
4. Since all outcomes are covered, the probability of this event occurring is 100% or certain.
Therefore, the word or phrase that describes this probability is "certain" or "100%."
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A data set has 25 and standard deviation 5 find the z-score of each value , 39,18,125,25,11
The z-score of 39 is 2.8, the z-score of 18 is -1.4, the z-score of 125 is 20, the z-score of 25 is 0, and the z-score of 11 is -2.8.
How to calculate the z-score?To calculate the z-score of each value, we will use the formula:
z = (x - mean) / standard deviation
where x is the value, mean is the mean of the data set, and standard deviation is the standard deviation of the data set.
Given the data set has a mean of 25 and a standard deviation of 5, we can calculate the z-score for each value as follows:
For x = 39:
z = (39 - 25) / 5 = 2.8
For x = 18:
z = (18 - 25) / 5 = -1.4
For x = 125:
z = (125 - 25) / 5 = 20
For x = 25:
z = (25 - 25) / 5 = 0
For x = 11:
z = (11 - 25) / 5 = -2.8
Therefore, the z-score of 39 is 2.8, the z-score of 18 is -1.4, the z-score of 125 is 20, the z-score of 25 is 0, and the z-score of 11 is -2.8.
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Find the value of x
Hellpppp
Explanation is in the image!
Solid cylinders A and B are similar and made from metal. 72.8% more metal is used to make cylinder B than cylinder A. The surface area of cylinder A is 700cm². Work out the surface area of cylinder B
If the surface area of cylinder A is 700cm², the surface area of cylinder B is 1612.8cm².
Since the two cylinders are similar, their dimensions are proportional to each other. Let the height and radius of cylinder A be h and r, respectively, and let the height and radius of cylinder B be kh and kr, respectively, where k is the scale factor.
Since cylinder B uses 72.8% more metal than cylinder A, we have:
Volume of cylinder B = 1.728 times the volume of cylinder A
Using the formula for the volume of a cylinder, we have:
π(kr)²(kh) = 1.728πr²h
Simplifying the equation, we get:
k³ = 1.728
k = 1.2
So the scale factor is 1.2. Therefore, the height and radius of cylinder B are 1.2 times those of cylinder A. Hence, we have:
Surface area of cylinder B = 2π(1.2r)² + 2π(1.2r)(1.2h)
= 2.304(2πrh)
= 2.304(700cm²)
= 1612.8cm²
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Mary’s dog weighed 25 kg, but then it got sick and lost 2. 3 kg. A What percentage of body weight did the dog lose? B Mary weighs 58 kg. If Mary lost the same percentage of her body weight as what the dog did, how much would Mary weigh?
The percentage of body weight the dog lost is 9.2%. Mary would weigh 52.664 kg after losing the same percentage of body weight as her dog.
A) To find the percentage of body weight the dog lost, first, calculate the actual weight loss: 25 kg - 2.3 kg = 22.7 kg. Then, divide the weight loss (2.3 kg) by the original weight (25 kg) and multiply by 100 to get the percentage: (2.3 kg / 25 kg) * 100 = 9.2%.
B) If Mary lost the same percentage of her body weight as the dog did, she would lose 9.2% of her weight. To calculate this, multiply her original weight (58 kg) by the percentage (9.2%): 58 kg * 0.092 = 5.336 kg. Now, subtract this weight loss from her original weight to find her new weight: 58 kg - 5.336 kg = 52.664 kg. So, Mary would weigh 52.664 kg after losing the same percentage of body weight as her dog.
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Question 2 of 10
What are the dimensions of AB?
A. 3x2
B. 3x3
C. 2x3
D. 2 x 2
Answer:
Based on the image, we can see that matrix A is a 3x2 matrix, and matrix B is a 2x3 matrix. In order to multiply matrices A and B, the number of columns in matrix A must match the number of rows in matrix B.
Since matrix A has 2 columns and matrix B has 2 rows, we can multiply them together, resulting in a 3x3 matrix. Therefore, the answer is B. The dimensions of AB are 3x3.
I DONT NEED BRAINLEST JUST STAY FUN AND SAFEAns. (c) 2X3
Dimension of matrix is given by row x column
|x-3|+|x+2|-|x-5| if 3
|x-3|+|x+2|-|x-5| if x<-2
|x-3|+|x+2|-|x-5| if -2
pls help
i will give brainliest
|x-3|+|x+2|-|x-5| can be broken down into three separate cases based on the value of x:
(x-3) + (x+2) - (x-5) = 2x + 4
(x-3) + (x+2) - (5-x) = 2x - 6
-(x-3) - (x+2) - (5-x) = -3x - 4
We break down the expression into three separate cases based on the value of x. This is because the absolute value function creates "turning points" at which the behavior of the expression changes. We analyze the expression for each case and simplify it to obtain the final answer. The answer depends on the value of x, and we must consider the expression separately for each case.
If x ≥ 5, then the expression becomes:
(x-3) + (x+2) - (x-5) = 2x + 4
If -2 ≤ x < 3, then the expression becomes:
(x-3) + (x+2) - (5-x) = 2x - 6
If x < -2, then the expression becomes:
-(x-3) - (x+2) - (5-x) = -3x - 4
Therefore, the final answer depends on the value of x. If x is greater than or equal to 5, then the answer is 2x + 4. If x is between -2 and 3, then the answer is 2x - 6. And if x is less than -2, then the answer is -3x - 4.
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Convert the number 35/4 into decimal form rounded to the nearest hundred.
Answer: 8.75
Step-by-step explanation:
We know that 4 goes into 35 eight times.
35 - (4 * 8) = 3
Next, we know that 3/4 is equal to 0.75 by dividing.
This leaves us with 8.75. Eight wholes and a part of 0.75.
An educational psychologist wants to check claims that regular physical exercise improves academic achievement. To control for academic aptitude, pairs of college students with similar GPAs are randomly assigned to either a treatment group that attends daily exercise classes or a control group. At the end of the experiment, the following scores were reported for the six pairs of participants:
GPAs Pair number Physical Exercise No Physical exercise
1 4 3. 75
2 2. 67 2. 74
3 3. 65 3. 42
4 2. 11 1. 67
5 3. 21 3
6 3. 6 3. 25
7 2. 8 2. 65
Using t, test the null hypothesis at the. 01 level of significance Specify the p-value for this test result. If appropriate (because the test result is statistically significant), use Cohen’s d to estimate the effect size. How might this test result be reported in the literature?
The calculated t-value of 1.100 is less than the critical t-value of 2.718, we fail to reject the null hypothesis.
To test the hypothesis that regular physical exercise improves academic achievement, we will conduct a two-sample t-test for independent samples. The null hypothesis is that there is no difference in the mean academic achievement scores between the treatment group (physical exercise) and the control group (no physical exercise).
Let's calculate the mean and standard deviation for each group:
Treatment group (physical exercise):
mean = (4 + 2.67 + 3.65 + 2.11 + 3.21 + 3.6) / 6 = 3.3833
standard deviation = 0.7589
Control group (no physical exercise):
mean = (3.75 + 2.74 + 3.42 + 1.67 + 3 + 3.25 + 2.65) / 7 = 3.0071
standard deviation = 0.7037
We can now calculate the t-statistic:
t = (3.3833 - 3.0071) / sqrt((0.7589^2 / 6) + (0.7037^2 / 7)) = 1.100
The degrees of freedom for this test are 6 + 7 - 2 = 11 (assuming equal variances).
Using a t-table or a t-distribution calculator with 11 degrees of freedom and a significance level of 0.01, we find that the critical t-value is ±2.718.
Since the calculated t-value of 1.100 is less than the critical t-value of 2.718, we fail to reject the null hypothesis. We do not have enough evidence to conclude that regular physical exercise improves academic achievement.
The p-value for this test can be calculated as the probability of getting a t-value as extreme as 1.100, assuming the null hypothesis is true. Using a t-distribution calculator with 11 degrees of freedom, we find that the p-value is 0.294 (rounded to three decimal places).
Since the test result is not statistically significant (p > 0.01), we do not need to report an effect size using Cohen's d.
This test result could be reported in the literature as follows: "A two-sample t-test for independent samples was conducted to examine the effect of regular physical exercise on academic achievement, while controlling for academic aptitude. Six pairs of college students with similar GPAs were randomly assigned to either a treatment group that attended daily exercise classes or a control group. The mean academic achievement score for the treatment group was 3.3833 with a standard deviation of 0.7589, while the mean academic achievement score for the control group was 3.0071 with a standard deviation of 0.7037. The t-test result was not statistically significant (t(11) = 1.100, p = 0.294), indicating that there is not enough evidence to conclude that regular physical exercise improves academic achievement."
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Can somebody help me really quickly please
Answer: 77
Step-by-step explanation:
Bigger Rectangle = LW = 5x5 =25 There are 2 of those. =50
middl rectangle = LW = 5x3=15
triangles= 1/2 b h = 1/2 (3)(4) = 6 but therere are 2 so =12
Add up all shapes=50+15+12=77
The picture has the instructions.
The Gross Profit Margin Ratio for Frontier Art Gallery is 69.38%, calculated by dividing the Gross Profit by Net Sales and multiplying the result by 100 to get the percentage.
Gross Profit Margin Ratio is calculated by dividing the Gross Profit by Net Sales and multiplying the result by 100 to get the percentage
Gross Profit = Net Sales - Cost of Merchandise Sold
Gross Profit = $62,481.45 - $19,123.49
Gross Profit = $43,357.96
Gross Profit Margin Ratio = (Gross Profit / Net Sales) x 100
Gross Profit Margin Ratio = ($43,357.96 / $62,481.45) x 100
Gross Profit Margin Ratio = 69.38%
Therefore, the Gross Profit Margin Ratio for Frontier Art Gallery is 69.38%.
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URGENT!!!!
What is the probability that the card drawn is a black card or an eight?
Write your answers as fractions in the simplest form.
Face cards:
Red Hearts: 1♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
Red Diamonds: 1♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
Black Spades: 1♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
Black Clubs: 1♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
The length of the radius of a sphere is 6 inches. The length of the radius of a cone is 3 inches, and the height is 7 inches. What is the difference between the volume of the sphere and the volume of the cone?
The difference between the volume of the sphere and the volume of the cone is approximately 838.81 cubic inches.
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius. Thus, for a sphere with a radius of 6 inches, the volume is:
V_sphere = (4/3)π(6³) = 904.78 cubic inches
The volume of a cone is given by the formula V = (1/3)πr[tex]^{2h}[/tex], where r is the radius and h is the height. Thus, for a cone with a radius of 3 inches and a height of 7 inches, the volume is:
V_cone = (1/3)π(3²)(7) = 65.97 cubic inches
Therefore, the difference between the volume of the sphere and the volume of the cone is:
V_sphere - V_cone = 904.78 - 65.97 = 838.81 cubic inches
Hence, the difference between the volume of the sphere and the volume of the cone is approximately 838.81 cubic inches.
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Question
The figure is made up of a rectangle, 2 right triangles and a 3rd triangle.
What is the area of the figure?
Responses
46 in2
136 in2
34 in, 2
52 in2
The area of the polygon composed of rectangles and triangle is 52 in²
What is area?Area is the amount of space occupied by a two dimensional shape or object.
For the first right triangle:
base = 2 in, height = 6 in
Area of first right triangle = 1/2 * base * height = 0.5 * 2 in * 6 in = 6 in²
For the second right triangle:
base = 2 in, height = 6 in
Area of second right triangle = 1/2 * base * height = 0.5 * 2 in * 6 in = 6 in²
For the triangle:
base = (2 + 4 + 2) = 8 in, height = 4 in
Area of triangle = 1/2 * base * height = 0.5 * 8 in * 4 in = 16 in²
For the rectangle:
length = 4 in, width = 6 in
Area of rectangle = length * width = 4 in * 6 in = 24 in²
Area of polygon = 6 + 6 + 16 + 24 = 52 in²
The area of the polygon is 52 in²
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In the given diagram, L is the midpoint of KM
I need to find x, LM, and KM
Answer:
KM = 34
Step-by-step explanation:
Since L is the midpoint of KM that makes KL and LM equal. If LM and KL are congruent that means that the measure of KL is also 17. Therefore KM is just double 17 therefore being 34.
In a certain junior high school made the following expenses in raising a poultry farm: 3 large coops at ghc650 each, 1500 day old chicks at ghc75 for 100 chicks, 1000 bags of feed at ghc1.75 a bag, transport for conveying the 1000 bags of feed at 50gp per bag, druhs and vaccines at ghc120 , other expenses amounted to ghc13.60. a.) calculate the total expenditure
The total expenditure for raising the poultry farm is GHC 5458.60.
To calculate the total expenditure for raising the poultry farm, you need to sum up all the expenses:
1. Cost of 3 large coops at GHC650 each:
Total cost of coops = 3 coops * GHC650/coop
= GHC1950
2. Cost of 1500 day-old chicks at GHC75 for 100 chicks:
Total cost of chicks = (1500 chicks / 100 chicks) * GHC75
= GHC1125
3. Cost of 1000 bags of feed at GHC1.75 per bag:
Total cost of feed = 1000 bags * GHC1.75/bag
= GHC1750
4. Transport cost for conveying the 1000 bags of feed at 50gp (GHC 0.50) per bag:
Total transport cost = 1000 bags * GHC0.50/bag
= GHC500
5. Cost of drugs and vaccines at GHC120:
6. Other expenses amounted to GHC13.60.
Now, add up all these expenses to find the total expenditure:
= Cost of coops + Cost of chicks + Cost of feed + Transport cost + Cost of drugs and vaccines + Other expenses
= GHC1950 + GHC1125 + GHC1750 + GHC500 + GHC120 + GHC13.60
= GHC5458.60
So, the total expenditure is GHC5458.60.
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Consider circle o with diameter lm and chord pq.
if lm = 20 cm, and pq = 16 cm, what is the length of rm, in centimeters?
If circle has diameter lm and chord pq, lm = 20 cm, and pq = 16 cm, the length of RM is 10√2 centimeters.
In a circle, a diameter is a chord that passes through the center of the circle. Therefore, the point where the diameter and the chord intersect, in this case, point R, bisects the chord.
Since LM is a diameter, its length is twice the radius of the circle, which means LM = 2r. Thus, we can find the radius of the circle by dividing the diameter by 2: r = LM/2 = 20/2 = 10 cm.
Since point R bisects the chord PQ, RP = RQ = 8 cm (half of PQ). Thus, we need to find the length of RM. To do that, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we have a right triangle RLM with RM as the hypotenuse, so we can use the Pythagorean theorem as follows:
RM² = RL² + LM²
RM² = (10)² + (10)²
RM² = 200
RM = √200 = 10√2 cm
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Complete question is:
Consider circle o with diameter lm and chord pq.
if lm = 20 cm, and pq = 16 cm, what is the length of rm, in centimeters?
I need help with this problem.
Please and thank you.
Answer:
Step-by-step explanation:
Evaluate. (3/5)3 enter your answer by filling in the boxes.
the final answer is 27/125.
To evaluate [tex](3/5)^3[/tex], we simply need to multiply (3/5) by itself three times:
[tex](3/5)^3 = (3/5) * (3/5) * (3/5)[/tex]
To simplify, we can first multiply the numerators together and the denominators together:
[tex](3/5)^3 = 27/125[/tex]
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What’s the answer? I need help:)
Answer:
x=180-90-54, y=180-x,z=90
Step-by-step explanation:
the sum of the degree of a triangle will equal 180. the sum of the degree of a line will equal 180.