Answer:
area is 14884 yards and perimeter is 488 yards.
Step-by-step explanation:
equation for area is width×height and equation for perimeter for a square is length×4
D.
A
B.
A sidewalk in the shape of two triangles, a rectangle, and a square
was built around the edge of a building as shown.
108 ft²
T
6 ft
162 ft²
144 ft²
180 ft²
11
6 ft
What is the area of the sidewalk in square feet?
11
18 ft
30 ft
The area of the sidewalk is 388 square feet.
How to find the area of the sidewalkTo find the area of the sidewalk you can find the area of each individual shape and add them together.
Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.
Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.
Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.
Area of the square = 11 ft x 11 ft = 121 sq. ft.
Therefore, the total area of the sidewalk is:
33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.
So, the area of the sidewalk is 388 square feet.
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Use the graph below to find the following:
A) what is the slope of the line?
B) what is the y intercept of the line?
C) what is the equation of the line in slope intercept form?
A rubber ball is dropped from a height of 10 feet onto a hard surface. After the first bounce, the ball is 6 feet in the air and continues to follow a sequence of bounces. Assume the distances from the ground form a geometric sequence. What is the total DOWNWARD vertical distance the ball has traveled after it hits the surface the 5th time?
Answer:
The total DOWNWARD vertical distance the ball has traveled after it hits the surface the 5th time is 23.056 feet.
Step-by-step explanation:
Geometric sequence:
The nth term is a product of the previous(nth-1) term and the common ratio. That is:
\(a_n = qa_{n-1}\)
In which q is the common difference.
Sum of the first n terms of geometric sequence:
The sum of the first n terms of a geometric sequence is given by:
\(S_n = \frac{a_1(1-q^n)}{1-q}\)
A rubber ball is dropped from a height of 10 feet onto a hard surface.
This means that \(a_1 = 10\)
The ball is 6 feet in the air and continues to follow a sequence of bounces
This means that \(q = \frac{6}{10} = 0.6\)
What is the total DOWNWARD vertical distance the ball has traveled after it hits the surface the 5th time?
This is \(S_5\). So
\(S_5 = \frac{10(1-0.6^5)}{1-0.6} = 23.056\)
The total DOWNWARD vertical distance the ball has traveled after it hits the surface the 5th time is 23.056 feet.
Please help me I need to turn in tomorrow
Answer:
D. 0.5
Step-by-step explanation:
There are 4 groups
1. Alto
2. Bass
3. Tenor
4. Soprano
The question says "what is the probability that this member comes from the alto section"
Since there are 4 groups, I did 4/8 (since there are 8 people in Alto) and I got 0.5.
Hope I got it right and it helped you
*Note* I most likely got it right I just doubt myself too much lol
But just in case, I hope I got it right.
Answer:
there are 4 parts in that choir and the alto members are 8 in number so we say those in alto divided by the number of parts, we get→ 4÷8 =0.5, that's the ans.
In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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A recipe for 1 batch of muffins calls for 3/4 cups of almond milk. Rose has 6 cups of almond milk. How many batches of muffins could she make
Answer:
8
Step-by-step explanation:
3/4 cup leaves 1/4 cup from each cup
1/4+1/4+1/4=3/4
so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups
MATH QUESTION SCREEN SHOT DOWN BELOW
What is the lateral surface area of the triangular prism below?
The lateral surface area of the triangular base prism is 288 m².
How to find the lateral area of a triangular prism?The lateral area of the triangular base prism can be found as follows:
Lateral area of the triangular base prism = (a + b + c)h
where
a, b and c are the side of the triangleh = height of the prismTherefore,
a = 7 m
b = 8 m
c = 9 m
h = 12 m
Therefore,
Lateral area of the triangular base prism = (7 + 8 + 9)12
Lateral area of the triangular base prism = 24 × 12
Lateral area of the triangular base prism = 288 m²
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Thank you for taking the time out of your day to help me. Appreciate it.
Answer:
calculator gave me 6.5732
Step-by-step explanation:
Given the following sets, find the set (A U B) n (AUC).
U= {1, 2, 3, ..., 10}
A=(2, 5, 7, 10}
B = {1, 2, 3)
C={1, 2, 3, 4, 5}
The set (A U B) n (A U C) is {2, 5, 7, 10}. A.
To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.
Set A U B:
The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.
A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.
A U B consists of the elements {1, 2, 3, 5, 7, 10}.
Set (A U B) U C:
Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.
Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.
Finding the intersection:
Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.
The intersection of these two sets is the combination of common elements.
The common elements are {2, 5, 7, 10}.
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A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 respondents, 1414% chose chocolate pie, and the margin of error was given as plus or minus±33 percentage points. Given specific sample data, which confidence interval is wider: the 9999% confidence interval or the 8080% confidence interval? Why is it wider?
Answer:
99% confidence interval is wider as compared to the 80% confidence interval.
Step-by-step explanation:
We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.
Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as plus or minus ±3 percentage points.
The pivotal quantity for the confidence interval for the population proportion is given by;
P.Q. = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, \(\hat p\) = sample proportion of adults who chose chocolate pie = 14%
n = sample of adults = 500
p = true proportion
Now, the 99% confidence interval for p = \(\hat p \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }\)
Here, \(\alpha\) = 1% so \((\frac{\alpha}{2})\) = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.
Also, Margin of error = \(Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }\) = 0.03 for 99% interval.
So, 99% confidence interval for p = \(0.14 \pm2.5758 \times \sqrt{\frac{0.14(1-0.14)}{500} }\)
= [0.14 - 0.03 , 0.14 + 0.03]
= [0.11 , 0.17]
Similarly, 80% confidence interval for p = \(0.14 \pm 1.2816 \times \sqrt{\frac{0.14(1-0.14)}{500} }\)
Here, \(\alpha\) = 20% so \((\frac{\alpha}{2})\) = 10%. So, the critical value of z at 10% significance level is 1.2816.
Also, Margin of error = \(Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }\) = 0.02 for 80% interval.
So, 80% confidence interval for p = [0.14 - 0.02 , 0.14 + 0.02]
= [0.12 , 0.16]
Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.
If you buy a computer directly from the manufacturer for $3500 and
agree to repay it in 60 equal installments at 1.75% interest per month
on the unpaid balance, how much are your monthly payments? How
much total interest will be paid?
Answer: To calculate the monthly payment, we need to use the formula for the equal monthly installment for a loan with constant payments and interest:
P = (r * PV) / (1 - (1 + r)^-n)
where:
P = monthly payment
r = monthly interest rate
PV = present value (the initial loan amount)
n = total number of payments
In this case, PV = $3500, n = 60, and r = 1.75% per month.
First, we can calculate the monthly interest rate by dividing the annual rate by 12:
r = 1.75% / 100% / 12 = 0.0175/12
Plugging in the values, we get:
P = (0.0175/12 * $3500) / (1 - (1 + 0.0175/12)^-60)
P = $69.92 (rounded to two decimal places)
So the monthly payment is $69.92.
To calculate the total interest paid, we can subtract the initial loan amount from the total of all payments:
Total interest = (P * n) - PV
Total interest = ($69.92 * 60) - $3500
Total interest = $195.20
So the total interest paid is $195.20.
Step-by-step explanation:
Answer: The total interest paid is $1186.
Step-by-step explanation: The first step is to calculate the monthly interest rate:
1.75% per month can be written as 0.0175 in decimal form.
Next, we can use the formula for the monthly payment of a loan:
P = r(PV) / [1 - (1+r)^(-n)]
Where:
P = monthly payment
r = monthly interest rate
PV = present value of the loan
n = total number of payments
Plugging in the given values, we get:
P = 0.0175(3500) / [1 - (1+0.0175)^(-60)]
= 78.10
Therefore, your monthly payments are $78.10.
To calculate the total interest paid, we can multiply the monthly payment by the number of payments and subtract the original loan amount:
Total interest = (60 x 78.10) - 3500
= 4686 - 3500
= $1186
Therefore, the total interest paid is $1186.
What is the slope of a line that is parallel to the line shown on the graph?
Answer:
I'm 98% sure its c. 1/4
Step-by-step explanation:
in order for a line to be parallel to another they have to be on different y intercepts but have the same slope causing them to never intersect.
the slope of the graph on the line is 1/4 because of rise over run
Answer:
The slope that is parallel is 1/4
Step-by-step explanation:
Parallel line have the same slope. Hope this help!
50% OFF!
Rebecca buys a fancy watch during the sale. If Rebecca pays $24, what was the original price?
Answer: 48
Step-by-step explanation: Do 24 divided by 0.50 which will give you 48
P.S. Hope this helps!
Answer:
$48
Step-by-step explanation:
100%-50%=50%
50%=24
100%=24x2=48
Hope this helps! Thanks
A garden has only tomato and cucumber plants. There are 12 tomato plants and 5 cucumber plants.
What is the ratio of the number of cucumber plants to the total number of plants?
Enter your answer by filling in the boxes.
The ratio of cucumber plants to the total number of plants is 5:17.
What is the ratio?We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part-to-part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.
Given the number of tomato plants = 12
number of cucumber plants = 5
total number of plants = 12 + 5 = 17
and the ratio of the number of cucumber plants to the total number of plants
= (number of cucumber plants)/(total number of plants)
= 5/17
the symbol of the ratio is ":"
= 5:17
Hence the ratio of the condition is 5:17.
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A rectangle has a length of x + 2 and a width of x-2, and
has an area of 60 square units. Find the length and width
of the rectangle.
Answer:
L = 10, W = 6
Step-by-step explanation:
(x-2)(x+2) = 60
\(x^{2}\) - \(2^{2}\) = 60
\(x^{2}\) = 60 + 4 = 64
x = \(\sqrt{64}\) = 8 or -8
-8 rejected
thus length is 8 + 2 = 10, width is 8-2=6
The length is 10 units and width is 6 units.
Length = x+2
Width = x-2
Area = 60
Area = Length × Width
Therefore, (x+2)(x-2) = 60
x²-2x+2x - 4 = 60
Collect like terms
x² = 60+4.
x² = 64.
Therefore, in order to get the value of x, we'll find the square root of 64
x² = 64.
x = ✓64
x = 8
Length = = x+2 = 8+2 = 10
Width = x-2 = 8-2 = 6
In conclusion, the length is 10 units and width is 6 units.
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8)Which value could be the largest whole number that could equal the
length of the missing side in the picture?
Plz help I will give brainliest
Answer:
10
Step-by-step explanation:
take 6-5=1
6+5=11
These are the parameters of a triangle. If the third side length is equal to 11 then that is impossible.
1<x<11
So the largest value for x would be 10
Hope that helps :)
I am a polygon that has two pairs of opposite sides that are parallel what am I
A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!
What are the vocabulary words for the other pairs (-2,0),(2,0)
Answer: Quadrant 3 and Quadrant 1
Step-by-step explanation:
For the diagram shown, find the measures of angles 4,5, and 6.
Answer:
wheres the diagram???
Step-by-step explanation:
26
11°
X
130
(Round the answer to the nearest hundredth.)
The length of side x is
15319
Gaveart
067295
The length of side x is approximately 24.87, rounded to the nearest hundredth.
how can we find side of the triangle?
To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:
sin(11°) = opposite side/hypotenuse
Rearranging this equation, we get:
opposite side = sin(11°) * hypotenuse
We know that the hypotenuse has a length of 130, so we can substitute that in:
opposite = sin(11°) * 130
Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:
opposite = 0.1919 * 130
Simplifying this expression, we get:
opposite ≈ 24.87
Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.
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A botanist planted 40 seeds and 32 sprouted. What percent of the seeds planted did NOT sprout?
Answer:
20%
Step-by-step explanation:
In May 2010, the Pew Research Center for the People & the Press carried out a national survey to gauge opinion on the Arizona Immigration Law. Responses (Favor, Oppose, Don’t Know) were examined according to groups defined by political party affiliation (Democrat, Republican, Independent). Which of the following would be appropriate for displaying these data?
a. Pie charts
b. Segmented bar chart.
c. Side by side bar chart.
d. Contigency table
Explanation:
It's most effective to use a contingency table because we have two variables here: 1) the responses, and 2) the party affiliation.
We can have the responses along the rows and the party affiliation along the columns, or vice versa.
See the example below. The values are completely random simply for the purpose of the example (and not drawn from any real life data source).
As per the given options, the appropriate for the displaying these data will be contingency table. Hence, option D is correct.
What is a Pie chart?A pie chart is a visual depiction of information in the shape of a pie, where the pieces of the pie represent the magnitude of the data. To depict data as a pie chart, you need a list of quantitative variables as well as categorical variables.
As per the given information in the question,
A contingency table in statistics is a particular kind of matrix-style table that shows the frequency of the variables. They are extensively utilized in scientific, engineering, business intelligence, and survey research.
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\(f(x)=x^{2} +2x-24\)
College level Trigonometry any help will do!!
The magnitude of the resultant force is approximately 9.07 lb.
We have,
To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:
B (11 lb)
/|
/ |
/ |
/ |
/ |
/ |
/θ |
/ |
A (7 lb) |
\ |
\ |
\ |
\ |
\ |
\ |
\ |
\|
C
where A and B are the magnitudes of the given forces, and θ is the angle between them.
Using the parallelogram rule, we draw a parallelogram with sides AB and BC:
B (11 lb)
/|
/ |
/ |
/ |
/ |
/ |
/θ |
/ |
A (7 lb) D
\ |
\ |
\ |
\ |
\ |
\ |
\ |
\|
C
The diagonal BD represents the magnitude and direction of the resultant force.
To find its magnitude, we use the Law of Cosines:
BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)
BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)
BD^2 = 49 + 121 - 2(77)cos(133 degrees)
BD^2 = 170 - 154cos(133 degrees)
BD ≈ 9.07 lb (rounded to two decimal places)
Therefore,
The magnitude of the resultant force is approximately 9.07 lb.
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7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?
Answer:
x=28.7
Step-by-step explanation:
I just answered the question.
Julie used chalk to write numbers on the chairs for field day. She marked the number 4 on the first chair. Her rule was add 5. What numbers did she write on the first six chairs?
Answer:
4 9 14 19 24 29
Step-by-step explanation:
Answer:
The numbers she wrote on the first six chair's were 9,14,19,24,29,34
Step-by-step explanation:
If your first chair is 4 you would want to add 4 and 5 to get 9 and add 5 to 9 to get every sum you get until you get the first six chairs
A small startup company wishes to know how many hours, per week, that it's employees spend commuting to and from work. The number of hours for each employee are shown below. Construct a frequency table for grouped data using four classes.
1,2,18,4,13,18,12,3,17,10,3,12,15,2 15,8,5,17,18,18
The frequency table for grouped data using four classes is shown in the picture.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
We have:
A small startup company wishes to know how many hours, per week.
The number of hours for each employee are shown below:
1,2,18,4,13,18,12,3,17,10,3,12,15,2 15,8,5,17,18,18
Make the group of 1-5, 6-10, 11-15, and 16-20
And count the numbers lies between the interval.
Thus, the frequency table for grouped data using four classes is shown in the picture.
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st
Levon Yeghoyan
Janice bought a computer. She paid $780.00 plus sales tax. The sales
tax was 4%. How much did she pay in sales tax?
A $312.00
B
$31.20
с
$3.12
D
$0.31
How do I figure out how many faces are glued together?