Answers
Answer:
279 ft²
Step-by-step explanation:
A=bh
A=16x16
A=256
Subtract the area of island
A=bh
A=3x7
A=21
256-21=235
Then you have to find the area of the trapezoid at the top, which is a reactangle and then two smaller triangles
A=bh
A=10x4
A=40
A=1/2bh
A=4x1x1/2
A=2
Multiply it by two because there are 2 of them
2x2=4
40+4=44
The area of the main part is 235 and the area of the side section is 44.
Add them together
235+44=279 ft²
Related Questions
Find the X-intercept of y=-4x^2+10x-3
Answers
The x-intercept of the equation y = 4x² + 10x - 3 is x = \(\frac{-5+\sqrt{37} }{4}\) or x = \(\frac{-5-\sqrt{37} }{4}\).
How to find the x-intercept?The x-intercept is the point at which the graph of an equation crosses the x-axis. The x-intercepts is the value of x when the value of y equals zero.
In other words, the x-intercept is the point where the graph of the line crosses the x-axis.
Therefore, let's find the x-intercept of y = 4x² + 10x - 3.
Therefore,
4x² + 10x - 3 = 0
using the quadratic formula,
\(\frac{-b+\sqrt{b^{2} - 4ac} }{2a}\) or \(\frac{-b-\sqrt{b^{2} - 4ac} }{2a}\)
Hence,
a = 4
b = 10
c = -3
Therefore,
x = \(\frac{-5+\sqrt{37} }{4}\) or x = \(\frac{-5-\sqrt{37} }{4}\)
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Find the values of x and y
Answers
x = 5; y = 5
Step-by-step explanation:
155° + ? = 180°
? = 180° - 155°
? = 25°
5y° = 25°
y = 25/5
y = 5
5y° + 13x° = 90°
5(5)° + 13x° = 90°
25° + 13x° = 90°
13x° + 25° = 90°
13x° + 25° - 25° = 90° - 25°
13x° = 65°
x = 65/13
x = 5
so x = 5, y = 5
The test statistic of z=−1.91 is obtained when testing the claim that p=1/2. a. Using a significance level of α=0.10, find the critical value(s). b. Should we reject H 0 or should we fail to reject H 0 ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are z= (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Choose the correct conclusion below. A. Reject H 0 . There is sufficient evidence to warrant rejection of the claim that p=1/2. B. Fail to reject H 0 . There is sufficient evidence to warrant rejection of the claim that p=1/2. C. Fail to reject H 0 . There is not sufficient evidence to warrant rejection of the claim that p=1/2. D. Reject H n . There is not sufficient evidence to warrant rejection of the claim that p=1/2.
Answers
a. The critical value(s) is/are z = -1.645, 1.64
b. Fail to reject H0.
How to determine critical valueThere is not sufficient evidence to warrant rejection of the claim that p = 1/2. The test statistic of z = -1.91 is obtained when testing the claim that p = 1/2.
We want to know whether to reject H0 or fail to reject H0 using a significance level of α = 0.10.
Using the standard normal distribution table, the critical value(s) are z = ± 1.645 (rounded to two decimal places).
Since -1.91 is less than -1.645, we fail to reject H0.
In other words, there is not sufficient evidence to warrant rejection of the claim that p = 1/2.
Therefore, the correct conclusion is "Fail to reject H0.
There is not sufficient evidence to warrant rejection of the claim that p = 1/2."
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Toss a fair coin repeatedly. On each toss, you are paid 1 dollar when you get a tail and O
dollar when you get a head. You must stop coin tossing once you have two consecutive heads.
Let X be the total amount you get paid. Find E(X).
Answers
The expected value of the total amount you get paid, E(X), can be calculated using a geometric distribution. In this scenario, the probability of getting a tail on any given toss is 1/2, and the probability of getting two consecutive heads and stopping is also 1/2.
Let's define the random variable X as the total amount you get paid. On each toss, you receive $1 for a tail and $0 for a head. The probability of getting a tail on any given toss is 1/2.
E(X) = (1/2) * ($1) + (1/2) * (0 + E(X))
The first term represents the payment for the first toss, which is $1 with a probability of 1/2. The second term represents the expected value after the first toss, which is either $0 if the game stops or E(X) if the game continues.
Simplifying the equation:
E(X) = 1/2 + (1/2) * E(X)
Rearranging the equation:
E(X) - (1/2) * E(X) = 1/2
Simplifying further:
(1/2) * E(X) = 1/2
E(X) = 1
Therefore, the expected value of the total amount you get paid, E(X), is $1.
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v) Let A=( 5
1
−8
−1
) a) Determine the eigenvalues and corresponding eigenvectors for the matrix A. b) Write down matrices P and D such that A=PDP −1
. c) Hence evaluate A 8
P.
Answers
The eigenvalues are λ1 = 3 and λ2 = 4, and the corresponding eigenvectors are x1 = (4;1) and x2 = (2;1). The matrix P is (4 2; 1 1) and matrix D is (3 0; 0 4). The value of A^8P is (127 254; 63 127).
Given matrix A = (5 -8; 1 -1), we have to determine the eigenvalues and corresponding eigenvectors for the matrix A. Further, we have to write down matrices P and D such that A = PDP^(-1) and evaluate A^8P.
Eigenvalues and corresponding eigenvectors:
First, we have to find the eigenvalues.
The eigenvalues are the roots of the characteristic equation |A - λI| = 0, where I is the identity matrix and λ is the eigenvalue.
Let's find the determinant of
(A - λI). (A - λI) = (5 - λ -8; 1 - λ -1)
det(A - λI) = (5 - λ)(-1 - λ) - (-8)(1)
det(A - λI) = λ^2 - 4λ - 3λ + 12
det(A - λI) = λ^2 - 7λ + 12
det(A - λI) = (λ - 3)(λ - 4)
Therefore, the eigenvalues are λ1 = 3 and λ2 = 4.
To find the corresponding eigenvectors, we substitute each eigenvalue into the equation
(A - λI)x = 0. (A - 3I)x = 0
⇒ (2 -8; 1 -2)x = 0
We solve for x and get x1 = 4x2, where x2 is any non-zero real number.
Therefore, the eigenvector corresponding to
λ1 = 3 is x1 = (4;1). (A - 4I)x = 0 ⇒ (1 -8; 1 -5)x = 0
We solve for x and get x1 = 4x2, where x2 is any non-zero real number.
Therefore, the eigenvector corresponding to λ2 = 4 is x2 = (2;1).
Therefore, the eigenvalues are λ1 = 3 and λ2 = 4, and the corresponding eigenvectors are x1 = (4;1) and x2 = (2;1).
Matrices P and D:
To find matrices P and D, we first have to form a matrix whose columns are the eigenvectors of A.
P = (x1 x2) = (4 2; 1 1)
We then form a diagonal matrix D whose diagonal entries are the eigenvalues of A.
D = (λ1 0; 0 λ2) = (3 0; 0 4)
Therefore, A = PDP^(-1) becomes A = (4 2; 1 1) (3 0; 0 4) (1/6 -1/3; -1/6 2/3) = (6 -8; 3 -5)
Finally, we need to evaluate A^8P. A^8P = (6 -8; 3 -5)^8 (4 2; 1 1) = (127 254; 63 127)
Therefore, the value of A^8P is (127 254; 63 127).
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ASAP i need to know the complete working
Answers
Answer:
a(1):30%
(2):2135.34
(3):15000
Step-by-step explanation:
a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100
{5625/18750}×100
(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5
she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5
she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)
(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750
When computing the degrees of freedom for ANOVA, how is the between-group estimate calculated?
a. (n - 1)/k
b. n - 1
c. k - 1
d. N - k
Answers
The option that follows is c .
The between-group estimate for calculating the degrees of freedom in ANOVA is calculated using the formula k - 1, where k represents the number of groups or treatments being compared.
This estimate represents the variability between the group means and is used in the F-ratio calculation to determine if the differences between the groups are significant.
When conducting ANOVA, the between-group estimate is an important factor in determining the degrees of freedom. This estimate represents the variability between the group means and is used to calculate the F-ratio, which determines if the differences between the groups are significant. The between-group estimate is calculated using the formula k - 1, where k represents the number of groups being compared. This formula is used because the estimate is based on the number of independent sources of variation between the groups. By accurately calculating the degrees of freedom, researchers can determine if the differences between the groups are statistically significant.
The between-group estimate for calculating the degrees of freedom in ANOVA is crucial for determining the statistical significance of differences between groups. It is calculated using the formula k - 1, where k represents the number of groups being compared. This estimate represents the variability between the group means and is used in the F-ratio calculation. Accurately calculating the degrees of freedom is essential in conducting valid ANOVA analyses.
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Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?
Answers
9514 1404 393
Answer:
200 ounces
Step-by-step explanation:
Each pound is 16 ounces, so the number of ounces is ...
(12.5 lb)(16 oz/lb) = 200 oz
The package weighs 200 ounces.
the total surface area of each figurefigure iv find surface area and volume
Answers
Given:
In a given figure,
The length of the sides of the triangle is 4, 13, and 15.
The dimensions of one rectangle are 4 by 6.
The dimensions of one rectangle are 13 by 6.
The dimensions of one rectangle are 15 by 6.
To find:
The total surface area and volume.
Explanation:
The total surface area of the figure is,
\(A=2\times Area\text{ of the triangle+Area of the rectangle 1 + Area of the rectangle 2 +Area of the rectangle 3.}\)Using the heron's formula,
\(\begin{gathered} S=\frac{a+b+c}{2} \\ =\frac{4+13+15}{2} \\ =\frac{32}{2} \\ s=16 \end{gathered}\)The area of the triangle will be,
\(\begin{gathered} A=\sqrt{s(s-a)(s-b)(s-c)} \\ A=\sqrt{16(16-4)(16-13)(16-15)} \\ A=24unit^2 \end{gathered}\)Therefore, the total surface area of the figure becomes,
\(\begin{gathered} TSA=2\times24+4\times6+13\times6+15\times6 \\ TSA=240unit^2 \end{gathered}\)Thus, the total surface area of the figure is 240 square units.
The volume formula is,
\(\begin{gathered} V=\frac{1}{2}lbh \\ V=\frac{1}{2}(6)(15)(3.2)\text{ \lbrack Since, A=}\frac{1}{2}bh\Rightarrow24=\frac{1}{2}(15)h\Rightarrow h=3.2] \\ V=144units^3 \end{gathered}\)Thus, the volume of the figure is 144 cubic units.
Final answer:
• The total surface area of the figure is 240 square units.
,• The volume of the figure is 144 cubic units.
ITEM BANK. Move to Bottom
90° clockwise rotation
90° counter-clockwise rotation
Translation
X-axis reflection
Y-axis reflection
drag and drop answer here
Glide reflection
Answers
Answer:
Rotate 90 degrees clockwise around the origin and then translate down. Reflect across the x-axis and then reflect across the y-axis.
Step-by-step explanation:
Reflection across the y-axis. 90o counter clockwise rotation. 2. Multiple-choice. 1 minute. Q. Identify the transformation from ABC to A'B'C'. Draw the final image created by reflecting triangle RST in the x-axis and then rotating the image 90° counterclockwise about the origin. BER goo Clockwise 90c ...C-level G2-1 Reflections and Rotations ... X-axis. 00. G2-2 Rotations. 4. Rotate the figure 90° clockwise around the origin. ... Rotation 90° counter.
Answer:
The following image below are the answers
Miranda was looking at the maps on her phone. She saw that each mile was going to take them 1.5 minutes. If they drive for 47 miles, how many minutes will it take them?
Answers
Answer:
47 times 1.5 is
70.5 minutes
If b=7 , what is the value of the expression 2(10-b)? A.4 B.6 C.24 D. 12
Answers
Answer:
B
Step-by-step explanation:
substitute b = 7 into the expression
2(10 - b)
= 2(10 - 7)
= 2(3)
= 6
Answer:
all you have to do is substitute
B. 6
Step-by-step explanation:
2(10-7)
2(3)
6
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. (Will give 100 Brainliest)
Slope:________
Answers
So the rise of the line is how much the line goes up from one point to the next.
And the run is how much the line goes to the right when you go from one point to the next.
I'll use the points (-3, 5) and (0,1) for this.
From -3 to 0, x increases by 3, so the run will be 3.
From 5 to 1, y decreases by 4, so the rise will be -4.
Then we combine them in the form of rise over run:
\(\frac{rise}{run} \\\\= \frac{-4}{3} \\\)
The slope of the line will be \(-\frac{4}{3}\)
What is the RACI matrix?
a. Resource Allocation & Cost Inventory matrix
b. Matrix of Responsible and Certified Individuals
c. Responsible, Accountable, Consult & Inform matrix
d. Recently Added Control Incident reporting matrix
Answers
The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.
c. Responsible, Accountable, Consult & Inform matrix
The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.
The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.
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expand and simplify (x+5)(x-3)
Answers
The simplified expression is x² + 2x - 15.
We are given a mathematical expression. The expression has two terms. The first term is (x + 5) and the second term is (x - 3). The terms are multiplied by each other to obtain the final expression. Let the resulting expression be represented by the variable "E". The expression has been solved below.
E = (x + 5)(x - 3)
We will use the distributive property.
E = x*(x - 3) + 5*(x - 3)
E = x*x - x*3 + 5*x - 5*3
E = x² - 3x + 5x - 15
E = x² + 2x - 15
Hence, the expanded and simplified form of the given expression is x² + 2x - 15.
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Like other birds, emperor penguins use their lungs to
breathe air. Emperor penguins hunt for fish, squid,
and other food underwater. When an emperor
penguin dives into the water, it can hold its breath for
as long as 20 minutes.
What happens to the air that an emperor penguin breathes in? Select all that apply.
The air travels through passageways to all parts of the body.
In the lungs, oxygen from the air is absorbed into the blood.
The air travels through passageways to the lungs.
Answers
A ranch has an area of 1120 acres. How many square miles is 1120 acres? Show all your work. (1 square mile = 640 acres)
Answers
Answer:
1.75 Sq. Miles
Step-by-step explanation:
1120/640 = 1.75
24
50
75
Round your answer to the nearest tenth. 41% of 78 is what?
Answers
Answer:
41% of 78 is 31.98
Step-by-step explanation:
n = 41/100 x 78
n = 3198/100
n = 31.98
Answer:
31.98 to the nearest tenth its 32.0
Steren ears extra money babysitting. He charges $28.75 for 5 hours and $40 25 for 7 hours Complete the explanation of why the relationship between how much Steven charges and time sa proportional relationship The rates have the same?, ? per hour
Answers
Explanation:
We can find how much Steven charges per hour by dividing the total charge by hte hours:
\(\begin{gathered} \frac{28.75}{5}=5.75 \\ \frac{40.25}{7}=5.75 \end{gathered}\)Answers:
The rates have the same charge, $5.75 per hour
Help, its just two questions...
Answers
Answer:
In Q39, the value 3x should be positive and in Q40, the final answer is missing 8x and the fact that 4x^2 is negative (-4x^2)
Step-by-step explanation:
39:
1. \(-(-3x)\) is presented as \(-3x\) when it should be \(+3x\), as 2 negatives make a positive.
2. Again, \(-3x\) is shown instead of \(+3x\)
3. The answer \(-x^2-2x\) should instead be \(-x^2+4x\), as \(-3x\) is used to reach this incorrect answer instead of the correct \(+3x\)
40:
1. \((x^3-4x^2+3)+(-3x^3+8x-2)=(x^3-3x^3)-4x^2+8x+(3-2)=-2^3-4x^2+8x+1\),
The final answer is wrong as it is missing the 8x and the fact that it is \(-4x^2\)and not \(+4x^2\)
Given the information the figure is a parallelogram.
True
None of the other answers are correct
False
Answers
suppose the length of time (in minutes) going through customs at u.s. airports with global entry (goes) is normally distributed with a population mean of 40 minutes and a population standard deviation of 12 minutes. what is the approximate wait time for the fastest 4% of passengers?
Answers
The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
What is Standard Deviation?
It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.
The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.
The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.
To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.
Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.
So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
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Label the points, lines, and planes to show AB and line m perpendicular to each other in plane S at point B. plane S
intersecting plane R in line p. and AB both perpendicular to line p and intersecting line n at point A.
Answers
Answer:
Please fins attached the required labelled drawing
Step-by-step explanation:
The given parameters are;
1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B
2) Plane R and plane S intersect on line p
3) Line AB and line p are perpendicular to each other and both intersect with line n at point A
Answer: The Points Should Be Marked Like The Following:
Determine the intercepts of the line.
y - 4= 7(x – 6)
x-intercept:
y-intercept:
Answers
Y-intercept; (0,-38)
i hope this helppppsss
how to construct a confidence interval of the population proportion given at the level of confidence
Answers
Answer:
Step-by-step explanation:
what i do not undersante
5. HELP FAST If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences
Answers
Person A would save the most money because they had a coupon that was worth more than their portion of the purchase price.
To determine who would save the most money if each person paid an equal amount, we need to calculate how much each person paid and then compare the amounts saved by each person. For instance, let's consider an example with four people who want to split the cost of a $60 purchase equally. Each person would pay $60 / 4 = $15.
If person A has a $20 coupon, then they would save $20, and their net cost would be $15 - $20 = -$5. Person B has a $15 coupon, so they would save $15, and their net cost would be $15 - $15 = $0. Person C has a $10 coupon, so they would save $10, and their net cost would be $15 - $10 = $5. Person D has a $5 coupon, so they would save $5, and their net cost would be $15 - $5 = $10.
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What is the answer to this question?
Answers
Answer:
0,-24,-3/4
You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0
What is the value of k? -5 -3 3 5
Answers
Answer:
k = -3
Step-by-step explanation:
Generally, we determine k by observing
the vertical translation of the original graph
in this case it’s the graph of f
and count the number of units by which it’s translated.
Checking the sign of k :
If the graph is translated up then k > 0
If the graph is translated down then k < 0
……………………………………………………………………
in order to get the graph of g ,the graph of f
is translated 3 units vertically but down
then
k = -3
the statement int grades[ ] = { 100, 90, 99, 80 }; is an example of
Answers
Answer:
implicit array sizing
Step-by-step explanation:
The statement "int grades[] = { 100, 90, 99, 80 };" initializes an integer array called "grades" with the values 100, 90, 99, and 80. The given statement is an example of initializing an integer array in C++.
The array is named "grades" and has an unspecified size denoted by the empty square brackets []. The values inside the curly braces { } represent the initial values of the array elements.
In this case, the array "grades" is initialized with four elements: 100, 90, 99, and 80. The first element of the array, grades[0], is assigned the value 100, the second element, grades[1], is assigned 90, the third element, grades[2], is assigned 99, and the fourth element, grades[3], is assigned 80.
The array can be accessed and manipulated using its index values. This type of initialization allows you to assign initial values to an exhibition during its declaration conveniently.
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find an implicit solution to the initial value problem. dy dx = x5 6 y2 y 1
Answers
\(y = 4x^5 + Cx-6\) the implicit solution to the initial value problem is y = \(4x^5 + Cx-6\), where C is an arbitrary constant.
Start by isolating the y-derivative on the left side of the equation.
\(dy/dx = x^5 6 y^2\)
Divide both sides by the coefficient of the y-derivative (6y2).
\(1/6(dy/dx) = x5/6 y2\)
Integrate both sides with respect to y.
\(1/6∫(dy/dx)dy = ∫(x5/6 y2)dy 1/6y + C1 = (x5/6)y3/3 + C2\)
Rearrange the equation to solve for y.
\(y = 4x5 + Cx-6\)
Finally, the implicit solution to the initial value problem is \(y = 4x5 + Cx-6,\)where C is an arbitrary constant.
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