The area of the composite figure is equal to 104 square feet.
How to determine the area of a composite figure
In this question we have a composite figure formed by a part of a rectangle and an entire triangle. The area formulas for a rectangle and a triangle are introduced below:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Where:
b - Base, in feet.h - Height, in feet.Now we proceed to determine the area of the mural:
A = (10 ft) · (8 ft) - 0.5 · (10 ft) · (5 ft) + 0.5 · (14 ft) · (7 ft)
A = 104 ft²
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in a time series regression of the excess return of a mutual fund on a constant and the excess return on a market index, which of the following statements should be true for the fund manager to be considered to have beaten the market in a statistical sense? A The estimate for alpha should be positive and statistically significantly greater than the risk-free rate of return The estimate for beta should be positive and statistically significant The estimate for alpha should be negative and statistically significant The estimate for alpha should be positive and statistically significant
The statements should be true for the fund manager to be considered to have beaten the market in a statistical sense is The estimate for alpha should be positive and statistically significant. The correct answer is D.
The estimate for alpha should be positive and statistically significant for the fund manager to be considered to have beaten the market in a statistical sense.
Alpha represents the excess return of the mutual fund beyond what can be explained by the market index, and a positive and statistically significant alpha suggests that the fund has outperformed the market.
The other options may not necessarily indicate that the fund has beaten the market in a statistical sense.
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If 6x - 3 = 12 , what is the value of 12x + 8 ?
Answer:
You would first add 3 to 12 - 6x =15
x =2.5
12(2.5) = 30
Final value =38
Step-by-step explanation:
Triangle m is similar to triangle N triangle m has two angle with measures of 32 and 93
Triangle M is similar to triangle N, and it is given that triangle M has two angles with measures of 32° and 93°.
Based on this information, we can conclude that triangle N will have corresponding angles measuring 32° and 93°, indicating the similarity between the two triangles.
In geometry, when two triangles have the same measures for their corresponding angles, they are considered similar. In this case, triangle M has angles measuring 32° and 93°.
Since triangle N is similar to triangle M, it will also have corresponding angles measuring 32° and 93°.
This information implies that the angles of triangle N are congruent to the corresponding angles of triangle M. However, without additional information about the side lengths or any other angles, we cannot determine the specific proportions or the exact similarity ratio between the two triangles.
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Triangle M is similar to Triangle N. Triangle M has two angles with measures of 32° and 93°. Which two angle measures could be included in triangle N?
6. John took Ms. Wisth out for sushi and is NOT a cheapskate. Their total sushi bill was $75.68. John
wanted to leave a 27% tip. How much money did John tip the waiter?
Answer:
$20.43 is how much tip was
Step-by-step explanation:
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11 is the all out total
The y-intercept of the graphed line is
Answer:
A. -2
Step-by-step explanation:
Answer:
Looks like -2
Step-by-step explanation:
When you look at where the line on the graph passes the it looks like it passes at -2.
What shape is figure a?
Figure A is a cone and figure B is a cylinder.
cylinder
sphere
cone
pyramid
Mark this and return
In the given figure, shape A is cone and shape B is cylinder. Therefore, option C is the correct answer.
A cone is a three-dimensional shape with a flat base (typically circular) that gradually narrows to a point at the top, called the apex or vertex. It is formed by a set of lines or half-lines extending from the apex to all points lying on a plane that does not contain the apex.
A cylinder is a three-dimensional figure that is made up of two parallel flat surfaces connected by a curved side. The two bases are typically circular, but can also be any other shape, such as an ellipse. The two bases are usually at different heights and the curved surface is made up of straight side walls connecting the two bases. Cylinders can be thought of as a circular tube that has been cut in half and then the cut edges pushed together.
Therefore, option C is the correct answer.
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Whats the slope and Y intercept of 55x+20y-6
we have 55x+20y=-6
REmember that
The equation of the line in slope intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
In this problem we have
55x+20y=-6
so
isolate the variable y
20y=-55x-6
y=-(55/20)x-6/20
y=-2.75x-0.3
therefore
the answer is
slope=-2.75y-intercept=-0.3What is the monthly payment for a $4,000 2-year loan with an APR of 4%?
The monthly payment of loan is $180.26.
What is compound interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given principal = $4,000
APR = 4%
time = 2 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A =\(P(1 + r/n)^{nt}\)
A = 4,000.00(1 + 0.04/1)¹ˣ²
A = 4,000.00(1 + 0.04)²
A = $4,326.40
amount for 2 years = $4,326.40
monthly payment = 4326.40/24
monthly payment = $180.26
Hence the monthly payment is $180.26
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help please! click on pic.
Answer:
x=63
y=27
Step-by-step explanation:
to find x
180-117=63
to find y
90-63=27
please mark brainliest if correct
Answer:
x=63, y=27
Step-by-step explanation:
x is part of a line with 117, so you would do 180-117 to find x. Then you do 90-63 to find y, which is 27.
Rickey walked 2 miles and then another 990 feet. How many miles did Rickey walk in total?
I think the answer is 10,560 feet
Answer:
2.1875 miles
Step-by-step explanation:
1 mile = 5,280 feet
990 feet ÷ 5,280 feet = 0.1875 in miles
in how many ways 7 people be seated at around a table if; a) they can sit anywhere, b) two particular people must not sit next to each other?
Answer:
I’d say the two people that can’t sit next to each other but to choose a different seat, if they find themselves seated next to each other they could ask someone next to them to switch seats with them. The 7 people can sit anywhere but the 2 particular people could sit away from the other.
Step-by-step explanation:
I hope I helped! ^.^’
a number increased by 7 given 20
Answer:
13
Step-by-step explanation:
a force vector points at an angle of 41.5 ° above the x axis. it has a y component of 311 newtons (n). find (a) the magnitude and (b) the x component of the force vector.
the magnitude of the force vector is approximately 470.41 N, and the x component of the force vector is approximately 357.98 N.
(a) The magnitude of the force vector can be found using the given information. The y component of the force is given as 311 N, and we can calculate the magnitude using trigonometry. The magnitude of the force vector can be determined by dividing the y component by the sine of the angle. Therefore, the magnitude is given by:
Magnitude = y component / sin(angle) = 311 N / sin(41.5°)
Magnitude = y component / sin(angle)
Magnitude = 311 N / sin(41.5°)
Magnitude ≈ 470.41 N
(b) To find the x component of the force vector, we can use the magnitude and the angle. The x component can be determined using trigonometry by multiplying the magnitude by the cosine of the angle. Therefore, the x component is given by:
x component = magnitude * cos(angle)
x component = magnitude * cos(angle)
x component = 470.41 N * cos(41.5°)
x component ≈ 357.98 N
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Simplify this expression √x4y12
Answer:
4\(\sqrt{3xy}\)
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
real answers only pls help!
Answer:
look at the picture i have sent
Answer:
d
Step-by-step explanation:
this shape is made up of a triangular prism and a rectangular prism. the formula for the volume of a prism (any prism, doesn't matter) is base area times height. the base areas of the rectangular prism can be found by multiplying 4*12, as these are the dimensions of the base rectangle. 4*12=48. we now multiply this number by the height of the rectangular prism as shown in the volume of a prism formula. the height of the rectangular prism is 14, so 48*14=672. the volume of the rectangular prism is 672 cm^3.
now for the triangular prism. the bases of the triangular prism are the two triangle shapes on the ends; a prism is named after the shape of its base, so be sure to note that you use the triangles for the formula and not the rectangle on the bottom. to find the area of one of these bases (they are both the same), we use the triangle area formula, 1/2*base*height. the base of the triangle shape is 4 units long, as seen by the measurements of the rectangle this triangle sits on top of. to find the height of this triangle, which isn't given, we must use the pythagorean theorem, a^2+b^2=c^2. c in this case is equal to 4 as that is the hypotenuse, and a and b are interchangeable. since the pythagorean theorem only works for right triangles, we must cut the base length in half to assume that the final side is a vertical line, which will give us the height of the original triangle. (note: halving the base length in order to apply the pythagorean theorem only works in this case because both of the other sides are equal length, as we can see on the far triangle, so make sure this applies before trying it in another context) the halved base length is 2, and this number can be either a or b, doesn't matter because the formula adds them. so: (2)^2+b^2=4^2. 2^2 is 4, and 4^2 is 16. 4+b^2=16. subtract 4 from both sides, leaving you with b^2=12, and to get rid of the square on b you take the square root of both sides. so the height of this triangle is the square root of 12, which doesn't need to be simplified if you have a calculator that can process square root input. so to find the area of this triangle, we convert the equation 1/2*base*height into 1/2*4*square root of 12. this gets you about 6.93. to find the total volume of this prism, you multiply the base area times height. as we just figured out, the base area is 6.93, and the height is 12, because this is the length between the two bases, which are the triangles. so, 6.93*12=83.16 is the volume of the triangular prism. the final step is to add this to the volume of the rectangular prism, which is 672. 672+83.16= 755.16 cm^3.
hope this helps! :)
Please help me it’s math
Answer:
Step-by-step explanation:
-2-6-20
Help please will mark brainliest answer
Answer:
47 degrees
Step-by-step explanation:
Answer:
B. 47 degrees
Step-by-step explanation:
/_wxy = 56
/_xyw = 68
/_xwy = 180 - (56 + 68) = 56
[interior angles of a triangle =180]
/_wzv = 77
/_vwz = 56
[/_xwy = /_ vwz]
/_zvw = 180 - (77 + 56) = 47
Where can we put parentheses in 2 x 3+1 + 2 to make it equivalent to 12!Choose 1 answer:(2 x 3) + (1+2)B2 x (3+1+2)Stuck? Review related articles/videos or use a hint.Rep
Question:
Solution:
Note that:
\(2\text{ x (3+1+2) = 2 x(6) = 12}\)then, we can conclude that the correct answer is:
\(2\text{ x (3+1+2) }\)Which of the following is the best estimate of 90? a. 9.1 b. 9.4 c. 9.7 d. 9.9
Answer:
option A 9.1 is close to 90
what does 3.64 + 3/5 equal
Answer:
4.24
Step-by-step explanation:
3.64 + 3/5
3.64 + 0.6 <--- 3/5 = 0.6 as a decimal
= 4.24 <--- Final answer
Suppose that David and his friend Wilson derive utility from consuming two types of snacks: onion rings (q
1
) and chips (q
2
). The utility function for each individual is U(q
1
,q
2
)=q
1
q
2
. Their indifference curves for these two goods are assumed to have the usual (convex) shape. Suppose David has an initial endowment of 35 onion rings and 10 chips, and Wilson's initial endowment consists of 5 onion rings and 20 chips. (1) Draw an Edgeworth box and show the initial allocation of goods, to be labelled e. Indicate the initial quantities of each person's goods on the four axes.
An Edgeworth box is used to represent the initial allocation of goods between David and Wilson based on their endowments of onion rings and chips.
An Edgeworth box is a graphical representation used to analyze the allocation of goods between two individuals.
In this case, we consider David and Wilson's initial endowments of onion rings and chips.
To draw the Edgeworth box, we create a rectangular box where the horizontal axis represents the quantity of onion rings (q1) and the vertical axis represents the quantity of chips (q2). The box is divided into four quadrants, representing the allocation of goods to each individual.
Based on their initial endowments, David has 35 onion rings and 10 chips, while Wilson has 5 onion rings and 20 chips.
We label the initial allocation of goods as point "e" within the Edgeworth box, indicating the quantities of onion rings and chips for each person.
By visually representing the initial allocation in the Edgeworth box, we can analyze the potential for trade and the possibility of mutually beneficial exchanges between David and Wilson based on their preferences and utility functions.
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please help ASAP!! it’s for geometry
Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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A scale model of the Vancouver Olympic cauldron is to be built in memory of the 2010 Olympics. If the scale to be used is 1:27, how tall, in meters, should the model be if the actual cauldron is 11.5 meters tall?
Answer:
23/54 meters
Step-by-step explanation:
Assuming that the scale model is smaller, then the scale model should be 1/27th of the actual thing. Therefore:
11.5/27
= 23/54 meters tall
From the base price level of 100 in 1981, Saudi Arablan and U.S. price levels in 2010 stood at 240 and 100 , respectively. Assume the 1981$/rlyal exchange rate was $0.42 rlyal. Suggestion: Using the purchasing power parity, adjust the exchange rate to compensate for Inflation. That Is, determine the relative rate of Inflation between the United States and Saudi Arabia and multiply this times $/riyal of 0.42. What should the exchange rate be in 2010 ? (Do not round Intermedlate calculatlons. Round your answer to 2 decimal places.)
The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.
The formula for calculating the relative rate of inflation is:
Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1
Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:
Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4
Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:
Adjusted Exchange Rate = 0.4 * $0.42 = $0.168
Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:
Exchange Rate in 2010 = $0.42 + $0.168 = $0.588
Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.
Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.
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2. Write an equation that can be used to find M-Angle M. Then Solve it. Round to the nearest degree
Answer:
M = sin ^-1 (5/11)
M = 27 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin M = 5/11
Taking the inverse sin of each side
sin ^-1 sin M = sin ^-1 (5/11)
M = sin ^-1 (5/11)
M=27.03569
To the nearest degree
M = 27
A hypothesis can be differentiated from a theory because it is...
a. a specific prediction arising from the theory. c. it talks about how one specific variable affects d. all of the above.
A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.
Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.
A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.
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Lolly wrote a total of 10 pages over 5 hours. How many hours will Lolly have to spend writing this week in order to have written a total of 20 pages?
Answer:
10 hours
Step-by-step explanation:
since she spent 5 hours writing 10 pages. you just have to multiple by 2 to know how long it will take to write 20 pages
Please help!!!: pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of
cheese, and 10 different toppings. how many different types of pizzas can be made with one
of each choice? how many pizzas can be made at pizzarific with 3 different toppings?
The total number of pizzas that can be made if, Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings is 1080.
What is combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings,
Calculate the total number of different pizzas as shown below,
The total number of different pizzas = Size × Choice of crust × choice of sauce × choice of cheese × choice of topping
The total number of different pizzas = 3 × 4 × 3 × 3 × 10
The total number of different pizzas = 1080,
Thus, the number of different pizzas is 1080.
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if I have 17 boxes contain 23 chocolate bars each How many chocolate bars do I have in total?
Answer:
391
Step-by-step explanation:
17 x 23 = 391
Answer:
391 chocolate bars
Step-by-step explanation:
You just multiply 23 × 17!