The symbol for the stock boeing is BA.
We are given that;
Quotation 80.12 81.09 79.20 81.00
Now,
It is the first item in the quotation after the company name. The other items are the previous close price, the open price, the low and high prices of the day, the current price, the change in percentage, the volume in millions, the dividend yield and the P/E ratio.
Therefore, by the equation the answer will be BE.
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How does subtraction used to find. Lengths of line segments
The measure of the line segment XY is 54 units.
Since,
A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.
Given that,
W is between X and Y, WX = 38 and WY = 16.
Here, Length of segment XY is sum of measure of line segments WX and WY, we get
XY=WX+WY
XY=38+16
XY = 54 units
Therefore, the measure of XY is 54 units.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the length of XY if W is between X and Y, WX = 38 and WY = 16. XY = ?
15. An airplane pilot over the Pacific sights a ship at an angle of depression of 30.
The horizontal distance from the airplane to the ship is 4629 meters. What is the height of the plane to the nearest meter?
The height of the plane to the nearest metres is 243 metres.
How to find the side of a right triangle?An airplane pilot over the Pacific sights a ship at an angle of depression of 3 degrees. The horizontal distance from the airplane to the ship is 4629 meters.
Therefore, the height of the plane can be found as follows:
Hence, using trigonometric ratios,
tan 3 = opposite / adjacent
Therefore,
tan 3° = x / 4629
cross multiply
x = 4629 tan 3°
x = 242.595610301
Therefore,
height of the plane = 243 metres.
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Country Day's scholarship fund receives a gift of $ 190000. The money is invested in stocks, bonds, and CDs. CDs pay 3 % interest, bonds pay 3.8 % interest, and stocks pay 12 % interest. Country day invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 11250 , how much was invested in each vehicle?
To conclude, $2,755,000 was invested at 12% interest, $1,275,000 was invested at 3.8% interest and $1,290,000 was invested at 3% interest.
Elimination Method for System of Equations:The elimination method is a useful process in solving a system of equations especially when the terms in the equations contain coefficients. By elimination method, the equations may be reduced to an equation containing only one of the unknowns and may be used to solve for the first value. The remaining unknowns are derived using the original equations and the first value.
Let x be the amount invested in stocks at 12% interest, y be the amount invested at bonds at 3.8% interest and z be the amount invested in CD at
3% interest.
The total investment amounts to $190000
x + y + z = $190000__eq.(1)
The total interest from the three investments is $11250
0.12x + 0.038y + 0.03z = 11250 ___eq.(2)
Country Days invests $15000 more in bonds than in CDs.
y = z + $15000
y - z = $15000 ____eq.(3)
Use elimination method for the first and second equation to eliminate x.
x + y + z = $190000 [ Multiply both sides by 0.12 ]
-[0.12x + 0.038y + 0.03z = 11250]
------------------------------------------------
0.12x + 0.12y + 0.12z = $ 22,800
-[0.12x + 0.038y + 0.03z = 11250]
--------------------------------------------------
0.082y + 0.09z = $11,550
Perform another elimination method for the derived equation above and Equation 3 to eliminate z.
0.082y + 0.09z = $11,550
-[y - z = $15000] [ Multiply both sides by 0.09 ]
---------------------------------
0.082y + 0.09z = $11,550
-[0.09y - 0.09z= $1350]
----------------------------------
- 0.008y = $10,200
y = - $1,275,000
Substitute the value of y to Equation 2.
y - z = $15000 [ Substitute y in Equation 3 ]
-1275000 - z = 15000
-z = 15000 + 1275000
z = -$1,290,000
Substitute the value of y and z to Equation 1.
x + y + z = $190000
x - $1,275,000 - $1,290,000 = $190000
x = $190000 + $2565000
x = $2,755,000
To conclude, $2,755,000 was invested at 12% interest, $1,275,000 was invested at 3.8% interest and $1,290,000 was invested at 3% interest.
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Page 7) a) If A = {a, b, cids and B=(a, b, c, d,es, all elements of A are also the elements B. but again A= B. why ?
The delineation of A as a subset of B, and also the differentiation in assertion that A is not equivalent to B, can be attributed to A containing merely three elements (a, b, along with c) as opposed to B's countenance of five elements (including a, b, c, d, subsequently e).
How to explain the setAs all components of A coincidentally exist within B, one may ascertrain that A is indeed a subset of B.
However, due to B enclosing two additional elements (d, then e) which are not replete within A, we can conclusively deny that A is comparable to B.
Symbolically:
A ⊆ B (A constitutes a subset of B)
A ≠ B (A isn't analogous to B)
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$11,646 is invested, part at 14% and the rest at 8%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 8% by $1317.16, how much is invested at each rate? (Round to two decimal places if necessary.)
The amount 6424.66 invested at 14% and amount 5221.33 invested at 8%.
We have,
Investment at 14%= $11,646
Investment at 8%= $1317.16
Let x be the amount invested at 14% and y be the amount invested at 8%.
So, x + y = 11646
0.14x + 0.08y = 1317.16
Now, solving the equation we get
x= 6424.66 and y = 5221.333
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Two random samples of people were selected to help choose a spring window display for a department store.
1a. Inferring from the facts that Sample 2—which is larger than Sample 1—received the most votes,
we may infer that "Butterflies and Ladybirds" would be the most widely chosen option for the spring window show.
1b. This hypothesis is plausible given that a bigger sample size often yields more accurate results and can more accurately reflect the population as a whole.
Furthermore, the fact that "Butterflies and Ladybirds" garnered the most votes across the board implies that it is a widely accepted pick.
2a. The statistics should not be used to draw the conclusion that the spring window displays "Flower Garden" and "April Showers" are unpopular options.
They got fewer votes than "Butterflies and Ladybirds," but they still got a lot of votes from both samples.
2b. This conclusion should not be drawn since the data only reflects the opinions of the chosen samples and might not fairly represent the opinions of the general community.
Personal prejudices and preferences may have also had a role in the outcomes, and there may be more variables (such as cost or availability) that might have an impact on the decision about the spring window display.
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Complete question:
Two random samples of people were selected to help choose a spring window display for a department store. The results are shown in this table.
"Flower Garden"
Number of Votes from Sample 1 =35
Number of Votes from Sample 2=21
"April Showers"
Number of Votes from Sample 1 =16
Number of Votes from Sample 2=15
"Butterflies and Ladybugs"
Number of Votes from Sample 1 =27
Number of Votes from Sample 2=42
1a. What prediction can you make from the data?
1b. Explain why your prediction is reasonable.
2a. What conclusion should not be made from the data?
2b. Explain why the conclusion should not be made.
Calculus problem. Can anybody solve this? Thank you.
The value of the integration are:
∫(√(2 + (cos x)²) / sec x - cosec x) dx = 3 ln|cos x - sin x| + √2 + C
∫arc tan√x dx = √x arc tan √x - ln|1 + x| + C
We have,
∫(√(2 + (cos x)²) / sec x - cosec x) dx:
We can simplify the expression in the integral as follows:
√(2 + (cos x)²)
= √(1 + (cos² x)) + √1
= √(sin² x + cos² x + cos² x) + 1
= √(2cos² x + 1) + 1
So the integral becomes:
∫[(√(2cos² x + 1) + 1) / (1/cos x - 1/sin x)] dx
= ∫[(√(2cos² x + 1) + 1) / ((sin x - cos x)/ (sin x cos x))] dx
= ∫[(√(2cos² x + 1) + 1) / ((sin x cos x - cos² x)/ (sin x cos x))] dx
= ∫[(√(2cos² x + 1) + 1) sin x / (cos x - sin x)] dx
Now we can make the substitution u = cos x - sin x, which gives us
du = (-sin x - cos x) dx, or -du = (sin x + cos x) dx.
Making this substitution and simplifying, we get:
∫[(√(2u² + 2) + 2) / u] du
= ∫[(√2(u² + 1) + √2) / u] du
= √2 ∫[(u² + 1)^(1/2) / u] du + 2 ∫(1/u) du
Using integration by substitution,
let w = u^2 + 1, then dw = 2u du, and we have:
= √2 ∫(1/w) dw + 2 ln|u|
= √2 ln|u| + 2 ln|u| + C
= 3 ln|cos x - sin x| + √2 + C
where C is the constant of integration.
And,
∫arc tan√x dx:
We can make the substitution u = √x, which gives us du = (1/2√x) dx, or 2u du = dx.
Substituting these into the integral, we get:
∫arc tan√x dx = ∫arc tan u x 2u du
Now, using integration by parts with u = arc tan u and dv = 2u du, we get:
∫arc tan u 2u du = u arc tan u - ∫(1 + u²)/(1 + u²)² du
= u arc tan u - ∫1/(1 + u²) du
= u arc tan u - ln|1 + u²| + C
Substituting back u = √x, we get:
∫arc tan√x dx = √x arc tan √x - ln|1 + x| + C
where C is the constant of integration.
Thus,
The value of the integration are:
∫(√(2 + (cos x)²) / sec x - cosec x) dx = 3 ln|cos x - sin x| + √2 + C
∫arc tan√x dx = √x arc tan √x - ln|1 + x| + C
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How many degrees is the measure of ∠4
∠
4
?
Two parallel lines, P and Q, cut by two transversals, R and S. Together, angles four, an angle with measure 60 degrees, and an angle with measure 61 degrees, form a straight angle along line Q.
The measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°
What are angles formed by a pair of parallel lines cut by a transversal line?When a transversal line cuts a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.
m∠4 + 60° + 61° = 180° {supplementary angles}
m∠4 + 121° = 180°
m∠4 = 180° - 121° {subtract 121° from both sides}
m∠4 = 59°.
Therefore, the measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°
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PLEASE HELP ASAPP !!!!!!!!!!!!!!!!!!!!!
The value of m for the quadratic equation, 2x² - 28x + 7m = 0 to have one solution is 14.
How to solve quadratic equation?She said the quadratic equation 2x² - 28x + 7m = 0 has only one solution for some value of m.
Therefore, the exact value of m which give the quadratic equation exactly one solution can be calculated as follows:
Therefore, a quadratic equation has one solution when the discriminant is zero.
Hence,
b² = 4ac
a = 2
b = -28
c = 7m
Therefore,
(-28)² = 4 (2)(7m)
784 = 56m
divide both sides by 56
m = 784 / 56
m = 14
Therefore,
m = 14
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1. A limit imposed by the government on the quantity of a good or product that can be brought into the
country is called a
a. tariff
b. quota
c. foreign bill of exchange
d. value added tax
2. Which of the following would not be an effective argument for the U.S. to enact trade restrictions?
Oa.
a. they shield U. S. workers from competition by cheap foreign labor
b. they may benefit the security and defense of the nation
c. they help the U.S. maintain diverse industries
Od. they make foreign products cheaper to U.S. shoppers
3. What does it mean if a country is on the gold standard?
Oa.
a.
it sets the value of its currency in relation to a specific amount of gold
Ob. it creates specific standards by which gold is made into jewelry
c. it uses gold instead of paper currency
Od. none of these
4. Economists tend to classify a country as less developed if the country's average level of Income is less
than
a. $9,500 per person
b. the average per-person-income of neighboring countries
Oc. $3,040 per person
C.
Od. a U.S. welfare recipient's income
5. Which of the following would not be considered a barrier to economic development?
a. high levels of political corruption
Ob. low population growth
Oo
Od. shortage of investment capital
c. low human capital
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
We have,
1)
A limit imposed by the government on the quantity of a good or product that can be brought into the country is called a quota.
Tariffs, on the other hand, are taxes imposed on imported goods, while foreign bills of exchange refer to payment methods in international trade, and value-added tax (VAT) is a tax on the value added to goods and services.
2)
The argument that enacting trade restrictions makes foreign products cheaper to U.S. shoppers is not effective because it is contradictory.
Trade restrictions, such as tariffs or quotas, are intended to make foreign products more expensive and protect domestic industries from foreign competition.
3)
If a country is on the gold standard, it means that it sets the value of its currency in relation to a specific amount of gold.
The value of the currency is directly linked to the amount of gold held in reserves by the government and can be exchanged for gold at a fixed rate.
4)
Economists tend to classify a country as less developed if the country's average level of income is less than $3,040 per person.
This is the World Bank's definition of low-income countries, which are typically characterized by high levels of poverty, limited access to education and healthcare, and underdeveloped infrastructure.
5)
Low population growth is not considered a barrier to economic development.
In fact, some economists argue that high population growth can put a strain on resources and hinder economic development.
Barriers to economic development typically include factors such as political corruption, lack of investment capital, and low levels of education and human capital.
Thus,
1) b. quota
2) d. they make foreign products cheaper to U.S. shoppers
3) a. it sets the value of its currency in relation to a specific amount of gold
4) c. $3,040 per person
5) b. low population growth
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Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the rooms and the edges represent doorways connecting the rooms. Vertex represents the outdoors.
Yes, its possible to have s path through the house that uses door way once and the path is BADC.
In the given graph the vertices represents the rooms.
A, B, C and D are the rooms
the edges represent doorways connecting the rooms.
Vertex represents the outdoors.
Yes, its possible to have s path through the house that uses door way once.
The path is BADC.
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Which system of linear equations has no solutions?
a) y = 4x +1 y= -4x + 1
b) y= 2x + 7 y= 2x - 7
c) 3x + y =1 6x + 2y =2
d) 5x + y =3 x + 5y = 15
Answer:
b)
Step-by-step explanation:
a) y = 4x +1 y= -4x + 1
Different slopes; same y-intercept; lines intersect at 1 point; there is 1 solution.
b) y= 2x + 7 y= 2x - 7
Same slopes; different y-intercepts; parallel lines do not intersect; no solution.
c) 3x + y =1 6x + 2y =2
Equations are the same; infinite number of solutions.
d) 5x + y =3 x + 5y = 15
Different slopes; lines intersect at 1 point; there is 1 solution.
Answer: b)
At the soccer game, Sue bought a pack of gum for 25¢ and a candy bar for $1.00.
Her little brother bought a hot dog for 75¢. What is the average cost of the items
Sue and her brother bought? (Round to the nearest penny.)
If at the soccer game, Sue bought a pack of gum for 25¢ and a candy bar for $1.00, the average cost of the items Sue and her brother bought is 67 cents.
To find the average cost of the items, we need to add up the total cost and divide by the number of items. In this case, there are three items: gum, candy bar, and hot dog.
The total cost is 25¢ + $1.00 + 75¢ = $2.00
The number of items is 3.
So, the average cost is $2.00 / 3 = $0.67 (rounded to the nearest penny).
This means that on average, each item costs 67 cents.
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a number raised to the fifth power of x
How to do this question, please help
The gradients for each line are given as follows:
Line A: m = 4.Line B: m = -2.How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The gradient of each line represents the slope, hence they are given as follows:
Line A: m = 4, as when x increases by one, y increases by four.Line B: m = -2, as when x increases by one, y decays by two.More can be learned about linear functions at https://brainly.com/question/24808124
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1) Complete one drawing of each regular polygon: equilateral triangle, square, and regular hexagon, following the animations. 2) Create a design based on one of the 3 polygons. 3) Write a description of your design. Include the following information: How many lines of symmetry does the design have? How many degrees does the design need to be rotated to match itself? (Hint: See the polygons at the start of the lesson.) How did you decide to color your design? What patterns do you see in your design? please help also please just don't take the points i'm giving 15 points
A polygon is a geometric object with two dimensions and an infinite number of sides. Drawing of each regular polygon: equilateral triangle, square, and regular hexagon can be drawn in the image.
A polygon is a geometric object with two dimensions and an infinite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges.
Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. Drawing of each regular polygon: equilateral triangle, square, and regular hexagon can be drawn in the image.
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Brayden goes out to lunch. The bill, before tax and tip, was $18.70. A sales tax of 6% was added on. Brayden tipped 16% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
The total price including sales tax that Brayden has to pay is $114.15
Sales tax is a tax charged to the buyer of a product based on the product's price.
From the case, we know that:
Sales tax = 6%
price = $18.70
Sales tax to be paid = Sales tax x product price
Sales tax to be paid = 6% x $18.70
Sales tax to be paid = $112.2
Total price to be paid = Product price + Sales tax to be paid
Total price to be paid = $112.2+ $1.95
Total price to be paid = $114.15
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Select the correct answer from each drop-down menu.
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people. The town's tax status will change once the population is below 6,000 people.
Create an inequality that can be used to determine after how many years, t, the town's tax status will change, and use it to answer the question below.
___.(___).t<___
Will the town's tax status change within the next 3 years?____
The answer is below., the town's tax status should change within the next 3 years.
An exponential decrease can be represented by the formula:
y = ab^x
where a is the initial amount and b < 1.
Let p represent the population after t years, hence:
p = ab^t
Since the population decreases exponentially at a rate of 14.3% each year, hence:
b = 100% - 14.3% = 85.7% = 0.857
b = 0.857
Also, a = 9400 people
Therefore the equation is:
p = 9400(0.857)^t
The town's tax status will change once the population is below 6,000 people, therefore:
9400(0.857)^t < 6000
for the tax status to change.
At t = 3 years:
p = 5917
so, 5917< 6000
the town's tax status should change within the next 3 years.
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A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000.
The following is the setup for this hypothesis test:
$_H0: p = 0.40$_
$_Ha: p < 0.40$_
Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The p-value for this hypothesis test for a proportion is 0.9319.
We are given that;
Number of employees=700
Percent=400%
Now,
Plugging these values into the formula, we get:
Z=7000.40(1−0.40)0.4357−0.40≈1.49
Since the alternative hypothesis is p<0.40, this is a left-tailed test. The p-value is the area to the left of 1.49 under the standard normal curve1. Using a normal table or a calculator, we find that:
p-value=P(Z<1.49)≈0.9319
Therefore, by percentage the answer will be 0.9319.
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Please answer the question
Answer: B, 83.
Step-by-step explanation: Just use long division as shown below, hope this helps! :)
Calculus problem. Can anybody solve this? Thank you.
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
We know,
Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
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complete question:
Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
Can someone help find the formula for this function.
The formula for this function is y = 0.9 * cos((2π/3) x + π/2) - 1.2
How to derive a cosine functionFrom the image attached, that looks like a cosine graph with 3 periods. 2 highs and 1 low. Also, it should be noted that it is a cosine function.
Therefore to derive the formula for the graph, we use a cosine function with a phase shift and amplitude adjustment.
The general formula for a cosine function is:
f(x) = A * cos(Bx + C) + D
where
A = amplitude,
B = frequency,
C = phase shift,
D = vertical shift.
To get the Amplitude:
We want the function to oscillate between 2.1 and 0.3, which is a difference of 1.8. Since the sine function oscillates between -1 and 1, we need to multiply it by half the desired difference to get the right amplitude. Therefore,
A = 1/2 *1.8 = 0.9.
To get the Frequency:
Since there are only three periods in the interval, then
frequency = 2π/3.
Therefore B = 2π/3.
To get the Phase shift:
We want the function to peak at x = 0, so we need a phase shift of π/2.
Therefore C = π/2.
To get Vertical shift:
We want the function to have a trough at y = 0.3, which means we need to shift it down by 1.8/2 + 0.3 = 1.2. We set D = -1.2.
Putting all these parameters together, we get the following formula:
f(x) = 0.9 * cos((2π/3) x + π/2) - 1.2
This function will oscillate between 2.1 and 0.3 over three periods, with a peak at x = 0 and a trough at y = 0.3.
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What is the surface area of a right cone with a diameter of 15 units and a slant height of 34 units?
The surface area of the right cone is 800.7 squared unit.
What is surface area?The surface area of a three-dimensional object is the total area of all its faces.
To calculate the surface area of the right cone, we use the formula below
Formula:
S.A = πrl.................. Equation 1From the question,
Given:
π = Pie = Constantr = Radiusl = Slight heightFrom the question,
Given:
r = 15/2 = 7.5 unith = 34 unitSubstitute these values into equation 1
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2.00x +1.50y=15 Write in slope-intercept form
Answer:
y = − 1.3x + 10
Step-by-step explanation:
The slope-intercept form is y = mx + b
2.00x + 1.50y = 15
1.50y = -2x + 15
y = − 1.3x + 10
So, the answer to this is y = − 1.3x + 10
Answer: y= -4/3 +10
Step-by-step explanation:
given the equation 2.00x+1.50y=15
subtract 2.00x from both sides
1.50y = -2.00x +15
then divide both sides by 1.50 to isolate y
then you get your answer
y = -4/3 + 10
really need some help
Answer:
192.7 cm³
Step-by-step explanation:
You want the volume of a regular pentagonal prism with a base side length of 4 cm and a height of 7 cm.
Base areaThe area of a regular n-gon is given by the formula ...
A = n·s²/(4·tan(180°/n))
For n=5 and s=4 cm, the area of the prism base is ...
A = 5·(4 cm)²/(4·tan(36°)) = 20/tan(36°) cm² ≈ 27.528 cm²
VolumeThe volume of a prism is ...
V = Bh
where B is the base area, and h is the height. Here, we have h=7 cm, so the volume is ...
V = (27.528 cm²)(7 cm) ≈ 192.7 cm³
The volume of the interior of the box is about 192.7 cm³.
Please help I reallllly need the help
There are 300 grams in 1500 ml of the 20% solution.
We can use the concept of proportions to solve this problem.
A 20% solution contains 20 grams in 100 ml.
This means that for every 100 ml of solution, there are 20 grams of the solute.
To find out how many grams are in 1500 ml of the solution, we can set up a proportion:
20 grams/100 ml = x grams/1500 ml
where x is the number of grams in 1500 ml.
To solve for x, we can cross-multiply and simplify:
100x = 20 × 1500
100x = 30,000
x = 300 grams
Therefore, there are 300 grams in 1500 ml of the 20% solution.
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question C please!!!!!
The explanatory variable is; A. square footage.
The correct scatter diagram of the data is: B. scatter diagram.
The linear correlation coefficient between square footage and asking price is 0.91.
How to determine the linear regression equation and correlation coefficient?In this scenario, the square footage (x) would be plotted on the x-axis of the scatter plot while the selling price (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the square footage (x) and the selling price (y), an equation for the linear regression is given by:
y = 13.762782 + 0.156710276x
Correlation coefficient, r = 0.904601208 ≈ 0.91.
In conclusion, there is a strong correlation between the data because the correlation coefficient (r) approximately equals to 1;
0.7＜|r| ≤ 1 (strong correlation)
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i need someone to help me with this problem
Answer:80
Step-by-step explanation: 3x+8=5x-40 so 2x=48 so x=24. 24*3+8=80 so our answer is 80.
Please answer all 3 questions and don’t comment unless it’s relevant to the questions on the image
The difference between area and volume is that:
8. Area describes the space taken up by two-dimensional objects whereas volume describes the space taken up by three-dimensional objects. The area can be measured in square meters (m²) and square kilometers (km²), whereas, volume can be measured in cubic millimeters (mm³), and cubic meters (m³).
9. The volume of the cube is D. 12 cubic units.
How to calculate the volume of a cubeTo calculate the volume of a cube, we multiply all three sides. The formula is V = S³.
So, for the cube shape with the given three sides, we can obtain the volume by executing the following operation:
1 × 2 × 6
12 cubic units. Option D is thus correct.
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The NY Knicks won 35 games out of 65 games. What is the probability that they win the next game?
Find the experimental probability of a player on the New York Liberty being over 73 inches.
The value of probability that they win the next game is,
⇒ 6/13
We have to given that;
The NY Knicks won 35 games out of 65 games.
Now, We can simplify as;
The possible value of to win next game is,
⇒ 65 - 35
⇒ 30
Thus, The value of probability that they win the next game is,
⇒ 30 / 65
⇒ 6/13
So, The value of probability that they win the next game is,
⇒ 6/13
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