The total area of the composite figure is: 510.62 ft²
How to find the surface area of the composite figure?Using Pythagoras theorem, we have the hypotenuse at:
x = √(12.1² - 7²)
x = √97.41
x = 9.87 ft
Formula for area of triangle is:
A = ¹/₂* base * height
Area of two triangles is:
A = 2(¹/₂* 7 * 12.1)
A = 84.7 ft²
Area of 2 slanting rectangles is:
A = 2(9.87 * 8)
A = 157.92 ft²
Area of cuboid sides is:
A = 2(5 * 8) + 2(14 * 5)
A = 156 ft²
Area of cuboid base is:
A = 8 * 14
A = 112 ft²
Total area = 84.7 ft² + 157.92 ft² + 156 ft² + 112 ft²
Total area = 510.62 ft²
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Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
A train leaves at 15:43 and arrives at 17:13. It travelled at an average speed of 75 km/h.
How far did it travel? Give your answer in km to 1DP.
Answer:
112.5 km
Step-by-step explanation:
Since we are given a speed per hour, let's start with finding how much time it took for the train to travel its distance.
2 hours from 15:43 would end the journey at 17:43, and 17:13 is half an hour less than that. Therefore, the total time is 2 hours - 30 minutes = 1.5 hours.
Now that we know the time, we can set up a ratio to find the distance using the speed.
75 km/1 hour = x km/1.5 hours
To solve this equation for x (distance), we will cross multiply, giving:
75(1.5) = x(1)
x = 112.5 km
Hope this helped!
Answer:
112.5 km
Step-by-step explanation:
The time it traveled is:
17:13 - 15:43 = 16:73 - 15:43 = 1:30
It traveled 1:30, or 1 hour and 30 minutes, or 1.5 hours.
speed = distance/time
distance = speed × time
distance = 75 km/h × 1.5 h
distance = 112.5 km
3x+y=8 I really don't understand this and I have tried to get the answer but always end up wrong.
3x-y=4
Answer:
The solution of the system of the equation is (2, 2)
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + y = 8 ⇒ (1)
∵ 3x - y = 4 ⇒ (2)
→ Add equations (1) and (2) to eliminate y
∴ (3x + 3x) + (y + -y) = (8 + 4)
∴ 6x + 0 = 12
∴ 6x = 12
→ Divide both sides by 6 to find x
∵ \(\frac{6x}{6}=\frac{12}{6}\)
∴ x = 2
→ Substitute the value of x in equation (1) to find y
∵ 3(2) + y = 8
∴ 6 + y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + y = 8 - 6
∴ y = 2
∴ The solution of the system of the equation is (2, 2)
What is the gcf of 15x^4-10x^2+25x
Thanks for taking the time to read this!
Hope you have a good day, Loves.
And don't forget to eat!
Graph the solution set to this inequality. -4(x+ 3) ≤-2x
Answer:
hey hope the given pic are helpful(sorry for my bad writing)
If x and y are positive integers, what are all the
solutions (x, y) of the equation 3x + 2y = 11?
(A) (1,4) only
(B) (3,1) only
(C) (1,4) and (2,2)
(D) (1,4) and (3,1)
(E) (2,2) and (3,1)
Answer:
D: Points (1,4) and (3,1) are on the line
Step-by-step explanation:
See attached graph.
every student to turn in their cell phones before the mid-term exam. after the exam, he randomly selects a phone and returns it to a random student one by one (uniform random each time) from student 1 to student n. in other words, there is no guarantee that the phone will be returned to its original owner. on average, how many students will get back their own phones?
By finding the probability of given situation we will know that on average, only one student will get their own phone back out of n student.
Let Xi be the indicator variable for the event that student i gets back their own phone. Then, we want to find the expected number of students who get their own phones back, which is given by:
E(X) = E(X1 + X2 + ... + Xn)
By linearity of expectation, we can distribute the expectation operator and simplify:
E(X) = E(X1) + E(X2) + ... + E(Xn)
Now, let's focus on finding the value of E(Xi) for a single student i. There are n phones in total, so the probability that student i gets their own phone back is 1/n. In this case, Xi takes on a value of 1.
If student i does not get their own phone back, Xi takes on a value of 0. The probability of this event is (n-1)/n. Therefore, we have:
E(Xi) = 1/n * 1 + (n-1)/n * 0
E(Xi) = 1/n
Finally, we can substitute this expression into our earlier equation to get the expected number of students who get their own phones back:
E(X) = E(X1) + E(X2) + ... + E(Xn)
E(X) = 1/n + 1/n + ... + 1/n (n times)
E(X) = n * (1/n)
E(X) = 1
Therefore, on average, only one student will get their own phone back. This result is intuitive since each student has an equal chance of getting any of the n phones, and there are n-1 other students who could potentially get a given student's phone.
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The answer is given but I dont understand. Please explain #7
SOLUTION:
Case: Rectilinear acceleration
Answer:
Acceleration on a straight line is defined as the rate of change of velocity during motion on the straight line.
TOPIC : AGGREGATE DEMAND & AGGREGATE SUPPLY (MACROECONOMICS)
Draw and show the shift in aggregate demand (Long run curve included if necessary), when there is an increase in government spending for education specifically for children that need to repeat additional years which is a huge economic cost for government
The increase in government spending for education specifically for children that need to repeat additional years will lead to a shift in the aggregate demand curve. Aggregate demand (AD) represents the total demand for goods and services in an economy.
The increase in government spending on education will directly impact the consumption component of aggregate demand. When the government spends more on education, it provides additional income and support to families with children needing additional years. This will lead to an increase in disposable income and, consequently, an increase in consumption expenditure.
As a result, the aggregate demand curve will shift to the right. This means that at any given price level, the total quantity of goods and services demanded in the economy will increase. It's important to note that the impact of this increase in government spending on aggregate demand in the long run may be different. In the long run, factors such as potential output and the availability of resources may come into play, affecting the overall impact on aggregate demand.
In summary, an increase in government spending for education, specifically for children needing additional years, will shift the aggregate demand curve to the right due to the increase in consumption expenditure. This will result in an increased demand for goods and services in the economy.
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What is the length of the diagonal from P to Q?
Answer:
The length of the diagonal from P to Q is
\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)
EFGH is translated 6 units to the left and 3 units up.
What are the coordinates of F’?
The coordinates of F' would be (2, 4). This is because F was translated 6 units to the left and 3 units up. To calculate the coordinates of F', you must subtract 6 from the x-coordinate of F and add 3 to the y-coordinate of F. Therefore, if F was (8, 1), then F' would be (2, 4).
F = (8, 1)
F' = (8 - 6, 1 + 3)
F' = (2, 4)
The coordinates of F' can be found by translating F 6 units to the left and 3 units up. To calculate the coordinates of F', you must subtract 6 from the x-coordinate of F and add 3 to the y-coordinate of F. For example, if F is located at (8, 1), the coordinates of F' would be (2, 4). This is because 8 - 6 = 2 and 1 + 3 = 4. Therefore, translating F 6 units to the left and 3 units up would result in the coordinates of F' being (2, 4). This principle applies to any initial coordinates, so you can use this method to calculate the coordinates of F' for any starting point.
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Sums of Independent Random Variables (5 points) Let X and Y be two independent random variables with pdfs fx(r) = Xe\1(0,oo)() and fy(y) = 1(0,1)(y), with > 0. Compute the pdf of Z = X+Y.
To compute the probability density function (pdf) of Z = X + Y, where X and Y are independent random variables, we convolve their pdfs. The resulting pdf of Z will depend on the specific pdfs of X and Y.
To find the pdf of Z = X + Y, we need to perform a convolution of the pdfs of X and Y. The convolution of two functions f and g is given by the integral:
f * g (z) = ∫ f(z - y) g(y) dy
In this case, we have \(fx(x) = λe^(-λx) for x > 0 and fy(y) = 1 for 0 < y < 1.\)We can compute the convolution integral as follows:
fZ(z) = ∫ fx(z - y) fy(y) dy
Substituting the given pdfs, we have
\(fZ(z) = ∫ (λe^(-λ(z - y))) * 1 dy\)
\(= λe^(-λz) * ∫ e^(λy) dy\)
\(= λe^(-λz) * (e^(λy) / λ) | from 0 to 1\)
\(= (1/λ) * (e^(-λz) - 1)\)
Therefore, the pdf of\(Z = X + Y is fZ(z) = (1/λ) * (e^(-λz) - 1) for z > 0.\)
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According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. how many cruise passengers must there have been in 2017? write your answer in millions and rounded to two decimal places.
The number of cruise passengers must there have been in 2017 is 26.7 million.
What is percentage?The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.
Now according to the question;
Let x represent the total number for cruise passengers during 2017.
In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.
So, 106.7 % of x = 28.5
\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)
Multiplying both sides by 100;
\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)
Dividing both sides by 106.7;
\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)
x = 26.7
Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.
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7x-2x+5=25 olduguna göre x kaçtır ?
Solve for x .-.
\( \tt {x}^{2} + 9 = 298\)
Answer:
x = 17
Step-by-step explanation:
Solving for 'x':x² + 9 = 298
Subtract 9 from both sides,
x² + 9 - 9 = 298 - 9
x² = 289
Prime factorize 289,
x² = 17*17
Take square root,
\(\sf \sqrt{x^2}= \sqrt{17*17}\)
x = 17
If x=6, what is the smallest natural number y that makes x2+y2 rational?
Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .
To Find: Smallest value if y so that the expression is rational .
Solution : On substituting x = 6 , we have
\(=> x^2+y^2= 6^2+y^2\\\\ x^2+y^2= 36+y^2\)
Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,
\(=> N=\{ 1,2,3,4,... ..,\infty\}\)
Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.
The minimum value of y is 1.
HELP PLEASE LOTS OF POINTS AND BRAINLIEST!!!
3C. With distances in feet, use the see saw principle to find the number of feet represented by N in the balanced seesaw
3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of “OFF”.
SAT/SUN/OFF
Answer:
N=5
Step-by-step explanation:
38N = 10*4 + (4+6)15
38N = 180
N=5
Answer:
Answer:
N=5
Step-by-step explanation:
Step-by-step explanation:
38N = 10*4 + (4+6)15
38N = 190
N=5
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
What is the result when 8x3 + 10x² + 23x + 15 is divided by 4x + 3 ?
Answer all questions Q1/100 gallon of a blend liquid fuel which containing in 20% ethyl alcohol, 25% n-heptane, 20% toluene, and m-oxylene. Compare this fuel with gasoline on HHV, LHV, CO₂ emission.
The blend liquid fuel containing 20% ethyl alcohol, 25% n-heptane, 20% toluene, and m-oxylene is compared with gasoline on HHV, LHV, and CO₂ emission.
The fuel's heating value is higher when calculated with the Higher Heating Value (HHV) method, but lower when calculated with the Lower Heating Value (LHV) method. CO₂ emission of blend liquid fuel is significantly less than that of gasoline.
The differences between the two fuels' properties imply that using a blend of gasoline and alternative fuels such as ethanol, methanol, and other oxygenates will change the combustion properties of the fuel, influencing engine performance and emissions.
The HHV, LHV, and CO₂ emission of blend liquid fuel containing 20% ethyl alcohol, 25% n-heptane, 20% toluene, and m-oxylene is evaluated.
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Approximate pi plus the square root of forty to the nearest hundredth.
To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.
What does it mean to round a number to a particular place?Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.
When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.
The limit is set at five.
All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)
The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"
π + √40
= 3.1416 + 6.3245
= 9.4661 ≈ 9.47
Value is therefore 9.47.
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A standard cola can (cylinder) is shown below Assuming the can is a perfect cylinder, find the radius. Round your answer to the nearest hundredth
The correct radius of the cylinder is given by: Option B: 3.04 cm
What is the Volume of the Cylinder?The formula for the volume of a cylinder is given by the formula:
V = πr²h
where:
V is volume
r is radius
h is height
We are given the parameters as:
Height: h = 12.25 cm
Volume: V = 355 cm³
Thus:
355 = π * r² * 12.25
r² = (355)/(12.25π)
r² = 9.2245
r = √9.2245
r = 3.04 cm
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Find the coordinate of the midpoint of the segment with the given endpoints.
-6 and -4
Answer:
-5
Step-by-step explanation:
Let's assume the you are moving horizontally along the number line. If you start at -4 and jump to -6, you have made 2 jumps to the left(-4;-5;-6). So halfway between them (the midpoint) is 1 jump (half of 2 jumps).
1 jump to the left of -4.... You land at -5.
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For a population that is not normally distributed, the distribution of the sample means will ______ as the size of the sample increases.
Larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.
For a population that is not normally distributed, the distribution of the sample means will approach a normal distribution as the size of the sample increases.
This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes more normal regardless of the shape of the population distribution.
Therefore, larger sample sizes provide more accurate estimates of the population mean, even if the population is not normally distributed.
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Simplify the expression. #1-2
Answer: 1/2
Step-by-step explanation:
2. Which expression is equal to: X + x + x + x A 4+x B) x - 4 © 4x D х 4
Answer:
C. 4x
Step-by-step explanation:
x means 1x, so the coefficient is 1.
1x + 1x + 1x + 1x
Ignore the x's for a bit.
1 + 1 + 1 + 1
That gives you 4
Hence 4x (don't forget the variable)
The cost of a phone call at a hotel is determined by the formula
C = 0.35t + 0.6
Where C is the cost in dollars and T is the length of the call, in minutes.
What is the length of a call that costs 5.85
(a) 3 minutes
(b) 6 minutes
(c) 15 minutes
(d) 18 minutes
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Write 67% as a fraction or mixed number
Answer:
67/100
Step-by-step explanation:
basically just put 100 as denominator
Swamee and Luigi were printing calendars. Swamee used 21/2 ink cartridges while Luigi used 13/4 ink cartridges. How many more ink cartridges did Swamee use than Luigi?
Answer:
11/4
Step-by-step explanation:
multiple with the smallest common 2 and 4 is 4 so :
12*2/2*2 - 13/4 24/4 - 13/4= 11/4
Need help asap pls
In the photo
Answer:
26 is my guess