The volume of the composite figure is
8379 ft
How to find the volume of the composite figureThe volume of the composite figure is solved by adding up the individual volumes
volume of the composite figure = volume of the rectangular prism+ volume of the triangular prism
volume of the composite figure = (area of base * height) + (area of base * height/3)
volume of the composite figure = )21 * 21 * 16) + (21 * 21 * 9/3)
volume of the composite figure = 7056 + 1323
volume of the composite figure = 8379 ft
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tell weather the figures are similar.Explain
12. What kind of angle is
The type of angle depicted as 125° is: An Obtuse Angle
How to identify the type of angle?There are different types of angle described below:
Acute Angle ⇒ An angle which is lesser than 90° is known as an acute angle.
Right Angle ⇒ An angle which is exactly 90° is known as a right angle.
Obtuse Angle ⇒ An angle which is greater than 90° is known as an obtuse angle.
Straight Angle ⇒ An angle which is exactly 180° is known as a straight angle.
Reflex Angle ⇒ An angle that is more than 180° is known as a reflex angle.
Complete Angle ⇒ An angle which is exactly 360° is known as a complete angle.
Thus, the angle 125° is classified as an obtuse angle
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Complete Question is:
What kind of an angle is 125°?
5. Use the digits 3, 4, 5, 6, 7 and 8 to complete the statement.
Answer:
Step-by-step explanation:
i don't see a statement but use 7 i guess
your company is producing special battery packs for the most popular toy during the holiday season. the life span of the battery pack is known to be normally distributed with a mean of 250 hours and a standard deviation of 20 hours. what would typically be a better distribution than the normal distribution to model the life span of these battery packs?
In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The normal distribution is a very common and useful distribution for modeling many real-world phenomena, including the lifespan of battery packs. However, there are certain situations where other distributions may be more appropriate.
One example of a distribution that could potentially be a better fit for the lifespan of these battery packs is the Weibull distribution. The Weibull distribution is often used to model the failure rates of components, including batteries. It has a flexible shape that can be adjusted to fit different types of failure patterns, and it can handle both increasing and decreasing failure rates.
In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions. This could involve using statistical software to fit various distributions to the data and comparing the resulting fit statistics, such as the Akaike information criterion (AIC) or the Bayesian information criterion (BIC), to determine which distribution provides the best fit.
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100 points + brainliest for answering correctly, show the work:
(((2367^2 times 12) / -6) - 186734) + ((568531 + 1376^3) times 30)
Answer:
7816422510
Step-by-step explanation:
(((5602689*12)/-6) - 186734) + ((568531+2605285376)*30)
((67232268/-6) - 186734) + (2605853907*30)
( -11205378 - 186734) + 78175617210
−11392112 + (78175617210)
= 7816422510
Nelson ate 7 more peanuts than his sister. Letn represent the number of peanuts that Nelson ate.
Which expression represents the total number of peanuts his sister ate?
Answer:
7-n
Step-by-step explanation:
13. Verify that the difference of two consecutive squares is never divisible by 2 ; that is, 2 does not divide \( (a+1)^{2}-a^{2} \) for any choice of \( a \).
It is verified that the difference of two consecutive squares is never divisible by 2; that is, 2 does not divide (a+1)^2-a^2 for any choice of a.
Let's begin by squaring a+1 and a.
The following is the square of a+1: \((a+1)^{2}=a^{2}+2a+1\)
And the square of a: \(a^{2}\)
The difference between these two squares is: \( (a+1)^{2}-a^{2}=a^{2}+2a+1-a^{2}=2a+1 \)
That implies 2a + 1 is the difference between the squares of two consecutive integers.
Now let's look at the options for a:
Case 1: If a is even then a = 2n (n is any integer), and therefore, 2a + 1 = 4n + 1, which is an odd number. An odd number is never divisible by 2.
Case 2: If a is odd, then a = 2n + 1 (n is any integer), and therefore, 2a + 1 = 4n + 3, which is also an odd number. An odd number is never divisible by 2.
As a result, it has been verified that the difference of two consecutive squares is never divisible by 2.
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What is 100/200 + 300 - 700?
Answer:
-399.5
Step-by-step explanation:
You divide, add, then subtract.
Answer:
-399.5
Step-by-step explanation:
100/200 = 0.5
300 + 0.5 = 300.5
300.5 - 700 = -399.5
(actually did math properly this time)
The marks obtained by 10 student in a test are as follows: 3,7,6,2,8,5,9,1,4 and 10. find the mean mark
Answer:
\(5.5\)
Step-by-step explanation:
Mean:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is
\(\mu = \frac{{\sum}x}{N}\)
The formula for the mean of a sample is
\(\bar{x} = \frac{{\sum}x}{n}\)
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values entered above, the solution is:
\(\frac{55}{10} = 5.5\)
Kyilah bought 41.19 grams of chili and 19.415 grams of sugar. Did Kyilah buy more chili or sugar?
Answer:
Chili I think, I don't know for certain
Step-by-step explanation:
A certain positive number is multiplied by 4, and then the result is subtracted from the original number. The result is 21 less than 0. What is the number?
Answer:
The number is 7
Step-by-step explanation:
certain positive number: x
x is multipled by 4:
4x
result of this is subtracted from the original number:
so original number minus 4x,
x - 4x
the result is 21 less than 0, this means negative 21
x - 4x = 0 - 21 = -21
do algebra:
-3x = -21
multiply both sides by -1
3x = 21
divide both sides by 3
x=7
(certain positive number: x) is equal to 7
The certain positive number is 7
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the positive number be x
x is multiplied by 4:
4x
result is subtracted from the original number:
so original number minus 4x,
x - 4x
the result is 21 less than 0, this means negative 21
x - 4x = 0 - 21 = -21
calculating:
-3x = -21
3x = 21
x = 7
Therefore, the certain positive number x is equal to 7
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Find x, y, and z
x = 39
x = 29
y = 61
y = 29
z = 61
z = 29
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
therefore, x = 29 and z = 61
so, in total :
x = 29
y = 29
z = 61
hope this helps :)
-audrey <3
Which of the following is an equation of a line in standard form? y + (1/2) = -(3/4) (x -0) 3x + 4y = 2 y = -(3/4)x – (1/2)
Answer: y=-(3/4)x-1/2
Step-by-step explanation: To be in standard form the equation or the line must look like y=mx+b
m=the gradient or slope of the line and can take on both positive and negative values and can also be in fraction form
b= where the graph cuts the y axis it can also take on positive and negative values and can also be in fraction form
In this case m=-3/4 and b=-1/2
The temperature at noon at a ski resort is 3°F. The temperature drops 8°F by midnight.
What is the temperature at midnight?
Answer:
-5
Step-by-step explanation:
8 - 3
The answer is the first or last option but I don’t know which one
Answer:
Third Option
Step-by-step explanation:
The triangles are congruent.
Answer:
the answer is C
Step-by-step explanation:
if you read the story again you will see why
How much more organic carbon would be saved annually by using reduced tillage? A. 12,000 g/ha. B. 70 kg/ha. C. 7,000 g/ha. D. 120 kg/ha.
The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.
Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.
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Prove that ABCD is a parallelogram. Given: segment AD and BC are congruent. Segment AD and BC are parallel.
We can conclude that ABCD is a parallelogram based on the given information and the congruence of corresponding parts of congruent triangles.
To prove that ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel.
Given the information that segment AD and BC are congruent and segment AD and BC are parallel, we can proceed with the following proof:
Since segment AD and BC are congruent, we can denote their lengths as AD = BC.
Now, let's assume that the lines AD and BC intersect at point E.
By definition, if AD is parallel to BC, then the alternate interior angles are congruent.
Let's label the alternate interior angles as ∠AED and ∠BEC.
Since AD is parallel to BC, we have ∠AED = ∠BEC.
Now, consider the triangle AED. In this triangle, we have:
∠AED + ∠A = 180° (sum of interior angles of a triangle).
Since ∠AED = ∠BEC, we can substitute to get:
∠BEC + ∠A = 180°.
But we also know that ∠A + ∠B = 180° (linear pair of angles).
Substituting this into the equation, we have:
∠BEC + ∠B = ∠BEC + ∠A.
By canceling ∠BEC on both sides, we get:
∠B = ∠A.
This shows that angle ∠A is congruent to angle ∠B.
Since angle ∠A is congruent to angle ∠B, and angle ∠AED is congruent to angle ∠BEC, we can conclude that triangle AED is congruent to triangle BEC by the angle-side-angle (ASA) postulate.
As a result, the corresponding sides of the congruent triangles are also congruent.
We have AE = BE (corresponding sides of congruent triangles) and AD = BC (given).
Now, considering the quadrilateral ABCD, we have two pairs of opposite sides that are congruent:
AD = BC and AE = BE.
Hence, we have shown that both pairs of opposite sides in ABCD are congruent, which is one of the properties of a parallelogram.
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convert decimal number 0.5625 (or 9/16) to a single-precision floating point number. the answer should be given in hex at the end. (failed to provide steps will result in losing most of the points of the question.)
The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
How to solve for the single-precision floating pointIdentify the sign bit. In this case, the number is positive, so the sign bit is 0.
Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.
Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0001 -> 1
0000 -> 0
0111 -> 7
1110 -> E
0 -> 0
So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
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What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck is on pace.
Step-by-step explanation:
To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.
Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)
Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)
When you do this you can see the mph of the bus is < the mph of the truck.
If you have any questions please leave them in the comments.
SYSTEMS OF EQUATIONS- How many solutions?
Sy = 5x + 12
y = 5x + 18
O one solution
O no solution
O many solutions
Answer:
No solutions
Step-by-step explanation:
They have the same slope(5), meaning that they are parallel. since they are parallel they will never touch, thus there are no solutions
Please help I rlly mean it! :(
To find the solution of a system of equations, you can use the substitution, elimination, or graphing method. However, they gave you the graph.
Therefore, the solution is where the blue and yellow lines meet. For this problem, it is (4,2), so A.
What shod be in the box 3/10 × (box)=1
Answer:
0.333333333
Step-by-step explanation:
0.333333333×0.3=1
3/10=0.3
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
Consider a Poisson process with rate lambda = 2 and let T be the time of the first arrival. Find the conditional PDF of T given that the second arrival came before time t=1. Enter an expression in terms of lambda and t .
We can use Bayes' theorem to find the conditional PDF of T given that the second arrival came before time t=1:
f(T|N(1) = 2) = f(N(1) = 2|T) * f(T) / f(N(1) = 2)
where f(N(1) = 2|T) is the probability that the second arrival occurs before time 1 given that the first arrival occurred at time T, f(T) is the PDF of the time of the first arrival.
f(N(1) = 2) is the probability that the second arrival occurs before time 1, which can be calculated using the Poisson distribution with rate lambda=2:
f(N(1) = 2) = (lambda*1)^2 * e^(-lambda*1) / 2! = 2e^(-2)
To find f(N(1) = 2|T), we note that this is equivalent to the probability that there is exactly one arrival in the interval (T, 1] (since the second arrival occurs before time 1).
This probability can be calculated using the Poisson distribution with rate lambda=2 and interval length 1-T:
f(N(1) = 2|T) = (lambda*(1-T))^1 * e^(-lambda*(1-T)) / 1! = 2e^(-2+2T)
To find f(T), we use the PDF of the exponential distribution with rate lambda=2, since the time of the first arrival in a Poisson process follows an exponential distribution with rate lambda:
f(T) = lambda * e^(-lambda*T) = 2e^(-2T)
Putting it all together, we have:
f(T|N(1) = 2) = f(N(1) = 2|T) * f(T) / f(N(1) = 2)
= 2e^(-2+2T) * 2e^(-2T) / (2e^(-2))
= e^(2-T), for 0 < T < 1
Therefore, the conditional PDF of T given that the second arrival came before time t=1 is f(T|N(1) = 2) = e^(2-T), for 0 < T < 1.
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Find the measure of DCH.
===================================================
Work Shown:
Angles DCH and PCF are congruent because they are vertical angles.
angle DCH = angle PCF
5h+94 = 7h+80
94-80 = 7h-5h
14 = 2h
2h = 14
h = 14/2
h = 7
angle DCH = 5h+94
angle DCH = 5*7+94
angle DCH = 35+94
angle DCH = 129 degrees
angle PCF = 7h+80
angle PCF = 7*7+80
angle PCF = 49+80
angle PCF = 129
We get the same result for both angles, which confirms the correct h value.
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
PLEASE HELP ME
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.
ans - option 4.
first find the perimeter:
70 + 70 + 30 + 30 = 140 + 60 = 200
expression for tiles:
we know that the area of the tiled floor will extend through all 4 sides of the rectangular pool, so we would multiply w^2 (an area of 1 side) by 4 which is 4w^
therefore, the answer is 4w^2 + 200w. Option 4.
 What property is used to do…
-2y + 15 = -23
Answer:
-2y= -23-15
-2y=-38
-y= -38/2
-y=19 proved
how many interior diagonals does a regular nine-sided polygon have? (an interior diagonal is a segment connecting two vertices which do not have an edge between them.)
Step-by-step explanation:
Diagonals of a polygon number = n (n-3) / 2
9 (9-3) / 2 = 27 diagonals in 9-sided polygon