Answer:
V = 628
Step-by-step explanation:
Formula to find volume(V) of cone:
\(v = \frac{1}{3} \pi {r}^{2} h\)
two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. at what time will they pass each other?
The two planes will meet 6 hours after they start, i.e. at 3 pm.
Two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. At what time will they pass each other?
Let's assume the planes A and B leave the two airports that are 2700 miles apart at the same time. The speed of the first plane is 200 mph and the speed of the second plane is 250 mph. To find out the time at which they pass each other, we need to calculate the distance between them and divide it by the sum of their speeds.
Distance traveled by the first plane in time t1 is equal to 200t1.Distance traveled by the second plane in time t2 is equal to 250t2.The distance covered by the first plane and the second plane together will be 2700 miles.Time taken by both the planes to meet can be calculated as below:
t1 + t2 = 2700/(200+250) = 6 hoursAs both the planes start at 9 am, they will meet each other after 6 hours of their journey. Therefore, they will pass each other at 3 pm. This is the required answer. Explanation: So, the two planes will meet 6 hours after they start, i.e. at 3 pm.
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I need helppppp for this question
Answer:
too small
Step-by-step explanation:
In the expression 2 ^3, the 3 is known as the
Answer:
3 is known as the power of 2.
Answer:
The three is the exponent, it is also called power so 2 to the power of 3
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a triangle? {6,8,14} {13,20,34} {11,14,22} {13,20,35}
The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.
To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let's evaluate each set of numbers:
1. {6, 8, 14}
The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.
2. {13, 20, 34}
The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.
3. {11, 14, 22}
The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.
4. {13, 20, 35}
The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.
In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.
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Evaluate.
{4−[−2−(1+3)]}⋅(−6)
(answers)
−13
−32
−48
−60
Answer:
-60
Step-by-step explanation:
Evaluate:First do the operation in the inner most brackets.
{4 - [-2 - (1 + 3)] }*(-6) ={ 4 - [-2 - 4] } * (-6)
= { 4- [ -2 - 4] } * (-6)
= {4 - [-6] } * (-6)
= { 4 + 6} * (-6)
= 10 * (-6)
= -60
Consider a regular 52-card deck. if you pick a card randomly and then replace it 5 times, what is the probability of getting an ace exactly two times?
The fact that the cards are replaced means that the probability of picking an ace exactly two times after replacing the card 5 times is 0.47%
What is the probability of picking two aces?As the cards are replaced, this makes this an independent probabilities problem.
The probability of getting an ace exactly two times is:
= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³
Solving gives:
= 4/52 x 4/52 x (48/52)³
= 0.00465
= 0.47%
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The expression 16t² represents the distance, in feet, an object falls after t seconds. The object is dropped from a height of 906 feet.
Complete Question:
The expression 16t² represents the distance in feet an object falls after t seconds. The object is dropped from a height of 906 feet. What is the height in feet of the object 2 seconds after it is dropped?
Answer:
H(2) = 842 feet
Step-by-step explanation:
Let the height be H.
Given the following data;
H(t) = 16t²
Height, H = 906 feet
Time, t = 2 seconds
To find the time, t at 2 seconds, we would use the following formula;
H(t) = H - 16t²
H(2) = 906 - 16(2)²
H(2) = 906 - 16*4
H(2) = 906 - 64
H(2) = 842 feet
Therefore, the height in feet of the object 2 seconds after it is dropped is 842.
The weight of an object on a particular scale is 145.2 lbs. The measured weight may vary from the actual weight by at most 0.3 lbs. What is the range of actual weights of the object? A. 144.9 >= x >= 145.5 B. x <= 144.9 or x >= 145.5 C. 144.9 >= x <= 145.5 D. 144.9 <= x <= 145.5
The corresponding option that represents this range is D.) 144.9 ≤ x ≤ 145.5. Option D
To determine the range of actual weights of the object, we need to consider the maximum possible deviation from the measured weight. Given that the measured weight may vary from the actual weight by at most 0.3 lbs, we can calculate the range by subtracting and adding this maximum deviation from the measured weight.
Let's denote the actual weight as x. The measured weight is 145.2 lbs, and the maximum deviation is 0.3 lbs.
To find the range, we subtract and add the maximum deviation to the measured weight:
x - 0.3 ≤ actual weight ≤ x + 0.3.
Substituting the given measured weight of 145.2 lbs, we have:
145.2 - 0.3 ≤ actual weight ≤ 145.2 + 0.3.
Simplifying the expressions, we get:
144.9 ≤ actual weight ≤ 145.5.
Therefore, the range of actual weights of the object is represented by the inequality 144.9 ≤ x ≤ 145.5. Option D
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explain how, in the fewest possible number of moves, you would measure out exactly 1 gallon of water. note that, if you dump out a jug, you have to dump it out completely, that means it is illegal to, for example, fill up the 12-gallon jug and then dump it into both the 3-gallon jug and the 8-gallon to leave behind 1 gallon in the 12-gallon jug.
To measure out exactly 1 gallon of water we need exactly six possible number of moves.
To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps
Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.
Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.
Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.
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Eric puts two angles together to form a straight angle one angle measures 115 degrees what is the measurements of the other angle
Answer:
Una secadora de cabello tiene una resistencia de 10Ω al circular una corriente de 6 Amperes, si está conectado a una diferencia de potencial de 120 V, durante 18 minutos ¿Qué cantidad de calor produce?, expresado en calorías
Answer:
65 degrees
Step-by-step explanation:
The measure of a straight angle is 180 degrees
115-180=65
the sides of an equilateral triangle inscribed in a circle are closer to the center of the circle than the sides of a square inscribed in the circle
Yes, that is correct. The sides of an equilateral triangle inscribed in a circle are closer to the center of the circle than the sides of a square inscribed in the same circle.
This is because an equilateral triangle has all its vertices on the circumference of the circle, whereas a square has only four of its vertices on the circumference. As a result, the sides of the equilateral triangle are closer to the center of the circle than the sides of the square. This property of inscribed shapes is important in geometry and has many practical applications in fields such as architecture and engineering.
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Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
The coach's errors are;
Wrong conversion when converting hour to secondsThe wrong conclusion since Eliza was running fast enough at a speed of 34ft/s compared to 8.8ft/sWhat is speed?
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given the speed that Aliza needs to run in order to exceed her fastest time in a race = 8.8 feet per second
If her coach determines that she is running at an average rate of 5.8 miles per hour, we need to first convert the speed her coach assumed to feet per second
Convert 5.8miles to feet per second
According to the coach's conversion
\(=5.8\times \dfrac{1}{15}\times 5280\times \dfrac{1}{60}\)
This shows that 5.8mi/hr is equivalent to 34.0ft/s according to the coach conversion rate.
From the coach's calculation, we see that the coach made the first error by using 60s as 1hr instead of 3600s as 1hr
The coach also made an error by saying Eliza is not running fast enough to exceed her fastest time. We can see that Eliza was running fast enough since her speed at 34ft/s exceed 8.8ft/s.
Hence the second error was a wrong conclusion made by the coach.
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In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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Help please I will give brainlest
(60 POINTS)
If a polynomial f(x) has a remainder of -4 when divided by x-8, what is f(8)?
The value of f(8) is -4.
What is a polynomial?Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
For example, 4x + 5x - 1 is a polynomial.
We can consider the polynomial to be:
f(x) = x - 12 so that when we divided by x - 8 we get a remainder of -4.
i.e
(x - 12) / (x-8)
x - 8 ) x - 12 ( 1
x - 8 [ (x - 8) x 1 = x - 8 ]
-4 [ we change the sign of the coefficient ]
[ x - 8 becomes (-x + 8) ]
[ x gets canceled and -12 + 8 = -4 ]
We see that the quotient is 1 and the remainder is -4.
Now,
We can use this polynomial f(x) = x - 12.
f(8) = 8 - 12 = -4
We can also directly say that the value of f(8) is -4 because the remainder is given as -4.
Thus,
The value of f(8) is -4.
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1. Write an expression for the operation described below.
w minus 3
The expression for the operation w minus 3 is w - 3.
What is an expression?It should be noted that an expression simply shows the relationship between the variables given.
In this case, the information given is illustrated as w minus 3.
Therefore, the expression will be:
= w - 3.
Therefore, the expression for the operation w minus 3 is w - 3.
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Apostrophes are used to indicate __________.
long quotations
lists
appositives
possession
possessions because lists use commas and appositives replace nouns.
---
hope it helps
Answer:
DDDDDD possession
Step-by-step explanation:
this is area right???
Answer:
Yes
Step-by-step explanation:
So permiter is two*lengths plus 2*width of a shape.
Area is the length times the width.
For examplel if a square has a length of 2, and a width of 3 the permiteter is:
2*2+3*3=
4+9
=
13
On the other hand, area would be:
2*3
=
6
I hope this helps!
assume that y is binary, that a is not independent of y , and that r is not independent of y . then, independence ( r⊥a ) and separation ( r⊥a|y ) cannot both hold. give a counterexample that shows that this claim does not hold if y assumes three distinct values
The claim that independence (r⊥a) and separation (r⊥a|y) cannot both hold is not universally true when y assumes three distinct values.
To show that the claim does not hold when y assumes three distinct values, let's consider a counterexample.
Assume that y can take three values: y1, y2, and y3. We'll construct a scenario where independence (r⊥a) and separation (r⊥a|y) both hold.
Counterexample:
Suppose we have the following probabilities:
P(r=0|y=y1) = 0.5
P(r=1|y=y1) = 0.5
P(r=0|y=y2) = 0.5
P(r=1|y=y2) = 0.5
P(r=0|y=y3) = 0.5
P(r=1|y=y3) = 0.5
Now, let's consider the probabilities for a:
P(a=0|y=y1) = 0.5
P(a=1|y=y1) = 0.5
P(a=0|y=y2) = 0.5
P(a=1|y=y2) = 0.5
P(a=0|y=y3) = 0.5
P(a=1|y=y3) = 0.5
In this scenario, we can observe that:
Independence holds:
P(r⊥a) = P(r) * P(a)
= 0.5 * 0.5
= 0.25
Separation holds:
P(r⊥a|y) = P(r|y) * P(a|y)
= 0.5 * 0.5
= 0.25
Therefore, in this counterexample, independence (r⊥a) and separation (r⊥a|y) both hold even when y assumes three distinct values.
In conclusion, the claim that independence (r⊥a) and separation (r⊥a|y) cannot both hold is not universally true when y assumes three distinct values.
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What number should be multiplied by 5.8 so that the answer is 47.096?
Given
What number should be multiplied by 5.8 so that the answer is 47.096
Answer
Let x be multiplied to 5.8
\(\begin{gathered} 5.8x=47.096 \\ x=\frac{47.096}{5.8} \\ x=8.12 \end{gathered}\)Which of the following were the Vikings know for?
They were warriors who took prisoners all throughout Europe and used swords and axes in battle. Option C i.e. both these is the answer.
They were also skilled boat builders and sailors. The Vikings gained notoriety for setting sail from their native Scandinavia and engaging in international trade. The Vikings nearly destroyed the entirety of Europe at various points, and their impact was felt all across.
They were adept at building ships and armaments, and due to their practicality, designs for these items were adopted by a number of militaries around the world. A number of cultures were influenced by their traders' international trade in jewelry and other commodities because they were also excellent metalworkers.
The given question is incomplete, the complete question is:
Which of the following were the Vikings known for? a. using both swords and axes in battle b. being the only fighters across Europe to take prisoners c. both of these d. neither of these
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
How do u find an area of a cuboid?
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces.
-7 1/7 * (3 2/5)+6 3/5*(-71/7)=x
Answer:
x = -91 8/35
Step-by-step explanation:
Challenging, but lets take it step by step. We have two sets each of complex fractions being multiplied, and then added. As per PEDMAS, do the multiplication first and then add. [I changed the -71/7 as per your note in the comment section.]
[-7 1/7 * (3 2/5)] + [6 3/5*(-7 1/7)] = x
Convert the two numbers into fractions. Eg., 7 1/7 becomes 50/7 and 3 2/5 becomes 17/5. 6 3/5 becomes 33/5 and 7 1/7 becomes 50/7.
[-50/7 * (17/5)] + [33/5*(-50/7)] = x
Now multiply the numerators and denominators.
[-850/35] + [-2343/35] = x
Now we can add the two fractions since they have the same denominator.
-(3193/35) = x
x = -91 8/35
hi I'm Danica and it's sixth grade I would really like if you look over this problem and tell me the answer(sending it rn)!!!!!!!!!!!!!!!!!hiii!!!!!!!!!!!!!!hi I'm Danica and it's sixth grade I would really like if you look over this problem and tell me the answer(sending it rn)!!!!!!!!!!!!!!!!!hiii
Grapes are 80% water (by weight) and raisins are 20% water (by weight). If we start with 500 grams of grapes and remove enough water to turn them into raisins, then what is the weight of the raisins?
Answer:
125 gm :)
Step-by-step explanation:
wanda summers teaches 10th grade english. if she is paid a weekly salary of $750.00 what is her annual salary
Answer: 39,000 dollars
Step-by-step explanation: weekly salary multiplied by how many weeks are in a year(52)
Determine if the table is proportional or nonproportional
The answer is nonproportional.
In the last 10 presidential elections the democratic candidate has won six times in michigan and four times in ohio
In the last 10 presidential elections, the Democratic candidate has won six times in Michigan and four times in Ohio.
In the context of presidential elections, Michigan and Ohio are two key swing states that often play a crucial role in determining the outcome of the overall election. The statement indicates that in the last 10 presidential elections, the Democratic candidate emerged victorious six times in Michigan and four times in Ohio.
This information suggests that Michigan has been a more favorable state for the Democratic candidate compared to Ohio in recent election cycles. The Democratic candidate's success in Michigan for six out of the last 10 elections implies a higher level of support or electoral advantage in that state.
On the other hand, the Democratic candidate won four out of the last 10 elections in Ohio, indicating a relatively more balanced or competitive political landscape in that state. While the Democratic candidate has had some success in Ohio, the Republican candidate likely secured victories in the remaining six elections.
The varying electoral outcomes in these swing states highlight the importance of analyzing the political dynamics, demographics, and voting patterns within each state to understand the factors that contribute to election results. These results can provide insights into the electoral strategies, voter preferences, and overall political landscape of Michigan and Ohio.
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I NEED HELP!!! PLZ HELP!!!!!!!!!
Answer: $26.50
Step-by-step explanation:
At Tire Mart, the tires cost 4(122.57)=$490.28, and thus the flat fee was $65.
At Fast Wheels, the fires cost 4(136.71)=$546.84, and thus the flat fee was $38.50.
So, the difference was $65 - $38.50 = $26.50