Answer:
The rocket will take 4.5 seconds to reach its maximum height.
Step-by-step explanation:
The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t
This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0
To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: \(x=\frac{-b}{2*a}\). The y coordinate of the vertex corresponds to the function evaluated at that point.
In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:
\(t=\frac{44.1}{2*(-4.9)}\)
t=4.5
The rocket will take 4.5 seconds to reach its maximum height.
two angles that add up to 90 degrees are called ________ angles.
two angles that add up to 90 degrees are called complementary angles.
hi i’ll give brainliest if anyone answers this right
Answer:
48°
Step-by-step explanation:
pls mark me as brainlist
Does anyone know this cause I need to understand how to do this.
Answer:
Triangle TSR
Step-by-step explanation:
This triangle is congruent to triangle FED because 3 angles and 3 sides You start with D because angle F is congruent to angle D
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.
Given:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.
In another shopping bag she has a 5-pound bag of flour.
The two shopping bags weigh the same amount.
To find:
The weight of each bag of dried beans.
Solution:
Let x be the weight of each bag of dried beans.
So, weight of 6 bags of dried beans = 6x.
According to the question,
Weight of first bag = (6x + 2) pounds
Weight of second bag = 5 pounds
The two shopping bags weigh the same amount. So,
\(6x+2=5\)
\(6x=5-2\)
\(6x=3\)
Divide both sides by 6.
\(x=\dfrac{3}{6}\)
\(x=0.5\)
Therefore, the weight of each bag of dried beans is 0.5 pounds.
The weight of each bag of dried beans is 0.5 pounds.
Given that,
Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.Based on the above information, the calculation is as follows:
6x + 2 = 5
6x = 5 -2
6x = 3
x = 0.5
Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.
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If tori decides to make 200 chocolate chip cookies and no vanilla sprinkle cookies, which constraint would be binding?.
Oven hours are a binding constraint because Tori needs 0.04 x 200, or 8 hours, to manufacture 200 chocolate chips, and the same is true for the upper-level restriction.
Binding restrictions are those whose removal would lead to the largest advances in entrepreneurship and growth. Some locations are unbound. The dual value measures how much the objective function's value rises for each additional unit of the variable's value. A constraint's dual value only deviates from zero when it equals its bound.
This is a binding constraint, and during optimization, its value was pushed as close as possible to the bound. If your answer matches the Right-Hand Side (RHS) of the inequality, the constraint is BINDING. If your response does not match the RHS of the inequality, the constraint is NON-BINDING.
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Solve the system using elimination. 3x – 4y = 9 –3x + 2y = 9
Answer:
X=9
Y=-9
Step-by-step explanation:
3x - 4y =9
-3x +2y=9 cross 3x and - 3x since they're opposite ــــــــــــــــــــــــ
-4y +2y =9 +9
-2y =18
Y =-18/2
Y= -9
Replace y in the first equation:
3x - 4 (-9)=9
3x +36=9
3x = 27
X= 27/3
X= 9
Hope this helps you.. Good luck
Answer:
x=-9 and y=-9
Step-by-step explanation:
From a population of size 500, a random sample of 50 items is selected. The mode of the sample a. can be larger, smaller or equal to the mode of the population. b. must be equal to the mode of population, if the sample is truly random. c. must be equal to the mean of the population, if the sample is truly random. d. must be 500.
The sample mode might be greater, smaller, or equal to the population mode. Even if the sample is genuinely random, it does not have to be equal. The sample size is 50 rather than 500.
The mode of a population or sample is the value that occurs the most frequently within the set. A sample's mode might be greater, less, or equal to the population's mode. This is due to the fact that the sample is a subset of the population and may not include the same values, even if it is genuinely random. If the population's mode is 10, the mode of a sample drawn from it may be 12. The sample mode does not have to be identical to the population mean because they are computed differently. The mode is the most common value, whereas the mean is an average. Lastly, the sample size must be 50, not 500. This is due to the fact that the sample is a subset of the population and comprises just 50 items.
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Which graph represents the function
f(x)=√x+3-4
Answer:
I believe it is the last option but I'm not completely sure because the pic is blurry. But if the beginning of the graph is at (-3, -4) then the last option is definitely correct.
Step-by-step explanation:
Remember h controls horizontal movement k controls vertical movements.
always remember to take the opposite of h.
;)
simplify the expression using the rules for exponents.(a^-4b^5c^4)^4/(a^2b^4c)^-1 write you’re answer without negative exponents.
The simplified expression without negative exponents is a^-14 * b^24 * c^17.
To simplify the expression (a^-4b^5c^4)^4 / (a^2b^4c)^-1 without negative exponents, we can apply the rules for exponents. Let's break down the steps:
Simplify the numerator.
(a^-4b^5c^4)^4
To simplify the numerator, we apply the power rule for exponents, which states that raising a power to another power requires multiplying the exponents. In this case, we raise each term inside the parentheses to the power of 4:
a^(-4 * 4) * b^(5 * 4) * c^(4 * 4)
= a^-16 * b^20 * c^16
Simplify the denominator.
(a^2b^4c)^-1
To simplify the denominator, we apply the power rule for exponents again. Since the entire expression is raised to the power of -1, we can invert the base and change the sign of the exponent:
(a^2b^4c)^-1 = 1 / (a^2b^4c)
Combine the numerator and denominator.
(a^-16 * b^20 * c^16) / (1 / (a^2b^4c))
To divide by a fraction, we can multiply by its reciprocal:
(a^-16 * b^20 * c^16) * (a^2b^4c) / 1
= a^-16 * a^2 * b^20 * b^4 * c^16 * c / 1
= a^(-16 + 2) * b^(20 + 4) * c^(16 + 1)
= a^-14 * b^24 * c^17
Therefore, the simplified expression without negative exponents is a^-14 * b^24 * c^17.
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Find the singular points of the following equation and determine whether each one is regular or irregular sin(x)y" + xy + 4y = 0. Problem 5. Find the singular points of the following equation and determine whether each one is regular or irregular æ sin(x)y" + 3y + xy = 0.
the singular points of the equation sin(x)y+xy+4y=0 are (-π/2, 0), (3π/2, 0) and both of them are regular.
The given equation is sin(x)y+xy+4y=0. The equation can be written as y(sin(x)+x+4)=0This equation has 2 factors namely, y and (sin(x)+x+4)To get the singular point of the equation, we equate both factors to 0 sin(x)+x+4=0
We can find the singular point by differentiating the equation w.r.t. x, so, the derivative of sin(x)+x+4 is cos(x)+1=0 cos(x)=-1x= (2n+1)π-π/2,
where n is an integer.Then we can find the corresponding values of y. Hence the singular points are (-π/2, 0), (3π/2, 0).We need to determine whether these points are regular or irregular.The point is regular if the coefficients of y and y' are finite at that pointThe point is irregular if either of the coefficients of y and y' are infinite at that pointNow let's find out the values of y' and y'' for the given equation
y' = -[y(sin(x)+x+4)]/[sin(x)+x+4]²y'' = [y(sin(x) + x + 4)²-cos(x)y] /[sin(x)+x+4]³
For (-π/2,0) values are: y=0, y'=0, y''=0
Since both y' and y'' are finite, this point is regularFor (3π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regular
Singular points of the differential equation are the points where the solution is not continuous or differentiable. The solution breaks down at such points. These are the points where the coefficients of y and y' of the differential equation are zero or infinite.
In the given question, we are supposed to find the singular points of the equation sin(x)y+xy+4y=0 and determine whether they are regular or irregular. To find the singular points, we need to first factorize the equation. We get:y(sin(x)+x+4)=0
Hence the singular points are (-π/2, 0), (3π/2, 0).Now we need to find out whether these points are regular or irregular. A point is said to be regular if the coefficients of y and y' are finite at that point. A point is irregular if either of the coefficients of y and y' are infinite at that point.
For (-π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regularFor (3π/2,0) values are: y=0, y'=0, y''=0Since both y' and y'' are finite, this point is regular. Hence both singular points are regular.
we can say that the singular points of the equation sin(x)y+xy+4y=0 are (-π/2, 0), (3π/2, 0) and both of them are regular.
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what is the equation in slope intercept form of the line that passes through the point (2,-5) and is parallel to the line represented by 8x+2y=14
Answer: y = -4x + 3
Step-by-step explanation:
First, we will write 8x+2y=14 in slope-intercept form.
8x+2y=14
2y = -8x + 14
y = -4x + 7
Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.
y = -4x + b
(-5) = -4(2) + b
-5 = -8 + b
b = 3
Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.
y = -4x + 3
In this exercise, we will examine how replacement policies impact miss rate. Assume a 2-way set associative cache with 4 blocks. To solve the problems in this exercise, you may find it helpful to draw a table like the one below, as demonstrated for the address sequence "0, 1, 2, 3, 4." Contents of Cache Blocks After Reference Address of Memory Block Accessed Evicted Block Hit or Miss Set o Set o Set Set 1 Miss Miss Miss Mem[O] Mem[O] Mem[0] Mem[O] Mem[4]. 21. Mem[1]. Mem[1] Mem[1] Mem[1] Miss Mem[2]. Mem[2] Mem[3] Mem[3] Miss Consider the following address sequence: 0, 2, 4, 8, 10, 12, 14, 8, 0. 4.1 - Assuming an LRU replacement policy, how many hits does this address sequence exhibit? Please show the status of the cache after each address is accessed. 4.2 - Assuming an MRU (most recently used) replacement policy, how many hits does this address sequence exhibit? Please show the status of the cache after each address is accessed.
There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.
How to explain the sequenceLRU replacement policy
There are 5 hits and 3 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the LRU replacement policy.
The status of the cache after each address is accessed is as follows:
Address of Memory Block Accessed | Evicted Block | Hit or Miss
--------------------------------|------------|------------
0 | N/A | Hit
2 | N/A | Hit
4 | 0 | Miss
8 | 2 | Hit
10 | 4 | Miss
12 | 8 | Hit
14 | 12 | Miss
8 | 14 | Hit
0 | 8 | Hit
4.2 - MRU (most recently used) replacement policy
There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.
The status of the cache after each address is accessed is as follows:
Address of Memory Block Accessed | Evicted Block | Hit or Miss
--------------------------------|------------|------------
0 | N/A | Hit
2 | N/A | Hit
4 | 0 | Miss
8 | 2 | Hit
10 | 4 | Miss
12 | 8 | Hit
14 | 10 | Miss
8 | 12 | Hit
0 | 14 | Hit
As you can see, the LRU replacement policy results in 1 fewer miss than the MRU replacement policy. This is because the LRU policy evicts the block that has not been accessed in the longest time, while the MRU policy evicts the block that has been accessed most recently.
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3. What is the value of x in the figure
below?
Answer:
3 = 14 and 4 = 8
Step-by-step explanation:
The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.
A new school building was recently built. the entire cost of the project was $18,000,000 the city has put the project on a 30 year loan with an APR of 2.7% there are 17,000 families that will be responsible for making payments towards the loan. determine the total amount that each family should be required to pay each year to cover the cost of the new school building.
We will have the following:
Assumin it is compounded once each year, we will first determine the total to be paid each year overall:
\(18000000=P(1+\frac{0.027}{1})^{1\cdot30}\Rightarrow P=\frac{18000000}{(1+0.027)^{30}}\)\(\Rightarrow P=8093925.398\)Now, we simply divide by the total number of families and we determine the amount of money each family will pay:
\(=P_f=\frac{8093925.398}{17000}\Rightarrow P_f=476.1132587\ldots\)\(\Rightarrow P_f=476.1\)So, each famiy will pay approximately $476.11 each year.
Which of the following results in the expression 0.22 x 86? SVE ME PLZ
Answer:
18.92
Step-by-step explanation:
It simple mutiplication put it like this and do the math!
86
X 00.22
--------------- Or do it like 86/0.22
1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?
1/7 of the animals in the zoo are male monkeys.
What fraction of the animals in the zoo are male monkeys? Explain with workings.
To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.
Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:
= 1/5
= 5/25.
And 5/7 of the monkeys are male which is written as 5/7.
To get fraction of male monkeys, we will multiply these two fractions:
= (5/25) * (5/7)
= 25/175
= 1/7.
Full question:
1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?
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When a record player needle is placed on the outside
edge of a vinyl disc, determine how far the needle
travels in one rotation. Use 3.14 for r. Round to the
nearest tenth?
Answer:
#1- 15.7 in.
#2- 37.7 in.
#3- 29.8 in.
#4- 113.04 m
#5- 114.6ft
#6- 44ft
Answer:
Step-by-step explanation:
C = 3.14 (12)
C = 37.68 rounded to the nearest tenth: 37.7 inches
In an unconstrained maximization problem with a discrete choice variable, the optimal level of the activity is the last level for which ________.
In an unconstrained maximization problem with a discrete choice variable, the optimal level of the activity is the last level for which the marginal benefit is equal to the marginal cost.
In an unconstrained maximization problem with a discrete choice variable, the decision maker will choose the level of the activity that maximizes the marginal benefit minus the marginal cost. This will be the last level of the activity for which the marginal benefit is equal to the marginal cost.
For example, let's say that you are trying to decide how many hours to spend studying for an exam. You know that the more hours you study, the higher your grade will be, but you also know that studying for long periods of time can be counterproductive. In this case, the optimal number of hours to study would be the last number of hours for which the additional benefit of studying one more hour is equal to the additional cost of studying one more hour.
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a pie shop offers 20% off the price of a large pie every Monday night. If the regular price is $22, what is the discounted price?
brainliest to answrer
Answer:
$17.60
Step-by-step explanation:
20% of $22 is $4.4 - Subtract $4.40 from $22 to calculate the discounted price: $17.60
Hope this helped! :)
Which is a linear equation?
Answer:
Step-by-step explanation:
eq of first degree is a linear equation.
y=x+1
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
Ashley and Stephanie went shopping for Father's Day at the same store. Stephanie spent $105 for 2 t-shirts and 3 pairs of shorts. Ashley bought 3 t-shirts and 2 pairs of shorts for $95. What was the cost of a pair of shorts? (Hint The equation for Ashley's purchases is 3T+2S = 95 First determine the equation for Stephanie's purchases and then solve the system of equations using matrices) a. $10 for shorts b. $17 for shorts c. $25 for shorts d. $15 for shorts
The cost of a pair is D) $15 for shorts.
To solve this problem, we need to set up a system of equations based on the information given for both Stephanie and Ashley's purchases. Let T be the cost of a t-shirt and S be the cost of a pair of shorts.
For Stephanie's purchases, we have:
\(2T + 3S = 105\)
For Ashley's purchases, we have:
\(3T + 2S = 95\)
Using matrices, we can solve this system of equations by setting up the augmented matrix and using row operations:
[2 3 | 105]
[3 2 | 95]
After row operations, we get:
[1 0 | 15]
[0 1 | 25]
Therefore, the cost of a pair of shorts is $15.
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Step 1: Using one-step equations to solve problems.
a)
Suppose you send about 12 text messages a day, and your older sister sends
more text messages than you do. Together, you send a total of about 26 messages
per day. About how many text messages does she send a day? Write an equation
and solve for the unknown value. (2 points)
I
Answer:
Total messages - Your messages = sisters amount of messages
TM - YM=SM (sisters messages)
26-12=14 is the amount of messages your sister sent in a day
Answer:
26-12=14
Step-by-step explanation:
:))))
Please help basic Geomerty question!
Answer:
Point B :(6, 7)
Step-by-step explanation:
Point B:(x, y)
1= - 4+x/2
2= - 4+x
x=6
7.5= 8+y/2
15= 8+y
y=7
Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.
Answer: $8 21 quarters
Step-by-step explanation:
20 quarters is $5 plus another is $5.25
8 dollars is $8 plus the $5.25 = $13.25
Have a nice day, and if you could be so kind as to give me a brainliest
If we want to decrease the type ii error in a hypothesis test while maintaining type i error at its current level we should:_______
To decrease the type II error in a hypothesis test while maintaining the type I error at its current level, we need to increase the sample size.
What is detailed explaination of the given answer?Type I error shows when we reject a null hypothesis which is actually true. Type II error shows when we fail to reject a null hypothesis which is actually false.
Increasing the sample size can decrease the probability of making a Type II error, as it increases the power of the hypothesis test. Probability of correctly rejecting a false null hypothesis is called power.
By increasing the sample size, we can increase the power of the test while maintaining the significance level (and thus the type I error) at its current level.
This means that we will be less likely to miss a true effect (i.e., lower the probability of making a Type II error) while still controlling the probability of false positives (i.e., Type I error) at the desired level.
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Help please guys if you don’t mind
Answer:
first
2/5m + 8/5
second
22/5
third
11
the quadratic equation -2w^2-6+80 will be zero when w equals
Answer:
Answer: x will be equal to 5 and -8
Step-by-step explanation:
\({ \tt{ - 2 {w}^{2} - 6w + 80 = 0 }} \)
» Divide all equation through out by -2:
\( { \tt{ {w}^{2} + 3w - 40 = 0}}\)
» Factorise the equation quadratically:
\({ \tt{(x - 5)(x + 8) = 0}} \\ { \tt{x = 5 \: \: and \: \: - 8}}\)
PLS HELP ASAP FOR BRAINLIEST
Answer:
y=3
Step-by-step explanation:
it is because X=-2 had crossed the point y=3
hope this help you!!!! ;))))))
A walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the
equation that represents the new path.
Answer:
y = 1/3 x +4
Step-by-step explanation:
m = 1/3
3 = 1/3(-3) + b
3 = -1 +b
b=4