Answer: The length of the room on blueprint = 10 feet.
Step-by-step explanation:
Given: On blueprint,
\(\dfrac14\) inch = 2 feet
i.e. 1 actual feet = \(2\times\dfrac 14 =\dfrac12\text{ inch}\)
If the actual length of 20 feet, the length of a room on blueprint = \(20\times\dfrac12\text{ feet}\)
= 10 feet.
Hence, the length of the room on blueprint = 10 feet.
What is the slope?
A) 2/1
B)1/2
C)-2/1
D)-1/2
Answer:
The slope is 1/2, so B is correct.
Answer:B is correct
Step-by-step explanation: it goes up 1=y and right 2=x and y/x
hello everyone ,
i am having some problems solving this question in maths
Arrange 13.25 kg, 14560 g, 13.6 kg, 12000 g in descending order ,
Write the following decimals as fractions. Reduce the fractions to lowest
form.
a) 3.6 b) 12.5
i hope u also consider explaining
thank you all .
Answer:
Descending order:
14560g
13.6kg
13.25kg
12000g
a.) \(\frac{18}{5}\)
b.) \(\frac{25}{2}\)
Step-by-step explanation:
To find the difference between kg or g, either divide kg by 100 to convert to g, or multiply g by 1000 to convert to kg.
If we were to put everything into g:
14560g
13600g
13250g
12000g
See how they are still in the correct order?
If we were to put everything into kg:
14.56kg
13.6kg
13.25kg
12kg
Still in descending order!
___________________
Now to find out how to put the decimals into fractions:
Multiply by 10 (since there is only 1 digit behind the decimal, for every digit behind the decimal you multiply by another factor of 10, so if you have 2.55 you multiply by 100)
Following this we get:
36
125
Now divide by the same factor (10), we can't change the value of the number, just the way they look!
\(\frac{36}{100}\)
\(\frac{125}{10}\)
All that's left is it reduce!
\(\frac{18}{5}\)
\(\frac{25}{2}\)
And as you can see, we are back to the number I had put in the solution!
Does anyone know the answer to this? I’m getting confused
Answer:
0
Step-by-step explanation:
Substitute b into -3.
Hence,
(b+3)(b²-5b+7)=(-3+3)(-3²-15+7)
=(0)(1)
=0
A large hotel has 444 rooms. There are 5 floors, and each
floor has about the same number of rooms. Which number
is a reasonable estimate of the number of rooms on a floor? ANSWER FASTTT
Answer:
88 rooms
Step-by-step explanation:
444 / 5 = 88.8
PLEASE HELP WILL MARK BRAINLY
(ATTACHED)
Answer:
$3.60
282.6
80
576 in
175
45
3.12
31.7
10
36
9
36
-3,√3,3,3² and √3
1/4
√64
9
1.6
4x
1
3
Step-by-step explanation:
24*.15=3.6
200=2.5*speed
speed=80
1:1/12
x:48
576 in
35=.2*x
x=175
30*1.5=45
48*.065=3.12
.5*(2π*5)=15.7
15.7+6+10=31.7
24²+a²=26²
a²=100
a=10
Pretty sure it's just 36
Volume of a cylinder :πr²*h
10*3²*π=282.6
8:12
6:x
x=9
2x+3x=90
x=18
2*18=36
-3,√3,3,3²
1/2*1/2=1/4
√64=8
3x-12+x=24 ,
4x=36
x=9
12.5w=20
w=1.6
2xy*6x²=12x³y
12x³y/(3x²y)=4x
3²+(-2)³
9-8=1
-18-6= -24
-2-2-4= -8
-24/-8=3
Calculate
H
ˉ
0
(2000 K)−
H
ˉ
0
(0 K) for H(g)
The value of ΔH°(2000 K) - ΔH°(0 K) for H(g) is the enthalpy change of formation of H(g) at 2000 K minus the enthalpy change of formation of H(g) at 0 K.
What is the enthalpy change of formation of H(g) at 2000 K?The enthalpy change of formation (ΔH°f) is the heat energy released or absorbed when one mole of a substance is formed from its elements in their standard states. To calculate ΔH°(2000 K) for H(g), we need to find the enthalpy change of formation of H(g) at 2000 K.
At 2000 K, H(g) is in a gaseous state. To determine its enthalpy change of formation, we compare it to the elements in their standard states. The standard state of hydrogen is H₂(g) at 298 K and 1 atm. Thus, we need to consider the energy required to convert H₂(g) at 298 K and 1 atm to H(g) at 2000 K.
The enthalpy change of formation at a specific temperature can be calculated using the equation:
ΔH°(T₂) = ΔH°(T₁) + ∫Cp(T)dT
Where ΔH°(T₂) is the enthalpy change of formation at temperature T₂, ΔH°(T₁) is the enthalpy change of formation at temperature T₁ (in this case, 298 K), Cp(T) is the heat capacity of the substance as a function of temperature, and the integral is taken over the temperature range from T₁ to T₂.
To obtain an accurate calculation, we would need the specific heat capacity data for H(g) over the temperature range from 298 K to 2000 K. Unfortunately, without this data, we cannot provide a precise value for ΔH°(2000 K) for H(g).
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Can someone please help?
Simplify, 81^1/4
Answer:
3
Step-by-step explanation:
81^(¼) can also be witten as the fourth root of 81, which happens to be 3.
Answer:
3
Step-by-step explanation:
(3*(to the fourth power))1/4
P = 2 (l+h) when L=6 and h=3
Answer:
p= 18
Step-by-step explanation:
The graph of which equation is parallel to the graph of 4x - 3 = 12?
The graph of the equation that is parallel to 4x – 3y = –12 is determined as: A. y = 4/3x - 3/2.
What is the Equation of Parallel Lines?If two lines are parallel to each other, their graph will have the same slope value, m. This means if their equations are expressed as y = mx + b in slope-intercept form, they will both have the same value of m.
Given the equation of a graph as 4x - 3y = -12, rewrite it in slope-intercept form to determine the slope value:
4x - 3y = -12
-3y = -4x - 12
-3y/-3 = -4x/-3 - 12/-3
y = 4/3x + 4
This means the slope, m is 4/3. The slope of the graph that is parallel to it will also have a slope of 4/3.
The slope of y = 4/3x - 3/2 is also 4/3, therefore, the answer is: A. y = 4/3x - 3/2.
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Complete Question:
The graph of which of the following will be parallel to the graph of 4x – 3y = –12?
A. y = 4/3x - 3/2
B. 6x - 4y = -8
C. y = 3/4x +1
D. 4x – 2y = –12
can someone help plzzz asappp :///
Answer:
I believe answer choice A
Step-by-step explanation:
Answer:
I thin that the answer is A
Step-by-step explanation:
when parallel parked along a curb, the front and rear bumpers of your vehicle must be how far away from other vehicles? 6 inches. 1 foot. 2 feet. 4 feet.
When parallel parked along a curb, the front and rear bumpers of your vehicle must be no more than 12 inches or one foot away from other vehicles. This distance is to ensure that there is enough space for other vehicles to maneuver around your car and to prevent any accidental collisions or damage.
It is important to note that this distance may vary depending on local laws and regulations, so it is always best to check with your local authorities for specific guidelines. In addition, it is crucial to use your mirrors and signals when parallel parking to ensure that you are not blocking traffic or causing any hazards on the road. By following these guidelines and being mindful of others on the road, you can safely and effectively parallel park your vehicle.
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Nancy winter local zoo that featured 11 monkey exhibits if these monkey exhibit make up 55% of the zoo exhibits then how many exhibits does the zoo have until the round your answer to the nearest whole number if necessary
Answer:
20 total exhibits at the zoo
Step-by-step explanation:
55% of 20 = 11 (monkeys)
Find the 8th term of the arithmetic sequence x + 1 x+1, 8 x − 3 8x−3, 15 x − 7 ,
Answer: 50x - 27
Step-by-step explanation:
To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:
Common difference (d) = second term - first term
d = (8x - 3) - (x + 1)
d = 7x - 4
Now, we can use the formula to find the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where a1 is the first term, d is the common difference, and n is the term number we want to find.
Plugging in the values, we get:
a8 = (x + 1) + (8 - 1)(7x - 4)
a8 = x + 1 + 7(7x - 4)
a8 = x + 1 + 49x - 28
a8 = 50x - 27
Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.
Give an example of a group that contains nonidentity elements of finite order and of infinite order. 9. (a) Find the order of the groups U10, U12, and U24. (b) List the order of each element of the group U20-
An example of a group that contains nonidentity elements of finite order and infinite order is the group of integers under addition (Z, +).
(a) The order of the group U10 is 4, the order of U12 is 4, and the order of U24 is 8.
(b) The group U20 consists of the numbers {1, 3, 7, 9, 11, 13, 17, 19} which are relatively prime to 20. The order of each element in U20 can be found by calculating its powers until it reaches the identity element (1).
The order of 1 is 1.
The order of 3 is 2.
The order of 7 is 4.
The order of 9 is 2.
The order of 11 is 10.
The order of 13 is 4.
The order of 17 is 8.
The order of 19 is 18.
So, the list of orders of each element in U20 is {1, 2, 4, 2, 10, 4, 8, 18}.
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I am really bad at math! So can someone please help me again!
Answer:
Fraction: x= 8/5
Decimal: x= 1.6
Mixed Number: x= 1 3/5
Adrian solve 95 math problems that is five times as many math problems as Sam completed how many math problems did Sam complete
Answer:
19 math problems
Step-by-step explanation:
95 ÷ 5 = 19
Answer:
Sam completed 19 math problems.
Step-by-step explanation:
Since Adrian solved 5 times the amount of math problems Sam solved, we would do the amount Adrian solved, 95, divided by 5, since that's the opposite of 5 times (which is the same as multiplying by 5). 95 divided by 5 is 19, so, Sam did 19 problems.
Lola lives 3/4 mile from basketball court she has already walked 2/3 of the way to the basketball court
Answer:
She walked 5 miles
Step-by-step explanation:
negative 7 over 3, the whole multiplied by x minus 3 equals negative 52
Answer:
21
Step-by-step explanation:
Two defenders and the ball carrier start at the 40-yard line. Defender 1 starts 10 yards away from the ball
carrier to the ball carrier’s left. Defender 2 starts 30 yards away from the ball carrier to the ball carrier’s
right. Defender 1 runs 1. 1 times as fast as the ball carrier. Defender 2 runs 1. 25 times as fast as the ball
carrier
Defender 2 takes the shortest at approximately 16.33 seconds, and Defender 1 is in the middle at approximately 31.71 seconds.
Defender In this situation, we can calculate the time it takes for each of the defenders and the ball carrier to reach the end zone, assuming they all run in a straight line. Let's denote the speed of the ball carrier as x. Then, we can use the given ratios to find the speeds of the defenders:Defender 1 runs 1.1 times as fast as the ball carrier, so their speed is 1.1xDefender 2 runs 1.25 times as fast as the ball carrier, so their speed is 1.25x
Now, we can use the formula time
= distance ÷ speed to calculate the time it takes for each person to reach the end zone. For the ball carrier, the distance is 60 yards (since they start at the 40-yard line and want to reach the end zone at the 100-yard line), and the speed is x. Thus, their time is:time for ball carrier
= distance ÷ speed
= 60 yards ÷ xDefender 1 starts 10 yards away from the ball carrier, so their distance to the end zone is 50 yards. Their speed is 1.1x, so their time is:time for Defender 1
= distance ÷ speed
= 50 yards ÷ 1.1xDefender 2 starts 30 yards away from the ball carrier, so their distance to the end zone is 30 yards. Their speed is 1.25x, so their time is:time for Defender 2
= distance ÷ speed
= 30 yards ÷ 1.25x
Now, we can set up an equation based on the given information:time for ball carrier
= time for Defender 1 + time for Defender 260 yards ÷ x
= 50 yards ÷ 1.1x + 30 yards ÷ 1.25x
We can solve for x by multiplying both sides by the least common multiple of the denominators (8.75x):245 yards
= 400 yards ÷ 1.1 + 280 yards ÷ 1.25 Simplifying the right side gives:245 yards
= 363.64 yards + 224 yards Dividing both sides by 245 yards gives:1
= 1.48
Thus, the ball carrier runs at a speed of
x = 1.48.
Now we can calculate the times it takes for each person to reach the end zone:time for ball carrier
= distance ÷ speed
= 60 yards ÷ 1.48
= 40.54 seconds (rounded to two decimal places)time for Defender 1
= distance ÷ speed
= 50 yards ÷ 1.1(1.48) ≈ 31.71 secondstime for Defender 2
= distance ÷ speed
= 30 yards ÷ 1.25(1.48) ≈ 16.33 seconds
Thus, the ball carrier takes the longest to reach the end zone at approximately 40.54 seconds. Defender 2 takes the shortest at approximately 16.33 seconds, and Defender 1 is in the middle at approximately 31.71 seconds.
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f(x)=ln x
g(x)=-5ln x
???????????
Answer:
I believe you have selected all the correct answers, just give me a few seconds to make sure.
Transformations are a specific type of mapping. What makes them special from the general process of
mapping?
Answer:
Business Process Mapping
Business process mapping refers to activities involved in defining what a business entity does, who is responsible, to what standard a business process should be completed, and how the success of a business process can be determined.
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 50 sandwiches in all, 5 of which were turkey. What percentage of the sandwiches were turkey sandwiches?
Answer:
90%
Step-by-step explanation:
50%×2 100%
5%×2 10%
45%×2 90%
When a number is doubled and then increased by 20, the result is 5 less than 3 times the number. What is the number?
Answer:
2x+20=3x-5 (x=25)
Step-by-step explanation:
2x+20=3x-5
-2x+5
25=x
hope this helps ( a brainliest would be nice too)
The number is equal to 25.
Let the number be n.To write the word problem as an algebraic equation:
In this exercise, we are required to translate the word problem into a mathematical (algebraic) expression and solve for the unknown variable (number):
Translating the word problem into an algebraic expression, we have;
A number is doubled and then increased by 20:
\(2n + 20\) ...equation 1.
The result is 5 less than 3 times the number:
\(3n -5\) ...equation 2
Equating the two equations, we have:
\(2n+20=3n-5\\\\3n-2n=20+5\\\\n=25\)
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a student needs 11 more classes to graduate. if she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 4 classes?
We can conclude that the number of possible schedules for next semester could she make is 7920.
In more mathematical terms, the factorial of a number (n!) is equal to
n(n-1). For example, if you want to calculate the factorial for four, you would write: 4! = 4 x 3 x 2 x 1 = 24.
Given that,
The student needs 11 more classes to graduate.
And, possible schedules for next semester could she make if she plans to take 4 classes
Based on the given expression, the calculation is as follows:
The combination formula is given to be:
\(n_{C} _{r} =\frac{n!}{r!(n-r)!}\)
= \(11_{C} _{4}\) ! * 4 !
= \(\frac{11 !}{4!(11-4)!}\) * 4 !
= \(\frac{11!}{4!7!}\) * 4 !
= \(\frac{11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1*7*6*5*4*3*2*1}\) * 4 !
We can cancel the coefficients,
= \(\frac{11*10*9*8}{4*3*2*1}\) * 4 !
= \(\frac{7920}{24}\) * 4 !
= 330* 4 !
= 330 * 4*3*2*1
= 7920
Therefore,
We can conclude that the number of possible schedules for next semester could she make is 7920.
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8)
Which of the numbers is a rational number?
A)
B)
V11
100
D)
V143
Answer: Step-by-step explanation:
I believe that is it 100, since it is the only number listed that has factors and multiples.
Hope this helps!
A study on students drinking habits wants to determine the true average number of alcoholic drinks all UF "greek" students have in a one week! period. We know from preliminary studies that the standard deviation is around 6.3. How many students should be sampled to be within 0.5 drink! of population mean with 95% probability? 609 *305 304 610
Number of students should be sampled to be within 0.5 drink of population mean with 95% probability is 617 students.
To determine the sample size required to estimate the population mean with a given level of precision, we can use the formula for the margin of error
Margin of error = Z × (standard deviation / sqrt(sample size))
where Z is the critical value of the standard normal distribution corresponding to the desired level of confidence. For a 95% confidence level, Z is 1.96.
We want the margin of error to be no more than 0.5 drinks, so we can set up the equation
0.5 = 1.96 × (6.3 / sqrt(sample size))
Solving for the sample size, we get
sqrt(sample size) = 1.96 × 6.3 / 0.5
sqrt(sample size) = 24.82
sample size = (24.82)^2
sample size = 617
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Your uncle wants to create a dog small enough to fit into a purse. Of the hundreds of dogs on his farm, he breeds only the smallest 10% of them. He then breeds only the smallest 10% of their offspring, and continues to breed only the smallest 10% of each generation. Over 20 years, he observes that his group of dogs did become smaller (though not small enough to fit into a purse). Which line of support does he have that his dogs have evolved?.
A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.
The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.
Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.
In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.
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What is 4x -1/2
=x+ 7
Answer:
Step-by-step explanation:
Bringing like terms on one side
4x - x = 7 + 1/2
3x = 7.5
x = 7.5/3
x = 2.5
Answer:
X=5/2
Step-by-step explanation:
1. subtract x from both sides, you now have 3x - 1/2 = 7
2. now you add 1/2 to both sides to get x by itself and you are left with 3x=7
4. divide by 3 on both sides to get x by itself
5. x=5/2
x^2-4/x divided by x+2/x-2
The algebraic expression x^2-4/x divided by x+2/x-2 when simplified gives (x-2)²/x
How to simplify x^2-4/x divided by x+2/x-2?
The difference of two squares method will be useful to solve this algebraic expression
The difference of two squares is a method of factorising used when an algebraic expression includes two squared terms, one subtracted from the other: a² - b² = (a+b)(a-b)
x^2-4/x divided by x+2/x-2 is x²-4/x ÷ x+2/x-2
x²-4 = x²-2² = (x+2)(x-2). Thus:
x²-4/x ÷ x+2/x-2 = (x+2)(x-2)/x ÷ x+2/x-2
= (x+2)(x-2)/x × x-2/x+2 The (x+2) will cancel out
= (x-2)(x-2)/2
= (x-2)²/x
Therefore, x^2-4/x divided by x+2/x-2 simplies to (x-2)²/x
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Which equation has the solution x = 6?
1/6 x = 3/4 x + 2
1/4 x + 1/2 = 1/3 x
1/2 x + 3 = 3/5 x + 3
4/5 x - 1 = 3/4 x
Answer:
B
Step-by-step explanation:
1/4.6+1/2=1/3.6
6/4+1/2=2
8/4=2
So B