The fraction that is is 45 centimeters of 100 meters is: 9/20.
How to Calculate Fractions?To find the fraction of 1 meter that 45 centimeters is, make the units uniform.
That is, convert 1 meter to centimeters.
100 centimeters = 1 meter
Therefore, we would find what fraction is 45 centimeters of 100 centimeters (1 meter):
45 centimeters of 100 centimeters (1 meter) = 45/100
Reduce the fraction to its simplest form
45/100
45 divided by 5 = 9
100 divided by 5 = 20
Therefore, we would have:
45/100 = 9/20
In summary, the fraction that is is 45 centimeters of 100 meters is: 9/20.
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Select the correct answer from the drop-down menu. Right triangle ACD is represented with the right angle at vertex D. A right triangle with base BD is represented whose vertical leg overlaps the portion of segment CD. Angle B and angle C are marked congruent. In the figure, m∠B = m∠C and ∠D is a right angle. cos B = sin B
distributive property to write these products as a sum. If drawing rectangles helps you, feel free to use that visual aid to
Using Distributive Property, we have;
13) 5(m - 2) = ((5*m) + (5 * -2))
14) 8(y + 2) = ((8*y) + (8 * 2))
15) -3(m + 4) = ((-3*m) + (-3 * 4))
16) a(a + 3) = ((a*a) + (a * 3))
17) h(h - 2) = ((h*h) + (h * -2))
18) 2m(m + 4) = ((2m*m) + (2m * 4))
19) -2(z - 8) = ((-2*z) + (-2 * -8))
20) -4x(x - 10) = ((-4x*x) + (-4x * -10))
How to use the distributive property?
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC
13) 5(m - 2) expressed using distributive property is;
((5*m) + (5 * -2))
14) 8(y + 2) expressed using distributive property is;
((8*y) + (8 * 2))
15) -3(m + 4) expressed using distributive property is;
((-3*m) + (-3 * 4))
16) a(a + 3) expressed using distributive property is;
((a*a) + (a * 3))
17) h(h - 2) expressed using distributive property is;
((h*h) + (h * -2))
18) 2m(m + 4) expressed using distributive property is;
((2m*m) + (2m * 4))
19) -2(z - 8) expressed using distributive property is;
((-2*z) + (-2 * -8))
20) -4x(x - 10) expressed using distributive property is;
((-4x*x) + (-4x * -10))
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help me with homework
The solution to the geometric sequence in the question are;
First part;
r = 3
[tex]a_{8} = 8748 [/tex]
Second part;
r = 4
[tex]a_{6} = 9216 [/tex]
Practice:
r = 8
[tex]a_{7} = 0.3125 [/tex]
Third part;
Please see the detailed reasons in following section
Fourth part;
[tex] {a}_{n} = 4 × {a}_{n-1}[/tex]
[tex] {a}_{n} = 0.2 × {a}_{n-1}[/tex]
How can the geometric sequence be evaluated?First part;
The formula for geometric progression can be presented as follows;
[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]
[tex]a_{4} =108 = a_{1} \times {r}^{4 - 1} [/tex]
Where;
[tex]a_{1} = 4 \: and \: a_{4} = 108[/tex]
We have;
[tex]a_{4} =108 = 4 \times {r}^{4 - 1} = 4 \cdot {r}^{3} [/tex]
Which gives;
[tex] {r}^{3} = \frac{108}{4} = 27[/tex]
[tex]r = \sqrt[3]{27} = 3[/tex]
r = 3
Therefore;
[tex]a_{8} = 4 \times {3}^{7} = 8748 [/tex]
Second part;
Where;
[tex]a_{1} = 9 \: and \: a_{3} = 144[/tex]
Therefore;
[tex] {r}^{2} = \frac{144}{9} = 16[/tex]
[tex]r = \sqrt{16} = 4[/tex]
r = 4
Which gives;
[tex]a_{6} = 9 \times {4}^{5} = 9216 [/tex]
Practice;
[tex]a_{1} = 3 \: and \: a_{4} = 1536[/tex]
Therefore;
[tex] {r}^{3} = \frac{1536}{3} = 512[/tex]
[tex]r = \sqrt[3]{512} = 8[/tex]
r = 8
[tex]a_{1} = 20 \: and \: a_{3} = 5[/tex]
Therefore;
[tex] {r}^{2} = \frac{5}{20} = 0.25[/tex]
[tex]r = \sqrt{0.25} = 0.5[/tex]
Which gives;
[tex]a_{7} = 20 \times {0.5}^{6} = 0.3125 [/tex]
Third part
Recursively means expression in terms of previous terms
The meaning of the equation is that each term of a geometric sequence is given by the product of the common ratio and the previous term
Fourth part;
The recursive formula for the sequence, {2, 8, 32, 128...} is found as follows;
r = 8/2 = 4
Therefore;
[tex] {a}_{n} = 4 × {a}_{n-1}[/tex]
Part;
The sequence is {200, 40, 8, 1.6...}
The common ratio is; 40/200 = 0.2
The recursive formula is therefore;
[tex] {a}_{n} = 0.2 × {a}_{n-1}[/tex]
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i’m not understanding this question
(8t)^2
Answer: 64t^2
Step-by-step explanation:
everything in the parenthesis has to get the exponent so it first becomes 8^2t^2 and then you simplify
Answer:
64t^2
Step-by-step explanation:
First, you need to distribute the exponent
8^2*t^2
Then you need to simplify
64t^2
And thats the answer
8
2) Which equivalent expression uses GCF and Distributive Property to find the
sum of to 16+28?
1(16+28)
O2(8+14)
2(8+28)
4(4+7)
*
4(4+7) is the equivalent expression uses GCF and Distributive Property to find the sum of to 16+28.
What is GCF?The greatest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x and y. As a result, the greatest common factor is also referred to as the Highest Common Divisor (HCD), the Highest Common Factor (HCF), or the Greatest Common Divisor (GCD).
What is the Distributive Property?According to the distributive property, an expression in the form A (B + C) can be solved as A (B + C) = AB + AC. This distributive law also applies to subtraction and is denoted by A (B - C) = AB - AC. This means that the other two operands share operand A.
The given expression is 16 + 28.
The greatest common factor is 4.
So taking the greatest common factor from the both the numbers.
We get, 4 (4+7)
So the resultant expression is 4 (4+7).
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Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
OB. No, because it is not a curve.
OC. Yes, because it passes the vertical line test.
OD. Yes, because it has two straight lines.
Answer:
the answer is D
Step-by-step explanation:
because it has two straight lines
Consider two neighboring island countries called Contente and Euphoria. They each have 4 million labor hours available per week that they can use to produce jeans, rye, or a combination of both. The following table shows the amount of jeans or rye that can be produced using 1 hour of labor.
Country Jeans Rye
Contente 5 10
Euphoria 4 16
Initially, suppose Contente uses 1 million hours of labor per week to produce jeans and 3 million hours per week to produce rye, while Euphoria uses 3 million hours of labor per week to produce jeans and 1 million hours per week to produce rye. Consequently, Contente produces 5 million pairs of jeans and 30 million bushels of rye, and Euphoria produces 12 million pairs of jeans and 16 million bushels of rye. Assume there are no other countries willing to trade goods, so, in the absence of trade between these two countries, each country consumes the amount of jeans and rye it produces.
Contente's opportunity cost of producing 1 pair of jeans is ___ of rye, and Euphoria's opportunity cost of producing 1 pair of jeans is ___ of rye. Therefore ___ has a comparative advantage in the production of jeans, and ___ has a comparative advantage in the production of rye.
Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces jeans will produce ___ million pairs per week, and the country that produces rye will produce ___ million bushels per week.
n the following table, enter each country's production decision on the third row of the table (marked “Production”).
Suppose the country that produces jeans trades 13 million pairs of jeans to the other country in exchange for 39 million bushels of rye.
In the following table, select the amount of each good that each country exports and imports in the boxes across the row marked “Trade Action,” and enter each country's final consumption of each good on the line marked “Consumption.”
When the two countries did not specialize, the total production of jeans was 17 million pairs per week, and the total production of rye was 46 million bushels per week. Because of specialization, the total production of jeans has increased by ___ million pairs per week, and the total production of rye has increased by ___ million bushels per week.
1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.
Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.
2. Contente has comparative advantage in producing rye
Euphoria has comparative advantage in jeans production
How to find the opportunity Cost?For Euphoria:
The opportunity cost of producing a unit of rye in terms of jeans is;
Opportunity Cost = 20/5 = 4
For contente:
The opportunity cost of producing a unit of rye in terms of jeans is;
Opportunity Cost = 16/8 = 2
The opportunity cost of producing 1 unit of jean in terms of unit of rye:
For euphoria = 5/20 = 1/4
For contente = 8/16 = 1/2
1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.
Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.
2. Contente has comparative advantage in producing rye
Euphoria has comparative advantage in jeans production
3. Contente produces 8 bushels of rye so with 4 million hours of labor = 8x4 = 32 million bushels in a week.
Euphoria 20 pairs of jean in a week, using 4 million hours of labor. 20x4 = 80 pairs of jean a week
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which one doesn't belong explain why you chose that answer.
Answer:
2 because the unit rate is not the same for all the others it is consistant
Step-by-step explanation:
HELP ASSAAAPPPP!!!!!!
Answer:
(-4, 0); x = -4, y = 0
Step-by-step explanation:
The solution is the point that satisfies both equations. It is the point of intersection of the two lines.
Answer: (-4, 0)
please help me with this problem
Using the Poisson and the normal distributions, the probabilities are given as follows:
a) 0.0895 = 8.95%.
b)
Without correction, P(X < 8) = 0.1251 = 12.51%.
With continuity correction, P(X < 8) = 0.0968 = 9.68%.
c)
Without correction, P(16 < X < 24) = 0.1248.
With correction, P(16 < X < 24) = 0.1558 = 15.58%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is given by:
[tex]\mu = 12[/tex]
Hence the probability that X is less than 8 is given by:
P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7).
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} = 0.00001[/tex]
...
[tex]P(X = 7) = \frac{e^{-12}12^{7}}{(7)!} = 0.04368[/tex]
The middle values are found applying the same formula, and adding them, the probability is given by:
P(X < 8) = 0.0895 = 8.95%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The Poisson distribution can be approximated to the normal with [tex]\sigma = \sqrt{\mu}[/tex]Without continuity correction, the probability that X is less than 8 is the p-value of Z when X = 8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 12}{\sqrt{12}}[/tex]
Z = -1.15
Z = -1.15 has a p-value of 0.1251.
Hence:
Without correction, P(X < 8) = 0.1251 = 12.51%.
With continuity correction, as the Poisson distribution is discrete and the normal is continuous, the probability is P(X < 7.5), which is the p-value of Z when X = 7.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.5 - 12}{\sqrt{12}}[/tex]
Z = -1.3
Z = -1.3 has a p-value of 0.0968.
Hence:
With continuity correction, P(X < 8) = 0.0968 = 9.68%.
For item c, without correction, the probability is the p-value of Z when X = 24 subtracted by the p-value of Z when X = 16, hence:
X = 24:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 12}{\sqrt{12}}[/tex]
Z = 3.46
Z = 3.46 has a p-value of 0.9997.
X = 16:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 12}{\sqrt{12}}[/tex]
Z = 1.15
Z = 1.15 has a p-value of 0.8749.
0.9997 - 0.8749 = 0.1248.
Hence:
Without correction, P(16 < X < 24) = 0.1248.
With correction, the probability is the p-value of Z when X = 23.5 subtracted by the p-value of Z when X = 15.5, hence:
X = 23.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23.5 - 12}{\sqrt{12}}[/tex]
Z = 3.32
Z = 3.32 has a p-value of 0.9996.
X = 15.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.5 - 12}{\sqrt{12}}[/tex]
Z = 1.01
Z = 1.01 has a p-value of 0.8438.
0.9996 - 0.8438 = 0.1558.
Hence:
With correction, P(16 < X < 24) = 0.1558 = 15.58%.
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Divide. 827 divided by 19
Enter your answer in the boxes as a mixed number in simplest form.
Answer:
43 10/19
Step-by-step explanation:
Given that one centimeter is approximately 0.01 yards, how many
inches are in 66.75 centimeters?
Provide an answer accurate to the nearest tenth.
==========================================
Work Shown:
1 cm = 0.01 yards
66.75*(1 cm) = 66.75*(0.01 yards)
66.75 cm = 0.6675 yards
1 yard = 3 feet
0.6675*(1 yard) = 0.6675*(3 feet)
0.6675 yards = 2.0025 feet
1 foot = 12 inches
2.0025*(1 foot) = 2.0025*(12 inches)
2.0025 feet = 24.03 inches
7-5x-10+3x simplified please show steps
Susan is buying supplies for a party. If spoons only come in bags of 8 and
forks only come in bags of 6, what is the least number of spoons and the
least number of forks she can buy so that she has the same number of
each?
Answer:
24
Step-by-step explanation:
8. 6
16. 12
24. ✔️ 18
32. 24✔️
40. 30
48. 36
56. 42
64. 48
72. 54
80. 60
60units needed 14 units per case what's the #of cases & # of additional units
There will be 5 cases and 10 additional units.
Here, we are given that 60 units are needed with 14 units per case.
The total number of units required = 60
Units required for 1 case = 14
Let the total number of cases = n
Thus, total number of units required for n cases = 14n
⇒ 60 = 14n
14n = 60
n = 60/ 14
n = 4.285
Thus, we get that the number of cases = 4.285
But, since cases cannot be in decimals, we need to round off n to 5 ( as 4 cases won't add up to 60).
Thus, the total number of cases are 5.
Additional units = 14 × 5 - 60
= 70 - 60
= 10
Thus, the number of additional units are 10.
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If f(x) = 3x +4, find f'(x)
The speed limit in Canada is 100km/hr. What is the value of this limit in mi/hr given 1mi = 1.609km?
If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.
It is given in the question that 1.609 km = 1 mi
So , 1km= 1/1.609 mi
1km = 0.6215 mi
So if a car travels 1 km in 1 hr then it will travel 0.6215 miles in hr.
that means 1km/hr = 0.6215mi/hr
Now ,
to convert 100km/hr to mi/hr
we have ,
100km/hr = 100*0.6215 mi/hr
=62.15 mi/hr
Therefore , If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.
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y=-3x+8 determine the y-value of each ordered pair based on the given x-value
When x = 0 in the given equation, the value of y = 8.
What are equations?An equation, in its most basic form, is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The value is 'x' is not given then we will consider x = 0.
Now, substitute x = 0 in the equation.
y = -3x + 8y = -3(0) + 8y = 8Therefore, the value of y = 8 when x = 0 is in the given equation.
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round 72 to the neareat ten? what's the answer>
70? Is this a trick question?
Answer:
It will be 70
Step-by-step explanation:
Because poor number from 0 to 4
30 POINTS!!! PLEASE HELP ME! ASAP
Answer:
I think is higher
Step-by-step explanation:
what is 83.1 divided by 5
Answer: The answer is 16.62
Beinggreat78 is great!
:)
Answer:
3/20 = 15%
Step-by-step explanation:
Answer:
3/20 = 0.15 = 15%
How to find the least common multiple of three numbers
Answer:
The way I would best say is listing all the multiples then circle all the ones that are alike then find the lowest one they all have.
Example
Find the common multiples of 12,15,20
Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 120……….
Multiples of 15:15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405,……..
Multiples of 20:20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.
Step-by-step explanation:
They all have 60 so your lcm is 60
I think of a number . The LCM of this number and 42 is 126. If the number lies between 60 and 70 what is the number
If the number lies between 60 and 70 then the number is 63
How to determine the number if the number lies between 60 and 70?The given parameters are
LCM = 126
Second number = 42
The initial number is said to be between 60 and 70
The only number between 60 and 70 that has the same common factor as 126 and 42 is 63
Hence, if the number lies between 60 and 70 then the number is 63
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A fish tank at an aquarium has a volume of 648 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank?
The length of each side of the tank is 9 feet.
How to calculate the value?Height = 8
Volume = 648
Let y be the cross sectional area
Therefore, 648 = 8y
y² = 648/8
y² = 81
Therefore, y = ✓81
y = 9
The length of each side of the tank is 9 feet.
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A 1000L tank now contains 240L of water. How long will it take to fill the tank using a pump that pumps 25L per minute
The time taken to fill the tank using a pump that pumps 25L per minute
is 30.4 minutes
Given that A 1000L tank now contains 240L of water and asked the time taken to fill the tank using a pump that pumps 25L per minute.
The amount of water that can be filled in tank=760L
Given that a pump that pumps 25L per minute ,
The time required to fill 760L {if a pump that pumps 25L per minute }=[tex]\frac{760}{25}[/tex]
The time required to fill 760L {if a pump that pumps 25L per minute }=30.4 minutes
Therefore,The time taken to fill the tank using a pump that pumps 25L per minute is 30.4 minutes
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c = 1/2 ab^2
Solve for b
Answer:
b= √2ca /a
Step-by-step explanation:
it was a question on my test yesterday
Одна зі сторін прямокутника в 11 разів менша від другої. Знайдіть
сторони прямокутника, якщо його периметр дорівнює 144 см.
Answer:
for the plug-in settings to determine
Step-by-step explanation:
GG from Shahs of sunset Blvd suite is the best way to the answer to the answer to the answer to the plug-in the plug-in the whole thing is I don't have a email the e I m not sure if you have any questions or concerns please visit the plug-in settings to determine
#6.
Find the irrational number to the nearest hundredth without using a calculator or number line.
Sorry it looks like that I hope someone understands 45
We know that the irrational number is between:
6 < √45 < 7
And a good estimation is √45 = 6.71
How to approximate the irrational number?Here we just need to find a lower and upper bound for the given irrational number.
To do it, we just need to find a square number larger and a square number smaller than the number inside the square root.
The larger one will be:
7*7 = 49
The smaller one will be:
6*6 = 36
Then we can write:
√36 < √45 < √49
6 < √45 < 7
So we now know that our number is between 6 and 7, that is already a good estimation, now you can also try to see if it is closer to 6 or 7, by taking the direct square root you will get:
Now just take the product between numbers of the form:
6.10*6.10 = 37.21
And so on, until we almost reach 45.
We will get:
6.71*6.71 = 45.02
So a good estimation is √45 = 6.71
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Lindy has 64 vanilla wafers to put into bags. How many bags can she fill if she puts the same number in each bag and uses them all