Answer:
Yes!, this is a scientific model because this shows everything of the water cycle.In fact the water cycle shows the continuous movement of water within the Earth and atmosphere. It has the system that includes all the different processes.For example Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow.
hope this is what your looking for! ^^
Answer:
yes
Step-by-step explanation:
Frequent and detailed measurements help scientists make models of and determine changes in Earth's water cycle. The water cycle describes how water evaporates from the surface of the earth, rises into the atmosphere, cools and condenses into rain or snow in clouds, and falls again to the surface as precipitation.
You need to select a pair of socks from the draw and then a t-shirt. You have eight different colors of sock pairs and ten different color t-shirts. If you pull one from each draw, what are the possible combinations of socks and t-shirt that you will get?
80
18
There are 80 possible combinations of socks and t-shirts that can be selected.
To calculate the number of possible combinations, we multiply the number of options for socks (8) by the number of options for t-shirts (10). This is based on the fundamental principle of counting, which states that when faced with multiple independent choices, the total number of combinations is found by multiplying the number of options for each choice.
In this case, you have 8 different colors of sock pairs and 10 different colors of t-shirts. For every color of socks, you have 10 different t-shirt options. By multiplying the number of sock options (8) by the number of t-shirt options (10), we find that there are a total of 80 possible combinations.
Therefore, you have a total of 80 possible combinations of socks and t-shirts that you can select.
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Factorize 3x² + 7xy - 6y².
Evaluate the expression in (a) above if x = 4 and y = 3.
Please help. Thanks.
Answer:
3(4)^2+7(4)(3)-6(3)^2
= 78
express the integral ∭ef(x,y,z)dv as an iterated integral in six different ways, where e is the solid bounded by z=0,x=0,z=y−4x and y=12.
These six different iterated integrals represent the same volume integral but with different orders of integration.
What are the six different ways to express the integral of a solid bounded by given planes as an iterated integral?To express the integral ∭ef(x,y,z)dv as an iterated integral in six different ways, where e is the solid bounded by
z=0, x=0, z=y-4x,
and y=12, we first determine the limits of integration for each variable. The solid is bounded by the following planes:
z = 0 (lower limit for z)
x = 0 (lower limit for x)
z = y - 4x (upper limit for z)
y = 12 (upper limit for y)
Now, we can write the iterated integral in six different orders of integration:
dx dy dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dx dy
dx dz dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dx dz dy
dy dx dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dy dx
dy dz dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dz dx
dz dx dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dx dy dz
dz dy dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dx dz
These six different iterated integrals represent the same volume integral but with different orders of integration.
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so
How would you write 6.5E4
Which statement is true about an isosceles triangle?.
The statement "An equilateral triangle is a special type of isosceles triangle" is true.
An equilateral triangle is a triangle with all three sides and angles equal. Since an isosceles triangle is a triangle with at least two sides and angles equal, an equilateral triangle, with all three sides and angles equal, fulfills the condition of being an isosceles triangle. Therefore, an equilateral triangle can be considered a special case of an isosceles triangle.
However, the other statements are not true:
An isosceles triangle cannot have all different side lengths. In an isosceles triangle, at least two sides must have the same length.
A triangle cannot have two obtuse angles. The sum of the angles in a triangle is always 180 degrees, so if one angle is obtuse (greater than 90 degrees), the sum of the other two angles must be less than 90 degrees, making them acute or right angles.
An equilateral triangle cannot have different side lengths. By definition, an equilateral triangle has all three sides of equal length.
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Correct Question:
Which of these statements is true? An isosceles triangle can have all different side lengths. A triangle could have two obtuse angles. An equilateral triangle can have different side lengths, as long as the angles are all the same. An equilateral triangle is a special type of isosceles triangle.
Which expression represents the sum of (2x - 5y) and (x + 2y)?
Answer:
B. 3x-3y
Step-by-step explanation:
Answer:
(A) 3x - 4y
Step-by-step explanation:
Multiply and simplify the result.√ √ 147Step 1 of 1Use the product rule for square roots which states that for any nonnegative real numbers a and b,Vacb= ſo ſo and ſo oThe product rule for square roots says that the square root of the product of two nonnegative numbers isequal to the product of their square roots and vice versa.Use the product rule and then simplify.r. √147 = Vol=
SOLUTION:
\(\begin{gathered} \sqrt[]{3}\text{ . }\sqrt[]{147} \\ \sqrt[]{3(147)} \\ \sqrt[]{441} \\ 21 \end{gathered}\)58 out of 120 as a percent
Answer:
48.33%
Step-by-step explanation:
if you ever have problems with percents
you should probably use calculator soup :)
have a nice day!
The diameter of ball bearing are ditributed normally. The mean diameter i 81 millimeter and the variance i 16. Find the probability that the diameter of a elected bearing i greater than 85 millimeter. Round your anwer to four decimal place
the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587
The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.
To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.
We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.
We the look up the probability for a value of 1 in the z-table, which is 0.1587.
This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.
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19. francisco teaches group lessons to all of the violin and
viola students at the scott school of music. all of his
classes have the same number of students. what is the
greatest number of students he can have in each class?
Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.
What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.
Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.
GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :
Step 1 :List down all factors of m and n
Step 2 :Identify the common factors of both m and n
Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.
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The price of a stereo system on Friday was
$272, a discount of 15% from its price on
Thursday. What was the price of the stereo
system on Thursday?
O $231.20
O $312.80
O $318.20
O $320.00
O $328.00
Answer: the answer is A
Step-by-step explanation: because it says "discount" which means your subtracting and you subtract 272-15% and you get 231.20.
according to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,080. assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $480. (round your z-score computation to 2 decimal places and final answers to 2 decimal places.)
81.06% of people in the 25-34 age group spend less than $2,500 on reading and entertainment per year.
To find the z-score for a person who spends $2,500 on reading and entertainment in the 25-34 age group, we can use the formula:
\(z = \frac{(x - μ) }{σ} \)
Where: x = $2,500 μ = $2,080 σ = $480 Substituting these values, we get:
\(z = \frac{ (2500 - 2080)}{ 48} \\ z = 0.88\)
This means that a person who spends 2,500 on reading and entertainment is 0.88 standard deviations above the mean. To find the proportion of people who spend less than 2,500 on reading and entertainment, we can use a standard normal table or calculator to find the area to the left of z = 0.88. The area is 0.8106. Therefore, approximately 81.06% of people in the 25-34 age group spend less than $2,500 on reading and entertainment per year.
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Consider the curve x³y + y³ = sin y - x². Find dy/dx
Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)
Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.
To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.
It is expressed as follows;
\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)
Then we'll differentiate each term:
For the first term, x^3y, we'll use the product rule
\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)
For the second term, y^3, we'll also use the chain rule
\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)
For the third term, sin(y), we'll again use the chain rule
\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)
For the fourth term, x², we'll use the power rule
\(\frac{d}{dx} x^2 = 2x\)
Substituting these expressions back into the original equation, we get:
3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x
Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x
Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))
Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)
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Please help me solve the this and how to do it
(2x+9)+(x+4)
Answer:
3x+13
pls give me brainliest :D ty
Step-by-step explanation:
2x+x+9+4 (remove brackets and add)
3x+13
(can someone please answer this question for me i will make you brainliast )
Find the value of x.
Answer:
x = 60
Step-by-step explanation:
Remark
The two angles that are equal are remote interior angles. They add to 120
Step one
y + y = 120 Combine
2y = 120 Divide by 2
y = 120/2
y = 60
Step Two
Find the angle vertically opposite to the 60 degree angle near the center on the left hand triangle.
The vertically opposite angle is 60. If you know one vertically opposite angle, you know the other one.
Step Three
State the value of the angle that is vertically opposite x.
The angles value is 60o. You are working with an isosceles triangle according to the markings on the triangle.
Step Four
State the value of x
The value of x = 60 degrees. It is equal to the angle described in step three.
A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2
Answer:
domain = E
range = (-&,&)
Step-by-step explanation: solved by graphing calculator
Libby earns $10 each hour for babysitting. Let m = the money she earns, and t = the time in hours she is babysitting. What equation represents this proportional relationship?
Answer:
$10t=m
Step-by-step explanation:
If for each hour is $10.
She would earn the number of hours times $10.
Example: She did babysitting for 4 hours this weekend. The equation is $10(4)=m or $10 x 4 = m. m=40
Find the Value of X in this Triangle
Answer:
x = -6
Step-by-step explanation:
All three angles are equal, so all three sides are equal, making this an equilateral triangle
5x+10 = 2x-8
Subtract 2x from each side
5x-2x +10 = 2x-8-2x
3x+10 = -8
Subtract 10 from each side
3x+10-10 = -8-10
3x = -18
Divide by 3
3x/3 = -18/-3
x = -6
Let K be an n × n orthogonal matrix. Prove that for all v ∈ R n we have ||Kv||2 = ||v||2 . Prove also that for every eigenvalue λ of K we have |λ| = 1.
Every eigenvalue of K has absolute value 1, as required. To prove that ||Kv||2 = ||v||2 for all v ∈ R n , we start by writing out the norms in terms of the dot product:
||Kv||2 = (Kv)⋅(Kv) = v⋅(K⊤Kv) (since K is orthogonal, K⊤K = I)
= v⋅v = ||v||2
So, ||Kv||2 = ||v||2 for all v ∈ R n , as required.
Now, let λ be an eigenvalue of K, with eigenvector v. Then we have:
Kv = λv
Taking norms of both sides, we have:
||Kv|| = |λ| ||v||
But, from the previous result, we know that ||Kv|| = ||v||. Therefore:
||v|| = |λ| ||v||
Since ||v|| is nonzero (by definition of an eigenvector), we can cancel it from both sides to get:
1 = |λ|
So, every eigenvalue of K has absolute value 1, as required.
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find each unit price to decide which is the best buy
Answer:
do you have more info so I can help
ACTIVITY 1: What a Difference!
Directions: Find the difference of the two given numbers. Subtract the first number from the
second. Place your answer on the space provided.
1. 3: 5
6. 26; 15
7. -5:-8
2. 12; 22
3. 9; 25
8.
- 10; -6
9. 13; -1
4, 8; 37
5. 7; 4
10. 14; -11
Answer:
1. -2
2.-10
3. 16
4. -29
5. 3
6. 11
7. 3
8. -4
9. 14
10. 25
A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
\(\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}\)
\(~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t\)
Put these fractions in order of size smallest to largest 3/5 5/6 1/3
Answer:
1/3, 3/5, 5/6
Step-by-step explanation:
There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.
3/5= .6
5/6= .83333
1/3= .333333
In this form it is much easier to put them from least to greatest.
1/3, 3/5, 5/6,
What is (gof)(x) if f(x) = 3x - 1 and g(x) = 4x² + 9?
Step-by-step explanation:
(gof)(x) is basically g(f(x))
= 4 × (3x - 1)² + 9
= 4 × (9x² - 6x + 1) + 9
= 36x² - 24x + 4 + 9
= 36x² - 24x + 13
assume you have a bell-shaped distribution (it is known to be normally distributed) with a mean of 200 and a standard deviation of 40. approximately what percentage of data falls between the values 120 and 280?
The approximately 99.38% of the data falls between the values 120 and 280.
To find the percentage of data that falls between the values 120 and 280, we need to find the standard scores (z-scores) that correspond to these values and use a standard normal table to find the proportion of data within this range.
First, we'll find the z-score for 120:
z = (120 - 200) / 40 = -2.5
Similarly, the z-score for 280 is:
z = (280 - 200) / 40 = 2.5
Now we can use a standard normal table to find the proportion of data between -2.5 and 2.5 standard deviations from the mean. This proportion is approximately 0.9938 or 99.38%.
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Please solve. Will Mark brainliest
Answer:
i need directions
Step-by-step explanation:
Merry christmas eve may you guys please help me with this :)
Answer:
C
Step-by-step explanation:
amd merry Christmas to you too
Answer:
its C.
Step-by-step explanation:
1- the diameter of a CD is 24 cm nearest to cm .find its upper and lower bound.
2- if your mass is 57g .your mass could actually be anything between 56.5kg and 57.5kg.do you agree or not explain the reason .why?
3- write 7.875 nearest to a two decimal place.
4- write 2.3242900000 nearest to a two decimal place.
5-divide 180 kd between ahmed ,jasim and Dalal in the ratio of 3:1:5.
answer any one of this questions
Answer:
1) Lower bound = 23.5 cm
Upper bound = 24.5 cm
2) I disagree
3) 7.88
4) 2.32
5) Ahmed = 60 kg
Jasim = 20 kg
Dalal = 100 kg
Step-by-step explanation:
1) diameter = 24 cm was rounded up to the nearest cm.
Now, usually, we round up 0.5 to the next whole number. This means that, the actual diameter is;
23.5 ≤ D < 24.5
Thus;
Lower bound = 23.5 cm
Upper bound = 24.5 cm
2) If you weigh 57g,converting to kg is 0.57 kg.
Now, this does not fall in between 56.5kg and 57.5kg given.
Thus, I disagree that your weight could be anything between 56.5kg and 57.5kg .
3) 7.875 approximated to the nearest two decimal place = 7.88
4) 2.3242900000 to the nearest 2 decimal place = 2.32
5) 180 kd shared between ahmed ,jasim and Dalal in the ratio of 3:1:5.
Total part of ratio = 3 + 1 + 5 = 9
Their respective shares are;
Ahmed = 3/9 × 180 = 60 kg
Jasim = 1/9 × 180 = 20 kg
Dalal = 5/9 × 180 = 100 kg
For the following exercises, evaluate the expressions, writing the result as a simplified complex number.
49. 1/i + 4/i³ =
50. 1/i¹¹ - 1/i²¹ =
51. i⁷ (1+i²) = 52. i⁻³ + 5i⁷ =
53. (2+i)(4-2i)/(1+2i) =
54. (1+3i)(2-4i)/(1+2i) = 55. (3+i)²/(1+2i) =
56. (3+2i/2+1) + (4+3i) = 57. 4+i/i + 3-4i/1-i = 58. 3+2i/1+2i - 2-3i/3+i =
To evaluate the given expressions involving complex numbers, we will use the properties and rules of complex number operations, such as addition, subtraction, multiplication, and division.
To evaluate 1/i + 4/i³, we can simplify the denominators by using the property i² = -1. This gives us 1/i + 4/(-i) = -i + (-4i) = -5i. Similarly, for 1/i¹¹ - 1/i²¹, we can simplify the denominators by using the property i² = -1. This gives us 1/(-i) - 1/(-1) = -i - 1 = -1 - i.
To evaluate i⁷ (1+i²), we can simplify i⁷ as i⁴ × i³. Since i⁴ = 1 and i³ = -i, we have 1 × (-i) = -i. For i⁻³ + 5i⁷, we can simplify i⁻³ as 1/i³. Using the property i³ = -i, we get 1/(-i) + 5i⁷ = -i + 5(-i) = -6i. Evaluating (2+i)(4-2i)/(1+2i), we can expand the numerator as 8 + 4i - 4i + 2i² and simplify i² as -1. This gives us 8 + 2(-1) = 6. Similarly, for (1+3i)(2-4i)/(1+2i), we expand the numerator as 2 + 6i - 4i - 12i², and simplify i² as -1. This gives us 2 + 2i - 12(-1) = 14 + 2i. To evaluate (3+i)²/(1+2i), we can expand the numerator as 9 + 6i + i² and simplify i² as -1. This gives us 9 + 6i - 1 = 8 + 6i.
Evaluating (3+2i/2+1) + (4+3i), we first simplify the division 3+2i/2+1 as (3+2i)/(3). This gives us 1 + (2/3)i + 4 + 3i = 5 + (2/3)i + 3i = 5 + (2/3+3)i = 5 + (11/3)i. For 4+i/i + 3-4i/1-i, we simplify the divisions as (4+i)/i + (3-4i)/(1-i). Using the properties of complex conjugate, we can multiply the numerator and denominator of the second fraction by the conjugate of the denominator, which is 1+i. This gives us (4+i)(-i)/(i)(-i) + (3-4i)(1+i)/(1-i)(1+i). Simplifying further, we get (-4-i)/(1) + (3-4i+3i-4)/(2) = -4-i + (-1+i)/2 = (-5-2i)/2. Lastly, for 3+2i/1+2i - 2-3i/3+i, we simplify each fraction individually, which gives us [(3+2i)(1-2i)]/[(1+2i)(.
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