Step-by-step explanation:
there is a nice rule in right-angled triangles :
the height to the right angle (AT) is the square root of the product of both segments (BT and TN) of the Hypotenuse.
so, we have
10 = sqrt(5x)
100 = 5x
x = 20
True/False. the amount of rainfall in your state last month is an example of discrete data.
Answer: False
Step-by-step explanation:
Discrete means secret and that data is not discrete as it can be acess by anyone.
True. The amount of rainfall in your state last month is an example of discrete data.
Explanation:The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.
Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.
Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.
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You need a 40% alcohol solution. On hand, you have a 120 mL of a 5% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
In order to create a 40% alcohol solution, we must combine 280 mL of 55% alcohol combination with 120 mL of the 5% alcohol mixture.
How does drinking affect the body?Alcohol can change how the brain functions and appears by interfering with the body's communication networks. In addition to altering attitude and behaviour, these disturbances can also make it more difficult to think effectively and move to coordination.
Let's designate the quantity of a mixture of 55% booze that needs to be added "x" (in mL).
We know that the finished solution must contain 40% pure alcohol by volume in order to achieve our goal of a 40% alcohol solution.
The amount of pure alcohol in the 120 mL of 5% alcohol mixture is:
0.05 * 120 = 6 mL
When we add "x" mL of the 55% alcohol mixture, we will add:
0.55x mL of pure alcohol
In the end, we want the total amount of pure alcohol in the final solution to be:
0.40 * (120 + x) mL
Now we can set up an equation:
0.55x + 6 = 0.40(120 + x)
Simplifying and solving for "x", we get:
0.55x + 6 = 48 + 0.40x
0.15x = 42
x = 280
So we need to add 280 mL of the 55% alcohol mixture to the 120 mL of 5% alcohol mixture to obtain a 40% alcohol solution.
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simplify each algebraic expression by combining like terms. show all work.
The simplified expressions for the algebraic expressions are:
1. -x² + 5x
2. -a³ + a²
3. -9x - 15
4. -2a + 5b + 5
5. 518x⁴ - 3x³ + x² - 2x - 4
How did we arrive at these values?Simplifying these algebraic expressions:
1. 7x² - 5x + 10x - 8x²
Combine like terms: 7x² - 8x² = -x²
Simplified expression: -x² + 5x
2. -6a³ + 5a³ + 2a² - a²
Combine like terms: -6a³ + 5a³ = -a³ and 2a² - a² = a²
Simplified expression: -a³ + a²
3. -4(x + 5) - 5(x - 1)
Distribute the negative sign: -4x - 20 - 5x + 5
Combine like terms: -4x - 5x = -9x and -20 + 5 = -15
Simplified expression: -9x - 15
4. -a + 5b - 6a + 5(a + 1)
Distribute the 5: -a + 5b - 6a + 5a + 5
Combine like terms: -a - 6a + 5a = -2a
Simplified expression: -2a + 5b + 5
5. 518x⁴ - 3x³ - 2x + x² - 10 + 6
Arrange terms in descending order of exponents: 518x⁴ - 3x³ + x² - 2x - 10 + 6
Simplified expression: 518x⁴ - 3x³ + x² - 2x - 4
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Find the area of the region bounded by the graphs of the equations f(x)=-x^(2)+4x and y=0
The Area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0 is 32/3 square units.
The area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0, we need to determine the x-values where the two curves intersect. These points will define the boundaries of the region.
Setting the two equations equal to each other, we have:
-x^2 + 4x = 0
Factoring out an x, we get:
x(-x + 4) = 0
This equation is satisfied when either x = 0 or -x + 4 = 0.
Solving -x + 4 = 0, we find:
x = 4
So, the two curves intersect at x = 0 and x = 4.
To find the area of the region between these x-values, we integrate the function f(x) = -x^2 + 4x from x = 0 to x = 4.
∫[-x^2 + 4x] dx from 0 to 4
Integrating, we get:
[-(x^3)/3 + 2x^2] from 0 to 4
Evaluating the definite integral, we have:
[-(4^3)/3 + 2(4^2)] - [-(0^3)/3 + 2(0^2)]
[-64/3 + 32] - [0]
(-64/3 + 32)
Simplifying, we get:
-64/3 + 96/3
32/3
So, the area of the region bounded by the graphs of the equations f(x) = -x^2 + 4x and y = 0 is 32/3 square units.
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Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. Which ball experiences the larger impulse during its collision with the floor? A) ball A B) ball B C) They both experience the same impulse. D) It is impossible to tell without knowing the masses of the balls. E) It is impossible to tell without knowing the durations of the collisions
Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.
The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.
In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.
Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.
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Plz help me!!!!!!!!!!!!!
help!! i will give you mark u brainlist, thank u!!
15% of 95? and 3 1/2% of 100?
Answer:
15% of 95-14.25
3 1/2% of 100-3.5
Step-by-step explanation:
Answer:
15% of 95= 14.25
3 1/2% of 100= 3.5
Step-by-step explanation:
3 1/2% of 100= 3.5, because 1% of 100=1
15% of 95=14.25 because 10% = 9.5 and 5% of 95=4.75
4.75+9.5= 14.25
for the state nn = 2, calculate the probability that the particle will be found in the left one-third of the box. express your answer using three significant figures.
For a system with nn = 2, the probability of finding the particle in the left one-third of the box can be calculated using quantum mechanics. The probability is approximately 0.667, rounded to three significant figures.
1. In quantum mechanics, the wave function describes the probability distribution of a particle's position. For a system with nn = 2, there are two possible states: the left state (L) and the right state (R). The wave function for this system can be represented as a linear combination of these two states: Ψ = aL + bR.
2. To calculate the probability of finding the particle in the left one-third of the box, we need to determine the coefficients a and b. The probabilities are given by the absolute squares of the coefficients. Since the particle is equally likely to be in either state at the beginning, we can assume a = b = 1/√2.
3. To find the probability of the particle being in the left state (PL), we square the absolute value of the coefficient a and divide it by the sum of the squared absolute values of both coefficients: PL = |a|^2 / (|a|^2 + |b|^2) = (1/√2)^2 / [(1/√2)^2 + (1/√2)^2] = 1/2 / (1/2 + 1/2) = 1/2.
4. Since the left one-third of the box occupies half of the total space, the probability of finding the particle in this region is half of the probability of being in the left state: P(left one-third) = PL / 2 = 1/2 / 2 = 1/4 = 0.25. Rounded to three significant figures, the probability is approximately 0.250.
5. Therefore, for a system with nn = 2, the probability that the particle will be found in the left one-third of the box is approximately 0.667, rounded to three significant figures.
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Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Domain: (-6, -1]
This is where the graph lines up with the x-axis.
Range: [-6, 4)
This is where the graph lines up with the y-axis.
See the two pictures for a visual reason why.
A stock person at a local department store decided that they would like to completely fill the ball bin in the toy department with one type of ball. the ball the stock person decided to use has a radius of 16 cm. the bal bin is 210 cm tall and the opening at the top is a square that is 150 cm by 150 cm. how many balls should fit inside the bin? (reminder: you can assume that for random packing space 190% of the volume of the sphere is needed to pack the spheres and ) group of answer choices
145 balls would fit inside the bin.
Given:
The radius of the ball (r) = 16 cm
The height of the ball bin = 210 cm
The opening at the top is a square that is 150 cm × 150 cm.
The side length of the square ball bin = 150 cm
To Find:
How many balls should fit inside the bin = ?
First we find the volume of the ball.
Let the volume of the ball be V1
The volume of the sphere = 4/3 × π × r³
Substituting the value,
⇒ V1 = 4/3 × π × 16³
⇒ V1 = 4/3 × π × 4096
⇒ V1 = (16348 × π) / 3
⇒ V1 = 17157.3 cubic centimeters
Now, we find the packing space per ball
= 190 percent of volume of one ball
= 190% of 17157.3
= 190/100 × 17157.3
= 1.9 × 17157.3
= 32598.9 cubic cm
Now, we find the volume of the container
The volume of the square prism (packing box )
= base area × height
= area of square × height
= 150² × 210
= 4725000 cubic centimeters
Now, we find the number of ball that can fit in the container
Number of ball = volume of the container / the packing space per ball
so,
⇒ Number of ball = 4725000 / 32598.9
⇒ Number of ball = 144.9
⇒ Number of ball ≈ 145
This means, approximately 145 balls should fit inside the bin.
Therefore, 145 balls would fit inside the bin.
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Pls answer
5= -5 (6n + 8)
Answer:
the value of n is -1.5
Step-by-step explanation:
I hope the question was to find the unknown.
Answer:
n= -3/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n=−32
Decimal Form:
n=-1.5
Mixed Number Form:
n=−112
a study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.1 pounds and a standard deviation of 7.5 pounds. step 2 of 2 : if a sampling distribution is created using samples of the amounts of weight lost by 56 people on this diet, what would be the standard deviation of the sampling distribution of sample means? round to two decimal places, if necessary.
For study about the fad diet which claimed that the amounts of weight lost by all people. The standard deviation of the sampling distribution of sample means is equals to the 3.220 pounds.
We have a study on the latest fad diet claimed that the amounts of weight lost by all people on this diet.
mean, μ = 24.1 pounds
Standard deviation, σ =7.5
The sampling distribution is created using samples, Sample size, n = 56
We have to determine standard deviation of the sampling distribution of sample means. The standard deviation of the sampling distribution of means calculated by ratio of the standard deviation of the population to the square root of the sample size. So, formula is written as, \(\mu_{\bar x } = \frac{\mu}{\sqrt{n}}\)
\(\mu_{\bar x }\) = 24.1/√56
Hence, required value is 3.220 pounds .
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Heya !
⇢ \(\sf{What \: is \: \frac{32 \: x \: 2}{4} \: ?\)
⇢ Remember you'll have to simplify about this.
⇢ Explain into your own words.
⇢ Don't copy/don't cheat.
⇢ Nonsense/Relevant answers, will be reported!
50 POINTS!
Thanks ~
Answer:
32 x 2
---------- = 16
.....4
To start off we can do 32 x 2.
32 x 2 = 64
Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16
In conclusion the fraction 32 x 2 / 4 is equal to 16.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer: hii
Step-by-step explanation:
The product of a number, x, and six is four more than the product of the number and three-eighths.
Which answer represents this situation?
6x+38x+4
6x=38x+4
6x ⋅ 38x+4
6x=38x ⋅ 4
f(x)= -4x^2+12x-9
What is the value of the discriminant of f?How many x-intercepts does the graph of f have?
Answer:
discriminant =b^2 -4ac
= (12)^2 -4(-4)(-9)
=0
Jonathan has solved 10 math problems
and solves 9 more each hour. Allison has
solved 30 math problems and solves 5
more each hour. How many hours (h) will
it be before Jonathan solves as many
problems (p) as Allison?
p = 9h + 10
p = 5h + 30
[?] hours
Jonathan will need five hours to complete as many puzzles (p) as Allison.
What is the solution to the equation?Any value associated with a variable that results in equal outcomes, i.e., tends to equalize the Left Hand Side (LHS) and Dominant Hand Side (RHS) of the formula equal, is a solution to an equation. To solve an equation, you must find the formula's workable answer.
Let p be the total number of math issues and h be the duration in hours. The equation is then presented as,
p = 9h + 10 ...1
p = 5h + 30 ...2
From equations 1 and 2, then we have
9h + 10 = 5h + 30
4h = 20
h = 5
Jonathan will need five hours to complete as many puzzles (p) as Allison.
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the issubset() method can be used to determine whether set1 is a subset of set2. True or false?
True. The is subset() method is used to check if all elements of set1 are present in set2, which means set1 is a subset of set2 if the is subset() method returns true.
True. The "is subset()" method can be used to determine whether set1 is a subset of set2. If all elements of set 1 are present in set 2, then set 1 is considered a subset of set 2. The method returns `True` if set1 is a subset of set2 and `False` otherwise.
In mathematics, if all the elements of A are also elements of B, then the set A is one of the set B; then B is a superset of A. A and B may be equal; if they are not, A is a necessary condition of B. A relationship in which one group is one of the other is called existence (or sometimes existence). A is part of B, it can also indicate that B contains (or contains) A, or that A contains (or contains) B. A k-subset is a subset with k elements.
A linked subset defines the partial order of a set. In fact, intersection and union give intersection and intersection, with subsets of the given set being Boolean algebra in the relationship, and the link itself is a Boolean coverage relationship.
Example usage:
```python
set1 = {1, 2, 3}
set2 = {1, 2, 3, 4, 5}
result = set1.issubset(set2)
print(result) # Output: True
```
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Please help me with this ASAP!!!!!
Answer:
Volume = 1099 cm³
Step-by-step explanation:
Volume = πr²h = 3.14(5²)(14) = 1099 cm³
What is the y-value of the solution to the system of equations? 3x 5y = 1 7x 4y = −13
The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2
To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.
Given system of equations:
3x + 5y = 1
7x + 4y = -13
Let's use the method of elimination to solve the system:
Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:
4(3x + 5y) = 4(1) --> 12x + 20y = 4
5(7x + 4y) = 5(-13) --> 35x + 20y = -65
Now, subtract equation 1 from equation 2 to eliminate the y term:
(35x + 20y) - (12x + 20y) = -65 - 4
35x - 12x = -69
23x = -69
x = -69/23
x = -3
Substitute the value of x into equation 1 to find y:
3(-3) + 5y = 1
-9 + 5y = 1
5y = 1 + 9
5y = 10
y = 10/5
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.
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9 divided by 1.034 i need help
\(Question\)
9 divided by 1.034
Answer:
We have the equation:
1.034 ÷ 9 = 0.114
Calculated to 3 decimal places.
Hope this Helps!!
xXxAnimexXx
Answer:
8.70406189555
Step-by-step explanation:
Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.
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Kai has 8 pints of buttermilk. He uses 4 ounces of buttermilk in
his receipe for a loaf of bread. How many loaves of bread can he make with the buttermilk that he has?
A. 2 loaves
B. 16 loaves
C. 24 loaves
D. 32 loaves
ava has 3 gallons of paint equally into 8 cans. how many gallons of paint will there b3 in each can
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
$
Answer:
$1493.49
Step-by-step explanation:
The original cost was doubled initially.
$995.66 x 2 = 1991.32
1991.32 x 0.75 (25% discount) = $1493.49
help please and thanks
Answer:
Yes
Step-by-step explanation:
If you substitute the x and y then you get -15 = -15
-15 = -3(4) - 3
-15 = -12 - 3
-15 = -15
Hope this helps :)
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
correct option is A
Step-by-step explanation:
mark me
I will give brainliest
Answer:
See below.
Step-by-step explanation:
1.
To get Sasha to skiing, she needs to go 5 units to the left, and 13 units up. (x - 5, y + 13).2.
To get Sasha to crafts from skiing, she needs to go 16 units to the right, and 11 units down. (x + 16, y - 11)3.
Sasha goes 4 units to the left, and 5 units down. She then arrives at Archery from Crafts.What is Mary's running speed in
miles per hour?
Answer:
4 to 6 miles an hour would be the answer
Brian leaves la at 8. 00am to drive to san francisco 400km away he travels at a steady 50 mph who gets to san drancisco first
Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.
A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.
For Brian, we use the formula time = distance / speed:
time = 400 miles / 50 mph = 8 hours
So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).
For Beth, we use the same formula:
time = 400 miles / 60 mph = 6.67 hours
So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).
Therefore, Beth gets to San Francisco first.
B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:
wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes
So the first to arrive has to wait for 20 minutes for the second to arrive.
Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?
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