Answer:
option B
Step-by-step explanation:
The first option doesn't work because pi is not a rational number.
The third option doesn't work because sqrt(45) and sqrt (36) are not rational.
The fourth option is not correct because the second number is never terminating and never repeating.
Therefore, the second option has to be correct.
if an object is moving with constant momentum ‹ 10, −17, −4 › kg · m/s, what is the rate of change of momentum dp with arrow/dt?
The rate of change of momentum is zero, and the momentum remains constant at ‹ 10, −17, −4 › kg · m/s.
The rate of change of momentum is given by the equation dp/dt = F, where F is the net force acting on the object.
If the object is moving with constant momentum, this means that there are no net forces acting on it, and therefore the rate of change of momentum is zero.
In other words, the momentum is not changing over time, and it remains constant at ‹ 10, −17, −4 › kg · m/s.
dp/dt = 0
This means that the object is moving with constant velocity, since the momentum is equal to the mass times the velocity, and the mass is not changing.
Therefore, the rate of change of momentum is zero, and the momentum remains constant at ‹ 10, −17, −4 › kg · m/s.
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how to find side lengths of a triangle using angles
To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent
To find the side lengths of a triangle using angles, you can follow these steps:
Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.
Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.
Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).
Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:
If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.
If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.
If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.
Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.
Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.
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true or false: in a probability model, the sum of the probabilities of all outcomes must equal 1.
Answer:
Step-by-step explanation:
false that is not at all true
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease. Smoking and alcohol consumption habits were recorded for all 3 groups. Is this an example of an observational study or experimental study
Answer:
It is an example of an observational study.
Step-by-step explanation:
The given number case is example of an observational study.
What is Observational study?Observational studies are ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it. Cohort studies and case control studies are two types of observational studies.
Given:
In a study to support drug discovery for patients with lung cancer, patients were divided into 3 groups based on the severity of the disease.
Smoking and alcohol consumption habits were recorded for all 3 groups.
The above is somehow the example of research which requires an observation which does not change any data.
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Find the sample standard deviation. Round to one decimal place. 16, 16, 15, 8, 7, 13, 19, 8, 10 A. 18.8 B. 16.7 C. 4.3 D. 4.1
The sample standard deviation is 4.3
To find the sample standard deviation, we first need to calculate the mean of the data set:
mean = (16 + 16 + 15 + 8 + 7 + 13 + 19 + 8 + 10)/9 = 12.2
Next, we need to calculate the variance. To do this, we subtract the mean from each data point, square the result, and then find the average of those squared differences:
variance = [(16-12.2)^2 + (16-12.2)^2 + (15-12.2)^2 + (8-12.2)^2 + (7-12.2)^2 + (13-12.2)^2 + (19-12.2)^2 + (8-12.2)^2 + (10-12.2)^2]/(9-1) = 18.5
Finally, we take the square root of the variance to find the standard deviation:
standard deviation = √18.5 = 4.3
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convert percents to fractions 58% 92% 54% 49% 20%
Your company obtained a standard reference material for avobenzone from the FDA that contains 0.250mg avobenzone per gram sunscreen. Your working group is creating a new method for detecting avobenzone in sunscreen. You analyze the standard and find it contains 0.256,0.279,0.328,0.305,0.312 and 0.230ug/g of avobenzone. You need to present your findings to your supervisor. Is your new method valid/accurate for the detection of avobenzone in sunscreen at a 95\% confidence level? (show all of your work)
Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.
The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.
To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.
At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.
By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.
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What is √45 rounded to the nearest whole number
Answer:
3√5
Step-by-step explanation:
What is another name for intercept form?
help help help help
How many terms are in this expression?
8 + 6b+ 5c
Answer:
3
Step-by-step explanation:
Does anyone know this? Pls help it’s 7th grade math
Answer:
Step-by-step explanation:
-1,-1?
depends on what you are trying to find. That is where they intercect.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 10 feet and a height of 8 feet. Container B has a diameter of 12 feet and a height of 7 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?
Answer:
79.4%
Step-by-step explanation:
the volume of a cylinder is as for any other regular 3D object
base area × height
the base area is for a cylinder a circle.
so, it is
pi×r² × height
the radius (r) is always half of the diameter.
so, volume of cylinder A is
Va = pi×(10/2)² × 8 = pi×25 × 8 = 200pi ft³
the volume of cylinder B is
Vb = pi×(12/2)² × 7 = pi×36 × 7 = 252pi ft³
therefore, in a volume of 252pi ft³ we have 200pi ft³ filled with water.
252pi = 100% filling
1% = 100%/100 = 252pi/100 = 2.52pi
how many % are 200pi ?
as many as times 1% fit into 200pi :
200pi/2.52pi = 200/2.52 = 79.36507937... ≈ 79.4%
(co 3) out of each 100 products, 93 are ready for purchase by customers. if you selected 27 products, what would be the expected (mean) number that would be ready for purchase by customers?
The expected (mean) number of products ready for purchase by customers in a selection of 27 products is approximately 25.
Out of each 100 products, 93 are ready for purchase by customers.
To find the expected number of products ready for purchase in a selection of 27, follow these steps:
1. Determine the probability of a product being ready for purchase: 93 (ready products) ÷ 100 (total products) = 0.93.
2. Multiply the probability by the number of selected products: 0.93 × 27 = 25.11.
The expected (mean) number of products ready for purchase by customers in a selection of 27 products is approximately 25.
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Please help with these 3 questions! Will give brainliest and 25 points.
a. I and II only true statement.
b . ∠3 = 84°
c . m∠KJM = 138° and m∠KLM = 59°
Properties of an Isosceles trapeziumOnly one pair of sides are parallelThe diagonals are equal in measure.The opposite angles are supplementaryThe base angles are equal in measure.Therefore, i and ii are true for an isosceles trapezium.
∠2 ≅ ∠3
∠1 ≅ 96°
Therefore,
∠3 = 180 - 96
∠3 = 84°
m∠KJM = 180 - x - 14
5x - 2 = 180 - x - 14
5x - 2 = 180 - x - 14
5x + x = 180 - 14 + 2
6x = 168
x = 168 /6
x = 28
m∠KJM = 5(28) - 2 = 138°
m∠KLM = 180 - 10y + 29
3y + 14 = 180 - 10y + 29
3y + 10y = 180 + 29 - 14
13y = 195
y = 195 / 13
y = 15
m∠KLM = 3(15) + 14
m∠KLM = 45 + 14
m∠KLM = 59°
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what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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Find the area of the shaded region enclosed in a semicircle of diameter 8 centimeters. The length of the chord AB is 4 centimeters. [Hint: Triangle ABC is a right triangle.] The area is approximately
The problem asks us to find the area of the shaded region enclosed in a semicircle of diameter 8 centimeters, where the length of the chord AB is 4 centimeters. We can use the hint provided, which states that triangle ABC is a right triangle, to solve the problem.
To find the area of the shaded region, we can divide it into two parts: the semicircle and the triangle.
The area of the semicircle is half the area of a full circle, so we can use the formula for the area of a circle to calculate it.
The radius of the semicircle is half the diameter, which is 4 centimeters. Thus, the area of the semicircle is (1/2) * π * (4 cm)².
The triangle ABC is a right triangle, with AB as the base and AC as the height.
The length of AB is given as 4 centimeters, and AC is the radius of the semicircle, which is 4 centimeters.
The area of a triangle can be calculated as (1/2) * base * height, so the area of triangle ABC is (1/2) * 4 cm * 4 cm.
To find the area of the shaded region, we subtract the area of the triangle from the area of the semicircle:
Area of shaded region = Area of semicircle - Area of triangle
Area of shaded region = [(1/2) * π * (4 cm)²] - [(1/2) * 4 cm * 4 cm]
Calculating the values, we get:
Area of shaded region ≈ 8π cm²
So, the approximate area of the shaded region is 8π square centimeters.
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Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-4t+22.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+12.
What are the two solutions to this system? Show your work algebraically.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
The system's two potential fixes are
t = 3.099 tennis ball
launch of a rocket, t = 6
Antonio's rocket's height is the unreasonable solution, because the path was followed should not be a linear function.
At 2.32 seconds, the rocket and tennis ball both reach the same height.
How can the two systems be solved?The two equations of motion are
b(t) = -t² - 4t + 22.
p(t) = -2t + 12
The answer to the quadratic equation is
b(t) = -t^2 - 4t + 22.
t = 3.099 OR t = -7.099
use positive hence t = 3 seconds
The linear equation's answer is
t = 6
The linear equation is the answer that is unreasonable in this case. because projectile motion does not follow a linear path
duration to reach the same height
-2t + 12 = -t^2 - 4t + 22.
-t^2 - 2t + 10
When the equation is solved,
t = 2.3166 OR -4.3166
select the positive number.
t = 2.32 s
2.32 s is needed to reach the same height.
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a sample of n = 4 scores is selected from a population with µ = 70 and s = 10. the probability of obtaining a sample mean greater than 65 is p = 0.8413.True or False
The answer is False.
What is Probability ?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.
The meaning of probability is basically the extent to which something is likely to happen. This is a basic theory of probability that is also used in probability distributions, where you learn the possibilities of outcomes for a random experiment.
To find the probability of a single event occurring, we should first know the total number of possible outcomes.
We can use the central limit theorem to approximate the distribution of the sample mean as normal, with a mean of μ = 70 and a standard deviation of σ/√n = 10/√4 = 5. Therefore, we need to find the probability of obtaining a sample mean greater than 65:
Z = (x - μ) / (σ/√n) = (65 - 70) / (5/2) = -2
Using a standard normal distribution table or calculator, we can find that the probability of obtaining a Z-score of -2 or less is approximately 0.0228.
Therefore, the probability of obtaining a sample mean greater than 65 is 1 - 0.0228 = 0.9772, which is not equal to 0.8413. So the statement is false.
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solve 4n - 8 = 14n + 12
please help <3 ( will give brainliest )
Basically...
4n - 8 = 14n + 12
Simply collect like terms,
4n-14n=12+8
-10n=20
Divide both sides by -10
n= -2
Please mark BRAINLIEST.
Step-by-step explanation:
\(4n - 8 = 14n - 4n \ \\ - 8 - 4 = 14n - 4n \\ - 20 = 10n \\ - \frac{20}{10} = n \\ n = - 2\)
find CE 14 6 x - 5 2x + 3
The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔACE
Let the second triangle be represented as ΔBDC
The measure of side AB = 6
The measure of side BC = x - 5
The measure of side AC = x + 1
The measure of side CD = 14
The measure of side DE = 2x + 3
The measure of side CE = 2x + 17
Now , ΔACE and ΔBDC are similar
So , the corresponding sides of similar triangles are in the same ratio
Substituting the values in the equation , we get
AC / CE = BD / CD
( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14
On simplifying the equation , we get
14x + 14 = 2x² - 10x + 17x - 85
Subtracting 14x + 14 on both sides of the equation , we get
2x² - 7x - 99 = 0
On factorizing the equation , we get
x = 9 or x = -11/2
Substituting the value of x in the equation , we get
The length of line segment CE = 2x + 17
The length of line segment CE = 2 ( 9 ) + 17
The length of line segment CE = 35
Hence , the length of CE is 35
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Please help me please please
Answer: The answer is A bc you have to multiply .57 and 18. Hope this helps
If 120 students participated in the canned food drive, how many would you expectto have brought at least 15 cans on this day
If 120 students participated in the canned food drive, the number of students who would have brought at least 15 cans on this day would depend on the total number of cans brought by the 120 students.
In order to determine an accurate number, further data is needed. However, as it was not specified how many cans each student brought, we can apply the following calculation instead, assuming that they each brought an average of 1.25 cans:
Total number of cans = Number of students × Average cans brought per student. Therefore,Total number of cans = 120 × 1.25
Total number of cans = 150From the calculation, it can be inferred that there were 150 cans brought on this day by the 120 students who participated in the canned food drive.
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5x - 12 = 13, solve using algebra.
Step-by-step explanation:
5x-12=13
5x -12 =13
+12=+12
5x= 25
5 =. 5
x=5
5x - 12 = 13
5x = 13 + 12
5x = 25
25 divided by 5 is 5
Answer: x = 5
Use the digits 0 - 9 to write five decimal numbers that arranged in ascending order.use each digit once in each decimal number.
Answer:
0.1, 2.3, 4.5, 6.7, 8.9
or
1.0, 3.2, 5.4, 7.6, 9.8
How much longer is a 1-inch button than a 3/8-inch button?
Please help !!!!! Don’t answer if you just want to scribble . Imagine how you would feel if it were you .
Answer:
m= -3
b= 4
Step-by-step explanation:
whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.
Hope this helps!!!
I INCLUDED THE GRAPH! PLEASE HELP ITS URGENT PLEASE I AM DOING MY BEST TO RAISE MY GRADE!!!
Graph g(x)=−|x+3|−2.
Use the ray tool and select two points to graph each ray.
The graph of the function g(x) = −|x + 3| − 2 is added as an attachment
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = −|x + 3| − 2
The above expression is an absolute value function that hs the following properties
Reflected over the x-axisTranslated left by 3 unitsTranslated down by 2 unitsVertex = (-3, -2)Next, we plot the graph
See attachment for the graph of the function
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6. *Five classmates came to Dan's birthday party. This is half as many as the numberof friends from his summer camp, and one third as many as the number of hisrelatives that were there. How many people were at Dan's birthday party, if relatives,friends from the summer camp, and classmates are all different people?
Let's use the letters:
• C for the number of classmates at the party,
,• S for the number of friends from summer camp at the party,
,• R for the number of relatives at the party.
So, the total number of people at the party is:
C + S + R
We ere already informed that the number of classmates is 5. So:
C = 5
Also, we know that 5 is half as many as the number of friends from his summer camp. So:
5 = S/2
Multiplying both sides of the relation above, we find:
2 * 5 = 2 * S/2
10 = S
S = 10
Now, we also know that 5 is one-third as many as the number of his relatives that were there. So, we have:
5 = R/3
3 * 5 = 3 * R/3
15 = R
R = 15
Therefore, the total number of people at the party is:
C + S + R = 5 + 10 + 15 = 30
Answer: There were 30 people at Dan's birthday party.
How many quarts, rounded to the nearest tenth, are in 50 liters?
Answer: 52.9 quarts
Step-by-step explanation:
From the question, we are informed to calculate the number of quarts that are in 50 liters.
1 liter = 1.057 liquid quarts
50 liters will now be:
= 50 × 1.057
= 52.85
= 52.9 quarts
There are 52.8 quarts rounded to the nearest tenth
In order to get the number of quarts in 50 litres, we will use the following conversion:
1 litres = 1.05669 quartz
For 50 litres;
50 litres = x
Divide both expressions
\(\frac{1}{50} = \frac{1.05669}{x} \\Cross \ multiply\\x = 50 \times 1.05669\\x = 52.8345\)
This shows that there are 52.8 quarts rounded to the nearest tenth
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CDE~CKJ
HELP PLEASE!!!
Answer:
nah i said D first
\
Step-by-step explanation: