Answer:
11%
Step-by-step explanation:
0.11*100=11%
necause 1%=1/100
Plz do this one too 2(x+7)−2(x−10)
Answer:
34
Step-by-step explanation:
Distribute
2x+14-2x+20
Combine like terms
34
Answer:
34
Step-by-step explanation:
Remember to do PEMDAS, multiply the number out side of the parentheses with what 9s inside of them.
c) What is the value of xº?
Answer:
1 is the value of x⁰ so this is the correct answer
Answer:
1
Step-by-step explanation:
Any number or variable with the power 0 has value 1.
please help, show your work first then choose the answer, thank you
Answer:your mom
Step-by-step explanati
Which equation shows that the Pythagorean identity is true for 0=270 degrees. select the equation that is in the form sin^2 0+cos^2 0=1
Answer:
c. (-1)²+0²=1
hope it is helpful to you.
The equation that is in the form sin^2 0+cos^2 0=1 is 0^2 +1^2= 1, the correct option is A.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that;
Form sin^2 0+cos^2 0=1
Now,
To check which equation satisfies the Pythagorean identity, we can substitute these values into each equation and see if they are equal to 1:
A. sin^2 270° + cos^2 270° = (-1)^2 + 0^2 = 1 + 0 = 1. This equation is true.
B. sin^2 270° + cos^2 270° = (0)^2 + (-1)^2 = 0 + 1 = 1. This equation is true.
C. sin^2 270° + cos^2 270° = (-1)^2 + (0)^2 = 1 + 0 = 1. This equation is true.
D. sin^2 270° + cos^2 270° = (1)^2 + (0)^2 = 1 + 0 = 1. This equation is true.
All four equations show that the Pythagorean identity is true for θ = 270 degrees. However, only one equation is in the form sin^2 θ + cos^2 θ = 1, which is A.
Therefore, by Pythagoras theorem the answer will be 0^2 +1^2= 1.
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Dora asks her friend...
1) Dora may be incorrect because we can't use the data to generalize that most people spent at least 4 hours reading last week because the research pertained to only her friends.
2) We can't find the range of time spent because the interval does not show us the highest nor lowest time spent in reading by the friends.
3) Mean = 4.8 hours
How to find the mean of the data?1) From the given table from the values gotten from the question Dora asked her friend, we can see that 11 of her friends out of a total of 20 friends spent a minimum of 4 hours reading.
However, we can't use this to generalize that most people spent at least 4 hours reading last week because the research pertained to only her friends.
2) We can't find the range of time spent because the interval does not show us the highest nor lowest time spent in reading by the friends.
3) The mean of the data is:
Mean = [(1 * 4) + (3 * 5) + (7 * 11)]/20
Mean = 96/20
Mean = 4.8 hours
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Select all the polygons that can be formed by the intersection of a plane and a cylinder, either parallel or perpendicular to the base?
The intersection of a plane and a cylinder can result in the following polygons when the plane is either parallel or perpendicular to the base:
Oa Rectangle
Oc Square
Od Triangle
What are the polygons that can be formedThe angle and position of the plane relative to the cylinder intersect determines a myriad of shapes not limited to just one. Herein are the descriptions for a few that may arise:
Rectangle: If a plane intersects the cylinder but remains parallel to its base, the resulting outline shall be rectangular. This is due to the aforementioned plane cutting through the lateral surface of the circumference, forming two equal lines--thereby shaping a closed loop in an angular fashion.
Square: The intersection of a plane perpendicularly bisecting the base of a cylindrical object will conjure up a square shape congruent to the cylinders. In other words, a perfectly squared compartment matching with the pre-existing edges of the bottom curve of the cylinder.
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Adar, Chi, and Melissa each left the party by themselves. In how many different orders can they leave?
A. 5
B. 6
C. 7
D. 9
A doctor prescribes 250 milligrams of a therapeutic drug that decays by about 10% each hour. Write an exponential model representing the amount A in milligrams of the drug remaining in the
patient's system after t hours.
A(t)=
Use the formula to find the amount of the drug that would remain in the patient's system after 3 hours. Round to the nearest milligram.
mg
A(3) = 185mg
Formula for exponential growth/decay is
A(t) = A0 * e^(xt)
Where A0 is your initial amount
x is your percentage
t is the time
A(3) = 250 * e^(-0.1*3)
A(3) = 185.2mg
Key point x is negative in this case as it's a decaying function. If it was growth it would be positive
The number of buses arriving at a bus stop in an mm minute interval is a Poisson random variable with average rate 1/101/10 per minute. What is the probability that you observe exactly one bus arrive while standing at the bus stop for 2020 minutes?
The probability of observing exactly one bus arrive while standing at the bus stop for 2020 minutes is extremely small, approximately 2.75999e-88.
To solve this problem, we can use the Poisson probability formula. Given that the average rate of buses arriving at the bus stop is 1/10 per minute, we can calculate the probability of observing exactly one bus arrive during a 2020-minute interval.
The Poisson probability formula is:
P(X = k) = (e^(-λ) * λ^k) / k!
Where:
P(X = k) is the probability of observing exactly k events,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate of events per interval,
k is the number of events observed,
and k! is the factorial of k.
In this case, we want to find P(X = 1) for an interval of 2020 minutes and an average rate of 1/10 per minute.
λ = average rate * interval = (1/10) * 2020 = 202
Plugging these values into the Poisson probability formula:
P(X = 1) = (e^(-202) * 202^1) / 1!
Simplifying:
P(X = 1) = e^(-202) * 202
Calculating the result:
P(X = 1) ≈ 2.75999e-88
Therefore, the probability of observing exactly one bus arrive while standing at the bus stop for 2020 minutes is extremely small, approximately 2.75999e-88. This indicates that it is highly unlikely to see only one bus arrive during such a long interval, given the average rate of 1/10 buses per minute.
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given a function f : a → b and subsets w, x ⊆ a, then f (w ∩ x) = f (w)∩ f (x) is false in general. produce a counterexample.
Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.
Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.
f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.
On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.
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please help im very confused
8x+y=5 and x+y=12 , using substitution and elimination
Answer:
x=−1,y=13
Step-by-step explanation:
Answer:
x = -1 and y = 13 Please Mark Brainliest
Step-by-step explanation:
AD
BA
B
C.
А
D
0
3
E
If mZ1=mZ2, then mZ1 is:
90
30
45
60
Answer:
let angle 1 = angle 2 = x
as ad perp to bf they make 90 degrees at BOD
so
angle 1 + angle 2 = 90 degree
x + x = 90
2x = 90
x = 45
so angle 1 = 45° options c
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
How long it takes for something to travel a certain distance is the definition of:
Answer: boat
Step-by-step explanation: the farthest it can go is weeks
Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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The population for a clinical study has 500 Asian, 1000 Hispanic and 500 Native American people. What is good way of sampling this population to ensure that the distribution of various sub-populations is maintained if only 200 samples have to be chosen? Give the distribution of the various sub-populations in the final sample.
A good way to sample this population while maintaining the distribution of various sub-populations is by using stratified sampling. In stratified sampling, the population is divided into homogeneous subgroups or strata based on certain characteristics, and then a random sample is selected from each stratum.
To ensure that the distribution of various sub-populations is maintained, the sample should include a proportional representation of individuals from each subgroup. In this case, the subgroups are Asian, Hispanic, and Native American.
Here's how the distribution of the various sub-populations can be maintained in the final sample:
1. Determine the proportion of each subgroup in the population:
- Asian: 500 / 2000 = 0.25 (25%)
- Hispanic: 1000 / 2000 = 0.5 (50%)
- Native American: 500 / 2000 = 0.25 (25%)
2. Calculate the number of samples to be chosen from each subgroup:
- Asian: 0.25 * 200 = 50 samples
- Hispanic: 0.5 * 200 = 100 samples
- Native American: 0.25 * 200 = 50 samples
3. Randomly select the specified number of samples from each subgroup.
By using stratified sampling with the specified proportions, the final sample of 200 individuals will have a distribution that reflects the proportions of Asian, Hispanic, and Native American subpopulations in the overall population.
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if the test scores of a class of 35 students have a mean of 73.1 and the test scores of another class of 26 students have a mean of 65.6, then the mean of the combined group is
The mean of the combined group of classes is 69.35
Mean is given by by dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).
It is given that,
The mean of test scores of a class having 35 students = 73.1
And,
The mean of test scores of a class having 26 students = 65.6
We need to find,
The mean of the combined group of classes = mean of both classes
Mean of both classes = \(\frac{73.1 + 65.6}{2}\)
= \(\frac{138.7}{2}\)
= 69.35
Hence, 69.35 is the mean of the combined group of classes
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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The ratio of the number of adults to the number of students on a field trip has to be 2:11. Last year there was 504 more students on a field trip. If the school is expecting the same attendance this year, how many adults have to attend the field trip?
Answer:
112 adults
Step-by-step explanation:
2x+504=11x
11x-2x=504
9x=504
x=56
The ratio is 2:11 so we multiply 56 by 2 and 11. The 2 represents the Adults and the 11 represents the students.
56*2=112 adults
56*11 = 616 students
Just to double check if you do 616-112 it is exactly 504, Therefore the amount of adults is 112.
Have a great day!
Please help which one isnt a function pleasee
Answer:
the answer is B
Step-by-step explanation:
B is not a function it is a chart
(goin off off what i was told in middle school)
Find the highest common factor (hcf) of 46 and 38
Answer:
2
Step-by-step explanation:
2 is the highest number than multiplies into both 46 and 38
Write an equation of the circle with center \( (5,9) \) and radius \( 11 . \)
Give the equation of the circle centered at the origin and passing through the point \( (0,4) \).
The equation of the circle centered at the origin and passing through the point (0, 4) is \($x^2+y^2=16$\).
Let the center of the circle be represented as (h,k) and the radius of the circle be represented as r.
The general equation of a circle is given by \($$(x-h)^2+(y-k)^2=r^2$$\)
where the center of the circle is (h, k), and the radius is r
The equation of the circle with center (5, 9) and radius 11 is \($$(x-5)^2+(y-9)^2=11^2$$\)
To get the equation of the circle centered at the origin and passing through the point (0, 4), the center of the circle is the origin, which means (h, k) = (0, 0), and the radius r is given as the distance from the origin to (0, 4).
That distance is 4 units.
Therefore, the equation of the circle can be given by \($$(x-0)^2+(y-0)^2=4^2$$\)
Simplifying the equation gives:\($$x^2+y^2=16$$\)
Therefore, the equation of the circle centered at the origin and passing through the point (0, 4) is \($x^2+y^2=16$\).
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Select the best description of exponential equation
f ( x ) = 97 ( 6.77 )^x
A) Decaying by 677%
B) Growing by 677%
C) Growing by 577%
D) Decaying by 577%
pls if you can help
Answer:
x ≈ 8.4
Step-by-step explanation:
10
using the cosine ratio in the right triangle
cos64° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{MN}{LN}\) = \(\frac{3.7}{X}\) ( multiply both sides by x )
x × cos64° = 3.7 ( divide both sides by cos64° )
x = \(\frac{3.7}{cos64}\) ≈ 8.4 ( to the nearest tenth )
uppose that Mr. Juice requests that Wonderland, from the previous problem, offer him an interest rate of 2.0%. To make this work, Juice promises to put up collateral worth $X. In order to make Wonderland willing, what does X need to be? $680 O$715 $1,331 $1,498 D Question 2 1 pts Suppose Mr. Juice needs a $1,660 loan and the bank, Wonderland Banking, has decided that this guy will repay with probability 0.83, and default otherwise. At a competitive interest rate, Wonderland will require a loan repayment of $ O $1,943.78 O $1,992.00 O $2.144.50 O $2.243.24 Question 2 Suppose Mr. Juice needs a $1,660 loan and the bank, Wonderland Banking, has decided that this guy will repay with probability 0.83, and default otherwise. At a competitive interest rate, Wonderland will require a loan repayment of $ O$1,943.78 $1.992.00 O $2.144.50 $2.243.24 1 pts
To determine the value of collateral, we need to consider the risk associated with the loan and the desired interest rate.
In the first question, Mr. Juice requests an interest rate of 2.0% from Wonderland. To make this offer attractive to Wonderland, Mr. Juice needs to provide collateral worth a certain amount, denoted as $X.
To calculate the required value of collateral, we can use the formula:
Collateral Value = Loan Amount / (1 - Probability of Default) - Loan Amount
Plugging in the values:
Collateral Value = $1,660 / (1 - 0.83) - $1,660
Collateral Value ≈ $9,741.18
Therefore, in order to make Wonderland willing to offer Mr. Juice an interest rate of 2.0%, Mr. Juice needs to provide collateral worth approximately $9,741.18.
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Hi, i would really appreciate if someone helped me out!
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $11 and a pie costs $10. In one day, the store sold 11 baked goods for a total of $117. How many cakes did they sell?
Answer:
7cakes and 4 pies
Step-by-step explanation:
a scientist wishes to determine the acceleration of gravity on the surface of the planet nos'kere by experimenting with a pendulum. the length of the pendulum is 3.4 m, and the period of the pendulum is 2.9 s.
The acceleration of gravity on the surface of planet Nos'kere is about 21.16 m/s².
Since we know that,
The formula for the period of a pendulum is,
⇒ T = 2π√(L/g)
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
We can rearrange this formula to solve for g,
⇒ g = 4π²L/T²
Substituting the given values, we get,
⇒ g = 4π²(3.4 m)/(2.9 s)²
⇒ g ≈ 21.16 m/s²
Therefore,
On the surface of the planet Nos'kere, gravity accelerates at a rate of around 21.16 m/s².
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Help!!!!! please!!!!!
Answer: D) 602.88
Step-by-step explanation:
A cylinder is basically a circle prism. Any prism volume can be found by taking the area of the base * the height. The circle area is 4^2*3.14 = 50.24. Then multiply that by the height(12) 50.24*12 = 602.88
Also, so far all of your questions that I've answered have been D...
Hope it helps <3
which of the expressions have a value of 2?
Answer:
The answers are B and E
Step-by-step explanation:
The square root of 4 is 2.
The cube root of 8 is 2.
A is wrong because its value is 4.
C is wrong because its value is 4.
D is wrong because the square root of 8 isn't whole.
Answer:
E. √4
B. ³√8
Step-by-step explanation:
You can find this simply by putting it into a calculator if you have access to one. Just type √ and 4. If you don't have a calculator, you can just use the knowledge that 2 × 2 = 4, hence why it's the square root of 4 :)
You can also determine that B is correct by doing 2 to the power of 3.
2³ = 8, so you know that B is correct too.