Answer:
SOH CAH TOA
(Sine,opposite,Hypotenuse) - SOH
(Cosine, adjacent, Hypotenuse) - CAH
(Tangent,opposite,adjacent) - TOA
Step-by-step explanation:
Answer:
SOH CAH TOA
is the answer
I need this answer asap
Answer:
According to phythagorian theorem
Hypotenus (square) = Base(square) + perpendicular (square)
H^2 = B^2 + P^2
now by substitution
H^2 = 9 +16
H^2 = 25
taking roots
Hypotenus= 5
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Based on the data, which of the following statements must be true?
Answer:
hope this help
Step-by-step explanation:
here is the answer
Solve -6x +18> -30.
A. x < 2
B. x > 2
C. x > 8
D. x < 8
Answer: D, x < 8
Step-by-step explanation: Subtract 18 from both sides.
Simplify the expression
Subtract the numbers
Subtract the numbers
Divide both sides by the same factor, and flip the relation because the factor is negative
Cancel terms that are in both the numerator and denominator
Divide the numbers
−6x+18−18>−30−18=
=x<8
find a particular solution to the nonhomogeneous differential equation y′′ 4y′ 5y=10x 5e−x.
y_p(t) = 2 - e^(-t) + te^(-t)
How to find particular solution?
To find a particular solution, we can use the method of undetermined coefficients.
First, complementary solution is y_c(t) = e^(-2t)(c1 cos(t) + c2 sin(t)).
Next, we can guess that the particular solution has the form:
y_p(t) = (a0 + a1t) + (b0 + b1t)e^(-t)
where a0, a1, b0, and b1 are constants that we need to determine.
Taking the first and second derivatives of y_p(t), we get:
y'_p(t) = a1 - b1e^(-t)
y''_p(t) = b1e^(-t)
Substituting y_p(t), y'_p(t), and y''_p(t) into the nonhomogeneous equation, we get:
b1e^(-t) + 4(a1 - b1e^(-t)) + 5(a0 + a1t + b0e^(-t) + b1te^(-t)) = 10x + 5e^(-x)
Simplifying the left-hand side and equating the coefficients of like terms on both sides, we get the following system of equations:
a1 - 4b1 + 5b1 = 0 (coefficient of e^(-t))
-4a1 + 5a0 + 5b0 = 10 (coefficient of 1)
5a1 + 5b1 = 5 (coefficient of te^(-t))
-5b1 = 5e^(-x) (coefficient of e^(-x))
a1 = 0 (coefficient of x)
Solving for the constants, we get:
a1 = 0
b1 = -e^(x)
a0 = 2
b0 = 0
Therefore, the particular solution to the nonhomogeneous differential equation is:
y_p(t) = 2 - e^(-t) + te^(-t)
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simplify expression, write in scientific notation.
(8x10^-5)(7x10^-3)
(8x10^-5)(7x10^-3) = (8×7) × (10^-5 × 10^-3)
= 56 × 10^-8
56 × 10^-8 = 5.6 × 10^-7
(8x10^-5)(7x10^-3)
5.6 x 10^-7
Can someone please help me, I’m struggling
Answer:
Vertical
Step-by-step explanation:
I got this correct :) and also because if it would be supplementray, those angles would be placed different (on one line) had they’re not corresponding or alternating. So its C - vertical. :) Can you please mark me as brainliest?
Answer:
If that says 6 and 8 then they are vertical. If it's 6 and 3 then they are alternate interior. Forgive me for I am blind.
Which of the following points is on a circle if its center is (-13,-12) and a point on the circumference is (-17, -12)? What is arc PT?
Answer: the first one is (-9,-12) the second one is 13 or 25 i'm not sure
Step-by-step explanation:
Please help me! It would be greatly appreciated.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The ratio shown above is :
\(2 : 4\)it can be more simplified as :
\(1 : 2\)What is the highest power of 2 that is less than 1000? Enter result of 2
∧
N, not just the power N. Question 4 Express this hexadecimal number in decimal: 4AF
Question 1: The highest power of 2 that is less than 1000 is 2^9 = 512.
Question 4: The decimal equivalent of the hexadecimal number 4AF is 1199.
Question 1: What is the highest power of 2 that is less than 1000?
We know that,
2^ {10} = 1024 which is the smallest number greater than 1000.
Therefore, the highest power of 2 that is less than 1000 is 2^ 9
2^ (9) = 512
Question 2: Express this hexadecimal number in decimal: 4AF
To convert hexadecimal number to decimal number, we multiply each digit of the hexadecimal number by its place value and add the products. We can start from the right and work our way to the left.
4AF in hexadecimal is equal to:
(4 × 16²) + (10 × 16¹) + (15 × 16⁰)
= 1024 + 160 + 15
= 1199
Therefore, the decimal equivalent of the hexadecimal number 4AF is 1199.
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An electron is described by a wave function given by ψ(x)=
a
2
cos(
a
πx
) for
2
−a
2
+a
. The wave function is zero elsewhere. Calculate the probability of finding the electron between (a)0
4
a
, (b)
4
a
2
a
, and (c)
2
−a
2
+a
.
A. a^2/4
B. a^2/4
C. The probabilities of finding the electron between (a) 0 and 4a, (b) 4a/2 and 2a, and (c) 2-a/2 and a+a/2 are a^2/4, a^2/4, and a^2/8, respectively.
To calculate the probability of finding the electron between two points, we need to integrate the square of the wave function over that region and normalize it by integrating the square of the wave function over all space.
The normalization condition for the wave function is:
∫|ψ(x)|^2 dx = 1
In this case, we have:
∫|ψ(x)|^2 dx = ∫ψ*(x)ψ(x) dx
= ∫(a/2)^2(cos(aπx))^2 dx
where ψ*(x) is the complex conjugate of ψ(x).
Now, to calculate the probability of finding the electron between two points, we need to integrate |ψ(x)|^2 over that region. For example:
(a) Probability of finding the electron between 0 and 4a:
P = ∫0 to 4a |ψ(x)|^2 dx
= ∫0 to 4a (a/2)^2(cos(aπx))^2 dx
= (a/2)^2 [sin(2aπ) - sin(0)]
= a^2/4
(b) Probability of finding the electron between 4a/2 and 2a:
P = ∫4a/2 to 2a |ψ(x)|^2 dx
= ∫4a/2 to 2a (a/2)^2(cos(aπx))^2 dx
= (a/2)^2 [sin(3aπ) - sin(aπ)]
= a^2/4
(c) Probability of finding the electron between 2-a/2 and a+a/2:
P = ∫2-a/2 to a+a/2 |ψ(x)|^2 dx
= ∫2-a/2 to a+a/2 (a/2)^2(cos(aπx))^2 dx
= (a/2)^2 [sin(2aπ) - sin(aπ)]
= a^2/8
Therefore, the probabilities of finding the electron between (a) 0 and 4a, (b) 4a/2 and 2a, and (c) 2-a/2 and a+a/2 are a^2/4, a^2/4, and a^2/8, respectively.
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1a. What is the product of 2x - 3 and 5x^2 - 2x + 6? Work and Answer:
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
\((2x - 3) \times (5 {x}^{2} - 2x + 6)\)\(10x {}^{ 3} - 4 {x}^{2} + 12x - 15 {x}^{2} + 6x - 18\)\(10 {x}^{3} - 19 {x}^{2} + 18x - 18\)Done!
Which property does this represent?
Answer:
quotient
Step-by-step explanation:
please mark me as brainlest
What concepts and procedures of the scientific method are being violated in this scenario? How would you devise a study to answer the research question in each scenario?
The concepts and procedures of the scientific method that are being violated in this scenario are: a. Lack of Control Group, b. Lack of Randomization, c. Lack of Blindness, d. Failure to Replicate, e. Extraneous and Confounding Variables.
Lack of Control Group: A control group is a group that is identical to the experimental group in every way except that they do not receive the treatment. It helps in determining whether the treatment has an effect. In this scenario, the lack of a control group makes it impossible to determine whether the treatment is responsible for the difference between the experimental group and the control group.
Lack of Randomization: Randomization is the process of assigning subjects to groups randomly. It ensures that each group is identical to the others in every way except for the treatment. In this scenario, the lack of randomization makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to differences between the groups.
Lack of Blindness: Blinding is the process of keeping the subjects unaware of whether they are in the experimental or control group. It ensures that the subjects do not change their behavior based on their knowledge of whether they are receiving the treatment or not. In this scenario, the lack of blindness makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to the subjects knowing which group they are in.
Failure to Replicate: Replication is the process of repeating the study to see whether the results are consistent. In this scenario, the failure to replicate the study makes it impossible to determine whether the results are consistent with previous studies.
Extraneous and Confounding Variables: Extraneous variables are variables that are not of interest to the researcher but that may have an effect on the outcome of the study. Confounding variables are variables that are not of interest to the researcher but that are related to both the independent and dependent variables.
In this scenario, the presence of extraneous and confounding variables makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to these variables.
Devise a study to answer the research question in each scenario: To devise a study to answer the research question in each scenario, we must consider the concepts and procedures of the scientific method. We must include a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
To conclude, lack of a control group, randomization, and blindness, failure to replicate, and the presence of extraneous and confounding variables violate the concepts and procedures of the scientific method. To answer the research question in each scenario, we must devise a study that includes a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
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Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. £25142.86
b. £16833.33
Step-by-step explanation:
According to the Question,
Given, The Salary Of 7 People in An Office are,
Andy ⇒ £9500
Bevan ⇒ £25000
Cheryl ⇒ £13250
Deva ⇒ £75000
Elliott ⇒ £12750
Frankie ⇒ £29500
Grace ⇒ £11000
a. The mean income = Total Sum of Salaries ÷ Number of Workers
Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7
Mean = 176000 / 7 ⇒ £25142.86
b. Now, The Mean income After Excluding Deva's Salary is,
Mean = (9500+25000+13250+12750+29500+11000) ÷ 6
Mean = 101000 / 6 ⇒ £16833.33
HELP I HAVE 10 MINUTES
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas?
Answer:
68 1/4
Step-by-step explanation:
Answer: YOU ARE SO CORRECT UP THERE
Step-by-step explanation: I TOOK THE QUIZ AND GOT 100%
Make 2 sets of data 8 numbers each between 1 and 25. Then calculate the median and IQR for each data set.
Due in 25 mins please help quick!!
The median of the data set will be 15.5. The data set is in between the 1 to 25.
What is median?Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.
The data set between the number is;
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
The value of IQR for data set is;
First Quartile Q1 = 6.5
Second Quartile Q2 = 13
Third Quartile Q3 =19.5
The median of the data set is;
\(\rm Median= \frac{15+16}{2} \\\\ Median= 15.5\)
Hence, the median of the data set will be 15.5.
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In the diagram shown, points B and D lie on sides AC and AE such that BD is parallel to CE . If 10AB, 16BC , and 13AD then find the length of AE ?
Answer:
\( \displaystyle \overline{AE} = 33.8\)
Step-by-step explanation:
By triangle similarity theorem we acquire:
\( \displaystyle \frac{10}{16 + 10} = \frac{13}{ AE } \)
since AE=AD+ED substitute:
\( \displaystyle \frac{10}{16 + 10} = \frac{13}{ 13 + ED} \)
simplify addition:
\( \displaystyle \frac{10}{26} = \frac{13}{ 13 + ED} \)
cross multiplication:
\( \displaystyle 10(13 + ED) = 26 \times 13\)
distribute:
\( \displaystyle 13 0+ 10ED = 26 \times 13\)
simplify multiplication:
\( \displaystyle 13 0+ 10ED =338\)
cancel 130 from both sides:
\( \displaystyle10ED =208\)
divide both sides by 10:
\( \displaystyle \: ED =20.8\)
so, the measure of side AE=20.8+13=33.8
Which relation is a function of x?
Answer: The bottom option, the graph.
Step-by-step explanation:
A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.
Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.
For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.
The second relation is not a function.
the third relation is:
x = 3*y^2 - 7
This is a function, but in this relation x is the output and y the input, so this is a function of y.
In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.
Answer:
D
Step-by-step explanation:
mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form
Answer:
18/30
Step-by-step explanation:
Evaluate each function: 1. p(a) = 3a-2; find p(-5) 2. h(t) = 4t+2; find h(-4) 3. f(a) = 3a-4; find f(1) 4. g(x) = 3x+ 1; find g(-9) 5. k(x) = x-1; find k(5) 6. f(x) = x+1; find f(7) 7. h(t) = 4t+2; find h(-8) 8. g(x) = 2x=1; find g(2) 9. w(a) = a+4; find w(9) 10. g(n) = 4n+2; find g(-9)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
4x-2
Step-by-step explanation:
4x(3x+5)-2(3x+5)
(4x-2)(3x+5)
you can see that 4x-2 is a factor
Using the binomial distribution, the probability that at least flights are on time is?
the probability that at least flights are on time is
P(7) + P(8) + P(9) + P(10)
To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.
Let's assume we have the following information:
Probability of a flight being on time: p = 0.8 (80%)
Number of flights: n = 10
To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.
Let's say we want to find the probability of at least 7 flights being on time.
P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)
Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)
where C(n, x) represents the number of combinations of n items taken x at a time.
Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)
Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.
P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)
Performing the calculations will give us the specific probabilities and the final probability.
Complete Question :- According to an airline, flights on a certain route are on time 75% of the time. Suppose 24 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 14 flights are on time.
(c) Find and interpret the probability that fewer than 14 flights are on time.
(d) Find and interpret the probability that at least 14 flights are on time.
(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.
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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the followinWhat percentage of people has an IQ score greater than 120?
Answer:
Percentage of people with IQ greater than 120 is 84.134%
Step-by-step explanation:
First thing we do here is to calculate the
z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 120, mean = 100 while SD = standard deviation = 20
z-score = (120-100)/20 = 20/20 = 1
The probability we want to calculate is;
P(x > 120) or P(z >1)
we proceed to use the standard score table to get this;
From the standard score table ;
P(z >1) = 0.84134
which is in percentage = 84.134%
A dangling modifier
defines a noun or verb somewhere in a sentence
does not clearly describe a word or phrase in a sentence
enhances a target word or phrase in a sentence
is a phrase loosely attached to the end of a sentence
Answer:
does not clearly describe a word or phrase in a sentence
Step-by-step explanation:
Not sure that this is math but...
Answer:
The answer is B
Step-by-step explanation:
B) does not clearly describe a word or phrase in a sentence
How many 7 digit phone numbers are possible if the first digit must be non-zero? write your answer in scientific notation.
If the first number is not allowed to be "0", we will have that the aviable numbers will be:
\(1,2,3,4,5,6,7,8,9\)So, we will have 9 posibilites, now:
First, we will have that the biggest number of 7 digits that we will be able to write will be 9 999 999 and the smallest is 1 000 000.
Now, we will have that the total number of aviable values is:
\(9999999-1000000=8999999\)Then, the total number of possible is:
\(8.999999\cdot10^6\)the probability of snow for each of the next three days is $\frac{2}{3}$. what is the probability that it will snow at least once during those three days? express your answer as a common fraction.
Answer: 3/4 *3/4 *3/4 = 27/64 this is the proabability that is DOES snow every day. 1-27/64 = 37/64 this is the proabability that is DOES NOT snow EVERY day. 1/(4^3) = 1/64 IS the probability that is does not snow AT ALL for the 3 days.
Step-by-step explanation:
Use the net to calculate the surface area of
the polyhedron.
The total area of given polyhedron is 68.75 sq. units
The given polyhedron is made up of 1 square, 2 triangles, and 2 rectangles.
Firstly. the dimensions of triangle are -
base = 2.5 units,
height = 3.5 units
area of the triangle = 1/2 × B × H
= 1/2 × 2.5 × 3.5
= 4.375 sq. units
The area of 2 triangles will be - 2 (area of 1 triangle)
⇒ 2× 4.375
= 8.75 sq. units
Area of Rectangle 1 = L × B
Length = 5 units
Breadth = 3 units
Area = 5×3 = 15 sq. units
Area of Rectangle 2 = L × B
Length = 5 units
Breadth = 4 units
Area = 20 sq. units
Area of square = Side²
⇒ 5 × 5
= 25 sq. units
Total area of polyhedron = Area of 2 triangles + Area of 2 Rectangles + Area of square
⇒ 8.75 + 15 + 20 + 25
= 68.75 sq. units
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26
1 point
N
Rose is filling her swimming pool with water. She needs to pump 2000 gallons into the pool, and the water flows at a rate of r gallons
per hour. Which of the following expresses the amount of time it will take to fill the pool?
2000
2000
T
2000 + T
2000r
T = 2000/r expresses the amount of time it will take to fill the pool.
What is Rate of Gallons?The volume of liquid that can be poured, dispensed, or eaten in an hour is measured in gallons per hour.
It gauges how quickly a liquid may travel from one location to another. The flow rate of liquids in pipes, tanks, and other vessels can be determined using the rate of r gallons per hour.
The flow rate of liquids through pumps and other mechanical devices can also be measured using this technique.
You may calculate the amount of liquid utilized or consumed in an hour using the rate of r gallons per hour.
This can be useful for estimating how much water will be consumed over a certain length of time.
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