m∠A=5x° . m∠B=(3x−4)° m∠C=90° What is the value of x?
Answers
Answer:
6
Step-by-step explanation:
Answer:
11.75
Step-by-step explanation:
the angles of a triangle should add to 180
5x + 3x - 4 +90 = 180
now solve for x
8x = 94
94/8 = 11.75
Related Questions
f(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2
Compute the following:
f(g(x)
Answers
Answer:
f(g(x))=9-x-\(x^{2}\)
Step-by-step explanation:
Given ,
f(x)=9-x
g(x)=\(x^{2}\) +x
here,.
fog
=f(g(x))
=f(\(x^{2}\) +x)
=9-(\(x^{2}\) +x)
=9-\(x^{2}\) -x
=9-x-\(x^{2}\)
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
Answers
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
Learn more about Standard Deviation here:
https://brainly.in/question/50665860
#SPJ11
A sinusoidal driving force is applied so that the forcing function is now f(t)=Fc​sin(100t/Ï„), where τ is the time constant that you calculated in (a). What is the amplitude of v(t) at steady-state? Choose the best answer. Note that K refers to the system gain that you calculated in (b). Briefly explain how you arrived at your answer. a. Amplitude =KFc​ b. Amplitude >KFc​ c. AmplitudeÂ
Answers
The amplitude of v(t) at steady-state is (a) Amplitude = KFc. This is because the amplitude of the response in a linear system is proportional to the amplitude of the forcing function, and the constant of proportionality is the system gain, K.
In this case, the forcing function has an amplitude of Fc, and the system gain is K, so the amplitude of the response at steady-state is K times Fc, or KFc. The amplitude of v(t) at steady-state can be found by considering the relationship between the system gain (K) and the forcing function f(t). Given the forcing function f(t) = Fc * sin(100t/τ), we can determine the steady-state response by taking the amplitude of the sinusoidal forcing function and multiplying it by the system gain K. Hence, the amplitude of v(t) at steady-state is: Amplitude = K * Fc Therefore, the best answer is: a. Amplitude = KFc.
Learn more about sinusoidal forcing function here: brainly.com/question/12060967
#SPJ11
Write an equation or inequality for the word sentence.
Twice a number is equal to the product when the sum of the number and four is multiplied by eight.
Answers
Answer:
2X = (X+4)x8
Step-by-step explanation:
Let X = your number
per the problem twice the number (2X) is equal to the product of the sum of the number and four (x+4) and 8. Take all those parts and write the equation.
2X = (X+4) x 8
Which of the following is not a solution to sin x − cos 2x = 0 on the interval [0, 2π)? A. pi over 6
B. pi over 2
C. 5 times pi over 6
C. 3 times pi over 2
Answers
None of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).
What is solution of a trigonometric equation ?The solution of any trigonometric equation represents the value of the parameter which satisfies the given equation. The solution should lie within a given range and it should have the same value as ±π .
To find the solutions to sin x − cos 2x = 0 on the interval [0, 2π), we can start by using the identity cos 2x = 1 - 2sin² x, which gives:
sin x - (1 - 2sin² x) = 0
Simplifying this equation, we get:
2sin² x - sin x + 1 = 0
We can solve this quadratic equation using the quadratic formula:
sin x = [1 ± √(1 - 8)] / 4
sin x = [1 ± √(-7)] / 4
Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, none of the given options (A, B, C, or D) is a solution to sin x − cos 2x = 0 on the interval [0, 2π).
Learn more about trigonometric functions on:
https://brainly.com/question/25618616
#SPJ1
The variables a and b vary directly. Use the given values for a and b to write an equation relating a and b
a=3; b=15
Answers
Answer:
a = 1/5 b
Step-by-step explanation:
A direct variation is given by
a = k*b where k is the constant of variation
3 = k* 15
Divide each side by 15
3/15 = k*15/15
1/5 = k
a = 1/5 b
Answer:
a = 1/5 b
Step-by-step explanation:
There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is ž, yellow is
10, and the probability of getting red is to what is the probability of getting pink?
Answers
Answer:6
Step-by-step explanation:
the answer will be 6 because is in between 10.
What is the value of the 4 in the number 546210?
Give your answer in words
Answers
Answer:
Ten ThousandsThank you ☺️☺️
Find the least common multiple 18, 9
Answers
Answer:
The common multiple is 18
Step-by-step explanation:
Because 9*2=18 and 18*1=18
Answer:
Simply 18.
Step-by-step explanation:
18 = 2*9
What is 1/4a =3 please help
Answers
Answer:
a=12
Step-by-step explanation:
1/4*12=12/4
12/4=3
PLEASE HELP??!!
What is the end behavior of the function f(z)
2c2
1?
O As approaches infinity, f(r) approaches negative infinity. As I approaches
negative infinity, f(x) approaches infinity.
O As I approaches infinity, f(x) approaches infinity. As approaches negative
infinity, f(x) approaches negative infinity.
As I approaches infinity, f(x) approaches negative infinity. As I approaches
negative infinity, f(x) approaches negative infinity.
As I
approaches infinity. f(a) approaches infinity. As 2 approaches negative infinity, f(x) approaches infinity.
Answers
Answer:
d
Step-by-step explanation:
Consider the graphs of f(x) and g(x) below:For each interval given below, calculate the average rate of change of f(x) or g(x) and compare the results.i. [0, 4]ii. [0, 8]iii. [0, 2.2]iv. [5.2, 6.1]v. [5.2, 6.9]
Answers
Answer:
\(\begin{gathered} 1)\text{ Rf(x)=0 Rg(x)=0.5} \\ 2.\text{ Rf(x)=0 Rg(X)=0.5} \\ 3)\text{ Rf(x)=1.32 Rg(x)=0.5} \\ 4)\text{ Rf(x)=2.22 Rg(x)=0.5} \\ 5)\text{ Rf(x)=0 Rg(x)=0.5} \end{gathered}\)Step-by-step explanation:
To determine the average rate of change of an interval [a,b], we must use the following equation:
\(\frac{f(b)-f(a)}{b-a}\)Therefore, for the interval [0,4]:
\(ratef(x)=\frac{0-0}{4-0}=0\)For g(x) we need to find the equation of the line by the slope-point form:
\(\begin{gathered} y-y_0=m(x-x_0) \\ y-2.9=(\frac{4.9-2.9}{6.1-2.2})(x-2.2) \\ y-2.9=\frac{20}{39}(x-2.2) \\ y=\frac{20}{39}x-\frac{44}{39}+2.9 \\ y=\frac{20}{39}x+\frac{691}{390} \end{gathered}\)To find the value to x=4, substitute it into the equation:
\(\begin{gathered} y=\frac{20}{39}(4)+\frac{691}{390} \\ y=3.82 \\ \text{ Rate of change:} \\ \text{ Rate g(x)=}\frac{3.8-1.77}{4-0}=0.5 \end{gathered}\)Now, for [0,8]:
\(\begin{gathered} Rf(x)=\frac{0-0}{8-0}=0 \\ Rg(x)=\frac{5.87-1.77}{8-0}=0.5 \end{gathered}\)[0,2.2]:
Since g(x) is a linear function, it will have a constant rate of change 0.5.
f(x):
\(Rf(x)=\frac{2.9-0}{2.2-0}=1.32\)[5.2, 6.1]:
\(\begin{gathered} Rf(x)=\frac{4.9-2.9}{6.1-5.2}=2.22 \\ Rg(x)=0.5 \end{gathered}\)[5.2,6.9]:
\(\begin{gathered} Rf(x)=\frac{2.9-2.9}{6.9-5.2}=0 \\ Rg(x)=0.5 \end{gathered}\)please help me solve and you'll get a brainlist
Identify the x and y-intercepts of the graph for the given equation in slope intercept form:
y=4x+1
Question 4 options:
x-intercept: (0, 4)
y-intercept: (1, 0)
x-intercept: (0, 1)
y-intercept: (−14, 0)
x-intercept: (1, 0)
y-intercept: (0, 4)
x-intercept: (−14, 0)
y-intercept: (0, 1)
Answers
Let y=0
0=4x+1
4x=-1
x=-1/4
Let x=0
Y=4*0+1
Y=0+1
Y=1
Therefore, the ordered pair is (-1/4, 1)
If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075
Answers
The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m
where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925
And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075
Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.
This is option D.
To know more about generation Visit:
https://brainly.com/question/12841996
#SPJ11
1. the very first step in verifying a statement about a product is represented by the c in claim. what does the letter c stand for?
Answers
Note that the very first step in verifying a statement about a product is represented by the acronym C.L.A.I.M. The first letter "C" stands for Claim.
What do the other letters stand for?L - Logic: Examining the logic of the claim to see if it is reasonable and if the evidence offered supports the assertion.
A - Attribution: Identifying the source of the assertion and assessing its reliability.
I - Investigation: Research and evidence collecting to support or reject the allegation.
M - Measurement: Evaluating the quality and quantity of evidence obtained and assessing whether or not it supports the claim being made.
Following the CLAIM technique allows one to assess the correctness and validity of a claim and make an educated judgment about the product or service in issue.
Learn more about Verification:
https://brainly.com/question/13262391
#SPJ1
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now?
Answers
Answer:
Step-by-step explanation:
24.5 ft
DF=28
AB=4
BF= square root 35^2-28^2
BF= 21
EF= square root 35^2-25^2
EF= 24.5
ANSWER= 24.5
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $125,000. Use $106,800 for maximum taxable earnings. (Soc Sec 6.2%, taxed up to $106,800 and Medicare 1.45%).
a. Social Security tax: $77,500.00, Medicare tax: $18,125.00 b. Social Security tax: $7,750.00, Medicare tax: $1,812.50 c. Social Security tax: $66,216.00, Medicare tax: $18,125.00 d. Social Security tax: $6,621.60, Medicare tax: $1,812.50
Answers
The calculated Social Security tax is $ 6621.60 on the maximum taxable earning, that is $106800 on the rate of 6.2% and Medicare tax is $1812.50 on the annual salary, that is $125,000 on the rate of 1.45%.
Hence option d is the correct option.
The annual salary of an individual is given as $125,000.
Medicare tax is levied on the annual salary of an individual, that is on $125,000. It is given as 1.45 % on $125,000.
The maximum taxable earnings is $106,800 and Social Security tax is levied on this $106,800. It is given as 6.2% on $106,800.
Thus, applying basic rule of percentage calculation we get,
Earnings from Social Security tax = $(6.2% of 106800)
= ${(62/100*10)(106800)
= $ 6621.60
Earnings from Medicare tax = $(1.45% of 125000)
= $(145/100*100)(125000)}
= $1812.50
Hence option d Social Security tax: $6,621.60, Medicare tax: $1,812.50 is the correct option.
To know more about percentage calculation here
https://brainly.com/question/29541337
#SPJ4
Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
Answers
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
For similar questions on Equivalent
https://brainly.com/question/2972832
#SPJ11
A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
Answers
X = 100$ + 5a$
Where X is the price of a car rent
And a is the amount of mile travel
Alonso brings $21 to the market to buy eggs and avocados. he gets eggs that cost $2.50. then, he notices that
the store only sells avocados in bags of 3 for $5. he wants to buy as many avocados as he can with his
remaining money.
let b represent the number of bags of avocados that alonso buys.
1) which inequality describes this scenario?
choose 1 answer:
2.50 + 5b < 21
b
2.50 +5b > 21
2.50 + 3b < 21
2.50 + 3b > 21
j
Answers
Answer:
£2.50+5b>21
Step-by-step explanation:
this is because a bag is b and they cost £5 so therefore it's 5b then they have to be under 21 pounds so you use the less than symbol.
Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
Answers
plz help me or dont lol
Answers
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
2x-8=10
A. 5
B. 2
C. 9
D. 1
Answers
2×9= 18
18 - 8=10
C. 9 is the final answer
Answer: C. 9 is the answer Step-by-step explanation:
how to subtract 5/8 from 1 7/8
Answers
Answer:
7/8 - 5/8 = 2/8. Therefore the answer is 1 2/8.
Step-by-step explanation:
Answer: 1 2/8
Step-by-step explanation:
you take away 5 from seven so it becomes 2 then you put the 8 under and you still keep the one there
A bank charge a 10$ fee to open an account. Which are the following equation bet repreent the total amount in account,m, when tarting with d, in dollar
Answers
The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.
Although the question does not specify the options, but I have specified my answer as follows:
Given:
The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.
Account Opening Charges: $10
Starting amount: $d
The total amount in the account: $m
Let us say the depositor deposits an amount $k for 'i' number of months
Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.
I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.
The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time
⇒m=d-10+k×i
This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.
Therefore, the following equation is m=d-10+k×i.
For more such questions on Amount on banks
https://brainly.com/question/15866207
#SPJ4
(ANOVA) True or false: If we assume a 95% confidence level, there is a significant difference in performance generally across all groups. Bookmark question for later (t-test) True or false: There is a significant difference in performance between the two highest-performing groups. Bookmark question for later (t-test) True or false: There is a significant difference in performance between the two lowest-performing groups.
Answers
The answer should be: False, True, True.
ANOVA is an acronym for Analysis of Variance, which is a statistical method used to determine whether there is a significant difference between the means of three or more groups. In this context, if we assume a 95% confidence level, we can say that there is a significant difference in performance generally across all groups if the p-value is less than 0.05.
If the p-value is greater than 0.05, we cannot reject the null hypothesis, which states that there is no significant difference between the means of the groups. Therefore, the statement is false because we cannot determine whether there is a significant difference in performance across all groups based on the given information.
The t-test is a statistical method used to determine whether there is a significant difference between the means of two groups. In this context, if there is a significant difference in performance between the two highest-performing groups, the p-value would be less than 0.05, which indicates that we can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups. Therefore, the statement is true.
Similarly, if there is a significant difference in performance between the two lowest-performing groups, the p-value would be less than 0.05, which indicates that we can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups. Therefore, the statement is also true.
In summary, we cannot determine whether there is a significant difference in performance generally across all groups based on the given information. However, there is a significant difference in performance between the two highest-performing groups, and there is a significant difference in performance between the two lowest-performing groups. The answer should be: False, True, True.
Learn more about Analysis of Variance here,
https://brainly.com/question/32624825
#SPJ11
Simplify cubed 5 -10/27
Answers
The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = \(({5 -\dfrac{10}{27}})^3\)
E = \((\dfrac{135-10}{27})^3\)
E =\(\dfrac{125}{27}^3\)
E = 99.22
Therefore the correct answer for the given expression is 99.22.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
8 times 10^5 + 5 times 10^4 = ? In scientific notation
Answers
Answer:
It's 8.5*10^5
Step-by-step explanation:
Will give Brainliest, like, comment, 5 stars, and 5 points to best answer
Write an equation for converting the number of meters to kilometers. Use X for number of meters and Y for numbers of Kilometers.
Y= ?
Answers
Y= X/1000
Hope it works! Good luck!
if answered quick AND CORRECT. you will be given brainliest
Answers
Answer: $1,312.5 difference
Step-by-step explanation:
1050 x 1.5 = 1575
1575 x 1.5 = 2,362.5
2,362.5 - 1050 = 1,312.5