Answer:
Set your calculator to degree mode.
sin(B) = 12/13, so B = sin^-1 (12/13) = 67.4°.
Use a table with values x = {−4, −2, 0, 2, 4} to graph the quadratic function.
The graph of the quadratic function y = (1/2)*x^2 is on the image at the end.
How to graph the quadratic function?We want to graph the quadratic function:
y = (1/2)*x^2
To do so, we need to evaluate it in the values x = {−4, −2, 0, 2, 4} to find some points.
if x = -4
y = (1/2)*(-4)^2 = 8
if x = -2
y = (1/2)*(-2)^2 = 2
if x = 0
y = (1/2)*0^2 = 0
if x = 2
y = (1/2)*(2)^2 = 2
if x = 4
y = (1/2)*(4)^2 = 8
So we have the points (-4, 8), (-2, 2), (0, 0), (2, 2), (4, 8).
Now just graph these points and connect them with a parabola, the graph of the quadratic equation is on the image below.
Learn more about quadratic equations at
https://brainly.com/question/1214333
#SPJ1
which graphs could represent a proportional relationship?
Answer:
for each point on the graph z is equal to k where is the unit rate
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
Learn more about trigonometric identities at: https://brainly.com/question/7331447
#SPJ1
Which equations have no real solution but have two complex solutions?
1. 3x^2-5x=8
2. 12x=9x^2+4
3. 2x^2=6x-5
4. -x^2-10x+34
there is not only one answer...
Answer:
Here you go - IM NOT 100% SURE THESE ARE RIGHT
Step-by-step explanation:
1. 2 complex solutions
2. 1 complex solution
3. 1 complex solution
4. no complex solutions
how many terms of the series do we need to add in order to find the sum to the indicated accuracy? (your answer must be the smallest possible integer.) \sum {n
To find the smallest number of terms needed to obtain the sum of the given series with an error less than 0.0003, we need to use the alternating series test and the remainder formula. Using these, we find that we need to add at least 44 terms.
We can use the alternating series test to show that the series is convergent. The terms of the series decrease in absolute value and alternate in sign, which are the two conditions for the alternating series test. Therefore, the series converges to some value S.
The remainder formula tells us that the error E_n in approximating the sum of an alternating series with the nth partial sum is bounded by the absolute value of the (n+1)th term. In other words,
|S-S_n| < |a_{n+1}|,
where S_n is the nth partial sum and a_{n+1} is the (n+1)th term of the series.
We want to find the smallest number integer n such that |a_{n+1}| < 0.0003. Since the terms of the series decrease in absolute value, we can use the inequality
|a_{n+1}| < \frac{9}{(n+1)^4}.
Setting this less than 0.0003 and solving for n, we get n > 43.6. Therefore, we need to add at least 44 terms to obtain the sum of the series with an error less than 0.0003.
Complete Question:
How many terms of the series do we need to add in order to find the sum to the indicated accuracy? (Your answer must be the smallest possible integer.)
\sum_{n=1}^\infty(-1)^{n-1}\frac{9}{ n^4 },\quad |\text{error}|< 0.0003
Learn more about smallest number:
brainly.com/question/1079635
#SPJ11
G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).
For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Learn more about Average Total Cost
brainly.com/question/29306232
#SPJ11
Liam made a deposit of $31,050 into an account with a rate of 20%. How long should he leave the money into the account if he wants to earn $93,150 in interest?
Answer 15 years
Step-by-step explanation: 93,150/31,050=3
if you want the number to be multiplied by three you need it to increase by 300%.
300/20=15
31050x(20%x15)=93,150
NEED HELP ASAP!!! 16 points !!!
Answer:
will it be b
Step-by-step explanation:
Linear equations- please help me
−5(5x+3)−5x+1=−44
How many solutions does y 2x 5 and 8x 4y =- 20 have?
A system of linear equations: y + 2x = -5 and 8x + 4y = -20 has infinitely many solutions.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
The given linear system is:
y + 2x = -5 ....... (equation 1)
8x + 4y = -20 ..........(equation 2)
Rearrange equation 1 to:
2x + y = -5
Multiply both sides by 4:
8x + y4 = -20
Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.
Learn more about linear system here:
https://brainly.com/question/3654260
#SPJ4
Monica’s number is shown below. In Monica’s number, how many times greater is the value of the 6 in the ten-thousands place than the value of the 6 in the tens place?
The value of the 6 in the ten-thousands place is 10,000 times greater than the value of the 6 in the tens place.
What is a place value?In Mathematics and Geometry, a place value is a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Ten thousands.6 in the ten-thousands = 60,000
6 in the tens place = 60
Value = 60,000/60
Value = 10,000.
Read more on place value here: brainly.com/question/569339
#SPJ1
Assignment: Instantaneous Rate of Change and Tangent Lines Score: 60/130 6/13 answered Progress saved Done 日酒 Question 8 Y < > 0/10 pts 295 Details Find the average rate of change of f(x) = 42² -8 on the interval [1, t]. Your answer will be an expression involving t Question Help: Video Post to forum Submit Question Jump to Answer
To find the average rate of change of the function f(x) = 42x² - 8 on the interval [1, t], we can use the formula for average rate of change: Average rate of change = (f(t) - f(1)) / (t - 1).
Substituting the function f(x) = 42x² - 8 into the formula, we have: Average rate of change = (42t² - 8 - (42(1)² - 8)) / (t - 1). Simplifying the expression, we get: Average rate of change = (42t² - 8 - 34) / (t - 1). Combining like terms, we have: Average rate of change = (42t² - 42) / (t - 1).
So, the expression for the average rate of change of f(x) = 42x² - 8 on the interval [1, t] is (42t² - 42) / (t - 1).
To learn more about function click here: brainly.com/question/22847740
#SPJ11
risk analysisc q
What are the consequences of not having a MECE set of alternatives in any risk assessment context? Explain.
Not having a MECE (Mutually Exclusive, Collectively Exhaustive) set of alternatives in any risk assessment context can have significant consequences.
A MECE set of alternatives refers to a set of options or choices that are distinct from each other and collectively cover all possible outcomes or scenarios. When such a set is not present, it can lead to several negative outcomes.
Firstly, without a MECE set of alternatives, important risks may be overlooked or not adequately addressed. This can leave gaps in risk mitigation strategies, leaving organizations exposed to potential threats and vulnerabilities.
Secondly, it can lead to ambiguity and confusion in decision-making. Without clear and distinct alternatives, it becomes challenging to evaluate and compare different risk mitigation approaches, hindering effective decision-making and potentially resulting in suboptimal or inadequate risk management actions.
Additionally, the absence of a MECE set of alternatives can hinder transparency and accountability in risk assessment processes. It becomes difficult to justify decisions and communicate the rationale behind risk management choices when there is a lack of well-defined options to choose from.
In summary, not having a MECE set of alternatives in risk assessment can result in overlooked risks, impaired decision-making, and reduced transparency. It is essential to ensure that risk assessments consider and present a comprehensive and distinct set of alternatives to effectively manage and mitigate risks.
To learn more about MECE (Mutually Exclusive, Collectively Exhaustive) click here: brainly.com/question/32142170
#SPJ11
Sarah can wrap 44 presents in 4 hours. How many present can she wrap in 7 hours.
Answer:
77
Step-by-step explanation:
44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours
Answer:
77
Step-by-step explanation:
First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.
The average height of women in the United states Is 65.5 Inches with a standard deviation of 2.5. Find the probability that a woman randomly selected will be 60 inches or less.
The probability that a randomly selected woman will be 60 inches or less is approximately 0.0139, or 1.39%.
To find the probability that a randomly selected woman will be 60 inches or less, we need to calculate the area under the normal distribution curve up to the value of 60 inches. We can do this by standardizing the value using the z-score formula and then looking up the corresponding probability from a standard normal distribution table or using a calculator.
First, we calculate the z-score:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
z = (60 - 65.5) / 2.5 = -2.2
Next, we find the probability associated with the z-score using the standard normal distribution table or calculator. From the table or calculator, we find that the probability of having a z-score less than -2.2 is approximately 0.0139.
For such more questions on Probability:
https://brainly.com/question/24756209
#SPJ11
a sample of 90 adult randolph county residents showed that 59 own a home. what is the risk of owning a home?
The risk of owning a home in Randolph County based on the given sample can be calculated as:
Risk of owning a home = Number of residents who own a home / Total number of residents in the sample
Risk of owning a home = 59 / 90
Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.
A person flying a kite has released 176 m of string. The string makes an angle of 27° with the
ground. How high is the kite? Round to the nearest meter.
157 meters
391 meters
80 meters
198 meters
Answer:
80 m high and 157 m away
hope this helped
A number n plus 4.1 is less than or equal to 7 . Write this word sentence as an inequality.
Answer:
The word sentence you are looking for is:
n + 4.1 ≤ 7
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Find SP where MP=Rs875 and discount =Rs75
Answer:
SP is Rs 800.
Step-by-step explanation:
MP = Rs 875
Discount = Rs 75
so
SP = MP - discount
= Rs 875 - Rs 75
= Rs 800
A recipe for peach cobbler requires 10 peaches for each cobbler.
Sarah has 38 peaches. Which expressions shows at most the
number of cobblers Sarah can make?
Answer:
3
Step-by-step explanation:
38 / 10 = 3.8 so that means you only have 3 whole numbers
50,000 in scientific notation would be _____. 5 × 10^5 0.05 × 10^6 5 5 × 10^4 50,000
Answer:
Just count the number of zeros:
Step-by-step explanation:
There are 4 zeros, so the answer is 5 x 10^4.
Answer:
5 * 10^4
Step-by-step explanation:
In scientific notation, the amount an exponent has indicates how many zeroes are there.
Since we see four zeroes in the number 50,000
The only equation that would fit is of course 5 * 10^4
George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?
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
```
Learn more about subset:
brainly.com/question/24138395
#SPJ11
Any first order equation can be solved using "integrating factors to exact" technique. True False
The statement "Any first-order equation can be solved using the 'integrating factors to exact' technique" is false. The integrating factors method is used to solve first-order linear ordinary differential equations.
The integrating factors method is a powerful technique used to solve first-order linear ordinary differential equations of the form dy/dx + P(x)y = Q(x). It involves finding a suitable integrating factor, which is a function of x, that allows the equation to be rewritten in exact differential form and then solved using integration. This method is particularly effective for linear equations with variable coefficients.
However, not all first-order equations can be solved using the integrating factors technique. There are various types of first-order equations that require different methods for their solution. Examples include separable differential equations, exact differential equations, homogeneous differential equations, and Bernoulli differential equations, among others. Each type of equation may require a specific approach or transformation to solve.
Therefore, it is incorrect to claim that any first-order equation can be solved using the integrating factors to exact technique. The choice of method depends on the specific form and characteristics of the equation, and different techniques are employed accordingly.
Learn more about differential equations here:
https://brainly.com/question/31492438
#SPJ11
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
There were 80 runners to start a race. In the first half of the race, 2/5 of them dropped out. In the second half of the race, 5/8 of the remaining runners dropped out. How many runners finished the race?
The number of people who finished the race is 18.
How to calculate the value?In the first half of the race, 2/5 of them dropped out. The remaining will be:
= 1 - 2/5 = 3/5
In the second half of the race, 5/8 of the remaining runners dropped out. This will be:
= 5/8 × 3/5
= 3/8
Therefore, this that finished the race will be:
= 80 - [(2/5 + 3/8) × 80]
= 80 - (31/40 × 80)
= 80 - 62
= 18
The concept of fractions was used
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
How much did the bicycle cost?
Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.
What is an equation?
An equation is written in the form of variables and constants separated by the operation of multiplication and division.
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
According to the given question:
Hugo decided to pay $2 a week to his brother to buy a bicycle.
The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
To pay back to the brother he must owe no money which is y = 0.
∴ The weeks needed is,
0 - 10 = -2(x - 10).
- 10 = -2x + 20.
2x = 30.
x = 15.
He needs 15 weeks to pay back completely.
To learn more about equations here :
brainly.com/question/10413253
#SPJ1
4. [6 points] Find the final coordinates P" of a 2-D point P(3,-5), when first it is rotated 30° about the origin. Then translated by translation distances t = -4 and t, 6. Use composite transformation. Solve step by step, show all the steps. A p" = M.P M T.R 10 te 0 1 h 001 cos(e) -sin(e) 0 sin(8) cos(0) 0 ;] 0 0 1 T = R =
The final coordinates P" are (3√3/2 - 3, 5√3/2 + 21/2).
P(3,-5) is rotated by 30°, and then translated by translation distances t = -4 and t, 6.
The composite transformation matrix is:
AP" = M.P.M T.R
M = cos(θ) -sin(θ) 0
sin(θ) cos(θ) 0
0 0 1
θ = 30°,
M = cos(30°) -sin(30°) 0
sin(30°) cos(30°) 0
0 0 1
M = √3/2 -1/2 0
1/2 √3/2 0
0 0 1
T = translation matrix
T = 1 0 t
0 1 t
0 0 1
t1 = -4, t2 = 6,
T = 1 0 -4
0 1 6
0 0 1
R = Reflection matrix
R = -1 0 0
0 -1 0
0 0 1
AP" = M.P.M T.R
= √3/2 -1/2 0 . 3
1/2 √3/2 0 . -5
0 0 1 . 1
= [√3/2*3 + (-1/2)*(-5), 1/2*3 + √3/2*(-5), 1]
= [3√3/2 + 5/2, -(5√3/2 - 3/2), 1]
Now, it is translated by t1 = -4, t2 = 6
AP" = T . AP"
= 1 0 -4 . [3√3/2 + 5/2, -(5√3/2 - 3/2), 1]
0 1 6 [3√3/2 + 5/2, -(5√3/2 - 3/2), 1]
0 0 1
= [1*(3√3/2 + 5/2) + 0*(-5√3/2 + 3/2) - 4, 0*(3√3/2 + 5/2) + 1*(-5√3/2 + 3/2) + 6, 1]
= [3√3/2 - 3, 5√3/2 + 21/2, 1]
Hence, the final coordinates P" are (3√3/2 - 3, 5√3/2 + 21/2).
Know more about coordinates here:
https://brainly.com/question/17206319
#SPJ11
Which is greater. -7/12 or -5/9
Answer:
Damian here! (ノ◕ヮ◕)ノ*:・゚✧
Step-by-step explanation:
-5/9 is the answer
-5/9 > -7/12
Hope this helps? :))
Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest rate. How much will she have paid in interest after 8 months?
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200