Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points
Answers
Answer:
f1: 0.440, f2: 0.931, f3: 1.519
Step-by-step explanation:
To solve the system of equations we need to use the inverse of matrix A, as follows:
A x F = C
A^-1 x A x F = A^-1 x C
I x F = A^-1 x C
where I is the identity matrix.
The inverse of A is:
1.450 -0.392 -0.090
A^-1 = -0.074 -0.022 0.1536
-0.406 0.7122 -0.060
(computed with Excel)
The multiplication between the inverse of A and C gives:
0.440
A^-1 x C = 0.931
1.519
(computed with Excel)
Answer:
1f = .441
f2 = .931
f3 = 1.520
Step-by-step explanation:
did it on edge 2020
Related Questions
The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?
A. -0.5
B. 6
C. 0.25
D. -2
Answers
Answer:
Option C.
Step-by-step explanation:
The given functions are
[tex]f(x)=ax^2[/tex]
[tex]g(x)=x^2[/tex]
It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].
Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.
Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].
From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.
Therefore, the correct option is C.
Following are the solution to the graph function:
Given:
Graph function:
[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]
Solution:
It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex] has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.Therefore, the final answer is "Option C".
Learn more about the graph:
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Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.
48π ft2
60π ft2
96π ft2
Answers
Answer:
60π ft2
Step-by-step explanation:
The formula for the lateral surface area of a cone is: πr [tex]\sqrt{h^{2} + r^{2} }[/tex]. You substitute the h for the height and r for the radius and tada! 60π ft2!
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
Answers
Answer:
3 gallons
Step-by-step explanation:
So just multiply by 9.
You get 3.
Answer:
3 gallons
Step-by-step explanation:
divide 1 / 3 by 1/9
=) 1/3 ÷ 1/9
=)1/3 × 9/1
=)9/3
=)3
therefour your answer is 3 gallons
The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line
Answers
Answer:
Step-by-step explanation:
y - 4 = 1/4(x - 8)
y -4 = 1/4x - 2
y = 1/4x + 2
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
O B. 210
O C. 3,060
O D. 5,040
Answers
Answer:
C
Step-by-step explanation:
find the slope of the line that passses thruogh 1,5 and 10,9
Answers
The answer is 4/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Integers and polynomials are both _[blank 1]_ under addition, subtraction, and multiplication; however, operations on polynomials _[blank 2]_ while operations on integers _[blank 3]_.
Answers
Answer:
Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .
Step-by-step explanation:
Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.
Operations on polynomials can sometimes be open, like in division.
Operations on integers can produce irrational results , for example, dividing 11 by 9.
Can someone help me?? Please
Answers
Answer:
3 lunches
Step-by-step explanation:
According to the table, during which interval did the
average time spent on hold increase?
week 1 to week 3
week 1 to week 4
week 4 to week 6
week 3 to week 5
Answers
Answer:
C
Step-by-step explanation:
Got it correct, Edge2020.
Answer:
c. week 4 to week 6
Step-by-step explanation:
got it right on my test
Conner has $25,000 in his bank account. Every month he spends
$1,500. He does not add money to the account. Which equation could
be used to figure out when Conner will run out of money?
Answers
Answer: The answer is the last variant.[tex]\boxed{\boxed{25000-1500*x=0}} \\\\\\ \b{For x=16 months} \ \ \ \to \to \to \ \ \ 25000-1500*16= 25000-24000 = \boxed { 1000 < 1500}[/tex]
Step-by-step explanation:
Solve using function notation please help
Answers
Answer:
x^2+5x+5
Step-by-step explanation:
Answer:
f(x)+g(x) = x^2 + 5x+5
Step-by-step explanation:
f(x) = 4x+5
g(x) = x^2 +x
f(x)+g(x) = 4x+5+ x^2 +x
Combine like terms
f(x)+g(x) = x^2 + 5x+5
4 people can paint a house in 6 hours
a)how long will it take 1 person to paint a house
b)how long will it take for 3 people to paint a house
Answers
Answer:
24
8
Step-by-step explanation:
It will take 8 hours for 3 people to paint the house and 24 hrs for 1 person to paint the same house
Ratio and proportionFractions are ratio of two integers
If 4 people can paint a house in 6 hours, the time it will take 1 person is expressed as:
Time it will take 1 person = 6(4) =24 hours
Since the number of people is proportional to time:
p = k/t
3 = 24/t
t = 24/3
t = 8hrs
Hence it will take 8 hours for 3 people to paint the house
Learn more on ratio here: https://brainly.com/question/2914376
If x = -2, then x2-7x+10 equals
00
O 20
028
Answers
(-2)2-7(-2)+10=
=20
Answer:
28
Step-by-step explanation:
x^2-7x+10
Substitute x = -2
(-2)^2 -7(-2) +10
Exponents and multiplication
4 +14+10
Add
28
Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using the values in the table, which conclusion can be made? According to the tables, f(x) does not have a y-intercept. According to the tables, f–1(x) does not have an x-intercept. The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0. The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Answers
Answer:
D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
The missing tables are:
First table
x: 0 1 2
f(x): 1 10 100
Second table
x: 1000 100 10
f^-1(x): 3 2 1
Option A is not correct because f(x) has a y-intercept at (0, 1)
If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct
Option C is not correct because the domain of f^-1(x) is associated with x values.
Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa
Answer: D
The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
Step-by-step explanation:
Positive numbers have negative square roots.
O A. True
B. False
Answers
Answer:
false
Step-by-step explanation:
Answer: A. True because multiplying a negative number by a negative number gives you positive.
Step-by-step explanation:
PLS HELP it is urgent and my homework due soon
Answers
Answer:
a) (1 , 4)
b) (-1 , 0) and (3 , 0)
Step-by-step explanation:
The turning point also call the vertex of the function is shown by in this case the maximum which is at the point (1 , 4). The roots, also known as zeros, are the values at which the graph crosses the x-axis. In this case it is at points: (-1 , 0) and (3 , 0)
Which is a possible turning point for the continuous
function f(x)?
HELP ASAP
Answers
Answer: B. (-2, -1)
Step-by-step explanation:
(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.
Answer:
b
Step-by-step explanation:
Subtract negative 24 from 11.
Answers
Answer:
-35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
11-(-24)
35
brianliest please
(30 POINTS WILL GIVE BRAINLEST ONLY RIGHT ANSWERS) Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
ok for real now doesn't make sense to me at all help-
Answers
plz do both ill mark u brainliest
Answers
Answer:
1. C
2. A
Step-by-step explanation:
Hope these are right!
Answer:
Question 16's answer is choice B. divide both sides by 6
Step-by-step explanation:
6a=27
You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.
Answer:
Question 25's answer choice is B. 5
Step-by-step explanation:
1 3/4 + 5/6 =
7/4 + 5/6 =
21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)
Good luck! Have a great day! Hope this helps!
(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)
30 POINTS!!!!!The difference between negative five times a number and three is no less than seven.
Boundary point:
Answers
Answer:
15+[tex]15x+7[/tex]
Step-by-step explanation:
Answer:
The answer would be x=8/5 or 1 3/5
which of the following describes the number 0.5? A. irrational, terminating decimal
B. Rational, repeating decimal
C. irrational, nonrepeating decimal
D. Rational, terminating decimal
Answers
Answer:
D
Step-by-step explanation:
0.5 can be written as a fraction and 0.5 doesn't repeat
The number 0.5 is rational and terminating decimal thus option (D) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given number, 0.5
Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.
Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.
Hence "The number 0.5 is rational and terminating decimal".
For more about the number system,
https://brainly.com/question/22046046
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An animal shelter relies on
donations and adoption fees of
$75 per pet to pay its monthly
expenses of $2800. One month 12
pets are adopted. Which inequality
describes the donations, x,
required for the shelter?
Answers
Answer:
Step-by-step explanation:
x ≥ 2800
12*75=900
900< x
Simplify 8a + 4a + 2
Answers
Answer:
12a+2
Step-by-step explanation:
You can add 8a and 4a together to get 12a
Add 8a+4a then put the +2 back which would be 12a+2 (sorry if this doesn’t make really sense Idk how to explain it lol)
Percentage math problem.
Please help
Answers
Answer:
46%
Step-by-step explanation:
0.25 + 0.21 = 0.46
0.46 = 46%
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answers
Answer:
7/15
Step-by-step explanation:
probability of one being a a 3-pointer is
1 2 3 4 5 6 7
7/15
Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.
What is probability?" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of any event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Random number represents 15 trials
Therefore,
Total number of outcomes = 15
At least one of the 5 team baskets made by the team is a 3- pointer
Sample space of favourable outcomes
= { 81357, 21761, 51537, 62135, 16687, 41662, 27135}
Number of favourable outcome = 7
Required probability = 7 / 15
Hence, Option (D) is the correct answer.
Learn more about probability here
https://brainly.com/question/11234923
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2 Points
Which of the following is a geometric sequence?
O A. 2,5, 7, 12, 19
B. 2, 4, 8, 16, 32
C. 3, 6, 9, 15, 24
O D. 6, 13, 20, 27, 34
Answers
Answer:
b and d
Step-by-step explanation:
f f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?
Answers
Answer:
f(g(x))=5-(7/x)
Step-by-step explanation:
f(x)=(x-3)/x
g(x)=5x-4
f(g(x))=((5x-4)-3)/x
f(g(x))=(5x-7)/x
f(g(x))=(5x/x)-7/x
f(g(x))=5-(7/x)
What is the volume of the solid figure? Enter your answer in the box. A long rectangular prism on top of another shorter rectangular prism. The top prism measures 10 feet by 4 feet by 3 feet. The bottom prism measures 2 feet by 4 feet by 4 feet.
Answers
Answer:
im a say like 104
Step-by-step explanation:
tbh i just geuused imsorry
Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection
