The given statement is true.
What is matrices ?
A matrix is a collection of numbers that are arranged in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. Matrices are used extensively in many fields of mathematics as well as in engineering, physics, economics, and statistics.
Here ,
Create, Read or Reference, Update, and Delete are all parts of the acronym CRUD. These four interactions between classes in a system are feasible. In order to find possible partners while developing a communication diagram, an analyst would establish a CRUD matrix.
Here the CRUD matrices are created by lists the classes across the top and down of the side.
Hence the given statement is TRUE.
To learn more about matrices
https://brainly.com/question/28777961
#SPJ4
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The correct statement are;
1. The radius of the circle is 3 units.
2. The center of the circle lies on the x-axis.
3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The equation of circle will be;
⇒ x² + y² - 2x - 8 = 0
The standard form of the equation of circle is;
⇒ x² + y² + 2gx + 2fy + c = 0
Where,
The center of circle = (-g , -f)
The radius of circle = √g² + f² - c
Since, The equation of circle will be;
⇒ x² + y² - 2x - 8 = 0
Compare with the standard form of circle, we get;
⇒ 2gx = - 2x
⇒ g = - 1
And, 2fy = 0
⇒ f = 0
Hence, The center = ( -g , -f) = (- (-1) , 0)
= (1, 0)
Clearly, This shows the center of circle is lies on x - axis.
Radius of circle = √g² + f² - c
Substitute all the values we get;
Radius of circle = √g² + f² - c = √(-1)² + 0 - (-8)
= √9
= 3
Thus, The radius of the circle is 3 units.
Now, For the equation of circle x² + y² = 9,
Radius = √9 = 3 units.
So, The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Therefore, The correct statement are;
1. The radius of the circle is 3 units.
2. The center of the circle lies on the x-axis.
3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Learn more about the circle visit:
https://brainly.com/question/25938130
#SPJ1
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4, -4) \text{ and } (9, -2)
(4,−4) and (9,−2)
The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
As per the question statement, two points having coordinates (4, -4) and
(9, -2) plotted on the cartesian plane.
We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.
To solve this question, we need to know the Distance-formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"
Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,
√[(9 - 4)² + {(-2) - (-4)}²]
= √[(9 - 4)² + {(-2) + 4}²]
= √[(9 - 4)² + (4 - 2)²]
=√[(5)² + (2)²]
=√(25 + 4)
=√29
= 5.38 units.
Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.
That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.To learn more about Distances and Coordinates, click on the link below.
https://brainly.com/question/14364020
#SPJ1
Armand plans to save money every month for the next six months. The function f(x)=2x−1 represents the amount of money, in dollars, Armand will deposit into his savings account at the end of x months since the time he started saving. Which of the following represents the amount of money, in dollars, Armand deposits into his savings account at the end of 3 months since the time he started saving? Select all that apply. Responses f⋅3f times 3 f(3)f of 3 3f(x)3 f x 23−12 cubed minus 1 3(2x−1)3 times open paren 2 to the x th power minus 1 close paren
AAnswer:
Step-by-step explanation:
paula invited some friends to dinner, and she plans to make fajitas. at the grocery store, she spends $2.56 on red bell peppers and $1.92 on green bell peppers. if both types of bell peppers cost $1.60 per pound, how many total pounds of bell peppers does she buy?write your answer as a whole number or decimal. pounds
Answer:
2.8 pounds
Step-by-step explanation:
she spends on both types of bell peppers =
$2.56+$1.92=$4.48
$1.60 = 1 pound
$4.48 = ?
= 4.48/1.60
= 2.8 pounds
if you finish these both ill give u a cookie
1. 135, 205, 330, 275, and 365 are divisible by 5.
2. 1, 4, and 7 can be filled in the blank space to make it divisible by 3.
3. 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.
4. 81 is the only composite number all the other nos. are prime.
What is the divisibility rule?Divisibility rules are methods for determining whether a number is divisible by a certain number or not without actually dividing.
We know numbers that are divisible by 5 are those numbers
having 5 or 0 in their unit place.
∴ 135, 205, 330, 275, and 365 are divisible by 5.
A number is divisible by 3 if the sum of all the digits is divisible by 3.
∴ 3,71_ has a digit sum of 11, so 1, 4, 7 can be filled in the blank space to make it divisible by 3.
A list of all the factors of 30 is those numbers that divide 30 completely.
∴ 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.
We know composite numbers are those numbers that are not prime.
∴ 81 is the only composite number all the other nos. are prime and they have only two factors 1 and the number itself.
learn more about prime numbers here :
https://brainly.com/question/9315685
#SPJ1
A projectile is fired vertically upward and can be modeled by the function h(t)=−16t2+900t+175. During what time interval will the projectile be more than 9000 feet above the ground? Round your answer to the nearest hundredth.
Calculating a projectile's vertical upward firing is possible using the function h(t)=-16t²+900t+175. 12.65<t<43.59 will the projectile be above the ground at a height more than 9000 feet.
Given that,
Calculating a projectile's vertical upward firing is possible using the function h(t)=-16t²+900t+175.
We have to find how long will the projectile be above the ground at a height more than 9000 feet.
Answers should be rounded to the closest hundredth.
The function is
h(t)=-16t²+900t+175
-16t²+900t+175>9000
-16t²+900t+175-9000>0
-16t²+900t-8825>0
The simplest method for locating a quadratic equation's roots is the quadratic formula. There are some quadratic equations that are difficult to factor, and in these cases we can quickly discover the roots by using the quadratic formula.
Gives the roots of a quadratic equation ax² + bx + c = 0.
x = [-b ± √(b² - 4ac)]/2a.
Now, We get
t= [-900 ± √((900)² - 4(-16)(-8825))]/2(-16)
t=[-900 ± √(810000-564800)]/-32
t=[-900 ± √(245200)]/-32
t=[-900 ± 495.17]/-32
First,
t=[-900 + 495.17]/-32
t=[-404.83]/-32
t=12.65
Second,
t=[-900 - 495.17]/-32
t=[-1395.17]/-32
t=43.59
Therefore, 12.65<t<43.59 will the projectile be above the ground at a height more than 9000 feet.
To learn more about projectile visit: https://brainly.com/question/11422992
#SPJ1
i need help, what is 4x+14≤38
Answer:
x ≤ 6 I think!
Answer: [tex]x\leq 6[/tex]
Step-by-step explanation: [tex]4x\leq 38-14[/tex]. Move the 14 to the right side first.
Then you would get [tex]4x\leq 24[/tex]
Divide 4 on both side
[tex]x\leq 6[/tex]
I need help with this question. Please help
A linear function which has the same y-intercept of 5 as the one that is represented by the graph is: table 1.
How to calculate the slope of a linear function?Mathematically, the slope of any linear function can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
At points (-3, -4) and (-1, 2), the slope of the line is given by:
Slope, m = (2 + 4)/(-1 + 3)
Slope, m = 6/2
Slope, m = 3.
Note: The y-intercept of the line shown on the graph is 5.
At points (-3, -4), the y-intercept of this line can be calculated by using the slope-intercept form:
y = mx + c
Where:
x and y represents the points.m represents the slope.c represents the y-intercept.Making y-intercept (c) the subject of formula, we have:
y-intercept, c = y - mx
y-intercept, c = -4 - 3(-3)
y-intercept, c = -4 + 9
y-intercept, c = 5.
Read more on y-intercept here: brainly.com/question/19576596
#SPJ1
Complete Question:
Which linear function has the same y-intercept as the one that is represented by the graph?
Solve for x 6 + 2x = 2(x - 3)
Answer:
No solution
Step-by-step explanation:
6 + 2x = 2(x - 3)
6 + 2x = 2x-6
No solution
23. graph 6x=-90
pls anwser need to turn in asap
Answer:
Step-by-step explanation:
Step: 1
-Graph the 6x: It will start at (0,0) and will have a rise of 6 and a run of 1
Step: 2
-Graph the 90: From what I understand it should be a horizontal line with its point on 90y
Sorry if this doesn't help very late where I am.
Ryan invests $7,000 for 9 months at a simple interest rate of 8.3%. The amount of interest received is found by
I=PRT
Since R=0.083,
I=0.083 x P x T
What are P and T?
P, which is the principal invested is $7,000 whereas the T is 0.75
What is simple interest?
The simple interest on an investment such as that of Ryan, can be determined as the principal multiplied by the simple interest rate and the time whose formula is as given below:
I=PRT
I=simple interest amount in dollars=unknown
P=principal investment=actual amount invested on simple interest basis=$7000
R=annual simple interest rate=8.3%
T=period of investment measured in years=9/12=0.75(9months divided by 12months in a year gives 0.75 years)
I=$7000*0.083*0.75
I=$435.75
Find out more about simple interest on:https://brainly.com/question/25545188
#SPJ1
The population of a village is 6400. The population is decreasing exponentially at a rate of r% per year. After 22 years, the population will be 2607. Find the value of r.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$2607\\ P=\textit{initial amount}\dotfill &6400\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\dotfill &22\\ \end{cases} \\\\\\ 2607=6400(1 - \frac{r}{100})^{22} \implies \cfrac{2607}{6400}=\left( \cfrac{100-r}{100} \right)^{22} \implies \sqrt[22]{\cfrac{2607}{6400}}=\cfrac{100-r}{100}[/tex]
[tex]\cfrac{r-100}{100}=-\sqrt[22]{\cfrac{2607}{6400}}\implies r-100=-100\sqrt[22]{\cfrac{2607}{6400}} \\\\\\ r=100-100\sqrt[22]{\cfrac{2607}{6400}}\implies {\Large \begin{array}{llll} r\approx 4 \end{array}}[/tex]
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Please use a picture to show where they are plotted if you can.
The slope of the line in the given diagram = rise/run = 1/2.
How to Determine the Rise and Run of a Line to Determine its Slope?The slope of a line is determined as the ratio of the rise of the line to the run of the line.
The rise of a line = change in y
The run of a line = change in x.
The red line in the image attached below shows the rise of the line which is, 1 units.
The blue line represents the run, which is, 2 units.
The slope of the line = 1 units/2 units = 1/2.
Therefore, we can state that the slope of the line = 1/2.
Learn more about slope on:
https://brainly.com/question/13861479
#SPJ1
thanks help bhjjjdjshshshsyshdh
Answer:
14.90 $ 527.86- 349.11 = 178.75 divided by 12 pta members is 14.89 rounded would be 14.90 the answer depends if u want to round it
Step-by-step explanation:
sub to imaginefn in utube
Determine the range of f(x) = |x + 5|.
Answer:
f(x) ≥ 0
In interval notation Range: [0, ∞]
Step-by-step explanation:
Regardless of the value of x, |x+5| ≥ 0 and there is no upper bound on f(x)
Answer: C
Step-by-step explanation: Got it right for my test
Ashley babysits for 6 hours for $73.50 on Friday and for 3 hours for $36.75 on Sunday. What constant of proportionality relates the number of hours and total pay?
Group of answer choices
$13.50
$12.25
$11.75
$14.25
Answer:
12.25
Step-by-step explanation:
Sonia takes a 4/5-mile walk every day. What part of her walk has she completed once she has walked 3/5 mile?
3/4mile part of her walk completed by Sonia once she has walked 3/5 mile of 4/5 mile distance.
As given in the question,
Sonia takes a walk everyday which is equal to
= 4/5 mile
Moreover, she has completed a part of her daily targeted distance = 3/5 mile
We need to find, what part of the total distance which Sonia covers daily, has she covered just now by covering 3/5 mile of distance.
Part of the total distance which Sonia covers daily, from the distance she has covered just now by covering 3/5 mile of distance
= (Distance covered by Sonia)/ (Total distance covered by Sonia)
= (3/5) / (4/5)
= (3/5) × (5/4)
= 3/4 mile
Therefore,, 3/4mile part of her walk completed by Sonia once she has walked 3/5 mile of 4/5 mile distance.
Learn more about Sonia here
brainly.com/question/13236168
#SPJ1
11.04 = 1/2 (a + 0) 1.5
Answer: the value of a = 14.72 and if you evaluate it.
Have a good day
pls help it's very urgent !!
For given function the rule obtained when finding f^(-1) is ±√[(x + 4)/3]
In this question, we have been given a function f(x) = 3x² - 4
We need to write the rule obtained when finding f^(-1)
Le f(x) = y ........(1)
y = 3x² - 4
We find the value of x.
3x² = y + 4
x² = (y + 4)/3
x = ±√[(y + 4)/3]
From (1),
f^{-1}(y) = ±√[(y + 4)/3]
Since the choice of the variable is arbitrary, we can write this as ,
f^{-1}(x) = ±√[(x + 4)/3]
Therefore, for given function the rule obtained when finding f^(-1) is ±√[(x + 4)/3]
Learn more about the inverse of function here:
https://brainly.com/question/16973048
#SPJ1
over the set of integers factor the expression 4x^3 - x^2+16x-4 completely
The factorized expression of the equation of the function given as lf(x) = 4x³ - x² + 16x - 4 is f(x) = (x² + 4)(4x - 1)
How to determine the factor of the expression?The equation of the function is given as
f(x) = 4x³ - x² + 16x - 4
Factor out x from the equation of the function
So, we have
f(x) = 4x³ - x² + 16x - 4
Group the terms in 2's
f(x) = (4x³ - x²) + (16x - 4)
Factorize the expression in the bracket
So, we have
f(x) = x²(4x - 1) + 4(4x - 1)
Factor out 4x - 1
So, we have
f(x) = (x² + 4)(4x - 1)
Hence, the factorized expression is f(x) = (x² + 4)(4x - 1)
Read more about polynomial at
https://brainly.com/question/17517586
#SPJ1
Make g the subjest of a=g+h/2
g = a - [tex]\frac{h}{2}[/tex]
Rory has a handful of Skittles. He has 5 red, 8 yellow, 6 purple, 4 green, and 11 orange.
What is the ratio of red and orange to the other Skittles?
The most appropriate choice for ratio will be given by-
Ratio of red and orange to the other Skittles = 8 : 9
What is ratio?
Ratio determines how many times one number is bigger than the other number, provided both the numbers has the same unit.
The first part of the ratio is called antecedent and the second part of the ratio is called consequent
Here,
Number of red Skittles Rory has = 5
Number of yellow Skittles Rory has = 8
Number of purple Skittles Rory has = 6
Number of green Skittles Rory has = 4
Number of orange Skittles Rory has = 11
Total number of red and orange skittles = 5 + 11
= 16
Total number of other skittles = 8 + 6 + 4
= 18
Ratio of red and orange to the other Skittles = 16 : 18
= 8 : 9
To learn more about ratio, refer to the link:
https://brainly.com/question/2328454
#SPJ9
Factorise 12x raise to power of 2 and y raise to power of 2 +11xy-5
According to the solving the factorized value of the given equation is:
(4x-5). (3x+1).
What is factorization?Writing a number or any mathematical object as the sum of several factors—typically smaller or simpler objects that use the same known as factorization or factoring. For instance, 3 5 factors the polynomial x2 - 4 as well as the integer 15.
Why do we factor?Factoring is a crucial procedure that aids in our understanding of our equations. We factorize our polynomials to create a simpler form, and when we factorize equations, we obtain a wealth of important information.
According the given data:Detailed explanation:
12x² - 11x-5
12x²+4x-15x-5
4x(3x+1) - 5(3x+1)
(4x-5). (3x+1)
To learn more about factorization visit:
https://brainly.com/question/28124279
#SPJ10
a steamer sails 100 miles east and then 40 miles on a bearing of n60°e. how far is the steamer from its starting point, and at what angle has it traveled from its starting point? round your answer to the nearest thousandth.
how do i delete an answer?
how many solutions does the equation 7x+3-8=2(5x-4) have
The number of solutions in the equation where the equation is given as 7x + 3 - 8 = 2(5x - 4) is one solution
How to determine the number of solutions in the equation?The equation is given as
7x + 3 - 8 = 2(5x - 4)
The above equation is a linear function with one variable
So, we have
7x + 3 - 8 = 2(5x - 4)
Open the brackets
So, we have
7x + 3 - 8 = 10x - 8
Subtract 10x from both sides of the equation
So, we have
-3x + 3 - 8 = - 8
Subtract (3 - 8) from both sides of the equation
So, we have
-3x = - 3
Divide by -3
x = 1
The above equation is true because it has a definite solution
Hence, the number of solutions in the equation is one
Read more about linear equations at
brainly.com/question/4074386
#SPJ1
Find the length of WY if WZ=128 ft and WX=YZ
Answer: 91 ft
Step-by-step explanation:
Since WZ=1287ft .XY=54ft
WX is congruent to YZ
so WX= 1/2 (128-54)
= 1/2 x(<—times) 74
=37ft
WY= WX + XY
=37+54
= 91ft
Vince took out a $500 loan to buy a new
couch. He paid back the loan in 2 years and
paid a total of $570. What was the simple
interest rate for his loan?
Answer:
Step-by-step explanation:
The requried, simple interest rate for Vince's loan was 7%.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Amount = Principal [1 + rate×time]
We can use the simple interest formula to solve this problem, where:
Simple interest = Principal x Rate x Time
In this case, the principal is $500, and the time is 2 years. We can rearrange the formula to solve for the rate:
Rate = Simple interest / (Principal x Time)
The total amount paid back, including the principal and the interest, is $570. So, the simple interest can be calculated as:
Simple interest = Total amount paid - Principal
Simple interest = $570 - $500
Simple interest = $70
Substituting these values into the formula, we get:
Rate = $70 / ($500 x 2)
Rate = $70 / $1000
Rate = 0.07 or 7%
Therefore, the simple interest rate for Vince's loan was 7%.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ2
PLEASE HELP!! PICTURE INCLUDED!!
Please explain how to find angle R!!
Answer:
∠ R = 75°
Step-by-step explanation:
you are correct with answers to a, b, c
d
the sum of the 3 angles in Δ QRS = 180° , that is
∠ Q +∠ R + ∠ S = 180° , so
55° + ∠ R + 50° = 180°
∠ R + 105° = 180° ( subtract 105° from both sides )
∠ R = 75°
an executive in an engineering firm earns a monthly salary plus a christmas bonus of 5700 dollars. if she earns a total of 83500 dollars per year, what is her monthly salary in dollars?
The monthly salary of an executive is $6483.
What is monthly salary?
A salary is the amount of money that an employee receives from their employer each month, particularly when they work in a profession like education, law, or medical.
Given: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 5700 dollars. She earns a total of 83500 dollars per year.
To find the salary for each month.
First to subtract the Christmas bonus from the total amount.
83500 - 5700 = 77800.
So, the salary from each month is, 77800/12 = 6483
Therefore, the salary for each month is, $6483.
To know more about the monthly salary, click on the link
https://brainly.com/question/24825618
#SPJ4
Which statement is true
A)Only graph A is a function
B)Only graph B is a function
C)Both graphs are functions
D)Neither graph is function
Answer:wish i could help
Step-by-step explanation:......
