Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
answer this please
Answer5 times 6=30 divide bc its a triangle the answer is 15
Step-by-step explanation:
you have an ant farm with 28 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm
Answer:
Step-by-step explanation:
the table represents a non linear function.
After one year, the ants;
28.(2) 12/3
= 28.(2) 4
=28.16
=448
HCF of two numbers is 5 and LCM is 12...what are the 2 numbers
The two numbers are 15 and 20, and their HCF is 5 and LCM is 12.
Let the two numbers be x and y. We know that:
HCF(x, y) = 5
LCM(x, y) = 12
We can use the fact that HCF * LCM = x * y to find the values of x and y.
HCF * LCM = x * y
5 * 12 = x * y
60 = x * y
We also know that x and y have a common factor of 5. Let's express x and y in terms of their prime factorization:
x = 5 * a
y = 5 * b
Substituting these values into the equation xy = 60, we get:
5a * 5b = 60
ab = 12
The factors of 12 are 1, 2, 3, 4, 6, and 12. We want to find two factors that differ by a multiple of 5 (to satisfy the condition that HCF(x, y) = 5). The only such pair of factors is 3 and 4.
So, a = 3 and b = 4, or vice versa. Substituting these values back into x = 5a and y = 5b, we get:
x = 5 * 3 = 15
y = 5 * 4 = 20
Therefore, the two numbers are 15 and 20, and their HCF is 5 and LCM is 12.
Learn more about ;
prime factorization : brainly.com/question/29763746
#SPJ11
Solve the rational equation quantity 4x-1/12 = 11/12
Options
x = 2.5
x = 2.7
x = 3
x = 4
Ashley calculates her salary (vase and commission) for the year y using a model y = 0.2x + 25,000; where x represents her total sales for the year. What is the meaning of the y-intercept in the model
A) the y-intercept represents Ashleys base play
B) the y intercepts represents Ashleys commission pay
C) the y-intercept represents asleys total sales for the year
D) the y-intercept reperesents the highest salary Ashley can earn
im really struggling with this one
Answer:
A)
Step-by-step explanation:
The y-intercept represents Ashleys base play
Best,
SunflowerJada
please help as soon as popssible ill give thanks and brainliest
Jasmine gets paid $96 for 3 hours, how many dimes is she making an hour? How many nickels is she making an hour? how many quarters is she making an hour? how many pennies is she making an hour? use the problem.
\(x = \)
Answer:
Step-by-step explanation:
I DON'T KNOW
In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
30+20+50 = 100 ml total. 20 ml is orange juice.
So, 30/100 reduce by dividing top and bottom by 30 gives
3/10 is the proportion of orange juice in the fruit cocktail.
Hope this helps! :)
Answer:
3/10
Step-by-step explanation:
First, find the total amount of liquid for a drink with 30 mls of orange juice
Assume volumes can be added
30+20+50 = 100 ml
the percentage/proportion of orange juice in the drink is the number of mls of orange juice divided by the total volume
so
30/100
which can be reduced to 3/10
Explain! Prizes! Thank you !
Answer:
$16
Step-by-step explanation:
20/5 = 4
4 x 4 = 16
Have a good day!
==================================================
Work Shown:
5 notebooks = 20 dollars
5/5 notebooks = 20/5 dollars ..... divide both sides by 5
1 notebook = 4 dollars ..... unit rate
4*(1 notebook) = 4*(4 dollars) .... multiply both sides by 4
4 notebooks = 16 dollars
---------------
Another approach:
(5 notebooks)/(20 dollars) = (4 notebooks)/(x dollars)
5/20 = 4/x
5*x = 20*4 ... cross multiply
5x = 80
5x/5 = 80/5 .... dividing both sides by 5
x = 16
So 4 notebooks cost $16
4(x+7)=38 find the solution
Answer:
x=5/2
Step-by-step explanation:
Solve
Distribute
Subtract
28
from both sides of the equation
4x+28=38
4x+28
3
Simplify
Subtract the numbers
4x=10
4
Divide both sides of the equation by the same term
4x=10
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
I think sry if wrong
Answer:
x = 2.5
x = 5/2
Step-by-step explanation:
Distribute
4(x+7)=38
4x +28 =38
Subtract 28 from both sides of the equation
4x + 28 = 38
4x+28-28=38 -28
Simplify
4x = 10
Divide both sides of the equation by the same term
4x/4 = 10/4
Simplify
x = 5/2
Decimal form = x = 2.5
[RevyBreeze]
Consider the following function on the given interval.
f(x)=15+2x−x^2, [0,5]
Find the derivative of the function.
f’(x) = -2x+2
Find any critical numbers of the function.
x = 1
Find the absolute maximum and absolute minimum values of f on the given interval.
Absolute minimum value 5,0
Absolute maximum value 1,16
The derivative of the function is f'(x) = -2x + 2, the critical number is x = 1, the absolute minimum value is 5 at x = 5, and the absolute maximum value is 16 at x = 1.
The derivative of the function f(x) = 15 + 2x - x^2 on the interval [0, 5] is f'(x) = -2x + 2. The critical number of the function is x = 1. The absolute minimum value of f on the interval is 5 at x = 0, and the absolute maximum value is 16 at x = 1.
To find the derivative of the function, we differentiate each term of the function with respect to x. The derivative of 15 is 0 since it is a constant. The derivative of 2x is 2, and the derivative of x^2 is 2x. Adding these derivatives together, we get f'(x) = 2 - 2x.
To find the critical numbers, we set the derivative equal to zero and solve for x: -2x + 2 = 0. Simplifying, we find x = 1 as the critical number.
To determine the absolute maximum and minimum values of f on the interval [0, 5], we evaluate the function at the endpoints and the critical number. At x = 0, f(0) = 15 + 2(0) - 0^2 = 15, and at x = 5, f(5) = 15 + 2(5) - 5^2 = 5. At the critical number x = 1, f(1) = 15 + 2(1) - 1^2 = 16. Comparing these values, we find that the absolute minimum value of f is 5 at x = 5, and the absolute maximum value is 16 at x = 1.
Learn more about derivative click here: brainly.com/question/30365299
#SPJ11
prime numbers have
less than 2 numbers
more than 2 factors
exactly 2 factors
less than or equal to 2 factors
Answer:
wfddďdrfrrttyyyytgghhghhu
One side of a square measures 15cm. What is its area?
Answer:
Area = l^2
Answer is 225
Fifty people who watch television were recently polled as to
which type of program they preferred. The results are shown in
the table.
What percent of those surveyed preferred to watch new programs?
Answer:
A) 10%
Step-by-step explanation:
take the number who like to watch news and divide by 50 (total number)
5/50 = 0.1
multiply by 100 to get percent
.1 x 100 = 10
10%
what is 9x + 20y = −18
Write the equation of the line parallel to
Y= 2x+ 3 that passes through the
point (6, -9).
The parallel line has an equation of y = 2x - 21
How to determine the line equation?The equation is given as
y = 2x + 3
The equation of a line can be represented as
y = mx + c
Where
slope = m
By comparing the equations, we have:
m = 2
The slopes of parallel lines are equal
This means that the slope of the other line is 2
i.e. m = 2
Recall that:
The equation of a line can be represented as
y = mx + c
Where
slope = m = 2
Also, we have
(x, y) = (6, -9)
So, we have
-9 = 2 * 6 + c
This gives
c = -9 - 12
Evaluate
c = -21
So, we have
y = 2x - 21
Hence, the equation of the parallel line is y = 2x - 21
Read more about linear equations at
brainly.com/question/4074386
#SPJ1
What is the measure of the obtuse angle? 18 54 108 216
The measure of the obtuse angle in the triangle is 108 degrees.
How to find obtuse angles of a triangle?A triangle is a polygon with three sides. The total sum of the angles in a triangle is 180 degrees.
Therefore, the measure of the obtuse angle in the triangle can be found as follows;
An obtuse angle is an angle which is greater than 90° and less than 180°.
Hence, the angles of the triangle are 1x, 3x and 6x.
3x + 1x + 6x = 180
10x = 180
x = 180 / 10
x = 18
Therefore, the obtuse angle of the triangle is 6(18) = 108 degrees.
learn more on obtuse angles here: brainly.com/question/9637024
#SPJ1
Answer:
c) 108 on edgen
If f(x) = -3x + 1, find x if f(x) = -3.
Step-by-step explanation:
If f(x) = - 3 x + 1
When f(x) = -3; - 3x + 1 = -3
-3 x = - 4
x = ⁴/₃
Answer:
The answer is x= 4/3.
Step-by-step explanation:
When you go to check the answer you should get f(4/3) = -3.
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
I got 24 miles for each kind of gas in my car which one of the following is a equivalent radio of miles to gallons.
A. 48 to 2
B. 2 to 48
C. 1 to 24
D. 3 to 240
I believe that the answer is B
What is the m angle of 1?
Answer:
Below:
Step-by-step explanation:
The measure of angle 1 is 45*.
Hope it helps...
It's Ms-Muska
A bag contains purple marbles and white marbles, 30 in total. The number of purple marbles is 6 less than 5 times the number of white marbles. How many purple marbles are there?
The number of purple marbles is 24 and the white is 6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a bag contains purple marbles and white marbles, 30 in total. The number of purple marbles is 6 less than 5 times the number of white marbles.
The number of marbles will be calculated as,
P+W = 30
P = 5W-6
5W - 6 + W = 30
6W = 36
W = 6
P = 30 - 6 = 24
Therefore, the number of purple marbles is 24 and the white is 6.
To know more about an expression follow
https://brainly.com/question/17154737
#SPJ1
Lucia draws a square and plots the center of the square. She claims that any rotation about the center of the square that is a multiple of 45" will carry the square onto itselt Which statement best describes Lucia's claim? a. Lucia's claim is incorrect since not all rotations that carry a square onto itself are multiples of 45
b. Lucia's claim is incorrect slace not all rotations that are multiples of 45' carry a square onto itself c. Lucia's daim is correct since any rotation that is a multiple of 45 canles a square onto tselt d. Lucia's calm is correct since any rotation that comes a square onto itself is a multiple of 45
The statement that best describes Lucia's claim is at option (b), that is " Lucia's claim is incorrect since not all the rotations that are multiples of 45° carry a square onto itself".
What is the rotational symmetry of a square?Two halves of the square when a mirror line is drawn resemble the same or similar, then that square is said to be in symmetry. When the square is rotated about an angle, then it remained the same as the original shape, then that square is said to be the rotational symmetry of a square.Rotation of the given square and its symmetry according to the rotation:It is given that, Lucia draws a square and plots the center of the square.
Lucia claims that " any rotation about the center of the square that is a multiple of 45° will carry the square onto itself".
To verify this claim, we need to construct a square (ABCD) as shown in the figure.
When the square ABCD is rotated about 45° where we can it is 1 × 45°, the square formed is A'B'C'D' is not the same as the actual one. So, they are not in symmetry after the rotation n this case.
If we rotate again, that is for the second multiple of 45° (2 × 45°), we get a square A''B''C''D''. But, now the square is similar to the actual one. So, they are in symmetry.
This means we can say that, not for all the multiples of 45° rotation, the square does not carry onto itself.
Therefore, we can conclude that "Lucia's claim is incorrect since not all rotations that are multiples of 45' carry a square onto itself".
Learn more about the rotation and symmetry of a square at the following link:
https://brainly.com/question/2333707
#SPJ4
A policy analyst would like to predict salary from a set of four predictor variables for a sample of 45 athletic trainers. A multiple linear regression analysis was conducted. Complete the following ANOVA summary table for the test of significance of the overall regression model. Except for the P-value, report all answers accurate to 3 decimal places; report the P-value accurate to 4 decimal places. Use a significance level of α=0.05.
Source SS df MS F P-value
Regression 20
Residual 400
TOTAL
What is your decision for the hypothesis test?
Reject the null hypothesis, H0:β1=β2=...=β4=0
Fail to reject H0
What is your final conclusion?
The evidence supports the claim that one or more of the regression coefficients is non-zero
The evidence supports the claim that all of the regression coefficients are zero
There is insufficient evidence to support the claim that at least one of the regression coefficients is non-zero
There is insufficient evidence to support the claim that all of the regression coefficients are equal to zero
To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.
From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.
Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.
Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:
df for regression = k - 1 = 4 - 1 = 3
df for residual = n - k = 45 - 4 = 41
Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.
MS for regression = SS for regression / df for regression = 20 / 3
MS for residual = SS for residual / df for residual = 400 / 41
Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.
F = (MS for regression) / (MS for residual)
Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.
To know more about hypothesis test refer here:
https://brainly.com/question/29996729?#
#SPJ11
A bag contains equal numbers of green marbles and blue marbles. You can divide all of the green marbles into groups of 12 and all the blue marbles into groups of 16. Whatis the least number of each color of marble thatcan be in the bag
Answer: 48
Step-by-step explanation:
We need to find the least common multiple of 12 and 16.
Finding the prime factorizations of 12 and 16,
\(12=2^{2} \times 3\\\\16=2^{4}\)
Thus, the least common multiple is \(2^{4} \times 3=\boxed{48}\)
What is the volume of a cylinder with a radius of 7 feet and a height of 12 feet? Use 3.14 for pi. Round your answer to the nearest hundredth
Given :-
Radius of cylinder is 7ft.Height is 12ft .To Find :-
The volume of the cylinder .Solution :-
As we know that the volume of the cylinder is ,
\(\longrightarrow\) Volume = πr²h
On substituting the respective values ,
\(\longrightarrow\) Volume = 3.14 * (7ft)²*12ft
\(\longrightarrow\) Volume = 3.14*49ft²*12ft
\(\longrightarrow\) Volume = 1846.32 ft.³
Hence the required answer is 1846.32 ft³.
what is the name for the triangular cartilage anterior to the auditory meatus?
The name for the triangle cartilage anterior to the auditory meatus is called the tragus.
The tragus is a small triangular cartilage that is located anterior to the auditory meatus. It is a small flap of cartilage that projects out from the side of the face and helps to protect the external auditory canal. It is located right above the lobe of the ear, and is covered with a thin layer of skin. It is known to be relatively sensitive, due to its numerous nerve endings. The tragus has a variety of functions, such as helping with hearing, as it helps to focus sound waves into the ear canal. It also helps to block out external noise, which is beneficial for those who are exposed to loud noises on a regular basis. It also helps to keep the ear canal clean, as it acts as a barrier against dirt, water, and other foreign objects. Additionally, it has an aesthetic function, as it is a defining feature of the human ear. Thus, the tragus can be seen as an important part of the structure and function of the human ear.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
solution.
6) -162-5-X
8 9 10 11
12
14 15 16 17 18
Linda can attend either community college or university the annual cost for each are shown below. in the table what total cost to attend the university for four years
Answer:
I believe it's 19279 if u need the answer to community college too tell me
Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)
Answer:
The answer to the equation is B.
Step-by-step explanation:
Answer:
i took the test and its B
Step-by-step explanation: