Answers
Answer:
C. No, because it's determinant is zero
Step-by-step explanation:
[tex]A= \begin{bmatrix} 16 & - 4\\\\ 8 & - 2\end{bmatrix} [/tex]
[tex] det(A) =\begin{vmatrix} 16 & - 4\\\\ 8 & - 2\end{vmatrix} [/tex]
[tex] det(A) = 16\times (-2)-(-4)\times 8[/tex]
[tex] det(A) = -32+32[/tex]
[tex] det(A) = 0[/tex]
This matrix have no inverse, because it's determinant is zero.
It is given a 2*2 matrix of order 2.
To find this matrix have an inverse or not.
What is determinant?
A quantity obtained by the addition of products of the elements of a square matrix according to a given rule.
The given matrix is
A= [tex]\left[\begin{array}{ccc}16&-4\\8&-2\\\end{array}\right][/tex]
det A=16*(-2)-(-4)*8=0
det A=0
So, this matrix have no inverse, because it's determinant is zero.
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Related Questions
What is the product of 10 and 3/4
Answers
I HOPE THIS HELPED
A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality
Answers
Answer:
0.5 gallons per hour
Step-by-step explanation:
what is -5 - 1/2 equal?
Answers
Answer:-5.5
Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5
Answer:
-5.5
Step-by-step explanation:
When you do -5 - 1/2, you get -5.5!
Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pictures will each friend get?
Answers
Answer:
each friend will get 22
Step-by-step explanation:
so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
Answers
Answer:
75.23=10.27x
Step-by-step explanation:
Around 7 months
what does hypothesis mean?
Answers
Answer:
a guess or prediction on how an experiment is going to turn out.
Step-by-step explanation:
Scientists use it a lot
Answer:
Hypothesis means a reasonable guess in science.
Step-by-step explanation:
Scientists first make a hypothesis in order to predict the solution to their experiment. And when they're hypothesis is wrong, they make another hypothesis. So basically, a hypothesis is a "reasonable guess"
Hope this answers your question!
Suppose that the odds against a particular team winning the Super Bowl are 11 to 1. What is the probability of that team not winning the Super Bowl?
A) 10/11
B) 11/12
C) 1/11
D) 1/12
Answers
Answer:
A) 10/11
Step-by-step explanation:
Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.
Find the slope of the line represented by the table
Answers
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
Write the linear equation in slope-intercept form, 5x − 2y = 10
Answers
Answer:
y=5x-2
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point and slope.
Point: (1, -3)
Slope: -4
Answers
Answer:
y=-4x+1
Step-by-step explanation:
Graph (1,-3)
Go down 4 over one/ up left one
Get y-intercept
Then BOOM you got it
Answer:
y = -4x + 1
Step-by-step explanation:
We are given that a line has a slope of -4 and a point (1, -3).
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept.
As we are already given the slope, we can immediately plug its value into the equation.
Substitute -4 as m in the equation.
y = -4x + b
Now we need to find b.
As the equation passes through the point (1, -3), we can use its values to help solve for b.
Substitute 1 as x and -3 as y.
-3 = -4(1) + b
Multiply.
-3 = -4 + b
Add 4 to both sides
1 = b
Substitute 1 as b in the equation.
y = -4x + 1
Topic: writing the equation of the line (slope-intercept form)
See more: https://brainly.com/question/22448557
Help thank you to who ever does I will mark brainliest.
Answers
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units
what number represents 125.638 rounded to the nearest hundreth
Answers
Answer:
The answer is [tex]125.64[/tex]
Step-by-step explanation:
hope this helps :)
The governor of state A earns $48,980 more than the governor of state B. If the total of their salaries is $289,660, find the salaries of each
Answers
Answer:
Governor of State B: $120,340; Governor of State A: $169,320
Step-by-step explanation:
For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.
Governor B salary + Governor A salary = $48980
x+x+48980=289660
2x+48980=289660
2x=240680
x=120340
120340+48980=169320
Let y = salary for governor of state B
Then x = y + 48980, since gov. of state A earns this much more than governor of state B.
Therefore we have x + y = 289660. Substitute for x.
(y + 48980) + y = 289660
2y + 48980 = 289660
2y = 240680
y = $120340, which is salary for governor B.
Now we substitute y into x = y + 48980
x = 120340 + 48980
x = $169320, which is salary for governor A.
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answers
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
please help!Thank you so much
Answers
Answer:
An equation is a math sentence that DOES contain an equals sign (=).
The inverse of addition is subtraction.
The inverse of subtraction is addition.
The inverse of multiplication is division.
The inverse of division is multiplication.
Step-by-step explanation:
I'm sorry if I got the first one incorrect.
if anybody could answer this; please do!
Answers
Answer:
2
Step-by-step explanation:
cause
Answer:1,036
Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho
Can anybody help meeeeeeeeeeee
Answers
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
Please help ASAP!!!!
Answers
Answer:
See attached pdf for answer
Step-by-step explanation:
Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2.
Answers
Answer:
so 5.7 square root is 2.45 so minus that by 2K and you get 3.4
Step-by-step explanation:
Evaluate p + 2 for p = -8.
Answers
Answer:
-6
Step-by-step explanation:
Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?
Answers
Answer:
1/3
Step-by-step explanation:
i hope this helped !!!!!!!!!
1/6 fraction of bottle of lemonade will each friend gets.
What is Fraction?A fraction represents a part of a whole.
Given,
Half a bottle of lemonade is shared between 3 friends .
Half means 1/2.
One divided by two is half.
This half is shared between three friends.
So we need to divide half by three of friends.
1/2/(3/1)
When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.
1/2×1/3
1/6
Hence, 1/6 fraction of bottle of lemonade will each friend gets.
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In the parallelogram below,
z = [ ? ]°
Answers
Please help and explain how you got the answer. Im giving out brainliest. || Q3
Answers
Answer:6:8
Step-by-step explanation:
DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answers
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
The required values are in the completed table which has been attached below.
What is the distance?Distance is defined as the product of speed and time.
Since the Cheetah's speed is constant, the speed must be consistent throughout the table.
To calculate the unknown time and distance, use the following formula:
Speed = Distance/Time = c
When distance = 120m, time = 4 secs
Speed = 120/4 = c
Speed = 30m/s = c
We are to get the distance when the time is 25 secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Therefore, the required values are in the completed table which has been attached below.
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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
Answers
Answer:
Width = 166.7 ft
Length = 250 ft.
Step-by-step explanation:
From the diagram at the ATTACHMENT
Let us denote the the length of the rectangular area as "x" and
the width of the rectangular area as "y"
Since, cost of the fence on the western side is shared with a neighbor, we can say it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.
From the question, we know that the cost is not to exceed $7000, therefore we can expressed it as
7y + 14x + 14y = 7000
14x + 21y = 7000
Divide through by 14, we have
(x + 1.5) = 500 ------------- eqn (*)
But the area of the fenced
= A = (x×y) -------------- eqn (**)
Substitute (*) into (**) we have
A = (500 - 1.5y)*y
= 500y - 1.5y²
In other to maximize the Area, we can find the differential of A
A'(y) = 500 - 3y
At A'(y) = 0.
500-3y= 0
3y=500
y= 166.67 ft
From eqn(*)
(x+ 1.5) = 500
x = 500 - 1.5y
500-1.5(166.67)
= 250ft
Therefore, the dimensions for the plot that would enclose the most area are
Width of 166.67 ft and Length = 250 ft.
1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.
Answers
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
Need help asap in a hurry, please. Doing a budget The gross income is $54,000.
Answers
HELP ME FIND THE Y-INTERCEPT
Answers
Answer:
0
Step-by-step explanation:
Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?
Answers
Answer:
Esther has 200, Richard has 40
Esther gives Richard 50 cards. Now they have
Esther: 150, Richard: 90
Richard gives Esther 15, so they now have
Esther: 165, Richard 75
Step-by-step explanation:
Answer:
Esther had 200 cards at first
Step-by-step explanation:
Variables:
Esther: 5r
Richard: r
Equalities:
e = 5r
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
Solve:
Replace e with 5r and solve for r:
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90
5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90
5r - 1.25r + 0.375r = 1.875r + 90
5r - 1.25r + 0.375r - 1.875r = 90
2.25r = 90
r = 40
Esther: 5r = 5(40) = 200
Richard: r = 40
Tina's plans to make wooden fences To put heard to triangle art pieces In
How much wood would she need for triangle DFG
Answers
Answer:
54 feet.
Step-by-step explanation:
Consider AB and DF. FD is 3 times the size of AB
So if AC = 7 then DG = 3* 7 = 21
The total Perimeter = 15 + 18 + 21 = 54 feet
Answer:
well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho