Answer:
41
Step-by-step explanation:
Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?
Answer:
For the first equation we have:
A*x = b
solving for x, we get:
x = b/A
If it always has a solution, then we can not have A = 0, because that causes an undefined operation.
so for example, if we have A = 1 and b = 2
x = b/A = 2/1
For the other case,
A*y = 0
dividing both sides by A
y = 0/A = 0
y = 0
Here we have only one possible solution, the trivial one, y = 0.
And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)
Find the value of cos J rounded to the nearest hundredth, if necessary.
Answer:
cosJ ≈ 0.38
Step-by-step explanation:
This is a 5- 12- 13 right triangle
with HI = 12, HJ = 13, IJ = 5
cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )
The required value of Cos(J) for the given triangle is 0.38.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
In the given ΔHIJ the sides are given as,
JH = 13 and HI = 12.
Now, apply Pythagoras theorem to obtain,
IJ² + HI² = JH²
⇒ IJ² = 13² - 12²
⇒ IJ = 5
Use trigonometric ratio to obtain,
Cos(J) = IJ/HI = 5/13 = 0.38
Hence, the value of Cos(J) is obtained as 0.38.
To know more about Pythagoras theorem click on,
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not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
Solve: 4(x + 3) ≤ 44
x ≥ 16
x ≤ 16
x ≤ 8
x ≥ 8
Please help
Answer:
C
Step-by-step explanation:
[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]
PLZ HELPPP!!! whoever answers first with a good answer ill mark as brainliest
This is because the nth term is found by adding the previous two terms
F(n) = nth term
F(n-1) = term just before the nth term
F(n-2) = term before the F(n-1) term
F(n) = F(n-1) + F(n-2)
We can re-index values of n to say this equivalent statement
F(n+2) = F(n+1) + F(n)
Based on either equation mentioned, adding F(51) and F(52) will get us F(53). In other words, the 51st and 52nd terms add to the 53rd term.
During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows the survey results.
Answer:
[tex]Ratio = 1 : 6[/tex]
Step-by-step explanation:
Given
[tex]n = 24[/tex]
Results:
[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]
[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]
Required
Ratio of students not participating to all students
Students not participating are represented with 0;
So, we have:
[tex]n(0)= 4[/tex]
The ratio is then calculated as:
[tex]Ratio = n(0) : n[/tex]
[tex]Ratio = 4 : 24[/tex]
Divide by 4
[tex]Ratio = 1 : 6[/tex]
the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool
Answer:
[tex]Height = x - 5[/tex] --- one of the dimension
Step-by-step explanation:
Given
[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]
Required
The side dimension
Factorize the given expression
[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]
Factor out x - 5
[tex]Volume = (4x^2 + 3)(x - 5)[/tex]
Volume is the product of base area and height'
Hence:
[tex]Area = 4x^2 + 3[/tex]
[tex]Height = x - 5[/tex]
Which of the following is an even function?
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??... Answer it
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Which of the following expressions are equivalent to (x+y)-(-z)
Choose all answers that apply:
A. (x+y)-z
B. x+(y+z)
C. none of the above
Answer:
B
Step-by-step explanation:
(x+y)-(-z)
=(x+y)-(-z)
=(x+y)+z
=x+(y+z)
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
There is step to step calculation
Hope is helpful
what is the solution to log_5 (10x-1)=log_5 (9x+7)
a) x= 6/19
b) x= 8/19
c) x=7
d) x=8
Answer: D
To solve the equation we proceed as follows:
log5(10x-1)=log5(9x+7)
canceling out log5 we get:
(10x-1)=(9x+7)
solving for x we get:
10x-9x=7+1
x=8
thus the value of x=8
Step-by-step explanation:
it was on brainly already
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
11. What is the value of y when 10y-5=20
Answer:
y = 2.5
Step-by-step explanation:
Given
10y - 5 = 20 ( add 5 to both sides )
10y = 25 ( divide both sides by 10 )
y = 2.5
Answer:
5/2
Step-by-step explanation:
The given equation to us is ,
[tex]\implies 10y -5 = 20 [/tex]
Add 5 both sides ,
[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]
[tex]\implies 10y = 25[/tex]
Divide both sides by 10 ,
[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]
[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]
What is the product?
3 x 4/5
The product Write as an improper fraction is ?
the product written as a mixed number is 2 2/5.
Whats the anwser ?
Answer:
12/5 as an improper fraction
2 2/5 as a mixed number
Step-by-step explanation:
3 * 4/5
Rewriting the whole number as a fraction
3/1 * 4/5
Multiply the numerators
3*4 = 12
Multiply the denominators
1*5 =5
Numerator over denominators
12/5
Rewriting as a mixed number
5 goes into 12 2 times (2*5=10 12-10=2) with 2 left over
2 2/5
What is the area of this figure? Enter your answer in the box.
Answer:
Step-by-step explanation:
33
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
2/3(x+6)=-18 what is the value of X in the equation?
Answer:
x= -33
Step-by-step explanation:
expand the equation : 2/3x +4 =-18
Then simplify to 2/3x=-22
multiply both sides by 3/2x to get x=-33
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
x + 6 = (3/2)(-18)
x + 6 = -27
x = -33
The perimeter of the rectangle below is 46 units. Find the length of side AB.
Write your answer without variables.
D
3x - 2
AB = 0
х
$
?
A
2x
B
Ax
B
Step-by-step explanation:
.....
...
..
Determine if the conditional statement is true or false given the following: p is false. q is false. Is -q -p true or false?
Hello,
if p is false then ~p is true
if q is false then ~q is true
if ~p is true and ~q is true then ~q and ~p is true
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, [tex]\mu=8.04 g[/tex]
Standard deviation, [tex]\sigma=0.08g[/tex]
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components
[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]
[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]
=0.03
From z- table we get
[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]
Therefore, we get
[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]
[tex]x_1-8.04=-1.88\times 0.08[/tex]
[tex]x_1=-1.88\times 0.08+8.04[/tex]
[tex]x_1=7.8896[/tex]
[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]
[tex]x_2=1.88\times 0.08+8.04[/tex]
[tex]x_2=8.1904[/tex]
Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Which expression is equivalent to c+c - 7c?
7с
1- 6c
-5c
c- 6
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]
[tex]\huge\textsf{c + c - 7c}[/tex]
[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]
[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]
[tex]\large\textsf{= 2c - 7c}[/tex]
[tex]\large\textsf{= \bf -5c}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
C+c-7c2c-7c(2-7)C-5CAccording to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
asap answer pls -------------------
Answer:
f(2) = - 5
Step-by-step explanation:
Using the recursive rule and f(1) = - 3 , then
f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5
What's 70 x4 I just wanna see if it’s really going to help me
Step-by-step explanation:
70
*4
___
280.......ans
Find the cost of 5 Kgs of apples using the data given in the graph.
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
Please help ASAP and please show work if possible.
Answer:
72° and 108°
Step-by-step explanation:
let one angle be x then the other angle is 1.5x
A linear pair sum to 180° , so
x + 1.5x = 180 , that is
2.5x = 180 ( divide both sides by 2.5 )
x = 72
1.5x = 1.5 × 72° = 108°
The two angles are 72° and 108°
Answer:
do you have wazapp I can send full pic of the answer here
Lily owed Megan $129.42. So far, she has paid Megan $32.56.
The remaining amount Lily has yet to pay Megan is $
Answer: $96.86
Step-by-step explanation:
Lily owed megan = $129.42
she has paid megan = $32.56
The remaining amount Lily has yet to pay Megan = $129.42 - $32.56 = $96.86.
Please mark me the brainliest
ANSWER PLZ ILL GIVE BRAINLIEST FIRST PERSON WHO ANSWER IM BEGGING
Answer:
The slope is 9.
Step-by-step explanation:
Answer:
Slope = 9
Step-by-step explanation:
Slope intercept form is y = mx +b (where m is slope and b is y intercept).
Here, m= 9 (slope) and b=0 (y intercept)