A triangle has sides with lengths of 13 feet, 16 feet, and 4 feet. Is it a right triangle?
well, a right-triangle will have one angle that is 90°, and using the pythagorean theorem, we also know that the longest side is really the root of the sum of the square of the other two. After all that mouthfull let's check
[tex]\stackrel{longest}{16}~~ = ~~\sqrt{\underset{short}{13^2}~~ + ~~\underset{short}{4^2}}\implies 16=\sqrt{169+16} \\\\\\ 16=\sqrt{185}\implies 16^2=185\implies 256~~ \ne ~~185\qquad \leftarrow \textit{nope, it isn't}[/tex]
Pls help mee
Show your work pls not just the answer thank you
If five people share three cartons of chow mein, what is each person's share?
Answer:
1.6 is how much each person gets
hope this will helpful to you
Graph the line using a point and a slope. Write the equation of each line.
a line that passes through the point (0, –3) and parallels to another line whose slope is
1.2.
Answer:
y=1.2x-3
Step-by-step explanation:
I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps
Determine the slope of the line that passes through the given points. Complete your work in the space provided
(8,1)and (8,-4)
Answer:
undefined
Step-by-step explanation:
(y2-y1)/(x2-x1)
replacing x and y with the given value:
(-4-1)/(8-8)
-5/0
the slope is undefined because the run is 0
Katie’s cell phone plan includes 400 peak minutes. Last month Katie used 240 peak minutes. This month Katie used 300 peak minutes. What was the percent increase in the number of peak minutes Katie used? HELP ASAP
Answer:
25%
Step-by-step explanation:
So you subtract the number of peak minutes Katie used last month from the number of peak minutes Katie used this month. Divide the difference by the number of peak minutes Katie used last month. Then multiply by 100 to find the percent increase. Katie used 25% more peak minutes this month than last month.
Hope i helped
Answer:
25%
Step-by-step explanation:
given the series 1+2+4+8+.... find the 8th term
Consider the [tex]n[/tex]-th partial sum of a geometric series with first term [tex]a[/tex] and common ratio [tex]r[/tex] between consecutive terms. Then the sum of the first [tex]n[/tex] terms of this series is
[tex]S = a + ar + ar^2 + \cdots + ar^{n-1}[/tex]
Multiply both sides by [tex]r[/tex], then subtract [tex]rS[/tex] from [tex]S[/tex] and solve for [tex]S[/tex].
[tex]rS = ar + ar^2 + ar^3 + \cdots + ar^n[/tex]
[tex]S - rS = a - ar^n[/tex]
[tex]\implies S = \dfrac{a(1-r^n)}{1-r}[/tex]
In the given series, we have [tex]a=1[/tex] and [tex]r=2[/tex]; then the sum of the series with [tex]n=8[/tex] terms is
[tex]S = \dfrac{1-2^8}{1-2} = 2^8 - 1 = \boxed{255}[/tex]
The average weight of the class of 35 students was 45 KG. with the admission of a new student the average weight came down to 44.5 kg. find the weight of a new student
The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
1) Define variablesLet the total weight of the 35 students be y kg and the weight of the new student be x kg.
2) Find the total weight of the 35 students[tex]45 = \frac{y}{35} [/tex]
y= 35(45)
y= 1575 kg
3) Write an expression for average weight of students after the addition of the new studentNew total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x
[tex]44.5 = \frac{y + x}{36} [/tex]
4) Substitute the value of y[tex]44.5 = \frac{1575 + x}{36} [/tex]
5) Solve for x36(44.5)= 1575 +x
1602= x +1575
Subtract 1575 from both sides:
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.
class 6 students come here I will give you notes class is started come here fast I am waiting come with your name and class girls come fast
Answer:
1+x it means I plus the rest
how to list the first ten multiples of 7
Answer:
7,14,21,28,35,42,49,56,63,70
Step-by-step explanation:
just add 7 lol anyways here ya go :)
create a truth table for The Logical statement
In the third column, the sequence is: F, T, F, T
You flip whatever you see in the q column since ~q means "not q".
--------------
In the fourth column is: T, T, T, F
The general form of p -> q is false if p is true while q is false; otherwise, it is true. So ~q -> p is false when ~q is true and p is false.
40 - [(8 x 7) - (5 x 6)] need the work also
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Multiply~the~parenthesis:[/tex]
[tex]\bold{8}[/tex] × [tex]\bold{7=56}[/tex][tex]\bold{5}[/tex] × [tex]\bold{6=30}[/tex][tex]2.)~Subtract~the~parenthesis:[/tex]
[tex]\bold{[56-30]=26}[/tex][tex]\bold{When~there~are~2~sets~of~parentheis~you~have~to~solve~according~to~order.}[/tex][tex]3.)~Subtract~on~the~side~without~an~equal:[/tex]
[tex]\bold{40-26=14}[/tex][tex]\bold{14=14}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~exact~form~of~this~expression~is~\boxed{14=14}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
A train ride is 8 hours long every 2/3 hours the conductor checks on the passengers how many times during the trip does he check on the passenger Please show work
Answer:
The conductor checked on the passengers 12 times.
Step-by-step explanation:
To find how many times the conductor checks on the passengers, you must do
8 divided by 2/3
because you have to find how many 2/3 (times checked by conductor) are in 8 hours.
8/1 ÷ 2/3
Switch the two numbers of 2/3 or find the reciprocal which is
3/2
and change ÷ to ×
Now solve.
8/1 x 3/2 = 24/2 (8x3=24 and 1x2=2)
which Simplified is
12/1 or 12
Check your answer:
12/1 x 2/3 = 24/3 = 8
The conductor checked on the passengers 12 times.
the diagonals of a square ___ each other, are ___ to each other, ___ opposite angles and are ___
Step-by-step explanation:
The diagonals of a square bisect each other, are perpendicular to each other, bisect opposite angles and are congruent.
8-9(x+1) = ax+4
In the equation shown above a is the constant ?
1.. Use long division to divide.
(2x2 + 10x + 12) = (x + 3)
Answer:
2(x+2)
Step-by-step explanation:
(2x²+10x+12)/(x+3)=(2(x²+5x+6))/(x+3)=(2(x²+2x+3x+6))/(x+3)=(2(x(x+3)+2(x+3)))/(x+3)=(2(x+3)+(x+2))/(x+3)=2(x+2)
i hope you understand (well it's math)
Does translating a figure can change the side length
Answer:
No.
Step-by-step explanation:
Translation is a type of rigid transformation. It simply moves the figure around the coordinate plane, so the size doesn't change.
Finding congruent angles
Answer:
AAS
Step-by-step explanation:
There are two congruent angles, but the congruent side is not included between the two angles.
The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number sequence
Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96
32 gallons per minute to how many quarts per hour
Answer:
The answer is 7680
Step-by-step explanation:
First you multiply 32 by 4(the usual formula) which gives you 128. However, the time changes the some things. So then you must multiply 128 by 60 (60 minutes in one hour). Which gives you 7680
hope i helped :D
Customers at the gym pay a membership fee to join and then a fee for
each class they attend. Here is a graph that represents the situation.
1. What is the slope?
F. What is the y-intercept?
Answer:
Slope = 20
y-intercept = 60
Step-by-step explanation:
Slope formula is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).
Let,
[tex] (1, 80) = (x_1, y_1) [/tex]
[tex] (2, 100) = (x_2, y_2) [/tex]
Plug the values above into the formula for slope:
[tex] m = \frac{100 - 80}{2 - 1} = \frac{20}{1}} = 20 [/tex]
Slope of the graph is 20.
The y-intercept is the point where the line intercepts the y-axis. Thus, y-intercept = 60.
PLEASE HELP!
The endpoints of CD are C(1,-6) and D(7,4). Find the coordinates of the midpoint M.
Answer:
(4, -1)
Step-by-step explanation:
Given:
C(1, -6)
D(7, 4)
Required:
Midpoint of CD using [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
SOLUTION:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] C(1, -6) = (x_1, y_1) [/tex]
[tex] D(7, 4) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{1 + 7}{2}, \frac{-6 + 4}{2}) [/tex]
[tex] M(\frac{8}{2}, \frac{-2}{2}) [/tex]
[tex] M(4, -1) [/tex]
Linear Algebra question! Please help!
Which of the following statements are true for all invertible n x n matrices A and B?
Answers:
falsefalsetruefalseTrue==================================================
Explanation:
Problem 1
This is false because the A and B should swap places. It should be [tex](AB)^{-1} = B^{-1}A^{-1}[/tex].
The short proof is to multiply AB with its inverse [tex](AB)^{-1}[/tex] and we get: [tex](AB)*(AB)^{-1} = (AB)*(B^{-1}A^{-1}) = A(B*B^{-1})*A^{-1} = A*A^{-1} = I[/tex]
The fact we get the identity matrix proves that we have the proper order at this point. The swap happens so that B matches up its corresponding inverse [tex]B^{-1}[/tex] and the two cancel each other out.
Keep in mind matrix multiplication is not commutative. So AB is not the same as BA.
-------------------------
Problem 2
This statement is true if and only if AB = BA
(A+B)^2 = (A+B)(A+B)
(A+B)^2 = A(A+B) + B(A+B)
(A+B)^2 = A^2 + AB + BA + B^2
(A+B)^2 = A^2 + 2AB + B^2 ... only works if AB = BA
However, in most general settings, matrix multiplication is not commutative. The order is important when multiplying most two matrices. Only for special circumstances is when AB = BA going to happen. In general, AB = BA is false which is why statement two breaks down and is false in general.
-------------------------
Problem 3
This statement is true.
If A and B are invertible, then so is AB.
This is because both [tex]A^{-1}[/tex] and [tex]B^{-1}[/tex] are known to exist (otherwise A and B wouldn't be invertible) and we can use the rule mentioned in problem 1. Make sure to swap the terms of course.
Or you can use a determinant argument to prove the claim
det(A*B) = det(A)*det(B)
Since A and B are invertible, their determinants det(A) and det(B) are nonzero which makes the right hand side nonzero. Therefore det(A*B) is nonzero and AB has an inverse.
So if we have two invertible matrices, then their product is also invertible. This idea can be scaled up to include things like A^4*B^3 being also invertible.
If you wanted, you can carefully go through it like this:
If A and B are invertible, then so is ABIf A and AB are invertible, then so is A*AB = A^2BIf A and A^2B are invertible, then so is A*A^2B = A^3Band so on until you build up to A^4*B^3. Therefore, we can conclude that A^m*B^n is also invertible. Be careful about the order of multiplying the matrices. Something like A*AB is different from AB*A, the first of which is useful while the second is not.
So this is why statement 3 is true.
-------------------------
Problem 4
This is false. Possibly a quick counter-example is to consider these two matrices
[tex]A = \begin{bmatrix}1 & 0\\0 & 1\end{bmatrix} \text{ and } B = \begin{bmatrix}-1 & 0\\0 & -1\end{bmatrix}[/tex]
both of which are invertible since their determinant is nonzero (recall the determinant of a diagonal matrix is simply the product along the diagonal entries). So it's not too hard to show that the determinant of each is 1, and each matrix shown is invertible.
However, adding those two mentioned matrices gets us the 2x2 zero matrix, which is a matrix of nothing but zeros. Clearly the zero matrix has determinant zero and is therefore not invertible.
There are some cases when A+B may be invertible, but it's not true in general.
-------------------------
Problem 5
This is true because each A pairs up with an [tex]A^{-1}[/tex] to cancel out (similar what happened with problem 1). For more info, check out the concept of diagonalization.
c or b???????????????
Answer:
i think it's b4
Step-by-step explanation:
Which lunch box holds more? 3.75 in. 7.5 in. 10 in. or 3.75 in. 8 in. 9.5 in.
They are both really the same. so they should hold the same. All that happened is one moved a 1/2 inch over to the length from the height.
helppppppppp.........................
Answer:
you find the solution to each then arrange from smallest to largest and you'll get the answer
Answer:
D
Step-by-step explanation:
A: 2346
B: 357
C: 168
D: 1239
E: 12345
when put in order from smallest to largest, the order is:
C, B, D, A, E
The middle is D, so the answer is D.
Help help math ASAP please thank you I’ll give points to honest answers
Answer:
[tex]\displaystyle y = -2x + 8[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Slope-Intercept Formula:
[tex]\displaystyle 2 = -2[3] + b \hookrightarrow 2 = -6 + b; 8 = b \\ \\ \boxed{y = -2x + 8}[/tex]
I am joyous to assist you at any time.
Need help so much on Circle
Please help me for my geometry honors work please! Thank you
Answer:
x = 95
Step-by-step explanation:
The total degree of a circle is 360. The twp arcs on each side of the parallel lines are equal.
Subtract 135 and 35 from your total
360 - 135 - 35 = 190
Divide your answer by 2
190 ÷ 2 = 95
Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should Caleb expect to
pay in federal income tax?
Answer:
answer will be 5250-------------------------------
[tex]35000 \times \frac{15}{100} = 350 \times 15 = 5250[/tex]
Please help if you can.
Answer:
C
Step-by-step explanation:
Arnold
25
CAR 1:
A monthly produce box is
delivered to Ms. Jones'
door. There is an initial set
up fee of $25.00 plus
$30.00 each week. If Ms.
Jones spent $265, then
how many weeks did she
receive the produce
box?
Amy
30
Answer:
5
Step-by-step explanation:
because it is the right answer
Answer:
8 weeks
Step-by-step explanation:
265-30 = 240
240/30(per week)=8
Answer is 8 weeks