Answer:
The wave equation utt − uxx = 0 is hyperbolic. The Laplace equation uxx + uyy = 0 is elliptic.
What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)
Answer:
please answer me binary number multiply 11010 multiply 101
For the equation, x - 7 = 24, can a value be substituted for x to make the equation a true number sentence?
Answer:
yes, 31
Step-by-step explanation:
just switch the equation around:
24+ 7 = 31
and then back again:
31- 7= 24
Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
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Answer:
Step-by-step explanation: I also need help
integers
simplify
17-{19-2(1+3)}
Answer:
6
Step-by-step explanation:
Use PEMDAS
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Problem: 17 - {19 - 2(1 + 3)}
Step 1:
17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}
Step 2:
17 - {19 - 2 x 4} = 17 - {19 - 8}
Step 3:
17 - {19 - 8} = 17 - 11
Step 4:
17 - 11 = 6
If this is correct please give me brainliest.
is 5.15 x 6√7 rational or irrational
Answer:
81,75
Step-by-step explanation:
you will use BODMAD
Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
Which shape fits the description below?
A six-sided figure with three pairs of parallel sides.
X.
Y.
Z.
OA. The shape is nonexistent.
ОВ.
Y
OC. Z
D. X
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
Tìm nghiệm và vẽ đường thẳng biểu diễn tập nghiệm của nó
a 2x+y=6
Answer:
1111111111111111111111111111111111111111
Step-by-step explanation:
Which equation has the correct sign on the product?
A. (-11)9 = 99
B. (-12)(-12) = 144
C. 17 x 3 = -51
D. 25(-5) = 125
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
A. (-11)9 = 99 Negative * positive = negative
B. (-12)(-12) = 144 negative * negative = positive
C. 17 x 3 = -51 positive * positive = positive
D. 25(-5) = 125 positive* negative = negative
Answer:
B. (-12)(-12) = 144
Step-by-step explanation:
Write an equation of a line that is perpendicular to the line x - 4y = 12 and passes through the point (2,3)
Answer:
y = - 4x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 4y = 12 ( subtract x from both sides )
- 4y = - x + 12 ( divide terms by - 4 )
y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
To find c substitute 2, 3 ) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 4x + 11 ← equation of perpendicular line
The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).
By rearranging x - 4y = 12 in the form, y = mx + c;
we have; y = (x/4) - 3
The slope, m1 from here is (1/4)
The product of the slopes of two perpendicular lines is;
m1 × m2 = -1Therefore slope, m2 = -1/(1/4)Slope, m2 = -4Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;
-4 = (y - 3)/ (x - 2)By cross product; we have;
-4x + 8 = y - 3y + 4x = 11.
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Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?
Answer:
$2,295
Step-by-step explanation:
Meghan = x
Crystal = x + 135
[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]
[tex]8 \times (x + 135) = 3x[/tex]
[tex]8x + 1.080 = 3x[/tex]
[tex]1.080 = x[/tex]
Meghan got $1,080
[tex]1.080 + 135 = 1.215[/tex]
Crystal got $1,215
[tex]1.080 + 1.215 = 2.295[/tex]
$2,295 money was shared.
what does it mean when a chance event has a probability of 4/4
Answer:
When the probability of something happening is 4/4, it means that the probability of that thing happening is 1
When the probability of an event happening is 1, it means that that the event is going to happen and there is no chance of the event not happening.
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
Answer:
1.6
Step-by-step explanation:
an integer is defined as any positive or negative whole number.
1.6=16/10=8/5 . This is a fraction
0 is a whole number
8 is a whole number
-15 is a whole number
pls mark as brainliest. Thanks
Find x. Simplify completely.
х
9
10
Answer:
10
Step-by-step explanation:
geometric mean theorem :
h = sqrt(pq)
p, q being the segments on the Hypotenuse of the right-angled triangle.
so, x = sqrt(9×10) = 3×sqrt(10)
p- (9-(m + q)); use m=4, p=5, and q=3
Answer:
3
Step-by-step explanation:
p-(9-(m+q))
5-(9-(4+3))
=5-(9-7)
=5-2
=3
4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
find the cube of a+3
Answer:
(a+3)^3
a^3 + b^3 + 3ab [identity : (a+b)^3 )]
a^3+ 3^3 + 3×a×3
a^3 +27+9a
answer : a^3+27+9a
hope it helps you
mrk me braniliest plz
Answer:
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Step-by-step explanation:
[tex](a + 3 {)}^{3} [/tex]
[tex] {a}^{3} +3 {a}^{2} \times 3+3a \times {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +3a× {3}^{2} + {3}^{3} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+ {3}^{2} [/tex]
[tex] {a}^{3} +9 {a}^{2} +27a+27[/tex]
Hope it is helpful...arrange 7 people into group(s) such that a group must have at least 3 people?
7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.
how many zeros are in the product of any nonzero whole number less than 10 and 500?
Answer:
The product of 500 and any of these number will contain 2zeros
2(k+ 4) = 3(k-2)
HELP PLEASE
Answer:
k = 14
Step-by-step explanation:
k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable
Answer:
k=14I'm pretty sure this is the correct answer hope it helps :)
Giving Brainliest
what is 4(5+2) divided by 2?
Answer:
[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]
I hope I helped you^_^
PLEASE HELP COMPARING RATIOS
Step-by-step explanation:
lena=45/5=9 laps per min
ann= 40/4=10 laps per min
Carmen=56/8= 7 laps per min
the fastest = ANN
HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring
Answer:
1. Factor
2. Multiply
3. Division
Step-by-step explanation:
If cosine theta equals two over three, what are the values of sin θ and tan θ?
Answer:
what
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 then
sin²x = 1 - cos²x
sin x = ± [tex]\sqrt{1-cos^2x}[/tex]
Given cos θ = [tex]\frac{2}{3}[/tex] , then
sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]
Also
tanθ = [tex]\frac{sin0}{cos0}[/tex]
= [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]
more algebra............
Answer:
C
Step-by-step explanation:
this is the answer since it involves a minus sign
Hiii! can someone please help me with my maths question
Form a quadratic equation and find the length of AB
Step-by-step explanation:
a^2 + b^2 = c^2
(x+2)^2 + 4x^2 = (3x+4)^2
(x+2)(x+2)+ 4x^2= (3x+4)(3x+4)
x^2 + 2x + 2x + 4 + 4x^2 = 9x^2 + 12x + 12 x + 16
5x^2 + 4x + 4 = 9x^2 + 24x + 16
-4x^2 - 20x - 12 = 0
now we can use the quadratic formula
(-b±√(b²-4ac))/(2a)
I can't type all this so
.....
x = -0.697224362 or -4.302775638
AB can't be negative so it's the first one
so it's equals to 1.302775638
simplify the problem thank you
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]