Answer:
b/c any real number to the power of zero is one
Step-by-step explanation:
let a be any real number then
a^0=1
what is 15/4 as a whole number i've never been good at this and could us help
Answer:
3
Step-by-step explanation:
15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.
What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29
Answer:
y= -1/4x - 11/2
y= 3/7x - 29/7
In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970
B. 1969
Step-by-step explanation:
Hope it helped you! :) (Please correct me if I'm wrong.)
a^1/2 x a^3/2 divide (a^3)^4
Answer:
3x
Step-by-step explanation:
If car number plates have 3 English alphabet letters followed by 3 digits, how many of these start with ABC?
Answer:
351520000
Step-by-step explanation:
351520000
Explanation:
There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).
Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.
Hence, by the multiplication principle, the total different number of letter permutations is
26
×
26
×
26
=
17576
and the total number of digit permutations is
10
×
10
×
10
=
1000
But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination
6
C
3
=
6
!
(
6
−
3
)
!
3
!
=
20
So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.
Therefore by the multiplication principle, the total possible different number plates is
17576
×
1000
×
20
=
351520000
For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.
Answer:
C. a= -1, m=1
Step-by-step explanation:
hope i helped, have a great day :)
For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.
What are Asymptotes of a Function?There are asymptotes like horizontal, vertical and oblique asymptotes.
Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.
Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.
The given function is,
f(x) = [tex]\frac{2x^m}{ x + a}[/tex]
Horizontal asymptote of this function is at y = 2.
lim x → ∞ f(x) = 2
lim x → ∞ [tex]\frac{2x^m}{ x + a}[/tex] = 2
Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.
lim x → ∞ [tex]\frac{2x^m}{ x }[/tex] = 2
For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.
⇒ [tex]x^m[/tex] = [tex]x[/tex]
⇒ m = 1
Vertical asymptote of the function is at x = 1.
Let x + a = 0
⇒ 1 + a = 0
⇒ a = -1
Hence we get the values a = -1 and m = 1 for the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.
To learn more on Asymptotes, click :
https://brainly.com/question/4084552
#SPJ5
3m^2 + 5n; if m = -4 and n = -13
Answer:
3m^2 + 5n = 3
Step-by-step explanation:
3(16) + 5(-13) =
48 - 45 =
3
What is (-i)^3
A. -i
B. i
C. -1
D.1
Answer:
i
Step-by-step explanation:
=> -i³
=> (-1 . i )³
=> -1³ . i³
=> -1 [ i² . i ]
=> -1 [ (√-1)² . i ]
=> -1 [ -1 . i ]
=> i
Answer:
B: i
Step-by-step explanation:
Algebric explanation: as long as you remember power rules you should be good:
[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]
Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].
Polar explanation Courtesy of euler's identity.
[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]
How do you solve the equation 4a+b=12
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*a+b-(12)=0
Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties
Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000
b-intercept = 12/1 = 12.00000
When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000
a-intercept = 12/4 = 3
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -8.000/2.000 = -4.000
Geometric figure: Straight Line
Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000Answer:
Step-by-step explanation:
Without having a numerical value for a (or b), you can't "solve this equation."
You can, however, solve it for either a or b, but not both.
For a: Subtract b from both sides. This results in 4a = 12 - b. Dividing both sides by 4 isolates a:
12 - b
a = --------------
4
For b: Subtract 4a from both sides. Then: b = 12 - 4a
PLS HELP WILL MARK BRAINLIEST!!
Answer: A
Step-by-step explanation: I used my mind (lie), u good
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
14.7$
Last year, the school's electric bill
was $1.740. If the bill was the same
price each month, how much did
the school spend on electricity each
month? ASAP!
Answer:
AINT NOBODY CARES ABOUT SCHOOL
but the amount they spent each month was 145$
what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)
Answer:
88
Step-by-step explanation:
Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.
[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]
Perimeter has to be [tex]8\times 11 = 88[/tex]
what is 84 divided by -12
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step expla
-7 times -12 is 84
Candy is sold out in 4 pound bags. How many full
Find the value of y. Only type the "number."
Y = 5
The triangle is a right triangle so use the Pythagorean theorem:
Y = sqrt(3^2 + 4^)
Y = sqrt(9 + 16)
Y = sqrt(25)
Y = 5
25 points and brainliest for correct answer pls
A = lw
A = 9
9 = lw
9 = (x + 2)(x + 3)
9 = x² + 3x + 2x + 6
9 = x² + 5x + 6
x² + 5x = 3
Answer:
A = lw
A = 9
9 = lw
9 = (x + 2)(x + 3)
9 = x² + 3x + 2x + 6
9 = x² + 5x + 6
x² + 5x = 3
Step-by-step explanation:
F(x)=-x^2-12 to find (-3)
Answer:
[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]
Step-by-step explanation:
[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]
• When x is -3:
[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]
I suck at math help ill give brainliest
Answer:
3
Step-by-step explanation:
5x + 40 = 55
5x = 55 - 40
5x = 15
x = 15 / 5
x = 3
Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?
Answer:
Gummy bears $3.20/lbs
Jelly beans $7.50/lbs
Step-by-step explanation:
For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):
1.8x + 0.6y = 10.26
1.2x + 1.5y = 15.09
Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)
in the difference in altitude between 2,993 feet on a mountain peak and −428 feet on a valley floor
what is the difference in altitude per feet
Can someone help?? Sooo hard
Answer:
Step-by-step explanation:
Easy pie bro
Name: Kakashi Sensei
loraine walked 4 miles up, riana walked 3 miles right, the distance between them wil be the hypotenusa which is probably 5, yes? It forms a right triangle:
dist² = 3² + 4²
dist² = 9 + 16
dist² = 25
dist = [tex]\sqrt{25}[/tex]
dist = 5
now draw that triangle on the grid and there you go
Lots of points!! picture explains everything!
Answer:
16/100 or 8/50 or 4/25
Step-by-step explanation:
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
Find out more at: https://brainly.com/question/18563587
Select all ratios equivalent to 3:5
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
N
Step-by-step explanation:
Answer:
n
Step-by-step explanation:
Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?
Answer:
she keeps 270
Step-by-step explanation:
have of 600 is 300 10 percent of 300 is 30
300-30 is 270
5% of ______ is 10
_____ % of 100 is 12
Step-by-step explanation:
let the number represent X
5/100xx=10
5x/100=10
then you cross multiply
5x=100x10
5x=1000
divide both sides by 5
X=1000/5 =200
Show all work
which of the following lines is parallel to 2y=3x-1?
a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3
Answer:
c. 4y=6x+8
Step-by-step explanation:
For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).
The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.
b. y=0.5x-1.5
c. y=1.5x+2
d. y=3x+4
e. y=2/3x-1
As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.
