Osama buys some notebooks and some pens.
Each notebook costs $12 more than each pen.
The total cost of 5 notebooks and 2 pens is $64.20.
Find the cost of one pen.
Answer:
$2.10
Step-by-step explanation:
12*5=60
64-60.20=4.20
4.20 is for 2 pens
4.20/2=2.10
=$2.10
When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist
Answer: 5 1/3
Step-by-step explanation:
Given z = 4 (cos (pi/ 2) + i sin (pi/2 ) ) , what is z3?
a)12 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )
b)64 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )
c)12 (cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) )
d)64 (cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction) )
Answer:
D
Step-by-step explanation:
The value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.
What is a complex number?A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.
For the given situation,
The complex number, z = 4 (cos (pi/ 2) + i sin (pi/2 ) )
[tex]z=4(cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )[/tex]
⇒ [tex]z^{3}=4^{3} (cos(\frac{\pi }{2} ) + isin (\frac{\pi }{2} ) )^{3}[/tex]
By De Moivre's theorem,
[tex]{\displaystyle {\big (}\cos x+i\sin x{\big )}^{n}=\cos nx+i\sin nx}[/tex]
Thus, [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex]
Hence we can conclude that the value of z^3 is option (D) [tex]z^{3}=64 (cos(\frac{3\pi }{2} ) + isin (\frac{3\pi }{2} ) )[/tex] is the correct answer.
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Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression
Answer:
Part A
Step-by-step explanation:
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
Of all the items on the pizza, enter the fraction that is mushrooms.
---------------
Answer:
2/3
Step-by-step explanation:
A cheetah ran 60/4 and a gazelle ran 100/8 which won is higher
Answer:
The cheeta is slow, the gazelle
Step-by-step explanation:
The cheeta x2 is 120/8 making the gazelle higher
Answer:
Cheetah
Step-by-step explanation:
One: Cheetah's have always been known as the fastest animals on earth.
Mathematically:
60 / 4 = 15 (cheetah)
100 / 8 = 12.5 (gazelle)
15 is higher than 12.5
What is the equation of the line shown in this graph?
Answer:
y = 1
hope that helps you
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+242x+73
Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
[tex]y=-16x^2+242x+73[/tex]
We ned to find the time when the rocket will the ground. For this, y = 0
[tex]-16x^2+242x+73=0[/tex]
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = -16, b = 242 and c = 73
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]
Neglecting negative value.
So, it will hit the ground in 15.42 s.
Answer:
t = 15.42 s
Step-by-step explanation:
At Springfield Middle School, there are n 7th graders, and p% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p
Answer:
(1-0.01p)/n
Step-by-step explanation:
Mathematically;
Percentage of student playing at least one sport = 100% - Percentage of students playing no sport
Mathematically, that would be;
Percentage playing no sport = 100% - p%
So, to find this in n 7th graders
we have;
(100-p)/100 * n
= 100-P/100n = 1/n - P/100n
= 1/n - 0.01p/n
= (1-0.01p)/n
A punch recipe calls for 6 quarts of juice. If the recipe is tripled, how many gallons of juice will be needed
A : 18
B: 9
C: 4 1/2
D : 3
I need help on this thx
The price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased?
Answer: 25 percent
Step-by-step explanation:
The price of the medicine was increased by 50%.
Given,
The price of some medication was increased from $8 to $12.
We need to find by what percentage the price of the medicine increased.
How do we find a percentage increase?The formula used is given as:
Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100
Find the initial amount.
= $8
Find the final amount.
= $12
Find the percentage increased.
= ($12 - $8) / $8 x 100
= 4/8 x 100
= 1/2 x 100
= 50%
Thus the price of the medicine was increased by 50%.
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should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?
Use both!
You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.
P = 8/x + 2x
dP/dx = -8/x² + 2 = 0
8/x² = 2
x² = 8/2 = 4
x = ± √4 = ± 2
You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²P/dx² = 16/x³
When x = -2, the second derivative is negative, which means there's a relative maximum here.
When x = 2, the second derivative is positive, which means there's a relative minimum here.
So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.
What is the annual interest for a principle of $3,500 at a simple annual interest rate of 2.3%?
Answer:
80.5
Step-by-step explanation:
is the point (-2,3) a solution to y<2x+1?
Answer:
No it is not
Step-by-step explanation:
Plug it in
3 < 2(-2) + 1
3 < -4 + 1
3 < -3
3 is not less than -3
A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet and the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.
Answer:
The area of the building in terms of y in its simplest form is 12(y + 2)
Step-by-step explanation:
Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.
So, the area of the building in terms of y is A = LW
= (4y + 8) × 3
Factorizing out 4 from the expression, we have
= 4(y + 2) × 3
= 12(y + 2)
So, the area of the building in terms of y in its simplest form is 12(y + 2)
Aubrey wants to save money to purchase a new bicycle that costs $275. If she saves $5 per week, how many weeks will it take Aubrey to have enough money to purchase the bicycle?
Answer:
55
Step-by-step explanation:
275/5=55
PQR is an isosceles triangle in which PQ=PR
M and N are points on PQ and PR such that angle MRQ=angle NQR
Prove that triangles QNR and RMQ are congruent
9514 1404 393
Explanation:
∠MRQ ≅ ∠NQR . . . . given
QR ≅ RQ . . . . reflexive property
∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR
ΔQNR ≅ Δ RMQ . . . . ASA postulate
Can you tell me whether this represents a function or not? (For both questions, just say ‘Yes or No’)
Answer:
No for both
Step-by-step explanation:
If 2 x values that are the same but different y values for them then its not a function
What is the estimated product?
86 × 32
Answer:
2,752
Step-by-step explanation:
86x32 = 2752
Product: It means to multiply.
Answer:
I believe the estimated product is 2749
Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’
Answer:
Step-by-step explanation:
Remark
Moving 6 points left is not going to alter the slope (or it shouldn't).
The x value has to have 6 subtracted from it. Leave the y value alone.
Givens
C: (-5-6,8) = (- 11,8)
D: (2-6,5) = (-4,5)
Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (8 - 5)/(-11 - - 4)
m = 3 / - 7
m = - 0.429
Check
Let's find the slope of the original points.
(8 -5)/(-5 - 2) = 3/-7 which is the same thing.
What are the vertical asymptotes of 10/X-1
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)
f
(
x
)
=
10
x
2
−
1
Find where the expression
10
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
Since
10
x
2
−
1
→
∞
as
x
→
−
1
from the left and
10
x
2
−
1
→
−
∞
as
x
→
−
1
from the right, then
x
=
−
1
is a vertical asymptote.
x
=
−
1
Since
10
x
2
−
1
→
−
∞
as
x
→
1
from the left and
10
x
2
−
1
→
∞
as
x
→
1
from the right, then
x
=
1
is a vertical asymptote.
x
=
1
List all of the vertical asymptotes:
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
2
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
The vertical asymptotes of the given function are x = 1 and x = -1,
We have given the rational function is 10/(x²-1).
We need to find the vertical asymptotes of this function.
Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.
To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.
x²-1=0
x²=1
x=±√1
x=±1
Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.
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PLEASE ANSWER ASAP For the Christmas and holiday season, every student in Mrs. Perri’s class decided to send a card to each student in the class and to Mrs. Perri. There are 31 students in the class. How many cards were sent that day?
giving brainliest h e l p
Answer:
She can buy 1 bullitin board.
Step-by-step explanation:
1347 divided by 75 is 17.96
I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.
Find the slope of the line containing the pair of points.
(-8,-2) and (6,3)
Answer:
5/14
Step-by-step explanation:
3--2=5
6--8=14
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
Can someone help me with this pls?
Answer:
1/4 is the simplest form
Step-by-step explanation:
Answer:
MARK ME BRAINLIEST MARK ME BRAINLIEST
MARK ME BRAINLIESTMARK ME BRAINLIEST
1.
A. SSS
B.T SAS
C. ASA
D. AAS
E. HL
F.. Not
Answer:
ASA
Step-by-step explanation:
please help please help please help please help please help please help please help please help
Abigail wants to attend a community college. Suppose x represents the number of credits she takes and y represents her total fees in dollars. Which of these statements are correct? Select all that apply.
A.
If tuition amounts to $125 plus $150 per credit, the function that would model this situation is y = 150x + 125.
B.
If tuition amounts to $200 plus $175 per credit, the function that would model this situation is x = 175y + 200.
C.
If tuition amounts to $175 plus $150 per credit, the function that would model this situation is y = 175x + 150.
D.
If tuition amounts to $250 plus $275 per credit, the function that would model this situation is x = 250y + 275.
E.
If tuition amounts to $225 plus $200 per credit, the function that would model this situation is y = 200x + 225.
F.
If tuition amounts to $100 plus $125 per credit, the function that would model this situation is y = 125x + 100.
Answer:
ddddddddddxdddxsddddddddD
Step-by-step explanation:
i hope it helps you