Answer:
The real solution is [tex]n=6[/tex].
Step-by-step explanation:
[tex]\cos(\frac{\pi}{2})=0[/tex] while [tex]\sin(\frac{\pi}{2})=1[/tex]
So the equation becomes:
[tex]-64=(2(0)+2i(1))^n[/tex]
[tex]-64=(0+2i)^n[/tex]
[tex]-64=(2i)^n[/tex]
We know that [tex]2^6=64[/tex]. So let's see what [tex]n=6[/tex] gives us:
[tex](2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64[/tex].
[tex]-64[/tex] is the result we wanted.
[tex]n=6[/tex] is therefore a solution.
Determine if you have to add or subtract. Then find out y's value and then x's value.
2x+3y=23
-2x+y=13
Answer:
Add
[tex]x=-2[/tex]
[tex]y=9[/tex]
Step-by-step explanation:
To find the value of [tex]y[/tex], we can add the two equations:
[tex]2x+3y+(-2x+y)=23+13[/tex]
[tex]2x+3y-2x+y=36[/tex]
[tex]4y=36[/tex]
[tex]y=9[/tex]
To find for [tex]x[/tex], we can use substitution:
[tex]2x+3y=23[/tex]
[tex]2x+3(9)=23[/tex]
[tex]2x=-4[/tex]
[tex]x=-2[/tex]
∴ [tex]x=-2,y=9[/tex]
Hope this helps :)
Answer:
you add and the value of y is in the attachment
Step-by-step explanation:
HELPPP I SUCK AT MATH
how do I find the answer to -40+(25)-(-80)=?
Answer:
simplify the expression the answer would be 65.
Step-by-step explanation:
hope this helps.
Answer:
65
Step-by-step explanation:
I used a calculator if I used my brain it would be wrong.
Write the equation of a line that is perpendicular to y = -1 and that passes through the point (8,-4)
Idk just answer for brainliest
Answer:
3
Step-by-step explanation:
That's the distance per minute
It takes 72 pounds of seed to completely plant an 11-acre field. How many pounds of seed are needed per acre? poundsperacre
Answer:
6.54lbs per acre
Step-by-step explanation:
72/11
IF THE SUM OF THREE CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)
whats 1 + 1 plz answer
Answer:
2
Step-by-step explanation:
Thanks for the points Kiddo
Given that y-2=6, find y+4
[tex]\huge\red{\boxed{Answer}}[/tex]
Given:
y - 2 = 6To find:
y + 4Solution:
find y⇛y - 2 = 6
⇛y = 6 +2
⇛y = 8
substitute 8 in place of y
⇛y + 4
⇛8 + 4
⇛12
12 is the answer
.
how many times larger is 0.00000600 than 0.00000008
Answer:
100
Step-by-step explanation:
Find the area of the figure
Answer:
56ft
Step-by-step explanation:
can some help me on these questions please!
Answer:
let y=the inner missing angle
y+x+31=180
y+(2x-8)=180
and combine the two
2x-8-x-31=0
x=39
Step-by-step explanation:
Please help me. Thanks! :)
Answer:
Required Answer:-R (-1,5)S (-3,1)T (-7,3)V (-5,7)[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt {(-3-1)^2+(1-5)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-4)^2+(-4)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {16+16}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {32}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf RS=\sqrt{32}[/tex]
____________________[tex]{:}\leadsto[/tex][tex]\sf ST=\sqrt {(-7-3)^2+(3-1)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {(-10)^2+(2)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {100+4}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf ST={\sqrt{104}}[/tex]
___________________[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {(-5-7)^2+(7-3)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-12)^2+(4)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {144+16}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf TV=\sqrt {150}[/tex]
____________________[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {(-5-1)^2+(7-5)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{(-6)^2+(2)^2}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf \sqrt {36+4}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf RV=\sqrt {40}[/tex]
______________________Perimeter =RS+ST+TV+RV
[tex]{:}\leadsto[/tex][tex]\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}[/tex]
[tex]{:}\leadsto[/tex][tex]\sf Perimeter =4\sqrt{20}[/tex]
What is 6 2/3 • -4 1/5
Answer:
28
Step-by-step explanation:
THere are 7 people on the bus, and the bus picks up 4 additional people at each stop. How many stops will it take to have 31 people on the bus?
Answer:
6 stops.
Step-by-step explanation:
The answer is 6 stops, because 4 times 6 is 24 and 24 plus 7 is 31.
Which of the following expressions is equal to -2 · -2 · -2 · -2 · -2 · -2? 6(-2) (-2)6 -26
Answer:
-2
Step-by-step explanation:
2x6= - 2
Answer:
(-2)6
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
To make a quilt, a quilter is buying fabric in two colors, blue and green.
The quilter needs at least 9.5 yards of fabric in total.
The blue fabric costs $9 a yard.
The green fabric costs $13 a yard.
The quilter can spend up to $110 on fabric.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.
Please solve the Inequalities.
Answer:
3.375yards of blue fabric 6.125yards of green fabricStep-by-step explanation:
step one:
given data
blue fabric costs $9 a yard.
green fabric costs $13 a yard.
Let x represent the number of blue yards of fabric purchased and
let y represent the number of green yards of fabric purchased.
Step two:
The quilter needs at least 9.5 yards of fabric in total.
x+y>=9.5--------1
The quilter can spend up to $110 on fabric.
9x+13y<=110----2
from equation
x+y>=9.5
x=9.5-y
put x=9.5-y in equation 2 we have
9(9.5-y)+13y<=110----2
85.5-9y+13y=110
4y=110-85.5
4y=24.5
y=24.5/4
y=6.125
put y=6.125 in x=9.5-y to find x
x=9.5-6.125
x=3.375
Hence the quilt can purchase
3.375yards of blue fabric
6.125yards of green fabric
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.
Hence:
x + y ≥ 9.5 (1)
The quilter can spend up to $110 on fabric. Hence:
9x + 13y ≤ 110 (2)
The solution to the inequality is:
x = 3.375, y = 6.125
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Find out more on inequality at: https://brainly.com/question/241541
Simplify
f(x) = x² + 4
g(x)= xº + 5x - 1
find
f(x)- g(x)
A comparison of two quantities by divison
IV. Describe the following rotations
PLS HELP ASAP
Answer:
90 degree rotation counterclockwise, or a 270 degree rotation clockwise.
A particle moves along a line so that its position at any time is t greater than or equal to 0 is given by s(t)=-t^2+t+2 where s is measured in meters and t is measured in seconds. A) what is the initial position of the particle? B) find the velocity of the particle at any time t. C) find the acceleration of the particle at any time t. D) find the speed of the particle at the moment when s(t)=0.
Answer:
A) The initial position of the particle is 2 meters.
B) The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].
C) The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].
D) The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.
Step-by-step explanation:
A) From statement we know that [tex]s(t) = -t^{2}+t+2[/tex], where [tex]t[/tex] is the time, measured in seconds, and [tex]s(t)[/tex] is the distance, measured in meters. The initial position of the particle is calculated by evaluating the function presented above at [tex]t=0\,s[/tex]. That is:
[tex]s(0) = -(0)^{2}+(0)+2[/tex]
[tex]s(0) = 2\,m[/tex]
The initial position of the particle is 2 meters.
B) According to the Theory on Kinematics, we see that velocity is the rate of change of position in time. In other words, we need to derive the equation once:
[tex]v(t) =-2\cdot t +1[/tex] (1)
Where [tex]v[/tex] is the velocity, measured in meters per second.
The velocity of the particle at any time t is represented by [tex]v(t) =-2\cdot t +1[/tex].
C) And the acceleration is the rate of change of velocity in time. In other words, we need to derive the equation above:
[tex]a(t) = -2[/tex] (2)
The acceleration of the particle at any time t is represented by [tex]a(t) = -2[/tex].
D) At first we solve the function position for [tex]s = 0[/tex], that is:
[tex]-t^{2}+t+2=0[/tex] (3)
[tex](t-2)\cdot (t+1)=0[/tex]
The only reasonable root of the polynomial is [tex]t = 2\,s[/tex].
And now we evaluated the velocity function at given result:
[tex]v(2) = -2\cdot (2) +2[/tex]
[tex]v(2) = -2\,\frac{m}{s}[/tex]
The velocity of the particle at the moment when [tex]s(t) = 0\,m[/tex] is -2 meters per second.
i dont understand please answer seriously will give brainliest
8. Center
As the location of the center of the circle is (3, 3).
Therefore, the coordinates of the center are (3, 3)9. Endpoints of a diameter
As we know that the diameter is the magnitude (often called the length) of the line through the center.
Please note that the diameter touches two points on the edge of the circle. Diameter is often called the longest possible chord.From the diagram, it is clear that:
The points of the diameter are (6, 3) and (0, 3).Also, observe the length of a diameter is 6 units.
10. A point of Tangency
We know that at the point of Tangency, the tangent to a circle will always be perpendicular to the radius.
From the diagram, it is clear that:
(6, 3) is the point of tangency. Here the tangent is perpendicular to the radius.11. Endpoints of a chord that is not a diameter
A chord is basically a line that touches two points.
From the diagram, it is clear that:
The coordinates of the chord other than the diameter are (3, 0) and (0, 3).12. Endpoints of a radius
We know that a radius is basically a straight line from the center of a circle to the circumference of a circle.
The length of a radius r = diamter length/2
From the diagram, it is clear that:
The coordinates of the endpoints of the radius are (3, 3) and (6, 3) Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biweekly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?
Answer:
Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.
38,350 / 26 = her salary from last year per check.
46,462 / 26 = her new salary per check
(46,462 - 38,350) / 26 = the difference per week
a. last year Beth's biweekly salary was 1597.91 dollars.
b. This year Beth's biweekly salary is 1935.91 dollars.
c. On a biweekly basis she earns 338 dollars more now as a result of her promotion.
How to convert months into bi-weeks ?One months contains 2 bi-weeks therefore to convert months into bi-weeks we have to multiply the given months by 2.
According to the given question
Last year Beth's annual salary was 38350 dollars.
∴ Her monthly salary was (38350/12) dollars.
= 3195.83 dollars.
She is being paid biweekly meaning twice a month in every two weeks interval.
∴ Her biweekly amount is
=(3195.83/2) dollars
= 1597.91 dollars. (a).
So, her salary last year was 1597.91 dollars biweekly.
This year she received a promotion and now earns 46462 dollars per year.
∴ Her biweekly salary is
= (46462/2×12) dollars. ( as there is 2 bi-weeks in every months)
= 1935.91 dollars. (b).
As a result of her promotion she earns (1935.91 - 1597.91) dollars more as a result of her promotion.
= 338 dollars.
Learn more about These type of problems here :
https://brainly.com/question/13672307
#SPJ2
Round 621.97 to tens place. What is It?
Answer:
622
Step-by-step explanation:
The 7 rounds up the .9, adding 1 to the ones place, making it 622
Answer:
620
Step-by-step explanation:
As they said TENS ( and not TENTHS ) place, the 1 ( in ones position) determines the answer hence 620.
Write an equation in slope-intercept form for the line with y-intercept 1 and slope 3.
Answer:
y= 3x + 1
Step-by-step explanation:
Answer:
y=3x+1
Step-by-step explanation:
Z1 and Z2 are complementary. The mZ1 = 25°. What is the mZ2?
Answer:
65°Step-by-step explanation:
Complementary means that the two angles add to 90 degrees. Since we know the measure of one angle, we will subtract 25 from 90 to get 65 degrees for angle 2.
Enter the equation of the line in slope-intercept form.
The line parallel to y =
5
4
x + 8 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = ???
Answer:
typing this answer to get points hope u get ur answer soon :)
Step-by-step explanation:
Please Help Me With This Please!
Answer:
d:113 sq in
Step-by-step explanation:
Elijah buys a one-pint bottle of juice for $2.88. What is the unit rate of the cost of the juice per fluid ounce?
Answer: 20
Step-by-step explanation:
12