Answer:
D 1
Step-by-step explanation:
i^12
We know i^4 = 1
Rewriting
i^4^3
1^3
1
Answer:
part 1- D. 1
part 2- Square root of -144 =12i
Step-by-step explanation:
Got them correct
please help me with geometry
Answer:
How to improve my geometry?
Part 1 of 3: Getting the Grade
Attend every class. Class is a time to learn new things and solidify the information that you may have learned in the previous class.
Draw diagrams. Geometry is the math of shapes and angles. ...
Form a study group. ...
Know how to use a protractor. ...
Do all of the assigned homework. ...
Teach the material. ...
Do lots of practice problems. ...
Seek extra help. ...
Step-by-step explanation:
Please help to solve this.
Find sin5x,if sinx+cosx=1,4
Answer:
Hello,
Step-by-step explanation:
we must first remember that:
[tex]\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\[/tex]
Let say t=sin(x)
[tex]sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}[/tex]
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
Nedra worked 46 hours and received $6.25 per hour for regular pay and
time-and-a-half for all hours over 40 hours. What were her weekly
earnings?
a. $306.28
b. $379.50
c. $250
d. $56.28
Answer:
$306.25
Weekly earning,
6.25×40+6.25×6×1.5
= 306.25
How??????????????????????
Answer:
y=-1/3x+7
Step-by-step explanation:
y=mx+c
m=-1/3, c=7
y=-1/3x+7
Find perimeter of square with its each side a cm.
Answer:
4cm
Step-by-step explanation:
Each side of the square = 1cm
Perimeter of a square = 4xside
= 4x1 = 4
Answer From Gauth Math
The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers
Answer:
Our three numbers are 8, 48, and 16.
Step-by-step explanation:
Let the first, second, and third numbers be x, y, and z, respectively.
The sum of them is 72. In other words:
[tex]x + y + z = 72[/tex]
The second number y is three times the third number z. So:
[tex]y = 3z[/tex]
And the third number z is eight more than the first number x. So:
[tex]z = x + 8[/tex]
To find the numbers, solve for the system. We can substitute the last two equations into the first:
[tex]x + (3z) + ( x + 8) = 72[/tex]
Substitute again:
[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]
Solve for x. Distribute:
[tex]x+3x+24+x+8=72[/tex]
Combine like term:
[tex]5x + 32 = 72[/tex]
Subtract:
[tex]5x = 40[/tex]
And divide:
[tex]x=8[/tex]
Thus, the first number is eight.
And since the third number is eight more than the first, the third number z is 16.
The second number is three times the third. Thus, the second number y is 3(16) or 48.
Our three numbers are 8, 48, and 16.
HELP
F=3
J=-3
I=2
G=0
H=0
0(0(2(-3(3(1)))))=0
^^i think that is right but I need to show my work and explain
f is a function defined by
{(-3, 1), (-2, 2), (-1, -3), (0, -1), (1, 3), (2, -2), (3, 0)}
so f (1) = 3. Then
h (g (i (j (f (1))))) = h (g (i (j (3))))
j is defined by
{(-3, 0), (-2, 1), (-1, 2), (0, -1), (1, -2), (2, 3), (3, -3)}
so j (3) = -3, and
h (g (i (j (f (1))))) = h (g (i (-3)))
And so on. Next you have i (-3) = 2, then g (2) = 0, and finally, h (0) = 0, so your answer is correct.
- Which of the following is the correct distance between the points (-5, 3) and (7,8)?
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]
[tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]
Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}
Answer:
B. domain {-2, 0, 2}, range {-1, 0, 1}
Step-by-step explanation:
The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)
The domain is the all of the values of x and the range is all the values of y.
Find the value of the variable y that results in congruent triangles
Answer:
y = 5
Step-by-step explanation:
[tex]7y-10=25\\7y=35\\y=5[/tex]
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.
Using technology, what is the equation for the least-squares regression line?
y= –34.13 1.98x
y = 1.98 – 34.13x
y = 17.37 0.50x
y = 0.50 17.37x
I think it's (C) y = 17.37 0.50x --> 100%
Answer:
The answer is (C)
17.37 + .50x
ED2021
Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
A. p || q
B. l || m
C. m || n
D. l || n
Answer:
A
Step-by-step explanation:
based on line p and q
Answer: p || q
Or A
Step-by-step explanation:
good luck
At a concession stand, three hot dog(s) and two hamburger(s) cost $8.00; two hot dog(s) and three hamburger(s) cost $8.25. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog? $_____
Answer:
$1.5
Step-by-step explanation:
Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers
> 3x + 2y = 8
> 2x + 3y = 8.25
The solution is (1.5, 1.75)
-- Check attachment for graph
Find the inequality represented by the graph
I'm using khan academy btw
Answer:
Step-by-step explanation:
slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4
eq. of line is y-0=3/4(x-0)
y=3/4 x
put x=4
y=2
2=3/4×4
2=3
which is true if 2<3
2<3
so y<3/4 x
A rectangular plot has 17 m length and 14 m width. What will be the cost
of fencing at a rate of Rs. 25 per metre?
Answer:
Step-by-step explanation:
perimeter=2(l+w)=2(17+14)=2(31)=62 m
cost of fencing=62×25=1550 Rs.
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answer:
Both are true
Step-by-step explanation:
Both are true
Please help me
(3 more coming soon so if you want points you can do those too when they come out
Answer:
The choose D. 15/16
Step-by-step explanation:
[tex] 1\frac{1}{4} \times \frac{3}{4} = \frac{15}{16} [/tex]
I hope I helped you^_^
find the equation of straight line passes through a point (0 ,- 3 )which makes an angle tan^-1(1/3) with the line 3x- 2Y + 13 =0
Answer:
Step-by-step explanation:
Edit:
y = (7/9)x = 3
9514 1404 393
Answer:
y = 11/3x -3
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...
tan(56.310° +18.435°) = tan(74.745°) = 11/3
The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...
y = 11/3x -3
_____
Additional comment
The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)
The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...
y = 7/9x -3
evaluate -7x^2 -5 + y^2- forx = -2, y=4
Answer:
The (y^2 ) or (y^–2) It is not clear, I solved it in both ways (y^2) and (y^-2) .^_^
[tex] - 7 {x }^{2} - 5 + {y}^{2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{2} \\ - 7( - 4) - 5 + 16 \\ 28 - 5 + 16 \\ = 39[/tex]
_______o_____o_______
[tex] - 7 {x }^{2} - 5 + {y}^{ - 2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{ - 2} \\ - 7( - 4) - 5 + \frac{1}{16} \\ 28 - 5 + \frac{1}{16} \\ = 23.06[/tex]
I hope I helped you^_^
Is the function f(x) = 1/8 ^x an exponent function? If so , identify the base , if not why not ?

Yes , the base is 1/e
yes, the base is e
No, there is no base that is a positive real number not equal to 1 raised to a variable exponent.
No, the base is the reciprocal of e, a number smaller than 1.
9514 1404 393
Answer:
(a) Yes , the base is 1/e
Step-by-step explanation:
The variable is in the exponent, so this is an exponential function.
The base is the number that has the exponent. The base is (1/e).
Answer:
Step-by-step explanation:
bvxbvxbvxbvcvbbb cv
Which is a direct proportion
y = -4
y = 2x + 1
y = 6
y = 2/3x
Answer:
y=2x+1
Step-by-step explanation:
y is directly proportional to x if it increases as x increases
A heating pad takes 8,827 Watts during each time it is turned on. If you only use it for 43 minutes, how much CO2 was created? Round to 1 decimal.
Answer:
6.3 Kwhr
Step-by-step explanation:
Given :
Power = 8827 watts
Time in minutes = 43 minutes
To obtain the amount of CO2 that was created :, which is the energy :
Recall
Energy = power * time
Energy in kw/hr = (8827/100) * (43/60)
Energy = 8.827 * 0.7166666
Energy = 6.326 Kwhr
Drug dosage is frequently based on a patient's weight. For example, 170 milligrams of a certain drug should be administered daily
for every 20 pounds of a patient's weight. Use this information to complete parts
a. What is the daily dosage for a woman who weighs 110 pounds?
Answer: 850.5 milligrams
Step-by-step explanation:
[tex]20*5= 850+.5=850.5[/tex]
That will be your answer please give me brainliest if you can!!!
Derive the explicit rule for the pattern: 3, 0, - 3, - 6, - 9, ...
Answer:
Step-by-step explanation:
a1 = 3
d = -3
an = a1 + (n - 1)*d
an = a1 + (n - 1)*-3
Try it
Let n = 5
a5 = 3 + (5 - 1)*-3
a5 = 3 + 4*-3
a5 = 3 - 12
a5 = - 9 which is exactly what it should be.
The interesting one to try is n = 2
a2 = a1 + (2 - 1)*-3
a3 = 3 + 1(-3)
a3 = 3 - 3
a3 =0
Which is exactly what the second term is. It's interesting because you would never guess that 0 is what you get.
Topic: The Quadratic Formula
Progress:
The movement of the progress bar may be uneven becouse questions can be worth more or less (including zero) depending
your answer
Match each equation on the left with the number and type of its solutions on the right.
x + 3x – 4= 0
two complex (nonreal) solutions
x2 + 3x + 4 = 0
two real solutions
4x² + 1 = 4x
one real solution
Clear
Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your
the target before Feleasing. The target will highlight or the cursor will change. Need help? Watch this vide
Answer:
Step-by-step explanation:
The quadratic formula for a equation of form
ax²+bx + c = 0 is
[tex]x= \frac{-b +- \sqrt{b^2-4ac} }{2a}[/tex]
For the first equation,
x²+3x-4=0,
we can match that up with the form
ax²+bx + c = 0
to get that
ax² = x²
divide both sides by x²
a=1
3x = bx
divide both sides by x
3 = b
-4 = c
. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.
Plugging our values into the equation, we get
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\= -4 or 1[/tex]
as our possible solutions
Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.
Next, we have
x²+3x+4=0
Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\[/tex]
Because √-7 is not a real number, this has no real solutions. However,
(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions
Finally, for
4x² + 1= 4x,
we can start by subtracting 4x from both sides to maintain the desired form, resulting in
4x²-4x+1=0
Then, a=4, b=-4, and c=1, making our equation
[tex]x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2[/tex]
Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution
A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?
Answer:
y = -7x - 16
Step-by-step explanation:
The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:
[tex]-9=-7(-1)+b[/tex]
[tex]-9=7+b[/tex]
[tex]b=-9-7=-16[/tex]
With this, we get the value -16, making the equation y = -7x - 16
One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63
Answer:
Step-by-step explanation:
$425-$300 = $125
$125/(40 hr) = $3.125/hr ≈ $3.13/hr
The quinceañera (the young woman being celebrated)
dances the first part of the waltz first with her father, for
about 60 seconds.
She then dances with her padrino (godfather), for about
20 seconds.
She then dances with each of the chambelanes, the
young men she has chosen to accompany her on her
special day, for about 15 seconds each.
Bárbara's quinceañera is coming up, and she has to
choose a song that will be exactly the right length, so that
she is not stuck dancing by herself at the end of the song.
How long should her song be? Show your thinking
mathematically.
Answer:
2 minutes and 5 seconds
Step-by-step explanation:
60+20+15+15+15= 125 Seconds ( 2 minutes and 5 seconds )
I added three fifteens as I don't know the number of chambelanes.
Hope it helps!
Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10
Answer:
y=3/2x+5
The slope is 3/2 and the y-intercept is 5
Step-by-step explanation:
Solving for y will give us the slope and y-intercept
Isolate y
2y/2=10+3x/2
y=5+3/2x
The slope is 3/2 and the y-intercept is 5
Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points