Answers
We can write it as:
[tex] \sqrt{-1} \times \sqrt{80} [/tex]
Apply imaginary number rule:
[tex] \sqrt{-1} =i[/tex]
We get
[tex] =\sqrt{80} i[/tex]
Now factorise 80.
80=4 x 4 x 5 = 4² x 5
[tex] \sqrt{80}i = \sqrt{4^2 \times 5} i [/tex]
[tex] =\sqrt{4^2} \times \sqrt{5} i \\ =4 \sqrt{5} i[/tex]
[tex]Answer: \ 4 \sqrt{5} i[/tex]
We then have to rewrite:
root (-80)
root (- (16 * 5))
4raiz (-5)
Then remember that:
Root (-1) = i
We have then:
4raiz (5) i
Answer:
The equivalent expression is:
4raiz (5) i
(option 3)
Related Questions
Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000 and use at least 320 workers to build cars and motorbikes.
8000C+5500M≤75000 represents the number of cars C and motorbikes M the company can build by spending at most $75000.
52C+38M≥320 represents the number of cars and motorbikes the company can build by using at least 320 workers.
Can the company meet both of its expectations by building 4 cars and 6 motorbikes?
Answers
8000*4 +5500*6 = 65000 ≤ 75000 . . . true
52*4 +38*6 = 436 ≥ 320 . . . . . . . . . . . . . true
Yes, the company can meet both its expectations by building 4 cars and 6 motorbikes.
Of course, another way to work this is to draw the graph and see if the offered point is in the feasible region. It is.
Factor completely. a2+3a−28 Enter your answer in the box.
Answers
5.11 find the probability of a couple having a baby girl when their third child is born, given that the first two children were both girls. assume boys and girls are equally likely. is the result the same as the probability of getting all girls among three children?
Answers
Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari saw 42 sparrows. How many birds did he count in all? Enter your answer in the box. A pie chart depicting a count for bird species. Cardinals are at 13 percent, Sparrows are at 35 percent, Chickadees are at 23 percent, Blue Jays are at 8 percent, Woodpeckers are at 4 percent, and Robins are at 17 percent.Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari saw 42 sparrows. How many birds did he count in all?
Answers
Answer: 120
Hope This Helps ^_^
Write -3r+3u in polar form PLEASE HELP
Answers
-3r+3u
Step 1
Use the distance formula to find the radius
r = √(x^2 + y^2)
(x,y)----------> (-3,3)
r= √(-3^2 + 3^2)=√18=3√2
Step 2
Use the tangent to find the angle
θ = arctan(y/x)
θ = arcTan(3/-3)= -45°-------> II Quadrant
then
θ=180-45=135°
Step 3
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)
the answer is (3√2, 135°)
What Is 7 minutes after 1? And what is 23 minutes after 4?
Answers
Answer: 7 minutes after 1 is 1:07 and 23 minutes after 4 is 4:23
Step-by-step explanation: Please mark me brainliest ✨
Good luck on whatever you’re working on!
Find the volume of the cylinder if the diameter is 6 inches and the height is three times the radius. Round your answer to the nearest hundredth.
The equation for volume is V = pi*r^2*h
I got 169.73
Answers
Volume is pi(3.14) * 3^2 * 9 = 254.34
Which is a possible number of distinct real roots for a cubic function? Select all that apply.
0
1
2
3
4
Answers
I don't know how to explain, but 3
Answer: The answer is 1 and 3.
Step-by-step explanation: We are to select the correct options about the number of real roots of a cubic function.
We know that there are three roots of a cubic function, out of which one must be real because the least number of real roots of an odd degree function is 1.
Also, if the second root is real, then the third one must also be real because the complex roots of a function occur in pairs.
Therefore, there is one real root or three real roots for a cubic function.
Thus, the answer is 1 and 3.
Perform the indicated operation.
(w 3 + 64) ÷ (4 + w)
w² - 4w - 16
w² + 4w - 16
w² - 4w + 16
THE ANSWER IS:
w^2 - 4w + 16
The reason I included the correct answer in the question is that this question was not yet asked and I felt that some people might need to know this. Feel free to answer the question and get the points! :)
Answers
Thanks for the points :)
w^2 - 4w + 16
tytytytytyty
What is the value of x? Enter your answer in the box. x = . Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 99.2 feet, G D equals 62 feet, D H equals left parenthesis x plus 2 right parenthesis feet, and E H equals 112 feet.
Answers
.. (x+2)/112 = 62/99.2
.. x +2 = 112*62/99.2 = 70
x = 68 . . . . feet
Answer:
The value of x is 68 ft.
Step-by-step explanation:
Given information: [tex]\angle GED\cong \angle DEH[/tex]
Bisector of an angle of a triangle theorem states that an angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.
In triangle FEH, ED is an angle bisector
[tex]\frac{EH}{EG}=\frac{DH}{GD}[/tex]
[tex]\frac{112}{99.2}\times 62=x+2[/tex]
[tex]70=x+2[/tex]
[tex]70-2=x[/tex]
[tex]68=x[/tex]
Therefore the value of x is 68 ft.
PLS PLS PLS help I am rly confused
Answers
The sum of the square of a positive number and the square of 3 more than the number is 45. what is the number?
Answers
sum= add
more than= add
is= equal sign
square of= multiply the # by itself
x^2 + (x+3)^2= 45
x^2 + (x+3)(x+3)= 45
x^2 + x^2 + 3x + 3x + 9 = 45
combine like terms
2x^2 + 6x + 9= 45
subtract 9 from both sides
2x^2 + 6x= 36
reduce by dividing everything by 2
x^2 + 3x= 18
subtract 18 from both sides
x^2 + 3x - 18= 0
factor
(x+6)(x-3)= 0
x+6= 0
x= -6
x-3=0
x= 3
The question asks for the POSITIVE integer, so...
ANSWER: x= 3
Hope this helped! :)
The positive integer is [tex]3[/tex]
Let the number be [tex]a[/tex]
square of [tex]a = a^{2}[/tex]
Square of [tex]3[/tex] more than [tex]a[/tex] = [tex](3+a)^{2}[/tex]
[tex](3 + a)^{2} = (3+a)(3+a) = 9 + 3a + 3a + a^{2} = a^{2} + 6a + 9[/tex]
[tex]a^{2} + a^{2} + 9a + 9 = 45[/tex]
[tex]2a^{2} + 6a + 9 = 45[/tex]
Subtract 9 from both sides :
[tex]2a^{2} + 6a = 45 - 9[/tex]
[tex]2a^{2} + 6a = 36[/tex]
Divide through by 2
[tex]a^{2} + 3a = 18\\a^{2} + 3a - 18 = 0[/tex]
Factorize :
[tex]a^{2} + 6a - 3a - 18 = 0\\a(a + 6) - 3(a + 6) = 0\\a + 6 = 0\\or\\a - 3 = 0[/tex]
[tex]a = 3 ;\\or\\a = - 6[/tex]
since, a is a positive integer, then [tex]a = 3[/tex]
Learn more : https://brainly.com/question/18796573
Learn more : https://brainly.com/question/18796573
how do you solve FOIL problems for algebra 1
Answers
These refer to the position of terms in the parentheses and the order they are multiplied.
Example:
(x+1)(x+2)
multiply first positions (far left)
(x*x)
then multiply the two outside
(x*2)
multiply inside terms
(1*x)
multiply last terms (far right)
(1*2)
Solution to example:
(x+1)(x+2)
(x*x)+(2*x)+(1*x)+(1*2)
combine terms
x^2+3x+2
Hope this helps! :)
Will mark brainiest
My teacher says everything is there to answer this question but I don't know. Someone please explain.
Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.
How far do they walk and at what time do they reach the top of the hill?
Answers
d = distance
r = rate of speed
time to walk uphill : t1 = d/3
time to walk downhill: t2 = d/6
total distance = 2d ( up hill and down ill)
2d = (d/3 + d/6)r
2/(1/3 +1/6) = r
r = 4
average speed up and down the hill was 4 mph
total distance = (2/3 x 6 x 4) + (1/3 x 6 x 4)
total distance = 16 + 8 = 24 miles total
Average speed to top of hill = 2/(1/4 +1/3) = 3.43 mph
to top of hill = 24/2 = 12 miles
12 / 3.43 = 3.5 hours
12 oclock + 3.5 hours = 3:30
total miles was 24
arrived at top of hill at 3:30
time to walk downhill: t2 = d/6
total distance = 2d ( up hill and down ill)
2d = (d/3 + d/6)r
2/(1/3 +1/6) = r
r = 4
average speed up and down the hill was 4 mph
total distance = (2/3 x 6 x 4) + (1/3 x 6 x 4)
total distance = 16 + 8 = 24 miles total
Average speed to top of hill = 2/(1/4 +1/3) = 3.43 mph
to top of hill = 24/2 = 12 miles
12 / 3.43 = 3.5 hours
12 oclock + 3.5 hours = 3:30
total miles was 24
arrived at top of hill at 3:30
Jackson currently has $35 in his bank account , he is saving $15 a week to eventually buy a new cell phone. He can represent the amount in his account with the equation y=15x+35.
I also need help answer the other questions to
Answers
Answer:
1. We have our function y = 15x + 35
a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.
b) Where the y represents the total money he has, which is the dependent variable.
c) the slope is 15, as x increments, the slope goes up by 15.
d) The y-intercept is 35, because when x = 0, y = 35.
2. To create the table you have to find the value of y, knowing the values of x.
Using our function, when x = 0
y = 15(0) + 35
y = 0 + 35
y = 35
Using our function, when x = 1
y = 15(1) + 35
y = 15 + 35
y = 50
Using our function, when x = 2
y = 15(2) + 35
y = 30 + 35
y = 65
Using our function, when x = 3
y = 15(3) + 35
y = 45 + 35
y = 80
Using our function, when x = 4
y = 15(4) + 35
y = 60 + 35
y = 95
Using our function, when x = 5
y = 15(5) + 35
y = 75 + 35
y = 110
Yes, the table is proportional, because for each week, the value of his money is increasing by 15.
3. To create the graph, you can put the values of the table into the graph
And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.
In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,
after a week: $50,
after two weeks: $65,
So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.
In oder to join a yoga club there is a $100 annual fee and a $5 fee for each class ytouattend. Write an equation in slope-intercept form that models this situation.
Answers
___
5 being the daily fee, and x being each day you attend. Multiply these.
What value of x is in the solution set of –2(3x + 2) > –8x + 6?
Answers
Answer:
The answer is 6
Step-by-step explanation:
I just took the test
Elevii clasei a IV-a se informeaza despre preturile unor obiecte:3 aparate foto de acelasi fel si un laptop costa 2700lei,iar 5 aparate foto si 2 laptopuri,de acelasi fel ca primele costa,4900lei.Cat costa un aparat foto?Dar un laptop?Prin metoda compaatiei va rog !!!!!!! URGENT !!!!!!
Answers
Using elimination:
3c+l=2700
5c+2l=4900
We will make the coefficients of l the same by multiplying the top equation by 2:
2(3c+l=2700)
6c+2l=5400
Our system is now
6c+2l=5400
5c+2l=4900
Subtract the bottom equation:
6c+2l=5400
-(5c+2l=4900)
We have
1c=500
So each camera is 500.
Substitute that in our original first equation:
3(500)+l=2700
1500+l=2700
1500+l-1500=2700-1500
l=1200
:)If Dani has 5,054 of a certain item and she needs to collect 6,000 of it, how much more does she need to reach her goal? :) Just for fun lol
Answers
Find the surface area of the rectangular solid.
l=16 in, w=13 in, h=15in.
Surface area is in inches and to the 2nd power.
Answers
.. A = 2(LW +LH +WH)
.. = 2(LW +H(L +W))
.. = 2((16 in)(13 in) +(15 in)*(16 in +13 in))
.. = 2(208 in^2 +435 in^2)
.. = 1286 in^2
The surface area of the prism is 1286 in^2.
A rectangle has a a perimeter of 72 ft. The length and width are scaled by a factor 3.5.
What is the perimeter of the resulting rectangle?
Enter your answer in the box.
Answers
P=2(L+w)
P=2L+2w
Here Perimeter, p= 72 ft
And scale factor of length and width=3.5 which means rectangle is enlarged.
So perimeter of rectangle= 3.5 x 72
P=252ft
Answer: 252 ft
We also know that the perimeter P of the rectangle is defined as:
P=2L+2W.
So P is directly proportional to L+W. This means that if L or W were to get bigger, P will get bigger, and if L or W were to get smaller P will get smaller.
The question also states that both L and W are scaled by the same factor of 3.5 .
This means the sum of the dimensions L+W is scaled by 3.5
It also means that the perimeter is upscaled by 3.5 as it is proportional to L+W.
P = 72 ft × 3.5 = 252 ft.
252 ft is the answer.
A woman walks 100 yards east along a straight shoreline and then swims 30 yards south into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position polar coordinates. Round the coordinates to the nearest hundredth. Express θ in degrees. (11.40, –88.28°) (104.40, –88.28°) (11.40, –16.70°) (104.40, –16.70°)
Answers
Tan θ = 30/100
θ = 16.70, but since it is in an anticlockwise direction it will be -16.7
using Pythagoras theorem
a²+b²=c²
thus, c²=100²+30²
c = √(100²+30²)
= 104.40.
Therefore,the current position coordinates will be
(104.40, -16.70°)
Need help with this too, all connected
Answers
#6 B. 6:2
#7 C. 25%
#8 If the veterinarian treats 50 dogs in a week, they would treat 10 reptiles in the same amount of time.
banananana help me i need you
Answers
Pentagon; Regular
----------------------------
The second question shows something that obviously is not a square nor rectangle, so by process of elimination Parallelogram is your answer.
Parallelogram
Answer:
Banananana. How do you know that person?
Step-by-step explanation:
Compare the domains of the logarithmic function f(x) and the square root function g(x).
Graph of f(x):
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/al2_9_20a_media02.gif
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/img_alg02u09c03q25d_02.gif
In two or more complete sentences, explain whether or not the domains of the two functions are the same.
Answers
Simplify Expression-
11. (n^4)^8
13. (q^10)^10
15. (x^3)^-5
17. (z^8)^0z^5
19. (c^3)^5(d^3)^0
@Phebe
Last one i promise lol
Answers
You can solve them simply multiplying the exponents.
Remember that any quantity raised to the zero is equal to 1.
.
11) (n^4)^8 = n^(4×8) = n^32
13) (q^10)^10 = q^(10×10) = q^100
15) (x^3)^-5 = x^[3×(-5)] = x^(-15)
17) (z^8)^0z^5 = z^(8×0) z^5 = z^0 z^5 = 1×z^5 = z^5
19) (c^3)^5(d^3)^0 = c^(3×5) d^(3×0) = c^15 d^0 = c^15×1 = c^15
Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3
Answers
[tex](1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)[/tex]
Using the properties of exponents, we have:
[tex](1.12*6.06)(10^10) \\=6.7872*10^10[/tex]
Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
[tex](2*10^1)(3*10^1) \\=(2*3)(10^1*10^1) \\=6*10^2[/tex]
[tex](2.775*10^-^4)(4.775*10^4) \\=(2.775*4.775)(10^-^4*10^4) \\=(2.775*4.775)(10^0) \\=(2.775*4.775)(1) \\=2.775*4.775=13.250625=1.3250625*10^1[/tex]
[tex]5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3[/tex]
Answer:
The answer is A and D,I did this on usatestprep
Step-by-step explanation:
Help please got to finish khan academy I’m really confused
Answers
= 64^(t^3)*(64^(-1/2))^t . . . . change the sum of exponents to a product
= 64^(t^3)*(1/√64)^t . . . . . . negative exponent signifies inverse, 1/2 power is sqrt
= 64^(t^3)/8^t . . . . . . . . . . . simplify
= (4^3)^(t^3)/8^t . . . . . . . . . .replace 64 with 4^3
= 4^(3t^3)/8^t . . . . matches the first selection only
Which measure describes how all of the values of a data set vary with a single number?
A) mean
B) median
C) mode
D) range
Answers
hope this helps<3
Answer:
The answer is d. range.
WILL GIVE BRAINLIEST!!! 12 POINTS!!!!!!
The table below represents the height of a shot basketball, f(x), based on its horizontal position in relation to the basket, x.
x f(x)
-24 7
-20 12
-16 15
-12 16
-8 15
-4 12
0 7
If all quantities are in feet, what is the height of the basketball as it passes the hoop?
Answer: _____ feet
Answers
_________________________________________________
Note: This is the value of "f(x)" when "x = 0" .
_________________________________________________