Answers
Answer:
2nd option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Simplifying the radical
[tex]\sqrt{-80}[/tex]
= [tex]\sqrt{16(5)(-1)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]
= 4 × [tex]\sqrt{5}[/tex] × i
= 4i[tex]\sqrt{5}[/tex]
Then
6 + [tex]\sqrt{-80}[/tex]
= 6 + 4i[tex]\sqrt{5}[/tex]
Related Questions
Find the equation of the line passing
through the points (2, 4) and (3,2).
Answers
Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
Answers
b) 1:3
2/3 of the class are girls, so 2:3. That leaves 1/3 of the class as boys, so 1:3 ratio.
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
Answers
Can someone help me with this?
Answers
Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Answer:
$19.52
Step-by-step explanation:
29.99 x 0.60 = 17.994, (60% of 29.99)
1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)
Miguel made $286 for 13 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answers
Answer:
Step-by-step explanation:
The key here is to find out how much he makes per hour. We can find that out using the info given.
286 = 13x so
x = 22 dollars per hour. For 7 hours of work then,
7(22) = $154
Find the unit rate of dollars per hour:
286 ÷ 13 = 22
So the unit rate is $22 per hour of work
Either way, the answer is right
Hope this helps!
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
Answers
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
Find out more information about system of inequalities:
https://brainly.com/question/19526736
#SPJ2
4days : 2 weeks simplify
Answers
Answer:
2:7
Step-by-step explanation:
ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.
Answer:
2 : 7
Step-by-step explanation:
7 days = 1 week
y days = 2 weeks
[tex]\frac{1}{7} :\frac{2}{y}[/tex]
1 × y = 2 × 7
y = 14
4 days : 14 days
4 = 2 × 2
14 = 2 × 7
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
2 : 7
Complete the sentence:
The intersection of a circle and a triangle can be
A. Six Points
B. Twelve Points
C. Eight Points
D. Circle
Answers
Answer:
A. Six Points
Step-by-step explanation:
Use the following to write and solve a proportion to find the values of X, Y and Z.
Answers
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
If a ⋆ b = ab² - a²b, then 2 ⋆ 3 = i don't kno the answer
Answers
Hello,
We know that :
a * b = ab² - a²b
We know that : 2 * 3 = 6 but we want to try this formula.
We have :
a = 2 and b = 3
So :
2 * 3
= 2 * 3² - 2² * 3
= 2 * 9 - 4 * 3
= 18 - 12
= 6
It works :)
He average price of a home in a neighborhood of mostly leased properties is $259,000. The average monthly rent is $2,500. One home in the neighborhood is leased for $2,800. Using a GRM, what is the value of that home?
Answers
Answer:
$290,080
Step-by-step explanation:
Given:
Average price = 259,000
Average monthly rent = 2500
Monthly rent of home = $2800
Gross Rent Multiplier = price per monthly rent
GRM = Price / monthly rent
The GRM = 259000 ÷ 2500
= $103.60
The price = GRM * Monthly rent
Price = $103.60 * $2800
Price = $290,080
5x+y=1
10x-6=34
pleasee
Answers
Answer:
=>x=4
therefore y= -19
Answer:
x = 4, y = - 19
Step-by-step explanation:
Given the 2 equations
5x + y = 1 → (1)
10x - 6 = 34 → (2) , which can be solved as
10x = 40 ( divide both sides by 10 )
x = 4
Substitute x = 4 into (1) and solve for y
5(4) + y = 1
20 + y = 1 ( subtract 20 from both sides )
y = - 19
An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.
Answers
Answer:
Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.
so 96/120
48/60
24/30
12/15
so the answer is 12/15
Can you guys help me pleaseeeee!
Answers
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.
Answers
Answer:
The answer is "Option C".
Step-by-step explanation:
In this question, the distance value is -5 that's why option c is correct.
Answer:
C. Jasmine gave a negative answer for distance.
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.
Answers
Answer:
a) x = 8.29 cm
D) V = 1125.27 cm³
Step-by-step explanation:
a) We can solve the equation as follows:
[tex] 2x + 5x - 58 = 0 [/tex]
[tex] 2x + 5x = 58 [/tex]
[tex] x = \frac{58}{7} = 8.29 [/tex]
D) The volume of the box is given by:
[tex] V = l*w*h [/tex]
Where:
l: is the length
w: is the width
h: is the height
The length of the rectangular box is:
[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]
The width is x = 8.29 cm.
And the height is:
[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]
Hence, the volume is:
[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]
I hope it helps you!
A hot air balloon is released and it rises at a speed of 15 mph. A
weather pattern introduces a wind headed west at 20 mph. The
hot air balloon is now redirected. What is the new direction of the
hot air balloon?
Answers
Answer:
The direction is 37 degree north of west.
Step-by-step explanation:
velocity of balloon, v = 15 mph upwards
velocity of wind, v' = 20 mph west wards
The direction is given by
[tex]tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west[/tex]
The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answers
Answer:
Step-by-step explanation
the answee
simplify
x - ( - 6 x )
Answers
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
given f(x)=2/5(6-x)^2 what is the value of f(6)?
Answers
Answer:
0
Step-by-step explanation:
f(x) = 2/5(6 - x)²
f(6) = 2/5[6 - (6)]²
f(6) = 2/5(0)²
f(6) = 0
Can anyone solve this for me pls
Answers
Answer: I'm pretty sure the answer is 78.90
Step-by-step explanation:
When x = 1 and y = –2, z =
Answers
Answer:
No solution is possible from the information provided
Step-by-step explanation:
Please help us help you by including enough information to answer your question.
Answer:
z = -10
Step-by-step explanation:
trust me
Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Answers
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
there are 105 teachers in a school 19 more are femal than male how what is the proprtion of female teachers
Answers
Explanation: 105 - 19 = 86 (Find out how much the college would have without the more)
86 ÷ 2 = 43 (Find out male and female teachers in a seperate way without more)
43 + 19 = 62 (Female teachers)
lines that intersect and form four right angles are called?
Answers
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Saint Xavier school is the national swimming
champion. There are many students. The meet
results for the students is shown below. What is the
highest % of silver medal winners from the two
groups?
- 600 boys won a silver medal out of the 1500 boys.
- 750 girls won a silver medal out of the 1400 girls.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
The Group Of Girls.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the boys' percentage...}}\\\\\rightarrow \frac{600}{1500}\\\\\rightarrow 0.4\\\\\rightarrow 0.4 * 100\\\\\rightarrow \boxed{40\%}\\------------\\\boxed{\text{Calculating the girls' percentage...}}\\\\\rightarrow\frac{750}{1400}\\\\\rightarrow 0.53571428571...\\\\\rightarrow 0.53571428571... * 100\\\\\rightarrow \boxed{53.57\%}\\------------\\\\53.57\% > 40\%[/tex]
⸻⸻⸻⸻
The girls should have a higher percentage from the two.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the system of equations:
(1) x - y = 3
(2) 7x - y = -3
Answers
Answer:
x= 70
and y = 67 then
-70-67 =-3
Answer:
x=-1 y=-4
Step-by-step explanation:
answer is in the photo above
You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?
Answers
31.5/45x100= 70%
You got the shirt 70% discounted.
I am not too sure if it’s correct though, I might be wrong.
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Answers
Answer:
angle X + angle Y < 90°
Step-by-step explanation:
sum of angles of triangle is 180 ° ,
Answer:
because mZ > mX + mY
[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]
help plss i don't get it can yall plz help
Answers
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.