Given:
Consider the expression is:
[tex]\sqrt{-9}[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]\sqrt{-9}[/tex]
It can be written as:
[tex]\sqrt{-9}=\sqrt{-1\times 9}[/tex]
[tex]\sqrt{-9}=\sqrt{-1}\times \sqrt{9}[/tex]
[tex]\sqrt{-9}=i\times 3[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-9}=3i[/tex]
The expression [tex]3i[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer
Answer:
A and C are functions.
The domain is x and the range is y
Step-by-step explanation:
Each x - value can have only one y -value
Function= unique x-values
Y can be the same answer but the X has to be different
5x+8y=535
how many is x and how many are y
Answer:
x= -8y / 5 +107
y = 535 - 5x / 8
Step-by-step explanation:
5x+8y=535
Subtract 8y from both sides.
5x=535−8y
Divide both sides by 5.
5x / 5 = 535 - 8y / 5
Dividing by 5 undoes the multiplication by 5.
x= 535−8y / 5
Divide 535−8y by 5.
x= -8y / 5 +107
5x+8y=535
Subtract 5x from both sides.
8y=535−5x
Divide both sides by 8
8y / 8 = 535 - 5x / 8
Dividing by 8 undoes the multiplication by 8.
y = 535 - 5x / 8
Hope this answer helps you :)
Have a great day
Mark brainliest
This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.
Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.
The approximate areas of the continents (excluding North America) are as follows:
- Australia: 11 million km^2
- Europe: 15 million km^2
- Antarctica: 18 million km^2
- South America: 26 million km^2
- Africa: 44 million km^2
- Asia: 66 million km^2
To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).
1. Australia:
Percentage: 5%
Approximate area: 0.05 * 220 million km^2 = 11 million km^2
2. Europe:
Percentage: 7%
Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)
3. Antarctica:
Percentage: 8%
Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)
4. South America:
Percentage: 12%
Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)
5. Africa:
Percentage: 20%
Approximate area: 0.20 * 220 million km^2 = 44 million km^2
6. Asia:
Percentage: 30%
Approximate area: 0.30 * 220 million km^2 = 66 million km^2
Note: These values are rounded to the nearest million square kilometers.
For more such questions on continents
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Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.
Answer:
48
Step-by-step explanation:
3 ⋅ 2^t
3 * 2^4
3*16
48
What is the value of the expression, written in standard form?
Answer:
200
Step-by-step explanation:
6.6/3.3 = 2
10^-2 / 10^-4 = 10^2
10^2 = 100
2 x 100 = 200
You purchase 75 shares of stock at $15 per share. The next day the stock drops 3%; however, a week later it increases in value by 7%. If you immediately sell your 75 shares, how much will you gain or lose (a) in dollar amount and (b) in percent?
Answer:
You have gained $43 and the value increased by 3.8%
Step-by-step explanation:
You would 75 times 15 = $1125
then you would do 1125 times 97% = 1091.25
now you would do 1091.25 times 107% = estimation of 1168
then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%
You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%
Discover the rate of change (slope) of these two points. (-4,5) and (5,-4).
Answer:
-1
Step-by-step explanation:
y2-y1/x2-x1
-4-5/5- -4
-9/9
-1
1. In the diagram below, segment AB is tangent to circle C at point D and
AC LBC. If m
Answer:
∠ DCB = 28°
Step-by-step explanation:
∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then
∠ DCB = 90° - 62° = 28°
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
what is the answer pleaseee
Answer:
7
Step-by-step explanation:
In most cases the first step is to create an equation to solve for the missing variable
But in this case we are already given the equation
(7.25h + 5 = 6.5h + 10.25)
All we have to do is solve for h
7.25h + 5 = 6.5h + 10.25
Step 1 subtract 5 from both sides
7.25h = 6.5h + 5.25
Step 2 subtract 6.5h from both sides
0.75h = 5.25
Step 3 divide both sides by .75
h = 7
So at 7 hours the cost will be the same for both instructors
A floor tile is made in the slope of a rectangular polygon the sum of all the interior angles is 1080° if each side is 10cm find perimeter
Given:
Sum of all the interior angles of a regular polygon is 1080°.
Measure of each side is 10 cm.
To find:
The perimeter.
Solution:
The sum of all interior angles of a regular polygon with n side is:
[tex]S=(n-2)180^\circ[/tex]
Sum of all the interior angles of a regular polygon is 1080°.
[tex]1080^\circ=(n-2)180^\circ[/tex]
[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]
[tex]6+2=n[/tex]
[tex]8=n[/tex]
Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:
[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]
[tex]\text{Perimeter}=8\times 10[/tex]
[tex]\text{Perimeter}=80[/tex]
Therefore, the perimeter of the regular polygon is 80.
To be considered abnormal height a 30 year old must be 1.2 feet below average or 1.2 feet above
average. If the average height is 5.1 feet, at what heights (in interval notation) would a 30 year old
be considered abnormal?
M
Answer:
The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).
Step-by-step explanation:
Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.
Hope this helped!
a) Use one of these symbols <, > or = to make each statement true.
(i) 18.4
| 18.04
(ii) 0.7
35
50
b) Round 173528 to the nearest hundred.
c) Write
as a decimal.
Answer:
(i) 18.4 > 18.04
(ii) 0.7 < 50 > 35
b) 173500
c) 173500
Step-by-s tep explanation:
(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.
(ii) Simple less than < greater than > skills.
b) Simple rounding.
c) The answers stays the same; rounding cannot be completed using JUST whole numbers.
ZA=
Round your answer to the nearest hundredth.
С
A
?
5
8
B
Answer:
∠A = 38.68°
Step-by-step explanation:
[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]
The measure of the ∠A in this right-angled triangle is, 38.68°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 5/8.
Ф = sin⁻¹(5/8).
Ф = 38.68°.
learn more about trig ratios here :
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How many liters are equivalent to 25 ml
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
What is an equation of the line that passes through the points (-5,6) and (7,6)?
A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
Work out the size of angle x
Pls help thx !
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?
Answer: 500
Step-by-step explanation:
Given
6 g butter is required to make a cupcake
If there is 3 kg butter
We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm
No of cup-cakes made
[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]
HII GUYS DON'T WORRY I ONLY HAVE 3 MORE QUESTIONS LEFT I'M SO SORRY FOR BOTHERING YOU GUYS I'M SORRY THANK YOU FOR THE PEOPLE WHO HELP ME. <3
Answer:
Hello! answer: 96
Step-by-step explanation:
I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...
6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!
I need help to find the value please
Answer:
13.928
Step-by-step explanation:
Pythagorean theorem. 13^2 + 5^2 = x^2
Answer:
this is easy
Step-by-step explanation:
valve of x is 30 add 13 into 30 = 43÷5 5/8
Nvm, I know it's KM for this one y'all.
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
A jewelry box has a volume of 240 in cubic in. Its height is 12 inches, its width x in inches and its length ( x + 8) inches.
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
Write the expanded form of the given expression.
(x^4)(x^4)
Answer:
[tex]x^{8}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]x^{4}[/tex] × [tex]x^{4}[/tex] = [tex]x^{(4+4)}[/tex] = [tex]x^{8}[/tex]
What would it be I got it wrong ?
PLEASE HELP
IT SAYS IN PROGRESS BUT ITS COMPLETED WHAT DO I DO???!!!!
Answer:
click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed
Step by step pls thanks
The choose (d)
1/2(x+1)
x²–25/x²+6x+5 / 2x-10
(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)
Remove (x+5) from the first fraction
(x-5)/(x+1) / 2(x-5)
(x-5) / 2(x-5)(x+1)
Remove (x-5)
1/2(x+1)
I hope I helped you
Good luck ^_^
Please helppppppp me
Answer:
13
Step-by-step explanation:
< W = <V Given
WV = 8 Given
XV = 13 Given
Find XW
In an isosceles triangle if you are given the length of one of the sides opposite one of the two equal angles, then the side opposite the other equal angle is equal to the given side.
In sort XV = 13. < V = <W XW = 13
(Four-fifths + three-fifths) + 3.5 times 5
Answer:
18.9
Step-by-step explanation:
First, lets solve for the fractions. You can divide the fractions from the top, to their bottom (4 divided by 5, 3 divided by 5), in this case, you get 1.4. Now you have to rewrite the problem: 1.4+3.5x5. You solve it, and get 18.9.
Answer:
18.9
Hope that this helps!
does anyone get this ?
Answer and Step-by-step explanation:
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1
Since we know this, we can go to the last instance of the multiply of 4.
For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.
D. -1 -- This is the answer.
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