Answer:
Step-by-step explanation:
(1 + 2i) / (1 + i) Rationalize the denominator.
(1 + 2i)(1+i) / (1 + i)(1-i) Remove the brarckets
(1 + i + 2i - 2) / (1 - i + i - i^2) Combine
-1 + 3i / (2) i^2 = - 1 in the denominator
if 75% think the action is morally wrong, and we say there are 249 million adults in the country, how many believe that the action is morally wrong?
Answer: 186.75 million which is the same as saying 186,750,000
Work Shown:
75% = 75/100 = 0.75
75% of 249 million = 0.75*249 million = 186.75 million
186.75 million = 186.75*10^6 = 186,750,000
Answer:
186,750,000
Step-by-step explanation:
Take 75% of 249 million
.75 * 249,000,000
186,750,000
What is the remainder when 62,710 is decided by 541
Answer:
the quotient is is 115.915 and the remainder is 495
Step-by-step explanation:
Hope it helps you
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In the diagram below, circle O has a radius of 10. If the measure of arc AB is 72°, find the area of shaded sector AOB, in terms of π. Show all your work that leads to the final answer.
Answer:
62.8
Step-by-step explanation:
Area of sector=(pi*r^2)*(theta/360)
Area of sector=(pi*100)*(72/360)=62.8
The area of the shaded sector AOB in terms of π is 20π units squared.
How to find area of a sector?
The area of a sector can be described as follows;
area of sector = ∅ / 360 × πr²
where
r = radius of the circleTherefore,
r = 10 units
∅ = 72°
Hence,
area of the sector = 72° / 360° × π10²
area of the sector = 7200 / 360 π
area of the sector = 20π units²
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how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
A rectangluar swimming pool 25 feet long, 15 feet wide, and 7 feet deep is filled with water to a depth of 6 feet. The weight density of water is 62.4 lb ft 3 lb/ft^3. Calculate the work required to pump all of the water out over the top.
___________ ft-lb
9514 1404 393
Answer:
491,400 ft·lb
Step-by-step explanation:
The mass of the water is ...
M = Vρ = LWHρ = (25 ft)(15 ft)(7 ft)(62.4 lb/ft³) = 163,800 lb
The average depth is 3 ft, so the work required is equivalent to that required to raise this mass 3 ft.
W = (3 ft)(163,800 lb) = 491,400 ft·lb
g (1) = ?
Evaluate piecewise functions
Answer:
g(1) = 1
Step-by-step explanation:
g(1) with x = 1 corresponds to x ≠ - 2, - 1 with g(x) = x³ - x² + 1 , then
g(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1
Answer:
g ( 1 ) = 1
Step-by-step explanation:
→ Substitute x = 1 into x³ - x² + 1
( 1 ) ³ - ( 1 )² + 1
→ Simplify
1 - 1 + 1 = 1
A trader bought a bag for one hundred and twenty five.he later sold it at a profit of Thirty percent what was his selling price
Answer:
I can’t really explain this bc i did it mentally, but i got 162.5
Help!!! QUICK! What is the pattern of the exponents on the a terms in Pascal's Triangle?
A. The largest exponent value of the a terms is equal to one more than the value of the exponent on the binomial. The exponent values then decrease from left to right.
B. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values then decrease from left to right.
C. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values are then equal to 0 throughout the expansion.
D.The largest exponent value of the a terms is equal to one more than the value of the exponent on the binomial. The exponent values are then equal to 1 throughout the expansion.
Answer:
B. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values then decrease from left to right.
Step-by-step explanation:
The exponent values of the a terms increase from one side of the binomial to the other. The value of the largest exponent is equal to part of the binomial expression.
Please Help Me!!! (WORTH 60 POINTS) Will Give Extra points out
Answer:
√11 cm
Step-by-step explanation:
Pythagorean Thereom
a^2 + b^2= c^2
x^2 +5^2=6^2
x^2 + 25 = 36
subtract 25 from both sides
x^2=11
do the square root
x = √11
a number has 7 at the tens place .there is zero in the thousand place. the number 5 is at the hundreds place .there is number 1at the ten thousand place..what is the number?
How to write -.04 as a fraction?
Answer:
[tex]0.04 = 4 \div 100 [/tex]
1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.
Answer:
Step-by-step explanation:
The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
What is 9,000,000 + 8,000 + 90,000,000 + 100 + 2 + 90,000 + 90 in standard form?
Answer:
i thank its 4000
Step-by-step explanation:
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The sales tax for an item was $18.40 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
item cost x sales tax rate = sales tax
460 x sales tax rate = 18.40
sales tax rate = 18.40/460
sales tax rate = .04 or 4%
You can often use geometric figures to model objects in the real world. You can transfer your knowledge of the properties of these figures to better understand and describe the objects that they represent. For each shape the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences, the Internet, newspapers, magazines, or other resources to uncover examples.
Geometric figures are basically figures that have a boundary. The geometric figures and their real life examples are:
Rectangular prism: Building block, Gift box, CabinetTriangular prism: Tomblerone, Triangular roofs, Camping tentsCylinder: Pencil holders, Toilet paper rolls, Drink cansCone: Funnel, Party hat, Traffic conePyramid: Pyramids of Egypt, Pyramid roof, Pyramid tentsSphere: Soccer ball, Golf ball, PlanetsTo determine the real life object of each geometric figure, we simply identify objects that have similar features as the geometric figure.
For instance, a rectangular prism has 6 rectangular faces; building blocks, some gift box and cabinets also have 6 rectangular faces.
So, these three real life objects can be used as examples of a rectangular prism.
When the above explanation is applied to the other geometric figures, we come up with the following list:
Triangular prism: Tomblerone, Triangular roofs, Camping tentsCylinder: Pencil holders, Toilet paper rolls, Drink cansCone: Funnel, Party hat, Traffic conePyramid: Pyramids of Egypt, Pyramid roof, Pyramid tentsSphere: Soccer ball, Golf ball, PlanetsRead more about geometric figures at:
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In the photo are a couple possible answers you could use.
True or False. A rational number can be expressed as the quotient a/b where b ≠ 0
Answer:
true. A rational number can be expressed as the quotient a/b where b ≠ 0
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
c
Step-by-step explanation:
use the distributive property to expand the expression:
-2(9 + 32n)
-2*9 + (-2*32n)
-18 - 64n
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.
My room is made up of four walls, both the floor and the ceiling are rectangular in shape.
There are four walls in my room. The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.
To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.
Area = L * W
where
L = length
W= width
But if you have a square floor and ceiling, the area of a square is
Area = s²
given that it is side * side.
In conclusion, there are 4 walls in every room. The shape of the ceiling or floor could be a rectangle or a square. It depends on your room and its measurements. To get the area, multiply the length by the width.
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Evaluate the expression 2x-xy if x= -1/2 and y=8
Answer:
3
Step-by-step explanation:
2x-xy
2(x)-(x)(y)
2(-1/2)-(-1/2)(8)
-1 - (-4)
-1 + 4
3
Answer:
3
Step-by-step explanation:
2x-xy
Let x = -1/2 and y = 8
2(-1/2) - (-1/2)(8)
Multiply
-1 - (-4)
Subtracting a negative is like adding
-1+4
Add
3
Write an expression to show the total cost of an
item x with a 35% discount.
65/100 * x or 0.65 * x
Jackson gets $3,600 worth of new toy cars each toy car is worth $18 how many toy cars did Jackson get
Answer:
200 I think
Step-by-step explanation:
A cylinder Container must
hold al or 2,000 cm3 of
liquid, which of the following
is the optimazation equation
in terms of the radius r.
if the anaunt of material
used to make the container
is to be minimized?
Pls Help ASAP..................
Answer:
1. 8+(30/(2+4)) = 8+(30/6) = 8+5 = 13
2. ((8+30)/2)+4 = (38/2)+4 = 19+4 = 23
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
23:
(8 + 30) ÷ 2 + 4
13:
8 + 30 ÷ (2 + 4)
please give me the brainliest if u can
what's the standard answer for (5×1)+(7×.2)+(2×0.4)
9514 1404 393
Answer:
7.2
Step-by-step explanation:
The order of operations tells you that quantities in parentheses are evaluated first.
(5×1)+(7×.2)+(2×0.4) = 5 + 1.4 + 0.8
Then the addition is performed, left to right.
= 6.4 +0.8
= 7.2
_____
Your calculator can work this problem for you, if necessary.
Which expression corresponds to this graph?
Answer: Choice A
The number line graph is visually showing every number that is 19 or smaller; hence [tex]x \le 19[/tex]
Note the use of a closed or filled in circle at the endpoint (in contrast to an open circle). This indicates we are including the endpoint 19 as part of the solution set, and that's why we go for "or equal to" as part of the inequality sign.
I add 7 to a certain number. I double the result. My final answer is 34. What was my number?
Answer:
answer is 10
explanation
when u add 7 with 10 u get 17 then double of 17 is 34
I hope It helps
It is found that the unknown number was 10.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. The addition is one of the mathematical operations. then the addition of two numbers results in the total amount of the combined value.
Given that "I add 7 to a certain number. I double the result. My final answer is 34".
Let consider the number be 10.
When we add 7 with 10 we get;
7 + 10 = 17
then double the result of 17 = 34
Hence, the unknown number was 10.
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If P is (-5, 4) and Q is (7, -5), what is 2/3 of that?
Answer: 10
Step-by-step explanation:
Sqrt (7- -5)^2+(-5-4)^2 =
Sqrt (12)^2+(-9)^2 =
Sqrt 225 = 15
2/3 * 15 = 30/3 = 10
Problem E2 Moving points B and C are on circle x² + y2 = 25. Let A be (2,0) and M be mid-point of BC. If BAC is a straight line, what is the locus of M?
Answer:
Step-by-step explanation:
The perpendicular bisector of any chord is a diameter and therefore passes through the center of the given circle.
The triangle OMA is thus rectangle.
The locus of M is the circle of diameter OA with center (1,0) and radius 1.
A jet travels 500 kilometers in 40 minutes with a tail wind. Returning, the jet takes 50 minutes to cover the same distance. What is the rate of the plan and the speed of the wind?
Answer:
675 km/hr and 75 km/hr
Step-by-step explanation:
Let the speed of plane in still air be x and the speed of wind be y.
ATQ, (x+y)*(40/60)=500 and (x-y)*(50/60)=500. Solving it, we get x=675 and y=75
answer this question fast with steps and I'll mark brilliantest
Answer:
825g and 3108g respectively
Step-by-step explanation:
Nitrogen needed for 2kg compound=275g
Nitrogen needed for 6kg compound=825g
Sulphur needed for 2kg compound=1036g
Sulphur needed for 6kg compound=3108g
