Answer:
Total cost for curtains = Rs.3,700
Step-by-step explanation:
Assume we have:
1 Door ( l = 8ft, b=4ft)
3 Windows (l = 4t, b = 3.5ft)
Curtains at the rate of Rs.50 per ft²
Find:
Total cost for curtains.
Computation:
Area of door = (8)(4)
Area of door = 32 ft²
Area of 3 windows = (3)(4)(3.5)
Area of 3 windows = 42 ft²
Total ares = Area of door + Area of 3 windows
Total ares = 32 ft² + 42 ft²
Total ares = 74 ft²
Total cost for curtains = Rs.50 × Total ares
Total cost for curtains = Rs.50 × 74 ft²
Total cost for curtains = Rs.3,700
Solve x^2 + 4x + 8 = 0
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
A test consists of 580 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers? Round the answer to the nearest hundredth.
Answer:
12.04
Step-by-step explanation:
Because the questions are true and false, that is, there are only two answer options, therefore, you have a success probability = 1/2 = 0.5
The standard deviation can be calculated as follows:
Standard Deviation = (n*p* (1-p)] ^ (1/2)
replacing we have:
SD = (290 * (1-0.5)] ^ (1/2) = 12.04
That is, the standard deviation is 12.04
Weekly demand for cell phones at a Best Buy store is normally distributed, with a mean of 300 and a standard deviation of 200. The supplier takes two weeks to supply a Best Buy order. Best Buy is targeting a CSL of 95 percent and monitors its inventory continuously. How much safety inventory of cell Chopra, Sunil. Supply Chain Management (What's New in Operations Management) (p. 346). Pearson Education. Kindle Edition.
Answer:
The amount of safety inventory of cell phones best buy should carry is $465.277
Step-by-step explanation:
Solution
We recall that:
The weekly demand for cell phones= 300 per week
The Standard Deviation = 200 per week
The lead time or number of weeks = 2 weeks (14 days)
Thus,
Z = 95%
= 1.645
Now,
The standard deviation of lead time = Standard deviation√ *√ lead time
Which is
= 200 * √ (2) =2.82.843
So,
The safety inventory = Z * Standard deviation of the lead time
= 1.645 * 2.82.843
$465.277
Which system of inequalities is graphed below?
-5
10 horeses are for sale and 46 are not for sale write a fraction represating the portion that are for sale, then reduce your fraction if necessary
Answer:
Step-by-step explanation:
A group of 8 students paid $48.24 for food at a picnic whats each persons share
Answer:
Each persons share is 6.03
Step-by-step explanation:
Divide the total cost by the number of students
48.24 / 8
6.03
Each persons share is 6.03
Answer:
$6.03
Step-by-step explanation:
A group of 8 students paid $48.24 for food.
Each of their shares would be divided among the 8 students.
48.24/8=6.03
Each student paid a share of $6.03.
A tree that is 40 feet tall casts a 30 foot shadow. At the same time another tree casts a 20 foot shadow. How tall is the second tree?
Answer:26 2/3 feet
Step-by-step explanation:40/30 = 4/3
(26 2/3) / 20= 4/3
Solve the linear equality 4x-7 <5
Answer:
X<3
Step-by-step explanation:
4x-7 <5
4x < 5+7
4x < 12
X < 12/4
X < 3
Hope this helps..
Good Luck!
Please help !! Correct and first answer I will give you brainesttttt!!!!! What is the equation of the line ?
Answer:
y = 3x + 5
Have a good day! :)
Answer:
y=2x+4
Step-by-step explanation:
the line has equation like this y=ax+b
x=0 then y=4 so 4=a*0+b so b=4
y=0, then x=-2, 0=a*(-2)+4 so -2a+4=0,-2a=-4, a=2
so the equation of the line is y=2x+4
verify
x=-1, y=2*(-1)+4=-2+4=2 so the equation is correct
Laure
Lauren made a shopping list of things she could buy
with $100.
Answer:
The shoes and purse each take up 1/4th of the circle (since 25 is 1/4th of 100) so we can eliminate the top 2 choices. Since the dress costs more than the bracelet it will take up more room leaving us with the bottom right circle as the answer.
Answer: The fourth one, or the bottom right hand corner one
Step-by-step explanation:
Shoes: 25 --> 25%
Purse: 25 --> 25%
Bracelet: 15 --> 15%
Dress: 35 --> 35%
Since the circle graph are not exact percentages, you have to estimate on how which values are larger.
which equation is an identity?
Answer:
Option (3).
Step-by-step explanation:
Option (1).
3(x - 1) = x + 2(x + 1) + 1
3x - 3 = x + 2x + 2 + 1
3x - 3 = 3x + 3 [Not True]
Therefore, this equation is not an identity.
Option (2).
x - 4(x + 1) = -3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2 [Not true]
Therefore, this equation is not an identity.
Option (3).
2x + 3 = [tex]\frac{1}{2}(4x + 2) + 2[/tex]
2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3 [True]
Therefore, this equation is an identity.
Option (4).
[tex]\frac{1}{2}(6x-3)=3(x+1)-x-2[/tex]
3x - 1.5 = 3x + 3 - x - 2
3x - 1.5 = 2x + 1 [Not true]
Therefore, this equation is not an identity.
Answer:
2x + 3 = 1/2(4x + 2) + 2
Step-by-step explanation:
"Find the surface area of the following shapes. Round to the nearest tenth if necessary." Is this correct? (Bold Mikado is my work.)
Answer:
360 cm^2
Step-by-step explanation:
First find the area of the bottom
10*10 = 100
The find the area of one of the triangular shapes
A = 1/2 bh since it is a triangle
A = 1/2 ( 10)*13 = 65
Since there are 4 triangles ( 1 for each side), multiply by 4
4*65 = 260
Add the areas together
260+100 = 360
what is the remainder for the synthetic division problem below 3/2-11 7
Answer:
-115.5
Step-by-step explanation:
here's ur answer I hope I was able to help you
Please answer this correctly. I want genius,expert or ace people to answer this correctly
Answer:
6 times.
Step-by-step explanation:
There is a 1/9 chance you pick the orange one. If you pick 54 times, you can expect to pick the orange marble 6 times.
anyone have free time to answer
Answer:
A.34
Do it in this order
PEDMAS
Parentheses
Exponents
division or multiplication (whichever is further left)
addition or subtraction (whichever is further to the left goes first)
3 x 8 = 24
2 x 5 = 10
24 + 10 = 34
A. = 34
For B. we do the addition first because they are inside the parentheses
8+2=10
10 x 3 = 30
30 x 5 = 150
B. = 150
Hope this helps
Step-by-step explanation:
Answer:
the answer is 34.
Step-by-step explanation:
a.3×8+2×5
=24+10
=34
b.3×(8+2)×5
=3×10×5
=30×5
=150
hope this help you!!!!!
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
-5
-2
2
5
Answer:
-2
Step-by-step explanation:
the power is 2 for (x+2) so it will touch the axis
thepower of (x-5) is 3 so it will cross the axis
the correct answer is then -2
hope this helps
Answer:
B. -2
Step-by-step explanation:
Which statements are true? Check all that apply. All rectangles are squares. All rhombi are parallelograms. All squares are rhombi. All trapezoids are parallelograms. No trapezoid is a rectangle.
Answer:
All rhombi are parallelograms.
All squares are rhombi.
No trapezoid is a rectangle.
The population of a city has increased by 35% since it was last measured. If the current population is 29,700 , what was the previous population?
Answer:
19305
Step-by-step explanation:
We simply take the percentage of 29700 to find how many people were added.
29700(0.35) = 10395 <== so 10395 people have been added
Subtract it from the current:
28700 - 10395 = 19305 people before.
g Consider a 1 × n floor to be covered by 1 × 1 tiles that come in three different colors(Blue, Red, Green) and 1 × 2 tiles that come in 2 different colors (orange, white). Find a recurrence relation for the number of the ways the floor can be tiled. (Just find the recurrence relation together with an appropriate number of initial terms. Do not solve the recurrence)
Answer:
[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].
[tex]f(0) := 1[/tex], [tex]f(1) := 3[/tex]
Step-by-step explanation:
Let [tex]f(n)[/tex] be the number of different tiling of [tex]1 \times n[/tex] floor. We can divide all possible tiling of floor [tex]1 \times n[/tex] into five not overlapping groups by color of last cell in the row (Blue, Red, Green, Orange, White).
The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Blue is exactly f(n - 1) because we can throw away last [tex]1\times 1[/tex] tile and cover the rest [tex]1\times (n - 1)[/tex] cells in f(n - 1) ways. Similarly for Red and Green.
The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Orange is exactly f(n - 2) because we can throw away last [tex]1\times 2[/tex] tile and cover the rest [tex]1\times (n - 2)[/tex] cells in f(n - 2) ways. Similarly for White.
So we get recurrent relation:
[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].
Now we should define the initial conditions.
[tex]f(0) := 1[/tex] because there is only one empty tiling.
[tex]f(1) := 3[/tex] because we can place Blue, Red or Green tile.
This completely define our recurent sequence because the depth of reccurence is 2.
what is the midpoint of the horizontal (-2,3) and (10,3)
Simplify this radical.
V84
2/21
242
4/21
4/42
Answer:
2√21
Step-by-step explanation:
√81 is √4 times √21
Since √4 is a perfect square, √4 = 2
We are left with 2 times √21
2√21
Answer:
2√21
Step-by-step explanation:
√84
84 can be written as 4 × 21.
√(4 × 21)
Distribute the square root to both terms.
√4 × √21
4 is a perfect square.
2 × √21
Not sure how to answer question 4
Answer:
Option D is correct
Step-by-step explanation:
Applying the cosine theorem for triangle ABC, you would have:
cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)
= (10^2 + 18^2 - 20^2)/(2*10*18)
= 24/360
=> angle BAC = ~86 deg
Hope this helps!
A biker’s speed is 1.5 times faster than a walker’s. They started simultaneously from the same point and in 1.5 hours the distance between them was 12.5 miles. What are their speeds?
Answer:
Biker = 25 mph
Walker = 16⅔ mph
Step-by-step explanation:
Distance = rate × time
If x is the walker's speed and y is the biker's speed, then:
1.5 y − 1.5 x = 12.5
y = 1.5 x
Solve the system of equations.
1.5 y − y = 12.5
0.5 y = 12.5
y = 25
x = 16⅔
Find all solutions of the equation in the interval [0, 2π). cos x + sin x tan x = 2
Answer:
The solutions of the equation in the interval [0,2π )
={ [tex]\frac{\pi }{3}[/tex] }
General solution θ = 2 nπ +α
θ = [tex]2n\pi + \frac{\pi }{3}[/tex]
Step-by-step explanation:
Step(i):-
Given equation
cos x + sin x tan x = 2
⇒ [tex]cos x + sin x \frac{sin x}{cos x} = 2[/tex]
On simplification , we get
⇒ [tex]\frac{sin^{2} x+ cos^2x}{cos x} = 2[/tex]
we know that trigonometry formula
[tex]sin^{2} x+ cos^2 x = 1[/tex]
now we get
[tex]\frac{1}{cos x} = 2[/tex]
⇒ [tex]cos x = \frac{1}{2}[/tex]
⇒ cos x = cos 60°
Step(ii):-
General solution of cosθ = cosα
General solution θ = 2 nπ +α
θ = 2 nπ +60°
θ = [tex]2n\pi + \frac{\pi }{3}[/tex]
put n = 0 ⇒ θ = 60°
Put n =1 ⇒ θ = 360°+60°= 420°
.....and so on
The solutions of the equation in the interval =[tex]\frac{\pi }{3}[/tex]
Final answer:-
The solutions of the equation in the interval [0,2π )
={ [tex]\frac{\pi }{3}[/tex] }
General solution θ = 2 nπ +α
θ = [tex]2n\pi + \frac{\pi }{3}[/tex]
Help needed ASAP please !!!!
Answer:I believe that it is A but i am not fully sure
Step-by-step explanation:
Any help would be appreciated
The exchange rate at a post office is £1 = 1.77 euros How many euros will you get with £280
Answer:
495.6 Euros
Step-by-step explanation:
If 1 pound equals 1.77 euros we can set up a proportion that;
[tex] \frac{1 pound}{1.77 euros} [/tex]
This proportion would be equal to the new amount;
[tex] \frac{280 pounds}{x euros} [/tex]
This means that
[tex] \frac{1 pound}{1.77 euros} = \frac{280 pounds}{ x euros} [/tex]
So;
[tex]280 pounds*1.77 euros / 1 pound[/tex]
Pounds cancel out; and so you have
[tex]280 * 1.77 euros[/tex]
giving you as performed on a calculator;
495.6 euros.
Hope this helps
Answer:
495.6 euros.
Step-by-step explanation:
For each pound we get 1.77 euros so:
it is 280 * 1.77
= 495.6 euros.
Which of the following is NOT a collinear point in the image below?
Help me please thank u
Answer:
4+3n
Step-by-step explanation:
We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.
What type of number can be written as an a fraction a/b where a and b are Integres and b is not equal to zero?
Answer:
Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.
Step-by-step explanation:
The following subset of the real number system can be written in the form [tex]\dfrac{a}{b}[/tex], b≠0.
Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as [tex]\dfrac{5}{1}[/tex]
Terminating Decimals: These are fractions that when converted to decimal numbers have an end.
e.g. [tex]\dfrac{5}{2}=2.5[/tex]
Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.
e.g. [tex]\dfrac{8}{11}=0.727272...=0.\overline{72}[/tex]
Proper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a<b. An examples is [tex]\dfrac{4}{5}[/tex]
Improper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a>b. An examples is [tex]\dfrac{5}{4}[/tex]