Answer:
12m
Step-by-step explanation:
Given that the area of the square DVD case is 144 square cm
Since Area = L²
144 =L²
L = √144
L = 12m
Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m
what is the total amount of RS.7500 at the rate of 5.5% per annum in 42 months?find it.
Answer:
Please check out the attachments below to get the answer
Use the first five terms of the binomial theorem to approximate (-1.4)^8
Answer:
14.75789056
Step-by-step explanation:
I think so...
The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
Given expression as (- 1.4)⁸
as a result, if you have raised a negative integer to an even power, the response will be positive.
Eliminating the negative sign.
⇒ (1.4)⁸ = (1+0.4)⁸
⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴
⇒ 1+3.2+4.48+3.584+1.792
⇒ 14.056
If we used one more term we would get 14.62944
Learn more about the binomial theorem here:
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Find the product (x - 10) ( x - 5)
꙰ Hello there mohammedsaquibali45 ! My Name is ⚝Tobie⚝ and I'm glad you asked! Let me walk you step by step in order to comprehend the question better! ꙰
i
{x}^{2}-5x-10x+50
x
2
−5x−10x+50
ii Collect like terms.
{x}^{2}+(-5x-10x)+50
x
2
+(−5x−10x)+50
iii Simplify.
{x}^{2}-15x+50
x
2
−15x+50
(x - 10)(x - 5) = ...
= x^2 + (-10 + (-5))x + (-10•(-5))
= x^2 - 15x + 50
factor the quadratic expression x2 +16x+48
Answer:
(x+4)(x+12)
Step-by-step explanation:
Answer:
(x +4) (x+12)
Step-by-step explanation:
product 48
Sum 16 ( 12 and 4)
(x2 +12x) +(4x +48)
=(x+4) (x+12)
Currently, your masks sell for $1 each. At that price you are able to sell 6000
masks per week: A recent survey you conducted found that for every 10 cent
increase in the price of the mask package you would sell 150 less mask packages..
The current price of the mask is $1 per mask and there is expected demand of 6000 masks per week.
If the company plans to increase the price the demand for the masks will decrease.
Revenue = 6000 * x
Total revenue will be $6,000 if the price of mask is $1. If price of mask increase by 10% then quantity will be declined to 5850 masks [6000 - 150].
New price = $ 1 * 110% = $1.10
Revenue = 5850 masks * $ 1.10 = $6,435.
Then correct answer is Revenue will increase if price of mask is increased.
Learn more at https://brainly.com/question/24319270
wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.
At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.
The amounts of salt in either tank change according to
dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)
dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)
To break this down a bit, consider tank A, for instance:
• solution flows in from B at a rate of 2 gal/min
• the volume of liquid in tank B after t minutes is
100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal
because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute
• at any time t, the solution in B contains x₂ pounds of salt
• the concentration of the solution in A is then x₂/(100 - t ) lb/gal
• multiplying this by the inflow rate tells you how much salt is moving around each minute
Which of the following is the place value of the underlined digit? 35.1789
A ten-thousandths B tenths
C thousandths D hundredths
Answer:
1 = tenths place
7= hundredths place
8= thousandths place
9= ten-thousandths place
Step-by-step explanation:
factorise complete 4-（X-1）2？
Answer:
hope it helps you
Step-by-step explanation:
mark it brainliest answer
i need help asap!! thank you, your help is really appreciated
Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
Answer:
19. 11
21. 119
Step-by-step explanation:
19.
(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =
= (-5)² - [4(-6 + 4)² + 3] + 5
= (-5)² - [4(-2)² + 3] + 5
= (-5)² - [4(4) + 3] + 5
= (-5)² - [16 + 3] + 5
= 25 - 19 + 5
= 6 + 5
= 11
21.
5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 14] - 3² · (-2)
= 5 - 8[2 - 14] - 3² · (-2)
= 5 - 8[-12] - 3² · (-2)
= 5 - (-96) - 9 · (-2)
= 5 + 96 + 18
= 101 + 18
= 119
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Algebra one need help ASAP
Answer:
a=6
Step-by-step explanation:
12-2a=3(a-6)
or,12-2a=3a-18
or,12-5a=-18
or,-5a=-30
or,a=6
hope this helps
find the area of the right triangle
Answer:
Area: 24 sq units
Step-by-step explanation:
Area of a rectangle formula:
A = 0.5bh
Given:
b = 6
h = 8
Work:
A = 0.5bh
A = 0.5(6)(8)
A = 3(8)
A = 24
Answer: A = 24 unit²
Concept:
The area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.
Area (triangle) = bh/2
b = base
h = height
Solve:
Given information
1 unit = 1 grid
b = 6 grids = 6 × 1 = 6 units
h = 8 grids = 8 × 1 = 8 units
Given expression
A = bh / 2
Substitute values into the expression
A = (6) (8) / 2
A = 48 / 2
A = 24 units²
Hope this helps!! :)
Please let me know if you have any questions
You continue to work on a
paper that you started many days ago. If you work from 8:10pm to 9:35pm, find the
measure of the angle, in radians, that the minute hand travelled during this time.
- 510 degrees
- 180 degrees
- 630 degrees
- 210 degrees
Answer:
510°
Step-by-step explanation:
Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins
Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°
if 60mins = 360°
85mins=
[tex] \frac{85}{60} \times 360[/tex]
= 510 degrees
what is twelve less than a variable
Answer:
x - 12
Step-by-step explanation:
"twelve" - number
"less than" - switches the entire expression
"a variable" - a unknown number shown as a letter. can be x.
Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.
12 - x will turn into:
x - 12
Hope this helped.
Answer:
x-12
Step-by-step explanation:
Let the variable be x
12 less than x
x-12
A car is purchased for $21,500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?
Answer:
$5,102.05
Step-by-step explanation:
Present value of the car = $21,500
Present percentage value = 100% = 1
Percentage of Depreciation per year = 25% = 0.25
Years of depreciation = 5 years
The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation
= 21,500(1 - 0.25)^5
= 21,500(0.75)^5
= 21,500(0.2373046875)
= 5,102.05078125
Approximately,
The value of the car after 5 years = $5,102.05
Look at this cube:
If the side lengths are doubled, then which of the following statements about its surface area will be true?
Which is the mode for the data set? −1, 0, 3, 4, −3, −1
0.3 −1 2 −0.5
Answer:
-1
Step-by-step explanation:
Mode is the number that appears most often
−1, 0, 3, 4, −3, −1
-1 appears twice which is more than any other number
-1 is the mode
14.
Which is the most reasonable measure for the length of
a bicycle?
C. 2 cm
B. 2 m
A. 2 mm
D. 2 km
Answer:
B 2 m
Step-by-step explanation:
2 cm and 2 mm are way to small they are less than the size of a cell phone
2 km is way to large it is larger than a car
Which of the equations are true identities?
A. m^3-1= (m - 1) (1 + m + m²)
B. (n + 3)^2 + 2n = 8n + 13
Answer:
Equation A is true; Equation B is not
Step-by-step explanation:
There is a standard formula for the "difference of cubes" that is:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
and this perfectly matches equation A.
Equation B has the square of n (n^2) on the left side but not on the right side. Thus this is not an identity.
What digit placed in the blank would make the number 138_ divisible by both 4 and 5
Answer:
The digit that should be placed in the blank is 0.
Step-by-step explanation:
We are given the four-digit number: 138_
And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.
A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.
Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.
80 is indeed divisible by 4, while 85 is not.
In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.
Find the value of x.
Answer:
ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ
ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ
ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ
ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ
ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ
ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ
ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ
ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ
ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛
ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖
ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️
ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ
ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ
ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ
ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️
ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ
Step-by-step explanation:
hehehehehe I'm xxxxxdSaniya........ Khan ❤️the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas
Answer:
25:4
Step-by-step explanation:
The ratio of the sides is 5:2
The ratio of the areas is the scale factor squares
5^2 : 2^2
25:4
& A wall is 20 m long and 5 m high. Find the area of the wall. How many 2 m long 2 m broad flex be fitted on the wall? Suppo tanks the se be and Cuboid
Area of wall = l×b
Length = 5m
Breadth = 20m
Area = 5×20
=100m²
Area of flex = side×side
= 2×2
= 4m²
Now no of flex that can be fitted = 100/4
= 25 flex
Must click thanks and mark brainliest
8m-12-6m+4m help I suck at math
8m+4m-6m-12
12m-6m-12
12m-6m
-6m
Please help me to solve these questions as soon as possible. Thank you
1) 6 is a common factor of 36 and y. Find the possible value of y.
A. 25 B. 48 C.57 D. 81
2)Which of the following shows 180 as the product of prime factors？
A. 180=2×90
B.180=2×2×45
C.180=2×2×3×15
D.180=2×2×3×3×15
Answer:
1) B, 48
2) C. 180=2x2x3x15
Step-by-step explanation:
Two lines parallel to a third line are parallel to each other. never sometimes always
Answer:
always
Step-by-step explanation:
they would all have the same gradient & be parallel to each other!
ie. A || B , B || C
in this case, A || C ^^
Answer:
always
Step-by-step explanation:
have the same gradient & be parallel to each other
f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
xpower4 minus 16 bracket b minus c whole power 4
Answer
6372 - power 4
Step-by-step explanation:
Gabby piggy bank contains dimes and quarters worth $8.55. If she has 63 coins in all how much does she have
Answer: 48 dimes, 15 quarter
Step-by-step explanation:
Given
The money is of the net worth of [tex]\$8.55[/tex]
If there is total of 63 coins
Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter
[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]
Solve (i) and (ii)
[tex]x=48,y=15[/tex]
Thus, there are 48 dimes and 15 quarters
