Answer:
7.5m
Step-by-step explanation:
Set up a proportion and cross multiply to find the unknown
Hope this helps
The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given question,
Elongation of spring in 180 newtons = 5 cm
The ratio of elongation to force applied = 5/180
The force the second time is 270 newtons.
Let's say the elongation at this time is x cm.
The ratio of elongation to force applied = x/270
Both ratios must be the same.
Therefore, x/270 = 5/180
x = 270/36 = 7.5 cm
Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".
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What is x^2-4+4? Thanks!
Answer:
(x-2)(x-2) or (x-2)^2
Step-by-step explanation:
Hope this helps!
T.
G
1.6 cm
6 cm
6 cm
-
Find volume
Answer:
57.6......
Step-by-step explanation:
v=lxbxh...........
Negative four and one-fifth minus negative thirteen and one-tenth
Answer:
8 nine tenths
Step-by-step explanation:
Simplify the expression to a + bi form: (10 + 6i)(- 2 - 4i)
[tex] \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} [/tex]
[tex] \\ [/tex]
Explanation:To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.
[tex] \\ [/tex]
[tex] \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} [/tex]
[tex] \\ [/tex]
Let's identify our coefficients and expand the given expression:
[tex] \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 [/tex]
[tex] \\ [/tex]
In the complex number system, i² = -1. Therefore, our final answer is:
[tex] \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the algebraic form of a complex number here:
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5) A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
Hello logan693616!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
A positive plus a negative will sometimes be negative.
Suppose, we take a positive number whose value is greater than that of the negative number. While adding them, we'll take the sign of the greater number, which in this case is positive, so our answer will be a positive number. For example, +4 + (-3) = +1.Now, if we take a negative number which is greater than the positive number, the sum of the two numbers will be negative. For example, (-4) + 3 = -1.So, the answer can actually depend based on the value of the numbers used.Hence, our answer is ⇨ A positive plus a negative will sometimes be negative.__________________
Hope it'll help you!
ℓu¢αzz ッ
i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation:
I NEED HELP ASAP I WILL MARK BRAINLIEST :’]
The question is “Find the equation of the line. Use exact numbers.”
Answer:
y=x-5
Step-by-step explanation:
If l is parallel to m find the value of X (x+72)=(3x)
Answer:
x = 27°
Step-by-step explanation:
Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
The solution to the above problemGiven the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
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form the equation: maha's father is 46 years old. He is 6 years older than four times maha's age. (let maha's age be x)
Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]
Answer:
-63Step-by-step explanation:
= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ansHOPE IT HELPS YOU!!!!Answer:
-63 that should help
Step-by-step explanation:
Write the equation of the line parallel to a line with the equation y = -6x+4 and passes through the point (-2, 6).
Answer:
its 0
Step-by-step explanation:
yea i made that up I NEED POINTS ALR
Round 11.036568047 to 4 decimal places.
Answer:
11.0366
Step-by-step explanation:
Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366
Hope this helps!
The number is rounded up to 11.0366.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on...
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..
Thus, The tens means multiply by 10
Thus, The tenth means tenth part of that digit which is that digit divided by 10
If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 -
6 is higher than 5 so, the number is rounded up to 11.0366.
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Two friends, Bart and Claudia, purchased concessions at a basketball game.
Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?
Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.
Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.
Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.
Drinks cost $1.00 each, and candy bars cost $0.75 each.
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)
Answer:
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given that,
[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]
On comparing real and Imaginary parts, we get
[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]
and
[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]
[tex]\rm \: = \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]
[tex]\rm \: = \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]
[tex]\rm \: = \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]
[tex]\rm \: = \: 4{x}^{2} - {4y}^{2}[/tex]
[tex]\rm \: = \: 4({x}^{2} - {y}^{2})[/tex]
Hence, Proved
Please helppppp please
Answer:
its B
Step-by-step explanation:
I did this in class
C = 5/9 × (F – 32)
122°F = °C
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
5x + y over A equals 2, solve for x
Answer:
2+y over 5
Step-by-step explanation:
5x + y =2
5x=2+y
x=2+y over t
here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
i need to find out what the answer to this math problem is. 7/8 divided by 1/6
Jenna had $180.47 in her checking account. She bought groceries for $75.11 and gas for $29.64. How far below $100 is her checking account now?
$80.47
$4.74
$24.28
$75.72
Answer:
75.72
Step-by-step explanation:
HELP ASAP PLS 10 POINTS
Answer:
try a or b hope this helps
Answer:
top right
Step-by-step explanation:
A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?
what is 8 divided by 9/10
7 divided by 5/8
8 divided by 1/2
9 divided by 2/3
8 divided by 5/8
8 divided by 1/4
1 divided by 5/10
8 divided by 1/3
Answer:
8 divided by 9/10
= 8.8888... = 8 8/9
7 divided by 5/8
= 11.2 = 11 1/5
8 divided by 1/2
= 16
9 divided by 2/3
= 13.5 = 13 1/2
8 divided by 5/8
= 12.8 = 12 4/5
8 divided by 1/4
= 32
1 divided by 5/10
= 2
8 divided by 1/3
= 24
Step-by-step explanation:
i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?
The length of the bacteria should be written in scientific notation.
0.00365 in scientific notation = 3 × 10^-3
Given.
length of the bacteria in decimal = 0.00365 cm long
Scientific notation is written in the format x × 10ⁿ
where,
x = any number between digit 1 and 10
n = exponent (positive or negative).
To have a negative exponent value, move decimal to the rightTo have a positive exponent value, move the decimal point to the left.In this case, the nearest significant value is 3
So move the decimal point three times to where 3 is
That is,
0.00365 = 3.65
Since the decimal point is moved to the right 3 times, n = - 3
we have 10^-3
Therefore,
0.00365 in scientific notation = 3 × 10^-3
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Find the value of 19-b when b=7
Answer:
12
Step-by-step explanation:
What is the domain in (6-4),(8,-4), (8,-8)}?
a) 2,4.13
c) -4,-8}
b) {6,8}
d) (-2,00)
Answer:
B
hope this helps
find the value of x using the triangle
Answer:
x=13
Step-by-step explanation:
See attached image. If you have any questions, let me know!
Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?
If necessary, round your answer to the nearest whole number.
9514 1404 393
Answer:
567
Step-by-step explanation:
The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...
900(0.95^9) ≈ 567
About 567 voters are expected to vote 9 years from now.
1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation: