Answer:
I think 1500 but u may need some else to be sure
Prove algebraically that n^2-2-(n-2)^2 is always even
Answer:
It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)
Step-by-step explanation:
[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]
Step-by-step explanation:
x+3/2 + (x-1) = 4/5
Answer:
x = [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{3}{2}[/tex] + (x - 1) = [tex]\frac{4}{5}[/tex]
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
10x + 15 + 10(x - 1) = 8
10x + 15 + 10x - 10 = 8
20x + 5 = 8 ( subtract 5 from both sides )
20x = 3 ( divide both sides by 20 )
x = [tex]\frac{3}{20}[/tex]
x + 3/2 + x - 1 = 4/5
Collect the same terms
x + x + 3/2 - 1 = 4/5
2x + 3/2 - 2/2 = 4/5
2x + (3 - 2)/2 = 4/5
2x + 1/2 = 4/5
2x + 0.5 = 0.8
Subtract both sides 0.5
2x + 0.5 - 0.5 = 0.8 - 0.5
2x + 0 = 0.3
2x = 3/10
Divide both sides by 2
2x ÷ 2 = ( 3/10 ) ÷ 2
x = 3/10 × 1/2
x = 3/20
_________________________________
Check :3/20 + 3/2 + ( 3/20 - 1 ) = 4/5
3/20 + 30/20 + ( 3/20 - 20/20 ) = 4/5
(3 + 30)/20 + (3 - 20)/20 = 4/5
33/20 - 17/20 = 4/5
(33 - 17)/20 = 4/5
16/20 = 4/5
4 × 4 / 4 × 5 = 4/5
4/5 = 4/5
Thus we found the correct value of x .
And we're done...
can someone do this step by step pls:)
Answer:
23
4* 4 = 16
cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]
16 + 2.4[tex]\pi[/tex] = 23.53
Step-by-step explanation:
3(y+6)=30 solve equation
Answer:
3(y+6)=30
3y + 18 = 30
18 - 30 = 3y
12 = 3y
12/3 = y
4 = y
or
y = 4
Which equation is a radical equation? 4p =√-3 + p x√3 + x =^3√2x 7√11– w = –34 5 – ^3√8= v√16
Answer:
See explanation
Step-by-step explanation:
The given options are not properly formatted; so, I will give a general explanation instead
An equation is said to be radical if its variable is in a radicand sign.
For instance, the following equation is a radical;
[tex]\sqrt x + 2 = 4[/tex]
In the above equation, x is the variable, and it is in [tex]\sqrt[/tex] sign
However, the following equation is not a radical equation
[tex]x + \sqrt 4 = 2[/tex]
Because the variable is not in a radicand
Help me solve this problem please
Answer:
C: 165mi, 40mi, 115mi
Step-by-step explanation:
hope it helps :)
The 584 students at Sunset Elementary School participated in a canned food drive. Each student brought an average of 7 cans. If the school had a goal to donate 3,500 cans, by how much did they exceed their goal?
Answer:
they exceeded their goal by 668 cans.
Step-by-step explanation:
multiplying 524 by 7 you get 3668, then subtracting 3,000 from that you get 668.
Evaluate the function. Please help! ASAPPP!!!!
Answer:
B
Step-by-step explanation:
p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25
p(5)=1/4(5)+2.5
=5/4+2.5
=1.25+2.5
=3.75
Find the inverse of the function y = x2 – 12
Answer: [tex]y=\sqrt{x+12}[/tex]
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
[tex]y=\sqrt{x+12}[/tex]
Help me please and thank you.
Answer:
[tex]0.67x-2=0.43[/tex]
Step-by-step explanation:
2/3 = 0.6 repeating
3/7 = 0.42857
A rectangular prism and a pyramid have congruent bases and equal altitudes.Wha is the retio between the volume of the pyramid to the volume of the rectangular prism.What is the answer
Answer:
The required ratio is 1 : 3.
Step-by-step explanation:
Let the length is L, width is W and the height is H.
Volume of the prism is
V = LW H
Volume of the pyramid
V' = 1/3 L W H
Ratio of volume of pyramid to the prism is
[tex]\frac{V'}{V} = \frac{1}{3}[/tex]
The measure of an angle formed by _blank_ is half the sum of the measures of the intercepted arcs
Answer:
The measure of an angle formed by Intersecting chords is half the sum of the measures of the intercepted arcs.
-----------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Answer:
Intersecting Chords
Step-by-step explanation:
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
Write the number in standard notation. 9.07 x 10−2
Answer:
Yeah, so that is right, just put it into a formula.
[tex]9.07*10x^{-2}[/tex]
Evaluate x^-2 for x = -3 plsss i really need help on this thank you
Answer: -1/9
Step-by-step explanation:
Answer:
- 1/9 OR -0.111....
Step-by-step explanation:
Make x= -3
-3^-2= -1/9
The nth term for the question
Answer:
Step-by-step explanation:
1) nth therm = dn + (a - d)
-10n + (11+10)
-10n + 21
t11 = -110 + 21 = -89
2) nth therm = 3n + (-66 - 3)
3n - 69
t16 = 48 - 69 = -21
15 POINTS AND BRANLIEST!!!
y = ?x + ?
Answer:
y = -x - 6
Step-by-step explanation:
Parallel lines have same slope
y = -x + 9 {y = mx + c}
m = -1
(x₁, y₁) = (7 , -13)
Equation: y - y₁ = m(x -x₁)
y - [-13] = -1(x -7)
y+ 13 = -x + 7
y = - x + 7 - 13
y = -x - 6
In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?
How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?
Answer:
Step-by-step explanation:
you can divide 11/30 and get 0.37
0.37%/ 100*11 =
Multiply:
0.37*11 =
add the 100 to the product you multiplied and divide them together:
4.07/100=
your quotient:
0.0407
round by 2 decimals:
0.04
your final answer is :
0.04
PLEASE SOMEONE HELP I need help ASAP!!!
Answer:
using the pythagoras theorem
Step-by-step explanation:
[tex] \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3[/tex]
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
The points lie INSIDE THE CIRCLE
hope it helps
have a nice day
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Find the area
Help me please
Answer:
143
Step-by-step explanation:
A = [tex]\frac{Base1 + Base2}{2}[/tex] x h
A = [tex]\frac{8 + 18}{2}[/tex] x 11
A = [tex]\frac{26}{2}[/tex] x 11
A = 13 x 11
A = 143
Answer:
none of the multiple choice are right, it's 143
Step-by-step explanation:
use trapezoid formula
a+b
------- h
2
26
----- h
2
13×11= 143
a_(n)=7n-1 9 ( what is the fourth term)
PLEASE HELP ASAP.
Answer:
Fourth term of given arithmetic progression a(4) = 30
Step-by-step explanation:
Given incomplete information:
a(n) = 7n - 1 9
Assume Correct information:
a(n) = 7(n - 1) + 9
Find:
Fourth term of given arithmetic progression
Computation:
Fourth term of given arithmetic progression = a(4)
So,
Number of term (n) = 4
So,
a(n) = 7(n - 1) + 9
a(4) = 7(4 - 1) + 9
a(4) = 7(3) + 9
a(4) = 21 + 9
a(4) = 30
Fourth term of given arithmetic progression a(4) = 30
Find all solutions to the equation.
cos x = sin x (6 points)
Answer:
Step-by-step explanation:
cos x=sinx
divide by cos x
1=tan x
tan x=1
[tex]tan x=1=tan \frac{\pi }{4}=tan (n\pi +\frac{\pi }{4})\\x=n\pi +\frac{\pi }{4} ,\\where~n~is~an~integer.[/tex]
what is the mesure of DBC?
Answer:
41
Step-by-step explanation:
please help me it’s urgent
Answer:
600g of Flour
Step-by-step explanation:
According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.
Answer:
600 g of flour.
Step-by-step explanation:
If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.
If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.
Therefore, she will need 600 g of flour.
Simplify: 4y2 + 5y + 2 + 8y2 + 4y + 5.
Answer:
12y² + 9y + 7
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4y² + 5y + 2 + 8y² + 4y + 5
Step 2: Simplify
Combine like terms (y²): 12y² + 5y + 2 + 4y + 5Combine like terms (y): 12y² + 9y + 2 + 5Combine like terms: 12y² + 9y + 7Answer:
12y² + 9y + 7
Step-by-step explanation:
4y² + 5y + 2 + 8y² + 4y + 5
Simplify :-
4y² + 5y + 2 + 8y² + 4y + 5
arranging like terms4y² + 8y² + 5y + 4y + 2 + 5
Combine like terms12y² + 9y + 7
A pipe 11/15 liters of tub in 22/45 minutes what is its flow rate in terms of liters per minute
Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To know more about expression follow
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help me por favor?!?!?!
Answer:
both lines have the same slope, hence they are parallel to each other
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.
Given a line with an equation:
y = (2/3)x - 17
From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.
Also the other line has an equation of 4x - 6y = -6
6y = 4x + 6
y = (2/3)x + 1
Hence this line has a slope of 2/3 and a slope of 1.
Since both lines have the same slope, hence they are parallel to each other
find the least common denominator for these fraction 4/8 and 1/4
Answer:
8Step-by-step explanation:
As,
1/4 = (1×2)/(4×2) = 4/8
4/8 = (4×1)/(8×1) = 4/8
In both case,
The denominator 8 is least common multiple