find the volume of water which can fill a cubic shaped vessel with a side of 16cm in,
i. cubic centimeters
ii. cubic meters
iii. millileters
iv. litres
v. litres and milliletres
Answer:
litres bro
Step-by-step explanation:
yes the litres answer is correct
5 ducks to 30 geese
Answer:
6
Step-by-step explanation:
Find the sum Sn of the first n terms from the given sequence.
1, 1+2, 1+2+3, 1+2+3+4, ...
Please show your work and use Sigma Notation too. Thank you!
The Sequence:
1 , 1+2 , 1+2+3 , 1+2+3+4, ...
here, every term is an AP. finding the general formula for the sum of the elements of each term is:
Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex] [where x = number of term, a = first term and d = common difference]
here, the first term is always 1 and so is the common difference.
Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]
Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]
which is the formula for a general term in our series
now, we need to find the sum of the first n terms of this series
[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]
[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]
in this formula, for the first term, it's just an AP from x = 1 to x = n
for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]
[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
in this AP (first term), the first term and the common difference is 1 as well
[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]
[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]
[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]
[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]
[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]
[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]
[tex]\frac{n(n+1)(n+2)}{6}[/tex]
which is the sum of n terms of the given sequence
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
Someone please help.
Hi there!
[tex]f(x)+f(x+1)=4f(x)[/tex]
There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
1) f(x)
We're given that [tex]f(x)=3^x[/tex]:
⇒ [tex]f(x)=3^x[/tex]:
2) f(x+1)
Now, we must find f(x+1). To do so, add 1 to x in the original function [tex]f(x)=3^x[/tex]:
⇒ [tex]f(x+1)=3^x^+^1[/tex]
3) 4f(x)
To find 4f(x), multiply the original function [tex]f(x)=3^x[/tex] by 4:
[tex]4f(x)=4*3^x[/tex]:
4) Put it all together
Now, plug each of the three parts into the equation [tex]f(x)+f(x+1)=4f(x)[/tex]:
[tex]f(x)+f(x+1)=4f(x)[/tex]
[tex]3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x[/tex]
Factor the left side
[tex]3^x*(1+3)=4*3^x[/tex]
Divide both sides by 3^x
[tex]1+3=4\\4=4[/tex]
Because this equation is true, [tex]f(x)+f(x+1)=4f(x)[/tex] is therefore true.
I hope this helps!
I need help With math
Answer:
Step-by-step explanation:
0.919191....It can be represented as a fraction. You can always make repeating decimals into fractions.
It does not terminate. 91 will go on forever. It's a repeating decimal
We don't know what the second one does. You are likely not supposed to say it repeats; it certainly does not terminate. It cannot be made into a fraction.
0.555 This terminates. It can be written as a fraction.
It can be written as a fraction. It repeats. It contains a repeating decimal which can always be written as a fraction.
R is between Q and S. If QR = 33.4 and SQ = 80, find RS.
Hi! I'm happy to help!
To solve this problem, we need to find out what part isn't already listed.
We know that The entire line (SQ) is 80, and the part of the line that isn't RS (QR) is 33.4. The rest of the line must be the difference between 80, and 33.4. To find the difference we use subtraction:
80-33.4
44.6
So, RS is 44.6
I hope this was helpful, keep learning! :D
The calculated length of the segment RS is 46.6
How to determine the length of the segment RSFrom the question, we have the following parameters that can be used in our computation:
R is between Q and S.
QR = 33.4 and SQ = 80
using the above as a guide, we have the following:
QR + RS = QS
substitute the known values in the above equation, so, we have the following representation
33.4 + RS = 80
So, we have
RS = 80- 33.4
Evaluate
RS = 46.6
Hence. the length of the segment RS is 46.6
Read more about side lengths at
https://brainly.com/question/29135476
#SPJ3
Howard pays $327 for one dozen collector’s edition baseball cards. About how much does he pay for each baseball card?
Answer:
27.25$
Step-by-step explanation:
1 dozen is 12.
327$ ÷ 12 is 27. 25
Answer:
$27.25.
Step-by-step explanation:
327/12
= $27.25
last one !! will mark brainliest
Step-by-step explanation:
1/2x + 10 = 1/4x + 54 Subtract 1/4x on both sides
1/4x + 10 = 54 Subtract 10 on both sides
1/4x = 44 Multiply both sides by 4
x = 176
9514 1404 393
Answer:
x = 176
Step-by-step explanation:
Clear fractions by multiplying by 4.
2x +40 = x +216
Subtract x+40.
x = 176
a text message plan costs $1 per month plus $0.41 per text. find the monthly cost for x text messages
the monthly cost of x messages is _ dollars
Answer:
Cost = $1 + $0.41x
Step-by-step explanation
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
which expression is equivalent to 2•2 3 •8
Answer:
2^7
Step-by-step explanation:
2 * 2^3 *8
Rewriting 8
8 = 2^3
2 * 2^3 * 2^3
We know that a^b * a^c = a^(b+c)
2^1 * 2^3*2^3
2^(1+3+3)
2^7
How do you solve for LMN? I keep getting 15
Answer:
60°
Step-by-step explanation:
90° = 6x
15° = x
60° = 4x
Answer:
60
Step-by-step explanation:
We know that LMO = 90
2x+4x = 90
6x = 90
Divide by 6
6x/6 = 90/6
x = 15
We want to find LMN = 4x = 4*15 = 60
help!! i really don’t know how to do this!!
What is s²t-10 if s=-8 and t=[tex]\frac{3}{4}[/tex]
Answer:
38
Step-by-step explanation:
Substitute the given values into the expression
(- 8)² × [tex]\frac{3}{4}[/tex] - 10
= 64 × [tex]\frac{3}{4}[/tex] - 10
= (16 × 3) - 10
= 48 - 10
= 38
Answer:
38
Step-by-step explanation:
When [tex]s^{2}t-10[/tex], s = -8 and t = 3/4
= [tex]-8^{2} \frac{3}{4} - 10[/tex]
= 64[tex]\frac{3}{4}[/tex] - 10
= (16 * 3) - 10
= 48 - 10
= 38
42.3952 to the nearest thousandths
Answer:
42.395
Step-by-step explanation:
The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle?
ty<3
[tex]thank \: you[/tex]
please help me! look at the image and answer.
Step-by-step explanation:
Find x-intercept (where line cuts the x axis) by substituting y=0.
Find y-intercept by substituting x=0.
Once you get those 2 intercepts, join them with a straight line.
Define the domain and range of the function and state whether it is one-to-one, onto, both or neither.
Answer:
Neither
Step-by-step explanation:
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
Which of the choices shows these values arranged from greatest to
least?
.68% 2.43
12/6 2 over -3
Answer:
vdffdersewsesdfdresweseseseeerswesdsfd
Step-by-step explanation:
reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww
−x2+6zy=
x=10, y=−2, and z=−5.
Answer:
- 40
Step-by-step explanation:
Substitute the given values into the expression
- x² + 6zy
= - 10² + 6( - 5 × - 2)
= - 100 + 6(10)
= - 100 + 60
= - 40
Solve the formula for the indicated variable.
B = qt+q, fort
Answer:
Step-by-step explanation:
f(x) = |6x| - 2 ; reflection in y-axis
write a function g whose graph represents the indicated transformation of the graph of f.
Hope this helps you. Thank you....
Using the reflection concept, it is found that the function g is given by:
[tex]g(x) = |6x| - 2[/tex]
-------------------
Reflecting a function f(x) over the y-axis is equivalent to finding a function g(x) defined by: [tex]g(x) = f(-x)[/tex]-------------------
In this question, the parent function is: [tex]f(x) = |6x| - 2[/tex]Reflecting over the x-axis:
[tex]g(x) = f(-x)[/tex]
[tex]g(x) = |6(-x)| - 2[/tex]
[tex]g(x) = |-6x| - 2[/tex]
Modulus is an even function, thus [tex]|-6x| = |6x|[/tex], and:
[tex]g(x) = |6x| - 2[/tex]
For more on reflections over the y-axis, you can check https://brainly.com/question/17686579
Subtract. − 11 − ( − 6) brainliest
Answer:
-5
Step-by-step explanation:
− 11 − ( − 6)
= -11 + 6
= -5
Answer:
-5
Step-by-step explanation:
-11-(-6)
-11--6
NB: --=+
-11+6
-5
Therefore, the answer is -5.
if you rolled a die what is the probability that you would roll a 4 or 5
Answer:
1/3
a dice has 6 sides and the probability of getting 4 or 5 is just 2/6 which simplifies to 1/3
Find the value, n(A), if n(B)=33, n(A intersectionB)=12 and n(A union B) =59
Answer:
38
Step-by-step explanation:
nAuB=nA+nB-nA∩B. take nA as x
now substitute
59=x+33-12
59=x+21
x=59-21
x=38
What is the measure of angle A?
Select the best answer from the choices provided.
A.26°
B.32°
C.64°
D.78°
Angle B is 90 degrees so angle A and c when added also equal 90:
7x + 8 + 3x + 2 = 90
Simplify:
10x + 10 = 90
Subtract 10 from both sides
10x = 80
Divide both sides by 10
X = 8
Now you have x calculate angle A:
7x + 8 = 7(8) + 8 = 56 + 8 = 64
Answer: C. 64
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , so
7x + 8 + 3x + 2 + 90 = 180 , that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C
For what value of w is 4w = 2w - 8 ?
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]